KEMPER HORIZON FUND
485BPOS, 1998-11-30
Previous: KEMPER HORIZON FUND, 497, 1998-11-30
Next: FIRST TRUST COMBINED SERIES 265, 485BPOS, 1998-11-30




    As filed with the Securities and Exchange Commission on November 30, 1998

                                             1933 Act Registration No. 33-63467
                                             1940 Act Registration No. 811-7365

                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM N-1A

REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933

         Pre-Effective Amendment No.
                                    ----
         Post-Effective Amendment No. 3
                                     ---

                                     and/or

REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940            /   /

         Amendment No. 5                                                   /   /
                      ---
                               KEMPER HORIZON FUND
                               -------------------
               (Exact name of Registrant as Specified in Charter)

               222 South Riverside Plaza, Chicago, Illinois 60606
               --------------------------------------------------
               (Address of Principal Executive Offices) (Zip Code)

       Registrant's Telephone Number, including Area Code: (312) 781-1121
                                                           --------------

                               Philip J. Collora,
                          Vice President and Secretary
                               Kemper Horizon Fund
               222 South Riverside Plaza, Chicago, Illinois 60606
               --------------------------------------------------
                     (Name and Address of Agent for Service)

                                 With a copy to:

                                Cathy G. O'Kelly
                                 David A. Sturms
                        Vedder, Price, Kaufman & Kammholz
                222 North LaSalle Street, Chicago, Illinois 60601
                -------------------------------------------------

It is proposed that this filing will become effective

            /   /   immediately upon filing pursuant to paragraph (b)

            / X /   on November 30, 1998 pursuant to paragraph (b)

            /   /   60 days after filing pursuant to paragraph (a)(1)

            /   /   on (date) pursuant to paragraph (a)(1)

           /   /    75 days after filing pursuant to paragraph (a)(2)

           /   /    on (date) pursuant to paragraph (a)(2) of Rule 485

If appropriate, check the following:

          / X /     this  post-effective  amendment  designates a new  effective
                    date for a previously filed post-effective amendment

<PAGE>

                               KEMPER HORIZON FUND
                              CROSS-REFERENCE SHEET

                       Between Items Enumerated in Part A
                           of Form N-1A and Prospectus
                           ---------------------------

<TABLE>
<CAPTION>
PART A
- ------

    Item Number        Item Caption                     Prospectus Caption
    -----------        ------------                     ------------------

         <S>           <C>                              <C>
         1.            Cover Page                       COVER PAGE

         2.            Synopsis                         SUMMARY
                                                        SUMMARY OF EXPENSES
                                                        SUPPLEMENT TO PROSPECTUS

         3.            Condensed Financial              FINANCIAL HIGHLIGHTS
                       Information

         4.            General Description of           SUMMARY
                       Registrant                       INVESTMENT OBJECTIVES
                                                        POLICIES AND RISK FACTORS
                                                        CAPITAL STRUCTURE

         5.            Management of the Fund           SUMMARY
                                                        INVESTMENT MANAGER AND UNDERWRITER

        5A.            Management's Discussion of       PERFORMANCE
                       Financial Performance

         6.            Capital Stock and Other          SUMMARY
                       Securities                       DIVIDENDS AND TAXES
                                                        PURCHASE OF SHARES
                                                        CAPITAL STRUCTURE

         7.            Purchase of Securities Being     SUMMARY
                       Offered                          INVESTMENT MANAGER AND UNDERWRITER
                                                        NET ASSET VALUE
                                                        PURCHASE OF SHARES
                                                        SPECIAL FEATURES
                                                        SUPPLEMENT TO PROSPECTUS

         8.            Redemption or Repurchase         SUMMARY
                                                        REDEMPTION OR REPURCHASE OF SHARES

         9.            Pending Legal Proceedings        INAPPLICABLE


                            Cross Reference - Page 1
<PAGE>

                               KEMPER HORIZON FUND
                                   (continued)

                       Between Items Enumerated in Part B
              of Form N-1A and Statement of Additional Information
              ----------------------------------------------------

PART B
- ------
                                                         Caption in Statement of
   Item Number        Item Caption                       Additional Information
   -----------        ------------                       ----------------------

        10.           Cover Page                         COVER PAGE

        11.           Table of Contents                  TABLE OF CONTENTS

        12.           General Information and History    INAPPLICABLE

        13.           Investment Objectives and          INVESTMENT RESTRICTIONS
                      Policies                           INVESTMENT POLICIES AND TECHNIQUES

        14.           Management of the Fund             INVESTMENT MANAGER AND UNDERWRITER
                                                         OFFICERS AND TRUSTEES

        15.           Control Persons and Principal      OFFICERS AND TRUSTEES
                      Holders of Securities

        16.           Investment Advisory and Other      INVESTMENT MANAGER AND UNDERWRITER
                      Services                           OFFICERS AND TRUSTEES

        17.           Brokerage Allocation and Other     PORTFOLIO TRANSACTIONS
                      Practices

        18.           Capital Stock and Other            SHAREHOLDER RIGHTS
                      Securities

        19.           Purchase, Redemption and           PURCHASES AND REDEMPTION OF SHARES
                      Pricing of Securities Being
                      Offered

        20.           Tax Status                         DIVIDENDS AND TAXES

        21.           Underwriters                       INVESTMENT MANAGER AND UNDERWRITER

        22.           Calculation of Performance Data    PERFORMANCE

        23.           Financial Statements               FINANCIAL STATEMENTS
</TABLE>

                            Cross Reference - Page 2
<PAGE>
                               KEMPER HORIZON FUND
                                   PORTFOLIOS
                          KEMPER HORIZON 20+ PORTFOLIO
                          KEMPER HORIZON 10+ PORTFOLIO
                           KEMPER HORIZON 5 PORTFOLIO
                            SUPPLEMENT TO PROSPECTUS
                             DATED NOVEMBER 30, 1998
                                 CLASS I SHARES
                                ----------------

The Kemper Horizon Fund consists of three investment portfolios,  Kemper Horizon
20+ Portfolio ("Horizon 20+ Portfolio"),  Kemper Horizon 10+ Portfolio ("Horizon
10+  Portfolio")  and  Kemper  Horizon  5  Portfolio   ("Horizon  5  Portfolio")
(collectively the "Portfolios"),  each currently offering four classes of shares
to provide investors with different purchasing options. These are Class A, Class
B and Class C shares, which are described in the prospectus, and Class I shares,
which are described in the prospectus as supplemented hereby.

Class  I  shares  are  available  for  purchase  exclusively  by  the  following
categories of institutional  investors:  (1) tax-exempt retirement plans (Profit
Sharing,  401(k),  Money Purchase  Pension and Defined Benefit Plans) of Scudder
Kemper  Investments,  Inc.  ("Scudder  Kemper") and its  affiliates and rollover
accounts from those plans;  (2) the  following  investment  advisory  clients of
Scudder Kemper and its investment  advisory  affiliates  that invest at least $1
million in a Fund:  unaffiliated  benefit  plans,  such as qualified  retirement
plans (other than individual  retirement  accounts and self-directed  retirement
plans);  unaffiliated  banks and insurance  companies  purchasing  for their own
accounts;  and endowment funds of  unaffiliated  non-profit  organizations;  (3)
investment-only accounts for large qualified plans, with at least $50 million in
total  plan  assets or at least  1000  participants;  (4)  trust  and  fiduciary
accounts  of trust  companies  and bank trust  departments  providing  fee based
advisory  services  that  invest at least $1 million in a Fund on behalf of each
trust; and (5) policy holders under Zurich-American Insurance Group's collateral
investment  program  investing  at  least  $200,000  in a Fund.  Class I  shares
currently  are  available  for  purchase  only from  Kemper  Distributors,  Inc.
("KDI"),  principal  underwriter  for the Funds,  and, in the case of category 4
above,  selected dealers authorized by KDI. Share certificates are not available
for Class I shares.

The primary  distinctions  among the classes of shares lie in their  initial and
contingent  deferred  sales  charge  schedules  and in their  ongoing  expenses,
including asset-based sales charges in the form of Rule 12b-1 distribution fees.
Class I shares are offered at net asset value  without an initial  sales  charge
and are not  subject  to a  contingent  deferred  sales  charge or a Rule  12b-1

<PAGE>

distribution fee. Also, there is no administrative services fee charged to Class
I shares.  As a result of the relatively lower expenses for Class I shares,  the
level of income  dividends  per share (as a percentage  of net asset value) and,
therefore,  the overall investment return,  will typically be higher for Class I
shares than for Class A, Class B and Class C shares.

The following information supplements the indicated sections of the prospectus.

SUMMARY OF EXPENSES

Shareholder Transaction Expenses (applicable to all Portfolios)

CLASS I SHARES



Maximum Sales Charge on Purchases
  (as a percentage of offering price)................................  None

Maximum Sales Charge on Reinvested Dividends.........................  None

Redemption Fees......................................................  None

Exchange Fee.........................................................  None

Deferred Sales Charge (as a percentage of redemption proceeds).......  None 



Annual Fund Operating Expenses


               HORIZON 20+      HORIZON 10+          HORIZON 5
               PORTFOLIO        PORTFOLIO            PORTFOLIO
               ---------        ---------            ---------


Management          0.58%          0.58%               0.58%
Fees

12b-1 Fees           None           None                None

Other Expenses      0.27%          0.41%               0.45%
                    -----          -----               -----
Total   
Operating
Expenses            0.85%          0.99%               1.03%
                    =====          =====               =====


EXAMPLE

You would pay the  following  expenses on a $1,000  investment,  assuming (1) 5%
annual return and (2) redemption at the end of each time period:

PORTFOLIO          1 YEAR   3 YEARS   5 YEARS  10 YEARS
- ---------          ------   -------   -------  --------

Horizon 20+           $9      $27       $47      $105

Horizon 10+          $10      $32       $55      $121

Horizon 5            $11      $33       $57      $126


<PAGE>

The purpose of the preceding table is to assist investors in  understanding  the
various  costs and  expenses  that an  investor in Class I shares of a Portfolio
will bear directly or indirectly.

The Example  assumes a 5% annual rate of return  pursuant to requirements of the
Securities  and Exchange  Commission.  This  hypothetical  rate of return is not
intended to be representative of past or future  performance of any Portfolio of
the Fund. THE EXAMPLE SHOULD NOT BE CONSIDERED TO BE A REPRESENTATION OF PAST OR
FUTURE EXPENSES. ACTUAL EXPENSES MAY BE GREATER OR LESSER THAN THOSE SHOWN.

FINANCIAL HIGHLIGHTS

                          KEMPER HORIZON 20+ PORTFOLIO
- --------------------------------------------------------------------------

                                   Year ended July 31,        April 8 to
                                   1998          1997       July 31, 1996
- --------------------------------------------------------------------------
PER SHARE OPERATING                
PERFORMANCE:

Net asset value, beginning of
period                             $12.96           9.73            10.03
- --------------------------------------------------------------------------
Income from investment
operations:

Net investment income              0.17          0.19             0.07
- --------------------------------------------------------------------------
Net realized and unrealized 
  gain (loss)                      1.09          3.17            (0.37)
- --------------------------------------------------------------------------
Total from investment
  operations                       1.26          3.36            (0.30)
- --------------------------------------------------------------------------
Less Dividends                     
  Distribution from net
  investment income                0.12          0.13               --
- --------------------------------------------------------------------------
  Distribution from net
  realized gain                    0.48            --               --
- --------------------------------------------------------------------------
Total Dividends                    0.60          0.13               --
- --------------------------------------------------------------------------
Net asset value, end of period   $13.62         12.96             9.73
- --------------------------------------------------------------------------
TOTAL RETURN (NOT
ANNUALIZED):                      10.29%        34.84            (2.99)
- --------------------------------------------------------------------------
RATIOS TO AVERAGE NET
ASSETS (ANNUALIZED):
Expenses                           0.85%        1.04             0.73
- --------------------------------------------------------------------------
Net investment income              1.64%        1.73             2.32
- --------------------------------------------------------------------------

<PAGE>


                          KEMPER HORIZON 10+ PORTFOLIO
- --------------------------------------------------------------------------

                                   Year ended July 31,        April 8 to
                                   1998          1997       July 31, 1996
- --------------------------------------------------------------------------

PER SHARE OPERATING
PERFORMANCE:
Net asset value,
  beginning of period              $11.97        9.57            9.83
- --------------------------------------------------------------------------
Income from investment
operations:
Net investment income                0.35        0.26            0.09
- --------------------------------------------------------------------------
Net realized and unrealized
gain (loss)                          0.84        2.40           (0.26)
- --------------------------------------------------------------------------
Total from investment
operations                           1.19        2.66           (0.17)
- --------------------------------------------------------------------------
Less Dividends 
  Distribution from net
  investment income                  0.29        0.26            0.09
- --------------------------------------------------------------------------
  Distribution from net
  realized gain                      0.41          --              --
- --------------------------------------------------------------------------
Total Dividends                      0.70        0.26            0.09
- --------------------------------------------------------------------------
Net asset value,
end of period                      $12.46       11.97            9.57
- --------------------------------------------------------------------------
TOTAL RETURN
(NOT ANNUALIZED):                   10.47%      28.09           (1.74)
- --------------------------------------------------------------------------
RATIOS TO AVERAGE
NET ASSETS
(ANNUALIZED):
Expenses                            0.99%        1.06            0.73
- --------------------------------------------------------------------------
Net investment
income                              2.75%          2.81            3.21
- --------------------------------------------------------------------------
<PAGE>


                           KEMPER HORIZON 5 PORTFOLIO
- --------------------------------------------------------------------------

                                   Year ended July 31,        April 8 to
                                   1998          1997       July 31, 1996
- --------------------------------------------------------------------------

PER SHARE OPERATING
PERFORMANCE:
Net asset value, beginning
  of period                      $11.06          9.58            9.69
- --------------------------------------------------------------------------
Income from investment
operations:

Net investment income              0.41          0.32            0.08
- --------------------------------------------------------------------------
Net realized and unrealized
gain (loss)                        0.47          1.49           (0.11)
- --------------------------------------------------------------------------
Total from investment
operations                         0.88          1.81           (0.03)
- --------------------------------------------------------------------------
Less Dividends
  Distribution from net
  investment income                0.39          0.33            0.08
- --------------------------------------------------------------------------
  Distribution from net
  realized gain                    0.27           --               --
- --------------------------------------------------------------------------
Total Dividends                   0.66          0.33            0.08
- --------------------------------------------------------------------------
Net asset value, end of
  period                        $11.28         11.06            9.58
- --------------------------------------------------------------------------
TOTAL RETURN (NOT
ANNUALIZED):                     8.29%         19.27           (0.31)
- --------------------------------------------------------------------------
RATIOS TO AVERAGE
NET ASSETS
(ANNUALIZED):
Expenses                         1.03%          1.20            0.73
- --------------------------------------------------------------------------
Net investment
income                           3.89%          3.61            4.11
- --------------------------------------------------------------------------

NOTES TO ALL PORTFOLIOS:  Per share data for the period ended July 31, 1996, was
determined based on average shares outstanding. For the fiscal period ended July
31, 1996, the investment manager agreed to temporarily reduce its management fee
and absorb  certain  operating  expenses  of the  Portfolios.  If these  expense
waivers had not been in effect,  the expense ratio would have increased by 0.06%
of average  net assets for  Horizon  20+,  0.04% for  Horizon  10+ and 0.05% for
Horizon 5. There would have been a corresponding  decrease in the net investment
income ratio for the period. The waivers were discontinued on August 1, 1996.


<PAGE>

SPECIAL FEATURES

Shareholders  of a Portfolio's  Class I shares may exchange their shares for (i)
shares of Zurich Money  Funds--Zurich  Money Market Fund if the  shareholders of
Class I shares have purchased shares because they are participants in tax-exempt
retirement plans of Scudder Kemper and its affiliates and (ii) Class I shares of
any other "Kemper Mutual Fund" listed under "Special Features-- Class A Shares--
Combined Purchases" in the prospectus. Conversely,  shareholders of Zurich Money
Funds--Zurich  Money  Market Fund who have  purchased  shares  because  they are
participants in tax-exempt retirement plans of Scudder Kemper and its affiliates
may  exchange  their shares for Class I shares of "Kemper  Mutual  Funds" to the
extent that they are available through their plan. Exchanges will be made at the
relative  net  asset  values  of  the  shares.  Exchanges  are  subject  to  the
limitations  set forth in the  prospectus  under  "Special  Features--  Exchange
Privilege-- General."

November 30, 1998
KHF-II

<PAGE>
                                                                       LONG-TERM
                                                                       INVESTING
                                                                            IN A
                                                                      SHORT-TERM
                                                                       WORLD(SM)

     November 30, 1998
Prospectus

                                                   KEMPER ASSET ALLOCATION FUNDS

                                                    Kemper Horizon 20+ Portfolio

                                                    Kemper Horizon 10+ Portfolio

                                                      Kemper Horizon 5 Portfolio

                                                             [KEMPER FUNDS LOGO]


                                                             [LOGO] KEMPER FUNDS
<PAGE>

                                                             [LOGO] KEMPER FUNDS

   
Kemper Horizon Fund

PROSPECTUS November 30, 1998
    

KEMPER HORIZON FUND
222 South Riverside Plaza, Chicago, Illinois 60606
1-800-621-1048

   
This prospectus contains information about the Fund that you should know before
investing and should be retained for future reference. A Statement of Additional
Information dated November 30, 1998, which is incorporated herein by reference,
has been filed with the Securities and Exchange Commission (the "SEC") and is
available along with other related materials on the SEC's Internet web site
(http://www.sec.gov). It may also be obtained upon request without charge from
the Fund at the address or telephone number on this cover or the firm from which
this prospectus was obtained.
    

Kemper Horizon Fund (the "Fund") is designed for investors with different
investment horizons and offers a choice of three investment portfolios.

Kemper Horizon 20+ Portfolio -- seeks growth of capital, with income as a
secondary objective. Under normal conditions, this Portfolio maintains an asset
allocation of approximately 80% equity securities and 20% fixed income
securities.

Kemper Horizon 10+ Portfolio -- seeks a balance between growth of capital and
income, consistent with moderate risk. Under normal conditions, this Portfolio
maintains an asset allocation of approximately 60% equity securities and 40%
fixed income securities.

Kemper Horizon 5 Portfolio -- seeks income consistent with preservation of
capital, with growth as a secondary objective. Under normal conditions, this
Portfolio maintains an asset allocation of approximately 40% equity securities
and 60% fixed income securities. There is no assurance that the objectives of
the Fund's portfolios will be achieved.

The Fund's shares are not deposits or obligations of, or guaranteed or endorsed
by, any bank, nor are they federally insured by the Federal Deposit Insurance
Corporation, the Federal Reserve Board or any other agency. Investment in the
Fund's shares involves risk, including the possible loss of principal.

THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
EXCHANGE COMMISSION NOR HAS THE SECURITIES AND EXCHANGE COMMISSION PASSED UPON
THE ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY
IS A CRIMINAL OFFENSE.


                                                                               1
<PAGE>

   
Table of Contents
- ----------------------------------------------------------------------------
Summary                                                                 2
- ----------------------------------------------------------------------------
Summary of Expenses                                                     4
- ----------------------------------------------------------------------------
Financial  Highlights                                                   7
- ----------------------------------------------------------------------------
Investment Objectives, Policies and Risk Factors                       12
- ----------------------------------------------------------------------------
Investment Manager and Underwriter                                     29
- ----------------------------------------------------------------------------
Dividends and Taxes                                                    34
- ----------------------------------------------------------------------------
Net Asset Value                                                        36
- ----------------------------------------------------------------------------
Purchase of Shares                                                     37
- ----------------------------------------------------------------------------
Redemption or Repurchase of Shares                                     45
- ----------------------------------------------------------------------------
Special Features                                                       52
- ----------------------------------------------------------------------------
Performance                                                            57
- ----------------------------------------------------------------------------
Capital Structure                                                      59
- ----------------------------------------------------------------------------
    
<PAGE>

SUMMARY

Investment Objectives. The Kemper Horizon Fund (the "Fund") is an open-end,
diversified management investment company. The Fund consists of three investment
portfolios ("Portfolios"), designed for investors with different investment
horizons. The three Portfolios are as follows:

KEMPER HORIZON 20+ PORTFOLIO ("Horizon 20+ Portfolio"). The Horizon 20+
Portfolio seeks growth of capital, with income as a secondary objective. Under
normal conditions, the Horizon 20+ Portfolio expects to maintain an asset
allocation of approximately 80% equity securities and 20% fixed income
securities.

KEMPER HORIZON 10+ PORTFOLIO ("Horizon 10+ Portfolio"). The Horizon 10+
Portfolio seeks a balance between growth of capital and income, consistent with
moderate risk. Under normal conditions, the Horizon 10+ Portfolio expects to
maintain an asset allocation of approximately 60% equity securities and 40%
fixed income securities.

KEMPER HORIZON 5 PORTFOLIO ("Horizon 5 Portfolio"). The Horizon 5 Portfolio
seeks income consistent with preservation of capital, with growth of capital as
a secondary objective. Under normal conditions, the Horizon 5 Portfolio expects
to maintain an asset allocation of approximately 40% equity securities and 60%
fixed income securities.

The Portfolios may purchase and write put and call options, engage in financial
futures transactions, invest in other derivatives, invest in collateralized
obligations, invest in foreign securities, engage in related foreign currency
transactions, lend portfolio securities and engage in delayed delivery
transactions. See "Investment Objectives, Policies and Risk Factors."

Risk Factors. There is no assurance that the investment objective of any
Portfolio will be achieved and investment in each Portfolio includes risks that
vary in kind and degree depending upon the investment objective and policies of
that Portfolio. The returns and net asset value of each Portfolio will
fluctuate. Foreign investments by the Portfolios involve risk and opportunity
considerations not typically associated with investing in U.S. companies. The
U.S. Dollar value of a foreign security tends to decrease when the value of the
U.S. Dollar rises against the foreign currency in which the security is
denominated and tends to increase when the value of the U.S. Dollar falls
against such currency. Thus, the U.S. Dollar value of foreign securities in a
Portfolio, and the Portfolio's net asset value, may change in response to
changes in currency exchange rates even though the value of the foreign
securities in local currency terms may not have changed. While a Portfolio's
investments in foreign securities will principally be in developed countries,
the Portfolio may invest a portion of its assets in developing or "emerging"
markets, which involve exposure to economic structures that are generally less
diverse and mature than in the United States, and to political systems that may
be less stable. A limited portion of the assets of each Portfolio may be
invested in lower rated or unrated high yield bonds, which entail greater risk
of loss of principal and


2
<PAGE>

   
interest than higher rated or unrated high quality fixed income securities.
There are special risks associated with options, financial futures and foreign
currency transactions and other derivatives and there is no assurance that use
of those investment techniques will be successful. See "Investment Objectives,
Policies and Risk Factors."
    

Purchases and Redemptions. The Fund provides investors with the option of
purchasing shares in the following ways:

   
Class A Shares ..............  Offered at net asset value plus a maximum sales
                               charge of 5.75% of the offering price. Reduced
                               sales charges apply to purchases of $50,000 or
                               more. Class A shares purchased at net asset value
                               under the Large Order NAV Purchase Privilege may
                               be subject to a 1% contingent deferred sales
                               charge if redeemed within one year of purchase
                               and a 0.50% contingent deferred sales charge if
                               redeemed during the second year of purchase.
    

Class B Shares ..............  Offered at net asset value, subject to a Rule
                               12b-1 distribution fee and a contingent deferred
                               sales charge that declines from 4% to zero on
                               certain redemptions made within six years of
                               purchase. Class B shares automatically convert
                               into Class A shares (which have lower ongoing
                               expenses) six years after purchase.

Class C Shares ..............  Offered at net asset value without an initial
                               sales charge, but subject to a Rule 12b-1
                               distribution fee and a 1% contingent deferred
                               sales charge on redemptions made within one year
                               of purchase. Class C shares do not convert into
                               another class.

Shares of all classes of a Portfolio represent interests in the same pool of
investments. The minimum initial investment is $1,000 and investments thereafter
must be at least $100. Shares are redeemable at net asset value, which may be
more or less than original cost, subject to any applicable contingent deferred
sales charge. See "Purchase of Shares" and "Redemption or Repurchase of Shares."

   
Investment Manager and Underwriter. Scudder Kemper Investments, Inc. ("Scudder
Kemper"), serves as investment manager for the Fund. Scudder Kemper is paid an
investment management fee by each Portfolio based upon average daily net assets
of that Portfolio at an annual rate ranging from 0.58% to 0.42%. Kemper
Distributors, Inc. ("KDI"), a wholly-owned subsidiary of Scudder Kemper, is
principal underwriter and administrator for the Fund. Each Portfolio has adopted
a plan whereby for Class B shares and Class C shares, KDI receives a Rule 12b-1
distribution fee at the annual rate of 0.75% of average daily net assets. KDI
also receives the amount of any contingent deferred sales charges paid on the
redemption of shares. Administrative services are provided to shareholders under
an administrative services agreement with
    


                                                                               3
<PAGE>

   
KDI for which KDI receives an administrative services fee at the annual rate of
up to 0.25% of average daily net assets of Class A, B and C shares of each
Portfolio, which KDI, in turn, pays to various broker-dealer firms and other
service or administrative firms. See "Investment Manager and Underwriter."
    

Dividends. Each Portfolio normally distributes dividends of net investment
income as follows: annually for the Horizon 20+ Portfolio; semi-annually for
Horizon 10+ Portfolio; and quarterly for the Horizon 5 Portfolio. Each Portfolio
distributes any net realized short-term and long-term capital gains at least
annually. Income and capital gain dividends of a Portfolio are automatically
reinvested in additional shares of that Portfolio, without a sales charge,
unless the shareholder makes a different election. See "Dividends and Taxes."

SUMMARY OF EXPENSES

Shareholder Transaction Expenses
(applicable to all Portfolios)(1)      Class A          Class B         Class C
                                       -------          -------         -------

Maximum Sales Charge on
Purchases (as a percentage of
offering price) .....................   5.75% (2)         None           None

Maximum Sales Charge on
Reinvested Dividends ................    None             None           None

Redemption Fees .....................    None             None           None

Exchange Fee ........................    None             None           None

Deferred Sales Charge (as a
percentage of redemption proceeds) ..    None (3)  4% during the       1% during
                                                   first year, 3%      the first
                                                   during the second     year
                                                   year and third
                                                   years, 2% during
                                                   the fourth and
                                                   fifth years and
                                                   1% in the sixth
                                                   year

- -----------
(1)  Investment dealers and other firms may independently charge additional fees
     for shareholder transactions or for advisory services; please see their
     materials for details. The table does not include the $9.00 quarterly small
     account fee. See "Redemption or Repurchase of Shares."

(2)  Reduced sales charges apply to purchases of $50,000 or more. See "Purchase
     of Shares -- Initial Sales Charge Alternative -- Class A Shares."

   
(3)  The redemption of Class A shares purchased at net asset value under the
     Large Order NAV Purchase Privilege may be subject to a contingent deferred
     sales charge of 1% the first year and 0.50% the second year. See "Purchase
     of Shares -- Initial Sales Charge Alternative -- Class A Shares."
    


4
<PAGE>

   
Annual Fund Operating Expenses
(as a percentage of average daily net assets)

The expenses shown are for the most recently completed fiscal year ended July
31, 1998:

Class A Shares                          Horizon 20+    Horizon 10+    Horizon 5
- --------------                          -----------    -----------    ---------

Management Fees ....................      0.58%          0.58%         0.58%
12b-1 Fees .........................      None           None          None
Other Expenses .....................      1.42%          0.90%         1.06%
                                          -----          -----         -----
Total Operating Expenses ...........      2.00%          1.48%         1.64%
                                          =====          =====         =====

Class B Shares                          Horizon 20+    Horizon 10+    Horizon 5
- --------------                          -----------    -----------    ---------

Management Fees ....................      0.58%          0.58%         0.58%
12b-1 Fees (4) .....................      0.75%          0.75%         0.75%
Other Expenses .....................      1.46%          1.03%         0.84%
                                          -----          -----         -----
Total Operating Expenses ...........      2.79%          2.36%         2.17%
                                          =====          =====         =====

Class C Shares                          Horizon 20+    Horizon 10+    Horizon 5
- --------------                          -----------    -----------    ---------

Management Fees ....................      0.58%          0.58%         0.58%
12b-1 Fees (5) .....................      0.75%          0.75%         0.75%
Other Expenses .....................      1.70%          1.06%         0.85%
                                          -----          -----         -----
Total Operating Expenses ...........      3.03%          2.39%         2.18%
                                          =====          =====         =====

- -----------
(4)  Long-term shareholders may pay more than the economic equivalent of the
     maximum initial sales charges permitted by the National Association of
     Securities Dealers, although KDI believes that it is unlikely because of
     the automatic conversion feature described under "Purchase of Shares --
     Deferred Sales Charge Alternative -- Class B Shares."
    

(5)  As a result of the accrual of 12b-1 fees, long-term shareholders may pay
     more than the economic equivalent of the maximum initial sales charges
     permitted by the National Association of Securities Dealers.


                                                                               5
<PAGE>

   
Example

Class A Shares (6)              Portfolio     1 Year  3 Years  5 Years  10 Years
- ------------------              ---------     ------  -------  -------  --------

You would pay the following     Horizon 20+    $77      $117    $159      $277
expenses on a $1,000
investment, assuming (1) 5%     Horizon 10+    $72      $102    $134      $224
annual return and (2)
redemption at the end of each   Horizon 5      $73      $106    $142      $241
time period:

Class B Shares (7)
- ------------------

You would pay the following     Horizon 20+    $68      $117    $167      $276
expenses on a $1,000
investment, assuming (1) 5%     Horizon 10+    $64      $104    $146      $228
annual return and (2)
redemption at the end of each   Horizon 5      $62      $98     $136      $225
time period:

You would pay the following     Horizon 20+    $28      $87     $147      $276
expenses on the same
investment, assuming no         Horizon 10+    $24      $74     $126      $228
redemption:
                                Horizon 5      $22      $68     $116      $225

Class C Shares (8)
- ------------------

You would pay the following      Horizon 20+    $41      $94     $159      $335
expenses on a $1,000
investment, assuming (1) 5%      Horizon 10+    $34      $75     $128      $273
annual return and (2)
redemption at the end of each    Horizon 5      $32      $68     $117      $251
time period:

You would pay the following      Horizon 20+    $31      $94     $159      $335
expenses on the same
investment, assuming no          Horizon 10+    $24      $75     $128      $273
redemption:
                                 Horizon 5      $22      $68     $117      $251

- -----------
(6)  Assumes deduction of the 5.75% initial sales charge at the time of purchase
     and no deduction of a contingent deferred sales charge at the time of
     redemption.

(7)  Assumes conversion to Class A shares six years after purchase. The
     contingent deferred sales charge was applied as follows: 1 year (4%), 3
     years (3%), 5 years (2%) and 10 years (0%). See "Redemption or Repurchase
     of Shares -- Contingent Deferred Sales Charge -- Class B Shares" for more
     information regarding the calculation of the contingent deferred sales
     charge.

(8)  The contingent deferred sales charge was applied as follows: 1 year (1%), 3
     years (0%), 5 years (0%) and 10 years (0%). See "Redemption or Repurchase
     of Shares -- Contingent Deferred Sales Charge -- Class C Shares."
    

The purpose of the preceding table is to assist investors in understanding the
various costs and expenses that an investor in the Fund will bear directly or
indirectly. See "Investment Manager and Underwriter" for more information.

The Example assumes a 5% annual rate of return pursuant to requirements of the
Securities and Exchange Commission. This hypothetical rate of return is not
intended to be representative of past or future performance of any Portfolio.
The Example should not be considered to be a representation of past or future
expenses. Actual expenses may be greater or less than those shown.


6
<PAGE>

FINANCIAL HIGHLIGHTS

   
The tables below show financial information expressed in terms of one share
outstanding throughout the period. The information in the tables is covered by
the report of the Fund's independent auditors. The report is contained in the
Fund's Registration Statement and is available from the Fund. The financial
statements contained in the Fund's 1998 Annual Report to Shareholders are
incorporated herein by reference and may be obtained by writing or calling the
Fund.
    

KEMPER HORIZON 20+ PORTFOLIO

   
<TABLE>
<CAPTION>
                                                                             December
                                                                             29, 1995
                                               Year Ended    Year Ended     to July 31,
CLASS A SHARES                                July 31, 1998  July 31, 1997     1996
- --------------                                -------------  -------------     ----
<S>                                              <C>            <C>            <C>
Per share operating performance:
Net asset value, beginning of period             $12.89          9.72          9.50
- ----------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                             .04           .12           .18
- ----------------------------------------------------------------------------------------
  Net realized and unrealized gain                 1.07          3.15           .04
- ----------------------------------------------------------------------------------------
Total from investment operations                   1.11          3.27           .22
- ----------------------------------------------------------------------------------------
Less Dividends
  Distribution from net investment income           .04           .10            --
- ----------------------------------------------------------------------------------------
  Distribution from net realized gain               .48            --            --
- ----------------------------------------------------------------------------------------
Total dividends                                     .52           .10            --
- ----------------------------------------------------------------------------------------
Net asset value, end of period                   $13.48         12.89          9.72
- ----------------------------------------------------------------------------------------
Total return (not annualized):                     9.04%        33.90          2.32
- ----------------------------------------------------------------------------------------
Ratios to average net assets (annualized):
Expenses                                           2.00%         1.69          1.48
- ----------------------------------------------------------------------------------------
Net investment income                               .49%         1.08          1.51
- ----------------------------------------------------------------------------------------
</TABLE>
    


                                                                               7
<PAGE>

   
<TABLE>
<CAPTION>
                              Class B                      Class C
                                            December                      December
                         Year       Year    29, 1995    Year      Year    29, 1995
                        Ended      Ended       to      Ended     Ended       to
                       July 31,   July 31,  July 31,  July 31,  July 31,  July 31,
CLASS B & C SHARES       1998       1997      1996      1998      1997      1996
                         ----       ----      ----      ----      ----      ----
<S>                      <C>          <C>      <C>      <C>        <C>      <C>
Per share operating
  performance:
Net asset value,
beginning of period      $12.79       9.65     9.50     12.80      9.67     9.50
- ----------------------------------------------------------------------------------
Income from investment operations:
  Net investment
  income (loss)            (.03)       .03      .11      (.05)      .04      .13
- ----------------------------------------------------------------------------------
  Net realized and
  unrealized gain          1.00       3.15      .04      1.02      3.13      .04
- ----------------------------------------------------------------------------------
Total from investment
  operations                .97       3.18      .15       .97      3.17      .17
- ----------------------------------------------------------------------------------
Less dividends
  Distribution from net
  investment income          --        .04       --        --       .04       --
- ----------------------------------------------------------------------------------
  Distribution from
  net realized gain         .48         --       --       .48        --       --
- ----------------------------------------------------------------------------------
Total dividends             .48        .04       --       .48       .04       --
- ----------------------------------------------------------------------------------
Net asset value, end
  of period              $13.28      12.79     9.65     13.29     12.80     9.67
- ----------------------------------------------------------------------------------
Total return
  (not annualized):        7.98%     33.01     1.58      7.97     32.80     1.79
- ----------------------------------------------------------------------------------
Ratios to average net
  assets (annualized):
Expenses                   2.79%      2.47     2.26      3.03      2.48     2.23
- ----------------------------------------------------------------------------------
Net investment
  income                   (.30)%      .30      .73      (.54)      .29      .76
- ----------------------------------------------------------------------------------

<CAPTION>
                                        Year Ended                  December 29,
                                         July 31,     Year Ended       1995 to
ALL CLASSES                                1998      July 31, 1997  July 31, 1996
                                           ----      -------------  -------------
<S>                                      <C>             <C>           <C>
Supplemental Data:
Net assets at end of period (in
thousands)                               $110,076        62,673        18,251
- -----------------------------------------------------------------------------------
Portfolio turnover rate (annualized)           44%          130           122
- -----------------------------------------------------------------------------------
</TABLE>
    


8
<PAGE>

KEMPER HORIZON 10+ PORTFOLIO

   
<TABLE>
<CAPTION>
                                                                      December 29,
                                          Year Ended    Year Ended      1995 to
CLASS A SHARES                           July 31, 1998 July 31, 1997 July 31, 1996
                                         ------------- ------------- -------------
<S>                                        <C>            <C>            <C>
Per share operating performance:
Net asset value, beginning of period       $12.01          9.60          9.50
- ------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                       .24           .25           .20
- ------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)     .87          2.36         (.04)
- ------------------------------------------------------------------------------------
Total from investment operations             1.11          2.61           .16
- ------------------------------------------------------------------------------------
Less dividends
  Distribution from net investment income     .22           .20           .06
- ------------------------------------------------------------------------------------
  Distribution from net realized gain         .41            --            --
- ------------------------------------------------------------------------------------
Total dividends                               .63           .20           .06
- ------------------------------------------------------------------------------------
Net asset value, end of period             $12.49         12.01          9.60
- ------------------------------------------------------------------------------------
Total return (not annualized):               9.75%        27.43          1.70
- ------------------------------------------------------------------------------------
Ratios to average net assets (annualized):
Expenses                                     1.48%         1.51          1.48
- ------------------------------------------------------------------------------------
Net investment income                        2.26%         2.36          2.40
- ------------------------------------------------------------------------------------

<CAPTION>
                                Class B                      Class C
                                               December                      December
                            Year       Year    29, 1995    Year      Year    29, 1995
                           Ended      Ended       to      Ended     Ended       to
                          July 31,   July 31,  July 31,  July 31,  July 31,  July 31,
CLASS B & C SHARES          1998       1997      1996      1998      1997      1996
                            ----       -----     ----      ----      ----      ----
<S>                        <C>          <C>      <C>      <C>       <C>       <C>
Per share operating
  performance:
Net asset value,
  beginning of period      $12.00       9.60     9.50     11.98      9.60     9.50
- -------------------------------------------------------------------------------------
Income from investment operations:

  Net investment income       .15        .16      .17       .14       .14      .17
- -------------------------------------------------------------------------------------
  Net realized and
  unrealized gain (loss)      .86       2.35    (.04)       .87      2.34     (.04)
- -------------------------------------------------------------------------------------
Total from investment
  operations                 1.01       2.51      .13      1.01      2.48      .13
- -------------------------------------------------------------------------------------
Less dividends
  Distribution from
  net investment income       .12        .11      .03       .14       .10      .03
- -------------------------------------------------------------------------------------
  Distribution from
  net realized gain           .41         --       --       .41        --       --
- -------------------------------------------------------------------------------------
Total dividends               .53        .11      .03       .55       .10      .03
- -------------------------------------------------------------------------------------
Net asset value, end
  of period                $12.48      12.00     9.60     12.44     11.98     9.60
- -------------------------------------------------------------------------------------
Total return
  (not annualized):          8.85%     26.25     1.38      8.83     25.97     1.39
- -------------------------------------------------------------------------------------
Ratios to average net
  assets (annualized):
Expenses                     2.36%      2.36     2.26      2.39      2.61     2.23
- -------------------------------------------------------------------------------------
Net investment income        1.38%      1.51     1.62      1.35      1.26     1.65
- -------------------------------------------------------------------------------------
</TABLE>
    


                                                                               9
<PAGE>

                                                                  December 29,
                                 Year Ended      Year Ended         1995 to
ALL CLASSES                     July 31, 1998   July 31, 1997    July 31, 1996
                                -------------   -------------    -------------
Supplemental Data:
- --------------------------------------------------------------------------------
Net assets at end of period
  (in thousands)                 $111,687          63,400          18,912
- --------------------------------------------------------------------------------
Portfolio turnover rate
  (annualized)                         37%            126              87
- --------------------------------------------------------------------------------

KEMPER HORIZON 5 PORTFOLIO

   
<TABLE>
<CAPTION>
                                                                     December 29,
                                         Year Ended    Year Ended      1995 to
CLASS A SHARES                          July 31, 1998 July 31, 1997 July 31, 1996
                                        ------------- ------------- -------------
<S>                                       <C>            <C>            <C>
Per share operating performance:
Net asset value, beginning of period      $11.06          9.57          9.50
- -----------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                      .35           .34           .25
- -----------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)    .47          1.45          (.07)
- -----------------------------------------------------------------------------------
Total from investment operations             .82          1.79           .18
- -----------------------------------------------------------------------------------
Less dividends
  Distribution from net investment income    .35           .30           .11
- -----------------------------------------------------------------------------------
  Distribution from net realized gain        .27            --            --
- -----------------------------------------------------------------------------------
Total dividends                              .62           .30           .11
- -----------------------------------------------------------------------------------
Net asset value, end of period            $11.26         11.06          9.57
- -----------------------------------------------------------------------------------
Total return (not annualized):              7.74%        19.02          1.84
- -----------------------------------------------------------------------------------
Ratios to average net assets (annualized):
Expenses                                    1.64%         1.51          1.48
- -----------------------------------------------------------------------------------
Net investment income                       3.28%         3.30          3.20
- -----------------------------------------------------------------------------------
</TABLE>
    


10
<PAGE>

   
<TABLE>
<CAPTION>
                                Class B                      Class C
                                               December                       December
                            Year       Year    29, 1995    Year      Year     29, 1995
                           Ended      Ended       to       Ended     Ended       to
                          July 31,   July 31,  July 31,   July 31,  July 31,  July 31,
CLASS B & C SHARES          1998       1997      1996      1998       1997      1996
                            ----       ----      ----      ----       ----      ----
<S>                      <C>         <C>       <C>      <C>       <C>       <C>
Per share operating performance:
Net asset value,
  beginning of period    $11.06       9.57     9.50      11.07     9.57      9.50
- -----------------------------------------------------------------------------------
Income from investment operations:
  Net investment
  income                    .30        .27      .21        .28      .28       .21
- -----------------------------------------------------------------------------------
  Net realized and
  unrealized gain (loss)    .47       1.44     (.07)       .47     1.43      (.07)
- -----------------------------------------------------------------------------------
Total from investment
  operations                .77       1.71      .14        .75     1.71       .14
- -----------------------------------------------------------------------------------
Less dividends
  Distribution from net
  investment income         .28        .22      .07        .28      .21       .07
- -----------------------------------------------------------------------------------
  Distribution from
  net realized gain         .27         --       --        .27       --        --
- -----------------------------------------------------------------------------------
Total dividends             .55        .22      .07        .55      .21       .07
- -----------------------------------------------------------------------------------
Net asset value, end
  of period              $11.28      11.06     9.57      11.27    11.07      9.57
- -----------------------------------------------------------------------------------
Total return
  (not annualized):        7.27%     18.15     1.44       7.10    18.13      1.45
- -----------------------------------------------------------------------------------
Ratios to average net
  assets (annualized):
Expenses                   2.17%      2.15     2.26       2.18     2.16      2.23
- -----------------------------------------------------------------------------------
Net investment
  income                   2.75%      2.66     2.42       2.74     2.65      2.45
- -----------------------------------------------------------------------------------
</TABLE>

                             Year Ended       Year Ended      December 29, 1995
ALL CLASSES                July 31, 1998     July 31, 1997     to July 31, 1996
                           -------------     -------------     ----------------
Supplemental Data:
Net assets at end of
  period (in thousands)       $55,335          $30,700              10,831
- --------------------------------------------------------------------------------
Portfolio turnover rate
  (annualized)                    43%              150                  57
- --------------------------------------------------------------------------------

Notes to all Portfolios: Total return does not reflect the effect of any sales
charges. Per share data for the period ended July 31, 1996 was determined based
on average shares outstanding. For the fiscal period ended July 31, 1996, the
investment manager agreed to temporarily reduce its management fee and absorb
certain operating expenses of the Portfolios. If these expense waivers had not
been in effect, the expense ratio of each share class would have increased by
0.06% of average net assets for Horizon 20+, 0.04% for Horizon 10+ and 0.05% for
Horizon 5. There would have been a corresponding decrease in the net investment
income ratio for the period and total return would have also decreased. The
waivers were discontinued on August 1, 1996.
    


                                                                              11
<PAGE>

INVESTMENT OBJECTIVES, POLICIES AND RISK FACTORS

The Kemper Horizon Fund (the "Fund") consists of three investment portfolios
("Portfolios"), designed for investors with different investment horizons.
Investors are encouraged to choose the appropriate Portfolio based upon their
evaluation of their individual circumstances, including the anticipated timing
of major investment goals, such as sending a child to college, retirement or
purchasing a home, as well as their individual risk tolerance and investment
objective. As investors' horizons change, or as their investment goals change,
they are encouraged to re-evaluate their Portfolio choices to determine whether
they should move all or a portion of their investment to a different Portfolio
with a more appropriate objective and asset mix. The investment horizon of each
Portfolio should not be the sole factor in considering a Portfolio. Investors
should also review the investment objectives and policies of each Portfolio.

o    The Horizon 20+ Portfolio is designed for investors with approximately a
     20+ year investment horizon.

o    The Horizon 10+ Portfolio is designed for investors with approximately a
     10+ year investment horizon.

o    The Horizon 5 Portfolio is designed for investors with approximately a 5
     year investment horizon.

Through professional management and diversification, each Portfolio seeks to
control risk for its given time horizon. Each Portfolio's investment objectives
and investment policies are described below.

HORIZON 20+ PORTFOLIO. The Horizon 20+ Portfolio seeks growth of capital, with
income as a secondary objective. Under normal conditions, the Horizon 20+
Portfolio expects to maintain an asset allocation of approximately 80% equity
securities and 20% fixed income securities.

HORIZON 10+ PORTFOLIO. The Horizon 10+ Portfolio seeks a balance between growth
of capital and income, consistent with moderate risk. Under normal conditions,
the Horizon 10+ Portfolio expects to maintain an asset allocation of
approximately 60% equity securities and 40% fixed income securities.

HORIZON 5 PORTFOLIO. The Horizon 5 Portfolio seeks income consistent with
preservation of capital, with growth of capital as a secondary objective. Under
normal conditions, the Horizon 5 Portfolio expects to maintain an asset
allocation of approximately 40% equity securities and 60% fixed income
securities.

                                Horizon 20+        Horizon 10+       Horizon 5
                                  Target             Target           Target
                                Allocation         Allocation        Allocation
                                ----------         ----------        ----------

Equities .................          80%                60%              40%
Fixed Income .............          20%                40%              60%


12
<PAGE>

Although each Portfolio has a target asset allocation of equity and fixed income
securities, the Fund's investment manager may adjust each Portfolio's asset mix
somewhat based upon cash flow, market conditions and an evaluation of the
anticipated returns and risk for various asset classes. For example, if equities
are considered to have greater appreciation potential relative to fixed income
securities during a given period, a Portfolio's percentage weighting of equities
may be increased. Allocating assets permits the Fund's investment manager to
seek optimum performance for each Portfolio consistent with its investment
objective and investment horizon. Allocation decisions are normally based upon
long-term considerations and it is expected that, over the long-term, the target
allocation percentages will be closely approximated.

When the investment manager determines that adverse market or economic
conditions exist and considers a temporary defensive position advisable, each
Portfolio may invest without limitation in high-grade debt securities,
securities issued or guaranteed by the U.S. Government or its agencies or
instrumentalities, and high quality money market instruments, including
repurchase agreements, or retain cash or cash equivalents. Each Portfolio may
also purchase and write options, engage in financial futures transactions,
engage in foreign currency transactions, lend its portfolio securities and
engage in delayed delivery transactions.

The Portfolios do not generally make investments for short-term profits nor do
they have separate portfolio turnover policies for the equity and fixed income
asset classes. The Portfolios are not restricted in policy with regard to
portfolio turnover and will make changes in their investments from time to time
as business and economic conditions or market prices may dictate and as their
investment objectives and policies may require.

Equities. Each Portfolio's investment in equity securities will be comprised
primarily of common stocks of U.S. and foreign (or "international") companies,
but may also include preferred stocks, securities convertible into and
exchangeable for common or preferred stocks (including other preferred stocks,
warrants and rights, but not including convertible debt securities), equity
investments in partnerships, joint ventures and other forms of noncorporate
investments and warrants and rights exercisable for equity securities.
Investments will primarily include stocks of large, established companies, but
may also include stocks of smaller companies. Each Portfolio's equity securities
will be divided between U.S. and international as described below. The U.S.
equity portion of the Portfolio is divided further into two parts, one invested
in growth stocks and one invested in value stocks. As with the overall asset
allocation, the Fund's investment manager may, from time to time, adjust the
equity asset class of each Portfolio. It is expected, however, that adjustments
to the mix of the equity asset class will be more dynamic than adjustments to
the overall mix.

U.S./International. The target mix between U.S. equities and international
equities seeks the optimum balance of risk reduction and return enhancement
available from international investing. This allows investors in each Portfolio


                                                                              13
<PAGE>

the opportunity to invest a portion of their assets in a diversified portfolio
of foreign securities. Under normal conditions, each Portfolio's equity
securities will consist of approximately 70% U.S. and 30% international. In the
case of the international equity exposure, allocations may range from 20% to
40%, although the investment manager may decrease the Portfolios' exposure to
zero if investments in foreign securities appear to be relatively unattractive
in the judgment of the investment manager because of current or anticipated
adverse political or economic conditions.

Foreign securities can be attractive because they increase diversification, as
compared to a portfolio comprised solely of U.S. securities. In addition, many
foreign economies have, from time to time, grown faster than the U.S. economy,
and the returns on investments in these countries have exceeded those of similar
U.S. investments, although there can be no assurance that these conditions will
continue. International diversification allows an investor to achieve greater
portfolio diversification and to take advantage of changes in foreign economies
and market conditions. Although international investing entails special risks,
the mixture of U.S. and international stocks is designed to reduce risk, while
also increasing potential return, relative to investing in U.S. or international
stocks alone. There is no assurance, however, that any specific allocation will
reduce risk or increase returns. See "Special Risk Factors -- Foreign
Securities" below.

U.S. Growth/U.S. Value. The allocation between U.S. growth stocks and U.S. value
stocks seeks to reduce the risk, over a full market cycle, of holding growth
stocks or value stocks alone.

Growth stocks are stocks of companies whose earnings per share are expected by
the investment manager to grow faster than the market average. Growth stocks
tend to trade at higher price to earnings (P/E) ratios than the general market,
but the investment manager believes that the potential of such stocks for above
average earnings more than justifies their price. Value stocks are considered
"bargain stocks" because they are perceived as undervalued, i.e., attractively
priced in relation to their earnings potential (low P/E ratios). Value stocks
typically have dividend yields higher than the average of the companies
represented in the Standard & Poor's 500 Stock Index.

The allocation between growth and value stocks will be made by the investment
manager with the assistance of its Quantitative Research Department, which has a
proprietary model that evaluates macro-economic factors such as the strength of
the economy, interest rates and special factors concerning growth and value
stocks. Historically, the performance of growth and value stocks has tended to
be counter-cyclical, i.e., when one was in favor, the other was out of favor
relative to the equity market in general. Through the allocation process, the
investment manager will seek to weight the portfolio more heavily in the type of
stocks that are believed to present greater total return opportunities at the
time. The neutral allocation between growth and value stocks would be 50%/50%.
Although allocations in favor of growth or value normally would not be expected
to exceed 60%, the allocation to growth or value may be up


14
<PAGE>

to 75% at any time. Allocation decisions are normally based upon long-term
considerations and changes would normally be expected to be gradual. There is no
assurance that the allocation process will improve investment results.

   
In managing the growth portion of the portfolio, the investment manager
emphasizes stock selection and fundamental research in seeking to enhance
long-term performance potential. The investment manager considers a number of
quantitative and qualitative factors in considering whether to invest in a stock
including high return on equity and earnings growth rate, low level of debt,
strong balance sheet, good management and industry leadership. In managing the
value portion of the portfolio, the investment manager seeks stocks it believes
to be undervalued. The principal factor considered is P/E ratios. In selecting
among stocks with low P/E ratios, the investment manager considers other factors
such as financial strength, book to market value, earnings and dividend growth
rates, return on equity and earnings estimates.
    

FIXED INCOME. The fixed income portion of each Portfolio may be invested in a
broad variety of fixed income securities including, without limitation: (a)
obligations issued or guaranteed by the U.S. Government or by its agencies or
instrumentalities; (b) bonds, debentures, convertible debt instruments,
assignments or participation in loans, notes, commercial paper, and other debt
securities of corporations, trusts and other entities; (c) certificates of
deposit, bankers' acceptances and time deposits and (d) cash and cash
equivalents, including repurchase agreements. The fixed income portion of each
Portfolio will be comprised of U.S. Dollar denominated instruments.

   
Each portfolio attempts to limit its exposure to credit risk by imposing limits
on the quality of specific securities in the Portfolio and by maintaining a
relatively high average weighted credit quality. Credit quality refers to a
fixed income security issuer's expected ability to make all required interest
and principal payments in a timely manner. Higher rated fixed income securities
generally represent less risk than lower rated securities. Ratings published by
nationally recognized rating agencies such as Standard & Poor's ("S&P") and
Moody's Investors Service, Inc. ("Moody's") are widely accepted measures of
credit risk. The fixed income portion of each Portfolio will be invested in
securities that are rated at the time of purchase within the four highest grades
assigned by Moody's, S&P, Fitch Investors Service, Inc. ("Fitch") or Duff &
Phelps Credit Rating Co. ("Duff") or any other Nationally Recognized Statistical
Rating Organization ("NRSRO") as designated by the Securities and Exchange
Commission, or will be of comparable quality as determined by the Fund's
investment manager, provided that up to 10% of the fixed income portion of each
Portfolio may be invested in securities that are lower rated ("junk bonds"). The
top four ratings currently assigned by these organizations are as follows:
Moody's (Aaa, Aa, A or Baa), S&P (AAA, AA, A or BBB), Fitch (AAA, AA, A or BBB)
and Duff (AAA, AA, A or BBB). In addition, under normal conditions, each
Portfolio expects to maintain a relatively high average dollar-weighted credit
quality (i.e., within the top two rating categories of an NRSRO or comparable as
determined by the investment manager). Average
    


                                                                              15
<PAGE>

   
dollar-weighted credit quality is calculated by averaging the ratings of each
fixed income security held by a Portfolio with each rating "weighted" according
to the percentage of assets that it represents. Average dollar-weighted credit
quality is not a precise measure of the credit risk presented by a Portfolio of
fixed income securities. For instance, a combination of securities that are
rated AAA and securities that are rated BB that together result in an average
weighted credit quality of AA may present more risk than a group of just AA
rated securities.
    

After a Portfolio purchases a security, its quality level may fall below that at
which it was purchased (i.e., downgraded). In such instance, the Portfolio would
not be required to sell the security, but the investment manager will consider
such an event in determining whether the Portfolio should continue to hold the
security. The ratings of NRSROs represent their opinions as to the quality of
the securities that they undertake to rate. It should be emphasized, however,
that ratings, and other opinions as to quality, are relative and subjective and
are not absolute standards of quality. For a discussion of lower rated and
non-rated securities and related risks, see "Special Risk Factors -- High Yield
(High Risk) Bonds" below.

Each Portfolio attempts to limit its exposure to interest rate risk by
maintaining a relatively short duration. Interest rate risk is the risk that the
value of the fixed income securities may rise or fall as interest rates change.
Under normal conditions, the target duration of the fixed-income portion of the
Portfolio is approximately 2.5 years, although it may range from 1.5 to 3.5
years depending upon market conditions. "Duration," and the more traditional
"average dollar-weighted maturity," are measures of how a fixed income portfolio
tend to react to interest rate changes. Each fixed income security held by a
Portfolio has a stated maturity. The stated maturity is the date when the issuer
must repay the entire principal amount to an investor. A security's term to
maturity is the time remaining to maturity. A security will be treated as having
a maturity earlier than its stated maturity date if the security has technical
features (such as puts or demand features) or a variable rate of interest that,
in the judgment of the investment manager, will result in the security being
valued in the market as though it has the earlier maturity. Average
dollar-weighted maturity is calculated by averaging the terms to maturity of
each fixed income security held by the Portfolio with each maturity "weighted"
according to the percentage of assets that it represents. Unlike average
dollar-weighted maturity, duration reflects both principal and interest payments
and is designed to measure more accurately a portfolio's sensitivity to
incremental changes in interest rates than does average weighted maturity. By
way of example, if the duration of a Portfolio's fixed income securities were
two years, and interest rates decreased by 100 basis points (a basis point is
one-hundredth of one percent), the market price of that portfolio of fixed
income securities would be expected to increase by approximately 2%.

RISKS. All investments, including those in mutual funds, have risks. No
investment is suitable for all investors. None of the Portfolios is intended to
be


16
<PAGE>

a complete investment program, and there is no assurance that any Portfolio will
achieve its objective.

The risks, the returns and the net asset value of each Portfolio will vary and
fluctuate depending upon the weightings of each asset class. Historically,
equities have experienced a higher level of volatility due to market
fluctuations than fixed income securities; and equities have also provided
higher levels of return over time. The value of equities typically change in
response to general market and economic conditions and the activities and
changing circumstances of individual issues. The value of equities may decline
over short or even extended periods of time.

The value of fixed income securities typically changes in response to changes in
economic conditions, interest rates and the creditworthiness of individual
issues. In general, the value of the fixed income securities held by each
Portfolio will vary inversely with changes in interest rates. Thus, a decrease
in interest rates will generally result in an increase in value of the fixed
income securities held by each Portfolio. Conversely, during periods of rising
interest rates, the value of the fixed income securities held by each Portfolio
will generally decline. The magnitude of these fluctuations will generally be
greater for securities with longer maturities or durations. Fixed income
securities are subject to varying degrees of risk of default depending upon,
among other factors, the creditworthiness of the issuer and the ability of the
issuer to meet its obligations.

Investing in securities of smaller, less well-known companies may present
greater opportunities for capital appreciation, but may also involve greater
risks. These companies may have limited product lines, markets or financial
resources, or may depend upon a limited management group. Their securities may
trade less frequently and in limited volume. As a result, the prices of these
securities may fluctuate more than the prices of securities of larger, more
established companies.

SPECIAL RISK FACTORS -- FOREIGN SECURITIES. Each Portfolio normally invests a
portion of its assets in foreign securities that are traded principally in
securities markets outside the United States. Each Portfolio may also invest in
U.S. Dollar denominated American Depository Receipts ("ADRs"), which are bought
and sold in the United States. For purposes of the allocation between U.S. and
international securities, ADRs are viewed as U.S. securities. In connection with
its foreign securities investments, each Portfolio may, to a limited extent,
engage in foreign currency exchange, options and futures transactions as a hedge
and not for speculation. Additional information concerning foreign securities
and related techniques is contained under "Additional Investment Information"
below and "Investment Policies and Techniques" in the Statement of Additional
Information.

Foreign securities involve currency risks. The U.S. Dollar value of a foreign
security tends to decrease when the value of the U.S. Dollar rises against the
foreign currency in which the security is denominated and tends to increase when
the value of the U.S. Dollar falls against such currency. Fluctuations in


                                                                              17
<PAGE>

exchange rates may also affect the earning power and asset value of the foreign
entity issuing the security. Dividend and interest payments may be repatriated
based upon the exchange rate at the time of disbursement or payment, and
restrictions on capital flows may be imposed. Losses and other expenses may be
incurred in converting between various currencies.

Foreign securities may be subject to foreign government taxes that reduce their
attractiveness. Other risks of investing in such securities include political or
economic instability in the country involved, the difficulty of predicting
international trade patterns and the possible imposition of exchange controls.
The prices of such securities may be more volatile than those of domestic
securities and the markets for such securities may be less liquid. In addition,
there may be less publicly available information about foreign issuers than
about domestic issuers. Many foreign issuers are not subject to uniform
accounting, auditing and financial reporting standards comparable to those
applicable to domestic issuers. There is generally less regulation of stock
exchanges, brokers, banks and listed companies abroad than in the United States.
With respect to certain foreign countries, there is a possibility of
expropriation or diplomatic developments that could affect investment in these
countries.

