KEMPER HORIZON FUND
485BPOS, 1996-08-29
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<PAGE>   1
 
   
    AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON AUGUST 29, 1996.
    
 
                                              1933 ACT REGISTRATION NO. 33-63467
                                              1940 ACT REGISTRATION NO. 811-7365
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                               ------------------
 
                                   FORM N-1A
 
   
<TABLE>
        <S>                                                     <C>
        REGISTRATION STATEMENT UNDER THE
           SECURITIES ACT OF 1933                                 / /
        Pre-Effective Amendment No.  _                            / /
        Post-Effective Amendment No. 1                            /X/
                                   and/or
        REGISTRATION STATEMENT UNDER THE
           INVESTMENT COMPANY ACT OF 1940                         / /
        Amendment No. 3                                           /X/
</TABLE>
    
 
                        (Check appropriate box or boxes)
                               ------------------
 
                              KEMPER HORIZON FUND
               (Exact name of Registrant as Specified in Charter)
 
<TABLE>
          <S>                                              <C>
           120 South LaSalle Street, Chicago, Illinois                   60603
             (Address of Principal Executive Office)                  (Zip Code)
</TABLE>
 
       Registrant's Telephone Number, including Area Code: (312) 781-1121
 
   
<TABLE>
<S>                                           <C>
              Philip J. Collora,                             With a copy to:
         Vice President and Secretary
             Kemper Horizon Fund                            Charles F. Custer
           120 South LaSalle Street                 Vedder, Price, Kaufman & Kammholz
           Chicago, Illinois 60603                       222 North LaSalle Street
   (Name and Address of Agent for Service)               Chicago, Illinois 60601
</TABLE>
    
 
   
The Registrant has registered an indefinite number of shares of the Fund under
the Securities Act of 1933 pursuant to Rule 24f-2 under the Investment Company
Act of 1940. The Rule 24f-2 Notice for Registrant's fiscal year ended July 31,
1996 will be filed on or about August 27, 1996.
    
 
   
It is proposed that this filing will become effective (check appropriate box)
    
   
        / / immediately upon filing pursuant to paragraph (b)
    
   
        /X/ on September 10, 1996 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 box:
    
   
          / / this post-effective amendment designates a new effective date for
              a previously filed post-effective amendment.
    
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>   2
 
                              KEMPER HORIZON FUND
 
                             CROSS-REFERENCE SHEET
                       BETWEEN ITEMS ENUMERATED IN PART A
                          OF FORM N-1A AND PROSPECTUS
 
   
<TABLE>
<CAPTION>
                     ITEM NUMBER
                    OF FORM N-1A
      -----------------------------------------
<S>   <C>                                         <C>
1.    Cover Page...............................   Cover Page
2.    Synopsis.................................   Summary; Summary of Expenses; Supplement to
                                                  Prospectus
3.    Condensed Financial Information..........   Financial Highlights
4.    General Description of Registrant........   Summary; Investment Objectives, Policies and
                                                  Risk Factors; Capital Structure
5.    Management of the Fund...................   Summary; Investment Manager and Underwriter
5A.   Management's Discussion of Financial
      Performance..............................   Performance
6.    Capital Stock and Other Securities.......   Summary; Dividends and Taxes; Purchase of
                                                  Shares; Capital Structure
7.    Purchase of Securities Being Offered.....   Summary; 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
</TABLE>
    
<PAGE>   3
 
                              KEMPER HORIZON FUND
                            SUPPLEMENT TO PROSPECTUS
   
                            DATED SEPTEMBER 10, 1996
    
                                 CLASS I SHARES
                                   PORTFOLIOS
                          KEMPER HORIZON 20+ PORTFOLIO
                          KEMPER HORIZON 10+ PORTFOLIO
                           KEMPER HORIZON 5 PORTFOLIO
 
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
investors: (a) tax-exempt retirement plans of Zurich Kemper Investments, Inc.
("ZKI") and its affiliates; and (b) the following investment advisory clients of
ZKI and its investment advisory affiliates that invest at least $1 million in a
Portfolio: (1) unaffiliated benefit plans, such as qualified retirement plans
(other than individual retirement accounts and self-directed retirement plans);
(2) unaffiliated banks and insurance companies purchasing for their own
accounts; and (3) endowment funds of unaffiliated non-profit organizations.
Class I shares currently are available for purchase only from Kemper
Distributors, Inc., principal underwriter for the Portfolios. 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
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 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)
 
<TABLE>
<CAPTION>
                                                                                            CLASS I
                                                                                            -------
<S>                                                                                         <C>
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
</TABLE>
<PAGE>   4
 
ANNUAL FUND OPERATING EXPENSES
 
   
<TABLE>
<CAPTION>
                                                                   HORIZON 20+    HORIZON 10+    HORIZON 5
                                                                    PORTFOLIO      PORTFOLIO     PORTFOLIO
                                                                   -----------    -----------    ---------
<S>                                                                <C>            <C>            <C>
Management Fees.................................................        .58%           .58%          .58%
12b-1 Fees......................................................       None           None          None
Other Expenses..................................................        .19%           .19%          .19%
                                                                       ----           ----          ----
Total Operating Expenses........................................        .77%           .77%          .77%
                                                                       ====           ====          ====
</TABLE>
    
 
   
<TABLE>
<CAPTION>
                              EXAMPLE                                   PORTFOLIO     1 YEAR    3 YEARS
- --------------------------------------------------------------------   -----------    ------    -------
<S>                                                                    <C>            <C>       <C>
You would pay the following expenses on a $1,000 investment,           Horizon 20+      $8        $25
assuming (1) 5% annual return and (2) redemption at the end of each    Horizon 10+      $8        $25
time period                                                             Horizon 5       $8        $25
</TABLE>
    
 
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 Kemper Horizon Fund commenced operations on December 29, 1995; thus, the
"Other Expenses" shown above are estimates. The table reflects the full
management fee as the temporary expense limitation provided by ZKI has been
terminated.
    
 
   
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
    
 
   
<TABLE>
<CAPTION>
                                                                                        APRIL 8, 1996
                                                                                             TO
                                                                                        JULY 31, 1996
                                                                                           CLASS I
                                                                                        -------------
<S>                                                                                     <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period.................................................      $ 10.03
Income from investment operations:
  Net investment income..............................................................          .07
  Net realized and unrealized loss...................................................         (.37)
Total from investment operations.....................................................         (.30)
Net asset value, end of period.......................................................      $  9.73
Total return (not annualized)........................................................        (2.99)%
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio...................................................          .73%
Net investment income................................................................         2.32
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses.............................................................................          .79%
Net investment income................................................................         2.26
</TABLE>
    
<PAGE>   5
 
   
                          KEMPER HORIZON 10+ PORTFOLIO
    
 
   
<TABLE>
<CAPTION>
                                                                                        APRIL 8, 1996
                                                                                             TO
                                                                                        JULY 31, 1996
                                                                                           CLASS I
                                                                                        -------------
<S>                                                                                     <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period.................................................      $  9.83
Income from investment operations:
  Net investment income..............................................................          .09
  Net realized and unrealized loss...................................................         (.26)
Total from investment operations.....................................................         (.17)
Less distribution from net investment income.........................................          .09
Net asset value, end of period.......................................................      $  9.57
Total return (not annualized)........................................................        (1.74)%
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio...................................................         .73%
Net investment income................................................................         3.12
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses.............................................................................         .77%
Net investment income................................................................         3.08
</TABLE>
    
 
   
                           KEMPER HORIZON 5 PORTFOLIO
    
 
   
<TABLE>
<CAPTION>
                                                                                        APRIL 8, 1996
                                                                                             TO
                                                                                        JULY 31, 1996
                                                                                           CLASS I
                                                                                        -------------
<S>                                                                                     <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period.................................................      $  9.69
Income from investment operations:
  Net investment income..............................................................          .08
  Net realized and unrealized loss...................................................         (.11)
Total from investment operations.....................................................         (.03)
Less distribution from net investment income.........................................          .08
Net asset value, end of period.......................................................         9.58
Total return (not annualized)........................................................         (.31)%
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio...................................................         .73%
Net investment income................................................................         4.11
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses.............................................................................         .78%
Net investment income................................................................         4.06
</TABLE>
    
 
- ---------------
   
NOTES TO ALL PORTFOLIOS: Per share data was determined based on average shares
outstanding. The investment manager agreed to temporarily reduce its management
fee and absorb certain operating expenses of the Portfolios. Other ratios to
average net assets are computed without this fee reduction and expense
absorption.
    
<PAGE>   6
 
SPECIAL FEATURES
 
Shareholders of a Portfolio's Class I shares may exchange their shares for (i)
shares of Kemper Money Funds--Kemper Money Market Fund if the shareholders of
Class I shares have purchased shares because they are participants in tax-exempt
retirement plans of ZKI 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 Kemper Money
Funds--Kemper Money Market Fund who have purchased shares because they are
participants in tax-exempt retirement plans of ZKI 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."
 
September 10, 1996
KHF-2I (9/96)
<PAGE>   7
 
   
<TABLE>
<CAPTION>
             TABLE OF CONTENTS
- --------------------------------------------
<S>                                          <C>
Summary                                         1
- -------------------------------------------------
Summary of Expenses                             3
- -------------------------------------------------
Financial Highlights                            5
- -------------------------------------------------
Investment Objectives, Policies and Risk        6
  Factors
- -------------------------------------------------
Investment Manager and Underwriter             18
- -------------------------------------------------
Dividends and Taxes                            21
- -------------------------------------------------
Net Asset Value                                22
- -------------------------------------------------
Purchase of Shares                             23
- -------------------------------------------------
Redemption or Repurchase of Shares             28
- -------------------------------------------------
Special Features                               33
- -------------------------------------------------
Performance                                    36
- -------------------------------------------------
Capital Structure                              37
- -------------------------------------------------
</TABLE>
    
 
   
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 September 10, 1996, has been filed with the Securities and
Exchange Commission and is incorporated herein by reference. It is available
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.
    
 
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 OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.
 
   
                                                             [KEMPER FUNDS LOGO]
    
 
KEMPER
HORIZON
FUND
 
   
PROSPECTUS SEPTEMBER 10, 1996
    
 
KEMPER HORIZON FUND
 
120 South LaSalle Street, Chicago, Illinois 60603 1-800-621-1048
 
   
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.
    
<PAGE>   8
 
KEMPER HORIZON FUND
 
120 SOUTH LASALLE STREET, CHICAGO, ILLINOIS 60603, TELEPHONE 1-800-621-1048
 
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 interest than higher rated 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."
 
                                        1
<PAGE>   9
 
PURCHASES AND REDEMPTIONS. The Fund provides investors with the option of
purchasing shares in the following ways:
 
   
<TABLE>
<S>                                 <C>
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 .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.
</TABLE>
    
 
   
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, in the case of Class A shares
purchased under the Large Order NAV Purchase Privilege, Class B shares and for
Class C shares redeemed within one year of purchase, to any applicable
contingent deferred sales charge. See "Purchase of Shares" and "Redemption or
Repurchase of Shares."
    
 
   
INVESTMENT MANAGER AND UNDERWRITER. Zurich Kemper Investments, Inc. ("ZKI")
serves as investment manager for the Fund. ZKI is paid an investment management
fee by each Portfolio based upon average daily net assets of that Portfolio at
an annual rate ranging from .58% to .42%. Dreman Value Advisors, Inc. ("DVA"), a
wholly-owned subsidiary of ZKI, is the sub-adviser for the Fund. ZKI pays DVA a
fee at the annual rate of .25% of the portion of the average daily net assets of
each Portfolio allocated by ZKI to DVA for management. Kemper Distributors, Inc.
("KDI"), a wholly owned subsidiary of ZKI, is principal underwriter and
administrator for the Fund. For Class B shares and Class C shares, KDI receives
a Rule 12b-1 distribution fee at the annual rate of .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 KDI for which KDI
receives an administrative services fee at the annual rate of up to .25% of
average daily net assets of Class A, B and C shares of each Portfolio, which
KDI, in turn, pays to financial services 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."
 
                                        2
<PAGE>   10
 
SUMMARY OF EXPENSES
 
   
<TABLE>
<CAPTION>
           SHAREHOLDER TRANSACTION EXPENSES
          (APPLICABLE TO ALL PORTFOLIOS)(1)             CLASS A           CLASS B            CLASS C
                                                        -------      ------------------   -------------
<S>                                                     <C>          <C>                  <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      None(3)    4% during the        1% during the
  proceeds)...........................................               first year, 3%       first year
                                                                     during the second
                                                                     and third years,
                                                                     2% during the
                                                                     fourth and fifth
                                                                     years and 1% in
                                                                     the sixth year
</TABLE>
    
 
- ---------------
(1) Investment dealers and other firms may independently charge additional fees
    for shareholder transactions or for advisory services; please see their
    materials for details.
 
(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 .50% the second year. See "Purchase of
    Shares--Initial Sales Charge Alternative--Class A Shares."
    
 
ANNUAL FUND OPERATING EXPENSES
(as a percentage of average net assets)
 
<TABLE>
<CAPTION>
                         CLASS A SHARES                            HORIZON 20+    HORIZON 10+    HORIZON 5
- ----------------------------------------------------------------   -----------    -----------    ---------
<S>                                                                <C>            <C>            <C>
Management Fees.................................................       .58%           .58%          .58%
12b-1 Fees......................................................       None           None          None
Other Expenses..................................................       .90%           .90%          .90%
                                                                   -------        -------        ------   
Total Operating Expenses........................................      1.48%          1.48%         1.48%
                                                                   =======        =======        ======  
</TABLE>
 
<TABLE>
<CAPTION>
                         CLASS B SHARES                            HORIZON 20+    HORIZON 10+    HORIZON 5
- ----------------------------------------------------------------   -----------    -----------    ---------
<S>                                                                <C>            <C>            <C>
Management Fees.................................................       .58%           .58%          .58%
12b-1 Fees(4)...................................................       .75%           .75%          .75%
Other Expenses..................................................       .93%           .93%          .93%
                                                                   -------        -------        ------   
Total Operating Expenses........................................      2.26%          2.26%         2.26%
                                                                   =======        =======        ======  
</TABLE>
 
<TABLE>
<CAPTION>
                         CLASS C SHARES                            HORIZON 20+    HORIZON 10+    HORIZON 5
- ----------------------------------------------------------------   -----------    -----------    ---------
<S>                                                                <C>            <C>            <C>
Management Fees.................................................       .58%           .58%          .58%
12b-1 Fees(5)...................................................       .75%           .75%          .75%
Other Expenses..................................................       .90%           .90%          .90%
                                                                   -------        -------        ------   
Total Operating Expenses........................................      2.23%          2.23%         2.23%
                                                                   =======        =======        ======  
</TABLE>
 
- ---------------
(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.
 
                                        3
<PAGE>   11
 
EXAMPLE
 
   
<TABLE>
<CAPTION>
CLASS A SHARES                                                         PORTFOLIO     1 YEAR   3 YEARS
                                                                       ---------     ------   -------
<S>                                                                    <C>           <C>      <C>
You would pay the following expenses on a $1,000 investment, assuming  Horizon 20+    $72      $102
(1) 5% annual return and (2) redemption at the end of each time        Horizon 10+    $72      $102
period:                                                                Horizon 5      $72      $102

CLASS B SHARES(6)
You would pay the following expenses on a $1,000 investment, assuming  Horizon 20+    $53      $ 91
(1) 5% annual return and (2) redemption at the end of each time        Horizon 10+    $53      $ 91
period:                                                                Horizon 5      $53      $ 91
You would pay the following expenses on the same investment, assuming  Horizon 20+    $23      $ 71
no redemption:                                                         Horizon 10+    $23      $ 71
                                                                       Horizon 5      $23      $ 71

CLASS C SHARES(7)
You would pay the following expenses on a $1,000 investment, assuming  Horizon 20+    $23      $ 70
(1) 5% annual return and (2) redemption at the end of each time        Horizon 10+    $23      $ 70
period:                                                                Horizon 5      $23      $ 70
</TABLE>
    
 
- ---------------
(6) Calculated based upon the assumption that the shareholder was an owner of
    the shares on the first day of the first year and the contingent deferred
    sales charge was applied as follows: 1 year (3%) and 3 years (2%). 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.
 
   
(7) Assumes that the shareholder was the owner on the first day of the first
    year and the contingent deferred sales charge was not applicable for any of
    the periods shown. 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 Fund commenced operations on December 29, 1995, thus the "Other Expenses"
shown above are estimates for the current fiscal year. The table reflects the
full management fee as the temporary expense limitation provided by ZKI has been
terminated.
    
 
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.
 
                                        4
<PAGE>   12
 
   
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 1996 Annual Report to Shareholders are
incorporated herein by reference and may be obtained by writing or calling the
Fund.
    
 
   
ALL FINANCIAL HIGHLIGHTS ARE PRESENTED FOR THE PERIOD DECEMBER 29, 1995
    
   
(COMMENCEMENT OF OPERATIONS) TO JULY 31, 1996
    
 
   
<TABLE>
<CAPTION>
KEMPER HORIZON 20+ PORTFOLIO                                               CLASS A    CLASS B    CLASS C
- ------------------------------------------------------------------------   -------    -------    -------
<S>                                                                        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period....................................   $  9.50      9.50        9.50
Income from investment operations:
  Net investment income.................................................       .18       .11         .13
  Net realized and unrealized gain......................................       .04       .04         .04
Total from investment operations........................................       .22       .15         .17
Net asset value, end of period..........................................   $  9.72      9.65        9.67
TOTAL RETURN (NOT ANNUALIZED)                                                 2.32%     1.58        1.79
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio......................................      1.48%     2.26        2.23
Net investment income...................................................      1.51       .73         .76
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses................................................................      1.54%     2.32        2.29
Net investment income...................................................      1.45       .67         .70
SUPPLEMENTAL DATA FOR ALL CLASSES
Net assets at end of period (in thousands)..............................   $18,251
Portfolio turnover rate (annualized)....................................       122%
Average commission rate paid per share on stock transactions............   $ .0417
</TABLE>
    
 
   
<TABLE>
<CAPTION>
KEMPER HORIZON 10+ PORTFOLIO                                               CLASS A    CLASS B    CLASS C
- ------------------------------------------------------------------------   -------    -------    -------
<S>                                                                        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period....................................   $  9.50      9.50        9.50
Income from investment operations:
  Net investment income.................................................       .20       .17         .17
  Net realized and unrealized loss......................................      (.04)     (.04)       (.04)
Total from investment operations........................................       .16       .13         .13
Less distribution from net investment income............................       .06       .03         .03
Net asset value, end of period..........................................   $  9.60      9.60        9.60
TOTAL RETURN (NOT ANNUALIZED)                                                 1.70%     1.38        1.39
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio......................................      1.48%     2.26        2.23
Net investment income...................................................      2.40      1.62        1.65
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses................................................................      1.52%     2.30        2.27
Net investment income...................................................      2.36      1.58        1.61
SUPPLEMENTAL DATA FOR ALL CLASSES
Net assets at end of period (in thousands)..............................   $18,912
Portfolio turnover rate (annualized)....................................        87%
Average commission rate paid per share on stock transactions............   $ .0413
</TABLE>
    
 
                                        5
<PAGE>   13
 
   
<TABLE>
<CAPTION>
KEMPER HORIZON 5 PORTFOLIO                                                 CLASS A    CLASS B    CLASS C
- ------------------------------------------------------------------------   -------    -------    -------
<S>                                                                        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period....................................   $  9.50      9.50        9.50
Income from investment operations:
  Net investment income.................................................       .25       .21         .21
  Net realized and unrealized loss......................................      (.07)     (.07)       (.07)
Total from investment operations........................................       .18       .14         .14
Less distribution from net investment income............................       .11       .07         .07
Net asset value, end of period..........................................   $  9.57      9.57        9.57
TOTAL RETURN (NOT ANNUALIZED)...........................................      1.84%     1.44        1.45
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses absorbed by the Portfolio......................................      1.48%     2.26        2.23
Net investment income...................................................      3.20      2.42        2.45
OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses................................................................      1.53%     2.31        2.28
Net investment income...................................................      3.15      2.37        2.40
SUPPLEMENTAL DATA FOR ALL CLASSES
Net assets at end of period (in thousands)..............................   $10,831
Portfolio turnover rate (annualized)....................................        57%
Average commission rate paid per share on stock transactions............   $ .0460
</TABLE>
    
 
- ---------------
   
NOTES TO ALL PORTFOLIOS: Total return does not reflect the effect of any sales
charges. Per share data was determined based on average shares outstanding. The
investment manager agreed to temporarily reduce its management fee and absorb
certain operating expenses of the Portfolios. Other ratios to average net assets
are computed without this fee reduction and expense absorption.
    
 
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.
 
- - The Horizon 20+ Portfolio is designed for investors with approximately a 20+
  year investment horizon.
 
- - The Horizon 10+ Portfolio is designed for investors with approximately a 10+
  year investment horizon.
 
- - 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.
 
                                        6
<PAGE>   14
 
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.
 
<TABLE>
<CAPTION>
                                                          HORIZON 20+          HORIZON 10+           HORIZON 5
                                                       TARGET ALLOCATION    TARGET ALLOCATION    TARGET ALLOCATION
                                                       -----------------    -----------------    -----------------
<S>                                                    <C>                  <C>                  <C>
Equities............................................          80%                  60%                  40%
Fixed Income........................................          20%                  40%                  60%
</TABLE>
 
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
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
 
                                        7
<PAGE>   15
 
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 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.
 
   
ZKI manages the growth portion of the Fund. In managing the growth portion of
the portfolio, ZKI emphasizes stock selection and fundamental research in
seeking to enhance long-term performance potential. ZKI 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. DVA manages the
value portion of the Fund. DVA seeks stocks it believes to be undervalued. The
principal factor considered is P/E ratios. In selecting among stocks with low
P/E ratios, DVA 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.
 
                                        8
<PAGE>   16
 
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 or non-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 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 a complete investment program, and there is no assurance that any Portfolio
will achieve its objective.
 
                                        9
<PAGE>   17
 
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
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
 
                                       10
<PAGE>   18
 
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 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 approval
for the repatriation of investment income, capital or the proceeds of sales of
securities by foreign investors. In addition, if a
 
                                       11
<PAGE>   19
 
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.
 
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. 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. 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
 
                                       12
<PAGE>   20
 
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.
 
   
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. In order to continue to qualify as a regulated
investment company for federal income tax purposes, less than 30% of the annual
gross income of a Portfolio must be derived from the sale or other disposition
of securities and certain other investments held by a Portfolio for less than
three months. 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
 
                                       13
<PAGE>   21
 
Portfolio. Each Portfolio's investment policies that are not incorporated into
any of the fundamental investment restrictions referred 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.
 
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
 
                                       14
<PAGE>   22
 
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.
 
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
 
                                       15
<PAGE>   23
 
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 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 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
 
                                       16
<PAGE>   24
 
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 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
 
                                       17
<PAGE>   25
 
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
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. Zurich Kemper Investments, Inc. ("ZKI"), 120 South LaSalle
Street, Chicago, Illinois 60603, is the investment manager of the Fund and
provides each Portfolio with continuous professional investment supervision.
Dreman Value Advisors, Inc. ("DVA") is the sub-adviser for the Fund. ZKI is one
of the largest investment managers in the country and has been engaged in the
management of investment funds for more than forty-eight years. ZKI and its
affiliates provide investment advice and manage investment portfolios for the
Kemper Funds, affiliated insurance companies and other corporate, pension,
profit-sharing and individual accounts representing approximately $78 billion
under management. ZKI acts as investment manager for 29 open-end and seven
closed-end investment companies, with 76 separate investment portfolios,
representing more than 3 million shareholder accounts. ZKI is an indirect
subsidiary of Zurich Insurance Company, an internationally recognized company
providing services in life and non-life insurance, reinsurance and asset
management.
    
 
   
Responsibility for overall management of the Fund rests with its Board of
Trustees and officers. Professional investment supervision is provided by ZKI.
The investment management agreement provides that ZKI shall act as the Fund's
investment adviser, manage its investments and provide it with various services
and facilities. ZKI will use the services of Zurich Investment Management
Company Limited ("ZIML"), 1 Fleet Place, London, U.K. EC4M 7RQ, a wholly-owned
subsidiary of ZKI, with respect to foreign securities investments of the Fund
including analysis, research, execution and trading services.
    
 
   
Thomas M. Regner has been the portfolio manager of the Fund since its inception
in 1995. Mr. Regner is a vice president of the Fund and is senior vice president
and equity strategist of ZKI. He is responsible for managing the asset mix of
each Portfolio. He is assisted in managing the various asset classes by
investment personnel who specialize in certain areas. For the value portion of
the U.S. equities portion of each Portfolio, asset management is performed by
DVA as sub-adviser. Mr. Regner joined ZKI in December, 1994. Immediately prior
to joining ZKI he was a financial adviser for a major investment manager and
research company prior thereto, he was the chief investment officer and senior
portfolio manager for a professional association. Mr. Regner received his B.A.
and M.S. from the University of Wisconsin, Madison, Wisconsin. He is a Chartered
Financial Analyst.
    
 
   
ZKI is paid an investment management fee, monthly, by each Portfolio, at the
annual rates shown below.
    
 
<TABLE>
<CAPTION>
                                                                               MANAGEMENT FEE
                      AVERAGE DAILY NET ASSETS OF A PORTFOLIO                      RATES
        --------------------------------------------------------------------   --------------
        <S>                                                                    <C>
        $0 - $250 million...................................................         .58%
        $250 million - $1 billion...........................................         .55
        $1 billion - $2.5 billion...........................................         .53
        $2.5 billion - $5 billion...........................................         .51
        $5 billion - $7.5 billion...........................................         .48
        $7.5 billion - $10 billion..........................................         .46
        $10 billion - $12.5 billion.........................................         .44
        Over $12.5 billion..................................................         .42
</TABLE>
 
                                       18
<PAGE>   26
 
   
DVA. As mentioned above, DVA is the sub-adviser for the Fund. Under the terms of
the Sub-Advisory Agreement, DVA will manage the value portion of each Portfolio
and will provide such other investment advice, research and assistance as ZKI
may, from time to time, reasonably request. DVA, which was formed in October,
1994, has served as investment manager for mutual funds and certain
institutional accounts since August, 1995 when it acquired substantially all the
assets of Dreman Value Management, L.P. DVA is a wholly-owned subsidiary of ZKI
and is located at 10 Exchange Place, Suite 2050, Jersey City, New Jersey 07302.
ZKI pays DVA for its services a sub-advisory fee, payable monthly at the annual
rate of .25% of the portion of the average daily net assets of each Portfolio
allocated by ZKI to DVA for management.
    
 
   
PRINCIPAL UNDERWRITER. Pursuant to an underwriting and distribution services
agreement ("distribution agreement") with the Fund, Kemper Distributors, Inc.
("KDI"), 120 South LaSalle Street, Chicago, Illinois, 60603, a wholly-owned
subsidiary of ZKI, 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, payable monthly, at the annual rate of .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, payable monthly, at the annual rate of .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. Effective for Class C
shares purchased on or after April 1, 1996, KDI currently advances to firms the
first year distribution fee at a rate of .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 .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. Since the distribution agreement provides for fees payable as
an expense of the Class B shares and the Class C shares that are used by KDI to
pay for distribution services for those classes, that agreement is approved and
reviewed separately for the Class B shares and the Class C shares in accordance
with Rule 12b-1 under the Investment Company Act of 1940, which regulates the
manner in which an investment company may, directly or indirectly, bear the
expenses of distributing its shares. The table below shows amounts paid in
    
 
                                       19
<PAGE>   27
 
   
connection with the Fund's Rule 12b-1 Plan for each Portfolio for the period
December 29, 1995 (commencement of operations) to July 31, 1996.
    
 
   
<TABLE>
<CAPTION>
                                                      DISTRIBUTION                                  CONTINGENT
                                                        EXPENSES          DISTRIBUTION FEES       DEFERRED SALES
                                                       INCURRED BY           PAID BY FUND          CHARGE PAID
                                                       UNDERWRITER          TO UNDERWRITER        TO UNDERWRITER
                                                   -------------------    ------------------    ------------------
PORTFOLIO                                          CLASS B     CLASS C    CLASS B    CLASS C    CLASS B    CLASS C
- ------------------------------------------------   --------    -------    -------    -------    -------    -------
<S>                                                <C>         <C>        <C>        <C>        <C>        <C>
Horizon 20+.....................................   $409,000     21,000     16,000     2,000      3,000        0
Horizon 10+.....................................   $395,000     21,000     17,000     2,000      1,000        0
Horizon 5.......................................   $289,000     17,000     11,000     1,000      6,000        0
</TABLE>
    
 
   
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 financial services firms, such as broker-dealer firms or banks
("firms"), that provide services and facilities for their customers or clients
who are shareholders 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 to .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 .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 paid quarterly.
    
 
   
CLASS B AND CLASS C SHARES. For Class B shares and for Class C shares purchased
on or after April 1, 1996, KDI currently advances to firms the first year
service fee at a rate of up to .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 .25% (calculated monthly and 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 there is a firm listed on the Fund's records 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 there is a firm of record. In addition, KDI
may, from time to time,
    
 
                                       20
<PAGE>   28
 
   
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"), 127 West 10th Street, 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, an affiliate of ZKI, 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.
    
 
   
PORTFOLIO TRANSACTIONS. ZKI, ZIML and DVA place all orders for purchases and
sales of each Portfolio's securities. Subject to seeking best execution of
orders, they may consider sales of shares of the Fund and other funds managed by
ZKI 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 amount 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 and a minimum account value of $1,000 in the Kemper Fund
in which dividends of the Portfolio are reinvested. 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. Each Portfolio intends to continue to qualify as a regulated investment
company under Subchapter M of the Internal Revenue Code (the "Code") and, if so
qualified, a Portfolio will not be liable for federal income
    
 
                                       21
<PAGE>   29
 
taxes to the extent its earnings are distributed. Dividends derived from net
investment income and net short-term capital gains are taxable to shareholders
as ordinary income and long-term 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. Long-term capital gain
dividends received by individual shareholders are taxed at a maximum rate of
28%. 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 the Fund 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.
 
The Fund 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. Trustees of qualified retirement plans and
403(b)(7) accounts are required by law to withhold 20% of the taxable portion of
any distribution that is eligible to be "rolled over." The 20% withholding
requirement does not apply to distributions from Individual Retirement Accounts
(IRAs) or any part of a distribution that is transferred directly to another
qualified retirement plan, 403(b)(7) account, or IRA. Shareholders should
consult with their tax advisers regarding the 20% withholding requirement.
 
   
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.
    
 
NET ASSET VALUE
 
The net asset value per share of a Portfolio is determined separately for each
class by dividing the value of the Portfolio's net assets attributable to that
class by the number of shares of that class outstanding. The per share net asset
value of the Class B and Class C shares of a Portfolio will generally be lower
than that of the Class A shares of the Portfolio because of the higher expenses
borne by Class B and Class C shares. Securities that are primarily traded on a
domestic securities exchange or securities listed on the NASDAQ National Market
are valued at the last sale price on the exchange or market where primarily
traded or listed or, if there is no recent sale price available, at the last
current bid quotation. Securities that are primarily traded on foreign
securities exchanges are generally valued at the preceding closing values of
such securities on their respective exchanges where primarily traded. A security
that is listed or traded on more than one exchange is valued at the quotation on
the exchange determined to be the primary market for such security by the Board
of Trustees or its delegates. Securities not so traded or listed are valued at
the last current bid quotation if market quotations are available. Fixed income
securities are valued by using market quotations, or independent pricing
services that use prices provided by market makers or estimates of market values
obtained from yield data relating to instruments or securities with
 
                                       22
<PAGE>   30
 
   
similar characteristics. Equity options are valued at the last sale price unless
the bid price is higher or the asked price is lower, in which event such bid or
asked priced is used. Exchange traded fixed income options are valued at the
last sale price unless there is no sale price, in which event current prices
provided by market makers are used. Over-the-counter traded options are valued
based upon current prices provided by market makers. Financial futures and
options thereon are valued at the settlement price established each day by the
board of trade or exchange on which they are traded. Other securities and assets
are valued at fair value as determined in good faith by the Board of Trustees.
Because of the need to obtain prices as of the close of trading on various
exchanges throughout the world, the calculation of net asset value of a
Portfolio investing in foreign securities does not necessarily take place
contemporaneously with the determination of the prices of the Portfolio's
foreign securities, which may be made prior to the determination of net asset
value. For purposes of determining a Portfolio's net asset value that invests in
foreign securities, all assets and liabilities initially expressed in foreign
currency values will be converted into U.S. Dollar values at the mean between
the bid and offered quotations of such currencies against U.S. Dollars as last
quoted by a recognized dealer. If an event were to occur, after the value of a
security was so established but before the net asset value per share was
determined, which was likely to materially change the net asset value, then that
security would be valued using fair value considerations determined by the Board
of Trustees or its delegates. On each day the New York Stock Exchange (the
"Exchange") is open for trading, the net asset value is determined as of the
earlier of 3:00 p.m. Chicago time or the close of the Exchange.
    
 
PURCHASE OF SHARES
 
   
ALTERNATIVE PURCHASE ARRANGEMENTS. Class A shares of the Fund 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
Expenses." Each class has distinct advantages and disadvantages for different
investors, and investors may choose the class that best suits their
circumstances and objectives.
 
   
<TABLE>
<CAPTION>
                                               ANNUAL 12B-1 FEES
                                            (AS A % OF AVERAGE DAILY
                   SALES CHARGE                   NET ASSETS)                 OTHER INFORMATION
           ----------------------------   ----------------------------   ----------------------------
<S>        <C>                            <C>                            <C>
Class A    Maximum initial sales charge               None               Initial sales charge waived
           of 5.75% of the public                                        or reduced for certain
           offering price                                                purchases
Class B    Maximum contingent deferred               0.75%               Shares convert to Class A
           sales charge of 4% of                                         shares six years after
           redemption proceeds;                                          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
</TABLE>
    
 
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
 
                                       23
<PAGE>   31
 
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.
    
 
<TABLE>
<CAPTION>
                                                                                SALES CHARGE
                                                         ----------------------------------------------------------
                                                                                                       ALLOWED TO
                                                                                                      DEALERS AS A
                                                          AS A PERCENTAGE       AS A PERCENTAGE      PERCENTAGE OF
                    AMOUNT OF PURCHASE                   OF OFFERING PRICE    OF NET ASSET VALUE*    OFFERING PRICE
                    ------------------                   -----------------    -------------------    --------------
<S>                                                      <C>                  <C>                    <C>
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...................................          0.00**                0.00**               ***
</TABLE>
 
- ---------------
  * 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 to the extent that the amount
invested represents the net proceeds from a redemption of shares of a mutual
fund for which ZKI or an affiliate does not serve as investment manager
("non-Kemper Fund") provided that: (a) the investor has previously paid either
an initial sales charge in connection with the purchase of the non-Kemper Fund
shares redeemed or a contingent deferred sales charge in connection with the
redemption of the non-Kemper Fund shares, and (b) the purchase of Fund shares is
made within 90 days after the date of such redemption. To make such a purchase
at net asset value, the investor or the investor's dealer must, at the time of
purchase, submit a request that the purchase be processed at net asset value
pursuant to this privilege. KDI may in its discretion compensate firms for sales
of Class A shares under this privilege at a commission rate of .50% of the
amount of Class A shares purchased. The redemption of the shares of the
non-Kemper fund is, for federal income tax purposes, a sale upon which a gain or
loss may be realized.
    
 
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
 
                                       24
<PAGE>   32
 
   
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 provided in either 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 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 for shares purchased on or after June 17, 1996: 1.00% of the
net asset value of shares sold on amounts up to $5 million, .50% on the next $45
million and .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 Kemper Service Company.
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.
    
 
Effective on February 1, 1996, Class A shares of the Fund 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 Fund 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 .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 Fund at net asset value under this
privilege is not available if another net asset value purchase privilege also
applies.
 
   
Class A shares of the Fund 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 .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
the Fund, 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 Fund for themselves or their spouses or dependent children; (c) shareholders
who owned shares of Kemper Dreman Fund, Inc. ("KDF") on September 8, 1995, and
have continuously owned shares of KDF (or a Kemper Fund acquired by exchange of
KDF shares) since that date, for themselves or members of
    
 
                                       25
<PAGE>   33
 
   
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 Fund 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 Fund 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 Everen
Securities, Inc. In addition, unitholders of unit investment trusts sponsored by
Everen Securities, 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. Class A shares may be sold at net asset value
through certain investment advisers registered under the Investment Advisers Act
of 1940 and other financial services firms that adhere to certain standards
established by KDI, including a requirement that such shares be sold for the
benefit of their clients participating in a "wrap account" or similar program
under which such clients pay a fee to the investment adviser or other firm. Such
shares are sold for investment purposes and on the condition that they will not
be resold except through redemption or repurchase by the Fund. The Fund 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.
    
 
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 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.
 
                                       26
<PAGE>   34
 
   
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. Effective for Class C shares purchased on or after April 1,
1996, 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 .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 .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. 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.
 
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
    
 
                                       27
<PAGE>   35
 
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 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 Kemper Service Company, 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 Mutual 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.
 
   
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
    
 
                                       28
<PAGE>   36
 
   
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 reserves the
right to redeem an account (and impose any applicable contingent deferred sales
charge) that falls below the minimum investment level, currently $1,000 for a
Portfolio, as a result of redemptions. Currently, Individual Retirement Accounts
and employee benefit plan accounts are not subject to this procedure. A
shareholder will be notified in writing and will be allowed 60 days to make
additional purchases to bring the account value up to the minimum investment
level before the Fund redeems the shareholder's account. The investment required
to reach that level may be made at net asset value (without any initial sales
charge in the case of Class A shares).
    
 
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
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 and guardian account holders
(excluding custodial accounts for gifts and transfers to minors), provided the
trustee, executor or guardian is named in the account registration. Other
institutional account holders and guardian account holders of custodial accounts
for gifts and transfers to minors 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 or guardian 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
 
                                       29
<PAGE>   37
 
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 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
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, for shares
purchased on or after June 17, 1996, .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; (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
 
                                       30
<PAGE>   38
 
or 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.
 
<TABLE>
<CAPTION>
                                                                                 CONTINGENT
                                                                                  DEFERRED
                                                                                   SALES
                           YEAR OF REDEMPTION AFTER PURCHASE                       CHARGE
        -----------------------------------------------------------------------  ----------
        <S>                                                                      <C>
        First..................................................................      4%
        Second.................................................................      3%
        Third..................................................................      3%
        Fourth.................................................................      2%
        Fifth..................................................................      2%
        Sixth..................................................................      1%
</TABLE>
 
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:
 
<TABLE>
<CAPTION>
                                                              CONTINGENT DEFERRED SALES CHARGE
                                  ----------------------------------------------------------------------------------------
                                                                  SHARES PURCHASED ON OR AFTER
    YEAR OF REDEMPTION AFTER      SHARES PURCHASED ON OR AFTER     FEBRUARY 1, 1991 AND BEFORE    SHARES PURCHASED BEFORE
             PURCHASE                     MARCH 1, 1993                   MARCH 1, 1993               FEBRUARY 1, 1991
- --------------------------------  -----------------------------   -----------------------------   ------------------------
<S>                               <C>                             <C>                             <C>
First...........................                4%                              3%                           5%
Second..........................                3%                              3%                           4%
Third...........................                3%                              2%                           3%
Fourth..........................                2%                              2%                           2%
Fifth...........................                2%                              1%                           2%
Sixth...........................                1%                              1%                           1%
</TABLE>
 
   
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 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. For Class C shares purchased
on or after April 1, 1996, 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
    
 
                                       31
<PAGE>   39
 
   
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) and (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.
    
 
   
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 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.
    
 
                                       32
<PAGE>   40
 
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 Fund,
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+Growth Fund, Kemper-Dreman Fund, Inc., Kemper
Horizon Fund, Kemper Quantitative Equity Fund and Kemper Europe Fund ("Kemper
Mutual Funds"). Except as noted below, there is no combined purchase credit for
direct purchases of shares of Kemper Money Funds, Cash Equivalent Fund,
Tax-Exempt California Money Market Fund, Cash Account Trust, Tax-Exempt New York
Money Market 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 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.
 
                                       33
<PAGE>   41
 
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, Tax-Exempt New York
Money Market 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 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 purchased by check or through EXPRESS-Transfer or Bank Direct
Deposit may not be exchanged until they have been owned for at least 10 days. In
addition, shares of a Kemper Mutual Fund (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 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 Kemper Service Company, 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 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 Tax-Exempt New York
Money Market Fund is available for sale only in New York, Connecticut, New
Jersey and Pennsylvania. Except as otherwise permitted by applicable
regulations, 60 days' prior written notice of any termination or material change
will be provided.
    
 
                                       34
<PAGE>   42
 
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," including the $1,000 minimum investment requirement for
the Kemper Fund acquired on exchange. 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 $2,500) 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 of redeeming shares by EXPRESS-Transfer 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 Kemper 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 Kemper Service Company,
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 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 Kemper
Service Company, 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
    
 
                                       35
<PAGE>   43
 
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 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:
    
 
   
- - Individual Retirement Accounts ("IRAs") with IFTC as custodian. This includes
  Simplified Employee Pension Plan ("SEP") IRA accounts and prototype documents.
    
 
   
- - 403(b)(7) Custodial Accounts also with IFTC as custodian. This type of plan is
  available to employees of most non-profit organizations.
    
 
- - 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 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 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
 
                                       36
<PAGE>   44
 
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 Index(TM) 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 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, which are available for purchase
exclusively by the following investors: (a) tax-exempt retirement plans of ZKI
and its affiliates; and (b) the following investment advisory clients of ZKI and
its investment
    
 
                                       37
<PAGE>   45
 
advisory affiliates that invest at least $1 million in a Portfolio: (1)
unaffiliated benefit plans, such as qualified retirement plans (other than
individual retirement accounts and self-directed retirement plans); (2)
unaffiliated banks and insurance companies purchasing for their own accounts;
and (3) endowment funds of unaffiliated non-profit organizations. 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 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.
 
                                       38
<PAGE>   46
                                  PROSPECTUS


                                    KEMPER
                                 HORIZON FUND




                                September 10, 1996

                              -----------------

                                KEMPER HORIZON
                                20+ PORTFOLIO

                                KEMPER HORIZON
                                10+ PORTFOLIO

                                KEMPER HORIZON
                                 5  PORTFOLIO

                               ----------------





                                 KEMPER FUNDS
                             [KEMPER FUNDS LOGO]





Kemper Distributors, Inc.
120 South LaSalle Street
Chicago, IL  60603

[RECYCLE LOGO] printed on recycled paper
KHF-1(9/96)
<PAGE>   47
 
                              KEMPER HORIZON FUND
 
                             CROSS-REFERENCE SHEET
                       BETWEEN ITEMS ENUMERATED IN PART B
              OF FORM N-1A AND STATEMENT OF ADDITIONAL INFORMATION
 
   
<TABLE>
<CAPTION>
                     ITEM NUMBER                            LOCATION IN STATEMENT OF
                    OF FORM N-1A                  ADDITIONAL INFORMATION
                                                  ---------------------------------------------
<S>   <C>                                         <C>
10.   Cover Page...............................   Cover Page
11.   Table of Contents........................   Table of Contents
12.   General Information and History..........   Inapplicable
13.   Investment Objectives and Policies.......   Investment Restrictions; Investment Policies
                                                  and Techniques
14.   Management of the Fund...................   Investment Manager and Underwriter;
                                                  Officers and Trustees
15.   Control Persons and Principal Holders of
      Securities...............................   Officers and Trustees
16.   Investment Advisory and Other Services...   Investment Manager and Underwriter;
                                                  Officers and Trustees
17.   Brokerage Allocation and Other
      Practices................................   Portfolio Transactions
18.   Capital Stock and Other Securities.......   Shareholder Rights
19.   Purchase, Redemption and Pricing of
      Securities Being Offered.................   Purchase and Redemption of Shares
20.   Tax Status...............................   Dividends and Taxes
21.   Underwriters.............................   Investment Manager and Underwriter
22.   Calculation of Performance Data..........   Performance
23.   Financial Statements.....................   Financial Statements
</TABLE>
    
<PAGE>   48
                              KEMPER HORIZON FUND
                      STATEMENT OF ADDITIONAL INFORMATION
   
                               SEPTEMBER 10, 1996
    
 
   
                          KEMPER HORIZON 20+ PORTFOLIO
    
                          KEMPER HORIZON 10+ PORTFOLIO
                           KEMPER HORIZON 5 PORTFOLIO
               120 SOUTH LASALLE STREET, CHICAGO, ILLINOIS 60603
                                 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 September 10, 1996. The
prospectus may be obtained without charge from the Fund.
    
                                ---------------
 
                               TABLE OF CONTENTS
 
   
<TABLE>
<CAPTION>
                                                                     Page
                                                                     ----
<S>                                                                  <C>
Investment Restrictions............................................. B-1
Investment Policies and Techniques.................................. B-2
Portfolio Transactions.............................................. B-10
Investment Manager and Underwriter.................................. B-11
Purchase and Redemption of Shares................................... B-16
Dividends and Taxes................................................. B-16
Performance......................................................... B-18
Officers and Trustees............................................... B-22
Shareholder Rights.................................................. B-23
Appendix--Ratings of Fixed Income Investments....................... B-25
</TABLE>
    
 
   
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.
    
 
   
KHF-13 9/96                             [Recycle LOGO] printed on recycled paper
    
<PAGE>   49
 
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.
 
NO PORTFOLIO MAY, 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 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 a 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.
 
                                       B-1
<PAGE>   50
 
   
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. Each Portfolio has adopted the following non-fundamental
restrictions, which may be changed by the Board of Trustees without shareholder
approval. No Portfolio may:
    
 
(i) Purchase or retain the securities of any issuer if any of the officers,
trustees or directors of the Fund or its investment adviser owns beneficially
more than 1/2 of 1% of the securities of such issuer and together own more than
5% of the securities of such issuer.
 
(ii) Invest for the purpose of exercising control or management of another
issuer.
 
(iii) Invest in interests in oil, gas or other mineral exploration or
development programs, although it may invest in the securities of issuers that
invest in or sponsor such programs.
 
(iv) 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.
 
(v) Invest more than 5% of its total assets in securities of issuers (other than
obligations of, or guaranteed by, the U.S. Government, its agencies or
instrumentalities) that with their predecessors have a record of less than three
years continuous operation and equity securities of issuers that are not readily
marketable.
 
(vi) Invest more than 15% of its net assets in illiquid securities.
 
(vii) Invest in warrants if more than 5% of its net assets would be invested in
warrants. Included within that amount, but not to exceed 2% of the Portfolio's
net assets, may be warrants not listed on the New York or American Stock
Exchange. Warrants acquired in units or attached to securities may be deemed to
be without value for such purposes.
 
(viii) Invest in oil, gas, and other mineral leases.
 
(ix) Purchase or sell real property (including limited partnership interests but
excluding readily marketable interests in real estate investment trusts and
readily marketable securities of companies that invest in real estate).
 
(x) Invest more than 5% of its total assets in restricted securities, excluding
restricted securities eligible for resale pursuant to Rule 144A under the
Securities Act of 1933 that have been determined to be liquid pursuant to
procedures adopted by the Board of Trustees, provided that the total amount of
its assets invested in restricted securities and securities of issuers that with
their predecessors have a record of less than three years continuous operation
will not exceed 15% of total assets.
 
(xi) Invest more than 10% of its total assets in securities of real estate
investment trusts.
 
(xii) 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.
 
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
 
                                       B-2
<PAGE>   51
 
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 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
 
                                       B-3
<PAGE>   52
 
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.
 
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
 
                                       B-4
<PAGE>   53
 
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 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 markets could result. Price
 
                                       B-5
<PAGE>   54
 
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
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
 
                                       B-6
<PAGE>   55
 
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
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.
    
 
                                       B-7
<PAGE>   56
 
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 deferring realization of gain or loss 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 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
 
                                       B-8
<PAGE>   57
 
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.
 
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
 
                                       B-9
<PAGE>   58
 
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
 
   
Zurich Kemper Investments, Inc. ("ZKI") and its affiliates furnish investment
management services for the Kemper Funds and other clients including affiliated
insurance companies. As described in the Fund's prospectus, Zurich Investment
Management Limited ("ZIML") provides analysis, research, execution and trading
services with respect to foreign securities and, for the value portion of the
U.S. securities portion of each Portfolio, Dreman Value Advisors, Inc. ("DVA")
is the sub-adviser. ZKI and its affiliates may share some common research and
trading facilities. At times investment decisions may be made to purchase or
sell the same investment securities for a Portfolio and for one or more of the
other clients managed by ZKI or its affiliates. When two or more of such clients
are simultaneously engaged in the purchase or sale of the same security through
the same trading facility, the transactions are allocated as to amount and price
in a manner considered equitable to each.
    
 
National securities exchanges have established limitations governing the maximum
number of options in each class which may be written by a single investor or
group of investors acting in concert. An exchange may order the liquidation of
positions found to be in violation of these limits, and it may impose certain
other sanctions. These position limits may restrict the number of options a
Portfolio will be able to write on a particular security.
 
   
The above mentioned factors may have a detrimental effect on the quantities or
prices of securities, options or futures contracts available to a Portfolio. On
the other hand, the ability of a Portfolio to participate in volume transactions
may produce better executions for a Portfolio in some cases. The Board of
Trustees of the Fund believes that the benefits of ZKI's and DVA's organization
outweigh any limitations that may arise from simultaneous transactions or
position limitations.
    
 
   
ZKI, ZIML and DVA, in effecting purchases and sales of portfolio securities for
the account of each Portfolio, will implement the Fund's policy of seeking best
execution of orders, which includes best net prices, except to the extent that
ZKI, ZIML and DVA may be permitted to pay higher brokerage commissions for
research services as described below. Consistent with this policy, orders for
portfolio transactions are placed with broker-dealer firms giving consideration
to the quality, quantity and nature of each firm's professional services, which
include execution, clearance procedures, wire service quotations and statistical
and other research information provided to a Portfolio and ZKI, ZIML or DVA. Any
research benefits derived are available for all clients, including clients of
affiliated companies. Since it is only supplementary to ZKI's, ZIML's and DVA's
own research efforts and must be analyzed and reviewed by their staff, the
receipt of research information is not expected to materially reduce expenses.
In selecting among firms believed to meet the criteria for handling a particular
transaction, ZKI, ZIML and DVA may give consideration to those firms that have
sold or are selling shares of the Fund and of other funds managed by ZKI or its
affiliates, as well as to those firms that provide market, statistical and other
research information to a Portfolio, ZKI, ZIML and DVA; although ZKI, ZIML and
DVA are not authorized to pay higher commissions or, in the case of principal
trades, higher prices to firms that provide such services, except as described
below.
    
 
                                      B-10
<PAGE>   59
 
   
ZKI, ZIML and DVA may in certain instances be permitted to pay higher brokerage
commissions (not including principal trades) solely for receipt of market,
statistical and other research services. Subject to Section 28(e) of the
Securities Exchange Act of 1934 and procedures adopted by the Board of Trustees,
a Portfolio could pay a firm that provides research services to ZKI, ZIML and
DVA a commission for effecting a securities transaction for the Portfolio in
excess of the amount other firms would have charged for the transaction if ZKI,
ZIML and DVA determines in good faith that the greater commission is reasonable
in relation to the value of the research services provided by the executing firm
viewed in terms either of a particular transaction or ZKI's, ZIML's and DVA's
overall responsibilities to the Portfolio or other clients. Not all of such
research services may be useful or of value in advising a particular Portfolio.
Research benefits will be available for all clients of ZKI and its subsidiaries.
The investment management fee paid by a Portfolio to ZKI is not reduced because
ZKI, ZIML and DVA receive these research services.
    
 
   
The table below shows total brokerage commissions paid by each Portfolio for the
period December 29, 1995 (commencement of operations) to July 31, 1996, the
percentage thereof that was allocated to firms based upon research information
provided.
    
 
   
<TABLE>
<CAPTION>
                                                                                         ALLOCATED TO FIRMS
                                                                                              BASED ON
                                                                                            RESEARCH IN
                              PORTFOLIO                                   FISCAL 1996       FISCAL 1996
- ---------------------------------------------------------------------     -----------    ------------------
<S>                                                                       <C>            <C>
Horizon 20+..........................................................       $54,000              54%
Horizon 10+..........................................................       $40,000              56%
Horizon 5............................................................       $15,000              53%
</TABLE>
    
 
INVESTMENT MANAGER AND UNDERWRITER
 
   
INVESTMENT MANAGER. ZKI, 120 South LaSalle Street, Chicago, Illinois 60603, is
the Fund's investment manager. ZKI is wholly owned by KFS Holding Corp. KFS
Holding Corp. is a more than 90% owned subsidiary of Zurich Holding Company of
America, Inc., which is a wholly owned subsidiary of Zurich Insurance Company,
an internationally recognized company providing services in life and non-life
insurance, reinsurance and cost management. Pursuant to an investment management
agreement, ZKI acts as the Fund's investment adviser, manages its investments,
administers its business affairs, furnishes office facilities and equipment,
provides clerical, bookkeeping and 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 ZKI), independent auditors, counsel, custodian and transfer
agent and the cost of share certificates, reports and notices to shareholders,
brokerage commissions or transaction costs, costs of calculating net asset
value, 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. ZKI has agreed to reimburse a
Portfolio to the extent required by applicable state expense limitations should
all operating expenses of the Portfolio, including the investment management
fees of ZKI but excluding taxes, interest, distribution fees, extraordinary
expenses, brokerage commissions or transaction costs and any other properly
excludable expenses, exceed the applicable state expense limitations. The Fund
believes that the most restrictive state expense limitation currently in effect
would require that such operating expenses not exceed 2.5% of the first $30
million of average daily net assets, 2% of the next $70 million and 1.5% of
average daily net assets over $100 million. Under such state expense limitation,
custodian costs attributable to foreign securities that are in excess of similar
domestic custodian costs are excluded from operating expenses.
    
 
   
The investment management agreement provides that ZKI 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
    
 
                                      B-11
<PAGE>   60
 
   
resulting from willful misfeasance, bad faith or gross negligence on the part of
ZKI 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 is for an initial term ending April
1, 1997 and 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.
 
   
ZKI is paid an investment management fee, monthly, by each Portfolio, at the
annual rates shown below.
    
 
<TABLE>
<CAPTION>
                                                                                     MANAGEMENT FEE
                     AVERAGE DAILY NET ASSETS OF A PORTFOLIO                             RATES
- ----------------------------------------------------------------------------------   --------------
<S>                                                                                  <C>
$0 - $250 million.................................................................         .58%
$250 million - $1 billion.........................................................         .55
$1 billion - $2.5 billion.........................................................         .53
$2.5 billion - $5 billion.........................................................         .51
$5 billion - $7.5 billion.........................................................         .48
$7.5 billion - $10 billion........................................................         .46
$10 billion - $12.5 billion.......................................................         .44
Over $12.5 billion................................................................         .42
</TABLE>
 
   
The table below shows investment management fees paid by each Portfolio for the
period December 29, 1995 (commencement of operations) to July 31, 1996.
    
 
   
<TABLE>
<CAPTION>
                                      PORTFOLIO                                           FISCAL 1996
- -------------------------------------------------------------------------------------     -----------
<S>                                                                                       <C>
Horizon 20+..........................................................................       $26,000
Horizon 10+..........................................................................       $27,000
Horizon 5............................................................................       $16,000
</TABLE>
    
 
   
FUND SUB-ADVISER. DVA, 10 Exchange Place, Jersey City, New Jersey 07302, is the
sub-adviser for the value portion of each Portfolio. DVA is a wholly owned
subsidiary of ZKI. DVA acts as sub-adviser pursuant to the terms of a
Sub-Advisory Agreement between it and ZKI.
    
 
   
Under the terms of the Sub-Advisory Agreement, DVA will manage the value portion
of each Portfolio and will provide such investment advice, research and
assistance as ZKI may, from time to time, reasonably request. DVA may, under the
terms of the Sub-Advisory Agreement, render similar services to others including
other investment companies. For its services, DVA will receive from ZKI a
monthly fee at the annual rate of .25% of the portion of the average daily net
assets of each Portfolio allocated by ZKI to DVA for management. DVA permits any
of its officers or employees to serve without compensation as trustees or
officers of the Fund if elected to such positions.
    
 
The Sub-Advisory Agreement provides that DVA will not be liable for any error of
judgment or mistake of law or for any loss suffered by the Fund in connection
with matters to which the Sub-Advisory Agreement relates, except a loss
resulting from willful misfeasance, bad faith or gross negligence on the part of
DVA in the performance of its duties or from reckless disregard by DVA of its
obligations and duties under the Sub-Advisory Agreement.
 
The Sub-Advisory Agreement is for an initial term ending April 1, 1997 and
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
Sub-Advisory Agreement may be terminated at any time for a
 
                                      B-12
<PAGE>   61
 
   
Portfolio upon 60 days notice by ZKI, DVA or the Board of Trustees, or by a
majority vote of the outstanding shares of the Portfolio, and will terminate
automatically upon assignment or upon the termination of the Fund's investment
management agreement. If additional Portfolios become subject to the
Sub-Advisory 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.
    
 
   
The table below shows sub-adviser fees paid by ZKI to DVA with respect to each
Portfolio for the period December 29, 1995 (commencement of operations) to July
31, 1996.
    
 
   
<TABLE>
<CAPTION>
PORTFOLIO                                                                                FISCAL 1996
- --------------------------------------------------------------------------------------   -----------
<S>                                                                                      <C>
Horizon 20+...........................................................................     $ 1,000
Horizon 10+...........................................................................     $ 1,000
Horizon 5.............................................................................     $     0
</TABLE>
    
 
   
PRINCIPAL UNDERWRITER. Pursuant to separate underwriting and distribution
services agreements ("distribution agreements"), Kemper Distributors, Inc.
("KDI"), a wholly-owned subsidiary of ZKI, 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 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 period December 29, 1995 (commencement of operations) to July 31, 1996.
    
 
   
<TABLE>
<CAPTION>
                                          COMMISSIONS RETAINED    COMMISSIONS UNDERWRITER      COMMISSIONS PAID TO
PORTFOLIO                                    BY UNDERWRITER          PAID TO ALL FIRMS       KEMPER AFFILIATED FIRMS
- ---------------------------------------   --------------------    -----------------------    -----------------------
<S>                                       <C>                     <C>                        <C>
Horizon 20+............................         $  7,000                  160,000                     16,000
Horizon 10+............................         $ 14,000                  235,000                     21,000
Horizon 5..............................         $  7,000                  154,000                     10,000
</TABLE>
    
 
                                      B-13
<PAGE>   62
 
   
CLASS B SHARES AND CLASS C SHARES. Since the distribution agreement provides for
fees charged to Class B and Class C shares that are used by KDI to pay for
distribution services (see the prospectus under "Investment Manager and
Underwriter"), the agreement (the "Plan") is approved and renewed separately for
the Class B and Class C shares in accordance with Rule 12b-1 under the
Investment Company Act of 1940, which regulates the manner in which an
investment company may, directly or indirectly, bear expenses of distributing
its shares. 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 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.
    
 
   
<TABLE>
<CAPTION>
                                            TOTAL       COMMISSIONS           OTHER DISTRIBUTION EXPENSES PAID BY UNDERWRITER
          DISTRIBUTION    CONTINGENT     COMMISSIONS      PAID BY       -----------------------------------------------------------
PORTFOLIO  FEES PAID       DEFERRED        PAID BY     UNDERWRITER TO   ADVERTISING                MARKETING     MIS.
CLASS B   BY FUND TO    SALES CHARGES    UNDERWRITER     AFFILIATED         AND       PROSPECTUS   AND SALES   OPERATING   INTEREST
SHARES    UNDERWRITER   TO UNDERWRITER    TO FIRMS         FIRMS        LITERATURE     PRINTING    EXPENSES    EXPENSES    EXPENSES
- ------    -----------   --------------   -----------   --------------   -----------   ----------   ---------   ---------   --------
<S>     <C>           <C>              <C>           <C>              <C>           <C>          <C>         <C>         <C>
Horizon
 20+...   $16,000          3,000         270,000         32,000          37,000        2,000       79,000      12,000      9,000
Horizon
 10+...   $17,000          1,000         261,000         32,000          36,000        2,000       76,000      12,000      8,000
Horizon
 5....    $11,000          6,000         186,000         15,000          28,000        2,000       57,000      10,000      6,000
</TABLE>
    
 
   
<TABLE>
<CAPTION>
                                            TOTAL      DISTRIBUTION
                                         DISTRIBUTION  FEES PAID BY         OTHER DISTRIBUTION EXPENSES PAID BY UNDERWRITER
           DISTRIBUTION     CONTINGENT      FEES PAID    UNDERWRITER    -----------------------------------------------------------
PORTFOLIO    FEES PAID    DEFERRED SALES       BY             TO        ADVERTISING                MARKETING     MIS.
CLASS C     BY FUND TO      CHARGES TO     UNDERWRITER    AFFILIATED        AND       PROSPECTUS   AND SALES   OPERATING   INTEREST
SHARES     UNDERWRITER    UNDERWRITER(1)    TO FIRMS        FIRMS       LITERATURE     PRINTING    EXPENSES    EXPENSES    EXPENSES
- -------    ------------   --------------   -----------   ------------   -----------   ----------   ---------   ---------   --------
<S>      <C>            <C>              <C>           <C>            <C>           <C>          <C>         <C>         <C>
Horizon
 20+...     $2,000               0          5,000              0         5,000           0          9,000      2,000         0
Horizon
 10+...     $2,000               0          5,000              0         5,000           0         10,000      1,000         0
Horizon
 5.....     $1,000               0          4,000              0         4,000           0          8,000      1,000         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 .25% of average daily net assets of the Class A, B and C shares of
the Portfolio.
    