Emerging Markets. While each Portfolio's investments in foreign securities will
principally be in developed countries, a Portfolio may make investments in
developing or "emerging" countries, which involve exposure to economic
structures that are generally less diverse and mature than in the United States,
and to political systems that may be less stable. A developing or emerging
market country can be considered to be a country that is in the initial stages
of its industrialization cycle. Currently, emerging markets generally include
every country in the world other than the United States, Canada, Japan,
Australia, New Zealand, Hong Kong, Singapore and most Western European
countries. Currently, investing in many emerging markets may not be desirable or
feasible because of the lack of adequate custody arrangements for a Portfolio's
assets, overly burdensome repatriation and similar restrictions, the lack of
organized and liquid securities markets, unacceptable political risks or other
reasons. As opportunities to invest in securities in emerging markets develop, a
Portfolio may expand and further broaden the group of emerging markets in which
it invests. In the past, markets of developing or emerging market countries have
been more volatile than the markets of developed countries; however, such
markets often have provided higher rates of return to investors. The investment
manager believes that these characteristics can be expected to continue in the
future.

Many of the risks described above relating to foreign securities generally will
be greater for emerging markets than for developed countries. For instance,
economies in individual developing markets may differ favorably or unfavorably
from the U.S. economy in such respects as growth of domestic product, rates of
inflation, currency depreciation, capital reinvestment, resource
self-sufficiency and balance of payments positions. Many emerging


18
<PAGE>

markets have experienced substantial rates of inflation for many years.
Inflation and rapid fluctuations in inflation rates have had and may continue to
have very negative effects on the economies and securities markets of certain
developing markets. Economies in emerging markets generally are dependent
heavily upon international trade and, accordingly, have been and may continue to
be affected adversely by trade barriers, exchange controls, managed adjustments
in relative currency values and other protectionist measures imposed or
negotiated by the countries with which they trade. These economies also have
been and may continue to be affected adversely by economic conditions in the
countries with which they trade.

Also, the securities markets of developing countries are substantially smaller,
less developed, less liquid and more volatile than the securities markets of the
United States and other more developed countries. Disclosure, regulatory and
accounting standards in many respects are less stringent than in the United
States and other developed markets. There also may be a lower level of
monitoring and regulation of developing markets and the activities of investors
in such markets, and enforcement of existing regulations has been extremely
limited.

In addition, brokerage commissions, custodial services and other costs relating
to investment in foreign markets generally are more expensive than in the United
States; this is particularly true with respect to emerging markets. Such markets
have different settlement and clearance procedures. In certain markets there
have been times when settlements have been unable to keep pace with the volume
of securities transactions, making it difficult to conduct such transactions.
Such settlement problems may cause emerging market securities to be illiquid.
The inability of a Portfolio to make intended securities purchases due to
settlement problems could cause the Portfolio to miss attractive investment
opportunities. Inability to dispose of a portfolio security caused by settlement
problems could result either in losses to a Portfolio due to subsequent declines
in value of the portfolio security or, if a Portfolio has entered into a
contract to sell the security, could result in possible liability to the
purchaser. Certain emerging markets may lack clearing facilities equivalent to
those in developed countries. Accordingly, settlements can pose additional risks
in such markets and ultimately can expose a Portfolio to the risk of losses
resulting from the Portfolio's inability to recover from a counterparty.

The risk also exists that an emergency situation may arise in one or more
emerging markets as a result of which trading securities may cease or may be
substantially curtailed and prices for such securities in emerging markets may
not be readily available. In that case, securities in the affected markets will
be valued at fair value determined in good faith by or under the direction of
the Board of Trustees.

Investment in certain emerging market securities is restricted or controlled to
varying degrees. These restrictions or controls may at times limit or preclude
foreign investment in certain emerging market securities and increase the costs
and expenses of a Portfolio. Emerging markets may require governmental


                                                                              19
<PAGE>

approval for the repatriation of investment income, capital or the proceeds of
sales of securities by foreign investors. In addition, if a deterioration occurs
in an emerging market's balance of payments, the market could impose temporary
restrictions on foreign capital remittances.

PRIVATIZED ENTERPRISES. Investments in foreign securities may include securities
issued by enterprises that have undergone or are currently undergoing
privatization. The governments of certain foreign countries have, to varying
degrees, embarked upon privatization programs contemplating the sale of all or
part of their interests in state enterprises. A Portfolio's investments in the
securities of privatized enterprises include privately negotiated investments in
a government- or state-owned or controlled company or enterprise that has not
yet conducted an initial equity offering, investments in the initial offering of
equity securities of a state enterprise or former state enterprise and
investments in the securities of a state enterprise following its initial equity
offering.

In certain jurisdictions, the ability of foreign entities, such as a Portfolio,
to participate in privatizations may be limited by local law, or the price or
terms on which the Portfolio may be able to participate may be less advantageous
than for local investors. Moreover, there can be no assurance that governments
that have embarked on privatization programs will continue to divest their
ownership of state enterprises, that proposed privatization will be successful
or that governments will not re-nationalize enterprises that have been
privatized.

In the case of the enterprises in which a Portfolio may invest, large blocks of
the stock of those enterprises may be held by a small group of stockholders,
even after the initial equity offerings by those enterprises. The sale of some
portion or all of those blocks could have an adverse effect on the price of the
stock of any such enterprise.

Prior to making an initial equity offering, most state enterprises or former
state enterprises go through an internal reorganization of management. Such
reorganizations are made in an attempt to better enable these enterprises to
compete in the private sector. However, certain reorganizations could result in
a management team that does not function as well as the enterprise's prior
management and may have a negative effect on such enterprise. In addition, the
privatization of an enterprise by its government may occur over a number of
years, with the government continuing to hold a controlling position in the
enterprise even after the initial equity offering for the enterprise.

Prior to privatization, most of the state enterprises in which a Portfolio may
invest enjoy the protection of and receive preferential treatment from the
respective sovereigns that own or control them. After making an initial equity
offering these enterprises may no longer have such protection or receive such
preferential treatment and may become subject to market competition from which
they were previously protected. Some of these enterprises may not be able to
operate effectively in a competitive market and may suffer losses or experience
bankruptcy due to such competition.


20
<PAGE>

DEPOSITORY RECEIPTS. For many foreign securities, there are U.S. Dollar
denominated ADRs, which are bought and sold in the United States and are issued
by domestic banks. ADRs represent the right to receive securities of foreign
issuers deposited in the domestic bank or a correspondent bank. ADRs do not
eliminate all the risk inherent in investing in the securities of foreign
issuers, such as changes in foreign currency exchange rates. However, by
investing in ADRs rather than directly in foreign issuers' stock, the Fund
avoids currency risks during the settlement period. In general, there is a
large, liquid market in the United States for most ADRs. Each Portfolio may also
invest in European Depository Receipts ("EDRs"), which are receipts evidencing
an arrangement with a European bank similar to that for ADRs and are designed
for use in the European securities markets. EDRs are not necessarily denominated
in the currency of the underlying security.

   
SPECIAL RISK FACTORS -- HIGH YIELD (HIGH RISK) BONDS. As stated above, each
Portfolio may invest a portion of its assets in fixed income securities that are
in the lower rating categories (below the fourth category) of recognized rating
agencies or are non-rated, and determined to be of comparable quality to such
lower rated securities. These lower rated and non-rated fixed income securities
are considered, on balance, as predominantly speculative with respect to
capacity to pay interest and repay principal in accordance with the terms of the
obligation and generally will involve more credit risk than securities in the
higher rating categories. These lower rated and non-rated securities, which are
commonly referred to as "junk bonds," have widely varying characteristics and
quality. The market values of such securities tend to reflect individual
corporate developments to a greater extent than do those of higher rated
securities, which react primarily to fluctuations in the general level of
interest rates. Such lower rated securities also are more sensitive to economic
conditions than are higher rated securities. Adverse publicity and investor
perceptions regarding lower rated bonds, whether or not based upon fundamental
analysis, may depress the prices for such securities. These and other factors
adversely affecting the market value of high yield securities will adversely
affect a Portfolio's net asset value. Although some risk is inherent in all
securities ownership, holders of fixed income securities have a claim on the
assets of the issuer prior to the holders of common stock. Therefore, an
investment in fixed income securities generally entails less risk than an
investment in common stock of the same issuer. A Portfolio may have difficulty
disposing of certain high yield securities because they may have a thin trading
market. The lack of a liquid secondary market may have an adverse effect on
market price and a Portfolio's ability to dispose of particular issues and may
also make it more difficult for a Portfolio to obtain accurate market quotations
for purposes of valuing these assets. Additional information concerning high
yield securities appears under "Investment Policies and Techniques -- Other
Considerations -- High Yield (High Risk) Bonds" and "Appendix -- Ratings of
Fixed Income Investments" in the Statement of Additional Information.
    


                                                                              21
<PAGE>

ADDITIONAL INVESTMENT INFORMATION. The portfolio turnover rates for the
Portfolios are listed under "Financial Highlights." Higher portfolio turnover
involves correspondingly greater brokerage commissions or other transaction
costs. Higher portfolio turnover may result in the realization of greater net
short-term capital gains. See "Dividends and Taxes" in the Statement of
Additional Information.

No Portfolio may borrow money except as a temporary measure for extraordinary or
emergency purposes and not for leverage purposes, and then only in an amount up
to one-third of the value of its total assets in order to meet redemption
requests without immediately selling any portfolio securities or other assets.
If, for any reason, the current value of a Portfolio's total assets falls below
an amount equal to three times the amount of its indebtedness from money
borrowed, the Portfolio will, within three days (not including Sundays and
holidays), reduce its indebtedness to the extent necessary. A Portfolio may
pledge up to 15% of its total assets to secure any such borrowings.

No Portfolio will purchase illiquid securities, including repurchase agreements
maturing in more than seven days, if, as a result thereof, more than 15% of the
Portfolio's net assets, valued at the time of the transaction, would be invested
in such securities. If a Portfolio holds a material percentage of its assets in
illiquid securities, there may be a question concerning the ability of the
Portfolio to make payment within seven days of the date its shares are tendered
for redemption. SEC guidelines to Form N-1A provide that the usual limit on
aggregate holdings by an open-end investment company of illiquid assets is 15%
of its net assets. See "Investment Policies and Techniques -- Over-the-Counter
Options" in the Statement of Additional Information for a description of the
extent to which over-the-counter traded options are in effect considered as
illiquid for purposes of the limit on illiquid securities for the Portfolios.
Each Portfolio may invest in securities eligible for resale pursuant to Rule
144A under the Securities Act of 1933. This rule permits otherwise restricted
securities to be sold to certain institutional buyers, such as the Portfolios.
Such securities may be illiquid and subject to the Portfolio's limitation on
illiquid securities. A "Rule 144A" security may be treated as liquid, however,
if so determined pursuant to procedures adopted by the Board of Trustees.
Investing in Rule 144A securities could have the effect of increasing the level
of illiquidity in the portfolios to the extent that qualified institutional
buyers become uninterested for a time in purchasing Rule 144A securities.

Each Portfolio has adopted certain fundamental investment restrictions, which
are presented in the Statement of Additional Information and that, together with
the investment objective cannot be changed without approval by holders of a
majority of its outstanding voting shares. As defined in the Investment Company
Act of 1940, this means the lesser of the vote of (a) 67% of the shares of a
Portfolio present at a meeting where more than 50% of the outstanding shares are
present in person or by proxy; or (b) more than 50% of the outstanding shares of
a Portfolio. Each Portfolio's investment policies that are not incorporated into
any of the fundamental investment restrictions referred


22
<PAGE>

to above are not fundamental and may be changed by the Board of Trustees without
shareholder approval.

OPTIONS AND FINANCIAL FUTURES TRANSACTIONS. Each Portfolio may deal in options
on securities, securities indexes and foreign currencies, which options may be
listed for trading on a national securities exchange or traded over-the-counter.
Each Portfolio may write (sell) covered call and secured put options on up to
25% of net assets and may purchase put and call options provided that no more
than 5% of its net assets may be invested in premiums on such options.

A call option gives the purchaser the right to buy, and the writer the
obligation to sell, the underlying security or other asset at the exercise price
during the option period. A put option gives the purchaser the right to sell,
and the writer the obligation to buy, the underlying security or other asset at
the exercise price during the option period. The writer of a covered call owns
securities or other assets that are acceptable for escrow and the writer of a
secured put invests an amount not less than the exercise price in eligible
securities or other assets to the extent that it is obligated as a writer. If a
call written by a Portfolio is exercised, the Portfolio foregoes any possible
profit from an increase in the market price of the underlying security or other
asset over the exercise price plus the premium received. In writing puts, there
is a risk that a Portfolio may be required to take delivery of the underlying
security or other asset at a disadvantageous price.

Over-the-counter traded options ("OTC options") differ from exchange traded
options in several respects. They are transacted directly with dealers and not
with a clearing corporation, and there is a risk of non-performance by the
dealer as a result of the insolvency of such dealer or otherwise, in which event
a Portfolio may experience material losses. However, in writing options the
premium is paid in advance by the dealer. OTC options are available for a
greater variety of securities or other assets, and a wider range of expiration
dates and exercise prices, than for exchange traded options.

Each Portfolio may engage in financial futures transactions. Financial futures
contracts are commodity contracts that obligate the long or short holder to take
or make delivery of a specified quantity of a financial instrument, such as a
security, or the cash value of a securities index during a specified future
period at a specified price. A Portfolio will "cover" futures contracts sold by
the Portfolio and maintain in a segregated account certain liquid assets in
connection with futures contracts purchased by the Portfolio as described under
"Investment Policies and Techniques" in the Statement of Additional Information.
In connection with their foreign securities investments, the Portfolios may also
engage in foreign currency financial futures transactions. A Portfolio will not
enter into any futures contracts or options on futures contracts if the
aggregate of the contract value of the outstanding futures contracts of the
Portfolio and futures contracts subject to outstanding options written by the
Portfolio would exceed 50% of the total assets of the Portfolio.


                                                                              23
<PAGE>

The Portfolios may engage in financial futures transactions and may use index
options as an attempt to hedge against market risks. For example, when the
near-term market view is bearish but the portfolio composition is judged
satisfactory for the longer term, exposure to temporary declines in the market
may be reduced by entering into futures contracts to sell securities or the cash
value of a securities index. Conversely, where the near-term view is bullish,
but the Portfolio is believed to be well positioned for the longer term with a
high cash position, the Portfolio can hedge against market increases by entering
into futures contracts to buy securities or the cash value of a securities
index. In either case, the use of futures contracts would tend to reduce
portfolio turnover and facilitate the Portfolio's pursuit of its investment
objective.

Futures contracts entail risks. If the investment manager's judgment about the
general direction of interest rates, markets or exchange rates is wrong, the
overall performance may be poorer than if no such contracts had been entered
into. There may be an imperfect correlation between movements in prices of
futures contracts and portfolio assets being hedged. In addition, the market
prices of futures contracts may be affected by certain factors. If participants
in the futures market elect to close out their contracts through offsetting
transactions rather than meet margin requirements, distortions in the normal
relationship between the assets and futures market could result. Price
distortions also could result if investors in futures contracts decide to make
or take delivery of underlying securities or other assets rather than engage in
closing transactions because of the resultant reduction in the liquidity of the
futures market. In addition, because, from the point of view of speculators,
margin requirements in the futures market are less onerous than margin
requirements in the cash market, increased participation by speculators in the
futures market could cause temporary price distortions. Because of the
possibility of price distortions in the futures market, and because of imperfect
correlation between movements in the prices of securities or other assets and
movements in the prices of futures contracts, a correct forecast of market
trends by the investment manager still may not result in a successful hedging
transaction. Any of these factors could cause a Portfolio to lose money on the
financial futures contracts and also on the value of its portfolio assets. The
costs incurred in connection with futures transactions could reduce a
Portfolio's return.

Index options involve risks similar to those risks relating to transactions in
financial futures contracts described above. Also, an option purchased by a
Portfolio may expire worthless, in which case a Portfolio would lose the premium
paid therefor.

A Portfolio may engage in futures transactions only on commodities exchanges or
boards of trade. A Portfolio will not engage in transactions in index options,
financial futures contracts or related options for speculation, but only as an
attempt to hedge against changes in interest rates or market conditions
affecting the values of securities that the Portfolio owns or intends to
purchase.


24
<PAGE>

FOREIGN CURRENCY TRANSACTIONS. The Portfolios may invest a portion of their
assets in securities denominated in foreign currencies. The Portfolios may
engage in foreign currency transactions in connection with their investments in
foreign securities but will not speculate in foreign currency exchange.

The value of the foreign securities investments of a Portfolio measured in U.S.
Dollars (including ADRs) may be affected favorably or unfavorably by changes in
foreign currency exchange rates and exchange control regulations, and the
Portfolio may incur costs in connection with conversions between various
currencies. A Portfolio will conduct its foreign currency exchange transactions
either on a spot (i.e., cash) basis at the spot rate prevailing in the foreign
currency exchange market, or through forward contracts to purchase or sell
foreign currencies. A forward foreign currency exchange contract involves an
obligation to purchase or sell a specific currency at a future date, which may
be any fixed number of days from the date of the contract agreed upon by the
parties, at a price set at the time of the contract. These contracts are traded
directly between currency traders (usually large commercial banks) and their
customers.

When a Portfolio enters into a contract for the purchase or sale of a security
denominated in a foreign currency, it may want to establish the U.S. Dollar cost
or proceeds, as the case may be. By entering into a forward contract in U.S.
Dollars for the purchase or sale of the amount of foreign currency involved in
an underlying security transaction, the Portfolio is able to protect itself
against a possible loss between trade and settlement dates resulting from an
adverse change in the relationship between the U.S. Dollar and such foreign
currency. However, this tends to limit potential gains that might result from a
positive change in such currency relationships. A Portfolio may also hedge its
foreign currency exchange rate risk by engaging in currency financial futures
and options transactions.

When the investment manager believes that the currency of a particular foreign
country may suffer a substantial decline against the U.S. Dollar, it may enter
into a forward contract to sell an amount of foreign currency approximating the
value of some or all of the Portfolio's securities denominated in such foreign
currency. The forecasting of short-term currency market movement is extremely
difficult and whether such a short-term hedging strategy will be successful is
highly uncertain.

It is impossible to forecast with absolute precision the market value of
portfolio securities at the expiration of a contract. Accordingly, it may be
necessary for a Portfolio to purchase additional currency on the spot market
(and bear the expense of such purchase) if the market value of the security is
less than the amount of foreign currency the Portfolio is obligated to deliver
when a decision is made to sell the security and make delivery of the foreign
currency in settlement of a forward contract. Conversely, it may be necessary to
sell on the spot market some of the foreign currency received upon the sale of
the portfolio


                                                                              25
<PAGE>

security if its market value exceeds the amount of foreign currency the
Portfolio is obligated to deliver.

A Portfolio will not speculate in foreign currency exchange. A Portfolio will
not enter into such forward contracts or maintain a net exposure in such
contracts where the Portfolio would be obligated to deliver an amount of foreign
currency in excess of the value of the Portfolio's securities or other assets
denominated in that currency. The Portfolios do not intend to enter into such
forward contracts if they would have more than 15% of the value of their total
assets committed to forward contracts for the purchase of a foreign currency. A
Portfolio segregates cash or liquid securities to the extent required by
applicable regulation in connection with forward foreign currency exchange
contracts entered into for the purchase of a foreign currency. A Portfolio
generally does not enter into a forward contract with a term longer than one
year.

DERIVATIVES. In addition to options, financial futures and foreign currency
transactions, consistent with its objective, each Portfolio may invest in a
broad array of financial instruments and securities in which the value of the
instrument or security is "derived" from the performance of an underlying asset
or a "benchmark" such as a security index, an interest rate or a currency
("derivatives"). Derivatives are most often used to manage investment risk, to
increase or decrease exposure to an asset class or benchmark (as a hedge or to
enhance return), or to create an investment position indirectly (often because
it is more efficient or less costly than direct investment). The types of
derivatives used by each Portfolio and the techniques employed by the investment
manager may change over time as new derivatives and strategies are developed or
regulatory changes occur.

SPECIAL RISK FACTORS -- OPTIONS, FUTURES, FOREIGN CURRENCIES AND OTHER
DERIVATIVES. The Statement of Additional Information contains further
information about the characteristics, risks and possible benefits of options,
futures, foreign currency and other derivative transactions. See "Investment
Policies and Techniques" in the Statement of Additional Information. The
principal risks are: (a) possible imperfect correlation between movements in the
prices of options, currencies, futures contracts or other derivatives and
movements in the prices of the securities or currencies hedged, used for cover
or that the derivative intended to replicate; (b) lack of assurance that a
liquid secondary market will exist for any particular option, futures, foreign
currency or other derivatives contract at any particular time; (c) the need for
additional skills and techniques beyond those required for normal portfolio
management; (d) losses on futures contracts resulting from market movements not
anticipated by the investment manager; (e) the possible need to defer closing
out certain options, futures contracts or other derivatives in order to continue
to qualify for beneficial tax treatment afforded "regulated investment
companies" under the Internal Revenue Code; and (f) the possible non-performance
of the counter-party to the derivative contract.

LENDING OF PORTFOLIO SECURITIES. Consistent with applicable regulatory
requirements, the Portfolios may lend securities (principally to


26
<PAGE>

broker-dealers) without limit where such loans are callable at any time and are
continuously secured by segregated collateral (cash or U.S. Government
securities) equal to no less than the market value, determined daily, of the
securities loaned. The Portfolios will receive amounts equal to dividends or
interest on the securities loaned. The Portfolios will also earn income for
having made the loan. Any cash collateral pursuant to these loans will be
invested in short-term money market instruments. As with other extensions of
credit, there are risks of delay in recovery or even loss of rights in the
collateral should the borrower of the securities fail financially. However, the
loans would be made only to firms deemed by the investment manager to be of good
standing, and when the investment manager believes the potential earnings
justify the attendant risk. Management will limit such lending to not more than
one-third of the value of a Portfolio's total assets.

DELAYED DELIVERY TRANSACTIONS. Each Portfolio may purchase or sell portfolio
securities on a when-issued or delayed delivery basis. When-issued or delayed
delivery transactions arise when securities are purchased by a Portfolio with
payment and delivery to take place in the future in order to secure what is
considered to be an advantageous price and yield to the Portfolio at the time of
entering into the transactions. The value of fixed yield securities to be
delivered in the future will fluctuate as interest rates vary. Because a
Portfolio must set aside cash or liquid high grade securities to satisfy its
commitments to purchase when-issued or delayed delivery securities, flexibility
to manage the Portfolio's investments may be limited if commitments to purchase
when-issued or delayed delivery securities were to exceed 25% of the value of
its assets.

To the extent a Portfolio engages in when-issued or delayed delivery
transactions, it will generally do so for the purpose of actually acquiring
portfolio securities consistent with the Portfolio's investment objective and
policies. A Portfolio reserves the right to sell these securities before the
settlement date if deemed advisable. In some instances, the third-party seller
of when-issued or delayed delivery securities may determine prior to the
settlement date that it will be unable to meet its existing transaction
commitments without borrowing securities. If advantageous from a yield
perspective, a Portfolio may, in that event, agree to resell its purchase
commitment to the third-party seller at the current market price on the date of
sale and concurrently enter into another purchase commitment for such securities
at a later date. As an inducement for a Portfolio to "roll over" its purchase
commitment, the Portfolio may receive a negotiated fee.

REPURCHASE AGREEMENTS. Each Portfolio may invest in repurchase agreements, under
which it acquires ownership of a security and a broker-dealer or bank agrees to
repurchase the security at a mutually agreed upon time and price, thereby
determining the yield during the Portfolio's holding period. The investment
manager will evaluate the creditworthiness of all entities with which the Fund
intends to engage in repurchase agreements pursuant to procedures adopted by the
Board of Trustees of the Fund. Maturity of the securities subject to repurchase
may exceed one year. In the event of a bankruptcy or other default


                                                                              27
<PAGE>

of a seller of a repurchase agreement, the Portfolio might have expenses in
enforcing its rights, and could experience losses, including a decline in the
value of the underlying securities and loss of income. Repurchase agreements
maturing in more than seven days will be considered illiquid for purposes of the
Portfolios' limitations on illiquid securities.

COLLATERALIZED OBLIGATIONS. Subject to its investment objectives and policies, a
Portfolio may purchase collateralized obligations, including interest only
("IO") and principal only ("PO") securities. A collateralized obligation is a
debt security issued by a corporation, trust or custodian, or by a U.S.
Government agency or instrumentality, that is collateralized by a portfolio or
pool of mortgages, mortgage-backed securities, U.S. Government securities or
other assets (such as credit card or automobile loan receivables). The issuer's
obligation to make interest and principal payments is secured by the underlying
pool or portfolio of securities.

Collateralized obligations issued or guaranteed by a U.S. Government Agency or
instrumentality, such as the Federal Home Loan Mortgage Corporation, are
considered U.S. Government securities for purposes of this prospectus.
Privately-issued collateralized obligations collateralized by a portfolio of
U.S. Government securities are not direct obligations of the U.S. Government or
any of its agencies or instrumentalities and are not considered U.S. Government
securities for purposes of this prospectus. A variety of types of collateralized
obligations are available currently and others may become available in the
future.

Since the collateralized obligations may be issued in classes with varying
maturities and interest rates, the investor may obtain greater predictability of
maturity than with direct investments in mortgage-backed securities. Classes
with shorter maturities may have lower volatility and lower yield while those
with longer maturities may have higher volatility and higher yield. This
provides the investor with greater control over the characteristics of the
investment in a changing interest rate environment. With respect to interest
only and principal only securities, an investor has the option to select from a
pool of underlying collateral the portion of the cash flows that most closely
corresponds to the investor's forecast of interest rate movements. These
instruments tend to be highly sensitive to prepayment rates on the underlying
collateral and thus place a premium on accurate prepayment projections by the
investor.

Each Portfolio may invest in collateralized obligations whose yield floats
inversely against a specified index rate. These "inverse floaters" are more
volatile than conventional fixed or floating rate collateralized obligations and
the yield thereon, as well as the value thereof, will fluctuate in inverse
proportion to changes in the index upon which rate adjustments are based. As a
result, the yield on an inverse floater will generally increase when market
yields (as reflected by the index) decrease and decrease when market yields
increase. The extent of the volatility of inverse floaters depends on the extent
of anticipated changes in market rates of interest. Generally, inverse floaters


28
<PAGE>

provide for interest rate adjustments based upon a multiple of the specified
interest index, which further increases their volatility. The degree of
additional volatility will be directly proportional to the size of the multiple
used in determining interest rate adjustments.

Additional information concerning collateralized obligations is contained in the
Statement of Additional Information under "Investment Policies and Techniques --
Collateralized Obligations."

INVESTMENT MANAGER AND UNDERWRITER

   
INVESTMENT MANAGER. Scudder Kemper Investments, Inc. ("Scudder Kemper"), 345
Park Avenue, New York, New York, is the investment manager of the Fund and
provides each Portfolio with continuous professional investment supervision.
Scudder Kemper has been engaged in the management of investment funds for more
than seventy years and has more than $230 billion in assets under management.
Scudder Kemper is an indirect subsidiary of Zurich Financial Services, Inc., a
newly formed global insurance and financial services company. Zurich Financial
Services, Inc. owns approximately 70% of Scudder Kemper, with the balance owned
by Scudder Kemper's officers and employees.

In connection with the formation of Zurich Financial Services, Inc., each
Portfolio's existing investment management agreement with Scudder Kemper was
deemed to have been assigned and, therefore, terminated. The Board has approved
new investment management agreements with Scudder Kemper, which are
substantially identical to the current investment management agreements except
for the dates of execution and termination. These agreements became effective
upon the termination of the then current investment management agreements and
will be submitted for shareholder approval at a special meeting currently
scheduled to conclude in December 1998.

Responsibility for overall management of the Fund rests with its Board of
Trustees and officers. Professional investment supervision is provided by
Scudder Kemper. The investment management agreement provides that Scudder Kemper
shall act as the Fund's investment adviser, manage its investments and provide
it with various services and facilities.

Philip S. Fortuna is the lead portfolio manager for the Kemper Horizon Fund. Mr.
Fortuna joined Scudder Kemper in 1986 and is a Managing Director. He served as
Director of Quantitative Services from 1987 to 1993 and Director of Investment
Operations from 1993 to 1995. From 1995 to 1997, he was involved in global
planning and new product development in addition to his portfolio management
responsibilities. Mr. Fortuna currently oversees all of Scudder Kemper's
quantitative activities. Karla D. Grant and Robert D. Tymoczko also serve as
portfolio managers. Karla Grant joined Scudder Kemper in 1997. She began her
investment career in 1990. Prior to joining Scudder Kemper she served as Vice
President for several independent asset management firms. Robert Tymoczko joined
Scudder Kemper in 1997. Prior to 
    


                                                                              29
<PAGE>

   
joining Scudder Kemper he worked as an economic consultant specializing in
quantitative research and econometric consulting. He began his investment career
in 1996.

Scudder Kemper is paid a monthly investment management fee, by each Portfolio,
at the annual rates shown below.

                                                                      Management
Average Daily Net Assets of a Portfolio                               Fee Rates
- ---------------------------------------                               ---------

$0 - $250 million ................................................      0.58%

$250 million - $1 billion ........................................      0.55%

$1 billion - $2.5 billion ........................................      0.53%

$2.5 billion - $5 billion ........................................      0.51%

$5 billion - $7.5 billion ........................................      0.48%

$7.5 billion - $10 billion .......................................      0.46%

$10 billion - $12.5 billion ......................................      0.44%

Over $12.5 billion ...............................................      0.42%

Fund Accounting Agent. Scudder Fund Accounting ("SFAC"), a subsidiary of Scudder
Kemper, is responsible for determining the net asset value per share of the Fund
and maintaining all accounting records related thereto. Currently, SFAC receives
no fee for its services to the Fund; however, subject to Board approval, at some
time in the future, SFAC may seek payment for its services under this agreement.

Year 2000 Readiness. Like other mutual funds and financial and business
organizations worldwide, the Fund could be adversely affected if computer
systems on which the Fund relies, which primarily include those used by Scudder
Kemper, its affiliates or other service providers, are unable to process
correctly date-related information on and after January 1, 2000. This risk is
commonly called the Year 2000 Issue. Failure to address successfully the Year
2000 Issue could result in interruptions to and other material adverse effects
on the Fund's business and operations. Scudder Kemper has commenced a review of
the Year 2000 Issue as it may affect the Fund and is taking steps it believes
are reasonably designed to address the Year 2000 Issue, although there can be no
assurances that these steps will be sufficient. In addition, there can be no
assurances that the Year 2000 Issue will not have an adverse effect on the
companies whose securities are held by the Fund or on global markets or
economies generally.

Euro Conversion. The planned introduction of a new European currency, the Euro,
may result in uncertainties for European securities in the markets in which they
trade and with respect to the operation of the Portfolios. Currently, the Euro
is expected to be introduced on January 1, 1999 by eleven European countries
that are members of the European Economic and Monetary Union ("EMU"). The
introduction of the Euro will require the redenomination of European debt and
equity securities over a period of time, which may result in various accounting
differences and/or tax treatments that otherwise would not
    


30
<PAGE>

   
likely occur. Additional questions are raised by the fact that certain other EMU
members, including the United Kingdom, will not officially be implementing the
Euro on January 1, 1999. If the introduction of the Euro does not take place as
planned, there could be negative effects, such as severe currency fluctuations
and market disruptions.

Scudder Kemper is actively working to address Euro-related issues and
understands that other key service providers are taking similar steps. At this
time, however, no one knows precisely what the degree of impact will be. To the
extent that the market impact or effect on a portfolio holding is negative, it
could hurt the portfolio's performance.

PRINCIPAL UNDERWRITER. Pursuant to an underwriting and distribution services
agreement ("distribution agreement") with the Fund, Kemper Distributors, Inc.
("KDI"), 222 South Riverside Plaza, Chicago, Illinois, 60606, a wholly-owned
subsidiary of Scudder Kemper, is the principal underwriter and distributor of
the Fund's shares and acts as agent of the Fund in the sale of its shares. KDI
bears all its expenses of providing services pursuant to the distribution
agreement, including the payment of any commissions. KDI provides for the
preparation of advertising or sales literature and bears the cost of printing
and mailing prospectuses to persons other than shareholders. KDI bears the cost
of qualifying and maintaining the qualification of Fund shares for sale under
the securities laws of the various states and the Fund bears the expense of
registering its shares with the Securities and Exchange Commission. KDI may
enter into related selling group agreements with various broker-dealers,
including affiliates of KDI, that provide distribution services to investors.
KDI also may provide some of the distribution services.

Class A Shares. KDI receives no compensation from the Fund as principal
underwriter for Class A shares and pays all expenses of distribution of the
Fund's Class A shares under the distribution agreements not otherwise paid by
dealers or other financial services firms. As indicated under "Purchase of
Shares," KDI retains the sales charge upon the purchase of shares and pays or
allows concessions or discounts to firms for the sale of the Fund's shares.

Class B Shares. For its services under the distribution agreement, KDI receives
a fee from each Portfolio under a Rule 12b-1 Plan, payable monthly, at the
annual rate of 0.75% of average daily net assets of the Portfolio attributable
to Class B shares. This fee is accrued daily as an expense of Class B shares.
KDI also receives any contingent deferred sales charges. See "Redemption or
Repurchase of Shares -- Contingent Deferred Sales Charge -- Class B Shares." KDI
currently compensates firms for sales of Class B shares at a commission rate of
3.75%.

Class C Shares. For its services under the distribution agreement, KDI receives
a fee from each Portfolio under a Rule 12b-1 Plan, payable monthly, at the
annual rate of 0.75% of average daily net assets of the Portfolio attributable
to Class C shares. This fee is accrued daily as an expense of Class C shares.
KDI currently advances to firms the first year distribution fee at a rate of
0.75% of
    


                                                                              31
<PAGE>

   
the purchase price of such shares. For periods after the first year, KDI
currently intends to pay firms for sales of Class C shares a distribution fee,
payable quarterly, at an annual rate of 0.75% of net assets attributable to
Class C shares maintained and serviced by the firm and the fee continues until
terminated by KDI or the Fund. KDI also receives any contingent deferred sales
charges. See "Redemption or Repurchase of Shares -- Contingent Deferred Sales
Charge -- Class C Shares."

Rule 12b-1 Plan. Each Portfolio has adopted a plan under Rule 12b-1 (the "Rule
12b-1 Plan") that provides for fees payable as an expense of the Class B shares
and Class C shares that are used by KDI to pay for distribution and services for
those classes. Because 12b-1 fees are paid out of Portfolio assets on an ongoing
basis, they will, over time, increase the cost of an investment and may cost
more than other types of sales charges. The table below shows amounts paid in
connection with the Rule 12b-1 Plan for each Portfolio for the fiscal year ended
July 31, 1998.

                                         Distribution Fees  Contingent Deferred
                 Distribution Expenses    Paid by Fund to       Sales Charge
                Incurred By Underwriter     Underwriter     Paid to Underwriter
                -----------------------     -----------     -------------------
Portfolio          Class B    Class C   Class B    Class C   Class B   Class C
- ---------          -------    -------   -------    -------   -------   -------

Horizon 20+      $1,128,000  $129,000   $305,000   $45,000   $72,000    $1,000

Horizon 10+       $918,000   $154,000   $266,000   $61,000   $49,000    $1,000

Horizon 5         $511,000    $95,000   $150,000   $31,000   $20,000    $1,000

If the Rule 12b-1 Plan (the "Plan") is terminated for any class of any Portfolio
in accordance with its terms, the obligation of the Fund to make payments to KDI
pursuant to the Plan for such class will cease and the Fund will not be required
to make any payments for such class past the termination date. Thus, there is no
legal obligation for the Fund to pay any expenses incurred by KDI in excess of
its fees under a Plan, if for any reason the Plan is terminated in accordance
with its terms. Future fees under a Plan may or may not be sufficient to
reimburse KDI for its expenses incurred.

ADMINISTRATIVE SERVICES. KDI also provides information and administrative
services for shareholders of the Fund pursuant to an administrative services
agreement ("administrative agreement"). KDI may enter into related arrangements
with various broker-dealer firms and other service or administrative firms
("firms"), that provide services and facilities for their customers or clients
who are investors of the Fund. Such administrative services and assistance may
include, but are not limited to, establishing and maintaining shareholder
accounts and records, processing purchase and redemption transactions, answering
routine inquiries regarding the Fund and its special features, and such other
services as may be agreed upon from time to time and permitted by applicable
statute, rule or regulation. KDI bears all its expenses of providing services
pursuant to the administrative agreement, including the payment of any service
fees. For services under the administrative agreement, the Fund pays KDI a fee,
payable monthly, at an annual rate of up
    


32
<PAGE>

   
to 0.25% of average daily net assets of Class A, B and C shares of each
Portfolio. KDI then pays each firm a service fee at an annual rate of up to
0.25% of net assets attributable to Class A, B and C shares maintained and
serviced by the firm. Firms to which service fees may be paid include
broker-dealers affiliated with KDI.

CLASS A SHARES. For Class A shares, a firm becomes eligible for the service fee
based on assets in the accounts in the month following the month of purchase and
the fee continues until terminated by KDI or the Fund. The fees are calculated
monthly and normally paid quarterly.

CLASS B AND CLASS C SHARES. KDI currently advances to firms the first year
service fee at a rate of up to 0.25% of the purchase price of such shares. For
periods after the first year, KDI currently intends to pay firms a service fee
at a rate of up to 0.25% (calculated monthly and normally paid quarterly) of the
net assets attributable to Class B and Class C shares maintained and serviced by
the firm. After the first year, a firm will become eligible for the quarterly
service fee and the fee continues until terminated by KDI or the Fund.

KDI also may provide some of the above services and may retain any portion of
the fee under the administrative agreements not paid to firms to compensate
itself for administrative functions performed for the Fund. Currently, the
administrative services fee payable to KDI is based only upon Portfolio assets
in accounts for which a firm provides administrative services and it is intended
that KDI will pay all the administrative services fee that it receives from a
Portfolio to firms in the form of service fees. The effective administrative
services fee rate to be charged against all assets of a Portfolio while this
procedure is in effect will depend upon the proportion of Portfolio assets that
is in accounts for which a firm provides administrative services. In addition,
KDI may, from time to time, from its own resources pay certain firms additional
amounts for ongoing administrative services and assistance provided to their
customers and clients who are shareholders of the Fund.

CUSTODIAN, TRANSFER AGENT AND SHAREHOLDER SERVICE AGENT. Investors Fiduciary
Trust Company ("IFTC"), 801 Pennsylvania Avenue, Kansas City, Missouri 64105, as
custodian, and State Street Bank and Trust Company, 225 Franklin Street, Boston,
Massachusetts 02110, as sub-custodian, have custody of all securities and cash
of the Fund maintained in the United States. The Chase Manhattan Bank, Chase
MetroTech Center, Brooklyn, New York 11245, as custodian, has custody of all
securities and cash of the Fund held outside the United States. IFTC also is the
Fund's transfer agent and dividend-paying agent. Pursuant to a services
agreement with IFTC, Kemper Service Company ("KSvC"), an affiliate of Scudder
Kemper, serves as "Shareholder Service Agent" of the Fund and, as such, performs
all of IFTC's duties as transfer agent and dividend-paying agent. For a
description of transfer agent and shareholder service agent fees, see
"Investment Manager and Underwriter" in the Statement of Additional Information.
    


                                                                              33
<PAGE>

   
PORTFOLIO TRANSACTIONS. Scudder Kemper places all orders for purchases and sales
of each Portfolio's securities. Subject to seeking best execution of orders,
Scudder Kemper may consider sales of shares of the Fund and other funds managed
by Scudder Kemper or its affiliates as a factor in selecting broker-dealers. See
"Portfolio Transactions" in the Statement of Additional Information.
    

DIVIDENDS AND TAXES

DIVIDENDS. Each Portfolio normally distributes dividends of net investment
income as follows: annually for the Horizon 20+ Portfolio; semi-annually for the
Horizon 10+ Portfolio and quarterly for the Horizon 5 Portfolio. Each Portfolio
distributes any net realized short-term and long-term capital gains at least
annually.

   
Dividends paid for a Portfolio as to each class of its shares will be calculated
in the same manner, at the same time and on the same day. The level of income
dividends per share (as a percentage of net asset value) will be lower for Class
B and Class C shares than for Class A shares primarily as a result of the
distribution services fee applicable to Class B and Class C shares.
Distributions of capital gains, if any, will be paid in the same proportion for
each class.
    

Income and capital gain dividends, if any, of a Portfolio will be credited to
shareholder accounts in full and fractional Fund shares of the same class of
that Portfolio at net asset value on the reinvestment date, except that, upon
written request to the Shareholder Service Agent, a shareholder may select one
of the following options:

1.   To receive income and short-term capital gain dividends in cash and
     long-term capital gain dividends in shares of the same class at net asset
     value; or

2. To receive income and capital gain dividends in cash.

Any dividends of a Portfolio that are reinvested normally will be reinvested in
Fund shares of the same class of that same Portfolio. However, upon written
request to the Shareholder Service Agent, a shareholder may elect to have
dividends of a Portfolio invested in shares of the same class of another Kemper
Fund at the net asset value of such class of such other fund. See "Special
Features -- Class A Shares -- Combined Purchases" for a list of such other
Kemper Funds. To use this privilege of investing dividends of a Portfolio in
shares of another Kemper Fund, shareholders must maintain a minimum account
value of $1,000 in the Portfolio distributing the dividends. Each Portfolio will
reinvest dividend checks (and future dividends) in shares of that same Portfolio
and class if checks are returned as undeliverable. Dividends and other
distributions in the aggregate amount of $10 or less are automatically
reinvested in shares of the same Portfolio unless the shareholder requests that
such policy not be applied to the shareholder's account.

   
TAXES. Dividends derived from net investment income and net short-term capital
gains are taxable to shareholders as ordinary income and long-term
    


34
<PAGE>

   
capital gain dividends are taxable to shareholders as long-term capital gain
regardless of how long the shares have been held and whether received in cash or
shares. Dividends declared in October, November or December to shareholders of
record as of a date in one of those months and paid during the following January
are treated as paid on December 31 of the calendar year declared. A portion of
the dividends paid by a Portfolio may qualify for the dividends received
deduction available to corporate shareholders.

A dividend received shortly after the purchase of shares reduces the net asset
value of the shares by the amount of the dividend and, although in effect a
return of capital, will be taxable to the shareholder. If the net asset value of
shares were reduced below the shareholder's cost by dividends representing gains
realized on sales of securities, such dividends would be a return of investment
though taxable as stated above.

Upon a sale or exchange of a Portfolio's shares a shareholder may realize a
capital gain or loss which may be long-term or short-term, depending on the
shareholder's holding period for the shares.

Each Portfolio is required by law to withhold 31% of taxable dividends and
redemption proceeds paid to certain shareholders who do not furnish a correct
taxpayer identification number (in the case of individuals, a social security
number) and in certain other circumstances.

After each transaction, shareholders will receive a confirmation statement
giving complete details of the transaction except that statements will be sent
quarterly for transactions involving reinvestment and periodic investment and
redemption programs. Information for income tax purposes, including, when
appropriate, information regarding any foreign taxes and credits, will be
provided after the end of the calendar year. Shareholders are encouraged to
retain copies of their account confirmation statements or year-end statements
for tax reporting purposes. However, those who have incomplete records may
obtain historical account transaction information at a reasonable fee. When more
than one shareholder resides at the same address, certain reports and
communications to be delivered to such shareholders may be combined in the same
mailing package, and certain duplicate reports and communications may be
eliminated. Similarly, account statements to be sent to such shareholders may be
combined in the same mailing package or consolidated into a single statement.
However, a shareholder may request that the foregoing policies not be applied to
shareholder's account.
    


                                                                              35
<PAGE>

NET ASSET VALUE

   
The net asset value per share of a Portfolio is the value of one share and is
determined separately for each class by dividing the value of a Portfolio's net
assets attributable to the class by the number of shares of that class
outstanding. The per share net asset value of each of Class B and Class C shares
of the Portfolio will generally be lower than that of the Class A shares of a
Portfolio because of the higher expenses borne by the Class B and Class C
shares. The net asset value of shares of a Portfolio is computed as of the close
of regular trading (the "value time") on the New York Stock Exchange (the
"Exchange") on each day the Exchange is open for trading. The Exchange is
scheduled to be closed on the following holidays: New Year's Day, Martin Luther
King, Jr. Day, Presidents' Day, Good Friday, Memorial Day, Independence Day,
Labor Day, Thanksgiving and Christmas.

Portfolio securities for which market quotations are readily available are
generally valued at market value as of the value time in the manner described
below. All other securities may be valued at fair value as determined in good
faith by or under the direction of the Board.

With respect to the Portfolios with securities listed primarily on foreign
exchanges, such securities may trade on days when the Portfolios' net asset
value is not computed; and therefore, the net asset value of a Portfolio may be
significantly affected on days when the investor has no access to the Portfolio.

An exchange-traded equity security is valued at its most recent sale price.
Lacking any sales, the security is valued at the calculated mean between the
most recent bid quotation and the most recent asked quotation (the "Calculated
Mean"). Lacking a Calculated Mean, the security is valued at the most recent bid
quotation. An equity security which is traded on The Nasdaq Stock Market Inc.
("Nasdaq") is valued at its most recent sale price. Lacking any sales, the
security is valued at the most recent bid quotation. The value of an equity
security not quoted on Nasdaq, but traded in another over-the-counter market, is
its most recent sale price. Lacking any sales, the security is valued at the
Calculated Mean. Lacking a Calculated Mean, the security is valued at the most
recent bid quotation.

Debt securities are valued at prices supplied by a pricing agent(s) which
reflect broker/dealer supplied valuations and electronic data processing
techniques. Money market instruments purchased with an original maturity of
sixty days or less, maturing at par, shall be valued at amortized cost, which
the Board believes approximates market value. If it is not possible to value a
particular debt security pursuant to these valuation methods, the value of such
security is the most recent bid quotation supplied by a bona fide marketmaker.
If it is not possible to value a particular debt security pursuant to the above
methods, the investment manager of the particular fund may calculate the price
of that debt security, subject to limitations established by the Board.

An exchange-traded options contract on securities, currencies, futures and other
financial instruments is valued at its most recent sale price on such
    


36
<PAGE>

   
exchange. Lacking any sales, the options contract is valued at the Calculated
Mean. Lacking any Calculated Mean, the options contract is valued at the most
recent bid quotation in the case of a purchased options contract, or the most
recent asked quotation in the case of a written options contract. An options
contract on securities, currencies and other financial instruments traded
over-the-counter is valued at the most recent bid quotation in the case of a
purchased options contract and at the most recent asked quotation in the case of
a written options contract. Futures contracts are valued at the most recent
settlement price. Foreign currency exchange forward contracts are valued at the
value of the underlying currency at the prevailing exchange rate on the
valuation date.

If a security is traded on more than one exchange, or upon one or more exchanges
and in the over-the-counter market, quotations are taken from the market in
which the security is traded most extensively.

If, in the opinion of the Valuation Committee of the Board of Trustees, the
value of a portfolio asset as determined in accordance with these procedures
does not represent the fair market value of the portfolio asset, the value of
the portfolio asset is taken to be an amount which, in the opinion of the
Valuation Committee, represents fair market value on the basis of all available
information. The value of other portfolio holdings owned by a Portfolio is
determined in a manner which, in the discretion of the Valuation Committee, most
fairly reflects market value of the property on the valuation date.

Following the valuations of securities or other portfolio assets in terms of the
currency in which the market quotation used is expressed ("Local Currency"), the
value of these portfolio assets in terms of U.S. dollars is calculated by
converting the Local Currency into U.S. dollars at the prevailing currency
exchange rate on the valuation date.
    

PURCHASE OF SHARES

   
ALTERNATIVE PURCHASE ARRANGEMENTS. Class A shares of the Portfolios are sold to
investors subject to an initial sales charge. Class B shares are sold without an
initial sales charge but are subject to higher ongoing expenses than Class A
shares and a contingent deferred sales charge payable upon certain redemptions.
Class B shares automatically convert to Class A shares six years after issuance.
Class C shares are sold without an initial charge but are subject to higher
ongoing expenses than Class A shares, are subject to a contingent deferred sales
charge payable upon certain redemptions within the first year following
purchase, and do not convert into another class. When placing purchase orders,
investors must specify whether the order is for Class A, Class B or Class C
shares.
    

The primary distinctions among the classes of shares lie in their initial and
contingent deferred sales charge structures and in their ongoing expenses,
including asset-based sales charges in the form of Rule 12b-1 distribution fees.
These differences are summarized in the table below. See, also, "Summary of


                                                                              37
<PAGE>

Expenses." Each class has distinct advantages and disadvantages for different
investors, and investors may choose the class that best suits their
circumstances and objectives.

                                      Annual 12b-1 Fees
                                      (as a % of average
                   Sales Charge       daily net assets)     Other Information
                   ------------       -----------------     -----------------

Class A     Maximum initial sales               None       Initial sales charge
            charge of 5.75% of the                         waived or reduced for
            public offering price                          certain purchases

Class B     Maximum contingent                  0.75%      Shares convert to
            deferred sales charge of                       Class A shares six
            4% of redemption proceeds;                     years after issuance
            declines to zero after six
            years

Class C     Contingent deferred sales           0.75%      No conversion feature
            charge of 1% of redemption
            proceeds for redemptions
            made during first year
            after purchase

The minimum initial investment for each Portfolio is $1,000 and the minimum
subsequent investment is $100. The minimum initial investment for an Individual
Retirement Account is $250 and the minimum subsequent investment is $50. Under
an automatic investment plan, such as Bank Direct Deposit, Payroll Direct
Deposit or Government Direct Deposit, the minimum initial and subsequent
investment is $50. These minimum amounts may be changed at any time in
management's discretion.

Share certificates will not be issued unless requested in writing. It is
recommended that investors not request share certificates unless needed for a
specific purpose. You cannot redeem shares by telephone or wire transfer or use
the telephone exchange privilege if share certificates have been issued. A lost
or destroyed certificate is difficult to replace and can be expensive to the
shareholder (a bond worth 2% or more of the certificate value is normally
required).

INITIAL SALES CHARGE ALTERNATIVE -- CLASS A SHARES. The public offering price of
Class A shares for purchasers choosing the initial sales charge alternative is
the net asset value plus a sales charge, as set forth below.


38
<PAGE>

                                                 Sales Charge
                                                 ------------
                                                                    Allowed to
                                                                   Dealers as a
                            As a Percentage   As a Percentage of  Percentage of
Amount of Purchase         of Offering Price   Net Assets Value*  Offering Price
- ------------------         -----------------   -----------------  --------------

Less than $50,000 ........       5.75%              6.10%             5.20%

$50,000 but less than
$100,000 .................       4.50%              4.71%             4.00%

$100,000 but less than
$250,000 .................       3.50%              3.63%             3.00%

$250,000 but less than
$500,000 .................       2.60%              2.67%             2.25%

$500,000 but less than
$1 million ...............       2.00%              2.04%             1.75%

$1 million and over ......       0**                0**                ***

- -----------
*    Rounded to the nearest one-hundredth percent.

**   Redemption of shares may be subject to a contingent deferred sales charge
     as discussed below.

   
***  Commissions payable by KDI as discussed below.

Each Portfolio receives the entire net asset value of all its Class A shares
sold. KDI, the Fund's principal underwriter, retains the sales charge on sales
of Class A shares from which it allows discounts from the applicable public
offering price to investment dealers, which discounts are uniform for all
dealers in the United States and its territories. The normal discount allowed to
dealers is set forth in the above table. Upon notice to all dealers with whom it
has sales agreements, KDI may reallow up to the full applicable sales charge, as
shown in the above table, during periods and for transactions specified in such
notice and such reallowances may be based upon attainment of minimum sales
levels. During periods when 90% or more of the sales charge is reallowed, such
dealers may be deemed to be underwriters as that term is defined in the
Securities Act of 1933.
    

       

Class A shares may be purchased at net asset value by: (a) any purchaser
provided that the amount invested in a Portfolio or other Kemper Mutual Funds
listed under "Special Features -- Class A Shares -- Combined Purchases" totals
at least $1,000,000 including purchases of Class A shares pursuant to the
"Combined Purchases," "Letter of Intent" and "Cumulative Discount" features
described under "Special Features"; or (b) a participant-directed qualified
retirement plan described in Code Section 401(a) or a participant-directed
non-qualified deferred compensation plan described in Code Section 457 or a
participant-directed qualified retirement plan described in Code Section
403(b)(7) which is not sponsored by a K-12 school district, provided in each
case that such plan has not less than 200 eligible employees (the "Large Order
NAV Purchase Privilege"). Redemption within two years of shares purchased under
the Large Order NAV Purchase Privilege may be subject


                                                                              39
<PAGE>

to a contingent deferred sales charge. See "Redemption or Repurchase of Shares
- -- Contingent Deferred Sales Charge -- Large Order NAV Purchase Privilege."

   
KDI may in its discretion compensate investment dealers or other financial
services firms in connection with the sale of Class A shares of the Fund at net
asset value in accordance with the Large Order NAV Purchase Privilege up to the
following amounts: 1.00% of the net asset value of shares sold on amounts up to
$5 million, 0.50% on the next $45 million and 0.25% on amounts over $50 million.
The commission schedule will be reset on a calendar year basis for sales of
shares pursuant to the Large Order NAV Purchase Privilege to employer sponsored
employee benefit plans using the subaccount recordkeeping system made available
through KSvC. For purposes of determining the appropriate commission percentage
to be applied to a particular sale, KDI will consider the cumulative amount
invested by the purchaser in the Fund and other Kemper Mutual Funds listed under
"Special Features -- Class A Shares -- Combined Purchases," including purchases
pursuant to the "Combined Purchases," "Letter of Intent" and "Cumulative
Discount" features referred to above. The privilege of purchasing Class A shares
at net asset value under the Large Order NAV Purchase Privilege is not available
if another net asset value purchase privilege is also applicable (including the
purchase of Class A shares of the Cash Reserves Fund).

Effective on February 1, 1996, Class A shares of the Portfolios or any other
Kemper Mutual Fund listed under "Special Features -- Class A Shares -- Combined
Purchases" may be purchased at net asset value in any amount by members of the
plaintiff class in the proceeding known as Howard and Audrey Tabankin, et al. v.
Kemper Short-Term Global Income Fund, et al., Case No. 93 C 5231 (N.D. IL). This
privilege is generally non-transferrable and continues for the lifetime of
individual class members and for a ten year period for non-individual class
members. To make a purchase at net asset value under this privilege, the
investor must, at the time of purchase, submit a written request that the
purchase be processed at net asset value pursuant to this privilege specifically
identifying the purchaser as a member of the "Tabankin Class." Shares purchased
under this privilege will be maintained in a separate account that includes only
shares purchased under this privilege. For more details concerning this
privilege, class members should refer to the Notice of (1) Proposed Settlement
with Defendants; and (2) Hearing to Determine Fairness of Proposed Settlement,
dated August 31, 1995, issued in connection with the aforementioned court
proceeding. For sales of Portfolio shares at net asset value pursuant to this
privilege, KDI may at its discretion pay investment dealers and other financial
services firms a concession, payable quarterly, at an annual rate of up to 0.25%
of net assets attributable to such shares maintained and serviced by the firm. A
firm becomes eligible for the concession based upon assets in accounts
attributable to shares purchased under this privilege in the month after the
month of purchase and the concession continues until terminated by KDI. The
privilege of purchasing Class A shares of the Portfolio
    


40
<PAGE>

   
at net asset value under this privilege is not available if another net asset
value purchase privilege also applies.

Class A shares of the Portfolios may be purchased at net asset value in any
amount by certain professionals who assist in the promotion of Kemper Funds
pursuant to personal services contracts with KDI, for themselves or members of
their families. KDI in its discretion may compensate financial services firms
for sales of Class A shares under this privilege at a commission rate of 0.50%
of the amount of Class A shares purchased.

Class A shares may be sold at net asset value in any amount to: (a) officers,
trustees, directors, employees (including retirees) and sales representatives of
each Portfolio, its investment manager, its principal underwriter or certain
affiliated companies, for themselves or members of their families; (b)
registered representatives and employees of broker-dealers having selling group
agreements with KDI and officers, directors and employees of service agents of
the Portfolios for themselves or their spouses or dependent children; (c)
shareholders who owned shares of Kemper Value Series, Inc. ("KVS") on September
8, 1995, and have continuously owned shares of KVS (or a Kemper Fund acquired by
exchange of KVS shares) since that date, for themselves or members of their
families; and (d) any trust, pension, profit-sharing or other benefit plan for
only such persons. Class A shares may be sold at net asset value in any amount
to selected employees (including their spouses and dependent children) of banks
and other financial services firms that provide administrative services related
to order placement and payment to facilitate transactions in shares of the
Portfolios for their clients pursuant to an agreement with KDI or one of its
affiliates. Only those employees of such banks and other firms who as part of
their usual duties provide services related to transactions in Portfolio shares
may purchase Class A shares at net asset value hereunder. Class A shares may be
sold at net asset value in any amount to unit investment trusts sponsored by
Ranson & Associates, Inc. In addition, unitholders of unit investment trusts
sponsored by Ranson & Associates, Inc. or its predecessors may purchase Class A
shares at net asset value through reinvestment programs described in the
prospectuses of such trusts that have such programs. Shares of the Portfolios
may be purchased at net asset value by certain investment advisers registered
under the Investment Advisers Act of 1940 and other financial services firms,
acting solely as agent for their clients, that adhere to certain standards
established by KDI, including a requirement that such shares be purchased for
the benefit of their clients participating in an investment advisory program or
agency commission program under which such clients pay a fee to the investment
adviser or other firm for portfolio management or agency brokerage services.
Such shares are sold for investment purposes and on the condition that they will
not be resold except through redemption or repurchase by the Portfolios. The
Portfolios may also issue Class A shares at net asset value in connection with
the acquisition of the assets of or merger or consolidation with another
investment company, or to shareholders in connection with the investment or
reinvestment of income and capital gain dividends.
    


                                                                              41
<PAGE>

   
Class A shares of the Portfolios may be purchased at net asset value by persons
who purchase such shares through bank trust departments that process such trades
through an automated, integrated mutual fund clearing program provided by a
third party clearing firm.

Class A shares of the Portfolios may be purchased at net asset value by persons
who purchase shares of the Fund through KDI as part of an automated billing and
wage deduction program administered by RewardsPlus of America for the benefit of
employees of participating employer groups.
    

The sales charge scale is applicable to purchases made at one time by any
"purchaser" which includes: an individual; or an individual, his or her spouse
and children under the age of 21; or a trustee or other fiduciary of a single
trust estate or single fiduciary account; or an organization exempt from federal
income tax under Section 501(c)(3) or (13) of the Code; or a pension,
profit-sharing or other employee benefit plan whether or not qualified under
Section 401 of the Code; or other organized group of persons whether
incorporated or not, provided the organization has been in existence for at
least six months and has some purpose other than the purchase of redeemable
securities of a registered investment company at a discount. In order to qualify
for a lower sales charge, all orders from an organized group will have to be
placed through a single investment dealer or other firm and identified as
originating from a qualifying purchaser.

DEFERRED SALES CHARGE ALTERNATIVE -- CLASS B SHARES. Investors choosing the
deferred sales charge alternative may purchase Class B shares at net asset value
per share without any sales charge at the time of purchase. Since Class B shares
are being sold without an initial sales charge, the full amount of the
investor's purchase payment will be invested in Class B shares for his or her
account. A contingent deferred sales charge may be imposed upon redemption of
Class B shares. See "Redemption or Repurchase of Shares -- Contingent Deferred
Sales Charge -- Class B Shares."

   
KDI compensates firms for sales of Class B shares at the time of sale at a
commission rate of up to 3.75% of the amount of Class B shares purchased. KDI is
compensated by the Fund for services as distributor and principal underwriter
for Class B shares. See "Investment Manager and Underwriter."

Class B shares of a Portfolio will automatically convert to Class A shares of
the same Portfolio six years after issuance on the basis of the relative net
asset value per share. Class B shareholders who originally acquired their shares
as Initial Shares of Kemper Portfolios, formerly known as Kemper Investment
Portfolios ("KIP"), hold them subject to the same conversion period schedule as
that of their KIP Portfolio. Class B shares representing Initial Shares of a
former KIP Portfolio will automatically convert to Class A shares of the
applicable Portfolio six years after issuance of the Initial Shares for shares
issued on or after February 1, 1991 and seven years after issuance of the
Initial Shares for shares issued before February 1, 1991. The purpose of the
conversion feature is to relieve holders of Class B shares from the distribution
services fee when they
    


42
<PAGE>

   
have been outstanding long enough for KDI to have been compensated for
distribution related expenses. For purposes of conversion to Class A shares,
shares purchased through the reinvestment of dividends and other distributions
paid with respect to Class B shares in a shareholder's account will be converted
to Class A shares on a pro rata basis.

PURCHASE OF CLASS C SHARES. The public offering price of the Class C shares of a
Portfolio is the next determined net asset value. No initial sales charge is
imposed. Since Class C shares are sold without an initial sales charge, the full
amount of the investor's purchase payment will be invested in Class C shares for
his or her account. A contingent deferred sales charge may be imposed upon
redemption of Class C shares within one year of purchase. See "Redemption or
Repurchase of Shares -- Contingent Deferred Sales Charge -- Class C Shares." KDI
currently advances to firms the first year distribution fee at a rate of 0.75%
of the purchase price of such shares. For periods after the first year, KDI
currently intends to pay firms for sales of Class C shares a distribution fee,
payable quarterly, at an annual rate of 0.75% of net assets attributable to
Class C shares maintained and serviced by the firm. KDI is compensated by the
Fund for services as distributor and principal underwriter for Class C shares.
See "Investment Manager and Underwriter."
    

WHICH ARRANGEMENT IS BETTER FOR YOU? The decision as to which class of shares
provides a more suitable investment for an investor depends on a number of
factors, including the amount and intended length of the investment. Investors
making investments that qualify for reduced sales charges might consider Class A
shares. Investors who prefer not to pay an initial sales charge and who plan to
hold their investment for more than six years might consider Class B shares.
Investors who prefer not to pay an initial sales charge but who plan to redeem
their shares within six years might consider Class C shares. Orders for Class B
shares or Class C shares for $500,000 or more will be declined. Orders for Class
B shares or Class C shares by employer sponsored employee benefit plans using
the subaccount record keeping system made available through the Shareholder
Service Agent will be invested instead in Class A shares at net asset value
where the combined subaccount value in a Portfolio or other Kemper Mutual Funds
listed under "Special Features -- Class A Shares -- Combined Purchases" is in
excess of $5 million including purchases pursuant to the "Combined Purchases,"
"Letter of Intent" and "Cumulative Discount" features described under "Special
Features." For more information about the three sales arrangements, consult your
financial representative or the Shareholder Service Agent. Financial services
firms may receive different compensation depending upon which class of shares
they sell.

GENERAL. Banks and other financial services firms may provide administrative
services related to order placement and payment to facilitate transactions in
shares of a Portfolio for their clients, and KDI may pay them a transaction fee
up to the level of the discount or commission allowable or payable to dealers,
as described above. Banks are currently prohibited under the Glass-Steagall Act
from providing certain underwriting or distribution services.


                                                                              43
<PAGE>

   
Banks or other financial services firms may be subject to various state laws
regarding the services described above and may be required to register as
dealers pursuant to state law. If banking firms were prohibited from acting in
any capacity or providing any of the described services, management would
consider what action, if any, would be appropriate. KDI does not believe that
termination of a relationship with a bank would result in any material adverse
consequences to any Portfolio.

KDI may, from time to time, pay or allow to firms a 1% commission on the amount
of shares of a Fund sold by the firm under the following conditions: (i) the
purchased shares are held in a Kemper IRA account, (ii) the shares are purchased
as a direct "roll over" of a distribution from a qualified retirement plan
account maintained on a participant subaccount record keeping system provided by
KSvC, (iii) the registered representative placing the trade is a member of
ProStar, a group of persons designated by KDI in acknowledgment of their
dedication to the employee benefit plan area and (iv) the purchase is not
otherwise subject to a commission.

In addition to the discounts or commissions described above, KDI will, from time
to time, pay or allow additional discounts, commissions or promotional
incentives, in the form of cash or other compensation, to firms that sell shares
of the Fund. Non cash compensation includes luxury merchandise and trips to
luxury resorts. In some instances, such discounts, commissions or other
incentives will be offered only to certain firms that sell or are expected to
sell during specified time periods certain minimum amounts of shares of the
Fund, or other funds underwritten by KDI.

Orders for the purchase of shares of a Portfolio will be confirmed at a price
based on the net asset value of that Portfolio next determined after receipt by
KDI of the order accompanied by payment. However, orders received by dealers or
other financial services firms prior to the determination of net asset value
(see "Net Asset Value") and received by KDI prior to the close of its business
day will be confirmed at a price based on the net asset value effective on that
day ("trade date"). The Fund reserves the right to determine the net asset value
more frequently than once a day if deemed desirable. Dealers and other financial
services firms are obligated to transmit orders promptly. Collection may take
significantly longer for a check drawn on a foreign bank than for a check drawn
on a domestic bank. Therefore, if an order is accompanied by a check drawn on a
foreign bank, funds must normally be collected before shares will be purchased.
See "Purchase and Redemption of Shares" in the Statement of Additional
Information.

Investment dealers and other firms provide varying arrangements for their
clients to purchase and redeem the Fund's shares. Some may establish higher
minimum investment requirements than set forth above. Firms may arrange with
their clients for other investment or administrative services. Such firms may
independently establish and charge additional amounts to their clients for such
services, which charges would reduce the clients' return. Firms also may hold
the Fund's shares in nominee or street name as agent for and on behalf of
    


44
<PAGE>

   
their customers. In such instances, the Fund's transfer agent will have no
information with respect to or control over the accounts of specific
shareholders. Such shareholders may obtain access to their accounts and
information about their accounts only from their firm. Certain of these firms
may receive compensation from the Fund through the Shareholder Service Agent for
recordkeeping and other expenses relating to these nominee accounts. In
addition, certain privileges with respect to the purchase and redemption of
shares or the reinvestment of dividends may not be available through such firms.
Some firms may participate in a program allowing them access to their clients'
accounts for servicing including, without limitation, transfers of registration
and dividend payee changes; and may perform functions such as generation of
confirmation statements and disbursement of cash dividends. Such firms,
including affiliates of KDI, may receive compensation from the Fund through the
Shareholder Service Agent for these services. This prospectus should be read in
connection with such firms' material regarding their fees and services.
    

The Fund reserves the right to withdraw all or any part of the offering made by
this prospectus and to reject purchase orders. Also, from time to time, the Fund
may temporarily suspend the offering of any class of its shares of a Portfolio
to new investors. During the period of such suspension, persons who are already
shareholders of such class of such Portfolio normally are permitted to continue
to purchase additional shares of such class and to have dividends reinvested.

   
Shareholders should direct their inquiries to KSvC, 811 Main Street, Kansas
City, Missouri 64105-2005 or to the firm from which they received this
prospectus.
    

REDEMPTION OR REPURCHASE OF SHARES

GENERAL. Any shareholder may require the Fund to redeem his or her shares. When
shares are held for the account of a shareholder by the Fund's transfer agent,
the shareholder may redeem them by sending a written request with signatures
guaranteed to Kemper Funds, Attention: Redemption Department, P.O. Box 419557,
Kansas City, Missouri 64141-6557. When certificates for shares have been issued,
they must be mailed to or deposited with the Shareholder Service Agent, along
with a duly endorsed stock power and accompanied by a written request for
redemption. Redemption requests and a stock power must be endorsed by the
account holder with signatures guaranteed by a commercial bank, trust company,
savings and loan association, federal savings bank, member firm of a national
securities exchange or other eligible financial institution. The redemption
request and stock power must be signed exactly as the account is registered
including any special capacity of the registered owner. Additional documentation
may be requested, and a signature guarantee is normally required, from
institutional and fiduciary account holders, such as corporations, custodians
(e.g. under the Uniform Transfers to Minors Act), executors, administrators,
trustees or guardians.


                                                                              45
<PAGE>

The redemption price for shares of a Portfolio will be the net asset value per
share of that Portfolio next determined following receipt by the Shareholder
Service Agent of a properly executed request with any required documents as
described above. Payment for shares redeemed will be made in cash as promptly as
practicable but in no event later than seven days after receipt of a properly
executed request accompanied by any outstanding share certificates in proper
form for transfer. When the Fund is asked to redeem shares for which it may not
have yet received good payment (i.e., purchases by check, Express-Transfer or
Bank Direct Deposit), it may delay transmittal of redemption proceeds until it
has determined that collected funds have been received for the purchase of such
shares, which will be up to 10 days from receipt by the Fund of the purchase
amount. The redemption within two years of Class A shares purchased at net asset
value under the Large Order NAV Purchase Privilege may be subject to a
contingent deferred sales charge (see "Purchase of Shares -- Initial Sales
Charge Alternative -- Class A Shares") and the redemption of Class B shares
within six years may be subject to a contingent deferred sales charge (see
"Contingent Deferred Sales Charge -- Class B Shares" below), and the redemption
of Class C shares within the first year following purchase may be subject to a
contingent deferred sales charge (see "Contingent Deferred Sales Charge -- Class
C Shares" below).

   
Because of the high cost of maintaining small accounts, the Fund may assess a
quarterly fee of $9 on an account with a balance below $1,000 for the quarter.
The fee will not apply to accounts enrolled in an automatic investment program,
Individual Retirement Accounts or employer sponsored employee benefit plans
using the subaccount record keeping system made available through the
Shareholder Service Agent.
    

Shareholders can request the following telephone privileges: expedited wire
transfer redemptions and EXPRESS-Transfer transactions (see "Special Features")
and exchange transactions for individual and institutional accounts and
pre-authorized telephone redemption transactions for certain institutional
accounts. Shareholders may choose these privileges on the account application or
by contacting the Shareholder Service Agent for appropriate instructions. Please
note that the telephone exchange privilege is automatic unless the shareholder
refuses it on the account application. A Fund or its agents may be liable for
any losses, expenses or costs arising out of fraudulent or unauthorized
telephone requests pursuant to these privileges unless the Fund or its agents
reasonably believe, based upon reasonable verification procedures, that the
telephonic instructions are genuine. The shareholder will bear the risk of loss,
including loss resulting from fraudulent or unauthorized transactions, so long
as reasonable verification procedures are followed. Verification procedures
include recording instructions, requiring certain identifying information before
acting upon instructions and sending written confirmations.

TELEPHONE REDEMPTIONS. If the proceeds of the redemption (prior to the
imposition of any applicable contingent deferred sales charge) are $50,000 or
less and the proceeds are payable to the shareholder of record at the address of


46
<PAGE>

record, normally a telephone request or a written request by any one account
holder without a signature guarantee is sufficient for redemptions by individual
or joint account holders, and trust, executor, guardian and custodian account
holders, provided the trustee, executor, guardian or custodian is named in the
account registration. Other institutional account holders may exercise this
special privilege of redeeming shares by telephone request or written request
without signature guarantee subject to the same conditions as individual account
holders and subject to the limitations on liability described under "General"
above, provided that this privilege has been pre-authorized by the institutional
account holder account holder by written instruction to the Shareholder Service
Agent with signatures guaranteed. Telephone requests may be made by calling
1-800-621-1048. Shares purchased by check or through EXPRESS-Transfer or Bank
Direct Deposit may not be redeemed under this privilege of redeeming shares by
telephone request until such shares have been owned for at least 10 days. This
privilege of redeeming shares by telephone request or by written request without
a signature guarantee may not be used to redeem shares held in certificated form
and may not be used if the shareholder's account has had an address change
within 30 days of the redemption request. During periods when it is difficult to
contact the Shareholder Service Agent by telephone, it may be difficult to use
the telephone redemption privilege, although investors can still redeem by mail.
The Fund reserves the right to terminate or modify this privilege at any time.

   
REPURCHASES (CONFIRMED REDEMPTIONS). A request for repurchase may be
communicated by a shareholder through a securities dealer or other financial
services firm to KDI, which the Fund has authorized to act as its agent. There
is no charge by KDI with respect to repurchases; however, dealers or other firms
may charge customary commissions for their services. Dealers and other financial
services firms are obligated to transmit orders promptly. The repurchase price
of a Portfolio will be the net asset value of that Portfolio next determined
after receipt of a request by KDI. However, requests for repurchases received by
dealers or other firms prior to the determination of net asset value (see "Net
Asset Value") and received by KDI prior to the close of KDI's business day will
be confirmed at the net asset value effective on that day. The offer to
repurchase may be suspended at any time. Requirements as to stock powers,
certificates, payments and delay of payments are the same as for redemptions.
    

EXPEDITED WIRE TRANSFER REDEMPTIONS. If the account holder has given
authorization for expedited wire redemption to the account holder's brokerage or
bank account, shares of the Fund can be redeemed and proceeds sent by federal
wire transfer to a single previously designated account. Requests received by
the Shareholder Service Agent prior to the determination of net asset value will
result in shares being redeemed that day at the net asset value of the Portfolio
effective on that day and normally the proceeds will be sent to the designated
account the following business day. Delivery of the proceeds of a wire
redemption of $250,000 or more may be delayed by the Fund for up to seven days
if the investment manager deems it appropriate under then current


                                                                              47
<PAGE>

market conditions. Once authorization is on file, the Shareholder Service Agent
will honor requests by telephone at 1-800-621-1048 or in writing, subject to the
limitations on liability described under "General" above. The Fund is not
responsible for the efficiency of the federal wire system or the account
holder's financial services firm or bank. The Fund currently does not charge the
account holder for wire transfers. The account holder is responsible for any
charges imposed by the account holder's firm or bank. There is a $1,000 wire
redemption minimum (including any contingent deferred sales charge). To change
the designated account to receive wire redemption proceeds, send a written
request to the Shareholder Service Agent with signatures guaranteed as described
above or contact the firm through which shares of the Fund were purchased.
Shares purchased by check or through EXPRESS-Transfer or Bank Direct Deposit may
not be redeemed by wire transfer until such shares have been owned for at least
10 days. Account holders may not use this privilege to redeem shares held in
certificated form. During periods when it is difficult to contact the
Shareholder Service Agent by telephone, it may be difficult to use the expedited
wire transfer redemption privilege. The Fund reserves the right to terminate or
modify this privilege at any time.

   
CONTINGENT DEFERRED SALES CHARGE -- LARGE ORDER NAV PURCHASE PRIVILEGE. A
contingent deferred sales charge may be imposed upon redemption of Class A
shares that are purchased under the Large Order NAV Purchase Privilege as
follows: 1% if they are redeemed within one year of purchase and 0.50% if they
are redeemed during the second year following purchase. The charge will not be
imposed upon redemption of reinvested dividends or share appreciation. The
charge is applied to the value of the shares redeemed excluding amounts not
subject to the charge. The contingent deferred sales charge will be waived in
the event of: (a) redemptions by a participant-directed qualified retirement
plan described in Code Section 401(a) or a participant-directed non-qualified
deferred compensation plan described in Code Section 457 or a
participant-directed qualified retirement plan described in Code Section
403(b)(7) which is not sponsored by a K-12 school district; (b) redemptions by
employer sponsored employee benefit plans using the subaccount record keeping
system made available through the Shareholder Service Agent; (c) redemption of
shares of a shareholder (including a registered joint owner) who has died; (d)
redemption of shares of a shareholder (including a registered joint owner) who
after purchase of the shares being redeemed becomes totally disabled (as
evidenced by a determination by the federal Social Security Administration); (e)
redemptions under the Fund's Systematic Withdrawal Plan at a maximum of 10% per
year of the net asset value of the account; and (f) redemptions of shares of a
shareholder whose dealer of record at the time of the investment notifies KDI
that the dealer waives the discretionary commission applicable to such Large
Order NAV Purchase.
    

CONTINGENT DEFERRED SALES CHARGE -- CLASS B SHARES. A contingent deferred sales
charge may be imposed upon redemption of Class B shares. There is no such charge
upon redemption of any share appreciation or


48
<PAGE>

reinvested dividends on Class B shares. The charge is computed at the following
rates applied to the value of the shares redeemed excluding amounts not subject
to the charge.

                                                             Contingent Deferred
Year of Redemption After Purchase                               Sales Charge
- ---------------------------------                               ------------

First ......................................................         4%

Second .....................................................         3%

Third ......................................................         3%

Fourth .....................................................         2%

Fifth ......................................................         2%

Sixth ......................................................         1%

Class B shareholders who originally acquired their shares as Initial Shares of
Kemper Portfolios, formerly known as Kemper Investment Portfolios, hold them
subject to the same CDSC schedule that applied when those shares were purchased,
as follows:

   
                                         Contingent Deferred Sales Charge
                                     ------------------------------------------
                                         Purchased on      Shares Purchased
Year of Redemption                         or after             Before
After Purchase                          March 1, 1993        March 1, 1993
- --------------                          -------------        -------------

First ............................            4%                  3%

Second ...........................            3%                  3%

Third ............................            3%                  2%

Fourth ...........................            2%                  2%

Fifth ............................            2%                  1%

Sixth ............................            1%                  1%
    

The contingent deferred sales charge will be waived: (a) in the event of the
total disability (as evidenced by a determination by the federal Social Security
Administration) of the shareholder (including a registered joint owner)
occurring after the purchase of the shares being redeemed, (b) in the event of
the death of the shareholder (including a registered joint owner), (c) for
redemptions made pursuant to a systematic withdrawal plan (see "Special Features
- -- Systematic Withdrawal Plan" below), (d) for redemptions made pursuant to any
IRA systematic withdrawal based on the shareholder's life expectancy including,
but not limited to, substantially equal periodic payments described in Internal
Revenue Code Section 72(t)(2)(A)(iv) prior to age 59 1/2 and (e) for redemptions
to satisfy required minimum distributions after age 70 1/2 from an IRA account
(with the maximum amount subject to this waiver being based only upon the
shareholder's Kemper IRA accounts). The contingent deferred sales charge will
also be waived in connection with the following redemptions of shares held by
employer sponsored employee benefit plans maintained on the subaccount record
keeping system made available by the Shareholder Service Agent: (a) redemptions
to satisfy participant loan


                                                                              49
<PAGE>

advances (note that loan repayments constitute new purchases for purposes of the
contingent deferred sales charge and the conversion privilege), (b) redemptions
in connection with retirement distributions (limited at any one time to 10% of
the total value of plan assets invested in a Portfolio), (c) redemptions in
connection with distributions qualifying under the hardship provisions of the
Internal Revenue Code and (d) redemptions representing returns of excess
contributions to such plans.

   
CONTINGENT DEFERRED SALES CHARGE -- CLASS C SHARES. A contingent deferred sales
charge of 1% may be imposed upon redemption of Class C shares if they are
redeemed within one year of purchase. The charge will not be imposed upon
redemption of reinvested dividends or share appreciation. The charge is applied
to the value of the shares redeemed excluding amounts not subject to the charge.
The contingent deferred sales charge will be waived (a) in the event of the
total disability (as evidenced by a determination by the federal Social Security
Administration) of the shareholder (including a registered joint owner)
occurring after the purchase of the shares being redeemed, (b) in the event of
the death of the shareholder (including a registered joint owner), (c) for
redemptions made pursuant to a systematic withdrawal plan (limited to 10% of the
net asset value of the account during the first year, see "Special Features --
Systematic Withdrawal Plan"), (d) for redemptions made pursuant to any IRA
systematic withdrawal based on the shareholder's life expectancy including, but
not limited to, substantially equal periodic payments described in Internal
Revenue Code Section 72(t)(2)(A)(iv) prior to age 59 1/2, (e) for redemptions to
satisfy required minimum distributions after age 70 1/2 from an IRA account
(with the maximum amount subject to this waiver being based only upon the
shareholder's Kemper IRA accounts), (f) for any participant-directed redemption
of shares held by employer sponsored employee benefit plans maintained on the
subaccount record keeping system made available by the Shareholder Service
Agent, (g) for redemptions pursuant to an employer sponsored employee benefit
plan that offers funds in addition to Kemper Funds and whose dealer of record
has waived the advance of the first year administrative service and distribution
fees applicable to such shares and agrees to receive such fees quarterly, and
(h) for redemptions pursuant to a dealer-sponsored asset allocation program
maintained on an omnibus record-keeping system provided the dealer of record has
waived the advance of the first year administrative services and distribution
fees applicable to such shares and has agreed to receive such fees quarterly.
    

CONTINGENT DEFERRED SALES CHARGE -- GENERAL. The following example will
illustrate the operation of the contingent deferred sales charge. Assume that an
investor makes a single purchase of $10,000 of Class B shares and that 16 months
later the value of the shares has grown by $1,000 through reinvested dividends
and by an additional $1,000 of share appreciation to a total of $12,000. If the
investor were then to redeem the entire $12,000 in share value, the contingent
deferred sales charge would be payable only with respect to $10,000 because
neither the $1,000 of reinvested dividends nor the $1,000


50
<PAGE>

of share appreciation is subject to the charge. The charge would be at the rate
of 3% ($300) because it was in the second year after the purchase was made.

   
The rate of the contingent deferred sales charge is determined by the length of
the period of ownership. Investments are tracked on a monthly basis. The period
of ownership for this purpose begins the first day of the month in which the
order for the investment is received. In the event no specific order is
requested when redeeming shares subject to a contingent deferred sales charge,
the redemption will be as follows: for Class B shares -- first from shares
representing reinvested dividends and then from the earliest purchase of shares;
for Class C Shares -- first from Class C shares purchased prior to April 1,
1996, then from Class C shares representing reinvested dividends and then from
the earliest purchases of Class C shares made on or after April 1, 1996. KDI
receives any contingent deferred sales charge directly.
    

REINVESTMENT PRIVILEGE. A shareholder who has redeemed Class A shares of the
Fund or any other Kemper Mutual Fund listed under "Special Features -- Class A
Shares -- Combined Purchases" (other than shares of the Kemper Cash Reserves
Fund purchased directly at net asset value) may reinvest up to the full amount
redeemed at net asset value at the time of the reinvestment in Class A shares of
the Fund or of the other listed Kemper Mutual Funds. A shareholder of the Fund
or other Kemper Mutual Fund who redeems Class A shares purchased under the Large
Order NAV Purchase Privilege (see "Purchase of Shares -- Initial Sales Charge
Alternative -- Class A Shares") or Class B shares or Class C shares and incurs a
contingent deferred sales charge may reinvest up to the full amount redeemed at
net asset value at the time of the reinvestment, in Class A shares, Class B
shares or Class C shares, as the case may be, of the Fund or of other Kemper
Mutual Funds. The amount of any contingent deferred sales charge also will be
reinvested. These reinvested shares will retain their original cost and purchase
date for purposes of the contingent deferred sales charge. Also, a holder of
Class B shares who has redeemed shares may reinvest up to the full amount
redeemed, less any applicable contingent deferred sales charge that may have
been imposed upon the redemption of such shares, at net asset value in Class A
shares of the Fund or of the other Kemper Mutual Funds listed under "Special
Features -- Class A Shares -- Combined Purchases." Purchases through the
reinvestment privilege are subject to the minimum investment requirements
applicable to the shares being purchased and may only be made for Kemper Mutual
Funds available for sale in the shareholder's state of residence as listed under
"Special Features -- Exchange Privilege." The reinvestment privilege can be used
only once as to any specific shares and reinvestment must be effected within six
months of the redemption. If a loss is realized on the redemption of shares of a
Portfolio, the reinvestment in shares of the same Portfolio may be subject to
the "wash sale" rules if made within 30 days of the redemption, resulting in a
postponement of the recognition of such loss for federal income tax purposes.
The reinvestment privilege may be terminated or modified at any time.


                                                                              51
<PAGE>

SPECIAL FEATURES

   
CLASS A SHARES -- COMBINED PURCHASES. Class A shares (or the equivalent) may be
purchased at the rate applicable to the discount bracket attained by combining
concurrent investments in Class A shares of any of the following funds: Kemper
Technology Fund, Kemper Total Return Fund, Kemper Growth Fund, Kemper Small
Capitalization Equity Fund, Kemper Income and Capital Preservation Fund, Kemper
Municipal Bond Fund, Kemper Diversified Income Fund, Kemper High Yield Series,
Kemper U.S. Government Securities Fund, Kemper International Fund, Kemper State
Tax-Free Income Series, Kemper Adjustable Rate U.S. Government Fund, Kemper Blue
Chip Fund, Kemper Global Income Fund, Kemper Target Equity Fund (series are
subject to a limited offering period), Kemper Intermediate Municipal Bond Fund,
Kemper Cash Reserves Fund, Kemper U.S. Mortgage Fund, Kemper Short-Intermediate
Government Fund, Kemper Value Plus Growth Fund, Kemper Value Series, Inc.,
Kemper Horizon Fund, Kemper Quantitative Equity Fund, Kemper Europe Fund, Kemper
Asian Growth Fund, Kemper Aggressive Growth Fund, Kemper Global/International
Series, Inc., Kemper U.S. Growth and Income Fund, Kemper-Dreman Financial
Services Fund, Kemper Value Fund, Kemper Classic Growth Fund, Kemper Small Cap
Relative Value Fund and Kemper Global Discovery Fund ("Kemper Mutual Funds").
Except as noted below, there is no combined purchase credit for direct purchases
of shares of Zurich Money Funds, Zurich YieldWise Funds, Cash Equivalent Fund,
Tax-Exempt California Money Market Fund, Cash Account Trust, Investors Municipal
Cash Fund or Investors Cash Trust ("Money Market Funds"), which are not
considered "Kemper Mutual Funds" for purposes hereof. For purposes of the
Combined Purchases feature described above as well as for the Letter of Intent
and Cumulative Discount features described below, employer sponsored employee
benefit plans using the subaccount record keeping system made available through
the Shareholder Service Agent may include: (a) Money Market Funds as "Kemper
Mutual Funds", (b) all classes of shares of any Kemper Mutual Fund and (c) the
value of any other plan investment, such as guaranteed investment contracts and
employer stock, maintained on such subaccount record keeping system.

CLASS A SHARES -- LETTER OF INTENT. The same reduced sales charges for Class A
shares, as shown in the applicable prospectus, also apply to the aggregate
amount of purchases of such Kemper Mutual Funds listed above made by any
purchaser within a 24-month period under a written Letter of Intent ("Letter")
provided by KDI. The Letter, which imposes no obligation to purchase or sell
additional Class A shares, provides for a price adjustment depending upon the
actual amount purchased within such period. The Letter provides that the first
purchase following execution of the Letter must be at least 5% of the amount of
the intended purchase, and that 5% of the amount of the intended purchase
normally will be held in escrow in the form of shares pending completion of the
intended purchase. If the total investments under the Letter are less than the
intended amount and thereby qualify only for a higher sales
    


52
<PAGE>

   
charge than actually paid, the appropriate number of escrowed shares are
redeemed and the proceeds used toward satisfaction of the obligation to pay the
increased sales charge. The Letter for an employer sponsored employee benefit
plan maintained on the subaccount record keeping system available through the
Shareholder Service Agent may have special provisions regarding payment of any
increased sales charge resulting from a failure to complete the intended
purchase under the Letter. A shareholder may include the value (at the maximum
offering price) of all shares of such Kemper Mutual Funds held of record as of
the initial purchase date under the Letter as an "accumulation credit" toward
the completion of the Letter, but no price adjustment will be made on such
shares. Only investments in Class A shares are included in this privilege.

CLASS A SHARES -- CUMULATIVE DISCOUNT. Class A shares may also be purchased at
the rate applicable to the discount bracket attained by adding to the cost of
shares of the Portfolio being purchased, the value of all Class A shares of the
above mentioned Kemper Mutual Funds (computed at the maximum offering price at
the time of the purchase for which the discount is applicable) already owned by
the investor.

CLASS A SHARES -- AVAILABILITY OF QUANTITY DISCOUNTS. An investor or the
investor's dealer or other financial services firm must notify the Shareholder
Service Agent or KDI whenever a quantity discount or reduced sales charge is
applicable to a purchase. Upon such notification, the investor will receive the
lowest applicable sales charge. Quantity discounts described above may be
modified or terminated at any time.
    

EXCHANGE PRIVILEGE. Shareholders of Class A, Class B and Class C shares may
exchange their shares for shares of the corresponding class of other Kemper
Mutual Funds in accordance with the provisions below.

   
Class A Shares. Class A shares of the Kemper Mutual Funds and shares of the
Money Market Funds listed under "Special Features -- Class A Shares -- Combined
Purchases" above may be exchanged for each other at their relative net asset
values. Shares of Money Market Funds and the Kemper Cash Reserves Fund that were
acquired by purchase (not including shares acquired by dividend reinvestment)
are subject to the applicable sales charge on exchange. Series of Kemper Target
Equity Fund are available on exchange only during the Offering Period for such
series as described in the applicable prospectus. Cash Equivalent Fund,
Tax-Exempt California Money Market Fund, Cash Account Trust, Investors Municipal
Cash Fund and Investors Cash Trust are available on exchange but only through a
financial services firm having a services agreement with KDI.
    

Class A shares purchased under the Large Order NAV Purchase Privilege may be
exchanged for Class A shares of another Kemper Mutual Fund or a Money Market
Fund under the exchange privilege described above without paying any contingent
deferred sales charge at the time of exchange. If the Class A shares received on
exchange are redeemed thereafter, a contingent deferred sales


                                                                              53
<PAGE>

charge may be imposed in accordance with the foregoing requirements provided
that the shares redeemed will retain their original cost and purchase date for
purposes of the contingent deferred sales charge.

Class B Shares. Class B shares of the Fund and Class B shares of any other
Kemper Mutual Fund listed under "Special Features -- Class A Shares -- Combined
Purchases" may be exchanged for each other at their relative net asset values.
Class B shares may be exchanged without a contingent deferred sales charge being
imposed at the time of exchange. For purposes of the contingent deferred sales
charge that may be imposed upon the redemption of the Class B shares received on
exchange, amounts exchanged retain their original cost and purchase date.

Class C Shares. Class C shares of the Fund and Class C shares of any other
Kemper Mutual Fund listed under "Special Features -- Class A Shares -- Combined
Purchases" may be exchanged for each other at their relative net asset values.
Class C shares may be exchanged without a contingent deferred sales charge being
imposed at the time of exchange. For determining whether there is a contingent
deferred sales charge that may be imposed upon the redemption of the Class C
shares received by exchange, they retain the cost and purchase date of the
shares that were originally purchased and exchanged.

   
General. Shares of a Kemper Mutual Fund with a value in excess of $1,000,000
(except Kemper Cash Reserves Fund) acquired by exchange from another Kemper
Mutual Fund, or from a Money Market Fund, may not be exchanged thereafter until
they have been owned for 15 days (the "15 Day Hold Policy"). For purposes of
determining whether the 15 Day Hold Policy applies to a particular exchange, the
value of the shares to be exchanged shall be computed by aggregating the value
of shares being exchanged for all accounts under common control, direction, or
advice, including without limitation, accounts administered by a financial
services firm offering market timing, asset allocation or similar services. The
total value of shares being exchanged must at least equal the minimum investment
requirement of the Kemper Fund into which they are being exchanged. Exchanges
are made based on relative dollar values of the shares involved in the exchange.
There is no service fee for an exchange; however, dealers or other firms may
charge for their services in effecting exchange transactions. Exchanges will be
effected by redemption of shares of the fund held and purchase of shares of the
other fund. For federal income tax purposes, any such exchange constitutes a
sale upon which a gain or loss may be realized, depending upon whether the value
of the shares being exchanged is more or less than the shareholder's adjusted
cost basis of such shares. Shareholders interested in exercising the exchange
privilege may obtain prospectuses of the other funds from dealers, other firms
or KDI. Exchanges may be accomplished by a written request to KSvC, Attention:
Exchange Department, P.O. Box 419557, Kansas City, Missouri 64141-6557, or by
telephone if the shareholder has given authorization. Once the authorization is
on file, the Shareholder Service Agent will honor requests by telephone at
1-800-621-1048, subject to the limitations on liability under "Redemption or
    


54
<PAGE>

   
Repurchase of Shares -- General." Any share certificates must be deposited prior
to any exchange of such shares. During periods when it is difficult to contact
the Shareholder Service Agent by telephone, it may be difficult to use the
telephone exchange privilege. The exchange privilege is not a right and may be
suspended, terminated or modified at any time. Exchanges may only be made for
funds that are available for sale in the shareholder's state of residence.
Currently, Tax-Exempt California Money Market Fund is available for sale only in
California and Investors Municipal Cash Fund is available for sale only in
certain states.
    

SYSTEMATIC EXCHANGE PRIVILEGE. The owner of $1,000 or more of any class of the
shares of a Kemper Mutual Fund or Money Market Fund may authorize the automatic
exchange of a specified amount ($100 minimum) of such shares for shares of the
same class of another such Kemper Fund. If selected, exchanges will be made
automatically until the privilege is terminated by the shareholder or the Kemper
Fund. Exchanges are subject to the terms and conditions described above under
"Exchange Privilege," except that the $1,000 minimum investment requirement for
the Kemper Fund acquired on exchange is not applicable. This privilege may not
be used for the exchange of shares held in certificated form.

   
EXPRESS-TRANSFER. EXPRESS-Transfer permits the transfer of money via the
Automated Clearing House System (minimum $100 and maximum $50,000 from a
shareholder's bank, savings and loan, or credit union account to purchase shares
of the Fund. Shareholders can also redeem shares (minimum $100 and maximum
$50,000) from their Fund account and transfer the proceeds to their bank,
savings and loan, or credit union checking account. Shares purchased by check or
through EXPRESS-Transfer or Bank Direct Deposit may not be redeemed under this
privilege until such shares have been owned for at least 10 days. By enrolling
in EXPRESS-Transfer, the shareholder authorizes the Shareholder Service Agent to
rely upon telephone instructions from any person to transfer the specified
amounts between the shareholder's Fund account and the predesignated bank,
savings and loan or credit union account, subject to the limitations on
liability under "Redemption or Repurchase of Shares -- General." Once enrolled
in EXPRESS-Transfer, a shareholder can initiate a transaction by calling
Shareholder Services toll free at 1-800-621-1048 Monday through Friday, 8:00
a.m. to 3:00 p.m. Chicago time. Shareholders may terminate this privilege by
sending written notice to KSvC, P.O. Box 419415, Kansas City, Missouri
64141-6415. Termination will become effective as soon as the Shareholder Service
Agent has had a reasonable time to act upon the request. EXPRESS-Transfer cannot
be used with passbook savings accounts or for tax-deferred plans such as
Individual Retirement Accounts ("IRAs").

BANK DIRECT DEPOSIT. A shareholder may purchase additional shares of the Fund
through an automatic investment program. With the Bank Direct Deposit Purchase
Plan, investments are made automatically from the shareholder's account at a
bank, savings and loan or credit union into the
    


                                                                              55
<PAGE>

   
shareholder's Fund account. By enrolling in Bank Direct Deposit, the shareholder
authorizes the Fund and its agents to either draw checks or initiate Automated
Clearing House debits against the designated account at a bank or other
financial institution. This privilege may be selected by completing the
appropriate section on the Account Application or by contacting the Shareholder
Service Agent for appropriate forms. A shareholder may terminate his or her Plan
by sending written notice to KSvC, P.O. Box 419415, Kansas City, Missouri
64141-6415. Termination by a shareholder will become effective within thirty
days after the Shareholder Service Agent has received the request. The Fund may
immediately terminate a shareholder's Plan in the event that any item is unpaid
by the shareholder's financial institution. The Fund may terminate or modify
this privilege at any time.
    

PAYROLL DIRECT DEPOSIT AND GOVERNMENT DIRECT DEPOSIT. A shareholder may invest
in the Fund through Payroll Direct Deposit or Government Direct Deposit. Under
these programs, all or a portion of a shareholder's net pay or government check
is automatically invested in a Portfolio each payment period. A shareholder may
terminate participation in these programs by giving written notice to the
shareholder's employer or government agency, as appropriate. (A reasonable time
to act is required.) The Fund is not responsible for the efficiency of the
employer or government agency making the payment or any financial institutions
transmitting payments.

SYSTEMATIC WITHDRAWAL PLAN. The owner of $5,000 or more of a class of a
Portfolio's shares at the offering price (net asset value plus, in the case of
Class A shares, the initial sales charge) may provide for the payment from the
owner's account of any requested dollar amount to be paid to the owner or a
designated payee monthly, quarterly, semiannually or annually. The $5,000
minimum account size is not applicable to Individual Retirement Accounts. The
minimum periodic payment is $100. The maximum annual rate at which Class B
shares may be redeemed (and Class A shares purchased under the Large Order NAV
Purchase Privilege and Class C shares in the first year following the purchase)
under a systematic withdrawal plan is 10% of the net asset value of the account.
Shares are redeemed so that the payee will receive payment approximately the
first of the month. Any income and capital gain dividends will be automatically
reinvested at net asset value. A sufficient number of full and fractional shares
will be redeemed to make the designated payment. Depending upon the size of the
payments requested and fluctuations in the net asset value of the shares
redeemed, redemptions for the purpose of making such payments may reduce or even
exhaust the account.

   
The purchase of Class A shares while participating in a systematic withdrawal
plan will ordinarily be disadvantageous to the investor because the investor
will be paying a sales charge on the purchase of shares at the same time that
the investor is redeeming shares upon which a sales charge may have already been
paid. Therefore, the Fund will not knowingly permit additional investments of
less than $2,000 if the investor is at the same time making systematic
withdrawals. KDI will waive the contingent deferred sales charge on
    


56
<PAGE>

   
redemptions of Class A shares purchased under the Large Order NAV Purchase
Privilege, Class B shares and Class C shares made pursuant to a systematic
withdrawal plan. The right is reserved to amend the systematic withdrawal plan
on 30 days' notice. The plan may be terminated at any time by the investor or
the Fund.

TAX-SHELTERED RETIREMENT PLANS. The Shareholder Service Agent provides
retirement plan services and documents and KDI can establish investor accounts
in any of the following types of retirement plans:
    

o    Individual Retirement Accounts ("IRAs") with IFTC as custodian. This
     includes Savings Incentive Match Plan for Employees of Small Employers
     ("SIMPLE"), IRA accounts and Simplified Employee Pension Plan ("SEP") IRA
     accounts and prototype documents.

o    403(b)(7) Custodial Accounts also with IFTC as custodian. This type of plan
     is available to employees of most non-profit organizations.

o    Prototype money purchase pension and profit-sharing plans may be adopted by
     employers. The maximum annual contribution per participant is the lesser of
     25% of compensation or $30,000.

Brochures describing the above plans as well as model defined benefit plans,
target benefit plans, 457 plans, 401(k) plans, SIMPLE 401(k) plans and materials
for establishing them are available from the Shareholder Service Agent upon
request. The brochures for plans with IFTC as custodian, describe the current
fees payable to IFTC for its services as custodian. Investors should consult
with their own tax advisers before establishing a retirement plan.

PERFORMANCE

The Fund may advertise several types of performance information for each
Portfolio and each class of shares of each Portfolio, including "average annual
total return" and "total return." Performance information will be computed
separately for Class A, Class B and Class C shares. Each of these figures is
based upon historical results and is not representative of the future
performance of any class of any Portfolio. Average annual total return and total
return figures measure both the net investment income generated by, and the
effect of any realized and unrealized appreciation or depreciation of, the
underlying investments held by a portfolio for the period referenced, assuming
the reinvestment of all dividends. Thus, these figures reflect the change in the
value of an investment in a Portfolio during a specified period. Average annual
total return will be quoted for at least the one, five and ten year periods
ending on a recent calendar quarter (or if such periods have not yet elapsed, at
the end of a shorter period corresponding to the life of the Portfolio for
performance purposes). Average annual total return figures represent the average
annual percentage change over the period in question. Total return figures
represent the aggregate percentage or dollar value change over the period in
question.

A Portfolio's performance may be compared to that of the Consumer Price Index or
various unmanaged equity indexes including, but not limited to, the


                                                                              57
<PAGE>

Dow Jones Industrial Average, the Standard & Poor's 500 Stock Index, the Russell
1000(R) Growth Index, the Wilshire Large Company Growth Index, the Wilshire 750
Mid Cap Company Growth Index, the Standard & Poor's/Barra Value Index, Standard
& Poor's/Barra Growth Index and the Russell 1000(R) Value Index. The performance
of a Portfolio may also be compared to the combined performance of several
indexes. The performance of a Portfolio may also be compared to the performance
of other mutual funds or mutual fund indexes with similar objectives and
policies as reported by independent mutual fund reporting services such as
Lipper Analytical Services, Inc. ("Lipper"). Lipper performance calculations are
based upon changes in net asset value with all dividends reinvested and do not
include the effect of any sales charges.

Information may be quoted from publications such as Morningstar, Inc., The Wall
Street Journal, Money Magazine, Forbes, Barron's, Fortune, The Chicago Tribune,
USA Today, Institutional Investor and Registered Representative. Also, investors
may want to compare the historical returns of various investments, performance
indexes of those investments or economic indicators, including but not limited
to stocks, bonds, certificates of deposit, money market funds and U.S. Treasury
obligations. Bank product performance may be based upon, among other things, the
BANK RATE MONITOR National IndexTM or various certificate of deposit indexes.
Money market fund performance may be based upon, among other things, the
IBC/Donoghue's Money Fund Report(R) or Money Market Insight(R), reporting
services on money market funds. Performance of U.S. Treasury obligations may be
based upon, among other things, various U.S. Treasury bill indexes. Certain of
these alternative investments may offer fixed rates of return and guaranteed
principal and may be insured.

The Fund may depict the historical performance of the securities in which the
Portfolios may invest over periods reflecting a variety of market or economic
conditions either alone or in comparison with alternative investments,
performance indexes of those investments or economic indicators. The Fund may
also describe each Portfolio's holdings and depict their size or relative size
compared to other mutual funds, the number and make-up of its shareholder base
and other descriptive factors concerning the Portfolios. The relative
performance of growth stocks versus value stocks may also be discussed.

Class A shares are sold at net asset value plus a maximum sales charge of 5.75%
of the offering price. While the maximum sales charge is normally reflected in a
Portfolio's Class A performance figures, certain total return calculations may
not include such charge and those results would be reduced if it were included.
Class B shares and Class C shares are sold at net asset value. Redemptions of
Class B shares within the first six years after purchase may be subject to a
contingent deferred sales charge that ranges from 4% during the first year to 0%
after six years. Redemption of Class C shares within the first year after
purchase may be subject to a 1% contingent deferred sales charge. Average annual
total return figures do, and total return figures may, include the effect of the
contingent deferred sales charge for the Class B shares and Class C shares


58
<PAGE>

that may be imposed at the end of the period in question. Performance figures
for the Class B shares and Class C shares not including the effect of the
applicable contingent deferred sales charge would be reduced if it were
included.

Each Portfolio's returns and net asset value will fluctuate. Shares of each
Portfolio are redeemable by an investor at the then current net asset value,
which may be more or less than original cost. Redemption of Class B shares and
Class C shares may be subject to a contingent deferred sales charge as described
above. Additional information concerning each Portfolio's performance appears in
the Statement of Additional Information. Additional information about each
Portfolio's performance also appears in its Annual Report to Shareholders, which
is available without charge from the Fund.

CAPITAL STRUCTURE

The Fund is an open-end management investment company, organized as a business
trust under the laws of Massachusetts.

   
The Fund may issue an unlimited number of shares of beneficial interest in one
or more series or "Portfolios," all having no par value, which may be divided by
the Board of Trustees into classes of shares. Currently, the Fund offers three
Portfolios each with four classes of shares. These are Class A, Class B and
Class C shares, as well as Class I shares. Class I shares are available for
purchase exclusively by the following categories of institutional investors: (1)
tax-exempt retirement plans (Profit Sharing, 401(k), Money Purchase Pension and
Defined Benefit Plans) of Scudder Kemper Investments, Inc. ("Scudder Kemper")
and its affiliates and rollover accounts from those plans; (2) the following
investment advisory clients of Scudder Kemper and its investment advisory
affiliates that invest at least $1 million in a Fund: unaffiliated benefit
plans, such as qualified retirement plans (other than individual retirement
accounts and self-directed retirement plans); unaffiliated banks and insurance
companies purchasing for their own accounts; and endowment funds of unaffiliated
non-profit organizations; (3) investment-only accounts for large qualified
plans, with at least $50 million in total plan assets or at least 1000
participants; (4) trust and fiduciary accounts of trust companies and bank trust
departments providing fee based advisory services that invest at least $1
million in a Fund on behalf of each trust; and (5) policy holders under
Zurich-American Insurance Group's collateral investment program investing at
least $200,000 in a Fund. Class I shares currently are available for purchase
only from Kemper Distributors, Inc. ("KDI"), principal underwriter for the Fund,
and, in the case of category 4 above, selected dealers authorized by KDI. Share
certificates are not available for Class I shares

The Board of Trustees may authorize the issuance of additional classes and
additional Portfolios if deemed desirable, each with its own investment
objectives, policies and restrictions. Since the Fund may offer multiple
Portfolios, it is known as a "series company." Shares of the Fund have equal
    


                                                                              59
<PAGE>

   
noncumulative voting rights except that Class B and Class C shares have separate
and exclusive voting rights with respect to the Rule 12b-1 Plan. Shares of each
class also have equal rights with respect to dividends, assets and liquidation
of a Portfolio subject to any preferences (such as resulting from different Rule
12b-1 distribution fees), rights or privileges of any classes of shares of the
Portfolio. Shares of each Portfolio are fully paid and nonassessable when
issued, are transferable without restriction and have no preemptive or
conversion rights. The Fund is not required to hold annual shareholder meetings
and does not intend to do so. However, it will hold special meetings as required
or deemed desirable for such purposes as electing trustees, changing fundamental
policies or approving an investment management agreement. Subject to the
Agreement and Declaration of Trust of the Fund, shareholders may remove
trustees. Shareholders will vote by Portfolio and not in the aggregate or by
class except when voting in the aggregate is required, under the Investment
Company Act of 1940, such as for the election of trustees or when voting by
class is appropriate.

The Kemper 5 Portfolio and Kemper Horizon 20+ Portfolio may in the future seek
to achieve their respective investment objectives by pooling their assets with
assets of other mutual funds for investment in another investment company having
the same investment objective and substantially the same investment policies and
restrictions as such Portfolios. The purpose of such an arrangement is to
achieve greater operational efficiencies and to reduce costs. It is expected
that any such investment company will be managed by Scudder Kemper in
substantially the same manner as the corresponding Portfolios. Shareholders of
each Portfolio will be given at least 30 days' prior notice of any such
investment, although they will not be entitled to vote on the action. Such
investment would be made only if the Trustees determine it to be in the best
interests of the respective Portfolios and their shareholders.
    


                                       60

<PAGE>
   

                               KEMPER HORIZON FUND
                       STATEMENT OF ADDITIONAL INFORMATION
                                November 30, 1998
    

                          Kemper Horizon 20+ Portfolio
                          Kemper Horizon 10+ Portfolio
                           Kemper Horizon 5 Portfolio

               222 South Riverside Plaza, Chicago, Illinois 60606
                                 1-800-621-1048

   
This  Statement  of  Additional  Information  is  not a  prospectus.  It is  the
Statement  of  Additional   Information   for  each  of  the   portfolios   (the
"Portfolios")  of the Kemper  Horizon  Fund (the  "Fund").  It should be read in
conjunction  with the  prospectus  of the Fund  dated  November  30,  1998.  The
prospectus  may be obtained  without  charge from the Fund and is also available
along  with  other   related   materials   on  the  SEC's   Internet   web  site
(http://www.sec.gov).
    

                                TABLE OF CONTENTS

   
INVESTMENT RESTRICTIONS ......................................................1
INVESTMENT POLICIES AND TECHNIQUES............................................4
PORTFOLIO TRANSACTIONS ......................................................12
INVESTMENT MANAGER AND UNDERWRITER...........................................14
PURCHASE AND REDEMPTION OF SHARES............................................22
DIVIDENDS AND TAXES .........................................................23
PERFORMANCE .................................................................29
OFFICERS AND TRUSTEES .......................................................36
SHAREHOLDER RIGHTS ..........................................................41
APPENDIX -- RATINGS OF FIXED INCOME INVESTMENTS..............................43
    



The financial  statements  appearing in the Fund's Annual Report to Shareholders
are incorporated  herein by reference.  The Report for the Fund accompanies this
document.

<PAGE>

INVESTMENT RESTRICTIONS

Each Portfolio has adopted certain  fundamental  investment  restrictions  that,
together with its investment objective and any fundamental  policies,  cannot be
changed without  approval of a majority of the outstanding  voting shares of the
Portfolio.  As defined in the  Investment  Company  Act of 1940,  this means the
lesser  of the  vote of (a) 67% of the  shares  of the  Portfolio  present  at a
meeting where more than 50% of the  outstanding  shares are present in person or
by proxy or (b) more than 50% of the outstanding shares of the Portfolio.

   
Kemper Horizon 10+ Portfolio may not, as a fundamental policy:
    

         (1)      Purchase  securities of any issuer (other than obligations of,
                  or  guaranteed  by,  the  U.S.  Government,  its  agencies  or
                  instrumentalities)  if, as a result, more than 5% of the total
                  value of the its assets  would be  invested in  securities  of
                  that issuer.*

         (2)      Purchase  more than 10% of any class of voting  securities  of
                  any issuer.

         (3)      Make  loans  to  others  provided  that it may  purchase  debt
                  obligations  or  repurchase  agreements  and it may  lend  its
                  securities in  accordance  with its  investment  objective and
                  policies.

         (4)      Borrow money except as a temporary  measure for  extraordinary
                  or  emergency  purposes,  and  then  only in an  amount  up to
                  one-third of the value of its total  assets,  in order to meet
                  redemption  requests without immediately selling any portfolio
                  securities.  If,  for any  reason,  the  current  value of the
                  Portfolio's  total assets falls below an amount equal to three
                  times the amount of its indebtedness from money borrowed,  the
                  Portfolio will,  within three days (not including  Sundays and
                  holidays),  reduce its  indebtedness to the extent  necessary.
                  The Portfolio will not purchase securities or make investments
                  while borrowings are in excess of 5% of its total assets.

         (5)      Pledge, hypothecate,  mortgage or otherwise encumber more than
                  15% of its total  assets  and then  only to secure  borrowings
                  permitted by  restriction  number (4) above.  (The  collateral
                  arrangements  with respect to options,  financial  futures and
                  delayed  delivery  transactions  and any  margin  payments  in
                  connection  therewith  are not  deemed to be  pledges or other
                  encumbrances.)

         (6)      Purchase   securities   on  margin,   except  to  obtain  such
                  short-term  credits as may be necessary  for the  clearance of
                  transactions;  however, the Portfolio may make margin deposits
                  in connection with options and financial futures transactions.

         (7)      Make short sales of  securities  or maintain a short  position
                  for its account  unless at all times when a short  position is
                  open it owns  an  equal  amount  of  such  securities  or owns
                  securities    which,    without   payment   of   any   further
                  consideration,   are  convertible  into  or  exchangeable  for
                  securities  of the same  issue as, and equal in amount to, the
                  securities  sold  short  and  unless  not more than 10% of the
                  Portfolio's  total assets is held as collateral for such sales
                  at any one time.

         (8)      Purchase   securities  (other  than  securities  of  the  U.S.
                  Government,  its agencies or instrumentalities) if as a result
                  of such  purchase  25% or more of its  total  assets  would be
                  invested in any one industry.*

         (9)      Invest in commodities or commodity futures contracts, although
                  it may buy or sell financial  futures contracts and options on
                  such contracts,  and engage in foreign currency

                                       1
<PAGE>

                  transactions; or in real estate (including real estate limited
                  partnership  interests),  although it may invest in securities
                  that are secured by real estate and securities of issuers that
                  invest or deal in real estate.

         (10)     Underwrite securities issued by others except to the extent it
                  may  be  deemed  to  be  an  underwriter,  under  the  federal
                  securities   laws,  in  connection  with  the  disposition  of
                  portfolio securities.

         (11)     Issue  senior   securities   except  as  permitted  under  the
                  Investment Company Act of 1940.

   
*        For purposes of investment  restrictions (1) and (8), to the extent the
Portfolio invests in loan  participations,  the Portfolio,  as a non-fundamental
policy,  considers both the lender and the borrower to be an issuer of such loan
participation.

If a percentage  restriction  is adhered to at the time of  investment,  a later
increase or decrease in percentage  beyond the specified  limit resulting from a
change in values or net assets will not be  considered a violation.  The Horizon
10+ Portfolio did not borrow money as permitted by investment restriction number
4 during the last  fiscal  period,  and has no present  intention  of  borrowing
during the current  year.  The Horizon 10+  Portfolio  has adopted the following
non-fundamental  restrictions,  which may be  changed  by the Board of  Trustees
without shareholder approval.  The Horizon 10+ Portfolio may not:
    

         (i)      Invest for the purpose of exercising  control or management of
                  another issuer.

         (ii)     Purchase securities of other investment  companies,  except in
                  connection  with  a  merger,  consolidation,   acquisition  or
                  reorganization,   or  by   purchase  in  the  open  market  of
                  securities  of  closed-end   investment   companies  where  no
                  underwriter  or  dealer's  commission  or  profit,  other than
                  customary  broker's  commission,   is  involved  and  only  if
                  immediately  thereafter  not  more  than  (i) 3% of the  total
                  outstanding  voting stock of such company is owned by it, (ii)
                  5% of its  total  assets  would  be  invested  in any one such
                  company,  and (iii) 10% of total  assets  would be invested in
                  such securities.

         (iii)    Invest more than 15% of its net assets in illiquid securities.

         (iv)     Write or sell put or call  options,  combinations  thereof  or
                  similar  options on more than 25% of the its net  assets;  nor
                  may it purchase put or call options if more than 5% of the its
                  net  assets  would be  invested  in  premiums  on put and call
                  options, combinations thereof or similar options; however, the
                  Portfolio  may  buy  or  sell  options  on  financial  futures
                  contracts.

   
Kemper  Horizon 5  Portfolio  and Kemper  Horizon  20+  Portfolio  may not, as a
fundamental policy:

         (1)      Purchase  securities of any issuer (other than obligations of,
                  or  guaranteed  by,  the  U.S.  Government,  its  agencies  or
                  instrumentalities)  if, as a result, more than 5% of the total
                  value of the its assets  would be  invested in  securities  of
                  that  issuer*,  except  that all or  substantially  all of the
                  assets of the Portfolio may be invested in another  registered
                  investment  company having the same  investment  objective and
                  substantially similar investment policies as the Portfolio.

         (2)      Purchase  more than 10% of any class of voting  securities  of
                  any issuer, except that all or substantially all of the assets
                  of  the  Portfolio  may  be  invested  in  another  registered
                  investment  company having the same  investment  objective and
                  substantially similar investment policies as the Portfolio.

                                       2
<PAGE>

         (3)      Make  loans  to  others  provided  that it may  purchase  debt
                  obligations  or  repurchase  agreements  and it may  lend  its
                  securities in  accordance  with its  investment  objective and
                  policies.

         (4)      Borrow money except as a temporary  measure for  extraordinary
                  or  emergency  purposes,  and  then  only in an  amount  up to
                  one-third of the value of its total  assets,  in order to meet
                  redemption  requests without immediately selling any portfolio
                  securities.  If,  for any  reason,  the  current  value of the
                  Portfolio's  total assets falls below an amount equal to three
                  times the amount of its indebtedness from money borrowed,  the
                  Portfolio will,  within three days (not including  Sundays and
                  holidays),  reduce its  indebtedness to the extent  necessary.
                  The Portfolio will not purchase securities or make investments
                  while borrowings are in excess of 5% of its total assets.

         (5)      Pledge, hypothecate,  mortgage or otherwise encumber more than
                  15% of its total  assets  and then  only to secure  borrowings
                  permitted by  restriction  number (4) above.  (The  collateral
                  arrangements  with respect to options,  financial  futures and
                  delayed  delivery  transactions  and any  margin  payments  in
                  connection  therewith  are not  deemed to be  pledges or other
                  encumbrances.)

         (6)      Purchase   securities   on  margin,   except  to  obtain  such
                  short-term  credits as may be necessary  for the  clearance of
                  transactions;  however, the Portfolio may make margin deposits
                  in connection with options and financial futures transactions.

         (7)      Make short sales of  securities  or maintain a short  position
                  for its account  unless at all times when a short  position is
                  open it owns  an  equal  amount  of  such  securities  or owns
                  securities    which,    without   payment   of   any   further
                  consideration,   are  convertible  into  or  exchangeable  for
                  securities  of the same  issue as, and equal in amount to, the
                  securities  sold  short  and  unless  not more than 10% of the
                  Portfolio's  total assets is held as collateral for such sales
                  at any one time.

         (8)      Purchase   securities  (other  than  securities  of  the  U.S.
                  Government,  its agencies or instrumentalities) if as a result
                  of such  purchase  25% or more of its  total  assets  would be
                  invested   in  any  one   industry*,   except   that   all  or
                  substantially  all  of the  assets  of  the  Portfolio  may be
                  invested in another  registered  investment company having the
                  same investment objective and substantially similar investment
                  policies as the Portfolio.

         (9)      Invest in commodities or commodity futures contracts, although
                  it may buy or sell financial  futures contracts and options on
                  such contracts,  and engage in foreign currency  transactions;
                  or in real estate  (including real estate limited  partnership
                  interests),  although  it may  invest in  securities  that are
                  secured by real estate and  securities  of issuers that invest
                  or deal in real estate.

         (10)     Underwrite securities issued by others except to the extent it
                  may  be  deemed  to  be  an  underwriter,  under  the  federal
                  securities   laws,  in  connection  with  the  disposition  of
                  portfolio securities,  except that all or substantially all of
                  the  assets  of the  Portfolio  may  be  invested  in  another
                  registered  investment  company  having  the  same  investment
                  objective and substantially similar investment policies as the
                  Portfolio.

         (11)     Issue  senior   securities   except  as  permitted  under  the
                  Investment Company Act of 1940.

*        For  purposes  of  investment  restrictions  (1) and (8), to the extent
these  Portfolios  invest  in  loan  participations,   these  Portfolios,  as  a
non-fundamental  policy,  consider  both the  lender and the  borrower  to be an
issuer of such loan participation.

                                       3
<PAGE>

If a percentage  restriction  is adhered to at the time of  investment,  a later
increase or decrease in percentage  beyond the specified  limit resulting from a
change  in  values  or net  assets  will  not be  considered  a  violation.  The
Portfolios did not borrow money as permitted by investment  restriction number 4
during the last fiscal period, and have no present intention of borrowing during
the current year. The Horizon 5 Portfolio and Horizon 20+ Portfolio have adopted
the following non-fundamental restrictions, which may be changed by the Board of
Trustees without shareholder approval. Neither Portfolio may:

         (i)      Invest for the purpose of exercising  control or management of
                  another issuer.