 
   
KDI has entered into related arrangements with various financial services firms,
such as broker-dealers or banks ("firms"), that provide services and facilities
for their customers or clients who are shareholders 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 shareholder 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 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, payable quarterly, at an annual rate
of up to .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 purchased on or after April 1, 1996,
KDI currently advances to firms the first-year service fee at a rate of up to
 .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 .25% (calculated
monthly and 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.
    
 
                                      B-14
<PAGE>   63
 
   
The following information concerns the administrative services fee paid by each
Portfolio for the period December 29, 1995 (commencement of operations) to July
31, 1996.
    
 
   
<TABLE>
<CAPTION>
                                        ADMINISTRATIVE SERVICE FEES
                                               PAID BY FUND                   SERVICE FEES              SERVICE FEES
                                      -------------------------------     PAID BY ADMINISTRATOR     PAID BY ADMINISTRATOR
            PORTFOLIO                 CLASS A     CLASS B     CLASS C           TO FIRMS             TO AFFILIATED FIRMS
- ----------------------------------    -------     -------     -------     ---------------------     ---------------------
<S>                                   <C>         <C>         <C>         <C>                       <C>
Horizon 20+.......................    $ 4,000      5,000       1,000              25,000                    3,000
Horizon 10+.......................    $ 4,000      6,000       1,000              26,000                    3,000
Horizon 5.........................    $ 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 there is a firm listed on the Fund's records 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 there is a firm of record. 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 ZKI,
DVA or KDI as indicated under "Officers and Trustees."
    
 
   
CUSTODIAN, TRANSFER AGENT AND SHAREHOLDER SERVICE AGENT. Investors Fiduciary
Trust Company ("IFTC"), 127 West 10th Street, 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 ZKI,
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.
    
 
   
The following shows for each Portfolio, for the period December 29, 1995
(commencement of operations) to July 31, 1996, the shareholder service fees IFTC
remitted to KSvC.
    
 
   
<TABLE>
<CAPTION>
                                                                                         FEES IFTC
                                     PORTFOLIO                                          PAID TO KSVC
- -----------------------------------------------------------------------------------     ------------
<S>                                                                                     <C>
Horizon 20+........................................................................       $ 20,000
Horizon 10+........................................................................       $ 12,000
Horizon 5..........................................................................       $  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.
 
                                      B-15
<PAGE>   64
 
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.
 
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.
 
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 amount
for each class.
 
                                      B-16
<PAGE>   65
 
   
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 will
not be liable for federal income taxes to the extent its earnings are
distributed. One of the Subchapter M requirements to be satisfied is that less
than 30% of a Portfolio's gross income during its fiscal year must be derived
from gains (not reduced by losses) from the sale or other disposition of
securities and certain other investments held for less than three months. A
Portfolio may be limited in its options, futures and foreign currency
transactions in order to prevent recognition of such gains.
    
 
A Portfolio's options, futures and foreign currency transactions are subject to
special tax provisions that may accelerate or defer recognition of certain gains
or losses, change the character of certain gains or losses, or alter the holding
periods of certain of the Portfolio's securities.
 
The mark-to-market rules of the Code may require a Portfolio to recognize
unrealized gains and losses on certain options and futures held by the Portfolio
at the end of the fiscal year. Under these provisions, 60% of any capital gain
net income or loss recognized will generally be treated as long-term and 40% as
short-term. However, although certain forward contracts and futures contracts on
foreign currency are marked-to-market, the gain or loss is generally ordinary
under Section 988 of the Code. In addition, the straddle rules of the Code would
require deferral of certain losses realized on positions of a straddle to the
extent that the Portfolio had unrealized gains in offsetting positions at year
end.
 
   
Gains and losses attributable to fluctuations in the value of foreign currencies
will be characterized generally as ordinary gain or loss under Section 988 of
the Code. For example, if a Portfolio sold a foreign bond and part of the gain
or loss on the sale was attributable to an increase or decrease in the value of
a foreign currency, then the currency gain or loss may be treated as ordinary
income or loss. If such transactions result in greater net ordinary income, the
dividends paid on behalf of the Portfolio will be increased; if the result of
such transactions is lower net ordinary income, a portion of dividends paid
could be classified as a return of capital.
    
 
A 4% excise tax is imposed on the excess of the required distribution for a
calendar year over the distributed amount for such calendar year. The required
distribution is the sum of 98% of the Portfolio's net investment income for the
calendar year plus 98% of its capital gain net income for the one-year period
ending October 31, plus any undistributed net investment income from the prior
calendar year, plus any undistributed capital gain net income from the one year
period ended October 31 of the prior calendar year, minus any overdistribution
in the prior calendar year. For purposes of calculating the required
distribution, foreign currency gains or losses occurring after October 31 are
taken into account in the following calendar year. The Fund intends to declare
or distribute dividends of the Portfolios during the appropriate periods of an
amount sufficient to prevent imposition of the 4% excise tax.
 
   
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 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 the Portfolio or in shares of a Kemper
Mutual Fund within six months of the redemption as described in the prospectus
under "Redemption or Repurchase of Shares--Reinvestment Privilege." If redeemed
shares were purchased after October 3, 1989 and 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 realized a loss on the redemption or exchange of a Portfolio's
shares and reinvests in shares of the same Portfolio 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.
    
 
                                      B-17
<PAGE>   66
 
A Portfolio's investment income derived from foreign securities may be subject
to foreign income taxes withheld at the source. Because the amount of a
Portfolio's investments in various countries will change from time to time, it
is not possible to determine the effective rate of such taxes in advance.
 
Shareholders who are non-resident aliens are subject to U.S. withholding tax on
ordinary income dividends (whether received in cash or shares) at a rate of 30%
or such lower rate as prescribed by any applicable tax treaty.
 
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.
    
 
   
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
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.
    
 
                                      B-18
<PAGE>   67
 
   
The figures below show performance information for various periods. Comparative
information for certain indices is also included. Please note the differences
and similarities between the investments which a Fund may purchase and the
investments measured by the applicable indices. The net asset values and returns
of each class of shares of the Funds will also fluctuate. No adjustment has been
made for taxes payable on dividends. The periods indicated were ones of
fluctuating securities prices and interest rates.
    
 
   
                          HORIZON 20+ -- JULY 31, 1996
    
   
<TABLE>
<CAPTION>
            INITIAL       CAPITAL GAIN       INCOME         ENDING       PERCENTAGE        ENDING         PERCENTAGE      DOW JONES
 TOTAL      $10,000          INCOME        DIVIDENDS        VALUE         INCREASE         VALUE           INCREASE       INDUSTRIAL
RETURN     INVESTMENT      DIVIDENDS       REINVESTED     (ADJUSTED)     (ADJUSTED)     (UNADJUSTED)     (UNADJUSTED)      AVERAGE
 TABLE        (1)          REINVESTED         (2)            (1)            (1)             (1)              (1)             (3)
- -------    ----------     ------------     ----------     ----------     ----------     ------------     ------------     ---------
<S>        <C>            <C>              <C>            <C>            <C>            <C>              <C>              <C>
CLASS A SHARES
Life of
 Fund(+)    $  9,643           $0              $0          $  9,643        (3.6)%         $ 10,232           2.3%            9.9%
CLASS B SHARES
Life of
 Fund(+)    $ 10,158           $0              $0          $  9,758        (2.4)%         $ 10,158           1.6%            9.9%
CLASS C SHARES
Life of
 Fund(+)    $ 10,179           $0              $0          $ 10,079          0.8%         $ 10,179           1.8%            9.9%
 
<CAPTION>
                                    LEHMAN
         STANDARD     CONSUMER     GOV/CORP       U.S.
 TOTAL   & POOR'S      PRICE         BOND       TREASURY
RETURN     500         INDEX        INDEX         BILL
 TABLE     (4)          (5)          (6)          (7)
- -------  --------     --------     --------     --------
<S>        <C>        <C>          <C>          <C>
CLASS A
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
CLASS B
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
CLASS C
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
</TABLE>
    
 
   
<TABLE>
<CAPTION>
AVERAGE                                                                                  LEHMAN
 ANNUAL                                         DOW JONES     STANDARD     CONSUMER     GOV/CORP       U.S.
 TOTAL       FUND        FUND        FUND       INDUSTRIAL    & POOR'S      PRICE         BOND       TREASURY
 RETURN     CLASS A     CLASS B     CLASS C      AVERAGE        500         INDEX        INDEX         BILL
 TABLE      SHARES      SHARES      SHARES         (3)          (4)          (5)          (6)          (7)
- --------    -------     -------     -------     ---------     --------     --------     --------     --------
<S>         <C>         <C>         <C>         <C>           <C>          <C>          <C>          <C>
Life of
 Fund(+)    (6.0)%      (4.1)%        1.3%        17.4%         9.8%         3.6%        (2.8)%        9.0%
</TABLE>
    
 
- ---------------
 
   
(+) Since December 29, 1995.
    
 
   
                          HORIZON 10+ -- JULY 31, 1996
    
   
<TABLE>
<CAPTION>
            INITIAL       CAPITAL GAIN       INCOME         ENDING       PERCENTAGE        ENDING         PERCENTAGE      DOW JONES
 TOTAL      $10,000          INCOME        DIVIDENDS        VALUE         INCREASE         VALUE           INCREASE       INDUSTRIAL
RETURN     INVESTMENT      DIVIDENDS       REINVESTED     (ADJUSTED)     (ADJUSTED)     (UNADJUSTED)     (UNADJUSTED)      AVERAGE
 TABLE        (1)          REINVESTED         (2)            (1)            (1)             (1)              (1)             (3)
- -------    ----------     ------------     ----------     ----------     ----------     ------------     ------------     ---------
<S>        <C>            <C>              <C>            <C>            <C>            <C>              <C>              <C>
CLASS A SHARES
Life of
 Fund(+)    $  9,524           $0             $ 61         $  9,585        (4.2)%         $ 10,170           1.7%            9.9%
CLASS B SHARES
Life of
 Fund(+)    $ 10,106           $0             $ 30         $  9,736        (2.6)%         $ 10,136           1.4%            9.9%
CLASS C SHARES
Life of
 Fund(+)    $ 10,105           $0             $ 34         $ 10,039         0.4 %         $ 10,139           1.4%            9.9%
 
<CAPTION>
                                    LEHMAN
         STANDARD     CONSUMER     GOV/CORP       U.S.
 TOTAL   & POOR'S      PRICE         BOND       TREASURY
RETURN     500         INDEX        INDEX         BILL
 TABLE     (4)          (5)          (6)          (7)
- -------  --------     --------     --------     --------
<S>        <C>        <C>          <C>          <C>
CLASS A
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
CLASS B
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
CLASS C
Life of
 Fund(+)   5.7%         2.1%        (1.7)%        5.2%
</TABLE>
    
 
                                      B-19
<PAGE>   68
 
   
<TABLE>
<CAPTION>
                                                                                                LEHMAN
    AVERAGE                                            DOW JONES     STANDARD     CONSUMER     GOV/CORP       U.S.
     ANNUAL         FUND        FUND        FUND       INDUSTRIAL    & POOR'S      PRICE         BOND       TREASURY
  TOTAL RETURN     CLASS A     CLASS B     CLASS C      AVERAGE        500         INDEX        INDEX         BILL
     TABLE         SHARES      SHARES      SHARES         (3)          (4)          (5)          (6)          (7)
- ----------------   -------     -------     -------     ---------     --------     --------     --------     --------
<S>                <C>         <C>         <C>         <C>           <C>          <C>          <C>          <C>
Life of Fund(+)    (6.9)%      (4.4)%        0.7%        17.4%         9.8%         3.6%        (2.8)%        9.0%
</TABLE>
    
 
- ---------------
   
(+) Since December 29, 1995.
    
 
   
                           HORIZON 5 -- JULY 31, 1996
    
   
<TABLE>
<CAPTION>
                          INITIAL     CAPITAL GAIN     INCOME       ENDING     PERCENTAGE      ENDING       PERCENTAGE    DOW JONES
          TOTAL           $10,000        INCOME      DIVIDENDS      VALUE       INCREASE       VALUE         INCREASE     INDUSTRIAL
         RETURN          INVESTMENT    DIVIDENDS     REINVESTED   (ADJUSTED)   (ADJUSTED)   (UNADJUSTED)   (UNADJUSTED)    AVERAGE
          TABLE             (1)        REINVESTED       (2)          (1)          (1)           (1)            (1)           (3)
         -------         ----------   ------------   ----------   ----------   ----------   ------------   ------------   ---------
<S>                      <C>          <C>            <C>          <C>          <C>          <C>            <C>            <C>
                                                          CLASS A SHARES
Life of Fund(+)           $  9,494         $0           $104       $  9,598      (4.0)%       $ 10,184         1.8%          9.9%
                                                          CLASS B SHARES
Life of Fund(+)           $ 10,073         $0           $ 71       $  9,744      (2.6)%       $ 10,144         1.4%          9.9%
                                                          CLASS C SHARES
Life of Fund(+)           $ 10,073         $0           $ 72       $ 10,045        0.5%       $ 10,145         1.5%          9.9%
 
<CAPTION>
                                                  LEHMAN
                           STANDARD   CONSUMER   GOV/CORP     U.S.
          TOTAL            & POOR'S    PRICE       BOND     TREASURY
         RETURN              500       INDEX      INDEX       BILL
          TABLE              (4)        (5)        (6)        (7)
         -------           --------   --------   --------   --------
<S>                      <C<C>        <C>        <C>        <C>
 
Life of Fund(+)              5.7%       2.1%      (1.7)%      5.2%
 
Life of Fund(+)              5.7%       2.1%      (1.7)%      5.2%
 
Life of Fund(+)              5.7%       2.1%      (1.7)%      5.2%
</TABLE>
    
 
   
<TABLE>
<CAPTION>
                                                                                                LEHMAN
    AVERAGE                                            DOW JONES     STANDARD     CONSUMER     GOV/CORP       U.S.
     ANNUAL         FUND        FUND        FUND       INDUSTRIAL    & POOR'S      PRICE         BOND       TREASURY
  TOTAL RETURN     CLASS A     CLASS B     CLASS C      AVERAGE        500         INDEX        INDEX         BILL
     TABLE         SHARES      SHARES      SHARES         (3)          (4)          (5)          (6)          (7)
- ----------------   -------     -------     -------     ---------     --------     --------     --------     --------
<S>                <C>         <C>         <C>         <C>           <C>          <C>          <C>          <C>
Life of Fund(+)    (6.7)%      (4.3)%        0.8%        17.4%         9.8%         3.6%        (2.8)%        9.0%
</TABLE>
    
 
- ---------------
   
(+) Since December 29, 1995.
    
 
   
                            FOOTNOTES FOR ALL FUNDS
    
 
   
(1) The Initial Investment and adjusted amounts for Class A shares were adjusted
    for the maximum initial sales charge at the beginning of the period, which
    is 5.75%. The Initial Investment for Class B and Class C shares was not
    adjusted. Amounts were adjusted for Class B and Class C shares for the
    contingent deferred sales charge that may be imposed at the end of the
    period based upon the schedule for shares sold currently; see "Redemption or
    Repurchase of Shares" in the prospectus.
    
   
(2) Includes short-term capital gain dividends, if any.
    
   
(3) The Dow Jones Industrial Average is an unmanaged weighted average of thirty
    blue chip industrial corporations listed on the New York Stock Exchange.
    Assumes reinvestment of dividends. Source is Towers Data Systems.
    
   
(4) The Standard & Poor's 500 Stock Index is an unmanaged unweighted average of
    500 stocks, over 95% of which are listed on the New York Stock Exchange.
    Assumes reinvestment of dividends. Source is Towers Data Systems.
    
   
(5) The Consumer Price Index is a statistical measure of change, over time, in
    the prices of goods and services in major expenditure groups for all urban
    consumers. Source is Towers Data Systems.
    
   
(6) The Lehman Brothers Government/Corporate Bond Index is on a total return
    basis and is comprised of all publicly issued, non-convertible, domestic
    debt of the U.S. Government or any agency thereof, quasi-federal
    corporation, or corporate debt guaranteed by the U.S. Government and all
    publicly issued, fixed-rate, non-convertible, domestic debt of the three
    major corporate classifications: industrial, utility, and financial. Only
    notes and bonds with a minimum outstanding principal amount of $1,000,000
    and a minimum of one year to maturity are included. Bonds included must have
    a rating of at least Baa by Moody's Investors Service, Inc., BBB by Standard
    & Poor's Corporation or in the case of bank bonds not rated by either
    Moody's or S&P, BBB by Fitch Investors Service. This index is unmanaged.
    Source is Towers Data Systems.
    
   
(7) The U.S. Treasury Bill Index is an unmanaged index based on the average
    monthly yield of Treasury Bills maturing in 6 months. Source is Towers Data
    Systems.
    
 
   
The following tables illustrate an assumed $10,000 investment in Class A shares
of each Portfolio, which includes the current maximum sales charge of 5.75%,
with income and capital gain dividends reinvested in additional
    
 
                                      B-20
<PAGE>   69
 
   
shares. Each table covers the period from December 29, 1995 (commencement of
operations of the Fund) to July 31, 1996.
    
 
   
                             HORIZON 20+ (12/29/95)
    
 
   
<TABLE>
<CAPTION>
                  DIVIDENDS
          --------------------------             CUMULATIVE VALUE OF SHARES ACQUIRED
                            ANNUAL       ---------------------------------------------------
            ANNUAL         CAPITAL                                     REINVESTED
YEAR        INCOME           GAIN                       REINVESTED      CAPITAL
ENDED      DIVIDENDS      DIVIDENDS       INITIAL         INCOME          GAIN        TOTAL
7/31      REINVESTED*     REINVESTED     INVESTMENT     DIVIDENDS*     DIVIDENDS      VALUE
- -----     -----------     ----------     ----------     ----------     ----------     ------
<S>       <C>             <C>            <C>            <C>            <C>            <C>
1996          $ 0             $0           $9,643           $0             $0         $9,643
</TABLE>
    
 
   
                             HORIZON 10+ (12/29/95)
    
 
   
<TABLE>
<CAPTION>
                  DIVIDENDS
          --------------------------             CUMULATIVE VALUE OF SHARES ACQUIRED
                            ANNUAL       ---------------------------------------------------
            ANNUAL         CAPITAL                                     REINVESTED
YEAR        INCOME           GAIN                       REINVESTED      CAPITAL
ENDED      DIVIDENDS      DIVIDENDS       INITIAL         INCOME          GAIN        TOTAL
7/31      REINVESTED*     REINVESTED     INVESTMENT     DIVIDENDS*     DIVIDENDS      VALUE
- -----     -----------     ----------     ----------     ----------     ----------     ------
<S>       <C>             <C>            <C>            <C>            <C>            <C>
1996          $63             $0           $9,524          $ 61            $0         $9,585
</TABLE>
    
 
   
                              HORIZON 5 (12/29/95)
    
 
   
<TABLE>
<CAPTION>
                  DIVIDENDS
          --------------------------             CUMULATIVE VALUE OF SHARES ACQUIRED
                            ANNUAL       ---------------------------------------------------
            ANNUAL         CAPITAL                                     REINVESTED
YEAR        INCOME           GAIN                       REINVESTED      CAPITAL
ENDED      DIVIDENDS      DIVIDENDS       INITIAL         INCOME          GAIN        TOTAL
7/31      REINVESTED*     REINVESTED     INVESTMENT     DIVIDENDS*     DIVIDENDS      VALUE
- -----     -----------     ----------     ----------     ----------     ----------     ------
<S>       <C>             <C>            <C>            <C>            <C>            <C>
1996         $ 106            $0           $9,494          $104            $0         $9,598
</TABLE>
    
 
- ---------------
 
   
* Includes short-term capital gain gain dividends.
    
 
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(TM) 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 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
 
                                      B-21
<PAGE>   70
 
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.
 
OFFICERS AND TRUSTEES
 
   
The officers and trustees of the Fund, their birthdates, their principal
occupations and their affiliations, if any, with ZKI, the investment manager,
DVA, the sub-adviser, and KDI, the principal underwriter, are as follows (The
number following each person's title is the number of investment companies
managed by ZKI and its affiliates for which he or she holds similar positions):
    
 
   
JAMES E. AKINS (10/15/26), Trustee (13), 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 (13), 10642 Brookridge Drive, Frankfort,
Illinois, Retired; formerly, President, Illinois Manufacturers Association;
Trustee, Illinois Masonic Medical Center; Member, Board of Governors, Heartland
Institute/Illinois; formerly, Illinois State Senator.
    
 
   
FREDERICK T. KELSEY (4/25/27), Trustee (13), 3133 Laughing Gull Court, John's
Island, South Carolina; 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 Fund and the Pilot Fund.
    
 
   
*DOMINIQUE P. MORAX (10/2/48), Director (36), 120 South LaSalle Street, Chicago,
Illinois; Member, Extended Corporate Executive Board, Zurich Insurance Company;
Director, ZKI.
    
 
   
FRED B. RENWICK (2/1/30), Trustee (13), 3 Hanover Square, New York, New York;
Professor of Finance, New York University, Stern School of Business; Director;
TIFF Industrial Program, Inc., Director, the Wartberg Home Foundation; Chairman
Investment Committee of Morehouse College Board of Trustees; Chairman, American
Bible Society Investment Committee; previously member of the Investment
Committee of Atlanta University Board of Trustees; previously Director of Board
of Pensions Evangelical Lutheran Church of America.
    
 
   
*STEPHEN B. TIMBERS (8/8/44), President and Trustee (36), 120 South LaSalle
Street, Chicago, Illinois; President, Chief Executive Officer, Chief Investment
Officer and Director, ZKI; Director, KDI, DVA and LTV Corporation.
    
 
   
JOHN B. TINGLEFF (5/4/35), Trustee (13), 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.
    
 
   
JOHN G. WEITHERS (8/8/33), Trustee (13), 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 and Records Management Services, Inc.
    
 
   
*JOHN E. NEAL (3/9/50), Vice President (36), 120 South LaSalle Street, Chicago,
Illinois; President, Kemper Funds Group, a unit of ZKI; Director, ZKI, DVA and
KDI.
    
 
   
*THOMAS M. REGNER (7/1/52), Vice President (1), 120 South LaSalle Street,
Chicago, Illinois; Senior Vice President, ZKI.
    
 
                                      B-22
<PAGE>   71
 
   
*STEVEN H. REYNOLDS (9/11/43), Vice President (11), 120 South LaSalle Street,
Chicago, Illinois; Executive Vice President and Chief Investment
Officer--Equities, ZKI.
    
 
   
*CHARLES F. CUSTER (8/19/28), Vice President and Assistant Secretary (13), 222
North LaSalle Street, Chicago, Illinois; Partner, Vedder, Price, Kaufman &
Kammholz (attorneys), Legal Counsel to the Fund.
    
 
   
*JEROME L. DUFFY (6/29/36), Treasurer (36), 120 South LaSalle Street, Chicago,
Illinois; Senior Vice President, ZKI.
    
 
   
*PHILIP J. COLLORA (11/15/45), Vice President and Secretary (36), 120 South
LaSalle Street, Chicago, Illinois; Attorney, Senior Vice President and Assistant
Secretary, ZKI.
    
 
   
*ELIZABETH C. WERTH (10/1/47), Assistant Secretary (28), 120 South LaSalle
Street, Chicago, Illinois; Vice President, ZKI and Vice President and Director
of State Registrations, KDI.
    
- ---------------
* "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, except that Mr. Custer's law firm
receives fees from the Fund as counsel to 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 first full fiscal year and the total
compensation that the Kemper funds paid to such trustees during the calendar
year 1995.
    
 
   
<TABLE>
<CAPTION>
                                                                      AGGREGATE      TOTAL COMPENSATION
                                                                     COMPENSATION     KEMPER FUNDS PAID
                       NAME OF BOARD MEMBER                           FROM FUND      TO BOARD MEMBERS(3)
- -------------------------------------------------------------------  ------------    -------------------
<S>                                                                  <C>             <C>
James E. Akins(2)..................................................     $5,600             $26,100
Arthur R. Gottschalk(1)............................................     $5,600             $90,300
Frederick T. Kelsey(1).............................................     $5,600             $90,700
Fred B. Renwick(2).................................................     $5,600             $26,100
John B. Tingleff...................................................     $5,600             $81,700
John G. Weithers...................................................     $5,600             $81,900
</TABLE>
    
 
- ---------------
   
(1) Includes deferred fees and interest thereon pursuant to deferred
    compensation agreements with Kemper funds. Deferred amounts accrue interest
    monthly at a rate equal to the yield of Kemper Money Funds--Kemper Money
    Market Fund.
    
 
   
(2) Elected to the Boards of certain Kemper Funds on September 19, 1995.
    
 
   
(3) Includes compensation for service on the Boards of 11 Kemper funds, with 25
    fund portfolios. Each trustee currently serves as a board member of 13
    Kemper Funds with 29 fund portfolios.
    
 
   
As of August 12, 1996, the officers and directors of the Fund as a group owned
less than 1% of each Portfolio.
    
 
   
PRINCIPAL HOLDERS OF SECURITIES
    
 
   
As of August 12, 1996 the following owned of record more than 5% of the
outstanding stock of the Portfolios as set forth below.
    
 
                                      B-23
<PAGE>   72
 
   
                                  HORIZON 20+
    
 
   
<TABLE>
<CAPTION>
                                   NAME & ADDRESS                                 CLASS         PERCENTAGE
       ----------------------------------------------------------------------     -----         ----------
<C>    <S>                                                                        <C>           <C>
  *    T. Maresca............................................................       A               5.57
       335 Chestnut Lane
       Hamden, CT 06518
  *    Athene Adams..........................................................       A               5.13
       11404 Farmland Drive
       Rockville, MD 20852
  **   IFTC..................................................................       A               6.36
       IRA R/O Terrence A Soderberg
       953 Clay Court
       Deerfield, IL
  **   Merrill Lynch Pierce..................................................       C              19.37
       Fenner & Smith Inc.
       4800 Deer Lake Drive
       Jacksonville, FL 32246
  **   IFTG..................................................................       C               6.46
       IRA A/L Joan M Deyoung
       5138 Shady Creek Drive
       Muskegon, MI 49441
  **   Talon Services Inc....................................................       C               7.56
       FBO James P Gibson
       4901 Country Club Drive
       Mesquite, TX 75150
  **   Zurich Kemper Investments, Inc........................................       I              51.60
       Profit Sharing Plan
       811 Main
       Kansas City, MO 64105
  **   Kemper Group Plans....................................................       I              11.39
       811 Main
       Kansas City, MO 64105
</TABLE>
    
 
                                      B-24
<PAGE>   73
 
   
                                  HORIZON 10+
    
 
   
<TABLE>
<CAPTION>
                                   NAME & ADDRESS                                 CLASS         PERCENTAGE
       ----------------------------------------------------------------------     -----         ----------
<C>    <S>                                                                        <C>           <C>
  **   NFSC..................................................................       A               8.06
       FBO Sigrit M Parish
       1212 River Road
       New Bern, NC 28562
  **   NFSC..................................................................       B               8.63
       FBO Richard L Johnson
       2913 Archdale Drive
       Charlotte, NC 28210
  **   Everen Clearing Corp..................................................       B              12.80
       FBO James McBrien
       2604 Hanging Rock Drive
       Las Vegas, NV 89134
  **   Merrill Lynch Pierce..................................................       C              12.83
       Fenner & Smith Inc.
       4800 Deer Lake Drive
       Jacksonville, FL 32246
  **   Everen Clearing Corp..................................................       C              16.27
       FBO Russell L Allamon
       200 Arlington Road
       Brookville, OH 45309
  *    Michelle M Walker.....................................................       C               5.93
       841 Smoke Creek Road
       Knoxville, TN 37922
  *    Lois B Peterson.......................................................       C               5.54
       6522 E Barstow Street
       Mesa, AZ 85205
  **   First Trust Corp......................................................       C              13.81
       FBO Robert K Beiter
       P.O. Box 173301
       Denver, CO 80217
  **   Kemper Service Company................................................       I              30.03
       Profit Sharing Plan
       811 Main
       Kansas City, MO 64105
  **   Zurich Kemper Investments, Inc........................................       I              57.80
       Profit Sharing Plan
       811 Main
       Kansas City, MO 64105
  **   Kemper Group Plans....................................................       I               5.65
       811 Main
       Kansas City, MO 64105
</TABLE>
    
 
                                      B-25
<PAGE>   74
 
   
                                   HORIZON 5
    
 
   
<TABLE>
<CAPTION>
                                   NAME & ADDRESS                                 CLASS         PERCENTAGE
       ----------------------------------------------------------------------     -----         ----------
<C>    <S>                                                                        <C>           <C>
  **   NFSC..................................................................       B               5.29
       FBO Doris Mcalees
       2142 Clover Hill Road
       Palm Harbor, FL 34683
  **   Everen Clearing Corp..................................................       B               6.08
       FBO Karen A Telting
       W368 N 5604 Indianhead Trail
       Ocomomowoc, WI 53066
  *    Marilyn T Idol........................................................       C               5.03
       8008 Park Ridge Court
       Columbus, OH 43235
  *    Carolyn E Azzolini....................................................       C               5.70
       151 Mountain Way
       Rutherford, NJ 07070
  **   IFTC..................................................................       C              11.77
       IRA R/O Rodney G Potts
       1202 Prince Edward Street
       Fredericksberg, VA 22401
  **   IFTC..................................................................       C               5.81
       IRA A/C Raymond D Powers
       3400 N Ridgewood Drive
       Midwest City, OK 73110
  **   Painewebber...........................................................       C               6.39
       P.O. Box 12622
       Overland Park, KS 66282
  **   Kemper Service Company................................................       I              15.92
       Profit Sharing Plan
       811 Main
       Kansas City, MO 64105
  **   Zurich Kemper Investments, Inc........................................       I              83.66
       Profit Sharing Plan
       811 Main
       Kansas City, MO 64105
</TABLE>
    
 
- ---------------
   
 * Record and beneficial owner.
    
   
** Record owner only.
    
 
                                      B-26
<PAGE>   75
 
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 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 or any Portfolio, establishing a
Portfolio, 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 ZKI 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.
    
 
                                      B-27
<PAGE>   76
 
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.
 
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.
 
                                      B-28
<PAGE>   77
 
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.
 
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.
 
                                      B-29
<PAGE>   78
 
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.
 