         (ii)     Purchase securities of other investment  companies,  except in
                  connection  with  a  merger,  consolidation,   acquisition  or
                  reorganization,   or  by   purchase  in  the  open  market  of
                  securities  of  closed-end   investment   companies  where  no
                  underwriter  or  dealer's  commission  or  profit,  other than
                  customary  broker's  commission,   is  involved  and  only  if
                  immediately  thereafter  not  more  than  (i) 3% of the  total
                  outstanding  voting stock of such company is owned by it, (ii)
                  5% of its  total  assets  would  be  invested  in any one such
                  company,  and (iii) 10% of total  assets  would be invested in
                  such securities.

         (iii)    Invest more than 15% of its net assets in illiquid securities.

         (iv)     Write or sell put or call  options,  combinations  thereof  or
                  similar  options on more than 25% of the its net  assets;  nor
                  may it purchase put or call options if more than 5% of the its
                  net  assets  would be  invested  in  premiums  on put and call
                  options, combinations thereof or similar options; however, the
                  Portfolio  may  buy  or  sell  options  on  financial  futures
                  contracts.

Master/feeder  fund  structure.  The Board of Trustees  of the Kemper  Horizon 5
Portfolio and the Kemper  Horizon 20+ Portfolio has the discretion to retain the
current distribution  arrangement for a Fund while investing in a master fund in
a master/feeder fund structure as described below.

A master/feeder fund structure is one in which a fund (a "feeder fund"), instead
of investing  directly in a portfolio of securities,  invests most or all of its
investment  assets in a separate  registered  investment  company  (the  "master
fund") with  substantially  the same  investment  objective  and policies as the
feeder  fund.  Such a  structure  permits  the  pooling of assets of two or more
feeder funds,  preserving  separate  identities or distribution  channels at the
feeder  fund  level.  Based on the  premise  that  certain  of the  expenses  of
operating an investment  portfolio are  relatively  fixed,  a larger  investment
portfolio may eventually  achieve a lower ratio of operating expenses to average
net assets. An existing  investment  company is able to convert to a feeder fund
by  selling  all  of  its  investments,   which  involves  brokerage  and  other
transaction  costs and realization of a taxable gain or loss, or by contributing
its assets to the master  fund and  avoiding  transaction  costs and,  if proper
procedures are followed, the realization of taxable gain or loss.
    

INVESTMENT POLICIES AND TECHNIQUES

GENERAL.  Each  Portfolio may engage in options  transactions  and may engage in
financial  futures  transactions  in accordance  with its respective  investment
objectives and policies.  Each Portfolio  intends to engage in such transactions
if it appears to the investment  manager to be advantageous to do so in order to
pursue its investment  objective and also to hedge against the effects of market
risks but not for  speculative  purposes.  The use of futures and  options,  and
possible   benefits  and  attendant   risks,  are  discussed  below  along  with
information concerning other investment policies and techniques.

OPTIONS ON SECURITIES. Each Portfolio may write (sell) "covered" call options on
securities as long as it owns the underlying securities subject to the option or
an option to purchase the same underlying


                                       4
<PAGE>

securities, having an exercise price equal to or less than the exercise price of
the "covered"  option, or will establish and maintain for the term of the option
a segregated  account  consisting of cash, U.S.  Government  securities or other
liquid  high-grade debt obligations  ("eligible  securities")  having a value at
least equal to the  fluctuating  market value of the optioned  securities.  Each
Portfolio  may  write  "covered"  put  options  provided  that,  as  long as the
Portfolio is obligated as a writer of a put option,  the  Portfolio  will own an
option  to sell the  underlying  securities  subject  to the  option,  having an
exercise  price equal to or greater  than the  exercise  price of the  "covered"
option,  or it will  deposit  and  maintain  in a  segregated  account  eligible
securities  having a value equal to or greater  than the  exercise  price of the
option.  A call option gives the  purchaser the right to buy, and the writer the
obligation to sell, the  underlying  security at the exercise price during or at
the end of the option  period.  A put option  gives the  purchaser  the right to
sell,  and the writer the  obligation  to buy,  the  underlying  security at the
exercise price during or at the end of the option period.  The premium  received
for writing an option will reflect, among other things, the current market price
of the  underlying  security,  the  relationship  of the exercise  price to such
market  price,  the price  volatility  of the  underlying  security,  the option
period,  supply  and demand  and  interest  rates.  The  Portfolio  may write or
purchase spread options, which are options for which the exercise price may be a
fixed dollar spread or yield spread  between the security  underlying the option
and another  security  that is used as a bench mark.  The  exercise  price of an
option  may be  below,  equal  to or  above  the  current  market  value  of the
underlying  security at the time the option is  written.  The buyer of a put who
also owns the related security is protected by ownership of a put option against
any decline in that  security's  price below the exercise  price less the amount
paid for the option.  The ability to purchase put options  allows a Portfolio to
protect capital gains in an appreciated security it owns, without being required
to actually sell that security.  At times a Portfolio  would like to establish a
position in a security  upon which call options are  available.  By purchasing a
call option, a Portfolio is able to fix the cost of acquiring the security, this
being the cost of the call plus the exercise price of the option. This procedure
also provides some protection from an unexpected downturn in the market, because
a  Portfolio  is only at risk for the  amount of the  premium  paid for the call
option which it can, if it chooses, permit to expire.

During the option  period the covered  call writer  gives up the  potential  for
capital  appreciation  above the exercise price should the  underlying  security
rise in value,  and the secured  put writer  retains the risk of loss should the
underlying  security decline in value. For the covered call writer,  substantial
appreciation  in the  value  of the  underlying  security  would  result  in the
security  being  "called   away."  For  the  secured  put  writer,   substantial
depreciation  in the  value  of the  underlying  security  would  result  in the
security  being  "put  to"  the  writer.   If  a  covered  call  option  expires
unexercised,  the writer realizes a gain in the amount of the premium  received.
If the covered call option writer has to sell the underlying security because of
the exercise of a call  option,  it realizes a gain or loss from the sale of the
underlying  security,  with the  proceeds  being  increased by the amount of the
premium.

If a secured put option expires unexercised, the writer realizes a gain from the
amount of the premium,  plus the interest income on the eligible securities that
have been  segregated.  If the  secured  put  writer  has to buy the  underlying
security  because of the  exercise  of the put  option,  the  secured put writer
incurs an  unrealized  loss to the extent that the current  market  value of the
underlying security is less than the exercise price of the put option.  However,
this would be offset in whole or in part by gain from the premium  received  and
any interest income earned on the eligible securities that have been segregated.

OVER-THE-COUNTER  OPTIONS.  As  indicated  in the  prospectus  (see  "Investment
Objectives,   Policies  and  Risk   Factors"),   the   Portfolios  may  deal  in
over-the-counter  traded  options  ("OTC  options").  OTC  options  differ  from
exchange traded options in several respects.  They are transacted  directly with
dealers  and  not  with  a  clearing  corporation,   and  there  is  a  risk  of
nonperformance  by the dealer as a result of the  insolvency  of such  dealer or
otherwise,  in which event a Portfolio may experience material losses.  However,
in writing options the premium is paid in advance by the dealer. OTC options are
available for a greater  variety of securities,  and a wider range of expiration
dates and exercise prices,  than are exchange traded options.  Since there is no
exchange,  pricing is normally  done by  reference  to  information  from market
makers,  which information is carefully  monitored by the investment manager and
verified in appropriate cases.

                                       5
<PAGE>

A writer or purchaser of a put or call option can terminate it voluntarily  only
by entering into a closing transaction. In the case of OTC options, there can be
no  assurance  that a  continuous  liquid  secondary  market  will exist for any
particular option at any specific time. Consequently, a Portfolio may be able to
realize the value of an OTC option it has  purchased  only by  exercising  it or
entering  into a closing  sale  transaction  with the  dealer  that  issued  it.
Similarly,  when a Portfolio  writes an OTC option,  it generally  can close out
that option prior to its  expiration  only by entering  into a closing  purchase
transaction  with the dealer to which the  Portfolio  originally  wrote it. If a
covered call option writer cannot effect a closing  transaction,  it cannot sell
the  underlying  security  until the option  expires or the option is exercised.
Therefore, a covered call option writer of an OTC option may not be able to sell
an underlying  security even though it might otherwise be advantageous to do so.
Likewise,  a  secured  put  writer  of an OTC  option  may be unable to sell the
securities  pledged to secure the put for other investment  purposes while it is
obligated  as a put writer.  Similarly,  a purchaser  of such put or call option
might also find it difficult to terminate  its position on a timely basis in the
absence of a secondary market.

The Fund  understands  the position of the staff of the  Securities and Exchange
Commission  ("SEC") to be that  purchased  OTC  options  and the assets  used as
"cover" for written OTC options are illiquid securities.  The investment manager
disagrees  with this position and has found the dealers with which it engages in
OTC options  transactions  generally  agreeable to and capable of entering  into
closing transactions. The Portfolios have adopted procedures for engaging in OTC
options  for the  purpose  of  reducing  any  potential  adverse  effect of such
transactions  upon the liquidity of the Portfolios.  A brief description of such
procedures is set forth below.

A Portfolio will only engage in OTC options  transactions with dealers that have
been  specifically  approved by the  investment  manager  pursuant to procedures
adopted by the Board of Trustees of the Fund.  The investment  manager  believes
that the approved  dealers should be able to enter into closing  transactions if
necessary  and,  therefore,  present  minimal  credit risks to a Portfolio.  The
investment manager will monitor the credit-worthiness of the approved dealers on
an  ongoing  basis.  A  Portfolio  currently  will  not  engage  in OTC  options
transactions  if the amount  invested by the  Portfolio in OTC  options,  plus a
"liquidity  charge"  related to OTC options  written by the Portfolio,  plus the
amount invested by the Portfolio in illiquid securities, would exceed 15% of the
Portfolio's net assets.  The "liquidity charge" referred to above is computed as
described below.

The  Portfolio  anticipates  entering  into  agreements  with dealers to which a
Portfolio sells OTC options. Under these agreements the Portfolio would have the
absolute  right to  repurchase  the OTC options from the dealer at any time at a
price no greater than a price  established under the agreements (the "Repurchase
Price").  The  "liquidity  charge"  referred to above for a specific  OTC option
transaction  will be the  Repurchase  Price  related to the OTC option  less the
intrinsic value of the OTC option. The intrinsic value of an OTC call option for
such  purposes  will be the  amount by which  the  current  market  value of the
underlying  security  exceeds  the  exercise  price.  In the  case of an OTC put
option,  intrinsic  value will be the amount by which the exercise price exceeds
the  current  market  value  of the  underlying  security.  If  there is no such
agreement  requiring a dealer to allow a Portfolio to  repurchase a specific OTC
option  written by the  Portfolio,  the  "liquidity  charge" will be the current
market value of the assets serving as "cover" for such OTC option.

OPTIONS ON SECURITIES  INDICES.  Each Portfolio may purchase and write, call and
put  options  on  securities  indices  in an  attempt  to hedge  against  market
conditions  affecting the value of securities that the Portfolio owns or intends
to purchase,  and not for speculation.  Through the writing or purchase of index
options,  a Portfolio can achieve many of the same objectives as through the use
of options on individual  securities.  Options on securities indices are similar
to options  on a security  except  that,  rather  than the right to take or make
delivery of a security at a specified  price,  an option on a  securities  index
gives the holder the right to receive, upon exercise of the option, an amount of
cash if the closing level of the securities index upon which the option is based
is greater  than, in the case of a call, or less than, in the case of a put, the
exercise  price of the option.  This amount of cash is equal to such  difference
between the closing price of the index and the exercise price of the option. The
writer of the option is obligated,  in return for the


                                       6
<PAGE>

premium received,  to make delivery of this amount. Unlike security options, all
settlements  are in cash and gain or loss  depends  upon price  movements in the
market generally (or in a particular industry or segment of the market),  rather
than  upon  price  movements  in  individual  securities.   Price  movements  in
securities  that the  Portfolio  owns or intends to purchase  will  probably not
correlate  perfectly with movements in the level of an index since the prices of
such securities may be affected by somewhat  different  factors and,  therefore,
the  Portfolio  bears  the risk  that a loss on an  index  option  would  not be
completely offset by movements in the price of such securities.

When a Portfolio writes an option on a securities index, it will segregate,  and
mark-to-market, eligible securities equal in value to 100% of the exercise price
in the case of a put, or the contract  value in the case of a call. In addition,
where the  Portfolio  writes a call option on a securities  index at a time when
the contract value exceeds the exercise price,  the Portfolio will segregate and
mark-to-market,  until  the  option  expires  or is  closed  out,  cash  or cash
equivalents equal in value to such excess.

A Portfolio may also purchase and sell options on other appropriate  indices, as
available,  such as foreign currency  indices.  Options on futures contracts and
index options  involve risks similar to those risks relating to  transactions in
financial  futures  contracts  described  below.  Also, an option purchased by a
Portfolio  may  expire  worthless,  in which case the  Portfolio  would lose the
premium paid therefor.

FINANCIAL  FUTURES  CONTRACTS.  The Portfolios may enter into financial  futures
contracts for the future delivery of a financial instrument, such as a security,
or an amount of foreign currency or the cash value of a securities  index.  This
investment  technique is designed  primarily to hedge  (i.e.,  protect)  against
anticipated  future changes in market conditions or foreign exchange rates which
otherwise  might affect  adversely the value of securities or other assets which
the Portfolio holds or intends to purchase. A "sale" of a futures contract means
the  undertaking  of a contractual  obligation to deliver the  securities or the
cash  value of an index or foreign  currency  called  for by the  contract  at a
specified price during a specified  delivery  period.  A "purchase" of a futures
contract  means the  undertaking  of a  contractual  obligation  to acquire  the
securities  or cash value of an index or foreign  currency at a specified  price
during a specified  delivery  period.  At the time of  delivery,  in the case of
fixed  income  securities  pursuant  to the  contract,  adjustments  are made to
recognize  differences  in value arising from the delivery of securities  with a
different  interest  rate than that  specified in the  contract.  In some cases,
securities called for by a futures contract may not have been issued at the time
the contract was written.

Although some futures  contracts by their terms call for the actual  delivery or
acquisition of securities or other assets,  in most cases a party will close out
the  contractual  commitment  before  delivery  without  having  to make or take
delivery of the underlying assets by purchasing (or selling, as the case may be)
on a commodities  exchange an identical futures contract calling for delivery in
the same month. Such a transaction, if effected through a member of an exchange,
cancels the obligation to make or take delivery of the underlying  securities or
other  assets.  All  transactions  in the  futures  market  are made,  offset or
fulfilled  through a clearing  house  associated  with the exchange on which the
contracts are traded. A Portfolio will incur brokerage fees when it purchases or
sells contracts, and will be required to maintain margin deposits. At the time a
Portfolio  enters into a futures  contract,  it is required to deposit  with its
custodian,  on behalf of the  broker,  a  specified  amount of cash or  eligible
securities,  called "initial  margin." The initial margin required for a futures
contract  is set by the  exchange on which the  contract  is traded.  Subsequent
payments,  called "variation margin," to and from the broker are made on a daily
basis as the market price of the futures contract fluctuates. The costs incurred
in  connection  with futures  transactions  could reduce a  Portfolio's  return.
Futures contracts entail risks. If the investment  manager's  judgment about the
general direction of markets or exchange rates is wrong, the overall performance
may be poorer than if no such contracts had been entered into.

There may be an  imperfect  correlation  between  movements in prices of futures
contracts and portfolio assets being hedged.  In addition,  the market prices of
futures  contracts may be affected by certain  factors.  If  participants in the
futures  market  elect  to  close  out  their   contracts   through   offsetting
transactions  rather than meet margin  requirements,  distortions  in the normal
relationship  between  the  assets  and  futures


                                       7
<PAGE>

markets  could  result.  Price  distortions  could also result if  investors  in
futures  contracts  decide to make or take delivery of underlying  securities or
other assets rather than engage in closing transactions because of the resultant
reduction in the liquidity of the futures market. In addition, because, from the
point of view of speculators, the margin requirements in the futures markets are
less  onerous   than  margin   requirements   in  the  cash  market,   increased
participation  by speculators in the futures market could cause  temporary price
distortions.  Due to the possibility of price  distortions in the futures market
and because of the  imperfect  correlation  between  movements  in the prices of
securities or other assets and movements in the prices of futures  contracts,  a
correct forecast of market trends by the investment manager may still not result
in a successful  hedging  transaction.  If any of these events should occur, the
Portfolio  could lose money on the financial  futures  contracts and also on the
value of its portfolio assets.

OPTIONS ON FINANCIAL FUTURES CONTRACTS.  A Portfolio may purchase and write call
and put options on financial futures contracts.  An option on a futures contract
gives the  purchaser  the right,  in return for the  premium  paid,  to assume a
position in a futures contract at a specified  exercise price at any time during
the period of the option.  Upon exercise,  the writer of the option delivers the
futures  contract to the holder at the  exercise  price.  A  Portfolio  would be
required to deposit with its custodian  initial  margin and  maintenance  margin
with  respect  to put and call  options on  futures  contracts  written by it. A
Portfolio will establish  segregated accounts or will provide cover with respect
to written  options on financial  futures  contracts in a manner similar to that
described under "Options on Securities."  Options on futures  contracts  involve
risks  similar to those risks  relating to  transactions  in  financial  futures
contracts  described above.  Also, an option purchased by a Portfolio may expire
worthless, in which case the Portfolio would lose the premium paid therefor.

DELAYED  DELIVERY  TRANSACTIONS.  A Portfolio  may  purchase  or sell  portfolio
securities on a when-issued or delayed  delivery  basis.  When-issued or delayed
delivery  transactions  involve a commitment  by a Portfolio to purchase or sell
securities  with  payment  and  delivery to take place in the future in order to
secure what is considered to be an advantageous  price or yield to the Portfolio
at the time of entering  into the  transaction.  When a Portfolio  enters into a
delayed delivery  purchase,  it becomes obligated to purchase  securities and it
has all the rights and risks  attendant  to  ownership  of a security,  although
delivery and payment occur at a later date. The value of fixed income securities
to be delivered in the future will fluctuate as interest rates vary. At the time
a Portfolio  makes the  commitment  to purchase a security on a  when-issued  or
delayed delivery basis, it will record the transaction and reflect the liability
for the  purchase  and the value of the  security in  determining  its net asset
value. Likewise, at the time a Portfolio makes the commitment to sell a security
on a delayed  delivery  basis,  it will record the  transaction  and include the
proceeds to be received in  determining  its net asset value;  accordingly,  any
fluctuations  in the value of the security sold  pursuant to a delayed  delivery
commitment are ignored in calculating  net asset value so long as the commitment
remains in effect.  A Portfolio  generally has the ability to close out or "roll
over" a purchase  obligation on or before the settlement date,  rather than take
delivery of the security.

REGULATORY  RESTRICTIONS.  To the extent required to comply with SEC Release No.
IC-10666,  when purchasing a futures contract,  writing a put option or entering
into a forward  currency  exchange  purchase or a delayed delivery  purchase,  a
Portfolio will maintain in a segregated  account cash or liquid securities equal
to the value of such  contracts.  A Portfolio will use cover in connection  with
selling a futures contract.

A Portfolio will not engage in  transactions in financial  futures  contracts or
options thereon for speculation, but only in an attempt to hedge against changes
in interest rates or market  conditions  affecting the value of securities which
the Portfolio holds or intends to purchase.

FOREIGN CURRENCY OPTIONS.  The Portfolios may engage in foreign currency options
transactions. A foreign currency option provides the option buyer with the right
to buy or sell a stated  amount of foreign  currency at the exercise  price at a
specified  date or during the option  period.  A call option gives its owner the
right, but not the obligation, to buy the currency, while a put option gives its

                                       8
<PAGE>

owner the right, but not the obligation, to sell the currency. The option seller
(writer)  is  obligated  to  fulfill  the  terms  of the  option  sold  if it is
exercised.  However,  either  seller or buyer may close its position  during the
option  period  in the  secondary  market  for such  options  any time  prior to
expiration.

A call rises in value if the underlying currency appreciates.  Conversely, a put
rises  in value if the  underlying  currency  depreciates.  While  purchasing  a
foreign currency option can protect the Portfolio against an adverse movement in
the value of a foreign  currency,  it does not limit the gain which might result
from a  favorable  movement in the value of such  currency.  For  example,  if a
Portfolio  were  holding  securities  denominated  in  an  appreciating  foreign
currency and had purchased a foreign  currency put to hedge against a decline in
the value of the currency, it would not have to exercise its put. Similarly,  if
the Portfolio had entered into a contract to purchase a security  denominated in
a foreign  currency and had purchased a foreign currency call to hedge against a
rise in value of the currency but instead the currency had  depreciated in value
between the date of purchase and the settlement  date,  the Portfolio  would not
have to  exercise  its call but could  acquire in the spot  market the amount of
foreign currency needed for settlement.

FOREIGN  CURRENCY  FUTURES  TRANSACTIONS.  As part of  their  financial  futures
transactions  (see  "Financial  Futures  Contracts"  and  "Options on  Financial
Futures  Contracts"  above),  the  Portfolios may use foreign  currency  futures
contracts and options on such futures contracts. Through the purchase or sale of
such  contracts,  a Portfolio may be able to achieve many of the same objectives
as through  forward foreign  currency  exchange  contracts more  effectively and
possibly at a lower cost.

Unlike forward foreign  currency  exchange  contracts,  foreign currency futures
contracts and options on foreign currency futures  contracts are standardized as
to amount and delivery  period and are traded on boards of trade and commodities
exchanges.  It is anticipated that such contracts may provide greater  liquidity
and lower cost than forward foreign currency exchange contracts.

FORWARD FOREIGN CURRENCY EXCHANGE CONTRACTS. A forward foreign currency exchange
contract  involves an  obligation  to purchase or sell a specific  currency at a
future date, which may be any fixed number of days ("term") from the date of the
contract agreed upon by the parties, at a price set at the time of the contract.
These  contracts are traded directly  between  currency  traders  (usually large
commercial banks) and their customers.  The investment  manager believes that it
is important to have the  flexibility to enter into such forward  contracts when
it determines that to do so is in the best interests of a Portfolio. A Portfolio
will not speculate in foreign currency exchange.

If a  Portfolio  retains the  portfolio  security  and engages in an  offsetting
transaction with respect to a forward contract,  the Portfolio will incur a gain
or a loss (as  described  below) to the extent  that there has been  movement in
forward contract prices. If the Portfolio engages in an offsetting  transaction,
it may  subsequently  enter  into a new  forward  contract  to sell the  foreign
currency.  Should forward prices decline during the period between a Portfolio's
entering into a forward  contract for the sale of foreign  currency and the date
it enters into an offsetting  contract for the purchase of the foreign currency,
the  Portfolio  would  realize a gain to the extent the price of the currency it
has agreed to sell  exceeds the price of the currency it has agreed to purchase.
Should forward prices increase,  the Portfolio would suffer a loss to the extent
the price of the  currency  it has agreed to  purchase  exceeds the price of the
currency it has agreed to sell.  Although  such  contracts  tend to minimize the
risk of loss due to a decline  in the value of the  hedged  currency,  they also
tend to limit any  potential  gain that  might  result  should the value of such
currency  increase.  A  Portfolio  may have to convert  its  holdings of foreign
currencies  into U.S.  Dollars  from time to time in order to meet such needs as
Portfolio expenses and redemption requests. Although foreign exchange dealers do
not  charge  a fee for  conversion,  they  do  realize  a  profit  based  on the
difference  (the  "spread")  between  the  prices at which  they are  buying and
selling various currencies.

A Portfolio will not enter into forward  contracts or maintain a net exposure in
such  contracts  when the  Portfolio  would be obligated to deliver an amount of
foreign  currency in excess of the value of the Portfolio's  securities or other
assets  denominated  in that  currency.  A Portfolio  segregates  cash or liquid

                                       9
<PAGE>

securities to the extent  required by applicable  regulation in connection  with
forward foreign currency  exchange  contracts entered into for the purchase of a
foreign currency.  A Portfolio  generally does not enter into a forward contract
with a term longer than one year.

REPURCHASE AGREEMENTS.  A Portfolio may invest in repurchase  agreements,  which
are instruments under which the Portfolio  acquires ownership of a security from
a  broker-dealer  or bank that agrees to  repurchase  the security at a mutually
agreed  upon time and price  (which  price is higher than the  purchase  price),
thereby  determining  the yield during the Portfolio's  holding  period.  In the
event of a bankruptcy  or other  default of a seller of a repurchase  agreement,
the Portfolio might incur expenses in enforcing its rights, and could experience
losses,  including a decline in the value of the underlying  securities and loss
of  income.   The   securities   underlying  a  repurchase   agreement  will  be
marked-to-market  every business day so that the value of such  securities is at
least equal to the investment value of the repurchase  agreement,  including any
accrued interest thereon.  No Portfolio currently intends to invest more than 5%
of its net assets in repurchase agreements during the current year.

SHORT SALES  AGAINST-THE-BOX.  A Portfolio may make short sales  against-the-box
for the  purpose  of, but not limited  to,  deferring  realization  of loss when
deemed   advantageous   for   federal   income  tax   purposes.   A  short  sale
"against-the-box"  is a short sale in which the Portfolio owns at least an equal
amount  of  the  securities  sold  short  or  securities   convertible  into  or
exchangeable  for, without payment of any further  consideration,  securities of
the same issue as, and at least equal in amount to, the securities sold short. A
Portfolio  may engage in such short  sales only to the extent that not more than
10% of the Portfolio's  total assets  (determined at the time of the short sale)
is held as collateral for such sales. No Portfolio  currently intends,  however,
to engage in such short  sales to the extent that more than 5% of its net assets
will be held as collateral therefor during the current year.

OTHER  CONSIDERATIONS  -- HIGH YIELD  (HIGH RISK)  BONDS.  As  reflected  in the
prospectus,  a  Portfolio  may invest a portion  of its  assets in fixed  income
securities that are in the lower rating categories of recognized rating agencies
(i.e.,  junk bonds) or are non-rated.  No Portfolio  currently intends to invest
more than 5% of its net assets in junk bonds.  These  lower  rated or  non-rated
fixed income securities are considered, on balance, as predominantly speculative
with respect to capacity to pay interest and repay  principal in accordance with
the terms of the  obligation  and  generally  will involve more credit risk than
securities in the higher rating categories.

The  market  values of such  securities  tend to  reflect  individual  corporate
developments to a greater extent than do those of higher rated securities, which
react primarily to  fluctuations  in the general level of interest  rates.  Such
lower rated  securities  also tend to be more  sensitive to economic  conditions
than are higher rated securities.  Adverse  publicity and investor  perceptions,
whether or not based on fundamental  analysis,  regarding  lower rated bonds may
depress  the  prices  for such  securities.  These and other  factors  adversely
affecting  the market value of high yield  securities  will  adversely  affect a
Portfolio's  net asset value.  Although some risk is inherent in all  securities
ownership,  holders of fixed income securities have a claim on the assets of the
issuer prior to the holders of common stock.  Therefore,  an investment in fixed
income securities generally entails less risk than an investment in common stock
of the same issuer.

High yield securities  frequently are issued by corporations in the growth stage
of their  development.  They may also be issued in  connection  with a corporate
reorganization or a corporate takeover.  Companies that issue such high yielding
securities  often are highly  leveraged and may not have  available to them more
traditional methods of financing.  Therefore, the risk associated with acquiring
the securities of such issuers generally is greater than is the case with higher
rated securities. For example, during an economic downturn or recession,  highly
leveraged  issuers of high yield  securities  may experience  financial  stress.
During such periods, such issuers may not have sufficient revenues to meet their
interest  payment  obligations.   The  issuer's  ability  to  service  its  debt
obligations may also be adversely affected by specific  corporate  developments,
or the issuer's inability to meet specific projected business forecasts,  or the
unavailability  of  additional  financing.  The risk of loss from default by the
issuer is  significantly  greater  for

                                       10
<PAGE>

the holders of high yielding  securities  because such  securities are generally
unsecured and are often subordinated to other creditors of the issuer.

Zero  coupon  securities  and  pay-in-kind  bonds  involve   additional  special
considerations.  Zero coupon securities are debt obligations that do not entitle
the holder to any periodic payments of interest prior to maturity or a specified
cash payment date when the securities  begin paying current  interest (the "cash
payment date") and therefore are issued and traded at a discount from their face
amount or par value.  The market prices of zero coupon  securities are generally
more  volatile   than  the  market  prices  of  securities   that  pay  interest
periodically and are likely to respond to changes in interest rates to a greater
degree than do securities paying interest  currently with similar maturities and
credit  quality.  Zero  coupon,  pay-in-kind  or deferred  interest  bonds carry
additional risk in that unlike bonds that pay interest  throughout the period to
maturity,  a Portfolio will realize no cash until the cash payment date unless a
portion of such  securities is sold and, if the issuer  defaults,  the Portfolio
may obtain no return at all on its investment.

Additional  information concerning high yield securities appears under "Appendix
- -- Ratings of Fixed Income Investments."

Collateralized  Obligations.  Each Portfolio will currently invest in only those
collateralized  obligations  that are  fully  collateralized  and that  meet the
quality standards  otherwise  applicable to the Portfolio's  investments.  Fully
collateralized  means that the collateral will generate cash flows sufficient to
meet  obligations to holders of the  collateralized  obligations  under even the
most  conservative   prepayment  and  interest  rate   projections.   Thus,  the
collateralized  obligations are structured to anticipate a worst case prepayment
condition  and to minimize  the  reinvestment  rate risk for cash flows  between
coupon  dates  for  the  collateralized  obligations.  A worst  case  prepayment
condition generally assumes immediate  prepayment of all securities purchased at
a  premium  and zero  prepayment  of all  securities  purchased  at a  discount.
Reinvestment   rate  risk  may  be  minimized  by  assuming  very   conservative
reinvestment  rates and by other means such as by maintaining the flexibility to
increase  principal  distributions  in a  low  interest  rate  environment.  The
effective credit quality of the collateralized  obligations in such instances is
the credit  quality  of the issuer of the  collateral.  The  requirements  as to
collateralization  are determined by the issuer or sponsor of the collateralized
obligation in order to satisfy rating agencies, if rated. None of the Portfolios
currently  intends to invest  more than 5% of its net  assets in  collateralized
obligations  that are  collateralized  by a pool of  credit  card or  automobile
receivables  or  other  types  of  assets  rather  than  a  pool  of  mortgages,
mortgage-backed securities or U.S. Government securities. Currently, none of the
Portfolios  intends to invest more than 5% of its net assets in inverse floaters
as described in the prospectus  (the  "Investment  Techniques --  Collateralized
Obligations").

Payments of principal and interest on the underlying  collateral  securities are
not passed through directly to the holders of the collateralized  obligations as
such.  Collateralized  obligations  often are issued in two or more classes with
varying maturities and stated rates of interest.  Because interest and principal
payments on the underlying securities are not passed through directly to holders
of  collateralized  obligations,  such obligations of varying  maturities may be
secured by a single  portfolio or pool of securities,  the payments on which are
used to pay  interest  on each  class and to  retire  successive  maturities  in
sequence.  These  relationships may in effect "strip" the interest payments from
principal  payments  of the  underlying  securities  and allow for the  separate
purchase of either the  interest or the  principal  payments,  sometimes  called
interest  only  ("IO") and  principal  only  ("PO")  securities.  Collateralized
obligations are designed to be retired as the underlying  securities are repaid.
In the  event  of  prepayment  on or call  of  such  securities,  the  class  of
collateralized  obligation  first to mature  generally  will be paid down first.
Therefore,  although in most cases the issuer of collateralized obligations will
not supply additional collateral in the event of such prepayment,  there will be
sufficient   collateral  to  secure   collateralized   obligations  that  remain
outstanding.  It is anticipated that no more than 5% of a Portfolio's net assets
will  be  invested   in  IO  and  PO   securities.   Governmentally-issued   and
privately-issued  IO's and PO's will be  considered  illiquid  for purposes of a
Portfolio's  limitation on illiquid  securities,  however, the Board of Trustees
may adopt  guidelines  under  which  governmentally-issued  IO's and PO's may be
determined to be liquid.

                                       11
<PAGE>

In  reliance  on an  interpretation  by the SEC, a  Portfolio's  investments  in
certain qualifying collateralized obligations are not subject to the limitations
in the 1940 Act regarding  investments by a registered  investment company, such
as the Fund, in another investment company.

Zero Coupon  Government  Securities.  Subject to its  investment  objective  and
policies, a Portfolio may invest in zero coupon U.S. Government securities. Zero
coupon  bonds  are  purchased  at a  discount  from the face  amount.  The buyer
receives  only the right to  receive a fixed  payment  on a certain  date in the
future and does not receive any periodic interest payments. These securities may
include  those  created  directly  by the U.S.  Treasury  and those  created  as
collateralized obligations through various proprietary custodial, trust or other
relationships.  The  effect  of  owning  instruments  which do not make  current
interest  payments  is that a fixed  yield is  earned  not only on the  original
investment but also, in effect, on all discount accretion during the life of the
obligations.  This implicit reinvestment of earnings at the same rate eliminates
the risk of being  unable  to  reinvest  distributions  at a rate as high as the
implicit  yield on the zero coupon  bond,  but at the same time  eliminates  any
opportunity to reinvest  earnings at higher rates. For this reason,  zero coupon
bonds are subject to substantially  greater price fluctuations during periods of
changing  market  interest  rates than those of comparable  securities  that pay
interest  currently,  which  fluctuation is greater as the period to maturity is
longer.  Zero coupon bonds created as collateralized  obligations are similar to
those  created  through the U.S.  Treasury,  but the former  investments  do not
provide  absolute  certainty of maturity or of cash flows after prior classes of
the collateralized  obligations are retired.  No Portfolio  currently intends to
invest more than 5% of its net assets in zero coupon U.S. Government  securities
during the current year.

PORTFOLIO TRANSACTIONS

   
Allocation of brokerage is supervised by the Adviser.

The primary objective of the Adviser in placing orders for the purchase and sale
of  securities  for a Portfolio  is to obtain the most  favorable  net  results,
taking into account such factors as price, commission where applicable,  size of
order,   difficulty   of  execution   and  skill   required  of  the   executing
broker/dealer.  The Adviser  seeks to evaluate  the  overall  reasonableness  of
brokerage commissions paid (to the extent applicable) through the familiarity of
the Distributor with commissions charged on comparable transactions,  as well as
by comparing  commissions  paid by a Portfolio to reported  commissions  paid by

                                       12
<PAGE>

others.  The Adviser reviews on a routine basis commission rates,  execution and
settlement services performed, making internal and external comparisons.

The  Portfolios'  purchases and sales of  fixed-income  securities are generally
placed by the Adviser with primary  market makers for these  securities on a net
basis,  without any brokerage  commission being paid by the Portfolios.  Trading
does, however,  involve transaction costs.  Transactions with dealers serving as
primary  market  makers  reflect the spread  between  the bid and asked  prices.
Purchases of underwritten issues may be made, which will include an underwriting
fee paid to the underwriter.

When it can be done consistently with the policy of obtaining the most favorable
net  results,   it  is  the  Adviser's   practice  to  place  such  orders  with
broker/dealers  who supply research,  market and statistical  information to the
Portfolios.  The term "research,  market and statistical  information"  includes
advice  as to the  value  of  securities;  the  advisability  of  investing  in,
purchasing or selling  securities;  the availability of securities or purchasers
or  sellers  of  securities;   and  analyses  and  reports  concerning  issuers,
industries,  securities, economic factors and trends, portfolio strategy and the
performance  of  accounts.  The Adviser is  authorized  when  placing  portfolio
transactions for the Portfolios to pay a brokerage  commission in excess of that
which another broker might charge for executing the same  transaction on account
of  execution  services  and the  receipt  of  research,  market or  statistical
information.  In effecting transactions in over-the-counter  securities,  orders
are placed  with the  principal  market  makers for the  security  being  traded
unless,  after  exercising  care,  it appears  that more  favorable  results are
available elsewhere.

In selecting among firms believed to meet the criteria for handling a particular
transaction, the Adviser may give consideration to those firms that have sold or
are selling shares of a Fund or Portfolio managed by the Adviser.

To the  maximum  extent  feasible,  it is expected  that the Adviser  will place
orders for portfolio  transactions  through  Scudder  Investors  Services,  Inc.
("SIS"),  which is a corporation  registered as a broker-dealer and a subsidiary
of the Adviser.  SIS will place orders on behalf of the Portfolios with issuers,
underwriters or other brokers and dealers.  SIS will not receive any commission,
fee or other remuneration from the Portfolios for this service.

Although   certain   research,   market   and   statistical   information   from
broker/dealers  may be useful to the  Portfolios  and to the Adviser,  it is the
opinion of the Adviser that such  information only supplements the Adviser's own
research  effort  since the  information  must still be analyzed,  weighed,  and
reviewed by the Adviser's  staff.  Such information may be useful to the Adviser
in providing  services to clients  other than the  Portfolios,  and not all such
information  is  used  by  the  Adviser  in  connection   with  the  Portfolios.
Conversely,  such information provided to the Adviser by broker/dealers  through
whom other clients of the Adviser effect  securities  transactions may be useful
to the Adviser in providing services to the Portfolios.

The Trustees  review from time to time whether the  recapture for the benefit of
the Fund of some portion of the  brokerage  commissions  or similar fees paid by
the Portfolios on portfolio transactions is legally permissible and advisable.

                                       13
<PAGE>

The table below shows total brokerage commissions paid by each Portfolio for the
fiscal year ended July 31 1998,  July 31, 1997, for the period December 29, 1995
(commencement  of  operations)  to July 31, 1996 and, for the most recent fiscal
year,  the  percentage  thereof that was  allocated to firms based upon research
information provided.
    

<TABLE>
<CAPTION>
   
                                     Allocated to Firms Based on                       December 29, 1995
   Portfolio        Fiscal 1998        Research in Fiscal 1998       Fiscal 1997        to July 31, 1996
   ---------        -----------        -----------------------       -----------        ----------------

<S>                    <C>                       <C>                  <C>                   <C>
Horizon 20+            $188,000                  91%                  $137,000              $54,000
Horizon 10+            $141,000                  89%                  $104,000              $40,000
Horizon 5              $52,000                   91%                  $ 43,000              $15,000
    
</TABLE>

INVESTMENT MANAGER AND UNDERWRITER

   
INVESTMENT MANAGER.  Scudder Kemper  Investments,  Inc. ("Scudder Kemper" or the
"Adviser"),  345 Park  Avenue,  New York,  New York,  is the  Fund's  investment
manager. Scudder Kemper is approximately 70% owned by Zurich Financial Services,
Inc., a newly formed  global  insurance  and  financial  services  company.  The
balance of the Adviser is owned by its  officers and  employees.  Pursuant to an
investment  management  agreement,  Scudder Kemper acts as the Fund's investment
adviser,  manages its investments,  administers its business affairs,  furnishes
office facilities and equipment, provides clerical, administrative services, and
permits any of its  officers  or  employees  to serve  without  compensation  as
trustees or officers of the Fund if elected to such  positions.  The  investment
management agreement provides that the Fund pays the charges and expenses of its
operations,  including  the fees and expenses of the trustees  (except those who
are officers or employees of Scudder  Kemper),  independent  auditors,  counsel,
custodian  and transfer  agent and the cost of share


                                       14
<PAGE>

certificates,  reports and notices to  shareholders,  brokerage  commissions  or
transaction  costs,  costs of calculating  net asset value and  maintaining  all
accounting  records  thereto,  taxes and  membership  dues.  The Fund  bears the
expenses  of  registration  of its  shares  with  the  Securities  and  Exchange
Commission,  while Kemper Distributors,  Inc. ("KDI"), as principal underwriter,
pays the cost of qualifying  and  maintaining  the  qualification  of the Fund's
shares for sale under the securities laws of the various states.

The investment  management  agreement  provides that Scudder Kemper shall not be
liable for any error of judgment or of law, or for any loss suffered by the Fund
in connection  with the matters to which the  agreements  relate,  except a loss
resulting from willful misfeasance, bad faith or gross negligence on the part of
Scudder Kemper in the performance of its obligations and duties, or by reason of
its reckless disregard of its obligations and duties under each agreement.
    

The Fund's investment management agreement continues in effect from year to year
so long as its  continuation  is approved at least annually (a) by a majority of
the trustees who are not parties to such agreement or interested  persons of any
such  party  except in their  capacity  as  trustees  of the Fund and (b) by the
shareholders  or  the  Board  of  Trustees.  The  Fund's  investment  management
agreement may be  terminated at any time for a Portfolio  upon 60 days notice by
either party, or by a majority vote of the outstanding  shares of the Portfolio,
and will  terminate  automatically  upon  assignment.  If additional  Portfolios
become subject to the investment management agreement, the provisions concerning
continuation,  amendment and  termination  shall be on a  Portfolio-by-Portfolio
basis. Additional Portfolios may be subject to a different agreement.

   
At December 31, 1997, pursuant to the terms of an agreement,  Scudder, Stevens &
Clark,  Inc.  ("Scudder") and Zurich Insurance  Company  ("Zurich") formed a new
global organization by combining Scudder with Zurich Kemper Investments, Inc., a
former  subsidiary  of Zurich and  former  investment  manager of the Fund,  and
Scudder changed it name to Scudder Kemper  Investments,  Inc. As a result of the
transaction,  Zurich owned  approximately  70% of the Adviser,  with the balance
owned by the Adviser's officers and employees.

On September 7, 1998, the businesses of Zurich (including  Zurich's 70% interest
in Scudder  Kemper) and the financial  services  businesses of B.A.T  Industries
p.l.c.  ("B.A.T")  were  combined to form a new global  insurance  and financial
services  company  known as Zurich  Financial  Services,  Inc.  By way of a dual
holding   company   structure,   former  Zurich   shareholder   initially  owned
approximately 57% of Zurich Financial Services, Inc., with the balance initially
owned by former B.A.T shareholders.

Upon consummation of this transaction, the Fund's existing investment management
agreement with Scudder  Kemper was deemed to have been assigned and,  therefore,
terminated.  The Board has approved a new investment  management  agreement with
Scudder  Kemper,  which is  substantially  identical  to the current  investment
management  agreement,  except for the date of execution and  termination.  This
agreement became  effective upon the termination of the then current  investment
management agreement and will be submitted for shareholder approval at a special
meeting currently scheduled to conclude in December 1998.

Scudder Kemper is paid a monthly  investment  management fee, by each Portfolio,
at the annual rates shown below.
    

   
<TABLE>
<CAPTION>
       Average Daily Net Assets of a Portfolio                         Management Fee Rates
       ---------------------------------------                         --------------------

                  <S>                                                         <C>
                  $0 - $250 million                                           0.58%
                  $250 million - $1 billion                                   0.55%
                  $1 billion - $2.5 billion                                   0.53%
                  $2.5 billion - $5 billion                                   0.51%
                  $5 billion - $7.5 billion                                   0.48%
                  $7.5 billion - $10 billion                                  0.46%
                  $10 billion - $12.5 billion                                 0.44%
                  Over $12.5 billion                                          0.42%
</TABLE>

                                       15
<PAGE>

The table below shows investment  management fees paid by each Portfolio for the
fiscal year ended July 31, 1998,  July 31 1997, and for the period  December 29,
1995 (commencement of operations) to July 31, 1996.
    

   
<TABLE>
<CAPTION>
                                                                                     December 29, 1995
                Portfolio               Fiscal 1998            Fiscal 1997           to July 31, 1996
                ---------               -----------            -----------           ----------------

              <S>                        <C>                     <C>                      <C>
               Horizon 20+               $495,000                225,000                  26,000
               Horizon 10+               $495,000                234,000                  27,000
               Horizon 5                 $242,000                130,000                  16,000
</TABLE>

                                       16
<PAGE>

Fund  Accounting  Agent.  Scudder  Fund  Accounting   Corporation   ("SFAC"),  a
subsidiary of Scudder Kemper, is responsible for determining the daily net asset
value per  share of the Fund and  maintaining  all  accounting  records  related
thereto.  Currently, SFAC receives no fee for its services to the Fund; however,
subject to Board approval, at some time in the future, SFAC may seek payment for
its services under this agreement.

PRINCIPAL  UNDERWRITER.  Pursuant  to  separate  underwriting  and  distribution
services  agreements  ("distribution  agreements"),  Kemper  Distributors,  Inc.
("KDI"),  a  wholly-owned   subsidiary  of  Scudder  Kemper,  is  the  principal
underwriter  and distributor for the shares of the Fund and acts as agent of the
Fund in the  continuous  offering of its shares.  KDI bears all its  expenses of
providing  services  pursuant  to the  distribution  agreements,  including  the
payment  of any  commissions.  The Fund  pays the  cost for the  prospectus  and
shareholder reports to be set in type and printed for existing shareholders, and
KDI, as principal underwriter,  pays for the printing and distribution of copies
thereof used in connection with the offering of shares to prospective investors.
KDI also pays for supplementary sales literature and advertising costs.

The distribution agreement continues in effect from year to year so long as such
continuance  is approved for each class at least annually by a vote of the Board
of Trustees of the Fund,  including the Trustees who are not interested  persons
of the  Fund  and who have no  direct  or  indirect  financial  interest  in the
agreement. The agreement automatically terminates in the event of its assignment
and may be terminated

                                       17
<PAGE>

for a class or a  Portfolio  at any time  without  penalty by the Fund or by KDI
upon 60 days'  notice.  Termination  by the Fund  with  respect  to a class or a
Portfolio  may be by vote of a majority of the Board of Trustees,  or a majority
of the  Trustees  who are not  interested  persons  of the  Fund and who have no
direct or indirect  financial  interest in the agreement,  or a "majority of the
outstanding voting  securities" of the class or the Portfolio,  as defined under
the Investment Company Act of 1940. The agreement may not be amended for a class
to  increase  the fee to be paid by the  Portfolio  with  respect  to such class
without  approval by a majority of the  outstanding  voting  securities  of such
class  of such  Portfolio  and all  material  amendments  must in any  event  be
approved by the Board of Trustees in the manner  described above with respect to
the continuation of the agreement.  The provisions  concerning the continuation,
amendment   and   termination   of   the   distribution   agreement   are  on  a
Portfolio-by-Portfolio basis and for the Portfolio on a class by class basis.

Class A Shares. The following information concerns the underwriting  commissions
paid in connection with the distribution of each Portfolio's  Class A shares for
the fiscal year ended July 31, 1998,  July 31, 1997 and for the period  December
29, 1995 (commencement of operations) to July 31, 1996.
    

   
<TABLE>
<CAPTION>
                                           Commissions            Commissions              Commissions
                                            Retained                KDI Paid               Paid to KDI
        Portfolio            Year            by KDI               to All Firms           Affiliated Firms
        ---------            ----            ------               ------------           ----------------

      <S>                    <C>            <C>                      <C>                      <C>
      Horizon 20+            1998           $26,000                  303,000                  0
                             1997           $23,000                  198,000                  0
                             1996           $ 7,000                  160,000                  16,000

      Horizon 10+            1998           $30,000                  300,000                  0
                             1997           $31,000                  219,000                  0
                             1996           $14,000                  235,000                  21,000

      Horizon 5              1998           $13,000                  156,000                  0
                             1997           $20,000                  127,000                  0
                             1996           $ 7,000                  154,000                  10,000
</TABLE>

Class B Shares and Class C Shares.  Each Portfolio has adopted a plan under Rule
12b-1 (the "Rule 12b-1  Plan") that  provides  for fees payable as an expense of
the  Class  B  shares  and  Class  C  shares  that  are  used  by KDI to pay for
distribution and services for those classes.  Because 12b-1 fees are paid out of
fund assets on an ongoing basis they will,  over time,  increase the cost of the
investment and may cost more than other types of sales charges.  Expenses of the
Portfolios  and of KDI, in connection  with the Rule 12b-1 Plans for the Class B
and Class C shares for the fiscal  year ended July 31,  1998,  July 31, 1997 and
for the period December 29, 1995  (commencement  of operations) to July 31, 1996
are set forth below.  A portion of the marketing,  sales and operating  expenses
shown below could be considered overhead expenses.
    

                                       18
<PAGE>

   
<TABLE>
<CAPTION>
                            Portfolio Class B Shares
                            ------------------------

                                    Horizon 20+          Horizon 10+                Horizon 5
                                    -----------          -----------                ---------
                          1998     1997      1996      1998      1997      1996      1998      1997      1996
                          ----     ----      ----      ----      ----      ----      ----      ----      ----
<S>                     <C>        <C>       <C>       <C>       <C>       <C>       <C>       <C>       <C>
Distribution Fees Paid  $305,000   148,000   16,000    265,000   141,000   17,000    150,000   90,000    11,000
by Fund to KDI
Contingent Deferred     $73,000    20,000    3,000     49,000    19,000    1,000     20,000    14,000    6,000
Sales Charges to KDI
Total Commissions Paid  $689,000   565,000   270,000   555,000   490,000   261,000   312,000   264,000   186,000
by KDI to Firms
Distribution Fees Paid  0          0         32,000    0         0         32,000    0         0         15,000
by KDI to Affiliated
Firms
Advertising and         $81,000    106,000   37,000    61,000    90,000    36,000    29000     50,000    28,000
Literature
Other Distribution
Expenses Paid by KDI
Prospectus Printing     $6,000     8,000     2,000     5,000     6,000     2,000     2000      4,000     2,000
Marketing and Sales     $162,000   260,000   79,000    128,000   223,000   76,000    62000     122,000   57,000
Expenses
Misc. Operating         $41,000    43,000    12,000    38,000    38,000    12,000    27000     29,000    10,000
Expenses
Interest Expenses       $149,000   80,000    9,000     131,000   75,000    8,000     79000     49,000    6,000

                            Portfolio Class C Shares
                            ------------------------

                                   Horizon 20+               Horizon 10+               Horizon 5
                                   -----------               -----------               ---------
                          1998     1997      1996      1998      1997      1996      1998      1997      1996
                          ----     ----      ----      ----      ----      ----      ----      ----      ----
Distribution Fees Paid  $45,000    17,000    2,000     61,000    27,000    2,000     31,000    14,000    1,000
by Fund to KDI
Contingent Deferred     $1,000     0         0         1,000     4,000     0         1,000     1,000     0
Sales Charges to KDI
Total Distribution Fees $60,000    22,000    5,000     70,000    24,000    5,000     34,000    15,000    4,000
Paid by KDI to Firms
Distribution Fees Paid  0          0         0         0         0         0         0         0         0
by KDI to Affiliated
Firms
Advertising and         $19,000    18,000    5,000     20,000    24,000    5,000     11,000    12,000    4,000
Literature
Other Distribution
Expenses Paid by KDI
Prospectus Printing     $1,000     1,000     0         1,000     2,000     0         1,000     1,000     0

                                       19
<PAGE>

Marketing and Sales     $27,000    44,000    9,000     40,000    58,000    10,000    22,000    28,000    8,000
Expenses
Misc. Operating         $7,000     15,000    2,000     10,000    16,000    1,000     19,000    14,000    1,000
Expenses
Interest Expenses       $12,000    5,000     0         13,000    6,000     0         8,000     4,000     0
</TABLE>

ADMINISTRATIVE SERVICES.  Administrative services are provided to the Fund under
an administrative services agreement ("administrative  agreement") with KDI. KDI
bears all its  expenses of  providing  services  pursuant to the  administrative
agreement between KDI and the Fund,  including the payment of service fees. Each
Portfolio pays KDI an administrative services fee, payable monthly, at an annual
rate of up to 0.25% of  average  daily net assets of the Class A, B and C shares
of each Portfolio.

KDI has entered into related  arrangements with various  broker-dealer firms and
other  service or  administrative  firms  ("firms"),  that provide  services and
facilities  for their  customers or clients who are  investors of the Fund.  The
firms  provide  such  office  space  and  equipment,  telephone  facilities  and
personnel as is necessary or beneficial for providing  information  and services
to their clients.  Such services and assistance may include, but are not limited
to, establishing and maintaining  accounts and records,  processing purchase and
redemption  transactions,   answering  routine  inquiries  regarding  the  Fund,
assistance  to clients in changing  dividend  and  investment  options,  account
designations  and  addresses  and such other  administrative  services as may be
agreed  upon from time to time and  permitted  by  applicable  statute,  rule or
regulation.  For Class A shares,  KDI pays  each  firm a service  fee,  normally
payable  quarterly,  at an annual  rate of up to 0.25% of the net assets in each
Portfolio account that it maintains and services attributable to Class A shares,
commencing with the month after investment.  For Class B and Class C shares, KDI
currently  advances to firms the first-year service fee at a rate of up to 0.25%
of the purchase  price of such  shares.  For periods  after the first year,  KDI
currently  intends  to  pay  firms  a  service  fee  at a  rate  of up to  0.25%
(calculated  monthly and normally paid quarterly) of the net assets attributable
to Class B and Class C shares  maintained  and  serviced by the firm.  After the
first year, a firm becomes  eligible for the  quarterly  service fee and the fee
continues until  terminated by KDI or the Fund.  Firms to which service fees may
be paid include broker-dealers affiliated with KDI.
    

                                       20
<PAGE>

   
The following information concerns the administrative  services fee paid by each
Portfolio for the fiscal year ended July 31, 1998,  July 31, 1997 and the period
December 29, 1995 (commencement of operations) to July 31, 1996.

<TABLE>
<CAPTION>

                                                                                             Service Fees      Service Fees
                                                                                               Paid by        Paid by KDI to
                       Portfolio      Year       Administrative Service Fees Paid by Fund   KDI to Firms     Affiliated Firms
                       ---------      ----       ----------------------------------------   ------------     ----------------

                                                     Class A        Class B      Class C
                                                     -------        -------      -------

                      <S>             <C>            <C>            <C>           <C>          <C>                <C>
                      Horizon 20+     1998           $86,000        103,000       15,000       213,000            0
                                      1997           $34,000        49,000        5,000        96,000            0
                                      1996           $ 4,000         5,000        1,000        25,000          3,000

                      Horizon 10+     1998           $98,000        88,000        20,000       212,000            0
                                      1997           $40,000        47,000        9,000        100,000            0
                                      1996           $ 4,000         6,000        1,000        26,000          3,000

                       Horizon 5      1998           $41,000        50,000        10,000       109,000            0
                                      1997           $19,000        30,000        5,000        57,000            0
                                      1996           $ 2,000         4,000          0          17,000          1,000
</TABLE>

KDI also may provide  some of the above  services  and may retain any portion of
the fee  under  the  administrative  agreement  not paid to firms to  compensate
itself for administrative functions performed for the Portfolio.  Currently, the
administrative  services fee payable to KDI is based only upon Portfolio  assets
in accounts for which a firm provides administrative services and it is intended
that KDI will pay all the  administrative  services fee that it receives  from a
Portfolio to firms in the form of service  fees.  The  effective  administrative
services  fee rate to be charged  against all assets of a  Portfolio  while this
procedure is in effect will depend upon the proportion of Portfolio  assets that
is in accounts for which a firm of record provides administrative  services. The
Board of Trustees,  in its discretion,  may approve basing the fee to KDI on all
Portfolio assets in the future.

Certain  trustees  or  officers  of the Fund are also  directors  or officers of
Scudder Kemper or KDI as indicated under "Officers and Trustees."

CUSTODIAN,  TRANSFER AGENT AND SHAREHOLDER  SERVICE AGENT.  Investors  Fiduciary
Trust Company ("IFTC"), 801 Pennsylvania Avenue, Kansas City, Missouri 64105, as
custodian and State Street Bank and Trust Company, 225 Franklin Street,  Boston,
Massachusetts  02110, as sub-custodian,  have custody of all securities and cash
of the Fund maintained in the United States.  The Chase  Manhattan  Bank,  Chase
MetroTech  Center,  Brooklyn,  New York 11245, as custodian,  has custody of all
securities and cash of the Fund held outside of the United  States.  They attend
to the  collection  of principal and income,  and payment for and  collection of
proceeds  of  securities  bought  and sold by each  Portfolio.  IFTC is also the
Fund's  transfer  agent  and  dividend-paying  agent.  Pursuant  to  a  services
agreement with IFTC,  Kemper Service Company  ("KSvC"),  an affiliate of Scudder
Kemper, serves as "Shareholder Service Agent" of the Fund and, as such, performs
all of IFTC's duties as transfer agent and dividend paying agent.  IFTC receives
as transfer agent, and pays to KSvC,  annual account fees of $6 per account plus
account set up, transaction and maintenance charges, annual fees associated with
the contingent  deferred sales charge (Class B only) and  out-of-pocket  expense
reimbursement. IFTC's fee is reduced by certain earnings credits in favor of the
Portfolios.  Effective  January 1, 1999 IFTC will receive as transfer  agent and
will pay to KSvC annual account fees of $10 ($18 for  retirement  plans) for set
up

                                       21
<PAGE>

charges and annual fees associated with the contingent deferred sales charge and
an asset-based fee of 0.08% plus an out of pocket expense reimbursement.

The following shows for each Portfolio, for the fiscal year ended July 31, 1998,
July 31, 1997 and for the period December 29, 1995  (commencement of operations)
to July 31, 1996, the shareholder service fees IFTC remitted to KSvC.
    

   
<TABLE>
<CAPTION>
                                                                                     December 29, 1995
                                Fiscal 1998                 Fiscal 1997               to July 31, 1996
      Portfolio           Fees IFTC Paid to KSvC      Fees IFTC Paid to KSvC       Fees IFTC Paid to KSvC
      ---------           ----------------------      ----------------------       ----------------------

<S>                              <C>                          <C>                          <C>
Horizon 20+                      $756,000                     224,000                      20,000
Horizon 10+                      $441,000                     179,000                      12,000
Horizon 5                        $167,000                     65,000                       5,000
    
</TABLE>

INDEPENDENT  AUDITORS  AND  REPORTS  TO  SHAREHOLDERS.  The  Fund's  independent
auditors,  Ernst & Young LLP, 233 South Wacker Drive,  Chicago,  Illinois 60606,
audit and report on the  Fund's  annual  financial  statements,  review  certain
regulatory reports and the Fund's federal income tax returns,  and perform other
professional accounting,  auditing, tax and advisory services when engaged to do
so by the Fund.  Shareholders will receive annual audited  financial  statements
and semi-annual unaudited financial statements.

LEGAL COUNSEL.  Vedder,  Price,  Kaufman & Kammholz,  222 North LaSalle  Street,
Chicago, Illinois 60601, serves as legal counsel to the Fund.

PURCHASE AND REDEMPTION OF SHARES

As described in the Fund's  prospectus,  shares of a Portfolio are sold at their
public offering  price,  which is the net asset value per share of the Portfolio
next determined  after an order is received in proper form plus, with respect to
Class A shares,  an initial  sales  charge.  The minimum  initial  investment is
$1,000 and the minimum  subsequent  investment is $100 but such minimum  amounts
may be changed at any time. See the  prospectus for certain  exceptions to these
minimums.  An order for the  purchase of shares that is  accompanied  by a check
drawn on a foreign  bank (other  than a check  drawn on a Canadian  bank in U.S.
Dollars) will not be considered in proper form and will not be processed  unless
and until the Fund  determines  that it has received  payment of the proceeds of
the check.  The time required for such a  determination  will vary and cannot be
determined in advance.

Upon  receipt by the  Shareholder  Service  Agent of a request  for  redemption,
shares of a Portfolio  will be redeemed by the Fund at the  applicable net asset
value per share of such Portfolio as described in the Fund's prospectus.

Scheduled  variations  in or the  elimination  of the initial  sales  charge for
purchases  of  Class A  shares  or the  contingent  deferred  sales  charge  for
redemptions of Class B shares or Class C shares by certain classes of persons or
through certain types of transactions as described in the prospectus is provided
because of anticipated economies in sales and sales related efforts.

The Fund may suspend the right of  redemption  or delay  payment more than seven
days (a) during any period when the New York Stock Exchange (the  "Exchange") is
closed other than customary weekend and holiday closings or during any period in
which  trading on the  Exchange  is  restricted,  (b) during any period  when an
emergency exists as a result of which (i) disposal of a Portfolio's  investments
is not reasonably practicable,  or (ii) it is not reasonably practicable for the
Fund to determine the value of a Portfolio's  net assets,  or (c) for such other
periods as the  Securities  and Exchange  Commission may by order permit for the
protection of the Fund's shareholders.

                                       22
<PAGE>

The  conversion  of Class B  shares  to Class A  shares  may be  subject  to the
continuing availability of an opinion of counsel, ruling by the Internal Revenue
Service or other  assurance  acceptable  to the Fund to the effect  that (a) the
assessment of the  distribution  services fee with respect to Class B shares and
not Class A shares  does not  result  in a  Portfolio's  dividends  constituting
"preferential  dividends"  under the  Internal  Revenue  Code,  and (b) that the
conversion  of Class B shares to Class A shares  does not  constitute  a taxable
event under the Internal Revenue Code. The conversion of Class B shares to Class
A shares may be suspended if such assurance is not available.  In that event, no
further  conversions of Class B shares would occur, and shares might continue to
be subject to the  distribution  services fee for an indefinite  period that may
extend beyond the proposed conversion date as described in the prospectus.

   
The  Fund  has  authorized  certain  members  of  the  National  Association  of
Securities Dealers, Inc. ("NASD"), other than Kemper Distributors,  Inc. ("KDI")
to accept  purchase and redemption  orders for the Fund's shares.  Those brokers
may also designate other parties to accept purchase and redemption orders on the
Fund's  behalf.  Orders for purchase or  redemption  will be deemed to have been
received by the Fund when such brokers or their authorized  designees accept the
orders.  Subject to the terms of the  contract  between the Fund and the broker,
ordinarily  orders  will be priced as the Fund's net asset  value next  computed
after  acceptance by such brokers or their  authorized  designees.  Further,  if
purchases or  redemptions  of the Fund's  shares are arranged and  settlement is
made at an investor's  election through any other  authorized NASD member,  that
member  may,  at its  discretion,  charge a fee for that  service.  The Board of
Trustees or  Directors as the case may be ("Board") of the Fund and KDI each has
the right to limit the  amount of  purchases  by,  and to refuse to sell to, any
person. The Board and KDI may suspend or terminate the offering of shares of the
Fund at any time for any reason.
    

DIVIDENDS AND TAXES

DIVIDENDS.  Each  Portfolio  normally  distributes  dividends of net  investment
income as follows: annually for the Horizon 20+ Portfolio; semi-annually for the
Horizon 10+ Portfolio and quarterly for the Horizon 5 Portfolio.  Each Portfolio
distributes  any net realized  short-term  and long-term  capital gains at least
annually.

The Fund may at any time vary its foregoing dividend  practices and,  therefore,
reserves  the  right  from  time to time to  either  distribute  or  retain  for
reinvestment  such of a Portfolio's net investment income and net short-term and
long-term  capital gains as the Board of Trustees  determines  appropriate under
the  then  current  circumstances.  In  particular,  and  without  limiting  the
foregoing,  the Fund may make  additional  distributions  of a  Portfolio's  net
investment  income or capital  gain net income in order to satisfy  the  minimum
distribution  requirements  contained in the Internal Revenue Code (the "Code").
Dividends  will be reinvested in shares of the Portfolio  paying such  dividends
unless  shareholders  indicate in writing that they wish to receive them in cash
or in shares of other Kemper Funds as described in the prospectus.

   
The level of income  dividends  per share (as a  percentage  of net asset value)
will be lower for Class B and Class C shares  than for Class A shares  primarily
as a result of the  distribution  services fee applicable to Class B and Class C
shares.  Distributions  of  capital  gains,  if any,  will  be paid in the  same
proportion for each class.

TAXES. Each Portfolio  intends to continue to qualify as a regulated  investment
company  under  Subchapter  M of the Code  and,  if so  qualified,  a  Portfolio
generally will not be liable for federal income taxes to the extent its earnings
are distributed.

                                       23
<PAGE>

To  so  qualify,   each  Portfolio   must  satisfy   certain  income  and  asset
diversification  requirements,  and must distribute to its shareholders at least
90% of its investment  company taxable income (including net short-term  capital
gain).

Each Portfolio is subject to a 4%  nondeductible  excise tax on amounts required
to be but not  distributed  under a  prescribed  formula.  The formula  requires
payment to shareholders during a calendar year of distributions  representing at
least 98% of the each  Portfolio's  ordinary  income for each calendar  year, at
least 98% of the excess of its capital gains over capital  losses  (adjusted for
certain  ordinary  losses) realized during the one-year period ending October 31
during such year, and all ordinary income and capital gains for prior years that
were not previously distributed.

Investment  company  taxable  income  includes   dividends,   interest  and  net
short-term  capital  gains in  excess  of net  long-term  capital  losses,  less
expenses.  Net realized  capital  gains for a fiscal year are computed by taking
into account any capital loss carryforward of the Portfolios.

If any net realized long-term capital gains in excess of net realized short-term
capital losses are retained by a Portfolio for  reinvestment,  requiring federal
income taxes to be paid thereon by the Portfolio, the Portfolios intend to elect
to treat such capital gains as having been  distributed  to  shareholders.  As a
result,  each  shareholder  will report such capital gains as long-term  capital
gains,  will be able to claim a relative  share of federal  income taxes paid by
the  Portfolio on such gains as a credit  against  personal  federal  income tax
liability,  and will be entitled to increase the adjusted tax basis on Portfolio
shares by the  difference  between a pro rata share of such gains  owned and the
individual tax credit.

Distributions  of investment  company taxable income are taxable to shareholders
as ordinary income.

Properly  designated  distributions of the excess of net long-term  capital gain
over net  short-term  capital  loss are  taxable to  shareholders  as  long-term
capital gains, regardless of the length of time the shares of the Portfolio have
been held by such  shareholders.  Such  distributions  are not  eligible for the
dividends-received  deduction.  Any loss realized upon the  redemption of shares
held at the time of  redemption  for six  months  or less will be  treated  as a
long-term  capital loss to the extent of any amounts treated as distributions of
long- term capital gain during such six-month period.

Distributions  of investment  company  taxable  income and net realized  capital
gains will be taxable as described above, whether received in shares or in cash.
Shareholders  electing to receive distributions in the form of additional shares
will have a cost basis for federal income tax purposes in each share so received
equal to the net asset value of a share on the reinvestment date.

All distributions of investment  company taxable income and net realized capital
gain,  whether  received  in  shares  or in  cash,  must  be  reported  by  each
shareholder on his or her federal income tax return. Dividends and capital gains
distributions  declared  in  October,   November  or  December  and  payable  to
shareholders  of record in such a month will be deemed to have been  received by
shareholders  on  December  31 if paid  during  January of the  following  year.
Redemptions of shares,  including exchanges for shares of another Scudder Kemper
fund, may result in tax  consequences  (gain or loss) to the shareholder and are
also subject to these reporting requirements.

A qualifying  individual may make a deductible IRA  contribution for any taxable
year only if (i) the  individual is not an active  participant  in an employer's
retirement  plan,  or (ii) if the  individual  is an  active  participant  in an
employee retirement plan and the individual has an adjusted gross income below a
certain level  ($50,000 for married  individuals  filing a joint return,  with a
phase-out  of the  deduction  for  adjusted  gross  income  between  $50,000 and
$60,000;  $30,000 for a single  individual,  with a phase-out for adjusted gross
income between  $30,000 and $40,000).  An individual is not considered an active
participant in an employer's  retirement plan if the  individual's  spouse is an
active participant in such a plan.  However,  in the case of a joint return, the
amount of the  deductible  contribution  by the  individual who is not an active
participant  (but  whose  spouse  is) is phased out for  adjusted  gross  income
between  $150,000 and $160,000.  However,  an individual not permitted to make a
deductible contribution to an IRA for any such taxable year may nonetheless make
nondeductible  contributions up to $2,000 to an IRA (up to $2,000 per individual
for married  couples if only

                                       24
<PAGE>

one  spouse has  earned  income)  for that  year.  There are  special  rules for
determining  how  withdrawals are to be taxed if an IRA contains both deductible
and nondeductible amounts. In general, a proportionate amount of each withdrawal
will be deemed to be made from nondeductible contributions; amounts treated as a
return  of  nondeductible  contributions  will  not  be  taxable.  Also,  annual
contributions  may be made to a spousal IRA even if the spouse has earnings in a
given year if the spouse  elects to be  treated as having no  earnings  (for IRA
contribution purposes) for the year.

If shares are held in a tax-deferred  account, such as a retirement plan, income
and gain will not be taxable each year. Instead,  the taxable portion of amounts
held in a  tax-deferred  account  generally  will be subject to tax as  ordinary
income only when distributed from that account.

Distributions by a Portfolio result in a reduction in the net asset value of the
Portfolio's  shares.  Should a  distribution  reduce the net asset value below a
shareholder's  cost basis such distribution would nevertheless be taxable to the
shareholder as ordinary  income or capital gain as described  above even though,
from an investment standpoint, it may constitute a partial return of capital. In
particular, investors should consider the tax implications of buying shares just
prior to a distribution. The price of shares purchased at that time includes the
amount  of the  forthcoming  distribution.  Those  purchasing  just  prior  to a
distribution   will  then   receive  a  partial   return  of  capital  upon  the
distribution, which will nevertheless be taxable to them.

Dividend and interest income received by the Portfolios from sources outside the
U.S.  may be subject to  withholding  and other  taxes  imposed by such  foreign
jurisdictions. Tax conventions between certain countries and the U.S. may reduce
or eliminate these foreign taxes,  however,  and foreign countries  generally do
not impose taxes on capital gains respecting investments by foreign investors.

The Portfolios may invest in shares of certain foreign corporations which may be
classified under the Code as passive foreign investment companies ("PFICs").  If
a Portfolio  receives a so-called  "excess  distribution"  with  respect to PFIC
stock,  the Portfolio  itself may be subject to a tax on a portion of the excess
distribution.  Certain  distributions from a PFIC as well as gains from the sale
of the PFIC shares are treated as "excess  distributions." In general, under the
PFIC rules, an excess  distribution  is treated as having been realized  ratably
over the period during which the Portfolio  held the PFIC shares.  The Portfolio
will be subject to tax on the portion, if any, of an excess distribution that is
allocated to prior Portfolio  taxable years and an interest factor will be added
to the tax, as if the tax had been payable in such prior taxable  years.  Excess
distributions  allocated  to the  current  taxable  year  are  characterized  as
ordinary  income even  though,  absent  application  of the PFIC rules,  certain
excess distributions might have been classified as capital gain.

The  Portfolios  may make an  election  to mark to  market  its  shares of these
foreign  investment  companies in lieu of being subject to U.S.  federal  income
taxation.  At the end of each  taxable  year to which the  election  applies,  a
Portfolio  would  report as ordinary  income the amount by which the fair market
value of the foreign  company's stock exceeds the Portfolio's  adjusted basis in
these shares;  any mark to market losses and any loss from an actual disposition
of shares would be  deductible as ordinary loss to the extent of any net mark to
market gains included in income in prior years. The effect of the election would
be to treat excess  distributions  and gain on  dispositions  as ordinary income
which is not subject to the Portfolio level tax when distributed to shareholders
as a dividend.  Alternatively, the Portfolios may elect to include as income and
gain its share of the ordinary  earnings and net capital gain of certain foreign
investment companies in lieu of being taxed in the manner described above.

Equity options  (including  covered call options on portfolio  stock) written or
purchased  by the  Portfolios  will be subject to tax under  Section 1234 of the
Code. In general, no loss is recognized by a Portfolio upon payment of a premium
in  connection  with the purchase of a put or call option.  The character of any
gain or loss recognized  (i.e.,  long-term or short-term) will generally depend,
in the case of a lapse or sale of the option, on the Portfolio's  holding period
for the option and, in the case of an exercise of the option, on the Portfolio's
holding  period for the  underlying  security.  The purchase of a put option may
constitute a short sale for federal  income tax purposes,  causing an adjustment
in the holding  period of the  underlying  security or  substantially  identical
security in the Portfolio's  portfolio.  If a Portfolio writes a call option, no
gain is  recognized  upon its receipt of a premium.  If the option  lapses or is
closed out, any gain or loss is treated as a short-term capital gain or loss. If
a call  option  is  exercised,  any  resulting  gain or loss  is  short-term  or
long-term

                                       25
<PAGE>

capital gain or loss depending on the holding period of the underlying security.
The exercise of a put option written by a Portfolio is not a taxable transaction
for the Portfolio.

Many futures and forward  contracts  entered into by a Portfolio  and all listed
nonequity  options written or purchased by a Portfolio  (including  covered call
options written on debt  securities and options  purchased or written on futures
contracts)  will be governed by Section 1256 of the Code.  Absent a tax election
to the contrary, gain or loss attributable to the lapse, exercise or closing out
of any such position will be treated as 60% long-term and 40% short-term, and on
the last trading day of the Portfolio's  fiscal year (and generally,  on October
31 for purposes of the 4% excise tax),  all  outstanding  Section 1256 positions
will be marked-to-market  (i.e., treated as if such positions were closed out at
their closing price on such day),  with any resulting gain or loss recognized as
60%  long-term  and 40%  short-term.  Under  Section 988 of the Code,  discussed
below,  foreign  currency  gain or loss from  foreign  currency-related  forward
contracts, certain futures and options and similar financial instruments entered
into or  acquired by a  Portfolio  will be treated as  ordinary  income or loss.
Under certain  circumstances,  entry into a futures  contract to sell a security
may  constitute  a short  sale for  federal  income  tax  purposes,  causing  an
adjustment in the holding period of the underlying  security or a  substantially
identical security in the Portfolio's portfolio.

Positions of the  Portfolios  consisting  of at least one stock and at least one
stock  option  or other  position  with  respect  to a  related  security  which
substantially diminishes the Portfolios' risk of loss with respect to such stock
could be treated as a "straddle"  which is governed by Section 1092 of the Code,
the operation of which may cause deferral of losses,  adjustments in the holding
periods of stock or securities and conversion of short-term  capital losses into
long-term  capital  losses.  An exception to these straddle rules exists for any
"qualified covered call options" on stock written by a Portfolio.

Positions  of a Portfolio  consisting  of at least one  position not governed by
Section  1256 and at least one future,  forward,  or nonequity  option  contract
which is governed by Section 1256 which substantially diminishes the Portfolio's
risk of loss with  respect  to such other  position  will be treated as a "mixed
straddle." Although mixed straddles are subject to the straddle rules of Section
1092 of the Code, certain tax elections exist for them which reduce or eliminate
the operation of these rules.  Each Portfolio will monitor its  transactions  in
options and futures and may make certain tax elections in connection  with these
investments.

Notwithstanding  any of the  foregoing,  recent tax law  changes  may  require a
Portfolio to recognize gain (but not loss) from a  constructive  sale of certain
"appreciated  financial  positions"  if a  Portfolio  enters  into a short sale,
offsetting notional principal contract,  futures or forward contract transaction
with respect to the appreciated  position or substantially  identical  property.
Appreciated  financial positions subject to this constructive sale treatment are
interests (including options,  futures and forward contracts and short sales) in
stock,  partnership  interests,  certain  actively traded trust  instruments and
certain debt instruments.  Constructive sale treatment of appreciated  financial
positions  does not apply to certain  transactions  closed in the 90-day  period
ending with the 30th day after the close of the  Portfolio's  taxable  year,  if
certain conditions are met.

Similarly,  if a Portfolio  enters into a short sale of  property  that  becomes
substantially  worthless,  the Portfolio  will be required to recognize  gain at
that time as though it had closed the short sale.  Future  regulations may apply
similar treatment to other strategic  transactions with respect to property that
becomes substantially worthless.

Under the Code,  gains or losses  attributable to fluctuations in exchange rates
which occur  between the time a Portfolio  accrues  receivables  or  liabilities
denominated in a foreign currency and the time the Portfolio  actually  collects
such  receivables  or pays such  liabilities  generally  are treated as ordinary
income  or  ordinary  loss.   Similarly,   on  disposition  of  debt  securities
denominated  in a foreign  currency,  and on  disposition  of  certain  futures,
forward or options  contracts,  gains or losses  attributable to fluctuations in
the value of foreign currency between the date of acquisition of the security or
contracts and the date of disposition are also treated as ordinary gain or loss.
These  gains or losses,  referred  to under the Code as  "Section  988" gains or
losses, may increase or decrease the amount of a Portfolio's  investment company
taxable income to be distributed to its shareholders as ordinary income.

If a Portfolio holds zero coupon securities or other securities which are issued
at a discount a portion of the  difference  between the issue price and the face
value of such securities  ("original  issue discount") will be treated as income
to the  Portfolio  each year,  even though the  Portfolio  will not receive cash
interest payments

                                       26
<PAGE>

from these  securities.  This  original  issue  discount  (imputed  income) will
comprise a part of the investment  company taxable income of the Portfolio which
must be distributed to  shareholders in order to maintain the  qualification  of
the Portfolio as a regulated  investment company and to avoid federal income tax
at the  Portfolio  level.  In addition,  if a Portfolio  invests in certain high
yield original issue discount  obligations issued by corporations,  a portion of
the original issue  discount  accruing on the obligation may be eligible for the
deduction for dividends  received by  corporations.  In such an event,  properly
designated  dividends of investment  company  taxable  income  received from the
Portfolio by its  corporate  shareholders,  to the extent  attributable  to such
portion  of the  accrued  original  issue  discount,  may be  eligible  for  the
deduction received by corporations.

If a Portfolio acquires a debt instrument at a market discount, a portion of the
gain  recognized (if any) on  disposition  of such  instrument may be treated as
ordinary income.

The  Portfolios  will be  required  to  report to the IRS all  distributions  of
taxable  income and capital gains as well as gross  proceeds from the redemption
or  exchange  of  Portfolio  shares,  except  in  the  case  of  certain  exempt
shareholders.  Under the backup  withholding  provisions  of Section 3406 of the
Code,  distributions  of taxable  income and capital gains and proceeds from the
redemption  or exchange of the shares of a regulated  investment  company may be
subject to  withholding  of federal income tax at the rate of 31% in the case of
non-exempt  shareholders  who fail to furnish the investment  company with their
taxpayer identification numbers and with required certifications regarding their
status under the federal income tax law. Withholding may also be required if the
Portfolios are notified by the IRS or a broker that the taxpayer  identification
number  furnished by the  shareholder is incorrect or that the  shareholder  has
previously  failed to report  interest or dividend  income.  If the  withholding
provisions are applicable, any such distributions and proceeds, whether taken in
cash or reinvested in additional shares, will be reduced by the amounts required
to be withheld.

A shareholder  who redeems shares of a Portfolio will recognize  capital gain or
loss for federal  income tax  purposes  measured by the  difference  between the
value of the shares redeemed and the adjusted cost basis of the shares. Any loss
recognized on the redemption of Portfolio shares held six months or less will be
treated  as  long-term  capital  loss to the  extent  that the  shareholder  has
received any long-term  capital gain dividends on such shares. A shareholder who
has redeemed shares of a Portfolio or any other Kemper Mutual Fund listed in the
prospectus under "Special  Features-Class A  Shares-Combined  Purchases"  (other
than shares of Kemper Cash  Reserves  Fund not acquired by exchange from another
Kemper  Mutual Fund) may reinvest the amount  redeemed at net asset value at the
time of the  reinvestment  in  shares of a  Portfolio  or in shares of the other
Kemper  Mutual  Funds  within six months of the  redemption  as described in the
prospectus under "Redemption or Repurchase of Shares-Reinvestment Privilege." If
redeemed  shares  were held less than 91 days,  then the lesser of (a) the sales
charge waived on the reinvested  shares, or (b) the sales charge incurred on the
redeemed  shares,  is included in the basis of the reinvested  shares and is not
included in the basis of the redeemed shares.  If a shareholder  realizes a loss
on the redemption or exchange of a Portfolio's shares and reinvests in shares of
another Portfolio within 30 days before or after the redemption or exchange, the
transactions  may be subject to the wash sale rules  resulting in a postponement
of the recognition of such loss for federal income tax purposes.  An exchange of
a Portfolio's  shares for shares of another fund is treated as a redemption  and
reinvestment  for  federal  income tax  purposes  upon which gain or loss may be
recognized.

Shareholders  of each  Portfolio  may be  subject  to state and  local  taxes on
distributions  received from the Portfolio and on redemptions of the Portfolio's
shares.

Each  distribution  is  accompanied  by a  brief  explanation  of the  form  and
character of the  distribution.  In January of each year the Portfolios issue to
each   shareholder  a  statement  of  the  federal  income  tax  status  of  all
distributions.

The foregoing  discussion of U.S.  federal  income tax law relates solely to the
application of that law to U.S.  persons,  i.e., U.S. citizens and residents and
U.S. corporations, partnerships, trusts and estates. Each shareholder who is not
a U.S. person should consider the U.S. and foreign tax consequences of ownership
of shares of a Portfolio,  including the possibility that such a shareholder may
be subject to a U.S.  withholding tax at a rate of 30% (or at a lower rate under
an  applicable  income  tax  treaty)  on amounts  constituting  ordinary  income
received  by him or her,  where such  amounts  are  treated as income  from U.S.
sources under the Code.

                                       27
<PAGE>

Shareholders  should  consult their tax advisers  about the  application  of the
provisions of tax law in light of their particular tax situations.
    

PERFORMANCE

As described in the  prospectus,  each  Portfolio's  historical  performance  or
return for a class of shares may be shown in the form of "average  annual  total
return" and "total return"  figures.  These various  measures of performance are
described below.  Performance  information will be computed  separately for each
class of each Portfolio.

Each Portfolio's average annual total return quotation is computed in accordance
with a  standardized  method  prescribed by rules of the Securities and Exchange
Commission.  The average  annual  total  return for a  Portfolio  for a specific
period  is found by first  taking a  hypothetical  $1,000  investment  ("initial
investment") in the Portfolio's shares on the first day of the period, adjusting
to  deduct  the  maximum  sales  charge  (in the  case of Class A  shares),  and
computing the  "redeemable  value" of that  investment at the end of the period.
The  redeemable  value in the case of Class B shares or Class C shares  includes
the  effect of the  applicable  contingent  deferred  sales  charge  that may be
imposed at the end of the period.  The  redeemable  value is then divided by the
initial  investment,  and this quotient is taken to the Nth root (N representing
the number of years in the period) and 1 is subtracted from the result, which is
then  expressed as a  percentage.  The  calculation  assumes that all income and
capital gains  dividends paid by the Portfolio have been reinvested at net asset
value on the reinvestment  dates during the period.  Average annual total return
may also be calculated without deducting the maximum sales charge.

   
<TABLE>
<CAPTION>

          Average Annual Total Return for the year ended July 31, 1998
          ------------------------------------------------------------
                    (Adjusted for the maximum sales charge)
                    ---------------------------------------

                                                              1-Year            Life of
                                                              ------            Fund*
                                                                                -------

<S>               <C>                                         <C>               <C>
Horizon 20+       Class A                                     2.75%             14.12%
                  Class B                                     4.98              14.78
                  Class C                                     7.97              15.72

Horizon 10+       Class A                                     3.46              11.98
                  Class B                                     5.85              12.70
                  Class C                                     8.83              13.55

Horizon 5         Class A                                     1.59              8.35
                  Class B                                     4.27              9.19
                  Class C                                     7.10              10.12
* Since 12/29/95.
    
</TABLE>

Calculation  of a  Portfolio's  total  return is not  subject to a  standardized
formula,  except when  calculated  for  purposes of the  Portfolio's  "Financial
Highlights"  table in the Fund's  financial  statements  and  prospectus.  Total
return  performance  for a  specific  period is  calculated  by first  taking an
investment  ("initial  investment") in a Portfolio's  shares on the first day of
the period, either adjusting or not adjusting to deduct the maximum sales charge
(in the case of Class A  shares),  and  computing  the  "ending  value"  of that
investment  at the  end of the  period.  The  total  return  percentage  is then
determined  by  subtracting  the initial  investment  from the ending  value and
dividing the remainder by the initial  investment and expressing the result as a
percentage.  The  ending  value in the case of Class B shares and Class C shares
may or may not include the effect of the  applicable  contingent  deferred sales
charge that may be imposed at the end of the  period.  The  calculation  assumes
that all income and capital  gains  dividends  paid by the  Portfolio  have been

                                       28
<PAGE>

reinvested at net asset value on the reinvestment dates during the period. Total
return  may also be  shown as the  increased  dollar  value of the  hypothetical
investment over the period.  Total return  calculations  that do not include the
effect of the sales charge for Class A shares or the  contingent  deferred sales
charge  for Class B shares and Class C shares  would be reduced if such  charges
were included.

A Portfolio's  performance figures are based upon historical results and are not
representative of future  performance.  Each Portfolio's Class A shares are sold
at net asset value plus a maximum  sales charge of 5.75% of the offering  price.
Class B shares and Class C shares are sold at net asset  value.  Redemptions  of
Class B shares may be subject to a contingent  deferred  sales charge that is 4%
in the first year  following  the purchase,  declines by a specified  percentage
thereafter and becomes zero after six years. Redemption of Class C shares may be
subject to a 1%  contingent  deferred  sales charge in the first year  following
purchase.  Returns and net asset value will  fluctuate.  Factors  affecting each
Portfolio's  performance  include general market conditions,  operating expenses
and  investment  management.  Any  additional  fees charged by a dealer or other
financial  services  firm would reduce the returns  described  in this  section.
Shares of each  Portfolio  are  redeemable  at the then current net asset value,
which may be more or less than original cost.

                                       29
<PAGE>

Investors may want to compare the  performance of a Portfolio to certificates of
deposit  issued by banks  and other  depository  institutions.  Certificates  of
deposit may offer fixed or variable  interest  rates and principal is guaranteed
and may be insured.  Withdrawal  of deposits  prior to maturity will normally be
subject to a penalty.  Rates offered by banks and other depository  institutions
are  subject  to  change  at any  time  specified  by the  issuing  institution.
Information  regarding bank products may be based upon, among other things,  the
BANK RATE  MONITOR  National  Index for  certificates  of  deposit,  which is an
unmanaged index and is based on stated rates and the annual  effective yields of
certificates of deposit in the ten largest banking markets in the United States,
or the CDA Investment Technologies,  Inc. Certificate of Deposit Index, which is
an  unmanaged  index  based on the average  monthly  yields of  certificates  of
deposit.

Investors  also may want to compare the  performance  of a Portfolio  to that of
U.S. Treasury bills, notes or bonds. Treasury obligations are issued in selected
denominations.  Rates of Treasury  obligations are fixed at the time of issuance
and payment of principal  and interest is backed by the full faith and credit of
the U.S. Treasury. The market value of such instruments will generally fluctuate
inversely  with  interest  rates prior

                                       30
<PAGE>

to maturity  and will equal par value at  maturity.  Information  regarding  the
performance of Treasury  obligations may be based upon, among other things,  the
Towers Data Systems U.S. Treasury Bill index,  which is an unmanaged index based
on the average  monthly yield of treasury bills  maturing in six months.  Due to
their short  maturities,  Treasury bills  generally  experience  very low market
value volatility.

Investors may want to compare the  performance of a Portfolio to the performance
of two  indexes,  such  as,  in  the  case  of  the  Horizon  10+  Portfolio,  a
hypothetical portfolio weighted 60% in the Standard & Poor's 500 Stock Index (an
unmanaged  index generally  representative  of the U.S. stock market) and 40% in
the  Lehman  Brothers   Government/Corporate  Bond  Index  (an  unmanaged  index
generally representative of intermediate and long-term government and investment
grade  corporate debt  securities).  For the percentage of a Portfolio's  assets
invested in each type of security, see "Investment Objectives, Policies and Risk
Factors" in the Prospectus.

Investors  may want to compare the  performance  of a Portfolio to that of money
market  funds.  Money market funds seek to maintain a stable net asset value and
yield  fluctuates.  Information  regarding the performance of money market funds
may be based upon,  among other things,  IBC/Donoghue's  Money Fund  Averages(R)
(All Taxable).  As reported by IBC/Donoghue's,  all investment results represent
total  return  (annualized  results  for the period net of  management  fees and
expenses) and one year investment  results are effective  annual yields assuming
reinvestment of dividends.

   
From time to time the  Portfolios  may  include in their  sales  communications,
ranking and rating information received from various  organizations,  to include
but not be limited to ratings from  Morningstar,  Inc. and rankings  from Lipper
Analytical Services, Inc. ("Lipper"), New York, New York, which is a mutual fund
reporting service.

The  following  tables  compare  the  performance  of the Class A shares of each
Portfolio  over  various  periods  with that of other  mutual  funds  within the
categories  described  below  according  to data  reported  by  Lipper .  Lipper
performance figures are based on changes in net asset value, with all income and
capital gain dividends  reinvested.  Such calculations do not include the effect
of any sales charges. Future performance cannot be guaranteed.  Lipper publishes
performance  analyses on a regular  basis.  Each category  includes funds with a
variety of  objectives,  policies  and market  and credit  risks that  should be
considered in reviewing these rankings.
    

<TABLE>
<CAPTION>
   
                                                                   Lipper Perfomance Analysis
                Horizon 20+ A Shares                                Flexible Portfolio Funds
                --------------------                                ------------------------

          <S>   <C>                                                <C>     <C>
          One year (period ended 7/31/98)                                  117 of 204

                                                                   Lipper Perfomance Analysis
                Horizon 10+ A Shares                                Balanced Portfolio Funds
                --------------------                                ------------------------

          One year (period ended 7/31/98)                                  188 of 379

                                                                   Lipper Perfomance Analysis
                 Horizon 5 A Shares                                  Income Portfolio Funds
                 ------------------                                  ----------------------

          One year (period ended 7/31/98)                                   42 of 78
    
</TABLE>

                                       31

<PAGE>
   
OFFICERS AND TRUSTEES

The  officers  and  trustees  of the Fund,  their  birthdates,  their  principal
occupations and their affiliations,  if any, with the Adviser and KDI are listed
below:

JAMES E. AKINS (10/15/26),  Trustee,  2904 Garfield Terrace,  N.W.,  Washington,
D.C.; Consultant on International,  Political and Economic Affairs;  formerly, a
career United  States  Foreign  Service  Officer,  Energy  Adviser for the White
House; United States Ambassador to Saudi Arabia, 1973-76.

ARTHUR R. GOTTSCHALK  (2/13/25),  Trustee,  10642 Brookridge  Drive,  Frankfort,
Illinois,  Retired;  formerly,  President,  Illinois Manufacturers  Association;
Trustee,  Illinois  Masonic  Medical Center;  formerly,  Illinois State Senator;
formerly, Vice President, The Reuben H. Donnelly Corp.

FREDERICK T. KELSEY (4/25/27),  Trustee,  4010 Arbor Lane, Unit 402, Northfield,
Illinois;  Retired;  formerly,  consultant  to Goldman,  Sachs & Co.;  formerly,
President,  Treasurer  and  Trustee  of  Institutional  Liquid  Assets  and  its
affiliated mutual funds;  Trustee of the Benchmark Funds;  formerly,  Trustee of
the Pilot Funds.

DANIEL PIERCE (3/18/34), Trustee and Chairman*, Two International Place, Boston,
Massachusetts; Managing Director, Adviser.

FRED B.  RENWICK  (2/1/30),  Trustee,  3 Hanover  Square,  New  York,  New York;
Professor of Finance, New York University,  Stern School of Business;  Director,
TIFF Investment Program, Inc.; Director, the Wartburg Home Foundation; Chairman,
Investment Committee of Morehouse College Board of Trustees;  Chairman, American
Bible Society Investment Committee; formerly, member of the Investment Committee
of Atlanta University Board of Trustees; formerly, Director of Board of Pensions
Evangelical Lutheran Church of America.

JOHN B. TINGLEFF (5/4/35), Trustee, 2015 South Lake Shore Drive, Harbor Springs,
Michigan;  Retired;  formerly,  President,  Tingleff  &  Associates  (management
consulting firm); formerly, Senior Vice President, Continental Illinois National
Bank & Trust Company.

EDMOND D.  VILLANI  (3/4/47),  Trustee*,  345 Park Avenue,  New York,  New York;
President, Chief Executive Officer and Managing Director, Adviser.

JOHN G.  WEITHERS  (8/8/33),  Trustee,  311  Spring  Lake,  Hinsdale,  Illinois;
Retired;  formerly,  Chairman of the Board and Chief Executive Officer,  Chicago
Stock  Exchange;  Director,  Federal Life  Insurance  Company,  President of the
Members of the Corporation and Trustee,  DePaul  University;  Director,  Systems
Imagineering, Inc.

                                       32
<PAGE>

PHILIP J. COLLORA (11/15/45), Vice President and Secretary*, 222 South Riverside
Plaza,  Chicago,  Illinois;   Attorney,  Senior  Vice  President  and  Assistant
Secretary, Scudder Kemper.

ELIZABETH C. WERTH (10/1/47),  Assistant Secretary*,  222 South Riverside Plaza,
Chicago,  Illinois; Vice President,  Scudder Kemper; Vice President and Director
of State Registrations, KDI.

THOMAS W. LITTAUER (4/26/55), Vice President*,  Two International Place, Boston,
Massachusetts;  Managing Director, Adviser; Head of Broker Dealer Division of an
unaffiliated investment management firm during 1997; prior thereto, President of
Client Management  Services of an unaffiliated  investment  management firm from
1991 to 1996.

ANN M. McCREARY (11/6/56), Vice President*, 345 Park Avenue, New York, New York;
Managing Director, Adviser.

KATHRYN L. QUIRK  (12/3/52),  Vice  President*,  345 Park Avenue,  New York, New
York; Managing Director, Adviser.

LINDA J. WONDRACK (9/12/64),  Vice President*,  Two International Place, Boston,
Massachusetts; Senior Vice President, Adviser.

JOHN  R.  HEBBLE  (6/27/58),   Treasurer*,   Two  International  Place,  Boston,
Massachusetts; Senior Vice President, Adviser.

BRENDA LYONS (2/21/63) Assistant  Treasurer*,  Two International  Place, Boston,
Massachusetts; Senior Vice President, Adviser.

CAROLINE  PEARSON  (4/1/62),  Assistant  Secretary*,  Two  International  Place,
Boston,  Massachusetts;  Senior Vice President,  Adviser;  formerly,  Associate,
Dechert Price & Rhoads (law firm) 1989 to 1997.

MAUREEN  E. KANE  (2/14/62),  Assistant  Secretary*,  Two  International  Place,
Boston,  Massachusetts;   Vice  President,  Adviser;  formerly,  Assistant  Vice
President  of  an  unaffiliated   investment  management  firm;  prior  thereto,
Associate  Staff  Attorney  of  an  unaffiliated   investment  management  firm;
Associate, Peabody & Arnold (law firm).

MARK  S.  CASADY  (9/21/60),   President*,   Two  International  Place,  Boston,
Massachusetts; Managing Director, Adviser; formerly, Institutional Sales Manager
of an unaffiliated mutual fund distributor.

PHILIP S. FORTUNA  (11/30/57),  Vice  President*,  101  California  Street,  San
Francisco, California; Managing Director, Adviser.
    

                                       33
<PAGE>

*        "Interested persons" as defined in the Investment Company Act of 1940.

   
The  trustees  and officers who are  "interested  persons" as  designated  above
receive no compensation  from the Fund. The table below shows amounts  estimated
to be paid or  accrued  to those  trustees  who are not  designated  "interested
persons" during the Fund's 1998 fiscal year and the total  compensation that the
Kemper funds paid to such trustees during the calendar year 1997.
    
   
<TABLE>
<CAPTION>
                                                                                Total Compensation
                                        Aggregate Compensation                   Kemper Funds Paid
Name of Board Member                           from Fund                        to Board Members(2)
- --------------------                           ---------                        -------------------

<S>                                             <C>                                  <C>
James E. Akins                                  $5,400                               $106,300
Arthur R. Gottschalk(1)                         $5,900                               $121,100
Frederick T. Kelsey                             $5,400                               $111,300
Fred B. Renwick                                 $5,400                               $106,300
John B. Tingleff                                $5,400                               $106,300
John G. Weithers                                $5,400                               $106,300
</TABLE>

(1)  Includes   deferred  fees  and  interest   thereon   pursuant  to  deferred
compensation  agreements with the Fund. Deferred amounts accrue interest monthly
at a rate equal to the yield of Zurich  Money Funds -- Zurich Money Market Fund.
Total  deferred fees and interest  accrued for the latest and prior fiscal years
for this Fund are $10,400 for Mr.  Gottschalk.

(2) Includes  compensation for service on the Boards of 13 Kemper funds, with 36
fund  portfolios.  Each trustee  currently serves as a board member of 15 Kemper
Funds with 51 fund portfolios.  Total compensation does not reflect amounts paid
by Scudder Kemper Investments,  Inc. to the board members for meetings regarding
the  combination  of Scudder and Zurich  Kemper  Investments,  Inc. Such amounts
totaled  $42,800,  $40,100,  $39,000,  $42,900,  $42,900 and $42,900 for Messrs.
Akins, Gorrschalk, Kelsey, Renwick, Tingleff and Weithers, respectively.

As of November 2, 1998,  the  officers and trustees of the Fund as a group owned
less than 1% of each Portfolio.
    

Principal Holders of Securities

   
As of  October  30,  1998 the  following  owned of  record  more  than 5% of the
outstanding stock of the Portfolios as set forth below.

<TABLE>
<CAPTION>
                                  HORIZON 20+
                                  -----------

Name and Address                                        Class                          Percentage
- ----------------                                        -----                          ----------

<S>                                                       <C>                             <C>
National Financial Svcs Corp.                             B                               6.68
200 Liberty Street
New York, NY  10281

Scudder Kemper Investments, Inc.                          I                              13.41
Money Purchase Plan #62524
Attn: Peter Drexler
345 Park Avenue
New York, NY  10154

Scudder Kemper Investments, Inc.                          I                              84.59
Profit Sharing Plan #61486
Attn: Peter Drexler
345 Park Avenue

                                       34
<PAGE>

New York, NY  10154

HORIZON 10+
- -----------

Name and Address                                        Class                          Percentage
- ----------------                                        -----                          ----------

Prudential Trust FBO                                      A                              12.51
Defined Contribution
Plan Customers
30 Scranton Office Park
Scranton, PA  18507

National Financial Svcs Corp.                             B                              11.85
200 Liberty Street
New York, NY  10281

Scudder Kemper Investments, Inc.                          I                               7.70
Money Purchase Plan #62524
Attn: Peter Drexler
345 Park Avenue
New York, NY  10154

ZKI Inc.  NON-QUA DEF C                                   I                              27.58
Lasalle National Bank TTEE
222 S. Riverside Plaza 24th FL
Chicago, IL  60606

Scudder Kemper Investments, Inc.                          I                              63.93
Profit Sharing Plan #61486
Attn: Peter Drexler
345 Park Avenue
New York, NY  10154

HORIZON 5+
- ----------

Name and Address                                        Class                          Percentage
- ----------------                                        -----                          ----------

National Financial Svcs Corp.,                            A                               5.70
200 Liberty Street
New York, NY  10281

National Financial Svcs Corp.,                            B                               8.85
200 Liberty Street
New York, NY  10281

Everen Clearing Corp.                                     B                               5.25
Attn: Chris Scotto
111 E. Kilbourn Ave.
Milwaukee, WI 53202

Investors Fiduciary Trust (IFTC)                          C                               5.16
811 Main Street

                                       35
<PAGE>

Kansas City, MO  64105

Rogers Petroleum Company                                  C                               5.67
8511 141st Street CT W
Saint Paul, MN  55124

Donaldson Lufkin Jenrette                                 C                               6.44
Securities Corp. Inc.
PO Box 2052
Jersey City, NJ  07303

Scudder Kemper Investments, Inc.                          I                               6.59
Money Purchase Plan #62524
Attn: Peter Drexler
345 Park Avenue
New York, NY  10154

ZKI Inc.  NON-QUA DEF C                                   I                              35.01
Lasalle National Bank TTEE
222 S. Riverside Plaza 24th FL
Chicago, IL  60606

Scudder Kemper Investments, Inc.                          I                              58.35
Profit Sharing Plan #61486
Attn: Peter Drexler
345 Park Avenue
New York, NY  10154
    
</TABLE>

                                       36
<PAGE>

*        Record and beneficial owner.
**       Record owner only.

SHAREHOLDER RIGHTS

The Fund generally is not required to hold meetings of the  shareholders.  Under
the Agreement and  Declaration  of Trust of the Fund  ("Declaration  of Trust"),
however,  shareholder  meetings  will be held in  connection  with the following
matters: (a) the election or removal of trustees if a meeting is called for such
purpose;  (b) the  adoption of any contract  for which  shareholder  approval is
required by the Investment

                                       37
<PAGE>

Company Act of 1940 ("1940 Act");  (c) any  termination of the Fund, a Portfolio
or a class to the extent and as provided in the  Declaration  of Trust;  (d) any
amendment of the Declaration of Trust (other than  amendments  changing the name
of the Fund, supplying any omission,  curing any ambiguity or curing, correcting
or supplementing any defective or inconsistent  provision thereof); and (e) such
additional  matters as may be required by law,  the  Declaration  of Trust,  the
By-laws of the Fund, or any  registration  of the Fund with the  Securities  and
Exchange  Commission or any state, or as the trustees may consider  necessary or
desirable.  The  shareholders  also  would  vote  upon  changes  in  fundamental
investment objectives, policies or restrictions.

Each trustee serves until the next meeting of  shareholders,  if any, called for
the purpose of electing  trustees and until the election and  qualification of a
successor or until such trustee sooner dies, resigns, retires or is removed by a
majority vote of the shares entitled to vote (as described  below) or a majority
of the  trustees.  In  accordance  with the 1940  Act (a) the Fund  will  hold a
shareholder  meeting  for the  election  of trustees at such time as less than a
majority of the  trustees  have been elected by  shareholders,  and (b) if, as a
result  of a vacancy  in the Board of  Trustees,  less  than  two-thirds  of the
trustees have been elected by the shareholders, that vacancy will be filled only
by a vote of the shareholders.

Trustees  may be removed  from  office by a vote of the holders of a majority of
the outstanding  shares of the Fund at a meeting called for that purpose,  which
meeting  shall be held upon the written  request of the holders of not less than
10%  of the  outstanding  shares.  Upon  the  written  request  of  ten or  more
shareholders  who have  been such for at least six  months  and who hold  shares
constituting at least 1% of the outstanding shares of the Fund stating that such
shareholders wish to communicate with the other  shareholders for the purpose of
obtaining the signatures  necessary to demand a meeting to consider removal of a
trustee,  the Fund has  undertaken to disseminate  appropriate  materials at the
expense of the requesting shareholders.

The Fund's  Declaration  of Trust  provides  that the presence at a  shareholder
meeting in person or by proxy of at least 30% of the shares  entitled to vote on
a matter shall constitute a quorum.  Thus, a meeting of shareholders of the Fund
could  take  place  even  if  less  than  a  majority  of the  shareholders  was
represented  on its  scheduled  date.  Shareholders  would  in  such  a case  be
permitted  to take action that does not require a larger vote than a majority of
a quorum,  such as the election of trustees and ratification of the selection of
auditors.  Some matters  requiring a larger vote under the Declaration of Trust,
such as termination or reorganization of the Fund and certain  amendments of the
Declaration of Trust, would not be affected by this provision; nor would matters
that  under the 1940 Act  require  the vote of a  "majority  of the  outstanding
voting securities" as defined in the 1940 Act.

The Fund's Declaration of Trust specifically authorizes the Board of Trustees to
terminate  the Fund or any  Portfolio  or class by  notice  to the  shareholders
without shareholder approval.

   
Under Massachusetts law,  shareholders of a Massachusetts  business trust could,
under certain  circumstances,  be held personally  liable for obligations of the
Fund. The Declaration of Trust,  however,  disclaims  shareholder  liability for
acts or obligations  of the Fund and requires that notice of such  disclaimer be
given in each agreement,  obligation,  or instrument entered into or executed by
the Fund or the Fund's trustees. Moreover, the Declaration of Trust provides for
indemnification  out of  Fund  property  for  all  losses  and  expenses  of any
shareholder held personally  liable for the obligations of the Fund and the Fund
will be covered by  insurance  which the  trustees  consider  adequate  to cover
foreseeable  tort claims.  Thus, the risk of a shareholder  incurring  financial
loss on account of shareholder  liability is considered by Scudder Kemper remote
and not material,  since it is limited to circumstances in which a disclaimer is
inoperative and the Fund itself is unable to meet its obligations.
    

                                       38
<PAGE>

APPENDIX -- RATINGS OF FIXED INCOME INVESTMENTS

Standard & Poor's Corporation Bond Ratings

AAA.  Debt  rated AAA has the  highest  rating  assigned  by  Standard & Poor's.
Capacity to pay interest and repay principal is extremely strong.

AA. Debt rated AA has a very strong capacity to pay interest and repay principal
and differs from the higher rated issues only in small degree.

A. Debt  rated A has a strong  capacity  to pay  interest  and  repay  principal
although it is somewhat more  susceptible  to the adverse  effects of changes in
circumstances and economic conditions than debt in higher rated categories.

BBB.  Debt rated BBB is regarded as having an adequate  capacity to pay interest
and  repay  principal.   Whereas  it  normally  exhibits   adequate   protection
parameters,  adverse  economic  conditions  or changing  circumstances  are more
likely to lead to a weakened  capacity to pay interest and repay  principal  for
debt in this category than in higher rated categories.

BB, B, CCC, CC, C. Debt rated BB, B, CCC, CC and C is regarded,  on balance,  as
predominantly  speculative  with  respect to capacity to pay  interest and repay
principal in  accordance  with the terms of the  obligation.  BB  indicates  the
lowest degree of speculation and C the highest degree of speculation. While such
debt will likely have some  quality and  protective  characteristics,  these are
outweighed by large uncertainties or major risk exposures to adverse conditions.

CI. The rating CI is  reserved  for income  bonds on which no  interest is being
paid.

D. Debt rated D is in  default,  and  payment of interest  and/or  repayment  of
principal is in arrears. Moody's Investors Service, Inc. Bond Ratings.

Aaa. Bonds which are rated Aaa are judged to be of the best quality.  They carry
the  smallest  degree  of  investment  risk  and are  generally  referred  to as
"gilt-edge."  Interest  payments are protected by a large or by an exceptionally
stable margin and principal is secure. While the various protective elements are
likely to change,  such changes as can be visualized are most unlikely to impair
the fundamentally strong position of such issues.

Aa. Bonds which are rated Aa are judged to be of high quality by all  standards.
Together with the Aaa group they comprise what are generally known as high grade
bonds.  They are rated lower than the best bonds  because  margins of protection
may not be as large as in Aaa securities or  fluctuation of protective  elements
may be of greater  amplitude or there may be other  elements  present which make
the long term risks appear somewhat larger than in Aaa securities.

A. Bonds which are rated A possess many favorable investment  attributes and are
to be considered as upper medium grade  obligations.  Factors giving security to
principal and interest are considered adequate but elements may be present which
suggest a susceptibility to impairment sometime in the future.

Baa. Bonds which are rated Baa are considered as medium grade obligations, i.e.,
they are neither  highly  protected nor poorly  secured.  Interest  payments and
principal  security  appear  adequate  for the present  but  certain  protective
elements may be lacking or may be  characteristically  unreliable over any great
length of time. Such bonds lack outstanding  investment  characteristics  and in
fact have speculative characteristics as well.

                                       39
<PAGE>

Ba.  Bonds  which are rated Ba are judged to have  speculative  elements;  their
future cannot be considered  as well assured.  Often the  protection of interest
and  principal  payments may be very  moderate and thereby not well  safeguarded
during  both  good  and bad  times  over the  future.  Uncertainty  of  position
characterizes bonds in this class.

B. Bonds  which are rated B  generally  lack  characteristics  of the  desirable
investment.  Assurance of interest and principal  payments or of  maintenance of
other terms of the contract over any long period of time may be small.

Caa.  Bonds  which are rated Caa are of poor  standing.  Such  issues  may be in
default or there may be present  elements of danger with respect to principal or
interest.

Ca. Bonds which are rated Ca represent  obligations  which are  speculative in a
high degree. Such issues are often in default or have other marked shortcomings.

C.  Bonds  which are rated C are the lowest  rated  class of bonds and issues so
rated can be regarded as having  extremely  poor prospects of ever attaining any
real investment standing.

Fitch Investors Service, Inc. Bond Ratings

AAA.  Bonds rated AAA are  considered to be investment  grade and of the highest
credit quality.  The obligor has an exceptionally strong ability to pay interest
and repay principal,  which is unlikely to be affected by reasonably foreseeable
events.

AA. Bonds rated AA are considered to be investment grade and of very high credit
quality.  The  obligor's  ability to pay  interest  and repay  principal is very
strong, although not quite as strong as bonds rated AAA.

A.  Bonds  rated A are  considered  to be  investment  grade and of high  credit
quality. The obligor's ability to pay interest and repay principal is considered
to be  strong,  but  may be more  vulnerable  to  adverse  changes  in  economic
conditions and circumstances than bonds with higher ratings.

BBB. Bonds rated BBB are considered to be investment  grade and of  satisfactory
credit  quality.  The obligor's  ability to pay interest and repay  principal is
considered  to  be  adequate.   Adverse  changes  in  economic   conditions  and
circumstances,  however,  are more likely to have adverse impact on these bonds,
and therefore impair timely payment.

BB. Bonds rated BB are  considered  speculative.  The  obligor's  ability to pay
interest  and repay  principal  may be  affected  over time by adverse  economic
changes.  However,  business and financial  alternatives can be identified which
could assist the obligor in satisfying its debt service requirements.

B. Bonds rated B are considered  highly  speculative.  While these bonds in this
class are  currently  meeting  debt service  requirements,  the  probability  of
continued  timely  payment of  principal  and interest  reflects  the  obligor's
limited  margin of safety  and the need for  reasonable  business  and  economic
activity throughout the life of the issue.

CCC. Bonds rated CCC have certain  identifiable  characteristics  which,  if not
remedied,  may lead to  default.  The  ability to meet  obligations  requires an
advantageous business and economic environment.

CC.  Bonds  rated CC are  minimally  protected.  Default in payment of  interest
and/or principal seems probable over time.

C. Bonds rated C are in imminent default in payment of interest or principal.

                                       40
<PAGE>

DDD,  DD and D. Bonds  rated DDD,  DD and D are in  default on  interest  and/or
principal payments. Such bonds are extremely speculative and should be valued on
the basis of their ultimate  recovery value in liquidation or  reorganization of
the obligor.  DDD represents the highest  potential for recovery on these bonds,
and D represents the lowest potential for recovery.

Duff & Phelps Rating Co. Bond Ratings

AAA. Bonds rated AAA have the highest rating assigned to a debt obligation. They
are of the highest credit quality.  The risk factors are negligible,  being only
slightly more than for risk-free U.S. Treasury debt.

AA. Bonds rated AA are of high credit  quality.  Protection  factors are strong.
Risk is modest  but may vary  slightly  from time to time  because  of  economic
conditions.

A. Bonds rated A have protection factors that are average but adequate. However,
risk factors are more variable and greater in periods of economic stress.

BBB.  Bonds  rated  BBB have  below  average  protection  factors  but are still
considered sufficient for prudent investment.  They have considerable volatility
in risk during economic cycles.

BB.  Bonds  rated BB are  below  investment  grade  but  deemed  likely  to meet
obligations  when due.  Present  or  prospective  financial  protection  factors
fluctuate according to industry conditions or company fortunes.  Overall quality
may move up or down frequently within this category.

B. Bonds rated B are below investment grade and possessing risk that obligations
will not be met when due.  Financial  protection  factors will fluctuate  widely
according to economic  cycles,  industry  conditions  and/or  company  fortunes.
Potential exists for frequent changes in the rating within this category or into
a higher or lower rating grade.

CCC. Bonds rated CCC are well below  investment grade  securities.  Considerable
uncertainty  exists as to timely  payment of principal  or interest.  Protection
factors   are   narrow   and   risk   can  be   substantial   with   unfavorable
economic/industry conditions, and/or with unfavorable company developments.

D. Bonds rated D are in default.  The issuer failed to meet scheduled  principal
and/or principal payments.

                                       41
<PAGE>
                              KEMPER HORIZON FUND

                            PART C. OTHER INFORMATION

Item 24.          Financial Statements and Exhibits
- --------          ---------------------------------

                  (a)  Financial Statements

                  (i) Financial  Statements and Financial Highlights included in
         the Annual  Report,  for Kemper  Horizon Fund for the fiscal year ended
         July 31,  1998,  are  incorporated  herein by  reference  to the fund's
         Statement of Additional  Information and were filed on October 6, 1998,
         (No.  33-63467) pursuant to Rule 30d-1 under the Investment Company Act
         of 1940 and are incorporated herein by reference.

                  Schedules  II,  III,  IV and V are  omitted  as  the  required
                  information is not present.
                  Schedule I has been omitted as the required information is
                  presented in the portfolio of investments.

<TABLE>
<CAPTION>
                    <S>       <C>               <C>
                    b.        Exhibits:

                              99.B1(a).         Agreement and Declaration of Trust.*

                              99.B1(b).         Written Instrument Amending the Agreement and Declaration of
                                                Trust.*

                              99.B2.            By-Laws.**

                              99.B3.            Inapplicable.

                              99.B4(a).         Text of Share Certificate.**

                              99.B4(b).         Written Instrument Establishing and Designating Separate Classes
                                                of Shares.**

                              99.B4(c).         Written Instrument Changing the Name of the Existing Series and
                                                Establishing and Designating Two Additional Series.**

                              99.B4(d).         Written Instrument Changing the Name of the Series of the Trust.**

                              99.B4(e).         Amended and Restated Written Instrument Establishing and
                                                Designating Separate Classes of Shares.****

                              99.B5(a).         Investment Management Agreement.****

                              99.B5(b).         Investment Management Agreement dated December 31, 1997 on behalf
                                                of Kemper Horizon 20+ Fund. Filed herein.

                              99.B5(c).         Investment Management Agreement dated December 31, 1997 on behalf
                                                of Kemper Horizon 10+ Fund. Filed herein.

                              99.B5(d).         Investment Management Agreement dated December 31, 1997 on behalf
                                                of Kemper Horizon 5 Fund. Filed herein.

                              99.B5(e).         Investment Management Agreement dated September 7, 1998 on behalf
                                                of Kemper Horizon 20+ Fund. Filed herein.

                              99.B5(f).         Investment Management Agreement dated September 7, 1998 on behalf
                                                of Kemper Horizon 10+ Fund. Filed herein.

                              99.B5(g).         Investment Management Agreement dated September 7, 1998 on behalf
                                                of Kemper Horizon 5 Fund. Filed herein.


                                 Part C - Page 1
<PAGE>
                              99.B5(h).         Sub-Advisory Agreement.****

                              99.B6(a).         Underwriting and Distribution Services Agreement.***

                              99.B6(b)          Underwriting and Distribution Services Agreement dated January 20,
                                                1998 on behalf of Kemper Horizon Fund. Filed herein.

                              99.B6(c).         Underwriting and Distribution Services Agreement dated August 1,
                                                1998 on behalf of Kemper Horizon Fund. Filed herein.

                              99.B6(d).         Underwriting and Distribution Services Agreement dated September
                                                7, 1998 on behalf of Kemper Horizon Fund. Filed herein.

                              99.B6(e).         Form of Selling Group Agreement.**

                              99.B6(f).         Fund Accounting Services Agreement dated December 31, 1997, on
                                                behalf of Kemper Horizon 20+ Portfolio. Filed herein.

                              99.B6(g).         Fund Accounting Services Agreement dated December 31, 1997, on
                                                behalf of Kemper Horizon 10+ Portfolio. Filed herein.

                              99.B6(h).         Fund Accounting Services Agreement dated December 31, 1997, on
                                                behalf of Kemper Horizon 5 Portfolio. Filed herein.

                              99.B7.            Inapplicable.

                              99.B8(a).         Custody Agreement.**

                              99.B8(b).         Foreign Custody Agreement.**

                              99.B9(a).         Agency Agreement.**

                              99.B9(b).         Administrative Services Agreement.***

                              99.B9(c).         Supplement to Agency Agreement.***

                              99.B10.           Inapplicable.

                              99.B11.           Consent and Report of Independent Auditors. Filed herein.

                              99.B12.           Inapplicable.

                              99.B13.           Inapplicable.

                              99.B14(a).        Kemper Retirement Plan Prototype.**

                              99.B14(b).        Model Individual Retirement Account.**

                              99.B15(a).        Rule 12b-1  Plan dated  August 1, 1998 for Class B shares on behalf
                                                of Horizon 20+ Fund. Filed herein.

                              99.B15(b).        Rule 12b-1  Plan dated  August 1, 1998 for Class C shares on behalf
                                                of Horizon 20+ Fund. Filed herein.

                              99.B15(c).        Rule 12b-1  Plan dated  August 1, 1998 for Class B shares on behalf
                                                of Horizon 10+ Fund. Filed herein.

                              99.B15(d)         Rule 12b-1  Plan dated  August 1, 1998 for Class C shares on behalf
                                                of Horizon 10+ Fund. Filed herein.

                                 Part C - Page 2
<PAGE>

                              99.B15(e)         Rule 12b-1  Plan dated  August 1, 1998 for Class B shares on behalf
                                                of Horizon 5 Fund. Filed herein.

                              99.B.15(f)        Rule 12b-1  Plan dated  August 1, 1998 for Class C shares on behalf
                                                of Horizon 5 Fund. Filed herein.

                              99.B16.           Inapplicable.

                              99.B18.           Multi-Distribution System Plan.****

                              27                Financial Data Schedule. Filed herein.

                                                Powers of Attorney for the following  Trustees are  incorporated by
                                                reference to Post  Effective  Amendment  No. 2 to the  Registration
                                                Statement:
                                                James  E.  Atkins,  Arthur  R.  Gottschalk,  Frederick  T.  Kelsey,
                                                Frederick B. Renwick, John B. Tingleff, and John G. Weithers.

                                                Powers of Attorney for the following Trustees are filed herein:
                                                Daniel Pierce and Edmond D. Villani

*        Incorporated  by  reference  to  Registrant's  Registration  Statement  on  Form N-1A  which  was filed on
         October 17, 1995.

**       Incorporated  by reference to  Pre-effective  Amendment No. 2 to  Registrant's  Registration  Statement on
         Form N-1A filed on December 14, 1995.

***      Incorporated  by reference to Post Effective  Amendment No. 2 to  Registrant's  Registration  Statement on
         Form N-1A filed on November 17, 1997.

****     Incorporated  herein by reference to the  Amendment to  Registrant's  Registration  Statement on Form N-1A
         identified below:
</TABLE>

<TABLE>
<CAPTION>
                                                         Post-Effective
               Exhibit No.                               Amendment No.                             Date of Filing
               -----------                               -------------                             --------------

<S>                                                            <C>                                    <C>
B4(e), B5(a), B5(h), B6(a), B18                                1                                      8/29/96
and B24
</TABLE>

Item 25.          Persons Controlled by or under Common Control with Registrant.
- --------          --------------------------------------------------------------

                  Inapplicable.