                                      B-30
<PAGE>   79
                           PORTFOLIO OF INVESTMENTS
 
KEMPER HORIZON 20+ PORTFOLIO
 
Portfolio of Investments at July 31, 1996
(Dollars in thousands)
 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------------- 
<S>                                    <C>                                                 <C>          <C>
                                                                                           PRINCIPAL
U.S. GOVERNMENT OBLIGATIONS                                                                  AMOUNT       VALUE
U.S. TREASURY NOTES--19.7%             5.00-5.875%, 1998                                    $   535     $   527
                                       7.125-8.125%, 1998                                       193         198
                                       8.875-9.25%, 1998                                        880         927
                                       5.00%, 1999                                              295         286
                                       8.00%, 1999                                              180         188
                                       8.875-9.125%, 1999                                     1,050       1,117
                                       6.75%, 2000                                              345         348
                                       -----------------------------------------------------------------------------
                                       TOTAL U.S. GOVERNMENT OBLIGATIONS
                                       (Cost: $3,627)                                                     3,591
- --------------------------------------------------------------------------------------------------------------------
                                                                                             NUMBER OF
COMMON STOCKS                                                                                   SHARES    VALUE
BASIC INDUSTRIES--5.5%                 AK Steel Holding Corp.                                   400shs. $    15
                                       AMCOL International                                      800          12
                                       Bayer A.G.                                             1,860          63
                                       Crown Cork & Seal Co.                                  1,600          71
                                       Hoganas AB                                             4,270         141
                                       Jacobs Engineering Group                               1,600          32
                                       Louisiana-Pacific Corp.                                1,000          20
                                       Mitsubishi Heavy Industries                           19,200         163
                                    (a)Philip Environmental                                   9,210          71
                                       Renong Berhad                                         49,000          71
                                       Rexene Corp.                                           1,400          17
                                       Sumitomo Metal Industries                             26,000          78
                                       Technip S.A.                                             861          77
                                       Toray Industries                                      25,100         171
                                       -----------------------------------------------------------------------------
                                                                                                          1,002
- --------------------------------------------------------------------------------------------------------------------
CAPITAL GOODS--6.5%                    Blount, Inc., "A"                                      1,100          33
                                       CAE Industries                                        15,645         131
                                       Emerson Electric Co.                                   1,000          84
                                       General Electric Co.                                   3,100         255
                                       B. F. Goodrich Co.                                     2,600          94
                                       IHC Caland N.V.                                        1,105          54
                                       Intermet Corp.                                           700           9
                                       Mannesmann A.G.                                          125          45
                                       Matsushita Electric Industrial Co., Ltd.              10,000         174
                                    (a)Mueller Industries, Inc.                                 600          20
                                       Murata Manufacturing                                   2,400          86
                                       PHH Corporation                                          500          27
                                       Quanex Corp.                                             400           8
                                       Simpson Industries                                       900           8
                                       Stewart & Stevenson Services                             800          17
                                       Walbro Corp.                                             400           8
                                       Xerox Corporation                                      1,500          76
                                       York International Corp.                               1,300          61
                                       -----------------------------------------------------------------------------
                                                                                                          1,190
- --------------------------------------------------------------------------------------------------------------------
CONSUMER CYCLICALS--11.0%              J. Baker, Inc.                                         1,600          10
                                       Bulgari Spa                                            1,973          30
                                    (a)Burlington Coat Factory                                  700           7
                                       Burton Group PLC                                      43,427         101
                                       Carnival Corp.                                         3,460          93
                                       Carrefour S.A.                                           181          99
                                       Cato Corp.                                             1,700          10
                                       Christian Dior S.A.                                      171          22
</TABLE>
 
 10
 
<PAGE>   80
PORTFOLIO OF INVESTMENTS

(Dollars in thousands)  
<TABLE>
<CAPTION>

- --------------------------------------------------------------------------------------------------------------------
                                                                                  NUMBER OF SHARES       VALUE
<S>                                <C>                                                      <C>         <C>
                                    (a)Circle K Corp.                                         3,000     $   141
                                       Circuit City Stores                                    2,100          66
                                    (a)Consolidated Stores Corp.                              3,350         111
                                       Dayton Hudson Corp.                                      900          27
                                       Dillard Department Stores                                500          16
                                       Walt Disney Company                                    2,330         130
                                       Dixons Group PLC                                      15,000         116
                                       Ethan Allen Interiors                                  1,600          35
                                       Fedders Corporation                                    1,200           7
                                    (a)Fruit of The Loom                                      1,100          28
                                       Gaylord Entertainment Co.                                945          24
                                       Gucci Group N.V.                                         792          43
                                       Haggar Apparel Co.                                       800          11
                                       Heilig-Meyers                                            500          10
                                       Liz Claiborne                                            500          16
                                       Moet Hennessy Louis Vuitton                              217          48
                                    (a)North Face Inc.                                        4,800          74
                                       Philips N.V., ADR                                      2,000          66
                                       Randstad Holding N.V.                                    810          59
                                    (a)Sports & Recreation                                    2,400          16
                                       Tabcorp Holdings Ltd.                                 16,690          73
                                       TJX Companies, Inc.                                    2,000          60
                                       Tokyu Department Store                                 3,000          19
                                    (a)Toys R Us                                              3,700          98
                                       UST, Inc.                                              5,100         170
                                       V.F. Corp.                                               900          50
                                       Wal-Mart Stores                                        2,600          62
                                       WM-data AB                                             1,000          61
                                       -----------------------------------------------------------------------------
                                                                                                          2,009
- --------------------------------------------------------------------------------------------------------------------
CONSUMER DURABLES--2.5%                Fleetwood Enterprises                                    400          12
                                       Ford Motor Co.                                         2,200          72
                                       Honda Motor Co., Ltd.                                  8,500         205
                                       Leggett & Platt Incorporated                           3,500          91
                                       Magna International Inc., "A"                          1,450          65
                                       -----------------------------------------------------------------------------
                                                                                                            445
- --------------------------------------------------------------------------------------------------------------------
CONSUMER STAPLES--8.4%              (a)Boston Market                                            900          24
                                    (a)Copart, Inc.                                           2,100          34
                                    (a)Cox Communications                                     6,500         124
                                       Heineken N.V.                                            453         102
                                       Independent Newspapers Ltd.                           14,796          70
                                    (a)Insurance Auto Auctions                                1,600          16
                                    (a)Interim Services                                         600          22
                                       Kerry Group PLC                                        9,663          93
                                       Koninklijke Ahold N.V.                                 2,048         104
                                    (a)Liberty Media Group, "A"                               5,690         125
                                    (a)Lone Star Steakhouse & Saloon                          4,000         126
                                    (a)Outback Steakhouse                                       850          22
                                       Philip Morris Companies                                2,370         248
                                       Procter & Gamble Co.                                   1,000          89
                                       Pryca Centros                                          1,978          47
                                       Reed International PLC                                 3,990          67
                                    (a)Revlon, Inc.                                           1,500          42
                                       Shaw Communications                                    4,200          28
                                       Warnaco Group, "A"                                     3,800          90
                                       Wendy's International                                  3,900          66
                                       -----------------------------------------------------------------------------
                                                                                                          1,539
- --------------------------------------------------------------------------------------------------------------------
</TABLE>
 
                                                                              11
 
<PAGE>   81
PORTFOLIO OF INVESTMENTS
 
(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------
                                                                                  NUMBER OF SHARES       VALUE
<S>                               <C>                                                        <C>        <C>     
ENERGY--4.6%                           AMOCO Corp.                                            1,800     $   120
                                       Atlantic Richfield Co.                                 1,100         128
                                       British Petroleum Co.                                  8,600          78
                                       Columbia Gas System                                    2,800         150
                                       Elf Aquitaine                                            944          67
                                       Enron Corp.                                            1,350          53
                                       Enron Global Power & Pipeline LLC                        300           8
                                       Giant Industries                                       1,100          16
                                       KCS Energy                                               800          24
                                       Petro-Canada                                          10,540          67
                                       Seitel, Inc.                                             300           9
                                    (a)Tesoro Petroleum Corp.                                 1,700          20
                                       Union Texas Petroleum Holdings                         4,840          91
                                       -----------------------------------------------------------------------------
                                                                                                            831
- --------------------------------------------------------------------------------------------------------------------
FINANCE--17.8%                         Aetna Life Insurance Company
                                        common                                                  112           7
                                       preferred class C                                         37           2
                                       H.F. Ahmanson & Co.                                      300           8
                                       Allstate Corp.                                           650          29
                                       American General Corp.                                 2,100          73
                                       American International Group, Inc.                       600          56
                                       Associates First Capital                                 300          11
                                       Banco Bilbao Vizcaya                                   1,857          78
                                       Banc One Corporation                                   2,100          73
                                       BankAmerica Corp.                                        900          72
                                       Bank of Ireland                                       10,022          70
                                       Bank of New York Inc.                                    500          26
                                       Bankers Trust New York Corp.                           1,400         101
                                       Barnett Banks                                          1,000          61
                                       Boatmen's Bancshares                                   1,740          70
                                       Cheung Kong Holding Ltd.                              12,000          82
                                       CITIC Pacific Ltd.                                    21,000          87
                                       Compass Bancshares                                       500          16
                                       Crestar Financial Corp.                                  700          40
                                       Cullen Frost Bankers                                     300           8
                                       Dean Witter Discover                                   1,470          75
                                       Development Bank of Singapore                         30,000         340
                                       Federal Home Loan Mortgage Corp.                       1,800         152
                                       Federal National Mortgage Association                  8,130         258
                                       First Commerce Corp.                                     400          14
                                       First Chicago NBD Corp.                                1,700          65
                                       First Financial Caribbean Corp.                          800          17
                                       First Financial Corp., Wisconsin                         400           9
                                       First Union Corp.                                        700          44
                                       First USA                                              1,590          78
                                       Fleet Financial Group, Inc.                            1,500          61
                                       Great Western Financial Corp.                            500          12
                                    (a)Imperial Credit Industries                             1,000          29
                                       Integon Corp.                                            800          16
                                       Internationale Nederlanden Groep                       2,125          65
                                       ITT Hartford Group                                     1,900         100
                                       KeyCorp                                                1,300          50
                                       Krung Thai Bank Public Co. Ltd.                       10,800          42
                                       Lawyers Title Insurance Corp.                            500          10
                                       Liberty Bancorp                                          300          10
                                       Long Island Bancorp                                      600          17
                                       MBIA Inc.                                                660          50
                                       MGIC Investment Corp.                                  1,200          72
                                       Meadowbrook Insurance Group                              800          21
</TABLE>
 
 12
 
<PAGE>   82
PORTFOLIO OF INVESTMENTS

(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------
                                                                                  NUMBER OF SHARES       VALUE
<S>                                    <C>                                                   <C>        <C>     
                                       Mercer International SBI                               1,500     $    18
                                       J.P. Morgan & Company                                    600          52
                                       NationsBank                                            1,230         106
                                       Northside Savings Bank                                   300          13
                                       Norwest Corp.                                            300          11
                                       PNC Bank, N.A.                                         3,000          87
                                       Providian Corp.                                        1,086          43
                                       Roosevelt Financial Group                              2,800          45
                                       Signet Banking Corp.                                   2,200          47
                                       Sumitomo Trust & Banking                               9,000         118
                                       Travelers Group                                        2,430         103
                                       T.R. Financial Corp.                                     500          14
                                       Webb Del Corp.                                         1,100          19
                                       -----------------------------------------------------------------------------
                                                                                                          3,253
- --------------------------------------------------------------------------------------------------------------------
HEALTH CARE--7.4%                      Abbott Laboratories                                    2,300         101
                                       Astra AB
                                        ADR                                                   2,800         118
                                       common                                                 1,404          59
                                    (a)British Bio-Technology Group                           1,320          42
                                       Ciba-Geigy Ltd.                                           99         118
                                       Glaxo Wellcome PLC
                                        ADR                                                   3,200          89
                                        common                                                8,903         124
                                    (a)Humana, Inc.                                           4,100          69
                                       Johnson & Johnson                                      1,600          76
                                       Eli Lilly & Co.                                          300          17
                                       Mallinckrodt Group                                     2,000          75
                                       Merck & Co., Inc.                                      1,300          84
                                    (a)Patterson Dental Co.                                     800          23
                                       Pharmacia-Upjohn Inc.                                    400          17
                                    (a)Physician Sales & Service                                900          16
                                       Roche Holding AG                                          21         103
                                    (a)St. Jude Medical                                       2,400          81
                                       Sandoz, Ltd.                                           2,100         117
                                    (a)Tenet Healthcare Corporation                           1,100          21
                                       -----------------------------------------------------------------------------
                                                                                                          1,350
- --------------------------------------------------------------------------------------------------------------------
TECHNOLOGY--11.0%                      Allen Group                                            1,000          15
                                    (a)Alternative Resources Corporation                      1,100          32
                                    (a)Applied Materials, Inc.                                1,460          35
                                    (a)Asyst Technologies                                       300           6
                                    (a)Atmel Corporation                                      1,420          39
                                    (a)Burr Brown Corp.                                         400           7
                                       Canon Inc.                                             8,000         151
                                    (a)Cisco Systems                                          1,950         101
                                    (a)Compaq Computer Corp.                                  3,320         182
                                    (a)Cyrix                                                    100           1
                                    (a)Dell Computer Corp.                                    1,100          61
                                    (a)Diamond Multimedia System                                200           1
                                       Electronic Data Systems                                1,200          63
                                    (a)Electroglas                                              900          11
                                    (a)EXAR Corp.                                             1,200          16
                                    (a)Gateway 2000                                           1,500          60
                                       Getronics N.V.                                         4,380          98
                                       Harris Corp.                                           1,790         103
                                       Hewlett-Packard, Co.                                   2,000          88
                                    (a)In Focus Systems                                         200           3
                                       Intel Corp.                                            2,450         184
</TABLE>
 
                                                                              13
 
<PAGE>   83
PORTFOLIO OF INVESTMENTS

(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------
                                                                                  NUMBER OF SHARES       VALUE
<S>                                <C>                                                 <C>          <C>    
                                       Kyocera Corp.                                          1,500     $   103
                                    (a)Lam Research Corp.                                     1,640          36
                                       Linear Technology Corp.                                1,330          42
                                       LM Ericsson Telephone Co. "B"                          2,051          41
                                    (a)Maxim Integrated Products                              1,550          44
                                    (a)Novellus Systems                                       1,020          37
                                    (a)Proxima Corp.                                          1,100          12
                                    (a)Read-Rite Corp.                                          900          10
                                       Scientific Atlanta                                     2,000          27
                                    (a)Silicon Graphics                                       1,330          31
                                    (a)Softkey International                                  4,000          74
                                    (a)Tech-Sym Corporation                                     300           8
                                       Texas Instruments                                      2,130          92
                                       3Com Corporation                                       2,320          91
                                    (a)US Robotics                                            1,750          94
                                    (a)Western Digital Corp.                                    300           9
                                       -----------------------------------------------------------------------------
                                                                                                          2,008
- --------------------------------------------------------------------------------------------------------------------
TRANSPORTATION--1.8%                   Airborne Freight Corp.                                   700          15
                                       Canadian National Railway Company                      6,126         112
                                       Nippon Express                                        14,000         132
                                       Swire Pacific Ltd.                                     8,500          73
                                       -----------------------------------------------------------------------------
                                                                                                            332
- --------------------------------------------------------------------------------------------------------------------
UTILITIES--2.7%                     (a)AirTouch Communications                                2,270          62
                                       Atlantic Tele-Network                                  1,400          29
                                       Empresa Nacional de Electricidad S.A.                    957          56
                                       Iberdrola, S.A.                                        3,750          34
                                    (a)Paging Network, Inc.                                   3,360          65
                                       SBC Communications Inc.                                1,600          78
                                       Telecom Italia Spa                                    17,399          36
                                       Telefonica Del Puru, ADR                               3,750          82
                                       Veba, A.G.                                               905          46
                                       -----------------------------------------------------------------------------
                                                                                                            488
                                       -----------------------------------------------------------------------------
                                       TOTAL COMMON STOCKS--79.2%
                                       (Cost: $14,972)                                                   14,447
                                       -----------------------------------------------------------------------------
 
<CAPTION>
                                                                                            PRINCIPAL
                                                                                              AMOUNT       VALUE        
- --------------------------------------------------------------------------------------------------------------------
<S>                                        <C>                                             <C>           <C>              
MONEY MARKET                               Yield--5.25% to 5.44%                                                          
INSTRUMENTS--4.9%                                                                                                         
                                       Due--August to September 1996                                                      
                                       (Cost: $898)                                         $   900         898           
                                       -----------------------------------------------------------------------------      
                                       TOTAL INVESTMENTS--103.8%                                                          
                                       (Cost: $19,497)                                                   18,936           
                                       -----------------------------------------------------------------------------      
                                       LIABILITIES, LESS CASH AND OTHER                                                   
                                       ASSETS--(3.8)%                                                      (685)          
                                       -----------------------------------------------------------------------------      
                                       NET ASSETS--100%                                                 $18,251           
                                       -----------------------------------------------------------------------------      
</TABLE>                               
 
 NOTES TO PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing securities.
 
Based on the cost of investments of $19,497,000 for federal income tax purposes
at July 31, 1996, the gross unrealized appreciation was $242,000, the gross
unrealized depreciation was $803,000 and the net unrealized depreciation on
investments was $561,000.
 
See accompanying Notes to Financial Statements.
 
 14
 
<PAGE>   84
PORTFOLIO OF INVESTMENTS
 
KEMPER HORIZON 10+ PORTFOLIO
 
Portfolio of Investments at July 31, 1996
(Dollars in thousands)
 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------
                                                                                           PRINCIPAL
                                                                                           AMOUNT       VALUE
<S>                                    <C>                                                 <C>          <C>     
U.S. GOVERNMENT OBLIGATIONS                                                                
U.S. TREASURY NOTES--39.0%             7.50%, 1997                                          $   300     $   303
                                       5.00-6.125%, 1998                                      1,009         997
                                       7.125-8.125%, 1998                                       743         764
                                       8.875-9.25%, 1998                                      2,210       2,330
                                       5.00%, 1999                                              487         472
                                       8.00%, 1999                                              290         302
                                       8.875-9.125%, 1999                                     1,170       1,245
                                       6.75%, 2000                                              950         958
                                       -----------------------------------------------------------------------------
                                       TOTAL U.S. GOVERNMENT OBLIGATIONS
                                       (Cost: $7,441)                                                     7,371
                                       -----------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------
                                                                                           NUMBER OF
                                                                                            SHARES       VALUE
<S>                                    <C>                                                 <C>          <C>     
COMMON STOCKS                                                                               
BASIC INDUSTRIES--3.7%                 AK Steel Holding Corp.                                   400shs. $    15
                                       AMCOL International                                      700          10
                                       Bayer A.G.                                             1,240          42
                                       Crown Cork & Seal Co.                                  1,200          53
                                       Hoganas AB                                               710          23
                                       Jacobs Engineering Group                               1,300          26
                                       Louisiana-Pacific Corp.                                  700          14
                                       Mitsubishi Heavy Industries                           16,200         137
                                    (a)Philip Environmental                                   9,280          72
                                       Renong Berhad                                         27,000          39
                                       Rexene Corp.                                           1,300          16
                                       Sumitomo Metal Industries                             20,000          60
                                       Technip S.A.                                             667          59
                                       Toray Industries                                      19,500         133
                                       -----------------------------------------------------------------------------
                                                                                                            699
- --------------------------------------------------------------------------------------------------------------------
CAPITAL GOODS--4.7%                    Blount, Inc., "A"                                      1,000          30
                                       CAE Industries                                         9,345          78
                                       Emerson Electric Co.                                     600          51
                                       General Electric Co.                                   2,200         181
                                       B. F. Goodrich Co.                                     2,100          76
                                       IHC Caland N.V.                                          887          43
                                       Intermet Corp.                                           600           8
                                       Matsushita Electric Industrial Co., Ltd.               7,000         122
                                    (a)Mueller Industries, Inc.                                 600          20
                                       Murata Manufacturing                                   2,400          86
                                       PHH Corporation                                          500          27
                                       Quanex Corp.                                             400           8
                                       Simpson Industries                                       900           8
                                       Stewart & Stevenson Services                             700          15
                                       Walbro Corp.                                             400           8
                                       Xerox Corporation                                      1,500          76
                                       York International Corp.                               1,000          47
                                       -----------------------------------------------------------------------------
                                                                                                            884
- --------------------------------------------------------------------------------------------------------------------
CONSUMER CYCLICALS--9.0%               J. Baker, Inc.                                         1,500          10
                                       Bulgari Spa                                            1,602          24
                                    (a)Burlington Coat Factory                                  400           4
                                       Burton Group PLC                                      45,022         104
                                       Carnival Corp.                                         2,800          75
                                       Carrefour S.A.                                           142          78
                                       Cato Corp.                                             1,600          10
                                       Christian Dior S.A.                                      139          18
</TABLE>
 
                                                                              15
 
<PAGE>   85
PORTFOLIO OF INVESTMENTS
 
(Dollars in thousands)

<TABLE>
<CAPTION>
                                                                                           
- --------------------------------------------------------------------------------------------------------------------
                                                                                     NUMBER OF  SHARES       VALUE
<S>                                    <C>                                                  <C>         <C>     

                                    (a)Circle K Corp.                                         3,000     $   141
                                       Circuit City Stores                                    1,500          47
                                    (a)Consolidated Stores Corp.                              2,650          87
                                       Dayton Hudson Corp.                                      600          18
                                       Dillard Department Stores                                400          13
                                       Walt Disney Company                                    1,970         110
                                       Dixons Group PLC                                      15,000         116
                                       Ethan Allen Interiors                                  1,250          27
                                       Fedders Corporation                                    1,100           6
                                    (a)Fruit of The Loom                                        700          18
                                       Gaylord Entertainment Co.                                945          24
                                       Gucci Group N.V.                                         528          29
                                       Haggar Apparel Co.                                       700           9
                                       Heilig-Meyers                                            900          18
                                       Liz Claiborne                                            400          13
                                       Moet Hennessy Louis Vuitton                              383          85
                                    (a)North Face Inc.                                        3,800          59
                                       Philips N.V., ADR                                      1,400          46
                                       Randstad Holding N.V.                                    600          44
                                       (a)Sports & Recreation                                 2,300          16
                                       Tabcorp Holdings Ltd.                                  7,509          33
                                       TJX Companies, Inc.                                    1,600          48
                                    (a)Toys R Us                                              2,600          69
                                       UST, Inc.                                              5,000         166
                                       V.F. Corp.                                               700          39
                                       Wal-Mart Stores                                        2,400          58
                                       WM-data AB                                               700          43
                                       -----------------------------------------------------------------------------
                                                                                                          1,705
- --------------------------------------------------------------------------------------------------------------------
CONSUMER DURABLES--1.8%                Edaran Otomobil Nasional Berhad                        1,000          10
                                       Fleetwood Enterprises                                    500          15
                                       Ford Motor Co.                                         2,300          75
                                       Honda Motor Co., Ltd.                                  4,600         111
                                       Leggett & Platt Incorporated                           2,800          73
                                       Magna International Inc., "A"                          1,120          50
                                       -----------------------------------------------------------------------------
                                                                                                            334
- --------------------------------------------------------------------------------------------------------------------
CONSUMER STAPLES--6.7%              (a)Boston Market                                            850          23
                                    (a)Copart, Inc.                                           1,600          26
                                    (a)Cox Communications Inc.                                5,000          95
                                       Heineken N.V.                                            432          97
                                       Independent Newspapers Ltd.                           11,802          56
                                    (a)Insurance Auto Auctions                                1,500          15
                                    (a)Interim Services                                         600          22
                                       Kerry Group PLC                                        8,042          77
                                       Koninklijke Ahold N.V.                                 1,747          89
                                    (a)Liberty Media Group, "A"                               3,300          73
                                    (a)Lone Star Steakhouse & Saloon                          2,500          78
                                    (a)Outback Steakhouse                                       780          20
                                       Philip Morris Companies                                1,830         191
                                       Procter & Gamble Co.                                   1,200         107
                                       Pryca Centros                                          1,517          36
                                       Reed International PLC                                 3,145          53
                                    (a)Revlon, Inc.                                           1,200          34
                                       Shaw Communications                                    1,800          12
                                       Warnaco Group, "A"                                     3,200          76
                                       Wendy's International                                  5,000          85
                                       -----------------------------------------------------------------------------
                                                                                                          1,265
- --------------------------------------------------------------------------------------------------------------------
</TABLE>
 
 16
 
<PAGE>   86
PORTFOLIO OF INVESTMENTS

(Dollars in thousands)                           
 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------------
                                                                                       NUMBER OF SHARES      VALUE
<S>                                    <C>                                                  <C>         <C>     
ENERGY--3.3%                           AMOCO Corp.                                            1,300     $    87
                                       Atlantic Richfield Co.                                   800          93
                                       British Petroleum Co.                                  6,900          63
                                       Columbia Gas System                                    1,800          97
                                       Elf Aquitaine                                            674          48
                                       Enron Corp.                                              950          37
                                       Enron Global Power & Pipeline LLC                        300           7
                                       Giant Industries                                       1,100          16
                                       KCS Energy                                               600          18
                                       Petro-Canada                                          10,030          64
                                       Seitel, Inc.                                             300           9
                                    (a)Tesoro Petroleum Corp.                                 1,600          18
                                       Union Texas Petroleum Holdings                         3,920          74
                                       -----------------------------------------------------------------------------
                                                                                                            631
- --------------------------------------------------------------------------------------------------------------------
FINANCE--13.1%                         Aetna Life Insurance Company
                                        common                                                   67           4
                                       preferred class C                                         22           1
                                       H.F. Ahmanson & Co.                                      300           8
                                       Allstate Corp.                                           700          31
                                       American General Corp.                                 1,100          38
                                       American International Group, Inc.                       400          38
                                       Associates First Capital                                 880          34
                                       Banco Bilbao Vizcaya                                   1,326          56
                                       Banc One Corporation                                   1,500          52
                                       BankAmerica Corp.                                        700          56
                                       Bank of Ireland                                        7,897          55
                                       Bank of New York Inc.                                    400          21
                                       Bankers Trust New York Corp.                             400          29
                                       Barnett Banks                                            700          43
                                       Boatmen's Bancshares                                     700          28
                                       Cheung Kong Holding Ltd.                               7,000          48
                                       CITIC Pacific Ltd.                                    11,000          45
                                       Compass Bancshares                                       500          16
                                       Crestar Financial Corp.                                  500          29
                                       Cullen Frost Bankers                                     300           8
                                       Dean Witter Discover                                   1,280          65
                                       Development Bank of Singapore                         23,000         260
                                       Federal Home Loan Mortgage Corp.                       1,400         118
                                       Federal National Mortgage Association                  6,320         201
                                       First Commerce Corp.                                     400          14
                                       First Chicago NBD Corp.                                1,300          50
                                       First Financial Caribbean Corp.                          500          11
                                       First Financial Corp., Wisconsin                         400           9
                                       First Union Corp.                                      1,200          76
                                       First USA                                              2,100         103
                                       Fleet Financial Group, Inc.                            1,200          49
                                       Great Western Financial Corp.                            400           9
                                    (a)Imperial Credit Industries                               900          26
                                       Integon Corp.                                            700          14
                                       Internationale Nederlanden Groep                       2,170          66
                                       ITT Hartford Group                                     1,250          66
                                       KeyCorp                                                1,700          66
                                       Krung Thai Bank Public Co. Ltd.                        6,800          26
                                       Lawyers Title Insurance Corp.                            400           8
                                       Liberty Bancorp                                          300          10
                                       Long Island Bancorp                                      600          17
                                       MBIA Inc.                                                670          51
                                       MGIC Investment Corp.                                  1,000          60
                                       Meadowbrook Insurance Group                              800          21
</TABLE>
 
                                                                              17
 
<PAGE>   87
PORTFOLIO OF INVESTMENTS

(Dollars in thousands)  
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

                                                                                   NUMBER OF SHARES       VALUE
<S>                                    <C>                                                   <C>        <C>
                                       Mercer International SBI                               1,400     $    17
                                       J.P. Morgan & Company                                    200          17
                                       NationsBank                                              800          69
                                       Northside Savings Bank                                   300          13
                                       Norwest Corp.                                            300          11
                                       PNC Bank, N.A.                                         1,800          52
                                       Providian Corp.                                          700          28
                                       Roosevelt Financial Group                              2,600          42
                                       Signet Banking Corp.                                   1,400          30
                                       Sumitomo Trust & Banking                               4,000          52
                                       Travelers Group                                        1,650          70
                                       T.R. Financial Corp.                                     500          14
                                       Webb Del Corp.                                         1,100          19
                                       -----------------------------------------------------------------------------
                                                                                                          2,470
- --------------------------------------------------------------------------------------------------------------------
HEALTH CARE--5.4%                      Abbott Laboratories                                    1,200          53
                                       Astra AB
                                        ADR                                                   2,100          89
                                        common                                                1,414          59
                                    (a)British Bio-Technology Group                           1,179          38
                                       Ciba-Geigy Ltd.                                           79          94
                                       Glaxo Wellcome PLC
                                        ADR                                                   2,100          58
                                        common                                                6,046          84
                                    (a)Humana, Inc.                                           3,000          50
                                       Johnson & Johnson                                      1,200          57
                                       Eli Lilly & Co.                                          300          17
                                       Mallinckrodt Group                                     1,400          52
                                       Merck & Co., Inc.                                      1,100          71
                                    (a)Patterson Dental Co.                                     800          23
                                       Pharmacia-Upjohn Inc.                                    300          12
                                    (a)Physician Sales & Service                                900          16
                                       Roche Holding AG                                          17          89
                                    (a)St. Jude Medical                                       1,800          61
                                       Sandoz, Ltd.                                           1,670          93
                                    (a)Tenet Healthcare Corporation                             700          14
                                       -----------------------------------------------------------------------------
                                                                                                          1,030
- --------------------------------------------------------------------------------------------------------------------
TECHNOLOGY--8.9%                       Allen Group                                            1,000          15
                                    (a)Alternative Resources Corporation                        850          24
                                    (a)Applied Materials, Inc.                                1,140          27
                                    (a)Asyst Technologies                                       400           8
                                    (a)Atmel Corporation                                      1,070          30
                                    (a)Burr Brown Corp.                                         400           7
                                       Canon Inc.                                             5,200          98
                                    (a)Cisco Systems                                          1,600          83
                                    (a)Compaq Computer Corp.                                  2,680         147
                                    (a)Cyrix                                                    100           1
                                    (a)Dell Computer Corp.                                      750          42
                                    (a)Diamond Multimedia System                                200           1
                                       Electronic Data Systems                                  800          42
                                    (a)Electroglas                                              900          11
                                    (a)EXAR Corp.                                             1,100          15
                                    (a)Gateway 2000                                           1,000          40
                                       Getronics N.V.                                         3,136          70
                                       Harris Corp.                                           1,440          83
                                       Hewlett-Packard, Co.                                   1,600          70
                                    (a)In Focus Systems                                         200           3
                                       Intel Corp.                                            2,550         192
</TABLE>
 
 18
 
<PAGE>   88
PORTFOLIO OF INVESTMENTS


(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

                                                                                  NUMBER OF SHARES       VALUE
<S>                                    <C>                                                   <C>        <C>
                                       Kyocera Corp.                                          2,100     $   144
                                    (a)Lam Research Corp.                                     1,270          28
                                       Linear Technology Corp.                                  930          29
                                       LM Ericsson Telephone Co. "B"                          1,619          32
                                    (a)Maxim Integrated Products                              1,205          34
                                    (a)Novellus Systems                                         810          29
                                    (a)Proxima Corp.                                            800           9
                                    (a)Read-Rite Corp.                                          800           9
                                       Scientific Atlanta                                     1,750          23
                                    (a)Silicon Graphics                                       1,200          28
                                    (a)Softkey International                                  3,000          56
                                    (a)Tech-Sym Corporation                                     300           8
                                       Texas Instruments                                      1,650          71
                                       3Com Corporation                                       2,000          79
                                    (a)US Robotics                                            1,600          86
                                    (a)Western Digital Corp.                                    400          12
                                       -----------------------------------------------------------------------------
                                                                                                          1,686
- --------------------------------------------------------------------------------------------------------------------
TRANSPORTATION--1.4%                   Airborne Freight Corp.                                   700          15
                                       Canadian National Railway Company                      5,245          96
                                       Nippon Express                                        10,000          95
                                       Swire Pacific Ltd.                                     7,000          60
                                       -----------------------------------------------------------------------------
                                                                                                            266
- --------------------------------------------------------------------------------------------------------------------
UTILITIES--2.2%                     (a)Airtouch Communications                                1,650          45
                                       Atlantic Tele-Network                                  1,300          27
                                       Empresa Nacional de Electricidad S.A.                    638          37
                                       Iberdrola, S.A.                                        2,900          26
                                    (a)Paging Network, Inc.                                   2,400          46
                                       SBC Communications Inc.                                1,200          59
                                       Telecom Italia Spa                                    49,904         104
                                       Telefonica Del Puru, ADR                               1,750          38
                                       Veba, A.G.                                               713          36
                                       -----------------------------------------------------------------------------
                                                                                                            418
                                       -----------------------------------------------------------------------------
                                       TOTAL COMMON STOCKS--60.2%
                                       (Cost: $11,707)                                                   11,388
                                       -----------------------------------------------------------------------------
 
<CAPTION>
                                                                                           PRINCIPAL
                                                                                            AMOUNT       VALUE
- --------------------------------------------------------------------------------------------------------------------
<S>                                    <C>                                                 <C>          <C>     
MONEY MARKET                           
INSTRUMENT--1.0%
                                       Yield--5.28%
                                       Due--September 1996
                                       (Cost: $199)                                         $   200         199
                                       -----------------------------------------------------------------------------
                                       TOTAL INVESTMENTS--100.2%
                                       (Cost: $19,347)                                                   18,958
                                       -----------------------------------------------------------------------------
                                       LIABILITIES, LESS CASH AND OTHER ASSETS--(.2)%                       (46)
                                       -----------------------------------------------------------------------------
                                       NET ASSETS--100%                                                 $18,912
                                       -----------------------------------------------------------------------------
</TABLE>
 
 NOTES TO PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing securities.
 