Item 26.          Number of Holders of Securities
- --------          -------------------------------

                  As of October 29,  1998,  there were the  following  number of
                  holders of securities:

<TABLE>
<CAPTION>
                Portfolio                                          Classes of Shares
                ---------                                          -----------------

                                                   A               B                C               I
                                                   -               -                -               -

<S>                                              <C>             <C>              <C>               <C>
Horizon 20+                                      9,588           10,499           2,657             8
Horizon 10+                                      6,126           5,945            1,856             8
Horizon 5                                        3,198           2,141             727              7
</TABLE>

Item 27.          Indemnification.
- --------          ----------------

                  Article VIII of the Registrant's  Agreement and Declaration of
                  Trust  (Exhibit  1  hereto,  which is  incorporated  herein by
                  reference)   provides  in  effect  that  the  Registrant  will
                  indemnify   its   officers   and   trustees    under   certain
                  circumstances.  However,  in accordance with Section 17(h) and
                  17(i) of the Investment Company Act of 1940 and its own terms,
                  said Article of the  Agreement and  Declaration  of Trust does
                  not protect any person against any liability to the Registrant
                  or its  shareholders to which he would otherwise be subject by
                  reason of willful misfeasance, bad faith, gross negligence, or
                  reckless  disregard  of the duties  involved in the conduct of
                  his office.

                                 Part C - Page 3
<PAGE>

                  Insofar as indemnification  for liabilities  arising under the
                  Securities Act of 1933 may be permitted to trustees, officers,
                  and  controlling  persons of the  Registrant  pursuant  to the
                  foregoing  provisions,  or otherwise,  the Registrant has been
                  advised  that, in the opinion of the  Securities  and Exchange
                  Commission,  such  indemnification is against public policy as
                  expressed in the Act and is, therefore,  unenforceable. In the
                  event   that  a  claim  for   indemnification   against   such
                  liabilities  (other  than the  payment  by the  Registrant  of
                  expenses   incurred  or  paid  by  a  trustee,   officer,   or
                  controlling person of the Registrant in the successful defense
                  of any  action,  suit,  or  proceeding)  is  asserted  by such
                  trustee, officer, or controlling person in connection with the
                  securities being  registered,  the Registrant will,  unless in
                  the  opinion of its  counsel  the  matter has been  settled by
                  controlling  precedent,  submit  to  a  court  of  appropriate
                  jurisdiction the questions whether such  indemnification by it
                  is against  public  policy as expressed in the Act and will be
                  governed by the final adjudication of such issue.

                  On June 26, 1997,  Zurich Insurance  Company  ("Zurich"),  ZKI
                  Holding  Corp.  ("ZKIH"),  Zurich  Kemper  Investments,   Inc.
                  ("ZKI"),  Scudder,  Stevens & Clark, Inc.  ("Scudder") and the
                  representatives  of the beneficial owners of the capital stock
                  of  Scudder   ("Scudder   Representatives")   entered  into  a
                  transaction  agreement  ("Transaction  Agreement") pursuant to
                  which Zurich became the majority  stockholder  in Scudder with
                  an  approximately  70%  interest,  and ZKI was  combined  with
                  Scudder  ("Transaction").  In  connection  with the  trustees'
                  evaluation of the Transaction,  Zurich agreed to indemnify the
                  Registrant and the trustees who were not interested persons of
                  ZKI or Scudder (the  "Independent  Trustees")  for and against
                  any liability  and expenses  based upon any action or omission
                  by  the   Independent   Trustees  in  connection   with  their
                  consideration  of and action with respect to the  Transaction.
                  In addition,  Scudder has agreed to indemnify  the  Registrant
                  and the Independent Trustees for and against any liability and
                  expenses based upon any  misstatements or omissions by Scudder
                  to  the   Independent   Trustees  in  connection   with  their
                  consideration of the Transaction.

Item 28.          Business or Other Connections of Investment Adviser
- --------          ---------------------------------------------------

                  Scudder  Kemper   Investments,   Inc.  has   stockholders  and
                  employees who are denominated officers but do not as such have
                  corporation-wide   responsibilities.   Such  persons  are  not
                  considered officers for the purpose of this Item 28.

<TABLE>
<CAPTION>
                           Business and Other Connections of Board
           Name            of Directors of Registrant's Adviser
           ----            ------------------------------------

<S>                        <C>
Stephen R. Beckwith        Treasurer and Chief Financial Officer, Scudder Kemper Investments, Inc.**
                           Vice President and Treasurer, Scudder Fund Accounting Corporation*
                           Director, Scudder Stevens & Clark Corporation**
                           Director and Chairman, Scudder Defined Contribution Services, Inc.**
                           Director and President, Scudder Capital Asset Corporation**
                           Director and President, Scudder Capital Stock Corporation**
                           Director and President, Scudder Capital Planning Corporation**
                           Director and President, SS&C Investment Corporation**
                           Director and President, SIS Investment Corporation**
                           Director and President, SRV Investment Corporation**

Lynn S. Birdsong           Director and Vice President, Scudder Kemper Investments, Inc.**
                           Director, Scudder, Stevens & Clark (Luxembourg) S.A.#

William H. Bolinder        Director, Scudder Kemper Investements, Inc.**
                           Member, Group Executive Board, Zurich Financial Services, Inc.##
                           Chairman, Zurich-American Insurance Company o

Laurence W. Cheng          Director, Scudder Kemper Investments, Inc.**
                           Member, Corporate Executive Board, Zurich Insurance Company of Switzerland##
                           Director, ZKI Holding Corporation xx

Gunther Gose               Director, Scudder Kemper Investments, Inc.**
                           CFO and Member, Group Executive Board, Zurich Financial Services, Inc.##

                                 Part C - Page 4
<PAGE>

                           CEO/Branch Offices, Zurich Life Insurance Company##

Rolf Huppi                 Director, Chairman of the Board, Scudder Kemper Investments, Inc.**
                           Member, Corporate Executive Board, Zurich Insurance Company of Switzerland##
                           Director, Chairman of the Board, Zurich Holding Company of America o
                           Director, ZKI Holding Corporation xx

Kathryn L. Quirk           Director, Chief Legal Officer, Chief Compliance Officer and Secretary, Scudder Kemper
                                 Investments, Inc.**
                           Director, Senior Vice President & Assistant Clerk, Scudder Investor Services, Inc.*
                           Director, Vice President & Secretary, Scudder Fund Accounting Corporation*
                           Director, Vice President & Secretary, Scudder Realty Holdings Corporation*
                           Director & Assistant Clerk, Scudder Service Corporation*
                           Director, SFA, Inc.*
                           Vice President, Director & Assistant Secretary, Scudder Precious Metals, Inc.***
                           Director, Scudder, Stevens & Clark Japan, Inc.***
                           Director, Vice President and Secretary, Scudder, Stevens & Clark of Canada, Ltd.***
                           Director, Vice President and Secretary, Scudder Canada Investor Services Limited***
                           Director, Vice President and Secretary, Scudder Realty Advisers, Inc. x
                           Director and Secretary, Scudder, Stevens & Clark Corporation**
                           Director and Secretary, Scudder, Stevens & Clark Overseas Corporation oo
                           Director and Secretary, SFA, Inc.*
                           Director, Vice President and Secretary, Scudder Defined Contribution Services, Inc.**
                           Director, Vice President and Secretary, Scudder Capital Asset Corporation**
                           Director, Vice President and Secretary, Scudder Capital Stock Corporation**
                           Director, Vice President and Secretary, Scudder Capital Planning Corporation**
                           Director, Vice President and Secretary, SS&C Investment Corporation**
                           Director, Vice President and Secretary, SIS Investment Corporation**
                           Director, Vice President and Secretary, SRV Investment Corporation**
                           Director, Vice President and Secretary, Scudder Brokerage Services, Inc.*
                           Director, Korea Bond Fund Management Co., Ltd.+

Cornelia M. Small          Director , Scudder Kemper Investments, Inc.**

Edmond D. Villani          Director, President and Chief Executive Officer, Scudder Kemper Investments, Inc.**
                           Director, Scudder, Stevens & Clark Japan, Inc.###
                           President and Director, Scudder, Stevens & Clark Overseas Corporation oo
                           President and Director, Scudder, Stevens & Clark Corporation**
                           Director, Scudder Realty Advisors, Inc.x
                           Director, IBJ Global Investment Management S.A. Luxembourg, Grand-Duchy of Luxembourg

         *        Two International Place, Boston, MA
         x        333 South Hope Street, Los Angeles, CA
         **       345 Park Avenue, New York, NY
         #        Societe Anonyme, 47, Boulevard Royal, L-2449 Luxembourg, R.C. Luxembourg B 34.564
         ***      Toronto, Ontario, Canada
         oo       20-5, Ichibancho, Chiyoda-ku, Tokyo, Japan
         ###      1-7, Kojimachi, Chiyoda-ku, Tokyo, Japan
         xx       222 S. Riverside, Chicago, IL
         o        Zurich Towers, 1400 American Ln., Schaumburg, IL
         +        P.O. Box 309, Upland House, S. Church St., Grand Cayman, British West Indies
         ##       Mythenquai-2, P.O. Box CH-8022, Zurich, Switzerland
</TABLE>

                                 Part C - Page 5
<PAGE>

Item 29.  Principal Underwriters.
- --------  -----------------------

         (a)

         Kemper  Distributors,   Inc.  acts  as  principal  underwriter  of  the
         Registrant's  shares and acts as  principal  underwriter  of the Kemper
         Funds.

         (b)

         Information on the officers and directors of Kemper Distributors, Inc.,
         principal  underwriter  for the  Registrant  is set  forth  below.  The
         principal  business  address  is 222 South  Riverside  Plaza,  Chicago,
         Illinois 60606.

<TABLE>
<CAPTION>
         (1)                               (2)                                     (3)

                                           Position and Offices with               Positions and
         Name                              Kemper Distributors, Inc.               Offices with Registrant
         ----                              -------------------------               -----------------------

         <S>                               <C>                                     <C>
         James L. Greenawalt               President                               None

         Thomas W. Littauer                Director, Chief Executive Officer       Vice President

         Kathryn L. Quirk                  Director, Secretary, Chief Legal        Vice President
                                           Officer & Vice President

         James J. McGovern                 Chief Financial Officer and Vice        None
                                           President

         Linda J. Wondrack                 Vice President and Chief Compliance     None
                                           Officer

         Paula Gaccione                    Vice President                          None

         Michael E. Harrington             Vice President                          None

         Robert A. Rudell                  Vice President                          None

         William M. Thomas                 Vice President                          None

         Elizabeth C. Werth                Vice President                          Assistant Secretary

         Todd N. Gierke                    Assistant Treasurer                     None

         Philip J. Collora                 Assistant Secretary                     Vice President and
                                                                                   Secretary

         Paul J. Elmlinger                 Assistant Secretary                     None

         Diane E. Ratekin                  Assistant Secretary                     None

         Daniel Pierce                     Director, Chairman                      Trustee

         Mark S. Casady                    Director, Vice Chairman                 President

         Stephen R. Beckwith               Director                                None

         (c)  Not applicable
</TABLE>

                                 Part C - Page 6
<PAGE>

Item 30.          Location of Accounts and Records.
- --------          ---------------------------------

                  All such accounts, books and other documents are maintained at
                  the offices of the  Registrant,  the offices of the investment
                  manager,  Scudder Kemper  Investments,  Inc. and the principal
                  underwriter,  Scudder  Kemper  Distributors,  Inc.,  222 South
                  Riverside  Plaza,  Chicago,  Illinois 60603, at the offices of
                  the custodian and transfer  agent,  Investors  Fiduciary Trust
                  Company, 801 Pennsylvania Avenue,  Kansas City, Missouri 64105
                  or at the offices of the  shareholder  service  agent,  Kemper
                  Service Company, 811 Main Street, Kansas City, Missouri 64105.

Item 31.          Management Services.
- --------          --------------------

                  Not applicable.

Item 32.          Undertakings.
- --------          -------------

                  (a)  Not applicable.

                  (b)  Not applicable.

                  (c) The  Registrant  undertakes  to furnish to each  person to
                  whom a  prospectus  is  delivered  a copy of the  Registrant's
                  latest annual report to shareholders, upon request and without
                  charge.

                                 Part C - Page 7
<PAGE>

                                   SIGNATURES
                                   ----------

         Pursuant to the requirements of the Securities Act of 1933 and the
Investment Company Act of 1940, the Registrant certifies that it meets all of
the requirements for effectiveness of this Registration Statement pursuant to
Rule 485(b) under the Securities Act of 1933 and has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Chicago and State of Illinois, on the 27th day
of November, 1998



                                            By:/s/Mark S. Casady
                                               ---------------------------------
                                               Mark S. Casady, President

         Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed below on November 27, 1998
on behalf of the following persons in the capacities indicated.


SIGNATURE                                   TITLE
- ---------                                   -----

/s/Mark S. Casady                           President
- --------------------------------------
Mark S. Casady

/s/Daniel Pierce*                           Chairman and Trustee
- --------------------------------------

/s/James E. Akins*                          Trustee
- --------------------------------------

/s/Arthur R. Gottschalk*                    Trustee
- --------------------------------------

/s/Frederick T. Kelsey*                     Trustee
- --------------------------------------

/s/Fred B. Renwick*                         Trustee
- --------------------------------------

/s/John B. Tingleff*                        Trustee
- --------------------------------------

/s/Edmond D. Villani*                       Trustee
- --------------------------------------

/s/ John G. Weithers*                       Trustee
- -------------------------------------

                                            Treasurer (Principal Financial and
/s/John R. Hebble                           Accounting Officer)
- --------------------------------------
John R. Hebble

*        Philip J. Collora  signs this  document  pursuant to powers of attorney
         filed herewith or incorporated by reference

                                              By:/s/Philip J. Collora
                                                 -------------------------------
                                                 Philip J. Collora


<PAGE>

                                POWER OF ATTORNEY
                                -----------------

     The person whose signature appears below hereby appoints Kathryn L. Quirk,
Caroline Pearson, and Philip J. Collora and each of them, any of whom may act
without the joinder of the others, as such person's attorney-in-fact to sign and
file on such person's behalf individually and in the capacity stated below such
registration statements, amendments, post-effective amendments, exhibits,
applications and other documents with the Securities and Exchange Commission or
any other regulatory authority as may be desirable or necessary in connection
with the public offering of shares of Kemper Horizon Fund.




<TABLE>
<CAPTION>
Signature                                Title                         Date



<S>                                      <C>                           <C>
/s/Edmond D. Villani                    Trustee                       7/15/98
- ---------------------
</TABLE>

<PAGE>


                                POWER OF ATTORNEY
                                -----------------

     The person whose signature appears below hereby appoints Kathryn L. Quirk,
Caroline Pearson, and Philip J. Collora and each of them, any of whom may act
without the joinder of the others, as such person's attorney-in-fact to sign and
file on such person's behalf individually and in the capacity stated below such
registration statements, amendments, post-effective amendments, exhibits,
applications and other documents with the Securities and Exchange Commission or
any other regulatory authority as may be desirable or necessary in connection
with the public offering of shares of Kemper Horizon Fund.



<TABLE>
<CAPTION>
Signature                               Title                          Date




<S>                                     <C>                           <C>
/s/Daniel Pierce                        Managing Director/Trustee      7/15/98
- -----------------
</TABLE>

<PAGE>

                                                KEMPER HORIZON FUND

                                                   EXHIBIT INDEX
<TABLE>
<CAPTION>
         <S>               <C>
         99.B1(a).         Agreement and Declaration of Trust.*
         99.B1(b).         Written Instrument Amending the Agreement and Declaration of Trust.*
         99.B2.            By-Laws.**
         99.B3.            Inapplicable.
         99.B4(a).         Text of Share Certificate.**
         99.B4(b).         Written Instrument Establishing and Designating Separate Classes of Shares.**
         99.B4(c).         Written Instrument Changing the Name of the Existing Series and Establishing and
                           Designating Two Additional Series.**
         99.B4(d).         Written Instrument Changing the Name of the Series of the Trust.**
         99.B4(e).         Amended and Restated Written Instrument Establishing and Designating Separate Classes
                           of Shares.****
         99.B5(a).         Investment Management Agreement.****
         99.B5(b)          Investment Management Agreement dated December 31, 1997 on behalf of Kemper Horizon
                           20+ Fund. Filed herein.
         99.B5(c)          Investment Management Agreement dated December 31, 1997 on behalf of Kemper Horizon
                           10+ Fund. Filed herein.
         99.B5(d)          Investment Management Agreement dated December 31, on behalf of Kemper Horizon 5 Fund. Filed herein.
         99.B5(e)          Investment Management Agreement dated September 7, 1998 on behalf of Kemper Horizon
                           20+ Fund. Filed herein.
         99.B5(f)          Investment Management Agreement dated September 7, 1998 on behalf of Kemper Horizon
                           10+ Fund. Filed herein.
         99.B5(g)          Investment Management Agreement dated September 7, 1998 on behalf of Kemper Horizon 5
                           Fund. Filed herein.
         99.B5(h).         Sub-Advisory Agreement.****
         99.B6(a).         Underwriting and Distribution Services Agreement.***
         99.B6(b)          Underwriting and Distribution Services Agreement dated January 20, 1998 on behalf of
                           Kemper Horizon Fund. Filed herein.
         99.B6(c)          Underwriting and Distribution Services Agreement dated August 1, 1998 on behalf of
                           Kemper Horizon Fund. Filed herein.
         99.B6(d)          Underwriting and Distribution Services Agreement dated September 7, 1998 on behalf of
                           Kemper Horizon Fund. Filed herein.
         99.B6(e).         Form of Selling Group Agreement.**
         99.B6(f).         Fund Accounting Services Agreement dated December 31, 1997, on behalf of Kemper
                           Horizon 20+ Portfolio. Filed herein.
         99.B6(g).         Fund Accounting Services Agreement dated December 31, 1997, on behalf of Kemper
                           Horizon 10+ Portfolio. Filed herein.
         99.B6(h).         Fund Accounting Services Agreement dated December 31, 1997, on behalf of Kemper
                           Horizon 5 Portfolio. Filed herein.
         99.B7.            Inapplicable.
         99.B8(a).         Custody Agreement.**
         99.B8(b).         Foreign Custody Agreement.**
         99.B9(a).         Agency Agreement.**
         99.B9(b).         Administrative Services Agreement.***
         99.B9(c).         Supplement to Agency Agreement.***
         99.B10.           Inapplicable.
         99.B11.           Consent and Report of Independent Auditors. Filed herein.
         99.B12.           Inapplicable.
         99.B13.           Inapplicable.
         99.B14(a).        Kemper Retirement Plan Prototype.**
         99.B14(b).        Model Individual Retirement Account.**
         99.B15(a).        Rule 12b-1 Plan dated  August 1, 1998 for Class B shares on behalf of Horizon  20+ Fund.
                           Filed herein.
         99.B15(b)         Rule 12b-1 Plan dated  August 1, 1998 for Class C shares on behalf of Horizon  20+ Fund.
                           Filed herein.
         99.B15(c)         Rule 12b-1 Plan dated  August 1, 1998 for Class B shares on behalf of Horizon  10+ Fund.
                           Filed herein.
         99.B15(d)         Rule 12b-1 Plan dated  August 1, 1998 for Class C shares on behalf of Horizon  10+ Fund.
                           Filed herein.
         99.B15(e)         Rule  12b-1  Plan  dated  August 1, 1998 for Class B shares on behalf of Horizon 5 Fund.
                           Filed herein.
         99.B15(f)         Rule  12b-1  Plan  dated  August 1, 1998 for Class C shares on behalf of Horizon 5 Fund.
                           Filed herein.
         99.B16.           Inapplicable.
         99.B18.           Multi-Distribution System Plan.****

         27                Financial Data Schedule.
</TABLE>

*        Incorporated  by reference to  Registrant's  Registration  Statement on
         Form N-1A which was filed on October 17, 1995.


<PAGE>

**       Incorporated  by  reference  to   Pre-effective   Amendment  No.  2  to
         Registrant's  Registration Statement on Form N-1A filed on December 14,
         1995.

***      Incorporated  by  reference  to  Post  Effective  Amendment  No.  2  to
         Registrant's  Registration Statement on Form N-1A filed on November 17,
         1997.

****     Incorporated  herein by  reference  to the  Amendment  to  Registrant's
         Registration Statement on Form N-1A identified below:

<TABLE>
<CAPTION>
                                                         Post-Effective
               Exhibit No.                               Amendment No.                             Date of Filing
               -----------                               -------------                             --------------

<S>                                                            <C>                                    <C>
B4(e), B5(a), B5(b), B6(a), B18                                1                                      8/29/96
and B24
</TABLE>

                                                                           B5(b)
                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               December 31, 1997

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement

                          Kemper Horizon 20+ Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized Kemper Horizon 20+ Portfolio (the "Fund"). Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth.

Accordingly, the Trust on behalf of the Fund agrees with you as follows:

1.       Delivery of  Documents.  The Trust engages in the business of investing
and  reinvesting the assets of the Fund in the manner and in accordance with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

         a)       The Declaration, as amended to date.

         b)       By-Laws of the Trust as in effect on the date hereof (the "By-
                  Laws").

         c) Resolutions of the Trustees of the Trust and the shareholders of the
Fund  selecting  you as  investment  manager  and  approving  the  form  of this
Agreement.

         d)  Establishment  and  Designation  of Series of Shares of  Beneficial
Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.       Portfolio  Management  Services.  As manager of the assets of the Fund,
you shall provide continuing  investment management of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and all other
applicable  federal and state laws and  regulations of which you have knowledge;
subject  always to policies  and

<PAGE>

instructions adopted by the Trust's Board of Trustees.  In connection therewith,
you shall use reasonable efforts to manage the Fund so that it will qualify as a
regulated  investment  company  under  Subchapter M of the Code and  regulations
issued  thereunder.  The Fund shall have the benefit of the investment  analysis
and  research,  the review of  current  economic  conditions  and trends and the
consideration  of  long-range  investment  policy  generally  available  to your
investment  advisory  clients.  In  managing  the  Fund in  accordance  with the
requirements  set forth in this  section 2, you shall be entitled to receive and
act upon advice of counsel to the Trust.  You shall also make  available  to the
Trust promptly upon request all of the Fund's investment  records and ledgers as
are necessary to assist the Trust in complying with the requirements of the 1940
Act and other  applicable laws. To the extent required by law, you shall furnish
to regulatory  authorities  having the requisite  authority any  information  or
reports in  connection  with the services  provided  pursuant to this  Agreement
which may be requested in order to ascertain whether the operations of the Trust
are being conducted in a manner consistent with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.       Administrative  Services.  In  addition  to  the  portfolio  management
services specified above in section 2, you shall furnish at your expense for the
use of the Fund such office  space and  facilities  in the United  States as the
Fund  may  require  for its  reasonable  needs,  and you (or one or more of your
affiliates designated by you) shall render to the Trust administrative  services
on behalf of the Fund necessary for operating as an open end investment  company
and not  provided by persons not parties to this  Agreement  including,  but not
limited to, preparing  reports to and meeting materials for the Trust's Board of
Trustees and reports and notices to Fund shareholders;  supervising, negotiating
contractual  arrangements  with, to the extent  appropriate,  and monitoring the
performance of, accounting agents, custodians, depositories, transfer agents and
pricing agents,  accountants,  attorneys,  printers,  underwriters,  brokers and
dealers,  insurers and other  persons in any capacity  deemed to be necessary or
desirable to Fund  operations;  preparing and making filings with the Securities
and Exchange  Commission  (the "SEC") and other  regulatory and  self-regulatory
organizations,  including,  but not limited to, preliminary and definitive proxy
materials,  post-effective amendments to the Registration Statement, semi-annual
reports on Form N-SAR and  notices  pursuant  to Rule 24f-2  under the 1940 Act;
overseeing the tabulation of proxies by the Fund's transfer agent;  assisting in
the preparation  and filing of the Fund's federal,  state and local tax returns;
preparing and filing the Fund's  federal  excise tax return  pursuant to Section
4982 of the Code;  providing  assistance  with  investor  and  public  relations
matters; monitoring the valuation of portfolio securities and the calculation of
net asset  value;  monitoring  the  registration  of  Shares  of the Fund  under
applicable  federal  and state  securities  laws;  maintaining  or causing to be
maintained for the Fund all books, records and reports and any other information
required under the 1940 Act, to the extent that such books,  records and reports
and other information are not maintained by the Fund's custodian or other agents
of the Fund;  assisting in  establishing  the  accounting  policies of the Fund;
assisting in the resolution of accounting  issues that may arise with respect to
the Fund's  operations and consulting with the Fund's  independent  accountants,
legal counsel and the Fund's other agents as necessary in connection  therewith;
establishing and monitoring the Fund's operating expense budgets;  reviewing the
Fund's  bills;  processing  the  payment of bills that have been  approved by an
authorized person; assisting the Fund in determining the amount of dividends and
distributions  available to be paid by the Fund to its  shareholders,  preparing
and  arranging  for the  printing  of  dividend  notices  to  shareholders,  and
providing  the  transfer and  dividend  paying  agent,  the  custodian,  and the
accounting agent with such information as is required for such parties to effect
the payment of dividends and distributions; and otherwise assisting the Trust as
it may reasonably request in the conduct of the Fund's business,  subject to the
direction  and  control  of the  Trust's  Board  of  Trustees.  Nothing  in this
Agreement  shall be deemed to shift to you or to diminish the obligations of any
agent of the Fund or any other  person  not a party to this  Agreement  which is
obligated to provide services to the Fund.

4.       Allocation  of Charges and Expenses.  Except as otherwise  specifically
provided in this section 4, you shall pay the  compensation  and expenses of all
Trustees,  officers and executive  employees of the Trust  (including the Fund's

                                       2
<PAGE>

share of payroll  taxes) who are  affiliated  persons of you, and you shall make
available,  without expense to the Fund, the services of such of your directors,
officers and employees as may duly be elected officers of the Trust,  subject to
their  individual  consent to serve and to any  limitations  imposed by law. You
shall provide at your expense the  portfolio  management  services  described in
section 2 hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

5.       Management  Fee. For all  services to be rendered,  payments to be made
and costs to be assumed by you as provided  in sections 2, 3, and 4 hereof,  the
Trust on behalf of the Fund shall pay you in United  States  Dollars on the last
day of each month the unpaid balance of a fee equal to the excess of (a) 1/12 of
 .58 of 1 percent of the  average  daily net assets as defined  below of the Fund
for such month;  provided  that, for any calendar month during which the average
of such values exceeds  $250,000,000 the fee payable for that month based on the
portion of the average of such values in excess of $250,000,000 shall be 1/12 of
 .55 of 1 percent of such portion;  provided  that, for any calendar month during
which the average of such  values  exceeds  $1,000,000,000,  the fee payable for
that  month  based on the  portion of the  average  of such  values in excess of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based

                                       3
<PAGE>

on the portion of the average of such values in excess of $12,500,000,000  shall
be 1/12 of .42 of 1 percent of such portion; over (b) any compensation waived by
you from time to time (as more fully described below).  You shall be entitled to
receive  during any month such  interim  payments of your fee  hereunder  as you
shall  request,  provided  that no such  payment  shall exceed 75 percent of the
amount of your fee then accrued on the books of the Fund and unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6.       Avoidance  of  Inconsistent  Position;   Services  Not  Exclusive.   In
connection with purchases or sales of portfolio securities and other investments
for the account of the Fund, neither you nor any of your directors,  officers or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7.       Limitation   of  Liability  of  Manager.   As  an  inducement  to  your
undertaking to render services pursuant to this Agreement, the Trust agrees that
you  shall not be liable  under  this  Agreement  for any error of  judgment  or
mistake  of law or for any  loss  suffered  by the Fund in  connection  with the
matters to which this Agreement relates, provided that nothing in this Agreement
shall be deemed to protect or purport to protect you against  any  liability  to
the Trust,  the Fund or its shareholders to which you would otherwise be subject
by  reason  of  willful  misfeasance,  bad  faith  or  gross  negligence  in the
performance  of your  duties,  or by reason of your  reckless  disregard of your
obligations and duties hereunder.

8.       Duration and Termination of This Agreement. This Agreement shall remain
in  force  until  April  1,  1998,  and  continue  in  force  from  year to year
thereafter,  but only so long as such  continuance is  specifically  approved at
least annually (a) by the vote of a majority of the Trustees who are not parties
to this Agreement or interested persons of any party to this Agreement,  cast in
person at a meeting called for the purpose of voting on such  approval,  and (b)
by the  Trustees of the Trust,  or by the vote of a majority of the  outstanding
voting  securities of the Fund. The aforesaid  requirement  that  continuance of
this Agreement be  "specifically  approved at least annually" shall be construed
in a  manner  consistent  with  the  1940  Act and  the  rules  and  regulations
thereunder and any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written

                                       4
<PAGE>

notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9.       Amendment of this  Agreement.  No provision  of this  Agreement  may be
changed,  waived,  discharged or terminated orally, but only by an instrument in
writing  signed by the party  against whom  enforcement  of the change,  waiver,
discharge or termination is sought,  and no amendment of this Agreement shall be
effective until approved in a manner  consistent with the 1940 Act and rules and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.      Limitation of Liability for Claims.  The Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any  shareholder of the Fund or any other
series of the Trust,  or from any  Trustee,  officer,  employee  or agent of the
Trust.  You understand  that the rights and obligations of each Fund, or series,
under the  Declaration are separate and distinct from those of any and all other
series.

11.      Miscellaneous.   The  captions  in  this  Agreement  are  included  for
convenience  of  reference  only  and  in no  way  define  or  limit  any of the
provisions  hereof or  otherwise  affect  their  construction  or  effect.  This
Agreement may be executed  simultaneously in two or more  counterparts,  each of
which shall be deemed an original,  but all of which together  shall  constitute
one and the same instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                       5
<PAGE>

                                          Yours very truly,

                                          KEMPER HORIZON FUND, on behalf of
                                          Kemper Horizon 20+ Portfolio

                                          By:/s/John E. Neal
                                             -----------------------------------
                                               Vice President


The foregoing Agreement is hereby accepted as of the date hereof.


                                          SCUDDER KEMPER INVESTMENTS, INC.

                                          By:/s/L.S. Birdsong
                                             -----------------------------------
                                               Vice President

                                       6
<PAGE>

                                                                           B5(c)
                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               December 31, 1997

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                          Kemper Horizon 10+ Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized Kemper Horizon 10+ Portfolio (the "Fund"). Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly,  the Trust on behalf of the Fund agrees with
you as follows:

1.       Delivery of  Documents.  The Trust engages in the business of investing
and  reinvesting the assets of the Fund in the manner and in accordance with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

         a)       The Declaration, as amended to date.

         b)       By-Laws of the Trust as in effect on the date hereof (the "By-
                  Laws").

         c) Resolutions of the Trustees of the Trust and the shareholders of the
Fund  selecting  you as  investment  manager  and  approving  the  form  of this
Agreement.

         d)  Establishment  and  Designation  of Series of Shares of  Beneficial
Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.       Portfolio  Management  Services.  As manager of the assets of the Fund,
you shall provide continuing  investment management of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and all other
applicable  federal and state laws and  regulations of which you have knowledge;
subject  always to policies  and

<PAGE>

instructions adopted by the Trust's Board of Trustees.  In connection therewith,
you shall use reasonable efforts to manage the Fund so that it will qualify as a
regulated  investment  company  under  Subchapter M of the Code and  regulations
issued  thereunder.  The Fund shall have the benefit of the investment  analysis
and  research,  the review of  current  economic  conditions  and trends and the
consideration  of  long-range  investment  policy  generally  available  to your
investment  advisory  clients.  In  managing  the  Fund in  accordance  with the
requirements  set forth in this  section 2, you shall be entitled to receive and
act upon advice of counsel to the Trust.  You shall also make  available  to the
Trust promptly upon request all of the Fund's investment  records and ledgers as
are necessary to assist the Trust in complying with the requirements of the 1940
Act and other  applicable laws. To the extent required by law, you shall furnish
to regulatory  authorities  having the requisite  authority any  information  or
reports in  connection  with the services  provided  pursuant to this  Agreement
which may be requested in order to ascertain whether the operations of the Trust
are being conducted in a manner consistent with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.       Administrative  Services.  In  addition  to  the  portfolio  management
services specified above in section 2, you shall furnish at your expense for the
use of the Fund such office  space and  facilities  in the United  States as the
Fund  may  require  for its  reasonable  needs,  and you (or one or more of your
affiliates designated by you) shall render to the Trust administrative  services
on behalf of the Fund necessary for operating as an open end investment  company
and not  provided by persons not parties to this  Agreement  including,  but not
limited to, preparing  reports to and meeting materials for the Trust's Board of
Trustees and reports and notices to Fund shareholders;  supervising, negotiating
contractual  arrangements  with, to the extent  appropriate,  and monitoring the
performance of, accounting agents, custodians, depositories, transfer agents and
pricing agents,  accountants,  attorneys,  printers,  underwriters,  brokers and
dealers,  insurers and other  persons in any capacity  deemed to be necessary or
desirable to Fund  operations;  preparing and making filings with the Securities
and Exchange  Commission  (the "SEC") and other  regulatory and  self-regulatory
organizations,  including,  but not limited to, preliminary and definitive proxy
materials,  post-effective amendments to the Registration Statement, semi-annual
reports on Form N-SAR and  notices  pursuant  to Rule 24f-2  under the 1940 Act;
overseeing the tabulation of proxies by the Fund's transfer agent;  assisting in
the preparation  and filing of the Fund's federal,  state and local tax returns;
preparing and filing the Fund's  federal  excise tax return  pursuant to Section
4982 of the Code;  providing  assistance  with  investor  and  public  relations
matters; monitoring the valuation of portfolio securities and the calculation of
net asset  value;  monitoring  the  registration  of  Shares  of the Fund  under
applicable  federal  and state  securities  laws;  maintaining  or causing to be
maintained for the Fund all books, records and reports and any other information
required under the 1940 Act, to the extent that such books,  records and reports
and other information are not maintained by the Fund's custodian or other agents
of the Fund;  assisting in  establishing  the  accounting  policies of the Fund;
assisting in the resolution of accounting  issues that may arise with respect to
the Fund's  operations and consulting with the Fund's  independent  accountants,
legal counsel and the Fund's other agents as necessary in connection  therewith;
establishing and monitoring the Fund's operating expense budgets;  reviewing the
Fund's  bills;  processing  the  payment of bills that have been  approved by an
authorized person; assisting the Fund in determining the amount of dividends and
distributions  available to be paid by the Fund to its  shareholders,  preparing
and  arranging  for the  printing  of  dividend  notices  to  shareholders,  and
providing  the  transfer and  dividend  paying  agent,  the  custodian,  and the
accounting agent with such information as is required for such parties to effect
the payment of dividends and distributions; and otherwise assisting the Trust as
it may reasonably request in the conduct of the Fund's business,  subject to the
direction  and  control  of the  Trust's  Board  of  Trustees.  Nothing  in this
Agreement  shall be deemed to shift to you or to diminish the obligations of any
agent of the Fund or any other  person  not a party to this  Agreement  which is
obligated to provide services to the Fund.

4.       Allocation  of Charges and Expenses.  Except as otherwise  specifically
provided in this section 4, you shall pay the  compensation  and expenses of all
Trustees,  officers and executive  employees of the Trust  (including the Fund's
share

                                       2
<PAGE>

of  payroll  taxes)  who are  affiliated  persons  of you,  and you  shall  make
available,  without expense to the Fund, the services of such of your directors,
officers and employees as may duly be elected officers of the Trust,  subject to
their  individual  consent to serve and to any  limitations  imposed by law. You
shall provide at your expense the  portfolio  management  services  described in
section 2 hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

5.       Management  Fee. For all  services to be rendered,  payments to be made
and costs to be assumed by you as provided  in sections 2, 3, and 4 hereof,  the
Trust on behalf of the Fund shall pay you in United  States  Dollars on the last
day of each month the unpaid balance of a fee equal to the excess of (a) 1/12 of
 .58 of 1 percent of the  average  daily net assets as defined  below of the Fund
for such month;  provided  that, for any calendar month during which the average
of such values exceeds  $250,000,000 the fee payable for that month based on the
portion of the average of such values in excess of $250,000,000 shall be 1/12 of
 .55 of 1 percent of such portion;  provided  that, for any calendar month during
which the average of such  values  exceeds  $1,000,000,000,  the fee payable for
that  month  based on the  portion of the  average  of such  values in excess of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based


                                       3
<PAGE>

on the portion of the average of such values in excess of $12,500,000,000  shall
be 1/12 of .42 of 1 percent of such portion; over (b) any compensation waived by
you from time to time (as more fully described below).  You shall be entitled to
receive  during any month such  interim  payments of your fee  hereunder  as you
shall  request,  provided  that no such  payment  shall exceed 75 percent of the
amount of your fee then accrued on the books of the Fund and unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6.       Avoidance  of  Inconsistent  Position;   Services  Not  Exclusive.   In
connection with purchases or sales of portfolio securities and other investments
for the account of the Fund, neither you nor any of your directors,  officers or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7.       Limitation   of  Liability  of  Manager.   As  an  inducement  to  your
undertaking to render services pursuant to this Agreement, the Trust agrees that
you  shall not be liable  under  this  Agreement  for any error of  judgment  or
mistake  of law or for any  loss  suffered  by the Fund in  connection  with the
matters to which this Agreement relates, provided that nothing in this Agreement
shall be deemed to protect or purport to protect you against  any  liability  to
the Trust,  the Fund or its shareholders to which you would otherwise be subject
by  reason  of  willful  misfeasance,  bad  faith  or  gross  negligence  in the
performance  of your  duties,  or by reason of your  reckless  disregard of your
obligations and duties hereunder.

8.       Duration and Termination of This Agreement. This Agreement shall remain
in  force  until  April  1,  1998,  and  continue  in  force  from  year to year
thereafter,  but only so long as such  continuance is  specifically  approved at
least annually (a) by the vote of a majority of the Trustees who are not parties
to this Agreement or interested persons of any party to this Agreement,  cast in
person at a meeting called for the purpose of voting on such  approval,  and (b)
by the  Trustees of the Trust,  or by the vote of a majority of the  outstanding
voting  securities of the Fund. The aforesaid  requirement  that  continuance of
this Agreement be  "specifically  approved at least annually" shall be construed
in a  manner  consistent  with  the  1940  Act and  the  rules  and  regulations
thereunder and any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written

                                       4
<PAGE>

notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9.       Amendment of this  Agreement.  No provision  of this  Agreement  may be
changed,  waived,  discharged or terminated orally, but only by an instrument in
writing  signed by the party  against whom  enforcement  of the change,  waiver,
discharge or termination is sought,  and no amendment of this Agreement shall be
effective until approved in a manner  consistent with the 1940 Act and rules and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.      Limitation of Liability for Claims.  The Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any  shareholder of the Fund or any other
series of the Trust,  or from any  Trustee,  officer,  employee  or agent of the
Trust.  You understand  that the rights and obligations of each Fund, or series,
under the  Declaration are separate and distinct from those of any and all other
series.

11.      Miscellaneous.   The  captions  in  this  Agreement  are  included  for
convenience  of  reference  only  and  in no  way  define  or  limit  any of the
provisions  hereof or  otherwise  affect  their  construction  or  effect.  This
Agreement may be executed  simultaneously in two or more  counterparts,  each of
which shall be deemed an original,  but all of which together  shall  constitute
one and the same instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                       5
<PAGE>

                                          Yours very truly,

                                          KEMPER HORIZON FUND, on behalf of
                                          Kemper Horizon 10+ Portfolio

                                          By:/s/John E. Neal
                                             -----------------------------------
                                               Vice President


The foregoing Agreement is hereby accepted as of the date hereof.


                                           SCUDDER KEMPER INVESTMENTS, INC.

                                           By:/s/L.S. Birdsong
                                              ----------------------------------
                                                Vice President

                                       6
<PAGE>


                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               December 31, 1997

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                           Kemper Horizon 5 Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized  Kemper Horizon 5 Portfolio (the "Fund").  Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly,  the Trust on behalf of the Fund agrees with
you as follows:

1.  Delivery of  Documents.  The Trust  engages in the business of investing and
reinvesting  the  assets of the Fund in the manner  and in  accordance  with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

    a) The Declaration, as amended to date.

    b) By-Laws of the Trust as in effect on the date hereof (the "By- Laws").

    c) Resolutions of the Trustees of the Trust and the shareholders of the Fund
selecting you as investment manager and approving the form of this Agreement.

    d) Establishment and Designation of Series of Shares of Beneficial  Interest
relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.  Portfolio  Management  Services.  As manager of the assets of the Fund,  you
shall  provide  continuing  investment  management  of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and all other
applicable  federal and state laws and  regulations of which you have knowledge;
subject  always to policies  and

<PAGE>

instructions adopted by the Trust's Board of Trustees.  In connection therewith,
you shall use reasonable efforts to manage the Fund so that it will qualify as a
regulated  investment  company  under  Subchapter M of the Code and  regulations
issued  thereunder.  The Fund shall have the benefit of the investment  analysis
and  research,  the review of  current  economic  conditions  and trends and the
consideration  of  long-range  investment  policy  generally  available  to your
investment  advisory  clients.  In  managing  the  Fund in  accordance  with the
requirements  set forth in this  section 2, you shall be entitled to receive and
act upon advice of counsel to the Trust.  You shall also make  available  to the
Trust promptly upon request all of the Fund's investment  records and ledgers as
are necessary to assist the Trust in complying with the requirements of the 1940
Act and other  applicable laws. To the extent required by law, you shall furnish
to regulatory  authorities  having the requisite  authority any  information  or
reports in  connection  with the services  provided  pursuant to this  Agreement
which may be requested in order to ascertain whether the operations of the Trust
are being conducted in a manner consistent with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.  Administrative  Services.  In addition to the portfolio  management services
specified  above in section 2, you shall  furnish at your expense for the use of
the Fund such office space and  facilities  in the United States as the Fund may
require for its  reasonable  needs,  and you (or one or more of your  affiliates
designated by you) shall render to the Trust  administrative  services on behalf
of the Fund  necessary for operating as an open end  investment  company and not
provided by persons not parties to this Agreement including, but not limited to,
preparing reports to and meeting materials for the Trust's Board of Trustees and
reports and notices to Fund shareholders;  supervising,  negotiating contractual
arrangements with, to the extent appropriate, and monitoring the performance of,
accounting agents, custodians, depositories, transfer agents and pricing agents,
accountants,  attorneys, printers,  underwriters,  brokers and dealers, insurers
and other  persons in any  capacity  deemed to be necessary or desirable to Fund
operations;  preparing  and making  filings  with the  Securities  and  Exchange
Commission (the "SEC") and other regulatory and  self-regulatory  organizations,
including,  but not limited to,  preliminary  and  definitive  proxy  materials,
post-effective amendments to the Registration Statement,  semi-annual reports on
Form N-SAR and notices pursuant to Rule 24f-2 under the 1940 Act; overseeing the
tabulation of proxies by the Fund's transfer agent; assisting in the preparation
and filing of the Fund's  federal,  state and local tax returns;  preparing  and
filing the Fund's  federal  excise tax return  pursuant  to Section  4982 of the
Code;   providing   assistance  with  investor  and  public  relations  matters;
monitoring  the valuation of portfolio  securities  and the  calculation  of net
asset value;  monitoring the registration of Shares of the Fund under applicable
federal and state securities  laws;  maintaining or causing to be maintained for
the Fund all books, records and reports and any other information required under
the 1940 Act,  to the extent  that such  books,  records  and  reports and other
information  are not  maintained by the Fund's  custodian or other agents of the
Fund;  assisting in establishing the accounting policies of the Fund;  assisting
in the resolution of accounting issues that may arise with respect to the Fund's
operations and consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection  therewith;  establishing
and monitoring the Fund's operating expense budgets; reviewing the Fund's bills;
processing the payment of bills that have been approved by an authorized person;
assisting  the Fund in  determining  the amount of dividends  and  distributions
available to be paid by the Fund to its  shareholders,  preparing  and arranging
for the printing of dividend notices to shareholders, and providing the transfer
and dividend  paying agent,  the custodian,  and the accounting  agent with such
information  as is required  for such parties to effect the payment of dividends
and  distributions;  and  otherwise  assisting  the  Trust as it may  reasonably
request in the  conduct of the Fund's  business,  subject to the  direction  and
control of the Trust's  Board of Trustees.  Nothing in this  Agreement  shall be
deemed to shift to you or to diminish the  obligations  of any agent of the Fund
or any other person not a party to this Agreement  which is obligated to provide
services to the Fund.

4. Allocation of Charges and Expenses. Except as otherwise specifically provided
in this section 4, you shall pay the  compensation and expenses of all Trustees,
officers and  executive  employees of the Trust  (including  the Fund's share

                                       2
<PAGE>

of  payroll  taxes)  who are  affiliated  persons  of you,  and you  shall  make
available,  without expense to the Fund, the services of such of your directors,
officers and employees as may duly be elected officers of the Trust,  subject to
their  individual  consent to serve and to any  limitations  imposed by law. You
shall provide at your expense the  portfolio  management  services  described in
section 2 hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

5.  Management  Fee. For all  services to be  rendered,  payments to be made and
costs to be assumed by you as provided in sections 2, 3, and 4 hereof, the Trust
on behalf of the Fund shall pay you in United States  Dollars on the last day of
each month the unpaid balance of a fee equal to the excess of (a) 1/12 of .58 of
1 percent of the average  daily net assets as defined below of the Fund for such
month;  provided  that,  for any calendar month during which the average of such
values exceeds  $250,000,000 the fee payable for that month based on the portion
of the average of such values in excess of $250,000,000  shall be 1/12 of .55 of
1 percent of such portion;  provided  that,  for any calendar month during which
the  average of such  values  exceeds  $1,000,000,000,  the fee payable for that
month  based  on the  portion  of the  average  of  such  values  in  excess  of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based

                                       3
<PAGE>

on the portion of the average of such values in excess of $12,500,000,000  shall
be 1/12 of .42 of 1 percent of such portion; over (b) any compensation waived by
you from time to time (as more fully described below).  You shall be entitled to
receive  during any month such  interim  payments of your fee  hereunder  as you
shall  request,  provided  that no such  payment  shall exceed 75 percent of the
amount of your fee then accrued on the books of the Fund and unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6. Avoidance of  Inconsistent  Position;  Services Not Exclusive.  In connection
with purchases or sales of portfolio  securities and other  investments  for the
account  of the  Fund,  neither  you  nor  any of your  directors,  officers  or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7. Limitation of Liability of Manager.  As an inducement to your  undertaking to
render services pursuant to this Agreement,  the Trust agrees that you shall not
be liable  under this  Agreement  for any error of judgment or mistake of law or
for any loss suffered by the Fund in  connection  with the matters to which this
Agreement  relates,  provided that nothing in this Agreement  shall be deemed to
protect or purport to protect you against any  liability to the Trust,  the Fund
or its shareholders to which you would otherwise be subject by reason of willful
misfeasance, bad faith or gross negligence in the performance of your duties, or
by reason of your reckless disregard of your obligations and duties hereunder.

8. Duration and  Termination of This  Agreement.  This Agreement shall remain in
force until April 1, 1998,  and continue in force from year to year  thereafter,
but only so long as such continuance is specifically  approved at least annually
(a) by the  vote of a  majority  of the  Trustees  who are not  parties  to this
Agreement or interested  persons of any party to this Agreement,  cast in person
at a meeting called for the purpose of voting on such  approval,  and (b) by the
Trustees of the Trust,  or by the vote of a majority of the  outstanding  voting
securities  of the Fund.  The aforesaid  requirement  that  continuance  of this
Agreement be  "specifically  approved at least annually" shall be construed in a
manner consistent with the 1940 Act and the rules and regulations thereunder and
any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written

                                       4
<PAGE>

notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9. Amendment of this  Agreement.  No provision of this Agreement may be changed,
waived,  discharged or terminated  orally,  but only by an instrument in writing
signed by the party against whom enforcement of the change, waiver, discharge or
termination  is sought,  and no amendment of this  Agreement  shall be effective
until  approved  in a  manner  consistent  with  the  1940  Act  and  rules  and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.  Limitation  of  Liability  for Claims.  The  Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any  shareholder of the Fund or any other
series of the Trust,  or from any  Trustee,  officer,  employee  or agent of the
Trust.  You understand  that the rights and obligations of each Fund, or series,
under the  Declaration are separate and distinct from those of any and all other
series.

11.  Miscellaneous.  The captions in this Agreement are included for convenience
of reference only and in no way define or limit any of the provisions  hereof or
otherwise  affect their  construction or effect.  This Agreement may be executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                       5
<PAGE>

                                               Yours very truly,

                                               KEMPER HORIZON FUND, on behalf of
                                               Kemper Horizon 5 Portfolio

                                               By:/s/John E. Neal
                                                  --------------------
                                                  Vice President

The foregoing Agreement is hereby accepted as of the date hereof.

                                               SCUDDER KEMPER INVESTMENTS, INC.

                                               By:/s/Lynn S. Birdsong
                                                  --------------------
                                                  Vice President

                                       6


                                                                           B5(e)

                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                          Kemper Horizon 20+ Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized Kemper Horizon 20+ Portfolio (the "Fund"). Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly, the Trust on behalf of the Fund  agrees with
you as follows:

1.  Delivery of  Documents.  The Trust  engages in the business of investing and
reinvesting  the  assets of the Fund in the manner  and in  accordance  with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

     (a) The Declaration, as amended to date.

     (b) By-Laws of the Trust as in effect on the date hereof (the "By- Laws").

     (c) Resolutions  of the Trustees of the Trust and the  shareholders  of the
         Fund selecting you as investment manager and approving the form of this
         Agreement.

     (d) Establishment  and  Designation  of  Series  of  Shares  of  Beneficial
         Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.  Portfolio  Management  Services.  As manager of the assets of the Fund,  you
shall  provide  continuing  investment  management  of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and



<PAGE>

all other  applicable  federal and state laws and  regulations of which you have
knowledge;  subject always to policies and  instructions  adopted by the Trust's
Board of Trustees. In connection therewith,  you shall use reasonable efforts to
manage the Fund so that it will qualify as a regulated  investment company under
Subchapter M of the Code and regulations issued thereunder.  The Fund shall have
the  benefit of the  investment  analysis  and  research,  the review of current
economic  conditions and trends and the  consideration of long-range  investment
policy generally  available to your investment advisory clients. In managing the
Fund in accordance with the  requirements set forth in this section 2, you shall
be entitled  to receive  and act upon advice of counsel to the Trust.  You shall
also make  available  to the  Trust  promptly  upon  request  all of the  Fund's
investment records and ledgers as are necessary to assist the Trust in complying
with the  requirements of the 1940 Act and other  applicable laws. To the extent
required  by law,  you  shall  furnish  to  regulatory  authorities  having  the
requisite  authority any  information or reports in connection with the services
provided pursuant to this Agreement which may be requested in order to ascertain
whether the operations of the Trust are being  conducted in a manner  consistent
with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.  Administrative  Services.  In addition to the portfolio  management services
specified  above in section 2, you shall  furnish at your expense for the use of
the Fund such office space and  facilities  in the United States as the Fund may
require for its  reasonable  needs,  and you (or one or more of your  affiliates
designated by you) shall render to the Trust  administrative  services on behalf
of the Fund  necessary for operating as an open end  investment  company and not
provided by persons not parties to this Agreement including, but not limited to,
preparing reports to and meeting materials for the Trust's Board of Trustees and
reports and notices to Fund shareholders;  supervising,  negotiating contractual
arrangements with, to the extent appropriate, and monitoring the performance of,
accounting agents, custodians, depositories, transfer agents and pricing agents,
accountants,  attorneys, printers,  underwriters,  brokers and dealers, insurers
and other  persons in any  capacity  deemed to be necessary or desirable to Fund
operations;  preparing  and making  filings  with the  Securities  and  Exchange
Commission (the "SEC") and other regulatory and  self-regulatory  organizations,
including,  but not limited to,  preliminary  and  definitive  proxy  materials,
post-effective amendments to the Registration Statement,  semi-annual reports on
Form N-SAR and notices pursuant to Rule 24f-2 under the 1940 Act; overseeing the
tabulation of proxies by the Fund's transfer agent; assisting in the preparation
and filing of the Fund's  federal,  state and local tax returns;  preparing  and
filing the Fund's  federal  excise tax return  pursuant  to Section  4982 of the
Code;   providing   assistance  with  investor  and  public  relations  matters;
monitoring  the valuation of portfolio  securities  and the  calculation  of net
asset value;  monitoring the registration of Shares of the Fund under applicable
federal and state securities  laws;  maintaining or causing to be maintained for
the Fund all books, records and reports and any other information required under
the 1940 Act,  to the extent  that such  books,  records  and  reports and other
information  are not  maintained by the Fund's  custodian or other agents of the
Fund;  assisting in establishing the accounting policies of the Fund;  assisting
in the resolution of accounting issues that may arise with respect to the Fund's
operations and consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection  therewith;  establishing
and monitoring the Fund's operating expense budgets; reviewing the Fund's bills;
processing the payment of bills that have been approved by an authorized person;
assisting  the Fund in  determining  the amount of dividends  and  distributions
available to be paid by the Fund to its  shareholders,  preparing  and arranging
for the printing of dividend notices to shareholders, and providing the transfer
and dividend  paying agent,  the custodian,  and the accounting  agent with such
information  as is required  for such parties to effect the payment of dividends
and  distributions;  and  otherwise  assisting  the  Trust as it may  reasonably
request in the  conduct of the Fund's  business,  subject to the  direction  and
control of the Trust's


                                       2
<PAGE>

Board of Trustees.  Nothing in this Agreement shall be deemed to shift to you or
to diminish the  obligations  of any agent of the Fund or any other person not a
party to this Agreement which is obligated to provide services to the Fund.

4. Allocation of Charges and Expenses. Except as otherwise specifically provided
in this section 4, you shall pay the  compensation and expenses of all Trustees,
officers and  executive  employees of the Trust  (including  the Fund's share of
payroll taxes) who are affiliated  persons of you, and you shall make available,
without  expense to the Fund, the services of such of your  directors,  officers
and  employees  as may duly be elected  officers of the Trust,  subject to their
individual  consent to serve and to any  limitations  imposed by law.  You shall
provide at your expense the portfolio management services described in section 2
hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

                                       3
<PAGE>

5.  Management  Fee. For all  services to be  rendered,  payments to be made and
costs to be assumed by you as provided in sections 2, 3, and 4 hereof, the Trust
on behalf of the Fund shall pay you in United States  Dollars on the last day of
each month the unpaid balance of a fee equal to the excess of (a) 1/12 of .58 of
1 percent of the average  daily net assets as defined below of the Fund for such
month;  provided  that,  for any calendar month during which the average of such
values exceeds  $250,000,000 the fee payable for that month based on the portion
of the average of such values in excess of $250,000,000  shall be 1/12 of .55 of
1 percent of such portion;  provided  that,  for any calendar month during which
the  average of such  values  exceeds  $1,000,000,000,  the fee payable for that
month  based  on the  portion  of the  average  of  such  values  in  excess  of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based on the  portion of the average of such values in excess of
$12,500,000,000  shall be 1/12 of .42 of 1 percent of such portion; over (b) any
compensation  waived by you from time to time (as more fully  described  below).
You shall be entitled to receive during any month such interim  payments of your
fee hereunder as you shall  request,  provided that no such payment shall exceed
75 percent  of the amount of your fee then  accrued on the books of the Fund and
unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6. Avoidance of  Inconsistent  Position;  Services Not Exclusive.  In connection
with purchases or sales of portfolio  securities and other  investments  for the
account  of the  Fund,  neither  you  nor  any of your  directors,  officers  or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

                                       4
<PAGE>

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7. Limitation of Liability of Manager.  As an inducement to your  undertaking to
render services pursuant to this Agreement,  the Trust agrees that you shall not
be liable  under this  Agreement  for any error of judgment or mistake of law or
for any loss suffered by the Fund in  connection  with the matters to which this
Agreement  relates,  provided that nothing in this Agreement  shall be deemed to
protect or purport to protect you against any  liability to the Trust,  the Fund
or its shareholders to which you would otherwise be subject by reason of willful
misfeasance, bad faith or gross negligence in the performance of your duties, or
by reason of your reckless disregard of your obligations and duties hereunder.

8. Duration and  Termination of This  Agreement.  This Agreement shall remain in
force until April 1, 1998,  and continue in force from year to year  thereafter,
but only so long as such continuance is specifically  approved at least annually
(a) by the  vote of a  majority  of the  Trustees  who are not  parties  to this
Agreement or interested  persons of any party to this Agreement,  cast in person
at a meeting called for the purpose of voting on such  approval,  and (b) by the
Trustees of the Trust,  or by the vote of a majority of the  outstanding  voting
securities  of the Fund.  The aforesaid  requirement  that  continuance  of this
Agreement be  "specifically  approved at least annually" shall be construed in a
manner consistent with the 1940 Act and the rules and regulations thereunder and
any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written
notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9. Amendment of this  Agreement.  No provision of this Agreement may be changed,
waived,  discharged or terminated  orally,  but only by an instrument in writing
signed by the party against whom enforcement of the change, waiver, discharge or
termination  is sought,  and no amendment of this  Agreement  shall be effective
until  approved  in a  manner  consistent  with  the  1940  Act  and  rules  and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.  Limitation  of  Liability  for Claims.  The  Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any


                                       5
<PAGE>

shareholder  of the Fund or any other series of the Trust,  or from any Trustee,
officer,  employee  or agent of the Trust.  You  understand  that the rights and
obligations  of each Fund,  or series,  under the  Declaration  are separate and
distinct from those of any and all other series.

11.  Miscellaneous.  The captions in this Agreement are included for convenience
of reference only and in no way define or limit any of the provisions  hereof or
otherwise  affect their  construction or effect.  This Agreement may be executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.




                                        Yours very truly,

                                        KEMPER HORIZON FUND, on behalf of
                                        Kemper Horizon 20+ Portfolio

                                        By: /s/Mark S. Casady
                                            ------------------
                                             President


The foregoing Agreement is hereby accepted as of the date hereof.


                                       SCUDDER KEMPER INVESTMENTS, INC.

                                       By:  /s/S. R. Beckwith
                                            -----------------
                                             Treasurer

                                       6



                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                          Kemper Horizon 10+ Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized Kemper Horizon 10+ Portfolio (the "Fund"). Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly,  the Trust on behalf of the Fund agrees with
you as follows:

1.  Delivery of  Documents.  The Trust  engages in the business of investing and
reinvesting  the  assets of the Fund in the manner  and in  accordance  with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

     (a) The Declaration, as amended to date.

     (b) By-Laws of the Trust as in effect on the date hereof (the "By- Laws").

     (c) Resolutions  of the Trustees of the Trust and the  shareholders  of the
         Fund selecting you as investment manager and approving the form of this
         Agreement.