Based on the cost of investments of $19,347,000 for federal income tax purposes
at July 31, 1996, the gross unrealized appreciation was $239,000, the gross
unrealized depreciation was $628,000 and the net unrealized depreciation on
investments was $389,000.
 
See accompanying Notes to Financial Statements.
 
                                                                              19
 
<PAGE>   89
 
KEMPER HORIZON 5 PORTFOLIO
 
Portfolio of Investments at July 31, 1996
(DOLLARS IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                                           PRINCIPAL
<S>                                    <C>                                                 <C>          <C>     <C>
 U.S. GOVERNMENT OBLIGATIONS                                                                AMOUNT       VALUE
U.S. TREASURY NOTES--57.0%             5.00-5.625%, 1998                                    $   888     $   875
                                       7.125-8.125%, 1998                                       618         635
                                       8.875-9.25%, 1998                                      1,475       1,555
                                       5.00%, 1999                                              820         795
                                       8.00%, 1999                                              460         480
                                       8.875-9.125%, 1999                                     1,250       1,331
                                       6.75%, 2000                                              500         504
                                       -----------------------------------------------------------------------------
                                       TOTAL U.S. GOVERNMENT OBLIGATIONS
                                       (Cost: $6,241)                                                     6,175
                                       -----------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                           NUMBER OF
<S>                                    <C>                                                 <C>          <C>     <C>
            COMMON STOCKS                                                                   SHARES       VALUE
BASIC INDUSTRIES--2.7%                 AK Steel Holding Corp.                                   100shs. $     4
                                       AMCOL International                                      200           3
                                       Bayer A.G.                                               460          16
                                       Crown Cork & Seal Co.                                    450          20
                                       Hoganas AB                                             1,420          47
                                       Jacobs Engineering Group                                 400           8
                                       Louisiana-Pacific Corp.                                  300           6
                                       Mitsubishi Heavy Industries                            6,600          56
                                       (a)Philip Environmental                                  660           5
                                       Renong Berhad                                         17,000          25
                                       Rexene Corp.                                             400           5
                                       Sumitomo Metal Industries                              8,000          24
                                       Technip S.A.                                             236          21
                                       Toray Industries                                       8,400          57
                                       -----------------------------------------------------------------------------
                                                                                                            297
- --------------------------------------------------------------------------------------------------------------------
CAPITAL GOODS--3.0%                    Blount, Inc., "A"                                        300           9
                                       CAE Industries                                         2,060          17
                                       Emerson Electric Co.                                     200          17
                                       General Electric Co.                                     900          74
                                       B. F. Goodrich Co.                                       800          29
                                       Intermet Corp.                                           200           3
                                       Matsushita Electric Industrial Co., Ltd.               3,000          52
                                       (a)Mueller Industries, Inc.                              200           7
                                       Murata Manufacturing                                   1,200          43
                                       PHH Corporation                                          100           5
                                       Quanex Corp.                                             100           2
                                       Simpson Industries                                       300           3
                                       Stewart & Stevenson Services                             200           4
                                       Walbro Corp.                                             100           2
                                       Xerox Corporation                                        600          30
                                       York International Corp.                                 500          23
                                       -----------------------------------------------------------------------------
                                                                                                            320
- --------------------------------------------------------------------------------------------------------------------
CONSUMER CYCLICALS--4.9%               J. Baker, Inc.                                           500           3
                                       Bulgari Spa                                            1,158          18
                                       (a)Burlington Coat Factory                               200           2
                                       Burton Group PLC                                       9,870          23
                                       Carnival Corp.                                         1,100          30
                                       Carrefour S.A.                                            55          30
                                       Cato Corp.                                               500           3
                                       Christian Dior S.A.                                      109          14
</TABLE>
 
 20
 
                                                   PORTFOLIO OF INVESTMENTS
<PAGE>   90
PORTFOLIO OF INVESTMENTS

(Dollars in thousands)   
 
<TABLE>
<CAPTION>
- -------------------------------------------------------------------------------------------------------------------

                                                                                   NUMBER OF SHARES       VALUE
<S>                                    <C>                                                     <C>      <C>
                                       Circuit City Stores                                      600     $    19
                                    (a)Consolidated Stores Corp.                                950          31
                                       Dayton Hudson Corp.                                      300           9
                                       Dillard Department Stores                                200           6
                                       Walt Disney Company                                      700          39
                                       Ethan Allen Interiors                                    500          11
                                       Fedders Corporation                                      300           2
                                    (a)Fruit of The Loom                                        300           8
                                       Gaylord Entertainment Co.                                495          13
                                       Gucci Group N.V.                                         176          10
                                       Haggar Apparel Co.                                       200           3
                                       Heilig-Meyers                                            900          18
                                       Liz Claiborne                                            200           7
                                       Moet Hennessy Louis Vuitton                               60          13
                                    (a)North Face Inc.                                        1,400          22
                                       Philips N.V., ADR                                        400          13
                                       Randstad Holding N.V.                                    140          10
                                       (a)Sports & Recreation                                   700           5
                                       Tabcorp Holdings Ltd.                                  6,873          30
                                       TJX Companies, Inc.                                      600          18
                                    (a)Toys R Us                                              1,080          28
                                       UST, Inc.                                              1,800          60
                                       V.F. Corp.                                               200          11
                                       Wal-Mart Stores                                          600          14
                                       WM-data AB                                               164          10
                                       -----------------------------------------------------------------------------
                                                                                                            533
- --------------------------------------------------------------------------------------------------------------------
CONSUMER DURABLES--1.0%                Fleetwood Enterprises                                    200           6
                                       Ford Motor Co.                                         1,000          32
                                       Honda Motor Co., Ltd.                                  1,200          29
                                       Leggett & Platt Incorporated                           1,100          29
                                       Magna International Inc., "A"                            400          18
                                       -----------------------------------------------------------------------------
                                                                                                            114
- --------------------------------------------------------------------------------------------------------------------
CONSUMER STAPLES--4.3%              (a)Boston Market                                            370          10
                                    (a)Copart, Inc.                                             500           8
                                    (a)Cox Communications                                     1,700          32
                                       Heineken N.V.                                            207          47
                                       Independent Newspapers Ltd.                            4,064          19
                                    (a)Insurance Auto Auctions                                  400           4
                                    (a)Interim Services                                         300          11
                                       Kerry Group PLC                                        1,080          10
                                       Koninklijke Ahold N.V.                                   235          12
                                    (a)Liberty Media Group, "A"                               1,650          36
                                    (a)Lone Star Steakhouse & Saloon                          1,130          35
                                    (a)Outback Steakhouse                                       350           9
                                       Philip Morris Companies                                  760          80
                                       Procter & Gamble Co.                                     500          45
                                       Reed International PLC                                 1,384          23
                                    (a)Revlon, Inc.                                             500          14
                                       Shaw Communications                                      900           6
                                       Warnaco Group, "A"                                     1,550          37
                                       Wendy's International                                  1,600          27
                                       -----------------------------------------------------------------------------
                                                                                                            465
- --------------------------------------------------------------------------------------------------------------------
ENERGY--2.3%                           AMOCO Corp.                                              500          33
                                       Atlantic Richfield Co.                                   300          35
                                       British Petroleum Co.                                  5,200          47
</TABLE>
 
                                                                              21
 
<PAGE>   91
PORTFOLIO OF INVESTMENTS

(Dollars in thousands)  
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

                                                                                   NUMBER OF SHARES       VALUE
<S>                                    <C>                                                    <C>       <C>
                                       Columbia Gas System                                      800     $    43
                                       Elf Aquitaine                                            229          16
                                       Enron Corp.                                              300          12
                                       Enron Global Power & Pipeline LLC                        100           3
                                       Giant Industries                                         300           4
                                       KCS Energy                                               200           6
                                       Petro-Canada                                           1,880          12
                                       Seitel, Inc.                                             100           3
                                    (a)Tesoro Petroleum Corp.                                   500           6
                                       Union Texas Petroleum Holdings                         1,557          29
                                       -----------------------------------------------------------------------------
                                                                                                            249
- --------------------------------------------------------------------------------------------------------------------
FINANCE--9.7%                          Aetna Life Insurance Company
                                         common                                                  22           1
                                         preferred class C                                        7           1
                                       H.F. Ahmanson & Co.                                      100           3
                                       Allstate Corp.                                           200           9
                                       American General Corp.                                   600          21
                                       American International Group, Inc.                       400          38
                                       Associates First Capital                                 100           4
                                       Banco Bilbao Vizcaya                                     451          19
                                       Banc One Corporation                                     600          21
                                       BankAmerica Corp.                                        300          24
                                       Bank of Ireland                                        2,692          19
                                       Bank of New York Inc.                                    200          10
                                       Bankers Trust New York Corp.                             100           7
                                       Barnett Banks                                            300          18
                                       Boatmen's Bancshares                                     300          12
                                       Cheung Kong Holding Ltd.                               3,000          20
                                       CITIC Pacific Ltd.                                     4,000          17
                                       Compass Bancshares                                       100           3
                                       Crestar Financial Corp.                                  200          12
                                       Cullen Frost Bankers                                     100           3
                                       Dean Witter Discover                                     390          20
                                       Development Bank of Singapore                         16,500         187
                                       Federal Home Loan Mortgage Corp.                         600          51
                                       Federal National Mortgage Association                  2,267          72
                                       First Commerce Corp.                                     100           3
                                       First Chicago NBD Corp.                                  500          19
                                       First Financial Caribbean Corp.                          200           4
                                       First Financial Corp., Wisconsin                         100           2
                                       First Union Corp.                                        400          25
                                       First USA                                                600          29
                                       Fleet Financial Group, Inc.                              400          16
                                       Great Western Financial Corp.                            200           5
                                    (a)Imperial Credit Industries                               300           9
                                       Integon Corp.                                            200           4
                                       Internationale Nederlanden Groep                       1,120          34
                                       ITT Hartford Group                                       570          30
                                       KeyCorp                                                  400          15
                                       Krung Thai Bank Public Co. Ltd.                        2,700          10
                                       Lawyers Title Insurance Corp.                            100           2
                                       Liberty Bancorp                                          100           3
                                       Long Island Bancorp                                      200           6
                                       MBIA Inc.                                                410          31
                                       MGIC Investment Corp.                                    300          18
                                       Meadowbrook Insurance Group                              400          10
                                       Mercer International SBI                                 400           5
                                       J.P. Morgan & Company                                    100           9
</TABLE>
 
 22
 
<PAGE>   92
PORTFOLIO OF INVESTMENTS

(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

                                                                                  NUMBER OF SHARES       VALUE
<S>                                    <C>                                                   <C>        <C>
                                       NationsBank                                              450     $    39
                                       Northside Savings Bank                                   100           4
                                       Norwest Corp.                                            100           4
                                       PNC Bank, N.A.                                           700          20
                                       Providian Corp.                                          320          13
                                       Roosevelt Financial Group                                700          11
                                       Signet Banking Corp.                                     500          11
                                       Sumitomo Trust & Banking                               2,000          26
                                       Travelers Group                                          900          37
                                       T.R. Financial Corp.                                     100           3
                                       Webb Del Corp.                                           300           5
                                       -----------------------------------------------------------------------------
                                                                                                          1,054
- --------------------------------------------------------------------------------------------------------------------
HEALTH CARE--4.0%                      Abbott Laboratories                                      500          22
                                       Astra AB
                                         ADR                                                    820          35
                                         common                                                 496          21
                                       Ciba-Geigy Ltd.                                           47          56
                                       Glaxo Wellcome PLC
                                         ADR                                                  1,200          33
                                         common                                               2,442          34
                                    (a)Humana, Inc.                                           1,200          20
                                       Johnson & Johnson                                        400          19
                                       Eli Lilly & Co.                                          100           6
                                       Mallinckrodt Group                                       700          26
                                       Merck & Co., Inc.                                        500          32
                                    (a)Patterson Dental Co.                                     400          12
                                       Pharmacia-Upjohn Inc.                                    100           4
                                    (a)Physician Sales & Service                                450           8
                                       Roche Holding AG                                          12          37
                                    (a)St. Jude Medical                                         700          24
                                       Sandoz, Ltd.                                             720          40
                                    (a)Tenet Healthcare Corporation                             200           4
                                       -----------------------------------------------------------------------------
                                                                                                            433
- --------------------------------------------------------------------------------------------------------------------
TECHNOLOGY--6.1%                       Allen Group                                              500           8
                                    (a)Alternative Resources Corporation                        300           9
                                    (a)Applied Materials, Inc.                                  400          10
                                    (a)Asyst Technologies                                       100           2
                                    (a)Atmel Corporation                                        370          10
                                    (a)Burr Brown Corp.                                         100           2
                                       Canon Inc.                                             3,800          72
                                    (a)Cisco Systems                                            650          34
                                    (a)Compaq Computer Corp.                                  1,090          60
                                    (a)Dell Computer Corp.                                      330          18
                                       Electronic Data Systems                                  400          21
                                    (a)Electroglas                                              300           4
                                    (a)EXAR Corp.                                               300           4
                                    (a)Gateway 2000                                             450          18
                                       Getronics N.V.                                         1,140          25
                                       Harris Corp.                                             605          35
                                       Hewlett-Packard, Co.                                     600          26
                                       Intel Corp.                                              850          64
                                       Kyocera Corp.                                            400          27
                                    (a)Lam Research Corp.                                       440          10
                                       Linear Technology Corp.                                  350          11
                                       LM Ericsson Telephone Co. "B"                            970          19
                                    (a)Maxim Integrated Products                                410          12
</TABLE>
 
                                                                              23
 
<PAGE>   93
PORTFOLIO OF INVESTMENTS

(Dollars in thousands) 
<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

                                                                                  NUMBER OF SHARES       VALUE
<S>                                 <C>                                                      <C>        <C>
                                    (a)Novellus Systems                                         300     $    11
                                    (a)Proxima Corp.                                            300           3
                                    (a)Read-Rite Corp.                                          300           3
                                       Scientific Atlanta                                       500           7
                                    (a)Silicon Graphics                                         410          10
                                    (a)Softkey International                                  1,270          23
                                    (a)Tech-Sym Corporation                                     100           3
                                       Texas Instruments                                        600          26
                                       3Com Corporation                                         730          29
                                    (a)US Robotics                                              690          37
                                    (a)Western Digital Corp.                                    100           3
                                       -----------------------------------------------------------------------------
                                                                                                            656
- --------------------------------------------------------------------------------------------------------------------
TRANSPORTATION--.8%                    Airborne Freight Corp.                                   200           4
                                       Canadian National Railway Company                      1,710          31
                                       Nippon Express                                         3,000          28
                                       Swire Pacific Ltd.                                     3,000          26
                                       -----------------------------------------------------------------------------
                                                                                                             89
- --------------------------------------------------------------------------------------------------------------------
UTILITIES--1.2%                     (a)Airtouch Communications                                  400          11
                                       Atlantic Tele-Network                                    400           8
                                       Empresa Nacional de Electricidad S.A.                    239          14
                                       Iberdrola, S.A.                                        1,520          14
                                    (a)Paging Network, Inc.                                   1,000          19
                                       SBC Communications Inc.                                  600          29
                                       Telecom Italia Spa                                     6,432          13
                                       Telefonica Del Puru, ADR                                 750          16
                                       -----------------------------------------------------------------------------
                                                                                                            124
                                       -----------------------------------------------------------------------------
                                       TOTAL COMMON STOCKS--40.0%
                                       (Cost: $4,424)                                                     4,334
                                       -----------------------------------------------------------------------------
                                       TOTAL INVESTMENTS--97.0%
                                       (Cost: $10,665)                                                   10,509
                                       -----------------------------------------------------------------------------
                                       OTHER ASSETS LESS LIABILITIES--3.0%                                  322
                                       -----------------------------------------------------------------------------
                                       NET ASSETS--100%                                                 $10,831
                                       -----------------------------------------------------------------------------
</TABLE>
 
 NOTES TO PORTFOLIO OF INVESTMENTS
 
(a) Non-income producing securities.
 
Based on the cost of investments of $10,665,000 for federal income tax purposes
at July 31, 1996, the gross unrealized appreciation was $103,000, the gross
unrealized depreciation was $259,000 and the net unrealized depreciation on
investments was $156,000.
 
See accompanying Notes to Financial Statements.
 
 24
 
<PAGE>   94
 
THE BOARD OF TRUSTEES AND SHAREHOLDERS
 
KEMPER HORIZON FUND
 
  We have audited the accompanying statement of assets and liabilities,
including the portfolio of investments, of Kemper Horizon 20+ Portfolio, Kemper
Horizon 10+ Portfolio and Kemper Horizon 5 Portfolio, comprising Kemper Horizon
Fund (the Fund), as of July 31, 1996, the related statements of operations and
changes in net assets and the financial highlights for the period from December
29, 1995 (commencement of operations) to July 31, 1996. These financial
statements and financial highlights are the responsibility of the Fund's
management. Our responsibility is to express an opinion on these financial
statements and financial highlights based on our audits.
 
  We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of investments owned as of July
31, 1996, by correspondence with the custodian and brokers. An audit also
includes assessing the accounting principles used and significant estimates made
by management, as well as evaluating the overall financial statement
presentation. We believe that our audits provide a reasonable basis for our
opinion.
 
  In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of each
of the portfolios comprising Kemper Horizon Fund at July 31, 1996, the results
of their operations, the changes in their net assets and the financial
highlights for the period referred to above in conformity with generally
accepted accounting principles.
 
                                                               ERNST & YOUNG LLP
 
                                          Chicago, Illinois
                                          August 29, 1996
 
                                                                              25
 
                                             REPORT OF INDEPENDENT AUDITORS
<PAGE>   95
FINANCIAL STATEMENTS
 
STATEMENT OF ASSETS AND LIABILITIES
July 31, 1996
(in thousands)
 
<TABLE>
<CAPTION>
                                                                                KEMPER HORIZON
                                                                 ---------------------------------------------
                                                                 20+ PORTFOLIO    10+ PORTFOLIO    5 PORTFOLIO
<S>                                                              <C>              <C>              <C>
 ASSETS
Investments, at value
(Cost: $19,497, $19,347 and $10,665)                                $18,936           18,958          10,509
- --------------------------------------------------------------------------------------------------------------
Cash                                                                     67              164              --
- --------------------------------------------------------------------------------------------------------------
Receivable for:
  Fund shares sold                                                      106              368             238
- --------------------------------------------------------------------------------------------------------------
  Dividends and interest                                                 99              182             158
- --------------------------------------------------------------------------------------------------------------
    TOTAL ASSETS                                                     19,208           19,672          10,905
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 LIABILITIES AND NET ASSETS
 
<TABLE>
<S>                                                              <C>              <C>              <C>
Cash Overdraft                                                           --               --              23
- --------------------------------------------------------------------------------------------------------------
Payable for:
  Fund shares redeemed                                                   15                1               1
- --------------------------------------------------------------------------------------------------------------
  Investments purchased                                                 918              733              36
- --------------------------------------------------------------------------------------------------------------
  Management fee                                                          5                7               3
- --------------------------------------------------------------------------------------------------------------
  Distribution services fee                                               6                6               3
- --------------------------------------------------------------------------------------------------------------
  Administrative services fee                                             3                3               2
- --------------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                 10               10               6
- --------------------------------------------------------------------------------------------------------------
    Total liabilities                                                   957              760              74
- --------------------------------------------------------------------------------------------------------------
NET ASSETS                                                          $18,251           18,912          10,831
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 ANALYSIS OF NET ASSETS
 
<TABLE>
<S>                                                              <C>              <C>              <C>
Paid-in capital                                                     $18,784           19,258          10,955
- --------------------------------------------------------------------------------------------------------------
Accumulated net realized loss on investments                           (106)             (92)            (44)
- --------------------------------------------------------------------------------------------------------------
Net unrealized depreciation on investments                             (561)            (389)           (156)
- --------------------------------------------------------------------------------------------------------------
Undistributed net investment income                                     134              135              76
- --------------------------------------------------------------------------------------------------------------
NET ASSETS APPLICABLE TO SHARES OUTSTANDING                         $18,251           18,912          10,831
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 THE PRICING OF SHARES
 
<TABLE>
<S>                                                              <C>              <C>              <C>
CLASS A SHARES
  Net assets applicable to shares outstanding                        $8,073            9,338           4,412
- --------------------------------------------------------------------------------------------------------------
  Shares outstanding                                                    831              973             461
- --------------------------------------------------------------------------------------------------------------
  Net asset value and redemption price per share
  (net assets / shares outstanding)                                   $9.72             9.60            9.57
- --------------------------------------------------------------------------------------------------------------
  Maximum offering price per share
  (net asset value, plus 6.10% of
  net asset value or 5.75% of offering price)                        $10.31            10.19           10.15
- --------------------------------------------------------------------------------------------------------------
CLASS B SHARES
  Net assets applicable to shares outstanding                        $8,431            8,622           5,704
- --------------------------------------------------------------------------------------------------------------
  Shares outstanding                                                    873              898             596
- --------------------------------------------------------------------------------------------------------------
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  (net assets / shares outstanding)                                   $9.65             9.60            9.57
- --------------------------------------------------------------------------------------------------------------
CLASS C SHARES
  Net assets applicable to shares outstanding                          $798              850             614
- --------------------------------------------------------------------------------------------------------------
  Shares outstanding                                                     82               89              64
- --------------------------------------------------------------------------------------------------------------
  Net asset value and redemption price
  (subject to contingent deferred sales charge) per share
  (net assets / shares outstanding)                                   $9.67             9.60            9.57
- --------------------------------------------------------------------------------------------------------------
CLASS I SHARES
  Net assets applicable to shares outstanding                          $949              102             101
- --------------------------------------------------------------------------------------------------------------
  Shares outstanding                                                     98               11              11
- --------------------------------------------------------------------------------------------------------------
  Net asset value and redemption price per share
  (net assets / shares outstanding)                                   $9.73             9.57            9.58
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 26
 
<PAGE>   96
FINANCIAL STATEMENTS
 
STATEMENT OF OPERATIONS
For the period December 29, 1995 (commencement of operations) to 
July 31, 1996
(in thousands)
 
<TABLE>
<CAPTION>
                                                                                KEMPER HORIZON
                                                                 ---------------------------------------------
                                                                 20+ PORTFOLIO    10+ PORTFOLIO    5 PORTFOLIO
<S>                                                              <C>              <C>              <C>
 INVESTMENT INCOME
  Dividends                                                          $  63               47              18
- --------------------------------------------------------------------------------------------------------------
  Interest                                                              88              152             120
- --------------------------------------------------------------------------------------------------------------
    Total investment income                                            151              199             138
- --------------------------------------------------------------------------------------------------------------
Expenses:
  Management fee                                                        29               29              17
- --------------------------------------------------------------------------------------------------------------
  Distribution services fee                                             18               19              13
- --------------------------------------------------------------------------------------------------------------
  Administrative services fee                                           10               11               6
- --------------------------------------------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses                28               29              13
- --------------------------------------------------------------------------------------------------------------
  Professional fees                                                      4                3               2
- --------------------------------------------------------------------------------------------------------------
  Trustees' fees and other                                               6                6               6
- --------------------------------------------------------------------------------------------------------------
    Total expenses before expense waiver                                95               97              57
- --------------------------------------------------------------------------------------------------------------
Less expenses waived and absorbed by investment manager                  3                2               1
- --------------------------------------------------------------------------------------------------------------
    Total expenses after expense waiver                                 92               95              56
- --------------------------------------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                   59              104              82
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS
 
<TABLE>
<S>                                                              <C>              <C>              <C>
  Net realized loss on sales of investments                           (128)            (116)            (54)
- --------------------------------------------------------------------------------------------------------------
  Net realized gain from futures transactions                           26               28              12
- --------------------------------------------------------------------------------------------------------------
    Net realized loss                                                 (102)             (88)            (42)
- --------------------------------------------------------------------------------------------------------------
  Change in net unrealized depreciation on investments                (561)            (389)           (156)
- --------------------------------------------------------------------------------------------------------------
Net loss on investments                                               (663)            (477)           (198)
- --------------------------------------------------------------------------------------------------------------
NET DECREASE IN NET ASSETS RESULTING FROM OPERATIONS                 $(604)            (373)           (116)
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
For the period December 29, 1995 (commencement of operations) to 
July 31, 1996
(in thousands)
 
<TABLE>
<CAPTION>
                                                                                KEMPER HORIZON
                                                                 ---------------------------------------------
                                                                 20+ PORTFOLIO    10+ PORTFOLIO    5 PORTFOLIO
<S>                                                              <C>              <C>              <C>
 OPERATIONS, DIVIDENDS AND CAPITAL SHARE ACTIVITY
  Net investment income                                             $    59              104              82
- --------------------------------------------------------------------------------------------------------------
  Net realized loss                                                    (102)             (88)            (42)
- --------------------------------------------------------------------------------------------------------------
  Change in net unrealized depreciation                                (561)            (389)           (156)
- --------------------------------------------------------------------------------------------------------------
Net decrease in net assets resulting from operations                   (604)            (373)           (116)
- --------------------------------------------------------------------------------------------------------------
Net equalization credits                                                 71               97              46
- --------------------------------------------------------------------------------------------------------------
Distribution from net investment income                                  --              (70)            (54)
- --------------------------------------------------------------------------------------------------------------
Net increase from capital share transactions                         18,684           19,158          10,855
- --------------------------------------------------------------------------------------------------------------
TOTAL INCREASE IN NET ASSETS                                         18,151           18,812          10,731
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
 NET ASSETS
 
<TABLE>
<S>                                                              <C>              <C>              <C>
Beginning of period                                                     100              100             100
- --------------------------------------------------------------------------------------------------------------
END OF PERIOD                                                        18,251           18,912          10,831
- --------------------------------------------------------------------------------------------------------------
UNDISTRIBUTED NET INVESTMENT INCOME AT END OF PERIOD                $   134              135              76
- --------------------------------------------------------------------------------------------------------------
</TABLE>
 
See accompanying Notes to Financial Statements.
 
                                                                              27
 
                                                       
<PAGE>   97
NOTES TO FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
1    DESCRIPTION OF
     THE FUND                Kemper Horizon Fund (the "Fund") is an open-end
                             diversified management investment company organized
                             as a business trust under the laws of
                             Massachusetts. The Fund consists of three
                             investment portfolios ("Portfolios") designed for
                             investors with different investment objectives. The
                             three Portfolios are Kemper Horizon 20+ Portfolio,
                             Kemper Horizon 10+ Portfolio, and Kemper Horizon 5
                             Portfolio. Each Portfolio currently offers four
                             classes of shares. Class A shares 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 sales charge but are subject to
                             higher ongoing expenses than Class A shares and,
                             for shares sold on or after April 1, 1996, a
                             contingent deferred sales charge payable upon
                             certain redemptions within one year of purchase.
                             Class C shares do not convert into another class.
                             Class I shares are offered to a limited group of
                             investors, are not subject to initial or contingent
                             deferred sales charges and have lower ongoing
                             expenses than other classes. Differences in class
                             expenses will result in the payment of different
                             per share income dividends by class. Each share of
                             a Portfolio represents an identical interest in the
                             investments of the Portfolio and has the same
                             rights.
 
- --------------------------------------------------------------------------------
2    SIGNIFICANT
     ACCOUNTING POLICIES     INVESTMENT VALUATION. Investments are stated at
                             value. Portfolio securities that are traded on a
                             domestic securities exchange or securities listed
                             on the NASDAQ National Market are valued at the
                             last sale price on the exchange or market where
                             primarily traded or listed or, if there is no
                             recent sale, at the last current bid quotation.
                             Portfolio securities that are primarily traded on
                             foreign securities exchanges are generally valued
                             at the preceding closing values of such securities
                             on their respective exchanges where primarily
                             traded. Securities not so traded or listed are
                             valued at the last current bid quotation if market
                             quotations are available. Fixed income securities
                             are valued by using market quotations, or
                             independent pricing services that use prices
                             provided by market makers or estimates of market
                             values obtained from yield data relating to
                             instruments or securities with similar
                             characteristics. Equity options are valued at the
                             last sale price unless the bid price is higher or
                             the asked price is lower, in which event such bid
                             or asked price is used. Financial futures and
                             options thereon are valued at the settlement price
                             established each day by the board of trade or
                             exchange on which they are traded. Forward foreign
                             currency contracts are valued at the forward rates
                             prevailing on the day of valuation. Other
                             securities and assets are valued at fair value as
                             determined in good faith by the Board of Trustees.
 
                             CURRENCY TRANSLATION. The books and records of the
                             Portfolios are maintained in U.S. dollars. All
                             assets and liabilities initially expressed in
                             foreign currency values are converted into U.S.
                             dollar values at the mean between the bid and
                             offered quotations of such currencies against U.S.
                             dollars as last quoted by a recognized dealer. If
                             such quotations are not readily available, the rate
                             of exchange is determined in good faith by the
 
 28
 
<PAGE>   98
NOTES TO FINANCIAL STATEMENTS
 
                             Board of Trustees. Income and expenses and
                             purchases and sales of investments are translated
                             into U.S. dollars at the rate of exchange
                             prevailing on the respective dates of such
                             transactions. The Portfolios include that portion
                             of the results of operations resulting from changes
                             in foreign exchange rates with net realized and
                             unrealized gain (loss) on investments, as
                             appropriate.
 
                             INVESTMENT TRANSACTIONS AND INVESTMENT
                             INCOME. Investment transactions are accounted for
                             on the trade date (date the order to buy or sell is
                             executed). Dividend income is recorded on the
                             ex-dividend date, and interest income is recorded
                             on the accrual basis and includes discount
                             amortization on fixed income securities. Realized
                             gains and losses from investment transactions are
                             reported on an identified cost basis.
 
                             EXPENSES. Expenses arising in connection with a
                             specific Portfolio are allocated to that Portfolio.
                             Other Fund expenses are allocated among the
                             Portfolios in proportion to their relative net
                             assets.
 
                             FUND SHARE VALUATION. Fund shares are sold and
                             redeemed on a continuous basis at net asset value
                             (plus an initial sales charge on most sales of
                             Class A shares). Proceeds payable on redemption of
                             Class B and Class C shares will be reduced by the
                             amount of any applicable contingent deferred sales
                             charge. On each day the New York Stock Exchange is
                             open for trading, the net asset value per share is
                             determined as of the earlier of 3:00 p.m. Chicago
                             time or the close of the Exchange. The net asset
                             value per share is determined separately for each
                             class by dividing the Portfolio's net assets
                             attributable to that class by the number of shares
                             of the class outstanding.
 
                             FEDERAL INCOME TAXES. Each Portfolio intends to
                             comply with the special provisions of the Internal
                             Revenue Code available to investment companies and
                             therefore no federal income tax provision is
                             required. The accumulated net realized loss on
                             sales of investments for federal income tax
                             purposes at July 31, 1996, amounting to
                             approximately $106,000, $92,000 and $44,000 in
                             Horizon 20+, Horizon 10+ and Horizon 5 Portfolios,
                             respectively, are available to offset future
                             taxable gains in the respective Portfolios. If not
                             applied, the loss carryovers expire in 2004.
 
                             DIVIDENDS TO SHAREHOLDERS. Each Portfolio normally
                             intends to pay dividends of net investment income
                             as follows: annually for the Horizon 20+ Portfolio,
                             semiannually for the Horizon 10+ Portfolio, and
                             quarterly for the Horizon 5 Portfolio. Each
                             Portfolio will pay any net realized capital gains
                             at least annually. Dividends are recorded on
                             ex-dividend date. Dividends are determined in
                             accordance with income tax principles which may
                             treat certain transactions differently from
                             generally accepted accounting principles.
 
                             EQUALIZATION ACCOUNTING. A portion of proceeds from
                             sales and costs of redemptions of Portfolio shares
                             is credited or charged to undistributed net
                             investment income so that income per share
                             available for distribution is not affected by sales
                             or redemptions of shares.
 
                                                                              29
 
<PAGE>   99
NOTES TO FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
3    TRANSACTIONS WITH
     AFFILIATES              MANAGEMENT AGREEMENT. The Fund has a management
                             agreement with Zurich Kemper Investments, Inc.
                             (ZKI), and each Portfolio pays a management fee at
                             an annual rate of .58% of the first $250 million of
                             average daily net assets declining to .42% of
                             average daily net assets in excess of $12.5
                             billion. The Fund paid a management fee of $69,000
                             for the period ended July 31, 1996. Dreman Value
                             Advisors, Inc. (DVA), a wholly owned subsidiary of
                             ZKI, is the subadviser for the Fund.
 
                             ZKI has agreed to temporarily reduce its management
                             fee and reimburse or pay certain operating expenses
                             to the extent necessary to limit each Portfolio's
                             total operating expenses to the following
                             percentages of average daily net assets: Class A,
                             1.48%, Class B, 2.26%, Class C, 2.23% and Class I,
                             .73%. Under this agreement, ZKI waived expenses of
                             $6,000 for the period ended July 31, 1996.
 
                             UNDERWRITING AND DISTRIBUTION SERVICES
                             AGREEMENT. The Fund has an underwriting and
                             distribution services agreement with Kemper
                             Distributors, Inc. (KDI). Underwriting commissions
                             paid in connection with the distribution of each
                             Portfolio's Class A shares for the period ended
                             July 31, 1996 are as follows:
 
<TABLE>
<CAPTION>
                                                                                                COMMISSIONS
                                                                                               ALLOWED BY KDI
                                                                        COMMISSIONS     ----------------------------
                                                                      RETAINED BY KDI   TO ALL FIRMS   TO AFFILIATES
                                                                      ---------------   ------------   -------------
                                    <S>                               <C>               <C>            <C>
                                    Kemper Horizon 20+ Portfolio          $ 7,000          160,000         16,000
                                    Kemper Horizon 10+ Portfolio           14,000          235,000         21,000
                                    Kemper Horizon 5 Portfolio              7,000          154,000         10,000
</TABLE>
 
                             For services under the distribution services
                             agreement, each Portfolio pays KDI a fee of .75% of
                             average daily net assets of Class B and Class C
                             shares. Pursuant to the agreement, KDI enters into
                             related selling group agreements with various firms
                             at various rates for sales of Class B and Class C
                             shares of each Portfolio. In addition, KDI receives
                             any contingent deferred sales charges (CDSC) from
                             redemptions of Class B and Class C shares.
                             Distribution fees and commissions paid in
                             connection with the sale of Class B and Class C
                             shares and the CDSC received in connection with the
                             redemption of such shares for the period ended July
                             31, 1996 are as follows:
 
<TABLE>
<CAPTION>
                                                                                              COMMISSIONS AND
                                                                                             DISTRIBUTION FEES
                                                                       DISTRIBUTION             PAID BY KDI
                                                                       FEES AND CDSC    ----------------------------
                                                                      RECEIVED BY KDI   TO ALL FIRMS   TO AFFILIATES
                                                                      ---------------   ------------   -------------
                                    <S>                               <C>               <C>            <C>
                                    Kemper Horizon 20+ Portfolio          $21,000          275,000         32,000
                                    Kemper Horizon 10+ Portfolio           20,000          266,000         32,000
                                    Kemper Horizon 5 Portfolio             18,000          190,000         15,000
</TABLE>
 
                             ADMINISTRATIVE SERVICES AGREEMENT. The Fund has an
                             administrative services agreement with KDI. For
                             providing information and administrative services
                             to Class A, Class B and Class C shareholders, each
                             Portfolio pays KDI a fee at an annual rate of up to
                             .25% of average daily net assets of each class. KDI
                             in turn has various agreements with financial
                             services firms that provide these services and pays
                             these firms based on assets of
 
 30
 
<PAGE>   100
NOTES TO FINANCIAL STATEMENTS
 
                             Portfolio accounts the firms service.
                             Administrative services fees (ASF) paid for the
                             period ended July 31, 1996 are as follows:
 
<TABLE>
<CAPTION>
                                                                                              ASF FEES PAID BY KDI
                                                                       ASF PAID BY        ----------------------------
                                                                  THE PORTFOLIOS TO KDI   TO ALL FIRMS   TO AFFILIATES
                                                                  ---------------------   ------------   -------------
                                    <S>                           <C>                     <C>            <C>
                                    Kemper Horizon 20+ Portfolio         $10,000             25,000          3,000
                                    Kemper Horizon 10+ Portfolio          11,000             26,000          3,000
                                    Kemper Horizon 5 Portfolio             6,000             17,000          1,000
</TABLE>
 
                             SHAREHOLDER SERVICES AGREEMENT. Pursuant to a
                             services agreement with the Fund's custodian and
                             transfer agent, Kemper Service Company (KSvC) is
                             the shareholder services agent of the Fund. Under
                             the agreement, KSvC received shareholder services
                             fees of $37,000 for the period ended July 31, 1996.
 
                             OFFICERS AND TRUSTEES. Certain officers or trustees
                             of the Fund are also officers or directors of ZKI.
                             During the period ended July 31, 1996 the Fund made
                             no payments to its officers and incurred trustees'
                             fees of $17,000 to independent trustees.
 
- --------------------------------------------------------------------------------
4
     INVESTMENT
     TRANSACTIONS
                             For the period ended July 31, 1996 investment
                             transactions (excluding short-term instruments) are
                             as follows (in thousands):
 
<TABLE>
<CAPTION>
                                                                           KEMPER        KEMPER       KEMPER
                                                                         HORIZON 20+   HORIZON 10+   HORIZON 5
                                                                         -----------   -----------   ---------
                                    <S>                                  <C>           <C>           <C>
                                    Purchases                              $24,724        23,616       12,383
                                    Proceeds from sales                      5,993         4,347        1,662
</TABLE>
 
- --------------------------------------------------------------------------------
5
     CAPITAL SHARE
     TRANSACTIONS            The following tables summarize the activity in
                             capital shares of the Portfolios for the period
                             December 29, 1995 (commencement of operations) to
                             July 31, 1996 (in thousands):
 
<TABLE>
<CAPTION>
                                                KEMPER HORIZON 20+ PORTFOLIO                 SHARES       AMOUNT
                                      <S>                                                    <C>          <C>
                                       SHARES SOLD
                                       Class A                                                 854        $ 8,500
                                      ---------------------------------------------------------------------------
                                       Class B                                                 888          8,850
                                      ---------------------------------------------------------------------------
                                       Class C                                                  86            857
                                      ---------------------------------------------------------------------------
                                       Class I                                                 103          1,045
                                      ---------------------------------------------------------------------------
                                       SHARES REDEEMED
                                       Class A                                                 (26)          (264)
                                      ---------------------------------------------------------------------------
                                       Class B                                                 (18)          (179)
                                      ---------------------------------------------------------------------------
                                       Class C                                                  (7)           (68)
                                      ---------------------------------------------------------------------------
                                       Class I                                                  (5)           (57)
                                      ---------------------------------------------------------------------------
                                       NET INCREASE FROM CAPITAL SHARE TRANSACTIONS                       $18,684
                                      ---------------------------------------------------------------------------
</TABLE>








                                                                              31



<PAGE>   101
NOTES TO FINANCIAL STATEMENTS
 
[CAPTION]
<TABLE>
                                      
                                                KEMPER HORIZON 10+ PORTFOLIO                 SHARES       AMOUNT
                                      --------------------------------------------------------------------------
                                      <S>                                                    <C>          <C>
                                       SHARES SOLD
                                       Class A                                                986        $ 9,625
                                      --------------------------------------------------------------------------
                                       Class B                                                920          8,999
                                      --------------------------------------------------------------------------
                                       Class C                                                 89            877
                                      --------------------------------------------------------------------------
                                       Class I                                                 12            104
                                      --------------------------------------------------------------------------
                                      --------------------------------------------------------------------------
                                       SHARES ISSUED IN REINVESTMENT OF DIVIDENDS
                                       Class A                                                  5             48
                                      --------------------------------------------------------------------------
                                       Class B                                                  2             20
                                       Class C                                                  1              3
                                      --------------------------------------------------------------------------
                                      --------------------------------------------------------------------------
                                       SHARES REDEEMED
                                       Class A                                                (21)          (208)
                                      --------------------------------------------------------------------------
                                       Class B                                                (27)          (264)
                                      --------------------------------------------------------------------------
                                       Class C                                                 (4)           (45)
                                      --------------------------------------------------------------------------
                                       Class I                                                 (1)            (1)
                                      --------------------------------------------------------------------------
                                       NET INCREASE FROM CAPITAL SHARE TRANSACTIONS                      $19,158
                                      --------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                 KEMPER HORIZON 5 PORTFOLIO                 SHARES       AMOUNT
                                      
                                      --------------------------------------------------------------------------
                                      <S>                                                   <C>          <C>
                                       SHARES SOLD
                                       Class A                                                509        $ 4,935
                                      --------------------------------------------------------------------------
                                       Class B                                                611          5,902
                                      --------------------------------------------------------------------------
                                       Class C                                                 64            625
                                      --------------------------------------------------------------------------
                                       Class I                                                 10            102
                                      --------------------------------------------------------------------------
                                      --------------------------------------------------------------------------
                                       SHARES ISSUED IN REINVESTMENT OF DIVIDENDS
                                       Class A                                                  3             26
                                      --------------------------------------------------------------------------
                                       Class B                                                  2             22
                                      --------------------------------------------------------------------------
                                       Class C                                                  1              3
                                      --------------------------------------------------------------------------
                                       Class I                                                  1              1
                                      --------------------------------------------------------------------------
                                      --------------------------------------------------------------------------
                                       SHARES REDEEMED
                                       Class A                                                (54)          (524)
                                      --------------------------------------------------------------------------
                                       Class B                                                (20)          (195)
                                      --------------------------------------------------------------------------
                                       Class C                                                 (4)           (42)
                                      --------------------------------------------------------------------------
                                       NET INCREASE FROM CAPITAL SHARE TRANSACTIONS                      $10,855
                                      --------------------------------------------------------------------------
</TABLE>
 
 32
 
<PAGE>   102
 
<TABLE>
<CAPTION>
                                                                    DECEMBER 29, 1995             APRIL 8, 1996
                                                                           TO                           TO
                                                                      JULY 31, 1996               JULY 31, 1996
<S>                                                        <C>          <C>          <C>          <C>
KEMPER HORIZON 20+ PORTFOLIO                                CLASS A      CLASS B      CLASS C        CLASS I
 PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period                          $9.50        9.50         9.50            10.03
 
- -----------------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                         .18         .11          .13              .07
 
- -----------------------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss) (a)                   .04         .04          .04             (.37)
                                                                            
- -----------------------------------------------------------------------------------------------------------------------
Total from investment operations                                .22         .15          .17             (.30)
                                                                            
- -----------------------------------------------------------------------------------------------------------------------
Net asset value, end of period                                $9.72        9.65         9.67             9.73
                                                                           
- -----------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (NOT ANNUALIZED)                                  2.32%       1.58         1.79            (2.99)
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)                                        
- -----------------------------------------------------------------------------------------------------------------------
Expenses absorbed by the Portfolio                             1.48%       2.26         2.23              .73
                                                                           
- -----------------------------------------------------------------------------------------------------------------------
Net investment income                                          1.51         .73          .76             2.32
                                                                           
- -----------------------------------------------------------------------------------------------------------------------
 OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)                                       
Expenses                                                       1.54%       2.32         2.29              .79
                                                                           
- -----------------------------------------------------------------------------------------------------------------------
Net investment income                                          1.45         .67          .70             2.26
                                                                            
- -----------------------------------------------------------------------------------------------------------------------
 SUPPLEMENTAL DATA FOR ALL CLASSES                                                     

<CAPTION>
                                                                                               DECEMBER 29, 1995
                                                                                                       TO
                                                                                                 JULY 31, 1996
<S>                                                                                         <C>                 
- --------------------------------------------------------------------------------------------------------------------
Net assets at end of period (in thousands)                                                        $18,251
- --------------------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                                                                  122%
- --------------------------------------------------------------------------------------------------------------------
Average commission rate paid per share on stock transactions                                      $ .0417
- --------------------------------------------------------------------------------------------------------------------
</TABLE>
 
NOTE FOR KEMPER HORIZON 20+ PORTFOLIO: (a) While there is a net realized and
unrealized loss on investments reflected in the statement of operations, the per
share amount above for Class A, Class B and Class C reflects a gain due to the
timing of fund share sales and the resulting arithmetic calculation.
 
                                                                              33
 
                                                       FINANCIAL HIGHLIGHTS
<PAGE>   103
FINANCIAL HIGHLIGHTS
 
<TABLE>
<CAPTION>
                                                                    DECEMBER 29, 1995             APRIL 8, 1996
                                                                           TO                           TO
                                                                      JULY 31, 1996               JULY 31, 1996
<S>                                                        <C>          <C>          <C>          <C>
               KEMPER HORIZON 10+ PORTFOLIO                 CLASS A      CLASS B      CLASS C        CLASS I
 PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period                          $9.50        9.50         9.50             9.83
 
- -------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                         .20         .17          .17              .09
 
- -------------------------------------------------------------------------------------------------------------
  Net realized and unrealized loss                             (.04)       (.04)        (.04)            (.26)
 
- -------------------------------------------------------------------------------------------------------------
Total from investment operations                                .16         .13          .13             (.17)
 
- -------------------------------------------------------------------------------------------------------------
Less distribution from net investment income                    .06         .03          .03              .09
 
- -------------------------------------------------------------------------------------------------------------
Net asset value, end of period                                $9.60        9.60         9.60             9.57
 
- -------------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                                  1.70%       1.38         1.39            (1.74)
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- -------------------------------------------------------------------------------------------------------------
Expenses absorbed by the Portfolio                             1.48%       2.26         2.23              .73
 
- -------------------------------------------------------------------------------------------------------------
Net investment income                                          2.40        1.62         1.65             3.12
 
- -------------------------------------------------------------------------------------------------------------
 OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses                                                       1.52%       2.30         2.27              .77
 
- -------------------------------------------------------------------------------------------------------------
Net investment income                                          2.36        1.58         1.61             3.08

- -------------------------------------------------------------------------------------------------------------
 SUPPLEMENTAL DATA FOR ALL CLASSES
 
<CAPTION>
                                                                                               DECEMBER 29, 1995
                                                                                                       TO
                                                                                                 JULY 31, 1996
<S>                                                                                             <C>             
- --------------------------------------------------------------------------------------------------------------------
Net assets at end of period (in thousands)                                                        $18,912
- --------------------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                                                                   87%
- --------------------------------------------------------------------------------------------------------------------
Average commission rate paid per share on stock transactions                                      $ .0413
- --------------------------------------------------------------------------------------------------------------------
</TABLE>
 
 34
 
<PAGE>   104
FINANCIAL HIGHLIGHTS

 
<TABLE>
<CAPTION>
                                                                    DECEMBER 29, 1995             APRIL 8, 1996
                                                                           TO                           TO
                                                                      JULY 31, 1996               JULY 31, 1996
<S>                                                        <C>          <C>          <C>          <C>
KEMPER HORIZON 5 PORTFOLIO                                    CLASS A      CLASS B      CLASS C        CLASS I
 PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of period                          $9.50        9.50         9.50             9.69
- -------------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                         .25         .21          .21              .08
- -------------------------------------------------------------------------------------------------------------
  Net realized and unrealized loss                             (.07)       (.07)        (.07)            (.11)
- -------------------------------------------------------------------------------------------------------------
Total from investment operations                                .18         .14          .14             (.03)
- -------------------------------------------------------------------------------------------------------------
Less distribution from net investment income                    .11         .07          .07              .08
- -------------------------------------------------------------------------------------------------------------
Net asset value, end of period                                $9.57        9.57         9.57             9.58
- -------------------------------------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED)                                  1.84%       1.44         1.45             (.31)
 RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
- -------------------------------------------------------------------------------------------------------------
Expenses absorbed by the Portfolio                             1.48%       2.26         2.23              .73
- -------------------------------------------------------------------------------------------------------------
Net investment income                                          3.20        2.42         2.45             4.11
- -------------------------------------------------------------------------------------------------------------
 OTHER RATIOS TO AVERAGE NET ASSETS (ANNUALIZED)
Expenses                                                       1.53%       2.31         2.28              .78
- -------------------------------------------------------------------------------------------------------------
Net investment income                                          3.15        2.37         2.40             4.06
- -------------------------------------------------------------------------------------------------------------
 
 SUPPLEMENTAL DATA FOR ALL CLASSES
 
<CAPTION>
                                                                                               DECEMBER 29, 1995
                                                                                                       TO
                                                                                                 JULY 31, 1996
- --------------------------------------------------------------------------------------------------------------------
<S>                                                                                       <C>
Net assets at end of period (in thousands)                                                            $10,831
- --------------------------------------------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                                                                       57%
- --------------------------------------------------------------------------------------------------------------------
Average commission rate paid per share on stock transactions                                          $ .0460
- --------------------------------------------------------------------------------------------------------------------
</TABLE>
 
NOTES TO ALL PORTFOLIOS: Total returns do not reflect the effect of any sales
charges. Per share data was determined based on average shares outstanding
during the period.
 
The investment manager agreed to temporarily reduce its management fee and
absorb certain operating expenses of the Portfolios. Other Ratios to Average Net
Assets are computed without this expense waiver or absorption.
 
                                                                              35
 
<PAGE>   105
 
                              KEMPER HORIZON FUND
 
                                    PART C.
 
                               OTHER INFORMATION
 
ITEM 24. FINANCIAL STATEMENTS AND EXHIBITS
 
     (a) Financial Statements
 
        (i) Financial statements included in Part A of the Registration
           Statement:
   
           Financial Highlights
    
 
        (ii) Financial statements included in Part B of the Registration
           Statement:
   
           Statement of assets and liabilities--July 31, 1996.
    
   
           Statement of operations for the period from December 29, 1995
           (commencement of operations) to July 31, 1996.
    
   
           Statement of changes in net assets for the period from December 29,
           1995 (commencement of operations) to July 31, 1996.
    
   
           Portfolio of investments--July 31, 1996.
    
   
           Notes to financial statements.
    
 
   
        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.
    
 
   
     (b) Exhibits
    
 
   
<TABLE>
        <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).    Sub-Advisory Agreement.
        99.B6(a).    Underwriting and Distribution Services Agreement.
        99.B6(b).    Form of Selling Group Agreement.**
        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.B10.      Inapplicable.
        99.B11.      Consent and Report of Independent Auditors.
        99.B12.      Inapplicable.
        99.B13.      Inapplicable.
        99.B14(a).   Kemper Retirement Plan Prototype.**
        99.B14(b).   Model Individual Retirement Account.**
        99.B15.      See 6(a) above (Class B and Class C shares).
        99.B16.      Inapplicable.
        99.B18.      Multi-Distribution System Plan.
        99.B24.      Powers of Attorney.
        27           Financial Data Schedule.
        485.B        Representation of Counsel (Rule 485).
</TABLE>
    
 
- ---------------
   
 * 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.
    
 
                                       C-1
<PAGE>   106
 
   
ITEM 25. PERSONS CONTROLLED BY OR UNDER COMMON CONTROL WITH REGISTRANT
    
 
     Inapplicable.
 
ITEM 26. NUMBER OF HOLDERS OF SECURITIES
 
   
     As of August 12, 1996, there were the following number of holders of
securities:
    
 
   
<TABLE>
<CAPTION>
                                                                         CLASSES OF SHARES
                                                                  --------------------------------
                          PORTFOLIO                                 A         B        C       I
- --------------------------------------------------------------    ------    ------    ----    ----
<S>                                                               <C>       <C>       <C>     <C>
Horizon 20+...................................................     1,342     1,899     228     190
Horizon 10+...................................................     1,009     1,161     103      48
Horizon 5.....................................................       417       483      92      29
</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.
 
     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.
 
                                       C-2
<PAGE>   107
ITEM 28(a) BUSINESS AND OTHER CONNECTIONS OF INVESTMENT ADVISER
     Information pertaining to business and other connections of the
Registrant's investment adviser is hereby incorporated by reference to the
section of the Prospectus captioned "Investment Manager and Underwriter," and
to the section of the Statement of Additional Information captioned "Investment
Manager and Underwriter."

     Zurich Kemper Investments, Inc., investment adviser of the Registrant, is
investment adviser of:

Kemper Mutual Funds:
Kemper Technology Fund
Kemper Total Return Fund
Kemper Growth Fund
Kemper Small Capitalization Equity Fund
Kemper Income and Capital Preservation Fund
Kemper Money Funds
Kemper National Tax-Free Income Series
Kemper Diversified Income Fund
Kemper High Yield Fund
Cash Equivalent Fund
Kemper U.S. Government Securities Fund
Kemper International Fund
Kemper Portfolios
Kemper State Tax-Free Income Series
Tax-Exempt California Money Market Fund
Kemper Adjustable Rate U.S. Government Fund
Kemper Blue Chip Fund
Kemper Global Income Fund
Kemper Target Equity Fund
Cash Account Trust
Investors Cash Trust
Tax-Exempt New York Money Market Fund
Kemper Value Plus Growth Fund
Kemper Quantitative Equity Fund
Kemper Horizon Fund
Kemper Europe Fund
Kemper Asian Growth Fund

Kemper Closed-End Funds:
Kemper High Income Trust
Kemper Intermediate Government Trust
Kemper Municipal Income Trust
Kemper Multi-Market Income Trust
Kemper Strategic Municipal Income Trust
The Growth Fund of Spain, Inc.
Kemper Strategic Income Fund

     Zurich Kemper Investments, Inc. also furnishes investment advice to and
manages investment portfolios for other clients including Kemper Investors Fund
and Kemper International Bond Fund.



                                     C-3
<PAGE>   108
Item 28(b)(i) Business and Other Connections of Officers
and Directors of Zurich Kemper Investments, Inc.,
the Investment Advisor


TIMBERS, STEPHEN B.
     Director, President, Chief Executive Officer and Chief Investment
     Officer, Zurich Kemper Investments, Inc.
     Director, Kemper Distributors, Inc.
     Director, Zurich Investment Management, Inc.
     Director, Chairman, Kemper Service Company
     Director, Dreman Value Advisors, Inc.
     Director, President, Kemper International Management, Inc.
     Trustee and President, Kemper Funds
     Director, The LTV Corporation
     Governor, Investment Company Institute

NEAL, JOHN E.
     Director, Zurich Kemper Investments, Inc.
     President, Kemper Funds Group, a unit of Zurich Kemper
     Investments, Inc.
     Director, President, Kemper Service Company
     Director, Kemper Distributors, Inc.
     Director, Zurich Investment Management, Inc.
     Director, Dreman Value Advisors, Inc.
     Director, Community Investment Corporation
     Director, Continental Community Development Corporation
     Director, K-P Greenway, Inc.
     Director, K-P Plaza Dallas, Inc.
     Director, Kemper/Prime Acquisition Fund, Inc.
     Director, RespiteCare
     Director, Urban Shopping Centers, Inc.
     Vice President, Kemper Funds

ALTER, LOREN
     Director, Zurich Kemper Investments, Inc.

BOLINDER, WILLIAM H.
     Director, Vicechairman, Zurich Kemper Investments, Inc.

CHENG, LAURENCE W.
     Director, Zurich Kemper Investments, Inc.
     President and Chief Executive Officer, Zurich Investment
     Management Group

GLUCKSTERN, STEVEN M.
     Director, Chairman, Zurich Kemper Investments, Inc.

HANGGI, ROLF
     Director, Zurich Kemper Investments, Inc.

HUPPI, ROLF
     Director, Zurich Kemper Investments, Inc.
     Chief Executive Officer, Zurich Insurance Company



                                     C-4
<PAGE>   109
LELAND, MARC E.
     Director, Zurich Kemper Investments, Inc.

MORAX, DOMINQUE P.
     Director, Zurich Kemper Investments, Inc.
     Senior Vice President, Member Extended Corporate Executive Board,
     Zurich Insurance Company
     Trustee, Kemper Funds

PALM, MICHAEL
     Director, Zurich Kemper Investments, Inc.

WHITE, WALTER L.
     Director, Zurich Kemper Investments, Inc.

CHAPMAN, II, WILLIAM E.
     President, Kemper Retirement Plans Group, a unit of Zurich Kemper
     Investments, Inc.
     Director, Executive Vice President, Kemper Distributors, Inc.

VOGEL, VICTOR E.
     Senior Executive Vice President, Zurich Kemper Investments, Inc.

BEIMFORD, JR., JOSEPH P.
     Executive Vice President, Chief Investment Officer - Fixed
     Income, Zurich Kemper Investments, Inc.
     Vice President, Cash Account Trust
     Vice President, Cash Equivalent Fund
     Vice President, Galaxy Offshore, Inc.
     Vice President, Investors Cash Trust
     Vice President, Kemper Adjustable Rate U.S. Government Fund
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper Global Income Fund
     Vice President, Kemper High Income Trust
     Vice President, Kemper High Yield Fund
     Vice President, Kemper Income and Capital Preservation Fund
     Vice President, Kemper Intermediate Government Trust
     Vice President, Kemper International Bond Fund
     Vice President, Kemper Investors Fund
     Vice President, Kemper Money Funds
     Vice President, Kemper Multi-Market Income Trust
     Vice President, Kemper Municipal Income Trust
     Vice President, Kemper National Tax-Free Income Series
     Vice President, Kemper Portfolios
     Vice President, Kemper State Tax-Free Income Series
     Vice President, Kemper Strategic Income Fund
     Vice President, Kemper Strategic Municipal Income Trust
     Vice President, Kemper U.S. Government Securities Fund
     Vice President, Tax-Exempt California Money Market Fund
     Vice President, Tax-Exempt New York Money Market Fund

COXON, JAMES H.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Director, Vice President, Galaxy Offshore, Inc.



                                     C-5
<PAGE>   110
     Executive Vice President, Zurich Investment Management, Inc.

FERRO, DENNIS H.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Director, Managing Director-Equities, Zurich Investment
     Management Limited
     Vice President, Kemper International Fund
     Vice President, Kemper Investors Fund
     Vice President, Kemper Target Equity Fund
     Vice President, The Growth Fund of Spain, Inc.
     Vice President, Kemper Europe Fund

GREENAWALT, JAMES L.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Director, Executive Vice President, Kemper Distributors, Inc.


JOHNS, GORDON K.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Global Income Fund
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper International Bond Fund
     Vice President, Kemper International Management, Inc.
     Managing Director, Zurich Investment Management Limited
     Vice President, Kemper Multi-Market Income Trust
     Director, Thames Heritage Parade Limited

LANGBAUM, GARY A.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Total Return Fund
     Vice President, Kemper Investors Fund

MANZONI, JR., CHARLES R.
     Executive Vice President, Secretary & General Counsel, Zurich Kemper
     Investments, Inc.

MURRIHY, MAURA J.
     Executive Vice President, Zurich Kemper Investments, Inc.

REYNOLDS, STEVEN H.
     Executive Vice President, Chief Investment Officer - Equities, Zurich
     Kemper Investments, Inc.
     Vice President, Kemper Technology Fund
     Vice President, Kemper Total Return Fund
     Vice President, Kemper Growth Fund
     Vice President, Kemper Small Capitalization Equity Fund
     Vice President, Kemper International Fund
     Vice President, Kemper Blue Chip Fund
     Vice President, Kemper Value Plus Growth Fund
     Vice President, Kemper Quantitative Equity Fund
     Vice President, Kemper Target Equity Fund
     Vice President, Kemper Horizon Fund
     Vice President, Kemper Investors Fund
     Vice President, The Growth Fund of Spain, Inc.
     Vice President, Kemper Europe Fund



                                     C-6
<PAGE>   111
ROBERTS, SCOTT A.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Director, Executive Vice President, Zurich Investment Management, Inc.