     (d) Establishment  and  Designation  of  Series  of  Shares  of  Beneficial
         Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.  Portfolio  Management  Services.  As manager of the assets of the Fund,  you
shall  provide  continuing  investment  management  of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder; and

<PAGE>

all other  applicable  federal and state laws and  regulations of which you have
knowledge;  subject always to policies and  instructions  adopted by the Trust's
Board of Trustees. In connection therewith,  you shall use reasonable efforts to
manage the Fund so that it will qualify as a regulated  investment company under
Subchapter M of the Code and regulations issued thereunder.  The Fund shall have
the  benefit of the  investment  analysis  and  research,  the review of current
economic  conditions and trends and the  consideration of long-range  investment
policy generally  available to your investment advisory clients. In managing the
Fund in accordance with the  requirements set forth in this section 2, you shall
be entitled  to receive  and act upon advice of counsel to the Trust.  You shall
also make  available  to the  Trust  promptly  upon  request  all of the  Fund's
investment records and ledgers as are necessary to assist the Trust in complying
with the  requirements of the 1940 Act and other  applicable laws. To the extent
required  by law,  you  shall  furnish  to  regulatory  authorities  having  the
requisite  authority any  information or reports in connection with the services
provided pursuant to this Agreement which may be requested in order to ascertain
whether the operations of the Trust are being  conducted in a manner  consistent
with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.  Administrative  Services.  In addition to the portfolio  management services
specified  above in section 2, you shall  furnish at your expense for the use of
the Fund such office space and  facilities  in the United States as the Fund may
require for its  reasonable  needs,  and you (or one or more of your  affiliates
designated by you) shall render to the Trust  administrative  services on behalf
of the Fund  necessary for operating as an open end  investment  company and not
provided by persons not parties to this Agreement including, but not limited to,
preparing reports to and meeting materials for the Trust's Board of Trustees and
reports and notices to Fund shareholders;  supervising,  negotiating contractual
arrangements with, to the extent appropriate, and monitoring the performance of,
accounting agents, custodians, depositories, transfer agents and pricing agents,
accountants,  attorneys, printers,  underwriters,  brokers and dealers, insurers
and other  persons in any  capacity  deemed to be necessary or desirable to Fund
operations;  preparing  and making  filings  with the  Securities  and  Exchange
Commission (the "SEC") and other regulatory and  self-regulatory  organizations,
including,  but not limited to,  preliminary  and  definitive  proxy  materials,
post-effective amendments to the Registration Statement,  semi-annual reports on
Form N-SAR and notices pursuant to Rule 24f-2 under the 1940 Act; overseeing the
tabulation of proxies by the Fund's transfer agent; assisting in the preparation
and filing of the Fund's  federal,  state and local tax returns;  preparing  and
filing the Fund's  federal  excise tax return  pursuant  to Section  4982 of the
Code;   providing   assistance  with  investor  and  public  relations  matters;
monitoring  the valuation of portfolio  securities  and the  calculation  of net
asset value;  monitoring the registration of Shares of the Fund under applicable
federal and state securities  laws;  maintaining or causing to be maintained for
the Fund all books, records and reports and any other information required under
the 1940 Act,  to the extent  that such  books,  records  and  reports and other
information  are not  maintained by the Fund's  custodian or other agents of the
Fund;  assisting in establishing the accounting policies of the Fund;  assisting
in the resolution of accounting issues that may arise with respect to the Fund's
operations and consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection  therewith;  establishing
and monitoring the Fund's operating expense budgets; reviewing the Fund's bills;
processing the payment of bills that have been approved by an authorized person;
assisting  the Fund in  determining  the amount of dividends  and  distributions
available to be paid by the Fund to its  shareholders,  preparing  and arranging
for the printing of dividend notices to shareholders, and providing the transfer
and dividend  paying agent,  the custodian,  and the accounting  agent with such
information  as is required  for such parties to effect the payment of dividends
and  distributions;  and  otherwise  assisting  the  Trust as it may  reasonably
request in the  conduct of the Fund's  business,  subject to the  direction  and
control of the Trust's

                                       2
<PAGE>

Board of Trustees.  Nothing in this Agreement shall be deemed to shift to you or
to diminish the  obligations  of any agent of the Fund or any other person not a
party to this Agreement which is obligated to provide services to the Fund.

4. Allocation of Charges and Expenses. Except as otherwise specifically provided
in this section 4, you shall pay the  compensation and expenses of all Trustees,
officers and  executive  employees of the Trust  (including  the Fund's share of
payroll taxes) who are affiliated  persons of you, and you shall make available,
without  expense to the Fund, the services of such of your  directors,  officers
and  employees  as may duly be elected  officers of the Trust,  subject to their
individual  consent to serve and to any  limitations  imposed by law.  You shall
provide at your expense the portfolio management services described in section 2
hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

                                       3
<PAGE>

5.  Management  Fee. For all  services to be  rendered,  payments to be made and
costs to be assumed by you as provided in sections 2, 3, and 4 hereof, the Trust
on behalf of the Fund shall pay you in United States  Dollars on the last day of
each month the unpaid balance of a fee equal to the excess of (a) 1/12 of .58 of
1 percent of the average  daily net assets as defined below of the Fund for such
month;  provided  that,  for any calendar month during which the average of such
values exceeds  $250,000,000 the fee payable for that month based on the portion
of the average of such values in excess of $250,000,000  shall be 1/12 of .55 of
1 percent of such portion;  provided  that,  for any calendar month during which
the  average of such  values  exceeds  $1,000,000,000,  the fee payable for that
month  based  on the  portion  of the  average  of  such  values  in  excess  of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based on the  portion of the average of such values in excess of
$12,500,000,000  shall be 1/12 of .42 of 1 percent of such portion; over (b) any
compensation  waived by you from time to time (as more fully  described  below).
You shall be entitled to receive during any month such interim  payments of your
fee hereunder as you shall  request,  provided that no such payment shall exceed
75 percent  of the amount of your fee then  accrued on the books of the Fund and
unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6. Avoidance of  Inconsistent  Position;  Services Not Exclusive.  In connection
with purchases or sales of portfolio  securities and other  investments  for the
account  of the  Fund,  neither  you  nor  any of your  directors,  officers  or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

                                       4
<PAGE>

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7. Limitation of Liability of Manager.  As an inducement to your  undertaking to
render services pursuant to this Agreement,  the Trust agrees that you shall not
be liable  under this  Agreement  for any error of judgment or mistake of law or
for any loss suffered by the Fund in  connection  with the matters to which this
Agreement  relates,  provided that nothing in this Agreement  shall be deemed to
protect or purport to protect you against any  liability to the Trust,  the Fund
or its shareholders to which you would otherwise be subject by reason of willful
misfeasance, bad faith or gross negligence in the performance of your duties, or
by reason of your reckless disregard of your obligations and duties hereunder.

8. Duration and  Termination of This  Agreement.  This Agreement shall remain in
force until April 1, 1998,  and continue in force from year to year  thereafter,
but only so long as such continuance is specifically  approved at least annually
(a) by the  vote of a  majority  of the  Trustees  who are not  parties  to this
Agreement or interested  persons of any party to this Agreement,  cast in person
at a meeting called for the purpose of voting on such  approval,  and (b) by the
Trustees of the Trust,  or by the vote of a majority of the  outstanding  voting
securities  of the Fund.  The aforesaid  requirement  that  continuance  of this
Agreement be  "specifically  approved at least annually" shall be construed in a
manner consistent with the 1940 Act and the rules and regulations thereunder and
any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written
notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9. Amendment of this  Agreement.  No provision of this Agreement may be changed,
waived,  discharged or terminated  orally,  but only by an instrument in writing
signed by the party against whom enforcement of the change, waiver, discharge or
termination  is sought,  and no amendment of this  Agreement  shall be effective
until  approved  in a  manner  consistent  with  the  1940  Act  and  rules  and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.  Limitation  of  Liability  for Claims.  The  Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any

                                       5
<PAGE>

shareholder  of the Fund or any other series of the Trust,  or from any Trustee,
officer,  employee  or agent of the Trust.  You  understand  that the rights and
obligations  of each Fund,  or series,  under the  Declaration  are separate and
distinct from those of any and all other series.

11.  Miscellaneous.  The captions in this Agreement are included for convenience
of reference only and in no way define or limit any of the provisions  hereof or
otherwise  affect their  construction or effect.  This Agreement may be executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                               Yours very truly,

                                               KEMPER HORIZON FUND, on behalf of
                                               Kemper Horizon 10+ Portfolio

                                               By:/s/Mark S. Casady
                                                  --------------------
                                                  President

The foregoing Agreement is hereby accepted as of the date hereof.

                                               SCUDDER KEMPER INVESTMENTS, INC.

                                               By:/s/S.R. Beckwith
                                                  --------------------
                                                  Treasurer

                                       6



                         INVESTMENT MANAGEMENT AGREEMENT

                               Kemper Horizon Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                           Kemper Horizon 5 Portfolio

Ladies and Gentlemen:

KEMPER  HORIZON  FUND (the  "Trust")  has been  established  as a  Massachusetts
business trust to engage in the business of an investment  company.  Pursuant to
the  Trust's   Declaration  of  Trust,   as  amended  from   time-to-time   (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized  Kemper Horizon 5 Portfolio (the "Fund").  Series may
be abolished and dissolved, and additional series established, from time to time
by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly,  the Trust on behalf of the Fund agrees with
you as follows:

1.  Delivery of  Documents.  The Trust  engages in the business of investing and
reinvesting  the  assets of the Fund in the manner  and in  accordance  with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

     (a) The Declaration, as amended to date.

     (b) By-Laws of the Trust as in effect on the date hereof (the "By- Laws").

     (c) Resolutions  of the Trustees of the Trust and the  shareholders  of the
         Fund selecting you as investment manager and approving the form of this
         Agreement.

     (d) Establishment  and  Designation  of  Series  of  Shares  of  Beneficial
         Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.

2.  Portfolio  Management  Services.  As manager of the assets of the Fund,  you
shall  provide  continuing  investment  management  of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and

<PAGE>

all other  applicable  federal and state laws and  regulations of which you have
knowledge;  subject always to policies and  instructions  adopted by the Trust's
Board of Trustees. In connection therewith,  you shall use reasonable efforts to
manage the Fund so that it will qualify as a regulated  investment company under
Subchapter M of the Code and regulations issued thereunder.  The Fund shall have
the  benefit of the  investment  analysis  and  research,  the review of current
economic  conditions and trends and the  consideration of long-range  investment
policy generally  available to your investment advisory clients. In managing the
Fund in accordance with the  requirements set forth in this section 2, you shall
be entitled  to receive  and act upon advice of counsel to the Trust.  You shall
also make  available  to the  Trust  promptly  upon  request  all of the  Fund's
investment records and ledgers as are necessary to assist the Trust in complying
with the  requirements of the 1940 Act and other  applicable laws. To the extent
required  by law,  you  shall  furnish  to  regulatory  authorities  having  the
requisite  authority any  information or reports in connection with the services
provided pursuant to this Agreement which may be requested in order to ascertain
whether the operations of the Trust are being  conducted in a manner  consistent
with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.  Administrative  Services.  In addition to the portfolio  management services
specified  above in section 2, you shall  furnish at your expense for the use of
the Fund such office space and  facilities  in the United States as the Fund may
require for its  reasonable  needs,  and you (or one or more of your  affiliates
designated by you) shall render to the Trust  administrative  services on behalf
of the Fund  necessary for operating as an open end  investment  company and not
provided by persons not parties to this Agreement including, but not limited to,
preparing reports to and meeting materials for the Trust's Board of Trustees and
reports and notices to Fund shareholders;  supervising,  negotiating contractual
arrangements with, to the extent appropriate, and monitoring the performance of,
accounting agents, custodians, depositories, transfer agents and pricing agents,
accountants,  attorneys, printers,  underwriters,  brokers and dealers, insurers
and other  persons in any  capacity  deemed to be necessary or desirable to Fund
operations;  preparing  and making  filings  with the  Securities  and  Exchange
Commission (the "SEC") and other regulatory and  self-regulatory  organizations,
including,  but not limited to,  preliminary  and  definitive  proxy  materials,
post-effective amendments to the Registration Statement,  semi-annual reports on
Form N-SAR and notices pursuant to Rule 24f-2 under the 1940 Act; overseeing the
tabulation of proxies by the Fund's transfer agent; assisting in the preparation
and filing of the Fund's  federal,  state and local tax returns;  preparing  and
filing the Fund's  federal  excise tax return  pursuant  to Section  4982 of the
Code;   providing   assistance  with  investor  and  public  relations  matters;
monitoring  the valuation of portfolio  securities  and the  calculation  of net
asset value;  monitoring the registration of Shares of the Fund under applicable
federal and state securities  laws;  maintaining or causing to be maintained for
the Fund all books, records and reports and any other information required under
the 1940 Act,  to the extent  that such  books,  records  and  reports and other
information  are not  maintained by the Fund's  custodian or other agents of the
Fund;  assisting in establishing the accounting policies of the Fund;  assisting
in the resolution of accounting issues that may arise with respect to the Fund's
operations and consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection  therewith;  establishing
and monitoring the Fund's operating expense budgets; reviewing the Fund's bills;
processing the payment of bills that have been approved by an authorized person;
assisting  the Fund in  determining  the amount of dividends  and  distributions
available to be paid by the Fund to its  shareholders,  preparing  and arranging
for the printing of dividend notices to shareholders, and providing the transfer
and dividend  paying agent,  the custodian,  and the accounting  agent with such
information  as is required  for such parties to effect the payment of dividends
and  distributions;  and  otherwise  assisting  the  Trust as it may  reasonably
request in the  conduct of the Fund's  business,  subject to the  direction  and
control of the Trust's

                                       2
<PAGE>

Board of Trustees.  Nothing in this Agreement shall be deemed to shift to you or
to diminish the  obligations  of any agent of the Fund or any other person not a
party to this Agreement which is obligated to provide services to the Fund.

4. Allocation of Charges and Expenses. Except as otherwise specifically provided
in this section 4, you shall pay the  compensation and expenses of all Trustees,
officers and  executive  employees of the Trust  (including  the Fund's share of
payroll taxes) who are affiliated  persons of you, and you shall make available,
without  expense to the Fund, the services of such of your  directors,  officers
and  employees  as may duly be elected  officers of the Trust,  subject to their
individual  consent to serve and to any  limitations  imposed by law.  You shall
provide at your expense the portfolio management services described in section 2
hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

                                       3
<PAGE>

5.  Management  Fee. For all  services to be  rendered,  payments to be made and
costs to be assumed by you as provided in sections 2, 3, and 4 hereof, the Trust
on behalf of the Fund shall pay you in United States  Dollars on the last day of
each month the unpaid balance of a fee equal to the excess of (a) 1/12 of .58 of
1 percent of the average  daily net assets as defined below of the Fund for such
month;  provided  that,  for any calendar month during which the average of such
values exceeds  $250,000,000 the fee payable for that month based on the portion
of the average of such values in excess of $250,000,000  shall be 1/12 of .55 of
1 percent of such portion;  provided  that,  for any calendar month during which
the  average of such  values  exceeds  $1,000,000,000,  the fee payable for that
month  based  on the  portion  of the  average  of  such  values  in  excess  of
$1,000,000,000 shall be 1/12 of .53 of 1 percent of such portion; provided that,
for  any  calendar  month  during  which  the  average  of such  values  exceeds
$2,500,000,000,  the fee  payable  for that  month  based on the  portion of the
average  of such  values in excess of  $2,500,000,000  shall be 1/12 of .51 of 1
percent of such portion;  provided that, for any calendar month during which the
average of such values  exceeds  $5,000,000,000,  the fee payable for that month
based on the portion of the  average of such values in excess of  $5,000,000,000
shall  be 1/12 of .48 of 1  percent  of such  portion;  provided  that,  for any
calendar month during which the average of such values  exceeds  $7,500,000,000,
the fee  payable  for that month  based on the  portion  of the  average of such
values  in excess of  $7,500,000,000  shall be 1/12 of .46 of 1 percent  of such
portion;  provided that, for any calendar month during which the average of such
values  exceeds  10,000,000,000,  the fee  payable  for that month  based on the
portion of the average of such values in excess of $10,000,000,000 shall be 1/12
of .44 of 1 percent of such portion;  and provided  that, for any calendar month
during which the average of such values exceeds 12,500,000,000,  the fee payable
for that month  based on the  portion of the average of such values in excess of
$12,500,000,000  shall be 1/12 of .42 of 1 percent of such portion; over (b) any
compensation  waived by you from time to time (as more fully  described  below).
You shall be entitled to receive during any month such interim  payments of your
fee hereunder as you shall  request,  provided that no such payment shall exceed
75 percent  of the amount of your fee then  accrued on the books of the Fund and
unpaid.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.

6. Avoidance of  Inconsistent  Position;  Services Not Exclusive.  In connection
with purchases or sales of portfolio  securities and other  investments  for the
account  of the  Fund,  neither  you  nor  any of your  directors,  officers  or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

                                       4
<PAGE>

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7. Limitation of Liability of Manager.  As an inducement to your  undertaking to
render services pursuant to this Agreement,  the Trust agrees that you shall not
be liable  under this  Agreement  for any error of judgment or mistake of law or
for any loss suffered by the Fund in  connection  with the matters to which this
Agreement  relates,  provided that nothing in this Agreement  shall be deemed to
protect or purport to protect you against any  liability to the Trust,  the Fund
or its shareholders to which you would otherwise be subject by reason of willful
misfeasance, bad faith or gross negligence in the performance of your duties, or
by reason of your reckless disregard of your obligations and duties hereunder.

8. Duration and  Termination of This  Agreement.  This Agreement shall remain in
force until April 1, 1998,  and continue in force from year to year  thereafter,
but only so long as such continuance is specifically  approved at least annually
(a) by the  vote of a  majority  of the  Trustees  who are not  parties  to this
Agreement or interested  persons of any party to this Agreement,  cast in person
at a meeting called for the purpose of voting on such  approval,  and (b) by the
Trustees of the Trust,  or by the vote of a majority of the  outstanding  voting
securities  of the Fund.  The aforesaid  requirement  that  continuance  of this
Agreement be  "specifically  approved at least annually" shall be construed in a
manner consistent with the 1940 Act and the rules and regulations thereunder and
any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written
notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

This  Agreement may be  terminated  with respect to the Fund at any time without
the  payment of any penalty by the Board of Trustees or by vote of a majority of
the  outstanding  voting  securities of the Fund in the event that it shall have
been  established by a court of competent  jurisdiction  that you or any of your
officers or  directors  has taken any action  which  results in a breach of your
covenants set forth herein.

9. Amendment of this  Agreement.  No provision of this Agreement may be changed,
waived,  discharged or terminated  orally,  but only by an instrument in writing
signed by the party against whom enforcement of the change, waiver, discharge or
termination  is sought,  and no amendment of this  Agreement  shall be effective
until  approved  in a  manner  consistent  with  the  1940  Act  and  rules  and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.  Limitation  of  Liability  for Claims.  The  Declaration,  a copy of which,
together with all amendments  thereto, is on file in the Office of the Secretary
of the  Commonwealth  of  Massachusetts,  provides that the name "Kemper Horizon
Fund" refers to the Trustees under the Declaration  collectively as Trustees and
not as  individuals  or  personally,  and that no  shareholder  of the Fund,  or
Trustee,  officer,  employee  or agent of the Trust,  shall be subject to claims
against or obligations of the Trust or of the Fund to any extent whatsoever, but
that the Trust estate only shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any

                                       5
<PAGE>

shareholder  of the Fund or any other series of the Trust,  or from any Trustee,
officer,  employee  or agent of the Trust.  You  understand  that the rights and
obligations  of each Fund,  or series,  under the  Declaration  are separate and
distinct from those of any and all other series.

11.  Miscellaneous.  The captions in this Agreement are included for convenience
of reference only and in no way define or limit any of the provisions  hereof or
otherwise  affect their  construction or effect.  This Agreement may be executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.

If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                               Yours very truly,

                                               KEMPER HORIZON FUND, on behalf of
                                               Kemper Horizon 5 Portfolio

                                               By:/s/Mark S. Casady
                                                  --------------------
                                                  President

The foregoing Agreement is hereby accepted as of the date hereof.

                                               SCUDDER KEMPER INVESTMENTS, INC.

                                               By:/s/S.R. Beckwith
                                                  --------------------
                                                  Treasurer

                                       6



                UNDERWRITING AND DISTRIBUTION SERVICES AGREEMENT

AGREEMENT made this 20th day of January, 1998, between KEMPER HORIZON FUND, a
Massachusetts business trust (the "Fund"), and KEMPER DISTRIBUTORS, INC., a
Delaware corporation ("KDI").

In consideration of the mutual covenants hereinafter contained, it is hereby
agreed by and between the parties hereto as follows:

1. The Fund hereby appoints KDI to act as agent for the distribution of shares
of beneficial interest (hereinafter called "shares") of the Fund in
jurisdictions wherein shares of the Fund may legally be offered for sale;
provided, however, that the Fund in its absolute discretion may (a) issue or
sell shares directly to holders of shares of the Fund upon such terms and
conditions and for such consideration, if any, as it may determine, whether in
connection with the distribution of subscription or purchase rights, the payment
or reinvestment of dividends or distributions, or otherwise; or (b) issue or
sell shares at net asset value to the shareholders of any other investment
company, for which KDI shall act as exclusive distributor, who wish to exchange
all or a portion of their investment in shares of such other investment company
for shares of the Fund. KDI shall appoint various financial service firms
("Firms") to provide distribution services to investors. The Firms shall provide
such office space and equipment, telephone facilities, personnel, literature
distribution, advertising and promotion as is necessary or beneficial for
providing information and distribution services to existing and potential
clients of the Firms. KDI may also provide some of the above services for the
Fund.

KDI accepts such appointment as distributor and principal underwriter and agrees
to render such services and to assume the obligations herein set forth for the
compensation herein provided. KDI shall for all purposes herein provided be
deemed to be an independent contractor and, unless expressly provided herein or
otherwise authorized, shall have no authority to act for or represent the Fund
in any way. KDI, by separate agreement with the Fund, may also serve the Fund in
other capacities. The services of KDI to the Fund under this Agreement are not
to be deemed exclusive, and KDI shall be free to render similar services or
other services to others so long as its services hereunder are not impaired
thereby.
In carrying out its duties and responsibilities hereunder, KDI will, pursuant to
separate written contracts, appoint various Firms to provide advertising,
promotion and other distribution services contemplated hereunder directly to or
for the benefit of existing and potential shareholders who may be clients of
such

<PAGE>

Firms. Such Firms shall at all times be deemed to be independent contractors
retained by KDI and not the Fund. KDI shall use its best efforts with reasonable
promptness to sell such part of the authorized shares of the Fund remaining
unissued as from time to time shall be effectively registered under the
Securities Act of 1933 ("Securities Act"), at prices determined as hereinafter
provided and on terms hereinafter set forth, all subject to applicable federal
and state laws and regulations and to the Agreement and Declaration of Trust of
the Fund.

2. KDI shall sell shares of the Fund to or through qualified Firms in such
manner, not inconsistent with the provisions hereof and the then effective
registration statement (and related prospectus) of the Fund under the Securities
Act, as KDI may determine from time to time, provided that no Firm or other
person shall be appointed or authorized to act as agent of the Fund without the
prior consent of the Fund. In addition to sales made by it as agent of the Fund,
KDI may, in its discretion, also sell shares of the Fund as principal to persons
with whom it does not have selling group agreements.

Shares of any class of any series of the Fund offered for sale or sold by KDI
shall be so offered or sold at a price per share determined in accordance with
the then current prospectus. The price the Fund shall receive for all shares
purchased from it shall be the net asset value used in determining the public
offering price applicable to the sale of such shares. Any excess of the sales
price over the net asset value of the shares of the Fund sold by KDI as agent
shall be retained by KDI as a commission for its services hereunder. KDI may
compensate Firms for sales of shares at the commission levels provided in the
Fund's prospectus from time to time. KDI may pay other commissions, fees or
concessions to Firms, and may pay them to others in its discretion, in such
amounts as KDI shall determine from time to time. KDI shall be entitled to
receive and retain any applicable contingent deferred sales charge as described
in the Fund's prospectus. KDI shall also receive any distribution services fee
payable by the Fund as provided in Section 8 hereof.

KDI will require each Firm to conform to the provisions hereof and the
Registration Statement (and related prospectus) at the time in effect under the
Securities Act with respect to the public offering price or net asset value, as
applicable, of the Fund's shares, and neither KDI nor any such Firms shall
withhold the placing of purchase orders so as to make a profit thereby.

                                       2
<PAGE>

3. The Fund will use its best efforts to keep effectively registered under the
Securities Act for sale as herein contemplated such shares as KDI shall
reasonably request and as the Securities and Exchange Commission shall permit to
be so registered. Notwithstanding any other provision hereof, the Fund may
terminate, suspend or withdraw the offering of shares whenever, in its sole
discretion, it deems such action to be desirable.

4. The Fund will execute any and all documents and furnish any and all
information that may be reasonably necessary in connection with the
qualification of its shares for sale (including the qualification of the Fund as
a dealer where necessary or advisable) in such states as KDI may reasonably
request (it being understood that the Fund shall not be required without its
consent to comply with any requirement which in its opinion is unduly
burdensome). The Fund will furnish to KDI from time to time such information
with respect to the Fund and its shares as KDI may reasonably request for use in
connection with the sale of shares of the Fund.

5. KDI shall issue and deliver or shall arrange for various Firms to issue and
deliver on behalf of the Fund such confirmations of sales made by it pursuant to
this agreement as may be required. At or prior to the time of issuance of
shares, KDI will pay or cause to be paid to the Fund the amount due the Fund for
the sale of such shares. Certificates shall be issued or shares registered on
the transfer books of the Fund in such names and denominations as KDI may
specify.

6. KDI shall order shares of the Fund from the Fund only to the extent that it
shall have received purchase orders therefor. KDI will not make, or authorize
Firms or others to make (a) any short sales of shares of the Fund; or (b) any
sales of such shares to any trustee or officer of the Fund or to any officer or
director of KDI or of any corporation or association furnishing investment
advisory, managerial or supervisory services to the Fund, or to any corporation
or association, unless such sales are made in accordance with the then current
prospectus relating to the sale of such shares. KDI, as agent of and for the
account of the Fund, may repurchase the shares of the Fund at such prices and
upon such terms and conditions as shall be specified in the current prospectus
of the Fund. In selling or reacquiring shares of the Fund for the account of the
Fund, KDI will in all respects conform to the requirements of all state and
federal laws and the Rules of Fair Practice of the National Association of
Securities Dealers, Inc., relating to such sale or reacquisition, as the

                                       3
<PAGE>

case may be, and will indemnify and save harmless the Fund from any damage or
expense on account of any wrongful act by KDI or any employee, representative or
agent of KDI. KDI will observe and be bound by all the provisions of the
Agreement and Declaration of Trust of the Fund (and of any fundamental policies
adopted by the Fund pursuant to the Investment Company Act of 1940, notice of
which shall have been given to KDI) which at the time in any way require, limit,
restrict, prohibit or otherwise regulate any action on the part of KDI
hereunder.

7. The Fund shall assume and pay all charges and expenses of its operations not
specifically assumed or otherwise to be provided by KDI under this Agreement.
The Fund will pay or cause to be paid expenses (including the fees and
disbursements of its own counsel) of any registration of the Fund and its shares
under the United States securities laws and expenses incident to the issuance of
shares of beneficial interest, such as the cost of share certificates, issue
taxes, and fees of the transfer agent. KDI will pay all expenses (other than
expenses which one or more Firms may bear pursuant to any agreement with KDI)
incident to the sale and distribution of the shares issued or sold hereunder,
including, without limiting the generality of the foregoing, all (a) expenses of
printing and distributing any prospectus and of preparing, printing and
distributing or disseminating any other literature, advertising and selling aids
in connection with the offering of the shares for sale (except that such
expenses need not include expenses incurred by the Fund in connection with the
preparation, typesetting, printing and distribution of any registration
statement or prospectus, report or other communication to shareholders in their
capacity as such), (b) expenses of advertising in connection with such offering
and (c) expenses (other than the Fund's auditing expenses) of qualifying or
continuing the qualification of the shares for sale and, in connection
therewith, of qualifying or continuing the qualification of the Fund as a dealer
or broker under the laws of such states as may be designated by KDI under the
conditions herein specified. No transfer taxes, if any, which may be payable in
connection with the issue or delivery of shares sold as herein contemplated or
of the certificates for such shares shall be borne by the Fund, and KDI will
indemnify and hold harmless the Fund against liability for all such transfer
taxes.

8. For the services and facilities described herein in connection with Class B
shares and Class C shares of each series of the Fund, the Fund will pay to KDI
at the end of each calendar month a distribution services fee computed at the
annual rate of .75% of average daily net assets attributable to the Class B

                                       4
<PAGE>

shares and Class C shares of each such series. For the month and year in which
this Agreement becomes effective or terminates, there shall be an appropriate
proration on the basis of the number of days that the Agreement is in effect
during the month and year, respectively. The foregoing fee shall be in addition
to and shall not be reduced or offset by the amount of any contingent deferred
sales charge received by KDI under Section 2 hereof.

The net asset value shall be calculated in accordance with the provisions of the
Fund's current prospectus. On each day when net asset value is not calculated,
the net asset value of a share of any class of any series of the Fund shall be
deemed to be the net asset value of such a share as of the close of business on
the last previous day on which such calculation was made. The distribution
services fee for any class of a series of the Fund shall be based upon average
daily net assets of the series attributable to the class and such fee shall be
charged only to such class.

                                       5
<PAGE>

9. KDI shall prepare reports for the Board of Trustees of the Fund on a
quarterly basis in connection with the Fund's distribution plan for Class B
shares and Class C shares showing amounts paid to the various Firms and such
other information as from time to time shall be reasonably requested by the
Board of Trustees.

10. To the extent applicable, this Agreement constitutes the plan for the Class
B shares and Class C shares of each series of the Fund pursuant to Rule 12b-1
under the Investment Company Act of 1940; and this Agreement and plan shall be
approved and renewed in accordance with Rule 12b-1 for such Class B shares and
Class C shares separately.

This Agreement shall become effective on the date hereof and shall continue
until April 1, 1998; and shall continue from year to year thereafter only so
long as such continuance is approved in the manner required by the Investment
Company Act of 1940.

This Agreement shall automatically terminate in the event of its assignment and
may be terminated at any time without the payment of any penalty by the Fund or
by KDI on sixty (60) days written notice to the other party. The Fund may effect
termination with respect to any class of any series of the Fund by a vote of (i)
a majority of the Board of Trustees, (ii) a majority of the trustees who are not
interested persons of the Fund and who have no direct or indirect financial
interest in this Agreement or in any agreement related to this Agreement, or
(iii) a majority of the outstanding voting securities of the class. Without
prejudice to any other remedies of the Fund, the Fund may terminate this
Agreement at any time immediately upon KDI's failure to fulfill any of its
obligations hereunder.

This Agreement may not be amended to increase the amount to be paid to KDI by
the Fund for services hereunder with respect to a class of any series of the
Fund without the vote of a majority of the outstanding voting securities of such
class. All material amendments to this Agreement must in any event be approved
by a vote of the Board of Trustees of the Fund including the trustees who are
not interested persons of the Fund and who have no direct or indirect financial
interest in this Agreement or in any agreement related to this Agreement, cast
in person at a meeting called for such purpose.
The terms "assignment", "interested" and "vote of a majority of the outstanding
voting securities" shall have the meanings set forth in the Investment Company
Act of 1940 and the rules and regulations thereunder.

                                       6
<PAGE>

Termination of this Agreement shall not affect the right of KDI to receive
payments on any unpaid balance of the compensation described in Section 8 earned
prior to such termination.

11. KDI will not use or distribute, or authorize the use, distribution or
dissemination by Firms or others in connection with the sale of Fund shares any
statements other than those contained in the Fund's current prospectus, except
such supplemental literature or advertising as shall be lawful under federal and
state securities laws and regulations. KDI will furnish the Fund with copies of
all such material.

12. If any provision of this Agreement shall be held or made invalid by a court
decision, statute, rule or otherwise, the remainder shall not be thereby
affected.

13. Any notice under this Agreement shall be in writing, addressed and delivered
or mailed, postage prepaid, to the other party at such address as such other
party may designate for the receipt of such notice.

14. All parties hereto are expressly put on notice of the Fund's Agreement and
Declaration of Trust, and all amendments thereto, all of which are on file with
the Secretary of The Commonwealth of Massachusetts, and the limitation of
shareholder and trustee liability contained therein. This Agreement has been
executed by and on behalf of the Fund by its representatives as such
representatives and not individually, and the obligations of the Fund hereunder
are not binding upon any of the Trustees, officers or shareholders of the Fund
individually but are binding upon only the assets and property of the Fund. With
respect to any claim by KDI for recovery of any liability of the Fund arising
hereunder allocated to a particular series or class, whether in accordance with
the express terms hereof or otherwise, KDI shall have recourse solely against
the assets of that series or class to satisfy such claim and shall have no
recourse against the assets of any other series or class for such purpose.

15. This Agreement shall be construed in accordance with applicable federal law
and the laws of the Commonwealth of Massachusetts.

16. This Agreement is the entire contract between the parties relating to the
subject matter hereof and supersedes all prior agreements between the parties
relating to the subject matter hereof.

                                       7
<PAGE>

IN WITNESS WHEREOF, the Fund and KDI have caused this Agreement to be executed
as of the day and year first above written.


                              KEMPER HORIZON FUND

                              By:/s/John E. Neal
                                 -------------------------

                              Title: Vice President
                                    ----------------------

ATTEST:

/s/Philip J. Collora
- ---------------------------

Title: Secretary
      ---------------------


                              KEMPER DISTRIBUTORS, INC.

                              By:/s/James L. Greenawalt
                                 -------------------------

                              Title: President
                                    ----------------------


ATTEST:

/s/Charles R. Manzoni
- ---------------------------

Title: Secretary
      ---------------------


                                       8
<PAGE>


                UNDERWRITING AND DISTRIBUTION SERVICES AGREEMENT

AGREEMENT made this 1st day of August, 1998, between KEMPER HORIZON FUND, a
Massachusetts business trust (the "Fund"), and KEMPER DISTRIBUTORS, INC., a
Delaware corporation ("KDI").

         In consideration of the mutual covenants hereinafter contained, it is
hereby agreed by and between the parties hereto as follows:

         1. The Fund hereby appoints KDI to act as agent for distribution of
shares of beneficial interest (hereinafter called "shares") of the Fund in
jurisdictions wherein shares of the Fund may legally be offered for sale;
provided, however, that the Fund in its absolute discretion may (a) issue or
sell shares directly to holders of shares of the Fund upon such terms and
conditions and for such consideration, if any, as it may determine, whether in
connection with the distribution of subscription or purchase rights, the payment
or reinvestment of dividends or distributions, or otherwise; or (b) issue or
sell shares at net asset value to the shareholders of any other investment
company, for which KDI shall act as exclusive distributor, who wish to exchange
all or a portion of their investment in shares of such other investment company
for shares of the Fund. KDI shall appoint various financial service firms
("Firms") to provide distribution services to investors. The Firms shall provide
such office space and equipment, telephone facilities, personnel, literature
distribution, advertising and promotion as is necessary or beneficial for
providing information and distribution services to existing and potential
clients of the Firms. KDI may also provide some of the above services for the
Fund.

         KDI accepts such appointment as distributor and principal underwriter
and agrees to render such services and to assume the obligations herein set
forth for the compensation herein provided. KDI shall for all purposes herein
provided be deemed to be an independent contractor and, unless expressly
provided herein or otherwise authorized, shall have no authority to act for or
represent the Fund in any way. KDI, by separate agreement with the Fund, may
also serve the Fund in other capacities. The services of KDI to the Fund under
this Agreement are not to be deemed exclusive, and KDI shall be free to render
similar services or other services to others so long as its services hereunder
are not impaired thereby.

         In carrying out its duties and responsibilities hereunder, KDI will,
pursuant to separate written contracts, appoint various Firms to provide
advertising, promotion and other distribution services contemplated hereunder
directly to or for the benefit of existing and potential shareholders who may be
clients of such Firms. Such Firms shall at all times be deemed to be independent
contractors retained by KDI and not the Fund.

         KDI shall use its best efforts with reasonable promptness to sell such
part of the authorized shares of the Fund remaining unissued as from time to
time shall be effectively

<PAGE>

registered under the Securities Act of 1933 ("Securities Act"), at prices
determined as hereinafter provided and on terms hereinafter set forth, all
subject to applicable federal and state laws and regulations and to the Fund's
organizational documents.

         2. KDI shall sell shares of the Fund to or through qualified Firms in
such manner, not inconsistent with the provisions hereof and the then effective
registration statement (and related prospectus) of the Fund under the Securities
Act, as KDI may determine from time to time, provided that no Firm or other
person shall be appointed or authorized to act as agent of the Fund without
prior consent of the Fund. In addition to sales made by it as agent of the Fund,
KDI may, in its discretion, also sell shares of the Fund as principal to persons
with whom it does not have selling group agreements.

         Shares of any class of any series of the Fund offered for sale or sold
by KDI shall be so offered or sold at a price per share determined in accordance
with the then current prospectus. The price the Fund shall receive for all
shares purchased from it shall be the net asset value used in determining the
public offering price applicable to the sale of such shares. Any excess of the
sales price over the net asset value of the shares of the Fund sold by KDI as
agent shall be retained by KDI as a commission for its services hereunder. KDI
may compensate Firms for sales of shares at the commission levels provided in
the Fund's prospectus from time to time. KDI may pay other commissions, fees or
concessions to Firms, any may pay them to others in its discretion, in such
amounts as KDI shall determine from time to time. KDI shall be entitled to
receive and retain any applicable contingent deferred sales charge as described
in the Fund's prospectus. KDI shall also receive any distribution services fee
payable by the Fund as provided in the Fund's Amended and Restated 12b-1 Plan,
as amended from time to time (the "Plan").

         KDI will require each Firm to conform to the provisions hereof and the
Registration Statement (and related prospectus) at the time in effect under the
Securities Act with respect to the public offering price or net asset value, as
applicable, of the Fund's shares, and neither KDI nor any such Firms shall
withhold the placing of purchase orders so as to make a profit thereby.

         3. The Fund will use its best efforts to keep effectively registered
under the Securities Act for sale as herein contemplated such shares as KDI
shall reasonably request and as the Securities and Exchange Commission shall
permit to be so registered. Notwithstanding any other provision hereof, the Fund
may terminate, suspend or withdraw the offering of shares whenever, in its sole
discretion, it deems such action to be desirable.

         4. The Fund will execute any and all documents and furnish any and all
information that may be reasonably necessary in connection with the
qualification of its shares for sale (including the qualification of the Fund as
a dealer where necessary or advisable) in such states as KDI may reasonably
request (it being understood that the Fund shall not be required without its
consent to comply with any requirement which in its opinion is unduly
burdensome). The Fund will furnish to KDI from time to time such information
with respect to the Fund and its shares as KDI may reasonably request for use in
connection with the sale of shares of the Fund.

<PAGE>

         5. KDI shall issue and deliver or shall arrange for various Firms to
issue and deliver on behalf of the Fund such confirmations of sales made by it
pursuant to this Agreement as may be required. At or prior to the time of
issuance of shares, KDI will pay or cause to be paid to the Fund the amount due
the Fund for the sale of such shares. Certificates shall be issued or shares
registered on the transfer books of the Fund in such names and denominations as
KDI may specify.

         6. KDI shall order shares of the Fund from the Fund only to the extent
that it shall have received purchase orders therefor. KDI will not make, or
authorize Firms or others to make (a) any short sales of shares of the Fund; or
(b) any sales of such shares to any Board member or officer of the Fund or to
any officer or Board member of KDI or of any corporation or association
furnishing investment advisory, managerial or supervisory services to the Fund,
or to any corporation or association, unless such sales are made in accordance
with the then current prospectus relating to the sale of such shares. KDI, as
agent of and for the account of the Fund, may repurchase the shares of the Fund
at such prices and upon such terms and conditions as shall be specified in the
current prospectus of the Fund. In selling or reacquiring shares of the Fund for
the account of the Fund, KDI will in all respects conform to the requirements of
all state and federal laws and the Rules of Fair Practice of the National
Association of Securities Dealers, Inc., relating to such sale or reacquisition,
as the case may be, and will indemnify and save harmless the Fund from any
damage or expense on account of any wrongful act by KDI or any employee,
representative or agent of KDI. KDI will observe and be bound by all the
provisions of the Fund's organizational documents (and of any fundamental
policies adopted by the Fund pursuant to the Investment Company Act of 1940 (the
"Investment Company Act"), notice of which shall have been given to KDI) which
at the time in any way require, limit, restrict, prohibit or otherwise regulate
any action on the part of KDI hereunder.

         7. The Fund shall assume and pay all charges and expenses of its
operations not specifically assumed or otherwise to be provided by KDI under
this Agreement or the Plan. The Fund will pay or cause to be paid expenses
(including the fees and disbursements of its own counsel) of any registration of
the Fund and its shares under the United States securities laws and expenses
incident to the issuance of shares of beneficial interest, such as the cost of
share certificates, issue taxes, and fees of the transfer agent. KDI will pay
all expenses (other than expenses which one or more Firms may bear pursuant to
any agreement with KDI) incident to the sale and distribution of the shares
issued or sold hereunder, including, without limiting the generality of the
foregoing, all (a) expenses of printing and distributing any prospectus and of
preparing, printing and distributing or disseminating any other literature,
advertising and selling aids in connection with the offering of the shares for
sale (except that such expenses need not include expenses incurred by the Fund
in connection with the preparation, typesetting, printing and distribution of
any registration statement or prospectus, report or other communication to
shareholders in their capacity as such), (b) expenses of advertising in
connection with such offering and (c) expenses (other than the Fund's auditing
expenses) of qualifying or continuing the qualification of the shares for sale
and, in connection therewith, of qualifying or continuing

<PAGE>

the qualification of the Fund as a dealer or broker under the laws of such
states as may be designated by KDI under the conditions herein specified. No
transfer taxes, if any, which may be payable in connection with the issue or
delivery or shares sold as herein contemplated or of the certificates for such
shares shall be borne by the Fund, and KDI will indemnify and hold harmless the
Fund against liability for all such transfer taxes.

         8. This Agreement shall become effective on the date hereof and shall
continue until April 1, 1999; and shall continue from year to year thereafter
only so long as such continuance is approved in the manner required by the
Investment Company Act.

         This Agreement shall automatically terminate in the event of its
assignment and may be terminated at any time without the payment of any penalty
by the Fund or by KDI on sixty (60) days' written notice to the other party. The
Fund may effect termination with respect to any class of any series of the Fund
by a vote of (i) a majority of the Board members who are not interested persons
of the Fund and who have no direct or indirect financial interest in the
operation of the Plan, this Agreement, or in any other agreement related to the
Plan, or (ii) a majority of the outstanding voting securities of such series or
class. Without prejudice to any other remedies of the Fund, the Fund may
terminate this Agreement at any time immediately upon KDI's failure to fulfill
any of its obligations hereunder.

         All material amendments to this Agreement must be approved by a vote of
a majority of the Board, and of the Board members who are not interested persons
of the Fund and who have no direct or indirect financial interest in the
operation of the Plan, this Agreement or in any other agreement related to the
Plan, cast in person at a meeting called for such purpose.

         The terms "assignment," "interested person" and "vote of a majority of
the outstanding voting securities" shall have the meanings set forth in the
Investment Company Act and the rules and regulations thereunder.

         KDI shall receive such compensation for its distribution services as
set forth in the Plan. Termination of this Agreement shall not affect the right
of KDI to receive payments on any unpaid balance of the compensation earned
prior to such termination, as set forth in the Plan.

         9. KDI will not use or distribute, or authorize the use, distribution
or dissemination by Firms or others in connection with the sale of Fund shares
any statements other than those contained in the Fund's current prospectus,
except such supplemental literature or advertising as shall be lawful under
federal and state securities laws and regulations. KDI will furnish the Fund
with copies of all such material.

         10. If any provision of this Agreement shall be held or made invalid by
a court decision, statute, rule or otherwise, the remainder shall not be thereby
affected.

         11. Any notice under this Agreement shall be in writing, addressed and
delivered or

<PAGE>

mailed, postage prepaid, to the other party at such address as such other party
may designate for the receipt of such notice.

         12. All parties hereto are expressly put on notice of the Fund's
Agreement and Declaration of Trust, and all amendments thereto, all of which are
on file with the Secretary of The Commonwealth of Massachusetts, and the
limitation of shareholder and trustee liability contained therein. This
Agreement has been executed by and on behalf of the Fund by its representatives
as such representatives and not individually, and the obligations of the Fund
hereunder are not binding upon any of the Trustees, officers or shareholders of
the Fund individually but are binding upon only the assets and property of the
Fund. With respect to any claim by KDI for recovery of any liability of the Fund
arising hereunder allocated to a particular series or class, whether in
accordance with the express terms hereof or otherwise, KDI shall have recourse
solely against the assets of that series or class to satisfy such claim and
shall have no recourse against the assets of any other series or class for such
purpose.

         13. ______ This Agreement shall be construed in accordance with
applicable federal law and with the laws of The Commonwealth of Massachusetts.

         14. ______ This Agreement is the entire contract between the parties
relating to the subject matter hereof and supersedes all prior agreements
between the parties relating to the subject matter hereof.

                        [SIGNATURES APPEAR ON NEXT PAGE]

<PAGE>

         IN WITNESS WHEREOF, the Fund and KDI have caused this Agreement to be
executed as of the day and year first above written.



                              KEMPER HORIZON FUND

                              By:/s/Mark S. Casady
                                 -------------------------

                              Title: President
                                    ----------------------

ATTEST:

/s/Maureen Kane
- ---------------------------

Title: Ass't. Secretary
      -----------------


                              KEMPER DISTRIBUTORS, INC.

                              By:/s/James L. Greenawalt
                                 -------------------------

                              Title: President
                                    ----------------------


ATTEST:

/s/Joan V. Pearson
- ---------------------------

Title: Executive Assistant
      ---------------------


<PAGE>


                UNDERWRITING AND DISTRIBUTION SERVICES AGREEMENT

AGREEMENT made this 7th day of September,  1998,  between KEMPER HORIZON FUND, a
Massachusetts  business  trust (the "Fund"),  and KEMPER  DISTRIBUTORS,  INC., a
Delaware corporation ("KDI").

         In consideration of the mutual covenants hereinafter  contained,  it is
hereby agreed by and between the parties hereto as follows:

         1. The Fund hereby  appoints  KDI to act as agent for  distribution  of
shares of  beneficial  interest  (hereinafter  called  "shares")  of the Fund in
jurisdictions  wherein  shares  of the Fund may  legally  be  offered  for sale;
provided,  however,  that the Fund in its absolute  discretion  may (a) issue or
sell  shares  directly  to  holders  of shares  of the Fund upon such  terms and
conditions and for such consideration,  if any, as it may determine,  whether in
connection with the distribution of subscription or purchase rights, the payment
or reinvestment  of dividends or  distributions,  or otherwise;  or (b) issue or
sell  shares  at net asset  value to the  shareholders  of any other  investment
company, for which KDI shall act as exclusive distributor,  who wish to exchange
all or a portion of their investment in shares of such other investment  company
for  shares of the Fund.  KDI shall  appoint  various  financial  service  firms
("Firms") to provide distribution services to investors. The Firms shall provide
such office space and equipment,  telephone  facilities,  personnel,  literature
distribution,  advertising  and  promotion  as is necessary  or  beneficial  for
providing  information  and  distribution  services  to existing  and  potential
clients of the Firms.  KDI may also provide  some of the above  services for the
Fund.

         KDI accepts such  appointment as distributor and principal  underwriter
and agrees to render  such  services  and to assume the  obligations  herein set
forth for the compensation  herein  provided.  KDI shall for all purposes herein
provided  be  deemed  to be an  independent  contractor  and,  unless  expressly
provided herein or otherwise  authorized,  shall have no authority to act for or
represent the Fund in any way.  KDI, by separate  agreement  with the Fund,  may
also serve the Fund in other  capacities.  The services of KDI to the Fund under
this Agreement are not to be deemed  exclusive,  and KDI shall be free to render
similar  services or other services to others so long as its services  hereunder
are not impaired thereby.

         In carrying out its duties and  responsibilities  hereunder,  KDI will,
pursuant  to  separate  written  contracts,  appoint  various  Firms to  provide
advertising,  promotion and other distribution services  contemplated  hereunder
directly to or for the benefit of existing and potential shareholders who may be
clients of such Firms. Such Firms shall at all times be deemed to be independent
contractors retained by KDI and not the Fund.

         KDI shall use its best efforts with reasonable  promptness to sell such
part of the  authorized  shares of the Fund  remaining  unissued as from time to
time  shall  be  effectively

<PAGE>

registered  under  the  Securities  Act of 1933  ("Securities  Act"),  at prices
determined  as  hereinafter  provided and on terms  hereinafter  set forth,  all
subject to applicable  federal and state laws and  regulations and to the Fund's
organizational documents.

         2. KDI shall sell shares of the Fund to or through  qualified  Firms in
such manner,  not inconsistent with the provisions hereof and the then effective
registration statement (and related prospectus) of the Fund under the Securities
Act,  as KDI may  determine  from time to time,  provided  that no Firm or other
person  shall be  appointed  or  authorized  to act as agent of the Fund without
prior consent of the Fund. In addition to sales made by it as agent of the Fund,
KDI may, in its discretion, also sell shares of the Fund as principal to persons
with whom it does not have selling group agreements.

         Shares of any class of any series of the Fund  offered for sale or sold
by KDI shall be so offered or sold at a price per share determined in accordance
with the then  current  prospectus.  The price the Fund  shall  receive  for all
shares  purchased from it shall be the net asset value used in  determining  the
public offering price  applicable to the sale of such shares.  Any excess of the
sales  price  over the net asset  value of the shares of the Fund sold by KDI as
agent shall be retained by KDI as a commission for its services  hereunder.  KDI
may compensate  Firms for sales of shares at the commission  levels  provided in
the Fund's prospectus from time to time. KDI may pay other commissions,  fees or
concessions  to Firms,  any may pay them to others  in its  discretion,  in such
amounts  as KDI shall  determine  from time to time.  KDI shall be  entitled  to
receive and retain any applicable  contingent deferred sales charge as described
in the Fund's prospectus.  KDI shall also receive any distribution  services fee
payable by the Fund as provided in the Fund's  Amended and Restated  12b-1 Plan,
as amended from time to time (the "Plan").

         KDI will require each Firm to conform to the provisions  hereof and the
Registration  Statement (and related prospectus) at the time in effect under the
Securities Act with respect to the public  offering price or net asset value, as
applicable,  of the Fund's  shares,  and  neither  KDI nor any such Firms  shall
withhold the placing of purchase orders so as to make a profit thereby.

         3. The Fund will use its best  efforts to keep  effectively  registered
under the  Securities  Act for sale as herein  contemplated  such  shares as KDI
shall  reasonably  request and as the Securities and Exchange  Commission  shall
permit to be so registered. Notwithstanding any other provision hereof, the Fund
may terminate,  suspend or withdraw the offering of shares whenever, in its sole
discretion, it deems such action to be desirable.

         4. The Fund will execute any and all  documents and furnish any and all
information   that  may  be  reasonably   necessary  in   connection   with  the
qualification of its shares for sale (including the qualification of the Fund as
a dealer where  necessary  or  advisable)  in such states as KDI may  reasonably
request (it being  understood  that the Fund shall not be  required  without its
consent  to  comply  with  any  requirement  which  in  its  opinion  is  unduly
burdensome).  The Fund will  furnish  to KDI from time to time such  information
with respect to the Fund and its shares as KDI may reasonably request for use in
connection with the sale of shares of the Fund.

<PAGE>

         5. KDI shall  issue and deliver or shall  arrange for various  Firms to
issue and deliver on behalf of the Fund such  confirmations  of sales made by it
pursuant  to this  Agreement  as may be  required.  At or  prior  to the time of
issuance of shares,  KDI will pay or cause to be paid to the Fund the amount due
the Fund for the sale of such  shares.  Certificates  shall be  issued or shares
registered on the transfer books of the Fund in such names and  denominations as
KDI may specify.

         6. KDI shall order  shares of the Fund from the Fund only to the extent
that it shall have  received  purchase  orders  therefor.  KDI will not make, or
authorize  Firms or others to make (a) any short sales of shares of the Fund; or
(b) any sales of such  shares to any Board  member or  officer of the Fund or to
any  officer  or  Board  member  of  KDI or of any  corporation  or  association
furnishing investment advisory,  managerial or supervisory services to the Fund,
or to any corporation or  association,  unless such sales are made in accordance
with the then current  prospectus  relating to the sale of such shares.  KDI, as
agent of and for the account of the Fund,  may repurchase the shares of the Fund
at such prices and upon such terms and  conditions  as shall be specified in the
current prospectus of the Fund. In selling or reacquiring shares of the Fund for
the account of the Fund, KDI will in all respects conform to the requirements of
all  state  and  federal  laws and the Rules of Fair  Practice  of the  National
Association of Securities Dealers, Inc., relating to such sale or reacquisition,
as the case may be,  and will  indemnify  and save  harmless  the Fund  from any
damage  or  expense  on  account  of any  wrongful  act by KDI or any  employee,
representative  or  agent  of KDI.  KDI  will  observe  and be  bound by all the
provisions  of the  Fund's  organizational  documents  (and  of any  fundamental
policies adopted by the Fund pursuant to the Investment Company Act of 1940 (the
"Investment  Company Act"),  notice of which shall have been given to KDI) which
at the time in any way require, limit, restrict,  prohibit or otherwise regulate
any action on the part of KDI hereunder.

         7. The Fund  shall  assume  and pay all  charges  and  expenses  of its
operations  not  specifically  assumed or  otherwise to be provided by KDI under
this  Agreement  or the  Plan.  The Fund  will pay or cause to be paid  expenses
(including the fees and disbursements of its own counsel) of any registration of
the Fund and its shares  under the United  States  securities  laws and expenses
incident to the issuance of shares of beneficial  interest,  such as the cost of
share  certificates,  issue taxes,  and fees of the transfer agent. KDI will pay
all expenses  (other than expenses  which one or more Firms may bear pursuant to
any  agreement  with KDI)  incident to the sale and  distribution  of the shares
issued or sold  hereunder,  including,  without  limiting the  generality of the
foregoing,  all (a) expenses of printing and  distributing any prospectus and of
preparing,  printing and  distributing or  disseminating  any other  literature,
advertising  and selling aids in connection  with the offering of the shares for
sale (except that such expenses need not include  expenses  incurred by the Fund
in connection with the  preparation,  typesetting,  printing and distribution of
any  registration  statement or  prospectus,  report or other  communication  to
shareholders  in their  capacity  as  such),  (b)  expenses  of  advertising  in
connection  with such offering and (c) expenses  (other than the Fund's auditing
expenses) of qualifying or continuing the  qualification  of the shares for sale
and, in connection  therewith,  of qualifying or continuing

<PAGE>

the  qualification  of the Fund as a dealer  or  broker  under  the laws of such
states as may be designated by KDI under the  conditions  herein  specified.  No
transfer  taxes,  if any,  which may be payable in connection  with the issue or
delivery or shares sold as herein  contemplated or of the  certificates for such
shares shall be borne by the Fund,  and KDI will indemnify and hold harmless the
Fund against liability for all such transfer taxes.

         8. This Agreement  shall become  effective on the date hereof and shall
continue until April 1, 1999;  and shall  continue from year to year  thereafter
only so long as such  continuance  is  approved  in the manner  required  by the
Investment Company Act.

         This  Agreement  shall  automatically  terminate  in the  event  of its
assignment  and may be terminated at any time without the payment of any penalty
by the Fund or by KDI on sixty (60) days' written notice to the other party. The
Fund may effect  termination with respect to any class of any series of the Fund
by a vote of (i) a majority of the Board members who are not interested  persons
of the  Fund  and who have no  direct  or  indirect  financial  interest  in the
operation of the Plan, this Agreement,  or in any other agreement related to the
Plan, or (ii) a majority of the outstanding  voting securities of such series or
class.  Without  prejudice  to any  other  remedies  of the  Fund,  the Fund may
terminate this Agreement at any time  immediately  upon KDI's failure to fulfill
any of its obligations hereunder.

         All material amendments to this Agreement must be approved by a vote of
a majority of the Board, and of the Board members who are not interested persons
of the  Fund  and who have no  direct  or  indirect  financial  interest  in the
operation of the Plan, this Agreement or in any other  agreement  related to the
Plan, cast in person at a meeting called for such purpose.

         The terms "assignment,"  "interested person" and "vote of a majority of
the  outstanding  voting  securities"  shall have the  meanings set forth in the
Investment Company Act and the rules and regulations thereunder.

         KDI shall receive such  compensation for its  distribution  services as
set forth in the Plan.  Termination of this Agreement shall not affect the right
of KDI to receive  payments  on any unpaid  balance of the  compensation  earned
prior to such termination, as set forth in the Plan.

         9. KDI will not use or distribute,  or authorize the use,  distribution
or  dissemination  by Firms or others in connection with the sale of Fund shares
any  statements  other than those  contained in the Fund's  current  prospectus,
except such  supplemental  literature  or  advertising  as shall be lawful under
federal and state  securities  laws and  regulations.  KDI will furnish the Fund
with copies of all such material.

         10. If any provision of this Agreement shall be held or made invalid by
a court decision, statute, rule or otherwise, the remainder shall not be thereby
affected.

         11. Any notice under this Agreement shall be in writing,  addressed and
delivered or

<PAGE>

mailed,  postage prepaid, to the other party at such address as such other party
may designate for the receipt of such notice.

         12.  All  parties  hereto  are  expressly  put on notice of the  Fund's
Agreement and Declaration of Trust, and all amendments thereto, all of which are
on file  with  the  Secretary  of The  Commonwealth  of  Massachusetts,  and the
limitation  of  shareholder  and  trustee  liability  contained  therein.   This
Agreement has been executed by and on behalf of the Fund by its  representatives
as such  representatives  and not individually,  and the obligations of the Fund
hereunder are not binding upon any of the Trustees,  officers or shareholders of
the Fund  individually  but are binding upon only the assets and property of the
Fund. With respect to any claim by KDI for recovery of any liability of the Fund
arising  hereunder  allocated  to a  particular  series  or  class,  whether  in
accordance  with the express terms hereof or otherwise,  KDI shall have recourse
solely  against  the assets of that  series or class to  satisfy  such claim and
shall have no recourse  against the assets of any other series or class for such
purpose.

         13. This  Agreement  shall be construed in accordance  with  applicable
federal law and with the laws of The Commonwealth of Massachusetts.

         14. This Agreement is the entire contract  between the parties relating
to the subject  matter hereof and supersedes  all prior  agreements  between the
parties relating to the subject matter hereof.

                        [SIGNATURES APPEAR ON NEXT PAGE]

<PAGE>

         IN WITNESS  WHEREOF,  the Fund and KDI have caused this Agreement to be
executed as of the day and year first above written.



                              KEMPER HORIZON FUND

                              By:/s/Mark S. Casady
                                 -------------------------

                              Title: President
                                    ----------------------

ATTEST:

/s/Maureen Kane
- ---------------------------

Title: Ass't. Secretary
       ----------------


                              KEMPER DISTRIBUTORS, INC.

                              By:/s/James L. Greenawalt
                                 -------------------------

                              Title: President
                                    ----------------------


ATTEST:

/s/Joan V. Pearson
- ---------------------------

Title: Executive Assistant
      ---------------------


<PAGE>


                       FUND ACCOUNTING SERVICES AGREEMENT

THIS AGREEMENT is made on the 31st day of December, 1997 between Kemper Horizon
Fund (the "Fund"), on behalf of Kemper Horizon 20+ Portfolio (hereinafter called
the "Portfolio"), a registered open-end management investment company with its
principal place of business in 222 South Riverside Plaza, Chicago, Illinois
60606 and Scudder Fund Accounting Corporation, with its principal place of
business in Boston, Massachusetts (hereinafter called "FUND ACCOUNTING").