SILIGMUELLER, DALE S.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Director, Executive Vice President, Kemper Service Company

WEISS, ROBERT D.
     Executive Vice President, Zurich Kemper Investments, Inc.
     Executive Vice President, Zurich Investment Management, Inc.

BUKOWSKI, DANIEL J.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Quantitative Equity Fund
     Vice President, Kemper Value Plus Growth Fund
     Vice President, Kemper Investors Fund

BUTLER, DAVID H.
     Senior Vice President, Zurich Kemper Investments, Inc.

CERVONE, DAVID M.
     Senior Vice President, Zurich Kemper Investments, Inc.

CESSINE, ROBERT S.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Income and Capital Preservation Fund
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper Multi-Market Income Trust
     Vice President, Kemper Investors Fund

CHESTER, TRACY McCORMICK
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Blue Chip Fund
     Vice President, Kemper Target Equity Fund

CIARLELLI, ROBERT W.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Executive Vice President, Kemper Service Company

COLLECCHIA, FRANK E.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Zurich Investment Management, Inc.
     Senior Investment Officer, Federal Kemper Life Assurance
     Company
     Senior Investment Officer, Fidelity Life Association
     Vice President, Galaxy Offshore, Inc.
     Senior Investment Officer, Kemper Investors Life Insurance
     Company

COLLORA, PHILIP J.
     Senior Vice President and Assistant Secretary, Zurich Kemper
     Investments, Inc.
     Vice President and Secretary, Kemper Funds



                                     C-7
<PAGE>   112
     Assistant Secretary, Kemper International Management, Inc.
     Assistant Secretary, Zurich Investment Management, Inc.
     Assistant Secretary, Dreman Value Advisors, Inc.

DUDASIK, PATRICK H.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Executive Vice President, Chief Financial Officer and Treasurer,
     Dreman Value Advisors, Inc.
     Vice President and Treasurer, Zurich Investment Management, Inc.
     Treasurer and Chief Financial Officer, Kemper Distributors, Inc.
     Treasurer and Chief Financial Officer, Kemper Service Company
     Director and Treasurer, Zurich Investment Management Limited

DUFFY, JEROME L.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Treasurer, Kemper Funds

FINK, THOMAS M.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Zurich Investment Management, Inc.

GALLAGHER, MICHAEL L.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Kemper Service Company

GLASSMAN, HARVEY
     Senior Vice President, Zurich Kemper Investments, Inc.

GOERS, RICHARD A.
     Senior Vice President, Zurich Kemper Investments, Inc.

GREENWALD, MARSHALL L.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Zurich Investment Management, Inc.

HARRINGTON, MICHAEL E.
     Senior Vice President, Zurich Kemper Investments, Inc.

KLEIN, GEORGE
     Senior Vice President, Zurich Kemper Investments, Inc.
     Director, Executive Vice President, Zurich Investment Management, Inc.

KLEIN, MARTY
     Senior Vice President, Zurich Kemper Investments, Inc.

KORTH, FRANK D.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Technology Fund

McNAMARA, MICHAEL A.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper High Income Trust
     Vice President, Kemper High Yield Fund

                                     C-8
<PAGE>   113
     Vice President, Kemper Investors Fund
     Vice President, Kemper Multi-Market Income Trust
     Vice President, Kemper Strategic Income Fund

MOORE, C. PERRY
     Senior Vice President, Zurich Kemper Investments, Inc.

MIER, CHRISTOPHER J.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper National Tax-Free Income Series
     Vice President, Kemper Municipal Income Trust
     Vice President, Kemper State Tax-Free Income Series
     Vice President, Kemper Strategic Municipal Income Trust

RABIEGA, CRAIG F.
     Senior Vice President, Zurich Kemper Investments, Inc.
     First Vice President, Kemper Service Company

RACHWALSKI, JR. FRANK J.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Cash Account Trust
     Vice President, Cash Equivalent Fund
     Vice President, Investors Cash Trust
     Vice President, Kemper Investors Fund
     Vice President, Kemper Money Funds
     Vice President, Kemper Portfolios
     Vice President, Tax-Exempt California Money Market Fund
     Vice President, Tax-Exempt New York Money Market Fund

REGNER, THOMAS M.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Horizon Fund
     Vice President, Kemper Investors Fund

RESIS, JR., HARRY E.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper High Income Trust
     Vice President, Kemper High Yield Fund
     Vice President, Kemper Investors Fund
     Vice President, Kemper Multi-Market Income Trust
     Vice President, Kemper Strategic Income Fund

SCHUMACHER, ROBERT T.
     Senior Vice President, Zurich Kemper Investments, Inc.

SILVIA, JOHN E.
     Senior Vice President, Zurich Kemper Investments, Inc.

SMITH, JR., EDWARD BYRON
     Senior Vice President, Zurich Kemper Investments, Inc.

SWANSON, DAVID
     Senior Vice President, Zurich Kemper Investments, Inc.



                                     C-9
<PAGE>   114
THOUIN-LEERKAMP, EDITH A.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Director-European Equities, Zurich Investment Management Limited
     Vice President, Kemper Europe Fund

VANDENBERG, RICHARD
     Senior Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper U.S. Government Securities Fund
     Vice President, Kemper Portfolios
     Vice President, Kemper Adjustable Rate U.S. Government Fund

VINCENT, CHRISTOPHER T.
     Senior Vice President, Zurich Kemper Investments, Inc.
     First Vice President, Zurich Investment Management, Inc.

WONNACOTT, LARRY R.
     Senior Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Zurich Investment Management, Inc.

BAZAN, KENNETH M.
     First Vice President, Zurich Kemper Investments, Inc.
     Director, K-P Greenway, Inc.
     Director, K-P Plaza Dallas, Inc.
     Director, Kemper/Prime Acquisition Fund, Inc.

BOEHM, JONATHAN J.
     First Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Kemper Service Company

BURROW, DALE R.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Strategic Municipal Income Trust

BYRNES, ELIZABETH A.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Adjustable Rate U.S. Government Fund
     Vice President, Kemper Intermediate Government Trust

CHIEN, CHRISTINE
     First Vice President, Zurich Kemper Investments, Inc.

CHRISTIANSEN, HERBERT A.
     First Vice President, Zurich Kemper Investments, Inc.
     First Vice President, Kemper Service Company

COHEN, JERRI I.
     First Vice President, Zurich Kemper Investments, Inc.

DeMAIO, CHRIS C.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President and Chief Accounting Officer, Kemper Service
     Company

                                     C-10
<PAGE>   115
DEXTER, STEPHEN P.
     First Vice President, Zurich Kemper Investments, Inc.

DOYLE, DANIEL J.
     First Vice President, Zurich Kemper Investments, Inc.

FENGER, JAMES E.
     First Vice President, Zurich Kemper Investments, Inc.

HALE, DAVID D.
     First Vice President, Zurich Kemper Investments, Inc.

HORTON, ROBERT J.
     First Vice President, Zurich Kemper Investments, Inc.

INNES, BRUCE D.
     First Vice President, Zurich Kemper Investments, Inc.
     Co-President, International Association of Corporate and
     Professional Recruiters

JACOBS, PETER M.
     First Vice President, Zurich Kemper Investments, Inc.

KEELEY, MICHELLE M.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Intermediate Government Trust
     Vice President, Kemper Portfolios

KIEL, CAROL L.
     First Vice President, Zurich Kemper Investments, Inc.

KNAPP, WILLIAM M.
     First Vice President, Zurich Kemper Investments, Inc.

LAUGHLIN, ANN M.
     First Vice President, Zurich Kemper Investments, Inc.

LENTZ, MAUREEN P.
     First Vice President, Zurich Kemper Investments, Inc.

McCRINDLE-PETRARCA, SUSAN
     First Vice President, Zurich Kemper Investments, Inc.

MINER, EDWARD
     First Vice President, Zurich Kemper Investments, Inc.

MURRAY, SCOTT S.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

NORRIS, JOHNSTON A.
     First Vice President, Zurich Kemper Investments, Inc.


                                     C-11
<PAGE>   116
PANOZZO, ROBERTA L.
     First Vice President, Zurich Kemper Investments, Inc.

RADIS, STEVE A.
     First Vice President, Zurich Kemper Investments, Inc.

RATEKIN, DIANE E.
     First Vice President, Assistant General Counsel and Assistant
     Secretary, Zurich Kemper Investments, Inc.
     Assistant Secretary, Kemper Distributors, Inc.

STUEBE, JOHN W.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Cash Account Trust
     Vice President, Cash Equivalent Fund

TEPPER, SHARYN A.
     First Vice President, Zurich Kemper Investments, Inc.

TRUTTER, JONATHAN W.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Diversified Income Fund
     Vice President, Kemper Multi-Market Income Trust
     Vice President, Kemper Strategic Income Fund

WETHERALD, ROBERT F.
     First Vice President, Zurich Kemper Investments, Inc.

WILLSON, STEPHEN R.
     First Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Strategic Municipal Income Trust

WITTNEBEL, MARK E.
     First Vice President, Zurich Kemper Investments, Inc.

ADAMS, DONALD
     Vice President, Zurich Kemper Investments, Inc.

ALLEN, PATRICIA L.
     Vice President, Zurich Kemper Investments, Inc.

ANDREASEN, AMY
     Vice President, Zurich Kemper Investments, Inc.

ANTONAK, GEORGE A.
     Vice President, Zurich Kemper Investments, Inc.

BALASUBRAMANIAM, KALAMADI
     Vice President, Zurich Kemper Investments, Inc.

BARRY, JOANN M.
     Vice President, Zurich Kemper Investments, Inc.




                                     C-12
<PAGE>   117
BIEBERLY, CHRISTINE A.
     Vice President, Zurich Kemper Investments, Inc.

BODEM, RICHARD A.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

BUCHANAN, PAMELA S.
     Vice President, Zurich Kemper Investments, Inc.

BURKE, MARY PAT
     Vice President, Zurich Kemper Investments, Inc.

BURSHTAN, DAVID H.
     Vice President, Zurich Kemper Investments, Inc.

CARNEY, ANNE T.
     Vice President, Zurich Kemper Investments, Inc.

CACCIOLA, RONALD
     Vice President, Zurich Kemper Investments, Inc.
     Senior Vice President, Zurich Investment Management, Inc.

CARTER, PAUL J.
     Vice President and Compliance Manager, Zurich Kemper Investments, Inc.

COHEN, JERRI I.
     Vice President, Zurich Kemper Investments, Inc.

ESOLA, CHARLES J.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

FRIHART, THORA A.
     Vice President, Zurich Kemper Investments, Inc.

GERACI, AUGUST L.
     Vice President, Zurich Kemper Investments, Inc.

GOLAN, JAMES S.
     Vice President, Zurich Kemper Investments, Inc.

GOODWIN, JUDITH C.
     Vice President, Zurich Kemper Investments, Inc.

GRAY, PATRICK
     Vice President, Zurich Kemper Investments, Inc.

GROOTENDORST, TONYA
     Vice President, Zurich Kemper Investments, Inc.

HECHT, MARC L.
     Vice President, Zurich Kemper Investments, Inc.


                                     C-13
<PAGE>   118
HUM, CHI H.
     Vice President, Zurich Kemper Investments, Inc.

HUOT, LISA L.
     Vice President, Zurich Kemper Investments, Inc.

JASINSKI, R. ANTHONY
     Vice President, Zurich Kemper Investments, Inc.

KARWOWSKI, KENNETH F.
     Vice President, Zurich Kemper Investments, Inc.

KENNEDY, PATRICK J.
     Vice President, Zurich Kemper Investments, Inc.

KOCH, DEBORAH L.
     Vice President, Zurich Kemper Investments, Inc.

KOURY, KATHRYN E.
     Vice President, Zurich Kemper Investments, Inc.

KOWALCZYK, MARK A.
     Vice President, Zurich Kemper Investments, Inc.

KRANZ, KATHY J.
     Vice President, Zurich Kemper Investments, Inc.

KRUEGER, PAMELA D.
     Vice President, Zurich Kemper Investments, Inc.

KYCE, JOYCE
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

LASKA, ROBERTA E.
     Vice President, Zurich Kemper Investments, Inc.

LAUTZ, STEPHEN
     Vice President, Zurich Kemper Investments, Inc.

LeFEBVRE, THOMAS J.
     Vice President, Zurich Kemper Investments, Inc.

McGOVERN, KAREN B.
     Vice President, Zurich Kemper Investments, Inc.

MILLER, GARY L.
     Vice President, Zurich Kemper Investments, Inc.

MILLIGAN, BRIAN J.
     Vice President, Zurich Kemper Investments, Inc.

MITCHELL, KATHERINE H.
     Vice President, Zurich Kemper Investments, Inc.



                                     C-14
<PAGE>   119
MULLEN, TERRENCE
     Vice President, Zurich Kemper Investments, Inc.    

MURPHY, THOMAS M.
     Vice President, Zurich Kemper Investments, Inc.    

NEVILLE, BRIAN P.
     Vice President, Zurich Kemper Investments, Inc.

NORMAN, JR., DONALD L.
     Vice President, Zurich Kemper Investments, Inc.

NOWAK, GREGORY J.
     Vice President, Zurich Kemper Investments, Inc.

PANOZZO, ALBERT R.
     Vice President, Zurich Kemper Investments, Inc.

PAXTON, THOMAS
     Vice President, Zurich Kemper Investments, Inc.

PONTECORE, SUSAN E.
     Vice President, Zurich Kemper Investments, Inc.

QUADRINI, LISA L.
     Vice President, Zurich Kemper Investments, Inc.

RANDALL, JR., WALTER R.
     Vice President, Zurich Kemper Investments, Inc.

ROBINSON, DEBRA A.
     Vice President, Zurich Kemper Investments, Inc.

RODGERS, JOHN B.
     Vice President, Zurich Kemper Investments, Inc.

ROKOSZ, PAUL A.
     Vice President, Zurich Kemper Investments, Inc.

ROSE, KATIE M.
     Vice President, Zurich Kemper Investments, Inc.

RUDIN, MICHELLE I.
     Vice President, Zurich Kemper Investments, Inc.

SHULTZ, KAREN D.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

SMITH, ROBERT G.
     Vice President, Zurich Kemper Investments, Inc.

SOPHER, EDWARD O.
     Vice President, Zurich Kemper Investments, Inc.


                                     C-15
<PAGE>   120
SPILLER, KATHLEEN A.
     Vice President, Zurich Kemper Investments, Inc.

SPURLING, CHRIS
     Vice President, Zurich Kemper Investments, Inc.

STROMM, LAWRENCE D.
     Vice President, Zurich Kemper Investments, Inc.

THOMAS, JILL
     Vice President, Zurich Kemper Investments, Inc.

VANDEMERKT, RICHARD J.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

WALKER, ANGELA
     Vice President, Zurich Kemper Investments, Inc.

WATKINS, JAMES K.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Service Company

WERTH, ELIZABETH C.
     Vice President, Zurich Kemper Investments, Inc.
     Vice President, Kemper Distributors, Inc.
     Assistant Secretary, Kemper Open-End Mutual Funds

WILNER, MITCHELL
     Vice President, Zurich Kemper Investments, Inc.

WIZER, BARBARA K.
     Vice President, Zurich Kemper Investments, Inc.

ZURAWSKI, CATHERINE N.
     Vice President, Zurich Kemper Investments, Inc.

                                     C-16
<PAGE>   121
Item 28(b)(ii) Business and Other Connections of Officers and Directors of
Dreman Value Advisors, Inc., the Investment Sub-Advisor

DREMAN, DAVID N.
  Director, Chairman of the Board, Dreman Value Advisors, Inc.
  Vice President, Kemper-Dreman Fund, Inc.
  Vice President, Kemper Value Plus Growth Fund

NEAL, JOHN E.
  Director, Dreman Value Advisors, Inc.
  Director, Zurich Kemper Investments, Inc.
  President, Kemper Funds Group, a unit of Zurich Kemper
  Investments, Inc.
  Director, President, Kemper Service Company
  Director, Kemper Distributors, Inc.
  Director, Zurich Investment Management, Inc.
  Director, Community Investment Corporation
  Director, Continental Community Development Corporation
  Director, K-P Greenway, Inc.
  Director, K-P Plaza Dallas, Inc.
  Director, Kemper/Prime Acquisition Fund, Inc.
  Director, RespiteCare
  Director, Urban Shopping Centers, Inc.
  Vice President, Kemper Funds

TIMBERS, STEPHEN B.
  Director, Dreman Value Advisors, Inc.
  Director, President, Chief Executive Officer and Chief Investment
  Officer, Zurich Kemper Investments, Inc. 
  Director, Kemper Distributors, Inc.
  Director, Chairman, Zurich Investment Management, Inc.
  Director, Chairman, Kemper Service Company
  Director, President, Kemper International Management, Inc.
  Trustee and President, Kemper Funds
  Director, The LTV Corporation
  Director, Investment Analysts Society of Chicago
  Governor, Investment Company Institute
  Director, ZKI Agency, Inc.

NEEL, JAMES R.
  Director, President and Chief Executive Officer, Dreman Value
  Advisors, Inc.
  Vice President, Kemper-Dreman Fund, Inc.

BERTELSEN, CHRISTIAN C.
  Senior Managing Director and Chief Investment Officer, Dreman
  Value Advisors, Inc.

DUDASIK, PATRICK H.
  Executive Vice President, Chief Financial Officer and Treasurer, 
  Dreman Value Advisors, Inc.
  Senior Vice President, Zurich Kemper Investments, Inc. 


     
                                     C-17
<PAGE>   122
  Vice President and Treasurer, Zurich Investment Management, Inc.      
  Treasurer and Chief Financial Officer, Kemper Distributors, Inc.      
  Treasurer and Chief Financial Officer, Kemper Service Company         
  Director and Treasurer, Zurich Investment Management Limited                
  Treasurer, ZKI Agency, Inc.                                           
                                                                        
COUGHLIN, WILLIAM F.
  Managing Director, Dreman Value Advisors, Inc.

MASTAIN, JR., RICHARD K.
  Managing Director, Dreman Value Advisors, Inc.

SASSI, THOMAS
  Managing Director, Dreman Value Advisors, Inc.

SHIPMAN, STEPHEN E.
  Managing Director, Dreman Value Advisors, Inc.

STOKES, STEVEN T.
  Managing Director, Dreman Value Advisors, Inc.

EPSTEIN, HARRY
  Vice President, Operations, Dreman Value Advisors, Inc.

KAY, JONATHAN S.
  Vice President, Dreman Value Advisors, Inc.

McRAE, SUSAN A.
  Vice President, Dreman Value Advisors, Inc.

MORRISSEY, JOSYANE
  Vice President, Dreman Value Advisors, Inc.

RIDER, JOSEPH K.
  Vice President, Dreman Value Advisors, Inc.

COLLORA, PHILIP J.
  Assistant Secretary, Dreman Value Advisors, Inc.




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 Mutual
Funds, Kemper Investors Fund, Kemper International Bond Fund and the
Kemper-Dreman 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 120 South Lasalle Street, Chicago, Illinois
60603.

<TABLE>
<CAPTION>
                                                                      POSITIONS AND
                              POSITIONS AND OFFICES                   OFFICES WITH
         NAME                   WITH UNDERWRITER                       REGISTRANT
         ----                    ----------------                      ----------
<S>                        <C>                                     <C>
Willam E. Chapman, II       Director, Executive Vice President            None                 
James L. Greenawalt         Director, Executive Vice President            None                 
John E. Neal                Director                                  Vice President           
Stephen B. Timbers          Director                                 President, Trustee        
Patrick H. Dudasik          Financial Principal, Treasurer                                     
                            and Chief Financial Officer                    None                
Linda A. Bercher            Senior Vice President                          None                
Terry Cunningham            Senior Vice President                          None                
John H. Robison, Jr.        Senior Vice President                          None                
Henry J. Schulthesz         Senior Vice President                          None                
Thomas V. Bruns             Vice President                                 None                
Carlene D. Merold           Vice President                                 None                
Elizabeth C. Werth          Vice President                         Assistant Secretary         
Diane E. Ratekin            Assistant Secretary                            None                
</TABLE>                                                                       
                                                                               
         (c) Not applicable.                                                   
            
                                                                               
                

                                     C-18

<PAGE>   123
 
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, Kemper Financial
Services, Inc. and the principal underwriter, Kemper Distributors, Inc., 120
South LaSalle Street, Chicago, Illinois 60603, the offices of the sub-adviser,
Dreman Value Advisors, Inc., 10 Exchange Place, Jersey City, New Jersey 07302,
at the offices of the custodian and transfer agent, Investors Fiduciary Trust
Company, 127 West 10th Street, 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.
 
                                      C-19
<PAGE>   124
 
                                   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 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 26th day of
August, 1996.
 
                                          KEMPER HORIZON FUND
 
                                                    /s/ STEPHEN B. TIMBERS
                                          By:
 
                                                Stephen B. Timbers, President
 
     Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed below on August 26, 1996 on behalf of the
following persons in the capacities indicated.
 
<TABLE>
<CAPTION>
                              SIGNATURE                                            TITLE
- ----------------------------------------------------------------------     ---------------------
<C>                                                                        <S>
                        /s/ STEPHEN B. TIMBERS                             President (Principal
- ----------------------------------------------------------------------     Executive Officer)
                          Stephen B. Timbers                               and Trustee
                         /s/ JAMES E. AKINS*                               Trustee
- ----------------------------------------------------------------------
                      /s/ ARTHUR R. GOTTSCHALK*                            Trustee
- ----------------------------------------------------------------------
                       /s/ FREDERICK T. KELSEY*                            Trustee
- ----------------------------------------------------------------------
                       /s/ DOMINIQUE P. MORAX*                             Trustee
- ----------------------------------------------------------------------
                         /s/ FRED B. RENWICK*                              Trustee
- ----------------------------------------------------------------------
                        /s/ JOHN B. TINGLEFF*                              Trustee
- ----------------------------------------------------------------------
                        /s/ JOHN G. WEITHERS*                              Trustee
- ----------------------------------------------------------------------
                         /s/ JEROME L. DUFFY                               Treasurer (Principal
- ----------------------------------------------------------------------     Financial and
                           Jerome L. Duffy                                 Accounting Officer)
</TABLE>
 
* Philip J. Collora signs this document pursuant to powers of attorney filed
  herewith.
 
                                                  /s/ PHILIP J. COLLORA
 
                                          --------------------------------------
                                                    Philip J. Collora
<PAGE>   125
 
                              KEMPER HORIZON FUND
 
                               INDEX TO EXHIBITS
 
Exhibits
 
   
<TABLE>
    <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).    Sub-Advisory Agreement.
    99.B6(a).    Underwriting and Distribution Services Agreement.
    99.B6(b).    Form of Selling Group Agreement.**
    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.B10.      Inapplicable.
    99.B11.      Consent and Report of Independent Auditors.
    99.B12.      Inapplicable.
    99.B13.      Inapplicable.
    99.B14(a).   Kemper Retirement Plan Prototype.**
    99.B14(b).   Model Individual Retirement Account.**
    99.B15.      See 6(a) above (Class B and Class C shares).
    99.B16.      Inapplicable.
    99.B18.      Multi-Distribution System Plan.
    99.B24.      Powers of Attorney.
    27           Financial Data Schedule.
    485.B        Representation of Counsel (Rule 485).
</TABLE>
    
 
- ---------------
   
 * 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.
    

<PAGE>   1

                                                               EXHIBIT 99.B4(e).

                   AMENDED AND RESTATED WRITTEN INSTRUMENT

                                 KEMPER HORIZON FUND

                                 AMENDED AND RESTATED
                           WRITTEN INSTRUMENT ESTABLISHING
                      AND DESIGNATING SEPARATE CLASSES OF SHARES

                                    March 6, 1996


               The undersigned constitute all the Trustees of Kemper
          Horizon Fund (the "Fund"), a Massachusetts business trust
          governed by an Agreement and Declaration of Trust dated June 12,
          1995 (the "Declaration of Trust").  This amended and restated
          instrument is executed pursuant to Section 1 of Article III of
          the Declaration of Trust in order to establish and designate
          separate classes of shares of any series of the Fund, is
          based in part upon resolutions of the Board of Trustees of the
          Fund adopted at meetings held on September 16, 1995 and March 6,
          1996 and amends and restates a prior written instrument related
          to the subject matter hereof.

               WHEREAS, Under the Declaration of Trust the Board of
          Trustees has the authority, in its discretion and without
          shareholder approval, to divide the shares of any series of the
          Fund into separate classes of shares;

               WHEREAS, This Board of Trustees has previously approved,
          subject to various conditions, the division of the shares of each
          series of the Fund into four classes of shares, to be named
          "Class A Shares," "Class B Shares," "Class C Shares" and "Class I
          Shares" and has on this date approved amendments to the terms of
          such division of shares;

               WHEREAS, This Board of Trustees deems it desirable and in
          the best interests of the Fund to amend and restate the terms and
          conditions governing the division of the shares of each series of
          the Fund, whether now existing or hereafter created (the
          "series"), into four separate classes of shares to be named, as
          previously indicated, "Class A Shares," "Class B Shares," "Class
          C Shares" and "Class I Shares" and the provision to investors of
          a conversion feature from Class B Shares to the Class A Shares,
          which conversion feature would thereby eliminate any distribution
          services fee then in effect under any plan adopted pursuant to
          Rule 12b-1 of the Investment Company Act of 1940 ("1940 Act") for
          such Class B Shares; and

               WHEREAS, This Board of Trustees believes that the creation
          of four separate classes of shares on the terms and conditions as
          amended and restated herein will be in the best interests of and




<PAGE>   2


          will have no negative effects upon the current shareholders of
          the Fund;

               NOW, THEREFORE, the establishment and designation of
          separate classes of shares of any series of the Fund is approved
          in accordance with the following amended and restated provisions:

               1.   Subject to the conditions hereinafter set forth, the
          shares of any series shall be divided into four classes to be
          known respectively as the "Class A Shares," the "Class B Shares,"
          the "Class C Shares" and the "Class I Shares," which classes
          shall have such preferences and special or relative rights and
          privileges as may be determined from time to time by this Board
          of Trustees subject always to the Declaration of Trust and the
          1940 Act and the rules and regulations thereunder.

               2.   Subject to the terms of the Declaration of Trust, the
          Class A Shares, Class B Shares, Class C Shares and Class I Shares
          will have the same rights and privileges except that:

               (A)  The Class A Shares 

                    (1)  shall be sold subject to an initial sales charge
               as described in the prospectus for the Fund as from time to
               time in effect or shall be issued to shareholders in
               connection with the conversion feature as hereinafter
               described;

                    (2)  shall have an administrative service fee; 

                    (3)  shall not have a plan of distribution adopted
               under Rule 12b-1 of the 1940 Act ("Rule 12b-1 plan") and no
               fees payable under the Rule 12b-1 plans for the Class B
               Shares or Class C Shares shall be allocated or charged to
               the Class A Shares; and 

                    (4)  shall have such dividend reinvestment, exchange
               and redemption rights and privileges as may be described in
               the prospectus for the Fund as from time to time in effect;
               and 

               (B)  the Class B Shares 

                    (1)  shall be sold without an initial sales charge but
               subject to a contingent deferred sales charge imposed upon
               the redemption of the Class B shares as described in the
               prospectus of the Fund as from time to time in effect; 

                    (2)  shall have an administrative service fee; 

                    (3)  shall have a Rule 12b-1 plan and any fees payable
               from time to time under such plan shall be allocated and

                                          2



<PAGE>   3



               charged to, and any voting rights with respect to such plan
               shall be exercisable by, the Class B Shares only; 

                    (4)  shall convert to Class A Shares within a specified
               number of years as hereinafter described; and 

                    (5)  shall have such purchase, dividend reinvestment,
               exchange and redemption rights and privileges associated
               therewith as may be described in the prospectus for the Fund
               as from time to time in effect; and 

               (C)  the Class C Shares 

                    (1)  shall be sold without any initial sales charge or
               any contingent deferred sales charge except that, Class C
               shares sold on or after April 1, 1996 shall be subject to a
               contingent deferred sales charge as described in the
               prospectus for the Fund as from time to time in effect; 

                    (2)  shall have an administrative service fee; 

                    (3)  shall have a Rule 12b-1 plan and any fees payable
               from time to time under such plan shall be allocated and
               charged to, and any voting rights with respect to such plan
               shall be exercisable by, the Class C Shares only; and 

                    (4)  shall have such purchase, dividend reinvestment,
               exchange and redemption rights and privileges associated
               therewith as may be described in the prospectus for the Fund
               as from time to time in effect; and 

               (D)  the Class I Shares 

                    (1)  shall be sold without any initial sales charge or
               any contingent deferred sales charge; 

                    (2)  shall not have an administrative service fee; 

                    (3)  shall not have a Rule 12b-1 plan and no fees
               payable under the plans for the Class B Shares or Class C
               Shares shall be allocated or charged to the Class I Shares;
               and 

                    (4)  shall have such dividend reinvestment, exchange
               and redemption rights and privileges as may be described in
               the prospectus for the Fund as from time to time in effect.

               3.   Any shares of the Fund that were issued and outstanding
          at the time when shares of the Fund were originally divided into
          separate classes of shares as set forth above shall be classified
          as Class A Shares.


                                          3


<PAGE>   4



               4.   Class A Shares of a series shall be issued to holders
          of Class B Shares of the same series pursuant to the following
          described conversion feature:

                    (A)  Class B Shares will convert to Class A Shares six
               years after issuance of such Class B Shares; provided,
               however, that any Class B Shares issued in exchange for
               shares originally classified as Initial Shares of Kemper
               Portfolios, formerly known as Kemper Investment Portfolios
               (KP), whether in connection with a reorganization with a
               series of KP or otherwise, shall convert to Class A Shares
               seven years after issuance of such Initial Shares if such
               Initial Shares were issued prior to February 1, 1991;

                    (B)  Class B Shares issued upon reinvestment of income
               and capital gain dividends and other distributions will
               convert to Class A Shares on a pro rata basis with other
               Class B Shares; and

                    (C)  Conversion to Class A Shares shall be based upon
               the relative net asset values of the Class A Shares and the
               Class B Shares at the time of conversion.

               IN WITNESS WHEREOF, the undersigned have this 6th day of
          March, 1996 signed these presents.