WHEREAS,  the  Portfolio has need to determine its net asset value which service
FUND ACCOUNTING is willing and able to provide;

NOW THEREFORE in consideration of the mutual promises herein made, the Fund and
FUND ACCOUNTING agree as follows:

Section 1.  Duties of FUND ACCOUNTING - General

         FUND ACCOUNTING is authorized to act under the terms of this Agreement
         to calculate the net asset value of the Portfolio as provided in the
         prospectus of the Portfolio and in connection therewith shall:

         a.       Maintain and preserve all accounts, books, financial records
                  and other documents as are required of the Fund under Section
                  31 of the Investment Company Act of 1940 (the "1940 Act") and
                  Rules 31a-1, 31a-2 and 31a-3 thereunder, applicable federal
                  and state laws and any other law or administrative rules or
                  procedures which may be applicable to the Fund on behalf of
                  the Portfolio, other than those accounts, books and financial
                  records required to be maintained by the Fund's investment
                  adviser, custodian or transfer agent and/or books and records
                  maintained by all other service providers necessary for the
                  Fund to conduct its business as a registered open-end
                  management investment company. All such books and records
                  shall be the property of the Fund and shall at all times
                  during regular business hours be open for inspection by, and
                  shall be surrendered promptly upon request of, duly authorized
                  officers of the Fund. All such books and records shall at all
                  times during regular business hours be open for inspection,
                  upon request of duly authorized officers of the Fund, by
                  employees or agents of the Fund and employees and agents of
                  the Securities and Exchange Commission.
         b.       Record the current day's trading activity and such other
                  proper bookkeeping entries as are necessary for determining
                  that day's net asset value and net income.

<PAGE>

         c.       Render statements or copies of records as from time to time
                  are reasonably requested by the Fund.
         d.       Facilitate audits of accounts by the Fund's independent public
                  accountants or by any other auditors employed or engaged by
                  the Fund or by any regulatory body with jurisdiction over the
                  Fund.
         e.       Compute the Portfolio's public offering price and/or its daily
                  dividend rates and money market yields, if applicable, in
                  accordance with Section 3 of the Agreement and notify the Fund
                  and such other persons as the Fund may reasonably request of
                  the net asset value per share, the public offering price
                  and/or its daily dividend rates and money market yields.

Section 2.  Valuation of Securities

         Securities shall be valued in accordance with (a) the Fund's
         Registration Statement, as amended or supplemented from time to time
         (hereinafter referred to as the "Registration Statement"); (b) the
         resolutions of the Board of Trustees of the Fund at the time in force
         and applicable, as they may from time to time be delivered to FUND
         ACCOUNTING, and (c) Proper Instructions from such officers of the Fund
         or other persons as are from time to time authorized by the Board of
         Trustees of the Fund to give instructions with respect to computation
         and determination of the net asset value. FUND ACCOUNTING may use one
         or more external pricing services, including broker-dealers, provided
         that an appropriate officer of the Fund shall have approved such use in
         advance.

Section 3. Computation of Net Asset Value, Public Offering Price, Daily Dividend
Rates and Yields

         FUND ACCOUNTING shall compute the Portfolio's net asset value,
         including net income, in a manner consistent with the specific
         provisions of the Registration Statement. Such computation shall be
         made as of the time or times specified in the Registration Statement.
         FUND ACCOUNTING shall compute the daily dividend rates and money market
         yields, if applicable, in accordance with the methodology set forth in
         the Registration Statement.

Section 4.  FUND ACCOUNTING's Reliance on Instructions and Advice

         In maintaining the Portfolio's books of account and making the
         necessary computations FUND ACCOUNTING shall be entitled

                                       2
<PAGE>

         to receive, and may rely upon, information furnished it by means of
         Proper Instructions, including but not limited to:

         a.       The manner and amount of accrual of expenses to be recorded on
                  the books of the Portfolio;
         b.       The source of quotations to be used for such securities as may
                  not be available through FUND ACCOUNTING's normal pricing
                  services;
         c.       The value to be assigned to any asset for which no price
                  quotations are readily available;
         d.       If applicable, the manner of computation of the public
                  offering price and such other computations as may be
                  necessary;
         e.       Transactions in portfolio securities;
         f.       Transactions in capital shares.

         FUND ACCOUNTING shall be entitled to receive, and shall be entitled to
         rely upon, as conclusive proof of any fact or matter required to be
         ascertained by it hereunder, a certificate, letter or other instrument
         signed by an authorized officer of the Fund or any other person
         authorized by the Fund's Board of Trustees.

         FUND ACCOUNTING shall be entitled to receive and act upon advice of
         Counsel for the Fund at the reasonable expense of the Portfolio and
         shall be without liability for any action taken or thing done in good
         faith in reliance upon such advice.

         FUND ACCOUNTING shall be entitled to receive, and may rely upon,
         information received from the Transfer Agent.

                                       3
<PAGE>

Section 5.  Proper Instructions

         "Proper Instructions" as used herein means any certificate, letter or
         other instrument or telephone call reasonably believed by FUND
         ACCOUNTING to be genuine and to have been properly made or signed by
         any authorized officer of the Fund or person certified to FUND
         ACCOUNTING as being authorized by the Board of Trustees. The Fund, on
         behalf of the Portfolio, shall cause oral instructions to be confirmed
         in writing. Proper Instructions may include communications effected
         directly between electro-mechanical or electronic devices as from time
         to time agreed to by an authorized officer of the Fund and FUND
         ACCOUNTING.

         The Fund, on behalf of the Portfolio, agrees to furnish to the
         appropriate person(s) within FUND ACCOUNTING a copy of the Registration
         Statement as in effect from time to time. FUND ACCOUNTING may
         conclusively rely on the Fund's most recently delivered Registration
         Statement for all purposes under this Agreement and shall not be liable
         to the Portfolio or the Fund in acting in reliance thereon.

Section 6.  Standard of Care

         FUND ACCOUNTING shall exercise reasonable care and diligence in the
         performance of its duties hereunder. The Fund agrees that FUND
         ACCOUNTING shall not be liable under this Agreement for any error of
         judgment or mistake of law made in good faith and consistent with the
         foregoing standard of care, provided that nothing in this Agreement
         shall be deemed to protect or purport to protect FUND ACCOUNTING
         against any liability to the Fund, the Portfolio or its shareholders to
         which FUND ACCOUNTING would otherwise be subject by reason of willful
         misfeasance, bad faith or negligence in the performance of its duties,
         or by reason of its reckless disregard of its obligations and duties
         hereunder.

Section 7.  Compensation and FUND ACCOUNTING Expenses

         FUND ACCOUNTING shall be paid as compensation for its services pursuant
         to this Agreement such compensation as may from time to time be agreed
         upon in writing by the two parties. FUND ACCOUNTING shall be entitled,
         if agreed to by the Fund on behalf of the Portfolio, to recover its
         reasonable telephone, courier or delivery service, and all other
         reasonable out-of-pocket, expenses as incurred,

                                       4
<PAGE>

         including, without limitation, reasonable attorneys' fees and
         reasonable fees for pricing services.

Section 8.  Amendment and Termination

         This Agreement shall continue in full force and effect until terminated
         as hereinafter provided, may be amended at any time by mutual agreement
         of the parties hereto and may be terminated by an instrument in writing
         delivered or mailed to the other party. Such termination shall take
         effect not sooner than sixty (60) days after the date of delivery or
         mailing of such notice of termination. Any termination date is to be no
         earlier than four months from the effective date hereof. Upon
         termination, FUND ACCOUNTING will turn over to the Fund or its designee
         and cease to retain in FUND ACCOUNTING files, records of the
         calculations of net asset value and all other records pertaining to its
         services hereunder; provided, however, FUND ACCOUNTING in its
         discretion may make and retain copies of any and all such records and
         documents which it determines appropriate or for its protection.

Section 9.  Services Not Exclusive

         FUND ACCOUNTING's services pursuant to this Agreement are not to be
         deemed to be exclusive, and it is understood that FUND ACCOUNTING may
         perform fund accounting services for others. In acting under this
         Agreement, FUND ACCOUNTING shall be an independent contractor and not
         an agent of the Fund or the Portfolio.

Section 10.  Limitation of Liability for Claims

         The Fund's Amended and Restated Declaration of Trust, as amended to
         date (the "Declaration"), a copy of which, together with all amendments
         thereto, is on file in the Office of the Secretary of State of the
         Commonwealth of Massachusetts, provides that the name "Kemper Horizon
         Fund" refers to the Trustees under the Declaration collectively as
         trustees and not as individuals or personally, and that no shareholder
         of the Fund or the Portfolio, or Trustee, officer, employee or agent of
         the Fund shall be subject to claims against or obligations of the Trust
         or of the Portfolio to any extent whatsoever, but that the Trust estate
         only shall be liable.

                                       5
<PAGE>

         FUND ACCOUNTING is expressly put on notice of the limitation of
         liability as set forth in the Declaration and FUND ACCOUNTING agrees
         that the obligations assumed by the Fund and/or the Portfolio under
         this Agreement shall be limited in all cases to the Portfolio and its
         assets, and FUND ACCOUNTING shall not seek satisfaction of any such
         obligation from the shareholders or any shareholder of the Fund or the
         Portfolio or any other series of the Fund, or from any Trustee,
         officer, employee or agent of the Fund. FUND ACCOUNTING understands
         that the rights and obligations of the Portfolio under the Declaration
         are separate and distinct from those of any and all other series of the
         Fund.

Section 11.  Notices

         Any notice shall be sufficiently given when delivered or mailed to the
         other party at the address of such party set forth below or to such
         other person or at such other address as such party may from time to
         time specify in writing to the other party.

         If to FUND ACCOUNTING:   Scudder Fund Accounting Corporation
                                  Two International Place
                                  Boston, Massachusetts  02110
                                  Attn:  Vice President

         If to the Fund - Portfolio:    Kemper Horizon Fund
                                        222 South Riverside Plaza
                                        Chicago, Illinois  60606
                                        Attn:  President, Secretary
                                        or Treasurer

                                       6
<PAGE>

Section 12.  Miscellaneous

         This Agreement may not be assigned by FUND ACCOUNTING without the
         consent of the Fund as authorized or approved by resolution of its
         Board of Trustees.

         In connection with the operation of this Agreement, the Fund and FUND
         ACCOUNTING may agree from time to time on such provisions interpretive
         of or in addition to the provisions of this Agreement as in their joint
         opinions may be consistent with this Agreement. Any such interpretive
         or additional provisions shall be in writing, signed by both parties
         and annexed hereto, but no such provisions shall be deemed to be an
         amendment of this Agreement.

         This Agreement shall be governed and construed in accordance with the
         laws of the Commonwealth of Massachusetts.

         This Agreement may be executed simultaneously in two or more
         counterparts, each of which shall be deemed an original, but all of
         which together shall constitute one and the same instrument.

         This Agreement constitutes the entire agreement between the parties
         concerning the subject matter hereof, and supersedes any and all prior
         understandings.

                                       7
<PAGE>

IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be executed
by their respective officers thereunto duly authorized and its seal to be
hereunder affixed as of the date first written above.


     [SEAL]                   KEMPER HORIZON FUND
                              on behalf of Kemper Horizon 20+
                              Portfolio

                              By:/s/Mark S. Casady
                                 -------------------------
                                   President


     [SEAL]                   SCUDDER FUND ACCOUNTING CORPORATION

                              By:/s/John R. Hebble
                                 -------------------------
                                   Vice President

                                       8



                       FUND ACCOUNTING SERVICES AGREEMENT

THIS AGREEMENT is made on the 31st day of December, 1997 between Kemper Horizon
Fund (the "Fund"), on behalf of Kemper Horizon 10+ Portfolio (hereinafter called
the "Portfolio"), a registered open-end management investment company with its
principal place of business in 222 South Riverside Plaza, Chicago, Illinois
60606 and Scudder Fund Accounting Corporation, with its principal place of
business in Boston, Massachusetts (hereinafter called "FUND ACCOUNTING").

WHEREAS, the Portfolio has need to determine its net asset value which service
FUND ACCOUNTING is willing and able to provide;

NOW THEREFORE in consideration of the mutual promises herein made, the Fund and
FUND ACCOUNTING agree as follows:

Section 1.  Duties of FUND ACCOUNTING - General

         FUND ACCOUNTING is authorized to act under the terms of this Agreement
         to calculate the net asset value of the Portfolio as provided in the
         prospectus of the Portfolio and in connection therewith shall:

         a.       Maintain and preserve all accounts, books, financial records
                  and other documents as are required of the Fund under Section
                  31 of the Investment Company Act of 1940 (the "1940 Act") and
                  Rules 31a-1, 31a-2 and 31a-3 thereunder, applicable federal
                  and state laws and any other law or administrative rules or
                  procedures which may be applicable to the Fund on behalf of
                  the Portfolio, other than those accounts, books and financial
                  records required to be maintained by the Fund's investment
                  adviser, custodian or transfer agent and/or books and records
                  maintained by all other service providers necessary for the
                  Fund to conduct its business as a registered open-end
                  management investment company. All such books and records
                  shall be the property of the Fund and shall at all times
                  during regular business hours be open for inspection by, and
                  shall be surrendered promptly upon request of, duly authorized
                  officers of the Fund. All such books and records shall at all
                  times during regular business hours be open for inspection,
                  upon request of duly authorized officers of the Fund, by
                  employees or agents of the Fund and employees and agents of
                  the Securities and Exchange Commission.
         b.       Record the current day's trading activity and such other
                  proper bookkeeping entries as are necessary for determining
                  that day's net asset value and net income.

<PAGE>

         c.       Render statements or copies of records as from time to time
                  are reasonably requested by the Fund.
         d.       Facilitate audits of accounts by the Fund's independent public
                  accountants or by any other auditors employed or engaged by
                  the Fund or by any regulatory body with jurisdiction over the
                  Fund.
         e.       Compute the Portfolio's public offering price and/or its daily
                  dividend rates and money market yields, if applicable, in
                  accordance with Section 3 of the Agreement and notify the Fund
                  and such other persons as the Fund may reasonably request of
                  the net asset value per share, the public offering price
                  and/or its daily dividend rates and money market yields.

Section 2.  Valuation of Securities

         Securities shall be valued in accordance with (a) the Fund's
         Registration Statement, as amended or supplemented from time to time
         (hereinafter referred to as the "Registration Statement"); (b) the
         resolutions of the Board of Trustees of the Fund at the time in force
         and applicable, as they may from time to time be delivered to FUND
         ACCOUNTING, and (c) Proper Instructions from such officers of the Fund
         or other persons as are from time to time authorized by the Board of
         Trustees of the Fund to give instructions with respect to computation
         and determination of the net asset value. FUND ACCOUNTING may use one
         or more external pricing services, including broker-dealers, provided
         that an appropriate officer of the Fund shall have approved such use in
         advance.

Section 3. Computation of Net Asset Value, Public Offering Price, Daily Dividend
Rates and Yields

         FUND ACCOUNTING shall compute the Portfolio's net asset value,
         including net income, in a manner consistent with the specific
         provisions of the Registration Statement. Such computation shall be
         made as of the time or times specified in the Registration Statement.
         FUND ACCOUNTING shall compute the daily dividend rates and money market
         yields, if applicable, in accordance with the methodology set forth in
         the Registration Statement.

Section 4.  FUND ACCOUNTING's Reliance on Instructions and Advice

         In maintaining the Portfolio's books of account and making the
         necessary computations FUND ACCOUNTING shall be entitled

                                       2
<PAGE>

         to receive, and may rely upon, information furnished it by means of
         Proper Instructions, including but not limited to:

         a.       The manner and amount of accrual of expenses to be recorded on
                  the books of the Portfolio;
         b.       The source of quotations to be used for such securities as may
                  not be available through FUND ACCOUNTING's normal pricing
                  services;
         c.       The value to be assigned to any asset for which no price
                  quotations are readily available;
         d.       If applicable, the manner of computation of the public
                  offering price and such other computations as may be
                  necessary;
         e.       Transactions in portfolio securities;
         f.       Transactions in capital shares.

         FUND ACCOUNTING shall be entitled to receive, and shall be entitled to
         rely upon, as conclusive proof of any fact or matter required to be
         ascertained by it hereunder, a certificate, letter or other instrument
         signed by an authorized officer of the Fund or any other person
         authorized by the Fund's Board of Trustees.

         FUND ACCOUNTING shall be entitled to receive and act upon advice of
         Counsel for the Fund at the reasonable expense of the Portfolio and
         shall be without liability for any action taken or thing done in good
         faith in reliance upon such advice.

         FUND ACCOUNTING shall be entitled to receive, and may rely upon,
         information received from the Transfer Agent.

                                       3
<PAGE>

Section 5.  Proper Instructions

         "Proper Instructions" as used herein means any certificate, letter or
         other instrument or telephone call reasonably believed by FUND
         ACCOUNTING to be genuine and to have been properly made or signed by
         any authorized officer of the Fund or person certified to FUND
         ACCOUNTING as being authorized by the Board of Trustees. The Fund, on
         behalf of the Portfolio, shall cause oral instructions to be confirmed
         in writing. Proper Instructions may include communications effected
         directly between electro-mechanical or electronic devices as from time
         to time agreed to by an authorized officer of the Fund and FUND
         ACCOUNTING.

         The Fund, on behalf of the Portfolio, agrees to furnish to the
         appropriate person(s) within FUND ACCOUNTING a copy of the Registration
         Statement as in effect from time to time. FUND ACCOUNTING may
         conclusively rely on the Fund's most recently delivered Registration
         Statement for all purposes under this Agreement and shall not be liable
         to the Portfolio or the Fund in acting in reliance thereon.

Section 6.  Standard of Care

         FUND ACCOUNTING shall exercise reasonable care and diligence in the
         performance of its duties hereunder. The Fund agrees that FUND
         ACCOUNTING shall not be liable under this Agreement for any error of
         judgment or mistake of law made in good faith and consistent with the
         foregoing standard of care, provided that nothing in this Agreement
         shall be deemed to protect or purport to protect FUND ACCOUNTING
         against any liability to the Fund, the Portfolio or its shareholders to
         which FUND ACCOUNTING would otherwise be subject by reason of willful
         misfeasance, bad faith or negligence in the performance of its duties,
         or by reason of its reckless disregard of its obligations and duties
         hereunder.

Section 7.  Compensation and FUND ACCOUNTING Expenses

         FUND ACCOUNTING shall be paid as compensation for its services pursuant
         to this Agreement such compensation as may from time to time be agreed
         upon in writing by the two parties. FUND ACCOUNTING shall be entitled,
         if agreed to by the Fund on behalf of the Portfolio, to recover its
         reasonable telephone, courier or delivery service, and all other
         reasonable out-of-pocket, expenses as incurred,

                                       4
<PAGE>

         including, without limitation, reasonable attorneys' fees and
         reasonable fees for pricing services.

Section 8.  Amendment and Termination

         This Agreement shall continue in full force and effect until terminated
         as hereinafter provided, may be amended at any time by mutual agreement
         of the parties hereto and may be terminated by an instrument in writing
         delivered or mailed to the other party. Such termination shall take
         effect not sooner than sixty (60) days after the date of delivery or
         mailing of such notice of termination. Any termination date is to be no
         earlier than four months from the effective date hereof. Upon
         termination, FUND ACCOUNTING will turn over to the Fund or its designee
         and cease to retain in FUND ACCOUNTING files, records of the
         calculations of net asset value and all other records pertaining to its
         services hereunder; provided, however, FUND ACCOUNTING in its
         discretion may make and retain copies of any and all such records and
         documents which it determines appropriate or for its protection.

Section 9.  Services Not Exclusive

         FUND ACCOUNTING's services pursuant to this Agreement are not to be
         deemed to be exclusive, and it is understood that FUND ACCOUNTING may
         perform fund accounting services for others. In acting under this
         Agreement, FUND ACCOUNTING shall be an independent contractor and not
         an agent of the Fund or the Portfolio.

Section 10.  Limitation of Liability for Claims

         The Fund's Amended and Restated Declaration of Trust, as amended to
         date (the "Declaration"), a copy of which, together with all amendments
         thereto, is on file in the Office of the Secretary of State of the
         Commonwealth of Massachusetts, provides that the name "Kemper Horizon
         Fund" refers to the Trustees under the Declaration collectively as
         trustees and not as individuals or personally, and that no shareholder
         of the Fund or the Portfolio, or Trustee, officer, employee or agent of
         the Fund shall be subject to claims against or obligations of the Trust
         or of the Portfolio to any extent whatsoever, but that the Trust estate
         only shall be liable.

                                       5
<PAGE>

         FUND ACCOUNTING is expressly put on notice of the limitation of
         liability as set forth in the Declaration and FUND ACCOUNTING agrees
         that the obligations assumed by the Fund and/or the Portfolio under
         this Agreement shall be limited in all cases to the Portfolio and its
         assets, and FUND ACCOUNTING shall not seek satisfaction of any such
         obligation from the shareholders or any shareholder of the Fund or the
         Portfolio or any other series of the Fund, or from any Trustee,
         officer, employee or agent of the Fund. FUND ACCOUNTING understands
         that the rights and obligations of the Portfolio under the Declaration
         are separate and distinct from those of any and all other series of the
         Fund.

Section 11.  Notices

         Any notice shall be sufficiently given when delivered or mailed to the
         other party at the address of such party set forth below or to such
         other person or at such other address as such party may from time to
         time specify in writing to the other party.

         If to FUND ACCOUNTING:         Scudder Fund Accounting Corporation
                                        Two International Place
                                        Boston, Massachusetts  02110
                                        Attn:  Vice President

         If to the Fund - Portfolio:    Kemper Horizon Fund
                                        222 South Riverside Plaza
                                        Chicago, Illinois  60606
                                        Attn:  President, Secretary
                                        or Treasurer

                                       6
<PAGE>

Section 12.  Miscellaneous

         This Agreement may not be assigned by FUND ACCOUNTING without the
         consent of the Fund as authorized or approved by resolution of its
         Board of Trustees.

         In connection with the operation of this Agreement, the Fund and FUND
         ACCOUNTING may agree from time to time on such provisions interpretive
         of or in addition to the provisions of this Agreement as in their joint
         opinions may be consistent with this Agreement. Any such interpretive
         or additional provisions shall be in writing, signed by both parties
         and annexed hereto, but no such provisions shall be deemed to be an
         amendment of this Agreement.

         This Agreement shall be governed and construed in accordance with the
         laws of the Commonwealth of Massachusetts.

         This Agreement may be executed simultaneously in two or more
         counterparts, each of which shall be deemed an original, but all of
         which together shall constitute one and the same instrument.

         This Agreement constitutes the entire agreement between the parties
         concerning the subject matter hereof, and supersedes any and all prior
         understandings.

                                       7
<PAGE>

IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be executed
by their respective officers thereunto duly authorized and its seal to be
hereunder affixed as of the date first written above.


     [SEAL]                   KEMPER HORIZON FUND
                              on behalf of Kemper Horizon 10+
                              Portfolio

                              By:/s/Mark S. Casady
                                 --------------------------------
                                   President


     [SEAL]                   SCUDDER FUND ACCOUNTING CORPORATION

                              By:/s/John R. Hebble
                                 --------------------------------
                                   Vice President


                                       8
<PAGE>


                       FUND ACCOUNTING SERVICES AGREEMENT

THIS AGREEMENT is made on the 31st day of December, 1997 between Kemper Horizon
Fund (the "Fund"), on behalf of Kemper Horizon 5 Portfolio (hereinafter called
the "Portfolio"), a registered open-end management investment company with its
principal place of business in 222 South Riverside Plaza, Chicago, Illinois
60606 and Scudder Fund Accounting Corporation, with its principal place of
business in Boston, Massachusetts (hereinafter called "FUND ACCOUNTING").

WHEREAS, the Portfolio has need to determine its net asset value which service
FUND ACCOUNTING is willing and able to provide;

NOW THEREFORE in consideration of the mutual promises herein made, the Fund and
FUND ACCOUNTING agree as follows:

Section 1. Duties of FUND ACCOUNTING - General

         FUND ACCOUNTING is authorized to act under the terms of this Agreement
         to calculate the net asset value of the Portfolio as provided in the
         prospectus of the Portfolio and in connection therewith shall:

         a.       Maintain and preserve all accounts, books, financial records
                  and other documents as are required of the Fund under Section
                  31 of the Investment Company Act of 1940 (the "1940 Act") and
                  Rules 31a-1, 31a-2 and 31a-3 thereunder, applicable federal
                  and state laws and any other law or administrative rules or
                  procedures which may be applicable to the Fund on behalf of
                  the Portfolio, other than those accounts, books and financial
                  records required to be maintained by the Fund's investment
                  adviser, custodian or transfer agent and/or books and records
                  maintained by all other service providers necessary for the
                  Fund to conduct its business as a registered open-end
                  management investment company. All such books and records
                  shall be the property of the Fund and shall at all times
                  during regular business hours be open for inspection by, and
                  shall be surrendered promptly upon request of, duly authorized
                  officers of the Fund. All such books and records shall at all
                  times during regular business hours be open for inspection,
                  upon request of duly authorized officers of the Fund, by
                  employees or agents of the Fund and employees and agents of
                  the Securities and Exchange Commission.
         b.       Record the current day's trading activity and such other
                  proper bookkeeping entries as are necessary for determining
                  that day's net asset value and net income.

<PAGE>

         c.       Render statements or copies of records as from time to time
                  are reasonably requested by the Fund.
         d.       Facilitate audits of accounts by the Fund's independent public
                  accountants or by any other auditors employed or engaged by
                  the Fund or by any regulatory body with jurisdiction over the
                  Fund.
         e.       Compute the Portfolio's public offering price and/or its daily
                  dividend rates and money market yields, if applicable, in
                  accordance with Section 3 of the Agreement and notify the Fund
                  and such other persons as the Fund may reasonably request of
                  the net asset value per share, the public offering price
                  and/or its daily dividend rates and money market yields.

Section 2.  Valuation of Securities

         Securities shall be valued in accordance with (a) the Fund's
         Registration Statement, as amended or supplemented from time to time
         (hereinafter referred to as the "Registration Statement"); (b) the
         resolutions of the Board of Trustees of the Fund at the time in force
         and applicable, as they may from time to time be delivered to FUND
         ACCOUNTING, and (c) Proper Instructions from such officers of the Fund
         or other persons as are from time to time authorized by the Board of
         Trustees of the Fund to give instructions with respect to computation
         and determination of the net asset value. FUND ACCOUNTING may use one
         or more external pricing services, including broker-dealers, provided
         that an appropriate officer of the Fund shall have approved such use in
         advance.

Section 3.  Computation of Net Asset Value, Public Offering Price, Daily
Dividend Rates and Yields

         FUND ACCOUNTING shall compute the Portfolio's net asset value,
         including net income, in a manner consistent with the specific
         provisions of the Registration Statement. Such computation shall be
         made as of the time or times specified in the Registration Statement.
         FUND ACCOUNTING shall compute the daily dividend rates and money market
         yields, if applicable, in accordance with the methodology set forth in
         the Registration Statement.

Section 4.  FUND ACCOUNTING's Reliance on Instructions and Advice

         In maintaining the Portfolio's books of account and making the
         necessary computations FUND ACCOUNTING shall be entitled

                                       2
<PAGE>

         to receive, and may rely upon, information furnished it by means of
         Proper Instructions, including but not limited to:

         a.       The manner and amount of accrual of expenses to be recorded on
                  the books of the Portfolio;
         b.       The source of quotations to be used for such securities as may
                  not be available through FUND ACCOUNTING's normal pricing
                  services;
         c.       The value to be assigned to any asset for which no price
                  quotations are readily available;
         d.       If applicable, the manner of computation of the public
                  offering price and such other computations as may be
                  necessary;
         e.       Transactions in portfolio securities;
         f.       Transactions in capital shares.

         FUND ACCOUNTING shall be entitled to receive, and shall be entitled to
         rely upon, as conclusive proof of any fact or matter required to be
         ascertained by it hereunder, a certificate, letter or other instrument
         signed by an authorized officer of the Fund or any other person
         authorized by the Fund's Board of Trustees.

         FUND ACCOUNTING shall be entitled to receive and act upon advice of
         Counsel for the Fund at the reasonable expense of the Portfolio and
         shall be without liability for any action taken or thing done in good
         faith in reliance upon such advice.

         FUND ACCOUNTING shall be entitled to receive, and may rely upon,
         information received from the Transfer Agent.

                                       3
<PAGE>

Section 5.  Proper Instructions

         "Proper Instructions" as used herein means any certificate, letter or
         other instrument or telephone call reasonably believed by FUND
         ACCOUNTING to be genuine and to have been properly made or signed by
         any authorized officer of the Fund or person certified to FUND
         ACCOUNTING as being authorized by the Board of Trustees. The Fund, on
         behalf of the Portfolio, shall cause oral instructions to be confirmed
         in writing. Proper Instructions may include communications effected
         directly between electro-mechanical or electronic devices as from time
         to time agreed to by an authorized officer of the Fund and FUND
         ACCOUNTING.

         The Fund, on behalf of the Portfolio, agrees to furnish to the
         appropriate person(s) within FUND ACCOUNTING a copy of the Registration
         Statement as in effect from time to time. FUND ACCOUNTING may
         conclusively rely on the Fund's most recently delivered Registration
         Statement for all purposes under this Agreement and shall not be liable
         to the Portfolio or the Fund in acting in reliance thereon.

Section 6.  Standard of Care

         FUND ACCOUNTING shall exercise reasonable care and diligence in the
         performance of its duties hereunder. The Fund agrees that FUND
         ACCOUNTING shall not be liable under this Agreement for any error of
         judgment or mistake of law made in good faith and consistent with the
         foregoing standard of care, provided that nothing in this Agreement
         shall be deemed to protect or purport to protect FUND ACCOUNTING
         against any liability to the Fund, the Portfolio or its shareholders to
         which FUND ACCOUNTING would otherwise be subject by reason of willful
         misfeasance, bad faith or negligence in the performance of its duties,
         or by reason of its reckless disregard of its obligations and duties
         hereunder.

Section 7.  Compensation and FUND ACCOUNTING Expenses

         FUND ACCOUNTING shall be paid as compensation for its services pursuant
         to this Agreement such compensation as may from time to time be agreed
         upon in writing by the two parties. FUND ACCOUNTING shall be entitled,
         if agreed to by the Fund on behalf of the Portfolio, to recover its
         reasonable telephone, courier or delivery service, and all other
         reasonable out-of-pocket, expenses as incurred,

                                       4
<PAGE>

         including, without limitation, reasonable attorneys' fees and
         reasonable fees for pricing services.

Section 8.  Amendment and Termination

         This Agreement shall continue in full force and effect until terminated
         as hereinafter provided, may be amended at any time by mutual agreement
         of the parties hereto and may be terminated by an instrument in writing
         delivered or mailed to the other party. Such termination shall take
         effect not sooner than sixty (60) days after the date of delivery or
         mailing of such notice of termination. Any termination date is to be no
         earlier than four months from the effective date hereof. Upon
         termination, FUND ACCOUNTING will turn over to the Fund or its designee
         and cease to retain in FUND ACCOUNTING files, records of the
         calculations of net asset value and all other records pertaining to its
         services hereunder; provided, however, FUND ACCOUNTING in its
         discretion may make and retain copies of any and all such records and
         documents which it determines appropriate or for its protection.

Section 9.  Services Not Exclusive

         FUND ACCOUNTING's services pursuant to this Agreement are not to be
         deemed to be exclusive, and it is understood that FUND ACCOUNTING may
         perform fund accounting services for others. In acting under this
         Agreement, FUND ACCOUNTING shall be an independent contractor and not
         an agent of the Fund or the Portfolio.

Section 10.  Limitation of Liability for Claims

         The Fund's Amended and Restated Declaration of Trust, as amended to
         date (the "Declaration"), a copy of which, together with all amendments
         thereto, is on file in the Office of the Secretary of State of the
         Commonwealth of Massachusetts, provides that the name "Kemper Horizon
         Fund" refers to the Trustees under the Declaration collectively as
         trustees and not as individuals or personally, and that no shareholder
         of the Fund or the Portfolio, or Trustee, officer, employee or agent of
         the Fund shall be subject to claims against or obligations of the Trust
         or of the Portfolio to any extent whatsoever, but that the Trust estate
         only shall be liable.

                                       5
<PAGE>

         FUND ACCOUNTING is expressly put on notice of the limitation of
         liability as set forth in the Declaration and FUND ACCOUNTING agrees
         that the obligations assumed by the Fund and/or the Portfolio under
         this Agreement shall be limited in all cases to the Portfolio and its
         assets, and FUND ACCOUNTING shall not seek satisfaction of any such
         obligation from the shareholders or any shareholder of the Fund or the
         Portfolio or any other series of the Fund, or from any Trustee,
         officer, employee or agent of the Fund. FUND ACCOUNTING understands
         that the rights and obligations of the Portfolio under the Declaration
         are separate and distinct from those of any and all other series of the
         Fund.

Section 11.  Notices

         Any notice shall be sufficiently given when delivered or mailed to the
         other party at the address of such party set forth below or to such
         other person or at such other address as such party may from time to
         time specify in writing to the other party.

         If to FUND ACCOUNTING:   Scudder Fund Accounting Corporation
                                  Two International Place
                                  Boston, Massachusetts  02110
                                  Attn:  Vice President

         If to the Fund - Portfolio:    Kemper Horizon Fund
                                        222 South Riverside Plaza
                                        Chicago, Illinois  60606
                                        Attn:  President, Secretary
                                        or Treasurer

                                       6
<PAGE>

Section 12.  Miscellaneous

         This Agreement may not be assigned by FUND ACCOUNTING without the
         consent of the Fund as authorized or approved by resolution of its
         Board of Trustees.

         In connection with the operation of this Agreement, the Fund and FUND
         ACCOUNTING may agree from time to time on such provisions interpretive
         of or in addition to the provisions of this Agreement as in their joint
         opinions may be consistent with this Agreement. Any such interpretive
         or additional provisions shall be in writing, signed by both parties
         and annexed hereto, but no such provisions shall be deemed to be an
         amendment of this Agreement.

         This Agreement shall be governed and construed in accordance with the
         laws of the Commonwealth of Massachusetts.

         This Agreement may be executed simultaneously in two or more
         counterparts, each of which shall be deemed an original, but all of
         which together shall constitute one and the same instrument.

         This Agreement constitutes the entire agreement between the parties
         concerning the subject matter hereof, and supersedes any and all prior
         understandings.

                                       7
<PAGE>

IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be executed
by their respective officers thereunto duly authorized and its seal to be
hereunder affixed as of the date first written above.


     [SEAL]                   KEMPER HORIZON FUND
                              on behalf of Kemper Horizon 5
                              Portfolio

                              By:/s/Mark S. Casady
                                 -------------------------
                                   President


     [SEAL]                   SCUDDER FUND ACCOUNTING CORPORATION

                              By:/s/John R. Hebble
                                 -------------------------
                                   Vice President

                                       8




                         CONSENT OF INDEPENDENT AUDITORS

We  consent  to  the  reference  to  our  firm  under  the  captions  "Financial
Highlights" and "Independent  Auditors and Reports to  Shareholders"  and to the
use of our report dated September 17, 1998 in the  Registration  Statement (Form
N-1A) of Kemper Horizon Fund and its  incorporation  by reference in the related
Prospectus and Statement of Additional Information filed with the Securities and
Exchange Commission in this  Post-Effective  Amendment No. 3 to the Registration
Statement  under the  Securities  Act of 1933  (File No.  33-63467)  and in this
Amendment No. 5 to the Registration  Statement under the Investment  Company Act
of 1940 (File No. 811-7365).




                                                        ERNST & YOUNG LLP


Chicago, Illinois
November 23, 1998

                    Fund:            Kemper Horizon Fund (the "Fund")
                                     -------------------               
                    Series:          Kemper Horizon 20+ Portfolio (the "Series")
                                     ----------------------------               
                    Class:           Class B (the "Class")
                                     -------               


                         AMENDED AND RESTATED 12b-1 PLAN

         Pursuant to the provisions of Rule 12b-1 under the  Investment  Company
Act of 1940 (the "Act"),  this Amended and Restated  12b-1 Plan (the "Plan") has
been adopted for the Fund, on behalf of the Series,  for the Class (all as noted
and  defined  above) by a  majority  of the  members  of the  Fund's  Board (the
"Board"),  including  a majority of the Board  members  who are not  "interested
persons"  of the Fund and who have no direct or indirect  financial  interest in
the  operation  of the  Plan  or in any  agreements  related  to the  Plan  (the
"Qualified Board Members") at a meeting called for the purpose of voting on this
Plan.

         1. Compensation. The Fund will pay to Kemper Distributors, Inc. ("KDI")
at the end of each calendar  month a  distribution  services fee computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

         2. Periodic  Reporting.  KDI shall  prepare  reports for the Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

         3.  Continuance.  This Plan  shall  continue  in  effect  indefinitely,
provided  that such  continuance  is approved  at least  annually by a vote of a
majority of the Board,  and of the Qualified Board Members,  cast in person at a
meeting  called  for  such  purpose  or by vote of at  least a  majority  of the
outstanding voting securities of the Class.

         4. Termination. This Plan may be terminated at any time without penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.



<PAGE>
         5. Amendment.  This Plan may not be amended to increase  materially the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

         6. Selection of Non-Interested  Board Members.  So long as this Plan is
in effect,  the  selection  and  nomination  of those Board  members who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

         7.  Recordkeeping.  The Fund will  preserve  copies of this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

         8. Limitation of Liability.  Any obligation of the Fund hereunder shall
be  binding  only upon the  assets of the Class and shall not be  binding on any
Board member, officer,  employee, agent, or shareholder of the Fund. Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

         9. Definitions.  The terms "interested  person" and "vote of a majority
of the outstanding  voting  securities" shall have the meanings set forth in the
Act and the rules and regulations thereunder.

         10. Severability;  Separate Action. If any provision of this Plan shall
be held or made invalid by a court decision, rule or otherwise, the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.


(Amended and restated August 1, 1998)


                 Fund:            Kemper Horizon Fund (the "Fund")
                                  -------------------
                 Series:          Kemper Horizon 20+ Portfolio (the "Series")
                                  ----------------------------
                 Class:           Class C (the "Class")
                                  -------


                         AMENDED AND RESTATED 12b-1 PLAN

         Pursuant to the provisions of Rule 12b-1 under the  Investment  Company
Act of 1940 (the "Act"),  this Amended and Restated  12b-1 Plan (the "Plan") has
been adopted for the Fund, on behalf of the Series,  for the Class (all as noted
and  defined  above) by a  majority  of the  members  of the  Fund's  Board (the
"Board"),  including  a majority of the Board  members  who are not  "interested
persons"  of the Fund and who have no direct or indirect  financial  interest in
the  operation  of the  Plan  or in any  agreements  related  to the  Plan  (the
"Qualified Board Members") at a meeting called for the purpose of voting on this
Plan.

         1. Compensation. The Fund will pay to Kemper Distributors, Inc. ("KDI")
at the end of each calendar  month a  distribution  services fee computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

         2. Periodic  Reporting.  KDI shall  prepare  reports for the Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

         3.  Continuance.  This Plan  shall  continue  in  effect  indefinitely,
provided  that such  continuance  is approved  at least  annually by a vote of a
majority of the Board,  and of the Qualified Board Members,  cast in person at a
meeting  called  for  such  purpose  or by vote of at  least a  majority  of the
outstanding voting securities of the Class.

         4. Termination. This Plan may be terminated at any time without penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.



<PAGE>
         5. Amendment.  This Plan may not be amended to increase  materially the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

         6. Selection of Non-Interested  Board Members.  So long as this Plan is
in effect,  the  selection  and  nomination  of those Board  members who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

         7.  Recordkeeping.  The Fund will  preserve  copies of this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

         8. Limitation of Liability.  Any obligation of the Fund hereunder shall
be  binding  only upon the  assets of the Class and shall not be  binding on any
Board member, officer,  employee, agent, or shareholder of the Fund. Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

         9. Definitions.  The terms "interested  person" and "vote of a majority
of the outstanding  voting  securities" shall have the meanings set forth in the
Act and the rules and regulations thereunder.

         10. Severability;  Separate Action. If any provision of this Plan shall
be held or made invalid by a court decision, rule or otherwise, the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.


(Amended and restated August 1, 1998)


                    Fund:            Kemper Horizon Fund (the "Fund")
                                     -------------------
                    Series:          Kemper Horizon 10+ Portfolio (the "Series")
                                     ----------------------------
                    Class:           Class B (the "Class")
                                     -------


                         AMENDED AND RESTATED 12b-1 PLAN

         Pursuant to the provisions of Rule 12b-1 under the  Investment  Company
Act of 1940 (the "Act"),  this Amended and Restated  12b-1 Plan (the "Plan") has
been adopted for the Fund, on behalf of the Series,  for the Class (all as noted
and  defined  above) by a  majority  of the  members  of the  Fund's  Board (the
"Board"),  including  a majority of the Board  members  who are not  "interested
persons"  of the Fund and who have no direct or indirect  financial  interest in
the  operation  of the  Plan  or in any  agreements  related  to the  Plan  (the
"Qualified Board Members") at a meeting called for the purpose of voting on this
Plan.

         1. Compensation. The Fund will pay to Kemper Distributors, Inc. ("KDI")
at the end of each calendar  month a  distribution  services fee computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

         2. Periodic  Reporting.  KDI shall  prepare  reports for the Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

         3.  Continuance.  This Plan  shall  continue  in  effect  indefinitely,
provided  that such  continuance  is approved  at least  annually by a vote of a
majority of the Board,  and of the Qualified Board Members,  cast in person at a
meeting  called  for  such  purpose  or by vote of at  least a  majority  of the
outstanding voting securities of the Class.

         4. Termination. This Plan may be terminated at any time without penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.



<PAGE>
         5. Amendment.  This Plan may not be amended to increase  materially the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

         6. Selection of Non-Interested  Board Members.  So long as this Plan is
in effect,  the  selection  and  nomination  of those Board  members who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

         7.  Recordkeeping.  The Fund will  preserve  copies of this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

         8. Limitation of Liability.  Any obligation of the Fund hereunder shall
be  binding  only upon the  assets of the Class and shall not be  binding on any
Board member, officer,  employee, agent, or shareholder of the Fund. Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

         9. Definitions.  The terms "interested  person" and "vote of a majority
of the outstanding  voting  securities" shall have the meanings set forth in the
Act and the rules and regulations thereunder.

         10. Severability;  Separate Action. If any provision of this Plan shall
be held or made invalid by a court decision, rule or otherwise, the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.


(Amended and restated August 1, 1998)


                    Fund:            Kemper Horizon Fund (the "Fund")
                                     -------------------
                    Series:          Kemper Horizon 10+ Portfolio (the "Series")
                                     ----------------------------
                    Class:           Class C (the "Class")
                                     -------


                         AMENDED AND RESTATED 12b-1 PLAN

         Pursuant to the provisions of Rule 12b-1 under the  Investment  Company
Act of 1940 (the "Act"),  this Amended and Restated  12b-1 Plan (the "Plan") has
been adopted for the Fund, on behalf of the Series,  for the Class (all as noted
and  defined  above) by a  majority  of the  members  of the  Fund's  Board (the
"Board"),  including  a majority of the Board  members  who are not  "interested
persons"  of the Fund and who have no direct or indirect  financial  interest in
the  operation  of the  Plan  or in any  agreements  related  to the  Plan  (the
"Qualified Board Members") at a meeting called for the purpose of voting on this
Plan.

         1. Compensation. The Fund will pay to Kemper Distributors, Inc. ("KDI")
at the end of each calendar  month a  distribution  services fee computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

         2. Periodic  Reporting.  KDI shall  prepare  reports for the Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

         3.  Continuance.  This Plan  shall  continue  in  effect  indefinitely,
provided  that such  continuance  is approved  at least  annually by a vote of a
majority of the Board,  and of the Qualified Board Members,  cast in person at a
meeting  called  for  such  purpose  or by vote of at  least a  majority  of the
outstanding voting securities of the Class.

         4. Termination. This Plan may be terminated at any time without penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.



<PAGE>
         5. Amendment.  This Plan may not be amended to increase  materially the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

         6. Selection of Non-Interested  Board Members.  So long as this Plan is
in effect,  the  selection  and  nomination  of those Board  members who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

         7.  Recordkeeping.  The Fund will  preserve  copies of this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

         8. Limitation of Liability.  Any obligation of the Fund hereunder shall
be  binding  only upon the  assets of the Class and shall not be  binding on any
Board member, officer,  employee, agent, or shareholder of the Fund. Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

         9. Definitions.  The terms "interested  person" and "vote of a majority
of the outstanding  voting  securities" shall have the meanings set forth in the
Act and the rules and regulations thereunder.

         10. Severability;  Separate Action. If any provision of this Plan shall
be held or made invalid by a court decision, rule or otherwise, the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.


(Amended and restated August 1, 1998)



                           Fund:     Kemper Horizon Fund (the "Fund")
                                     -------------------
                           Series:   Kemper Horizon 5 Portfolio (the "Series")
                                     --------------------------
                           Class:    Class B (the "Class")
                                     -------

                         AMENDED AND RESTATED 12b-1 PLAN

     Pursuant to the provisions of Rule 12b-1 under the  Investment  Company Act
of 1940 (the "Act"),  this Amended and Restated 12b-1 Plan (the "Plan") has been
adopted for the Fund,  on behalf of the Series,  for the Class (all as noted and
defined  above) by a majority of the members of the Fund's Board (the  "Board"),
including a majority of the Board  members who are not  "interested  persons" of
the Fund and who have no direct or indirect  financial interest in the operation
of the Plan or in any  agreements  related  to the Plan  (the  "Qualified  Board
Members") at a meeting called for the purpose of voting on this Plan.

     1. Compensation. The Fund will pay to Kemper Distributors,  Inc. ("KDI") at
the end of each  calendar  month a  distribution  services  fee  computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

     2.  Periodic  Reporting.  KDI  shall  prepare  reports  for the  Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

     3. Continuance.  This Plan shall continue in effect indefinitely,  provided
that such  continuance  is approved at least annually by a vote of a majority of
the  Board,  and of the  Qualified  Board  Members,  cast in person at a meeting
called for such  purpose or by vote of at least a  majority  of the  outstanding
voting securities of the Class.

     4.  Termination.  This Plan may be terminated  at any time without  penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.

<PAGE>

     5.  Amendment.  This Plan may not be amended  to  increase  materially  the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

     6. Selection of  Non-Interested  Board Members.  So long as this Plan is in
effect,  the  selection  and  nomination  of  those  Board  members  who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

     7.  Recordkeeping.  The  Fund  will  preserve  copies  of  this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

     8.  Limitation of Liability.  Any obligation of the Fund hereunder shall be
binding  only upon the assets of the Class and shall not be binding on any Board
member,  officer,  employee,  agent,  or  shareholder  of the Fund.  Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

     9. Definitions.  The terms  "interested  person" and "vote of a majority of
the outstanding  voting securities" shall have the meanings set forth in the Act
and the rules and regulations thereunder.

     10.  Severability;  Separate Action. If any provision of this Plan shall be
held or made invalid by a court  decision,  rule or otherwise,  the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.

(Amended and restated August 1, 1998)


                Fund:   Kemper Horizon Fund (the "Fund")
                        -------------------
                Series: Kemper Horizon 5 Portfolio (the "Series")
                        --------------------------
                Class:  Class C (the "Class")
                        -------


                         AMENDED AND RESTATED 12b-1 PLAN

         Pursuant to the provisions of Rule 12b-1 under the  Investment  Company
Act of 1940 (the "Act"),  this Amended and Restated  12b-1 Plan (the "Plan") has
been adopted for the Fund, on behalf of the Series,  for the Class (all as noted
and  defined  above) by a  majority  of the  members  of the  Fund's  Board (the
"Board"),  including  a majority of the Board  members  who are not  "interested
persons"  of the Fund and who have no direct or indirect  financial  interest in
the  operation  of the  Plan  or in any  agreements  related  to the  Plan  (the
"Qualified Board Members") at a meeting called for the purpose of voting on this
Plan.

         1. Compensation. The Fund will pay to Kemper Distributors, Inc. ("KDI")
at the end of each calendar  month a  distribution  services fee computed at the
annual  rate of .75% of  average  daily  net  assets  attributable  to the Class
shares.  KDI may compensate  various  financial  service firms  appointed by KDI
("Firms") in  accordance  with the  provisions  of the Fund's  Underwriting  and
Distribution Agreement (the "Distribution Agreement") for sales of shares at the
fee levels  provided  in the Fund's  prospectus  from time to time.  KDI may pay
other  commissions,  fees or concessions to Firms, and may pay them to others in
its  discretion,  in such amounts as KDI shall  determine from time to time. The
distribution  services fee for the Class shall be based upon  average  daily net
assets of the  Series  attributable  to the Class and such fee shall be  charged
only to the Class.  For the month and year in which this Plan becomes  effective
or  terminates,  there shall be an  appropriate  proration  of the  distribution
services  fee set forth in Paragraph 1 hereof on the basis of the number of days
that the Plan and any  agreements  related to the Plan are in effect  during the
month and year, respectively. The distribution services fee shall be in addition
to and shall not be reduced or offset by the amount of any  contingent  deferred
sales charge received by KDI.

         2. Periodic  Reporting.  KDI shall  prepare  reports for the Board on a
quarterly basis for the Class showing amounts paid to the various Firms and such
other  information  as from time to time shall be  reasonably  requested  by the
Board.

         3.  Continuance.  This Plan  shall  continue  in  effect  indefinitely,
provided  that such  continuance  is approved  at least  annually by a vote of a
majority of the Board,  and of the Qualified Board Members,  cast in person at a
meeting  called  for  such  purpose  or by vote of at  least a  majority  of the
outstanding voting securities of the Class.

         4. Termination. This Plan may be terminated at any time without penalty
with respect to the Class by vote of a majority of the  Qualified  Board Members
or by vote of the majority of the outstanding voting securities of the Class.



<PAGE>

         5. Amendment.  This Plan may not be amended to increase  materially the
amount to be paid to KDI by the Fund for  distribution  services with respect to
the Class without the vote of a majority of the outstanding voting securities of
the Class. All material amendments to this Plan must in any event be approved by
a vote of a majority of the Board,  and of the Qualified Board Members,  cast in
person at a meeting called for such purpose.

         6. Selection of Non-Interested  Board Members.  So long as this Plan is
in effect,  the  selection  and  nomination  of those Board  members who are not
interested  persons of the Fund will be  committed  to the  discretion  of Board
members who are not themselves interested persons.

         7.  Recordkeeping.  The Fund will  preserve  copies of this  Plan,  the
Distribution Agreement, and all reports made pursuant to Paragraph 2 above for a
period  of not  less  than  six (6)  years  from  the  date of  this  Plan,  the
Distribution  Agreement,  or any such report,  as the case may be, the first two
(2) years in an easily accessible place.

         8. Limitation of Liability.  Any obligation of the Fund hereunder shall
be  binding  only upon the  assets of the Class and shall not be  binding on any
Board member, officer,  employee, agent, or shareholder of the Fund. Neither the
authorization of any action by the Board members or shareholders of the Fund nor
the adoption of the Plan on behalf of the Fund shall impose any  liability  upon
any Board member or upon any shareholder.

         9. Definitions.  The terms "interested  person" and "vote of a majority
of the outstanding  voting  securities" shall have the meanings set forth in the
Act and the rules and regulations thereunder.

         10. Severability;  Separate Action. If any provision of this Plan shall
be held or made invalid by a court decision, rule or otherwise, the remainder of
this Plan shall not be affected  thereby.  Action shall be taken  separately for
the Series or Class as the Act or the rules thereunder so require.


(Amended and restated August 1, 1998)


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 011
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                            3,656
<SHARES-COMMON-PRIOR>                            1,994
<ACCUMULATED-NII-CURRENT>                            1
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (116)
<DISTRIBUTIONS-OF-GAINS>                       (1,368)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,172
<NUMBER-OF-SHARES-REDEEMED>                      (630)
<SHARES-REINVESTED>                                120
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.89
<PER-SHARE-NII>                                    .04
<PER-SHARE-GAIN-APPREC>                           1.07
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.48
<EXPENSE-RATIO>                                   2.00
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                            3,784
<SHARES-COMMON-PRIOR>                            2,515
<ACCUMULATED-NII-CURRENT>                            1
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                       (1,362)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,757
<NUMBER-OF-SHARES-REDEEMED>                      (598)
<SHARES-REINVESTED>                                110
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.79
<PER-SHARE-NII>                                  (.03)
<PER-SHARE-GAIN-APPREC>                           1.00
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.28
<EXPENSE-RATIO>                                   2.79
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                              700
<SHARES-COMMON-PRIOR>                              308
<ACCUMULATED-NII-CURRENT>                            1
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                         (181)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            460
<NUMBER-OF-SHARES-REDEEMED>                       (82)
<SHARES-REINVESTED>                                 14
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.80
<PER-SHARE-NII>                                  (.05)
<PER-SHARE-GAIN-APPREC>                           1.02
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.29
<EXPENSE-RATIO>                                   3.03
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 014
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           94,000
<INVESTMENTS-AT-VALUE>                         109,261
<RECEIVABLES>                                    1,213
<ASSETS-OTHER>                                     119
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 110,593
<PAYABLE-FOR-SECURITIES>                            47
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          470
<TOTAL-LIABILITIES>                                517
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        95,215
<SHARES-COMMON-STOCK>                               91
<SHARES-COMMON-PRIOR>                               67
<ACCUMULATED-NII-CURRENT>                            1
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (401)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        15,261
<NET-ASSETS>                                   110,076
<DIVIDEND-INCOME>                                  863
<INTEREST-INCOME>                                1,267
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,082)
<NET-INVESTMENT-INCOME>                             48
<REALIZED-GAINS-CURRENT>                           679
<APPREC-INCREASE-CURRENT>                        6,055
<NET-CHANGE-FROM-OPS>                            6,782
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (8)
<DISTRIBUTIONS-OF-GAINS>                          (33)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            111
<NUMBER-OF-SHARES-REDEEMED>                       (90)
<SHARES-REINVESTED>                                 3
<NET-CHANGE-IN-ASSETS>                          47,403
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,082
<AVERAGE-NET-ASSETS>                            84,650
<PER-SHARE-NAV-BEGIN>                            12.96
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                           1.09
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.62
<EXPENSE-RATIO>                                    .85
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                            4,653
<SHARES-COMMON-PRIOR>                            2,288
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (753)
<DISTRIBUTIONS-OF-GAINS>                       (1,098)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,925
<NUMBER-OF-SHARES-REDEEMED>                      (717)
<SHARES-REINVESTED>                                157
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            12.01
<PER-SHARE-NII>                                    .24
<PER-SHARE-GAIN-APPREC>                            .87
<PER-SHARE-DIVIDEND>                             (.22)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.49
<EXPENSE-RATIO>                                   1.48
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                            3,408
<SHARES-COMMON-PRIOR>                            2,466
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (355)
<DISTRIBUTIONS-OF-GAINS>                       (1,115)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,763
<NUMBER-OF-SHARES-REDEEMED>                      (945)
<SHARES-REINVESTED>                                124
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            12.00
<PER-SHARE-NII>                                    .15
<PER-SHARE-GAIN-APPREC>                            .86
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.48
<EXPENSE-RATIO>                                   2.36
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 023
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            35
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                              860
<SHARES-COMMON-PRIOR>                              494
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (100)
<DISTRIBUTIONS-OF-GAINS>                         (250)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            505
<NUMBER-OF-SHARES-REDEEMED>                      (168)
<SHARES-REINVESTED>                                 29
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            11.98
<PER-SHARE-NII>                                    .14
<PER-SHARE-GAIN-APPREC>                            .87
<PER-SHARE-DIVIDEND>                             (.14)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.44
<EXPENSE-RATIO>                                   2.39
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 024
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           97,593
<INVESTMENTS-AT-VALUE>                         110,188
<RECEIVABLES>                                    1,374
<ASSETS-OTHER>                                     489
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 112,051
<PAYABLE-FOR-SECURITIES>                            33
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          329
<TOTAL-LIABILITIES>                                364
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        98,201
<SHARES-COMMON-STOCK>                               29
<SHARES-COMMON-PRIOR>                               33
<ACCUMULATED-NII-CURRENT>                          132
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            759
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        12,595
<NET-ASSETS>                                   111,687
<DIVIDEND-INCOME>                                  660
<INTEREST-INCOME>                                2,539
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,646)
<NET-INVESTMENT-INCOME>                          1,553
<REALIZED-GAINS-CURRENT>                         1,335
<APPREC-INCREASE-CURRENT>                        5,063
<NET-CHANGE-FROM-OPS>                            7,951
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (9)
<DISTRIBUTIONS-OF-GAINS>                          (14)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             33
<NUMBER-OF-SHARES-REDEEMED>                       (39)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          48,287
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              495
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,646
<AVERAGE-NET-ASSETS>                            84,981
<PER-SHARE-NAV-BEGIN>                            11.97
<PER-SHARE-NII>                                    .35
<PER-SHARE-GAIN-APPREC>                            .84
<PER-SHARE-DIVIDEND>                             (.29)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.46
<EXPENSE-RATIO>                                    .99
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 031
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                            2,349
<SHARES-COMMON-PRIOR>                            1,070
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (527)
<DISTRIBUTIONS-OF-GAINS>                         (358)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,059
<NUMBER-OF-SHARES-REDEEMED>                      (858)
<SHARES-REINVESTED>                                 78
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .35
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.35)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.26
<EXPENSE-RATIO>                                   1.64
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 032
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                            2,099
<SHARES-COMMON-PRIOR>                            1,413
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (484)
<DISTRIBUTIONS-OF-GAINS>                         (464)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,414
<NUMBER-OF-SHARES-REDEEMED>                      (812)
<SHARES-REINVESTED>                                 84
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .30
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.28)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.28
<EXPENSE-RATIO>                                   2.17
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 033
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                              444
<SHARES-COMMON-PRIOR>                              281
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (107)
<DISTRIBUTIONS-OF-GAINS>                          (95)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            242
<NUMBER-OF-SHARES-REDEEMED>                       (97)
<SHARES-REINVESTED>                                 18
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.07
<PER-SHARE-NII>                                    .28
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.28)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.27
<EXPENSE-RATIO>                                   2.18
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<SERIES>
   <NUMBER> 034
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JUL-31-1998
<INVESTMENTS-AT-COST>                           50,439
<INVESTMENTS-AT-VALUE>                          54,213
<RECEIVABLES>                                      842
<ASSETS-OTHER>                                     427
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  55,482
<PAYABLE-FOR-SECURITIES>                            16
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          131
<TOTAL-LIABILITIES>                                147
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        51,096
<SHARES-COMMON-STOCK>                               19
<SHARES-COMMON-PRIOR>                               12
<ACCUMULATED-NII-CURRENT>                          237
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            228
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         3,774
<NET-ASSETS>                                    55,335
<DIVIDEND-INCOME>                                  221
<INTEREST-INCOME>                                1,836
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (812)
<NET-INVESTMENT-INCOME>                          1,245
<REALIZED-GAINS-CURRENT>                           528
<APPREC-INCREASE-CURRENT>                        1,289
<NET-CHANGE-FROM-OPS>                            3,062
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (6)
<DISTRIBUTIONS-OF-GAINS>                           (3)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              7
<NUMBER-OF-SHARES-REDEEMED>                        (1)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          24,635
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              242
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    812
<AVERAGE-NET-ASSETS>                            41,640
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .41
<PER-SHARE-GAIN-APPREC>                            .47
<PER-SHARE-DIVIDEND>                             (.39)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.28
<EXPENSE-RATIO>                                   1.03
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0


        

</TABLE>


© 2022 IncJournal is not affiliated with or endorsed by the U.S. Securities and Exchange Commission