                                        /s/ Stephen B. Timbers
                                        -----------------------------------
                                        Stephen B. Timbers
                                        210 South Green Bay Road
                                        Lake Forest, IL  60045

                                        (signatures continue)





                                      4


<PAGE>   5



                                        /s/ James E. Akins
                                        ------------------------------------
                                        James E. Akins 
                                        2904 Garfield Terrace, N.W.
                                        Washington, D.C.  20008-3507


                                        /s/ Arthur R. Gottschalk
                                        ------------------------------------
                                        Arthur R. Gottschalk 
                                        10642 Brookridge Drive
                                        Frankfort, Illinois  60423

                                        /s/ Frederick T. Kelsey
                                        ------------------------------------
                                        Frederick T. Kelsey, Trustee
                                        3133 Laughing Gull Court 
                                        Johns Island, South Carolina  29455


                                        /s/ Dominique P. Morax
                                        ------------------------------------
                                        Dominique P. Morax, Trustee
                                        Vordere Dorfstrasse 13
                                        8803 Ruschlikon
                                        Switzerland           


                                        /s/ Fred B. Renwick
                                        ------------------------------------
                                        Fred B. Renwick
                                        3 Hanover Square 
                                        New York, New York  10004


                                        /s/ Stephen B. Timbers
                                        ------------------------------------
                                        Stephen B. Timbers, Trustee
                                        210 South Green Bay Road
                                        Lake Forest, Illinois  60045

                                        /s/ John B. Tingleff
                                        ------------------------------------
                                        John B. Tingleff, Trustee
                                        2015 South Lake Shore Drive
                                        Harbor Springs, Michigan  49740


                                        /s/ John G. Weithers
                                        -------------------------------------
                                        John G. Weithers, Trustee
                                        311 Springlake 
                                        Hinsdale, Illinois  60521




<PAGE>   1

                                                               EXHIBIT 99.B5(a).

                       INVESTMENT MANAGEMENT AGREEMENT
             
                            INVESTMENT MANAGEMENT AGREEMENT


                  AGREEMENT made this 4th day of January, 1996, by and
             between KEMPER HORIZON FUND, a Massachusetts business trust
             (the "Fund"), and KEMPER FINANCIAL SERVICES, INC., a Delaware
             corporation (the "Adviser").

                  WHEREAS, the Fund is an open-end management investment
             company registered under the Investment Company Act of 1940,
             the shares of beneficial interest ("Shares") of which are
             registered under the Securities Act of 1933;

                  WHEREAS, the Fund is authorized to issue Shares in
             separate series or portfolios with each representing the
             interests in a separate portfolio of securities and other
             assets;

                  WHEREAS, the Fund currently offers or intends to offer
             Shares in three portfolios, the Kemper Horizon 20+ Portfolio,
             the Kemper 10+ Portfolio and the Kemper Horizon 5 Portfolio
             (the "Initial Portfolios"), together with any other Fund
             portfolios which may be established later and served by the
             Adviser hereunder, being herein referred to collectively as
             the "Portfolios" and individually referred to as a
             "Portfolio"; and

                  WHEREAS, the Fund desires at this time to retain the
             Adviser to render investment advisory and management services
             to the Initial Portfolios, and the Adviser is willing to
             render such services;

                  NOW THEREFORE, in consideration of the mutual covenants
             hereinafter contained, it is hereby agreed by and between the
             parties hereto as follows:

             1.   The Fund hereby employs the Adviser to act as the
             investment adviser for the Initial Portfolios and other
             Portfolios hereunder and to manage the investment and
             reinvestment of the assets of each such Portfolio in
             accordance with the applicable investment objectives and
             policies and limitations, and to administer the affairs of
             each such Portfolio to the extent requested by and subject to
             the supervision of the Board of Trustees of the Fund for the
             period and upon the terms herein set forth, and to place
             orders for the purchase or sale of portfolio securities for
             the Fund's account with brokers or dealers selected by it;
             and, in connection therewith, the Adviser is authorized as
             the agent of the Fund to give instructions to the Custodian
             of the Fund as to the deliveries of securities and payments


<PAGE>   2



             of cash for the account of the Fund.  In connection with the
             selection of such brokers or dealers and the placing of such
             orders, the Adviser is directed to seek for the Fund best
             execution of orders.  Subject to such policies as the Board
             of Trustees of the Fund determines, the Adviser shall not be
             deemed to have acted unlawfully or to have breached any duty,
             created by this Agreement or otherwise, solely by reason of
             its having caused the Fund to pay a broker or dealer an
             amount of commission for effecting a securities transaction
             in excess of the amount of commission another broker or
             dealer would have charged for effecting that transaction, if
             the Adviser determined in good faith that such amount of
             commission was reasonable in relation to the value of the
             brokerage and research services provided by such broker or
             dealer viewed in terms of either that particular transaction
             or the Adviser's overall responsibilities with respect to the
             clients of the Adviser as to which the Adviser exercises
             investment discretion.  The Fund recognizes that all research
             services and research that the Adviser receives or generates
             are available for all clients, and that the Fund and other
             clients may benefit thereby.  The investment of funds shall
             be subject to all applicable restrictions of the Agreement
             and Declaration of Trust and By-Laws of the Fund as may from
             time to time be in force.

                  The Adviser accepts such employment and agrees during
             such period to render such services, to furnish office
             facilities and equipment and clerical, bookkeeping and
             administrative services for the Fund, to permit any of its
             officers or employees to serve without compensation as
             trustees or officers of the Fund if elected to such positions
             and to assume the obligations herein set forth for the
             compensation herein provided.  The Adviser shall for all
             purposes herein provided be deemed to be an independent
             contractor and, unless otherwise expressly provided or
             authorized, shall have no authority to act for or represent
             the Fund in any way or otherwise be deemed an agent of the
             Fund.  It is understood and agreed that the Adviser, by
             separate agreements with the Fund, may also serve the Fund in
             other capacities.

             2.   In the event that the Fund establishes one or more
             portfolios other than the Initial Portfolios with respect to
             which it desires to retain the Adviser to render investment
             advisory and management services hereunder, it shall notify
             the Adviser in writing.  If the Adviser is willing to render
             such services, it shall notify the Fund in writing whereupon
             such portfolio or portfolios shall become a Portfolio or
             Portfolios hereunder.

             3.   For the services and facilities described in Section 1,
             the Fund will pay to the Adviser at the end of each calendar

                                           2

<PAGE>   3




             month, an investment management fee for each Portfolio
             computed by applying the following annual rates to the
             applicable average daily net assets of the Portfolio:

             <TABLE>
             <CAPTION>
                      Applicable Average
                       Daily Net Assets
                         (Thousands)                    Annual Rate
                      ------------------                -----------
                  <S>                                   <C>
                           $0 - $   250,000             .58 of 1%
                  $   250,000 - $ 1,000,000             .55 of 1%
                  $ 1,000,000 - $ 2,500,000             .53 of 1%
                  $ 2,500,000 - $ 5,000,000             .51 of 1%
                  $ 5,000,000 - $ 7,500,000             .48 of 1%
                  $ 7,500,000 - $10,000,000             .46 of 1%
                  $10,000,000 - $12,500,000             .44 of 1%
                           Over $12,500,000             .42 of 1%

             </TABLE>

                  The fee as computed above shall be computed separately
             for, and charged as an expense of, each Portfolio based upon
             the average daily net assets of such Portfolio.  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.

             4.   The services of the Adviser to the Fund under this
             Agreement are not to be deemed exclusive, and the Adviser
             shall be free to render similar services or other services to
             others so long as its services hereunder are not impaired
             thereby.

             5.   In addition to the fee of the Adviser, the Fund shall
             assume and pay any expenses for services rendered by a
             custodian for the safekeeping of the Fund's securities or
             other property, for keeping its books of account, for any
             other charges of the custodian, and for calculating the net
             asset value of the Fund as provided in the prospectus of the
             Fund.  The Adviser shall not be required to pay and the Fund
             shall assume and pay the charges and expenses of its
             operations, including compensation of the trustees (other
             than those affiliated with the Adviser), charges and expenses
             of independent auditors, of legal counsel, of any transfer or
             dividend disbursing agent, and of any registrar of the Fund,
             costs of acquiring and disposing of portfolio securities,
             interest, if any, on obligations incurred by the Fund, costs
             of share certificates and of reports, membership dues in the
             Investment Company Institute or any similar organization,
             costs of reports and notices to shareholders, other like

                                           3


<PAGE>   4


             miscellaneous expenses and all taxes and fees payable to
             federal, state or other governmental agencies on account of
             the registration of securities issued by the Fund, filing of
             trust documents or otherwise.  The Fund shall not pay or
             incur any obligation for any expenses for which the Fund
             intends to seek reimbursement from the Adviser as herein
             provided without first obtaining the written approval of the
             Adviser.  The Adviser shall arrange, if desired by the Fund,
             for officers or employees of the Adviser to serve, without
             compensation from the Fund, as trustees, officers or agents
             of the Fund if duly elected or appointed to such positions
             and subject to their individual consent and to any
             limitations imposed by law.

                  If expenses borne by the Fund for those Portfolios which
             the Adviser manages in any fiscal year (including the
             Adviser's fee, but excluding interest, taxes, fees incurred
             in acquiring and disposing of portfolio securities,
             distribution services fees, extraordinary expenses and any
             other expenses excludable under state securities law
             limitations) exceed any applicable limitation arising under
             state securities laws, the Adviser will reduce its fee or
             reimburse the Fund for any excess to the extent required by
             such state securities laws.  If for any month the expenses of
             the Fund properly chargeable to the income account shall
             exceed 1/12 of the percentage of average net assets allowable
             as expenses, the payment to the Adviser for that month shall
             be reduced and if necessary the Adviser shall make a refund
             payment to the Fund so that the total net expense will not
             exceed such percentage.  As of the end of the Fund's fiscal
             year, however, the foregoing computations and payments shall
             be readjusted so that the aggregate compensation payable to
             the Adviser for the year is equal to the percentage
             calculated in accordance with Section 3 hereof of the average
             net asset value as determined as described herein throughout
             the fiscal year, diminished to the extent necessary so that
             the total of the aforementioned expense items of the Fund
             shall not exceed the expense limitation.  The aggregate of
             repayments, if any, by the Adviser to the Fund for the year
             shall be the amount necessary to limit the said net expense
             to said percentage in accordance with the foregoing.

                  The net asset value for each Portfolio shall be
             calculated in accordance with the provisions of the Fund's
             prospectus or as the trustees may determine in accordance
             with the provisions of the Investment Company Act of 1940. 
             On each day when net asset value is not calculated, the net
             asset value of a Portfolio shall be deemed to be the net
             asset value of such Portfolio as of the close of business on
             the last day on which such calculation was made for the
             purpose of the foregoing computations.


                                           4


<PAGE>   5


             6.   Subject to applicable statutes and regulations, it is
             understood that trustees, officers or agents of the Fund are
             or may be interested in the Adviser as officers, directors,
             agents, shareholders or otherwise, and that the officers,
             directors, shareholders and agents of the Adviser may be
             interested in the Fund otherwise than as a trustee, officer
             or agent.

             7.   The Adviser 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 this Agreement relates,
             except loss resulting from willful misfeasance, bad faith or
             gross negligence on the part of the Adviser in the
             performance of its obligations and duties or by reason of its
             reckless disregard of its obligations and duties under this
             Agreement.

             8.   This Agreement shall become effective with respect to
             the Initial Portfolios on the date hereof and shall remain in
             full force until April 1, 1997, unless sooner terminated as
             hereinafter provided.  This Agreement shall continue in force
             from year to year thereafter with respect to each Portfolio,
             but only as long as such continuance is specifically approved
             for each Portfolio at least annually in the manner required
             by the Investment Company Act of 1940 and the rules and
             regulations thereunder; provided, however, that if the
             continuation of this Agreement is not approved for a
             Portfolio, the Adviser may continue to serve in such capacity
             for such Portfolio in the manner and to the extent permitted
             by the Investment Company Act of 1940 and the rules and
             regulations thereunder.

                  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 the
             Adviser on sixty (60) days written notice to the other party. 
             The Fund may effect termination with respect to any Portfolio
             by action of the Board of Trustees or by vote of a majority
             of the outstanding voting securities of such Portfolio.

                  This Agreement may be terminated with respect to any
             Portfolio 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 such Portfolio in the event
             that it shall have been established by a court of competent
             jurisdiction that the Adviser or any officer or director of
             the Adviser has taken any action which results in a breach of
             the covenants of the Adviser set forth herein.

                  The terms "assignment" and "vote of a majority of the
             outstanding voting securities" shall have the meanings set


                                           5


<PAGE>   6



             forth in the Investment Company Act of 1940 and the rules and
             regulations thereunder.

                  Termination of this Agreement shall not affect the right
             of the Adviser to receive payments on any unpaid balance of
             the compensation described in Section 3 earned prior to such
             termination.

             9.   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.

             10.   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.

             11.   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 the Adviser for recovery of that portion of the
             investment management fee (or any other liability of the Fund
             arising hereunder) allocated to a particular Portfolio,
             whether in accordance with the express terms hereof or
             otherwise, the Adviser shall have recourse solely against the
             assets of that Portfolio to satisfy such claim and shall have
             no recourse against the assets of any other Portfolio for
             such purpose.

             12.   This Agreement shall be construed in accordance with
             applicable federal law and (except as to Section 11 hereof
             which shall be construed in accordance with the laws of The
             Commonwealth of Massachusetts) the laws of the State of
             Illinois.











                                           6

<PAGE>   7

             13.   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.

                  IN WITNESS WHEREOF, the Fund and the Adviser have caused
             this Agreement to be executed as of the day and year first
             above written.


                                          KEMPER HORIZON FUND


                                          By:  /s/ John E. Peters
                                             ---------------------------

                                          Title:  Vice President
                                                ------------------------

             ATTEST:

             /s/ Philip J. Collora
             -----------------------------

             Title:  Secretary
                   -----------------------


                                          KEMPER FINANCIAL SERVICES, INC.


                                          By:  /s/ Patrick H. Dudasik
                                             ---------------------------

                                          Title:  Senior Vice President
                                                ------------------------

             ATTEST:

             /s/ David F. Dierenfeldt
             -----------------------------

             Title:  Assistant Secretary
                   -----------------------







                                           7



<PAGE>   1
                                                              EXHIBIT 99.B5(b).

                           SUB-ADVISORY AGREEMENT

                           SUB-ADVISORY AGREEMENT

                                      
               AGREEMENT made this 4th day of January, 1996, by and between
          KEMPER FINANCIAL SERVICES, INC., a Delaware corporation (the
          "Adviser") and DREMAN VALUE ADVISORS, INC., a Delaware
          corporation (the "Sub-Adviser").

               WHEREAS, KEMPER HORIZON FUND, a Massachusetts business trust
          (the "Fund") is an open-end management investment company
          registered under the Investment Company Act of 1940, the shares
          of beneficial interest ("Shares") of each series of which are
          registered under the Securities Act of 1933;

               WHEREAS, the Fund has retained the Adviser to render to it
          investment advisory and management services pursuant to an
          Investment Management Agreement, dated January 4, 1996 (the
          "Management Agreement"); and 

               WHEREAS, the Adviser desires at this time to retain the
          Sub-Adviser to render investment advisory and management services
          with respect to that portion of the portfolio of each series of
          the Fund allocated to the Sub-Adviser by the Adviser for
          management and the Sub-Adviser is willing to render such
          services;  

               NOW THEREFORE, in consideration of the mutual covenants
          hereinafter contained, it is hereby agreed by and between the
          parties hereto as follows:

          1.   The Adviser hereby employs the Sub-Adviser to manage the
          investment and reinvestment of the assets of the Fund allocated
          by the Adviser in its sole discretion to the Sub-Adviser for
          management in accordance with the applicable investment
          objectives and policies and limitations and subject to the
          supervision of the Adviser and the Board of Trustees of the Fund
          for the period and upon the terms herein set forth, and to place
          orders for the purchase or sale of portfolio securities for the
          Fund's account with brokers or dealers selected by the
          Sub-Adviser; and, in connection therewith, the Sub-Adviser is
          authorized as the agent of the Fund to give instructions to the
          Custodian of the Fund as to the deliveries of securities and
          payments of cash for the account of the Fund.  In connection with
          the selection of such brokers or dealers and the placing of such
          orders, the Sub-Adviser is directed to seek for the Fund best
          execution of orders.  Subject to such policies as the Board of
          Trustees of the Fund determines, the Sub-Adviser shall not be
          deemed to have acted unlawfully or to have breached any duty,
          created by this Agreement or otherwise, solely by reason of its
          having caused the Fund to pay a broker or dealer an amount of






<PAGE>   2



          commission for effecting a securities transaction in excess of
          the amount of commission another broker or dealer would have
          charged for effecting that transaction, if the Sub-Adviser
          determined in good faith that such amount of commission was
          reasonable in relation to the value of the brokerage and research
          services provided by such broker or dealer viewed in terms of
          either that particular transaction or the Sub-Adviser's overall
          responsibilities with respect to the clients of the Sub-Adviser
          as to which the Sub-Adviser exercises investment discretion.  The
          Adviser recognizes that all research services and research that
          the Sub-Adviser receives or generates are available for all
          clients of the Sub-Adviser, and that the Fund and other clients
          of the Sub-Adviser may benefit thereby.  The investment of funds
          shall be subject to all applicable restrictions of the Agreement
          and Declaration of Trust and By-Laws of the Fund as may from time
          to time be in force.

               The Sub-Adviser accepts such employment and agrees during
          such period to render such investment management services, to
          furnish related office facilities and equipment and clerical,
          bookkeeping and administrative services for the Fund, to permit
          any of its officers or employees to serve without compensation as
          trustees or officers of the Fund if elected to such positions and
          to assume the obligations herein set forth for the compensation
          herein provided.  The Sub-Adviser shall for all purposes herein
          provided be deemed to be an independent contractor and, unless
          otherwise expressly provided or authorized, shall have no
          authority to act for or represent the Fund or the Adviser in any
          way or otherwise be deemed an agent of the Fund or the Adviser. 
          It is understood and agreed that the Sub-Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          2.   In the event that the Fund establishes one or more
          additional series with respect to which the Adviser desires to
          retain the Sub-Adviser to render investment advisory and
          management services hereunder, the Adviser shall notify the
          Sub-Adviser in writing.  If the Sub-Adviser is willing to render
          such services, it shall notify the Adviser in writing whereupon
          such series shall become subject to this agreement.

          3.   For the services and facilities described in Section 1, the
          Adviser will pay to the Sub-Adviser at the end of each calendar
          month, a sub-advisory fee computed at an annual rate of .25 of 1%
          of the portion of the average daily net assets of each series
          allocated by the Adviser to the Sub-Adviser for management. 

               The fee as computed above shall be computed separately for,
          and charged as an expense of, each series of the Fund based upon
          the average daily net assets of 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

                                         -2-



<PAGE>   3




          number of days that the Agreement is in effect during the month
          and year, respectively.

          4.   The services of the Sub-Adviser under this Agreement are not
          to be deemed exclusive, and the Sub-Adviser shall be free to
          render similar services or other services to others so long as
          its services hereunder are not impaired thereby.

          5.   The Sub-Adviser shall arrange, if desired by the Fund, for
          officers or employees of the Sub-Adviser to serve, without
          compensation from the Fund, as trustees, officers or agents of
          the Fund if duly elected or appointed to such positions and
          subject to their individual consent and to any limitations
          imposed by law.

          6.    The net asset value for each series of the Fund shall be
          calculated in accordance with the provisions of the Fund's
          prospectus or as the trustees may determine in accordance with
          the provisions of the Investment Company Act of 1940.  On each
          day when net asset value is not calculated, the net asset value
          of a series shall be deemed to be the net asset value of such
          series as of the close of business on the last day on which such
          calculation was made for the purpose of the foregoing
          computations.

          7.   Subject to applicable statutes and regulations, it is
          understood that certain trustees, officers or agents of the Fund
          are or may be interested in the Sub-Adviser as officers,
          directors, agents, shareholders or otherwise, and that the
          officers, directors, shareholders and agents of the Sub-Adviser
          may be interested in the Fund otherwise than as a trustee,
          officer or agent.

          8.   The Sub-Adviser shall not be liable for any error of
          judgment or of law or for any loss suffered by the Fund or the
          Adviser in connection with the matters to which this Agreement
          relates, except loss resulting from willful misfeasance, bad
          faith or gross negligence on the part of the Sub-Adviser in the
          performance of its obligations and duties or by reason of its
          reckless disregard of its obligations and duties under this
          Agreement.

          9.   This Agreement shall become effective with respect to the
          initial series of the Fund on the date hereof and shall remain in
          full force until April 1, 1997, unless sooner terminated as
          hereinafter provided.  This Agreement shall continue in force
          from year to year thereafter with respect to each series, but
          only as long as such continuance is specifically approved for
          each series at least annually in the manner required by the
          Investment Company Act of 1940 and the rules and regulations
          thereunder; provided, however, that if the continuation of this
          Agreement is not approved for a series, the Sub-Adviser may

                                         -3-


        
<PAGE>   4


          continue to serve in such capacity for such Portfolio in the
          manner and to the extent permitted by the Investment Company Act
          of 1940 and the rules and regulations thereunder.

               This Agreement shall automatically terminate in the event of
          its assignment or in the event of the termination of the
          Management Agreement and may be terminated at any time with
          respect to any series without the payment of any penalty by the
          Adviser or by the Sub-Adviser on sixty (60) days written notice
          to the other party.  The Fund may effect termination with respect
          to any series without payment of any penalty by action of the
          Board of Trustees or by vote of a majority of the outstanding
          voting securities of such series on sixty (60) days written
          notice to the Adviser and the Sub-Adviser.

               This Agreement may be terminated with respect to any series
          at any time without the payment of any penalty by the Board of
          Trustees of the Fund, by vote of a majority of the outstanding
          voting securities of such series or by the Adviser in the event
          that it shall have been established by a court of competent
          jurisdiction that the Sub-Adviser or any officer or director of
          the Sub-Adviser has taken any action which results in a breach of
          the covenants of the Sub-Adviser set forth herein.

               The terms "assignment" 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.

               Termination of this Agreement shall not affect the right of
          the Sub-Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          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 mailed, postage prepaid, to the other
          party at such address as such other party may designate for the
          receipt of such notice.

          12.  This Agreement shall be construed in accordance with
          applicable federal law and the laws of the State of Illinois.




                                         -4-




<PAGE>   5



          13.  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.

               IN WITNESS WHEREOF, the Adviser and the Sub-Adviser have
          caused this Agreement to be executed as of the day and year first
          above written.

                                         KEMPER FINANCIAL SERVICES, INC.


                                         By:  /s/ John E. Neal 
                                            -----------------------------

                                         Title:  President
                                               --------------------------

          ATTEST:

          /s/ Philip J. Collora
          ----------------------------

          Title:  Assistant Secretary
                ----------------------


                                         DREMAN VALUE ADVISORS, INC.


                                         By:  /s/ Patrick H. Dudasik 
                                            -----------------------------

                                         Title:  Executive Vice President 
                                               --------------------------

          ATTEST:

          /s/ Philip J. Collora
          ----------------------------

          Title:  Assistant Secretary
                ----------------------










                                         -5-






<PAGE>   1

                                                               EXHIBIT 99.B6(a).

                   UNDERWRITING AND DIST. SVCS. AGREEMENT

              UNDERWRITING AND DISTRIBUTION SERVICES AGREEMENT


               AGREEMENT made this 4th day of January, 1996, 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



<PAGE>   2


          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 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.

           3.  The Fund will use its best efforts to keep effectively
          registered under the Securities Act for sale as herein

                                          2





<PAGE>   3


          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
          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

                                          3



<PAGE>   4


          time in any way require, limit, restrict, prohibit or otherwise
          regulate any action of 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
          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

                                          4






<PAGE>   5


          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.

           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, 1997; 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.


                                          5



<PAGE>   6



               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.

               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 (except as to Section 14 hereof which
          shall be construed in accordance with the laws of The
          Commonwealth of Massachusetts) the laws of the State of Illinois.



                                          6



<PAGE>   7


          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.

               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. Peters
                                          -------------------------------

                                       Title:  Vice President
                                             ----------------------------

          ATTEST:

          /s/ Philip J. Collora
          -----------------------------

          Title:  Secretary
                -----------------------


                                       KEMPER DISTRIBUTORS, INC.


                                       By:  /s/ Patrick H. Dudasik 
                                          -------------------------------
                                               Chief Financial Officer
                                       Title:    and Treasurer
                                             ----------------------------


          ATTEST:

          /s/ David F. Dierenfeldt
          -----------------------------

          Title:  Secretary
                -----------------------







                                          7














<PAGE>   1
                                                                EXHIBIT 99.B11


                        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 August 29, 1996 in the Registration Statement of Kemper
Horizon Fund on Form N-1A and its incorporation by reference in the related
Prospectus filed with the Securities and Exchange Commission in this
Post-Effective Amendment No. 1 to the Registration Statement under the
Securities Act of 1933 (File No. 33-63467) and in this Amendment No. 3 to the
Registration Statement under the Investment Company Act of 1940 (File No.
811-7365).


                                        Ernst & Young LLP
                                        ERNST & YOUNG LLP


Chicago, Illinois
August 29, 1996
<PAGE>   2
REPORT OF INDEPENDENT AUDITORS
 
THE BOARD OF TRUSTEES AND SHAREHOLDERS
 
KEMPER HORIZON FUND
 
  We have audited the accompanying statement of assets and liabilities,
including the portfolio of investments, of Kemper Horizon 20+ Portfolio, Kemper
Horizon 10+ Portfolio and Kemper Horizon 5 Portfolio, comprising Kemper Horizon
Fund (the Fund), as of July 31, 1996, the related statements of operations and
changes in net assets and the financial highlights for the period from December
29, 1995 (commencement of operations) to July 31, 1996. These financial
statements and financial highlights are the responsibility of the Fund's
management. Our responsibility is to express an opinion on these financial
statements and financial highlights based on our audits.
 
  We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of investments owned as of July
31, 1996, by correspondence with the custodian and brokers. An audit also
includes assessing the accounting principles used and significant estimates made
by management, as well as evaluating the overall financial statement
presentation. We believe that our audits provide a reasonable basis for our
opinion.
 
  In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of each
of the portfolios comprising of Kemper Horizon Fund at July 31, 1996, the
results of their operations, the changes in their net assets and the financial
highlights for the period referred to above in conformity with generally
accepted accounting principles.
 
                                                               ERNST & YOUNG LLP
 
                                          Chicago, Illinois
                                          August 29, 1996
 

<PAGE>   1

                                                                 EXHIBIT 99.B18.

                       MULTI-DISTRIBUTION SYSTEM PLAN

                             KEMPER MUTUAL FUNDS
                       MULTI-DISTRIBUTION SYSTEM PLAN

               WHEREAS, each investment company adopting this Multi-
          Distribution System Plan (each a "Fund" and collectively the
          "Funds") is an open-end management investment company registered
          under the Investment Company Act of 1940 (the "1940 Act");

               WHEREAS, Zurich Kemper Investments, Inc. and/or Dreman Value
          Advisors, Inc. serves as investment adviser and Kemper
          Distributors, Inc. serves as principal underwriter for each Fund; 

               WHEREAS, each Fund has a non-Rule 12b-1 administrative
          services agreement providing for a service fee at an annual rate
          of up to .25% of average daily net assets;

               WHEREAS, each Fund has established a Multi-Distribution
          System enabling each Fund, as more fully reflected in its
          prospectus, to offer investors the option of purchasing shares
          (a) with a front-end sales load (which may vary among Funds) and
          a service fee ("Class A shares"); (b) without a front-end sales
          load, but subject to a Contingent Deferred Sales Charge ("CDSC")
          (which may vary among Funds), a Rule 12b-1 plan providing for a
          distribution fee, and a service fee ("Class B shares");
          (c) without a front-end sales load, but subject to a CDSC
          (applicable to shares purchased on or after April 1, 1996 and
          which may vary among Funds), a Rule 12b-1 Plan providing for a
          distribution fee, and a service fee ("Class C shares"); and
          (d) for certain Funds, without a front-end load, a CDSC, a
          distribution fee or a service fee ("Class I shares"); and  

               WHEREAS, Rule 18f-3 under the 1940 Act permits open-end
          management investment companies to issue multiple classes of
          voting stock representing interests in the same portfolio
          notwithstanding Sections 18(f)(1) and 18(i) under the 1940 Act
          if, among other things, such investment companies adopt a written
          plan setting forth the separate arrangement and expense
          allocation of each class and any related conversion features or
          exchange privileges;

               NOW, THEREFORE, each Fund, wishing to be governed by Rule
          18f-3 under the 1940 Act, hereby adopts this Multi-Distribution
          System Plan as follows:

               1.   Each class of shares will represent interests in the
          same portfolio of investments of the Fund (or series), and be
          identical in all respects to each other class, except as set
          forth below.  The only differences among the various classes of
          shares of the Fund (or series) will relate solely to: 
          (a) different distribution fee payments associated with any Rule




<PAGE>   2


          12b-1 Plan for a particular class of shares and any other costs
          relating to implementing or amending such Rule 12b-1 Plan
          (including obtaining shareholder approval of such Rule 12b-1 Plan
          or any amendment thereto), which will be borne solely by
          shareholders of such classes; (b) different service fees;
          (c) different shareholder servicing fees; (d) different class
          expenses, which will be limited to the following expenses
          determined by the Fund board to be attributable to a specific
          class of shares:  (i) printing and postage expenses related to
          preparing and distributing materials such as shareholder reports,
          prospectuses, and proxy statements to current shareholders of a
          specific class; (ii) Securities and Exchange Commission
          registration fees incurred by a specific class; (iii) litigation
          or other legal expenses relating to a specific class; (iv) board
          member fees or expenses incurred as a result of issues relating
          to a specific class; and (v) accounting expenses relating to a
          specific class; (e) the voting rights related to any Rule 12b-1
          Plan affecting a specific class of shares; (f) conversion
          features; (g) exchange privileges; and (h) class names or
          designations.  Any additional incremental expenses not
          specifically identified above that are subsequently identified
          and determined to be properly applied to one class of shares of
          the Fund (or a series) shall be so applied upon approval by a
          majority of the members of the Fund's board, including a majority
          of the board members who are not interested persons of the Fund.

               2.   Under the Multi-Distribution System, certain expenses
          may be attributable to the Fund, but not to a particular series
          or class thereof.  All such expenses will be borne by each class
          on the basis of the relative aggregate net assets of the classes,
          except that, if the Fund has series, expenses will first be
          allocated among series, based upon their relative aggregate net
          assets.  Expenses that are attributable to a particular series,
          but not to a particular class thereof, will be borne by each
          class of that series on the basis of the relative aggregate net
          assets of the classes.  Notwithstanding the foregoing, the
          underwriter, the investment manager or other provider of services
          to the Fund may waive or reimburse the expenses of a specific
          class or classes to the extent permitted under Rule 18f-3 under
          the 1940 Act.

               A class of shares may be permitted to bear expenses that are
          directly attributable to that class including: (a) any
          distribution fees associated with any Rule 12b-1 Plan for a
          particular class and any other costs relating to implementing or
          amending such Rule 12b-1 Plan (including obtaining shareholder
          approval of such Rule 12b-1 Plan or any amendment thereto); (b)
          any service fees attributable to such class; (c) any shareholder
          servicing fees attributable to such class; and (d) any class
          expenses determined by the Fund board to be attributable to such
          class. 

                                          2







<PAGE>   3




               3.   After a shareholder's Class B shares have been
          outstanding for six years, they will automatically convert to
          Class A shares of the Fund (or series) at the relative net asset
          values of the two classes and will thereafter not be subject to a
          Rule 12b-1 Plan; provided, however, that any Class B Shares
          issued in exchange for shares originally classified as Initial
          Shares of Kemper Portfolios, formerly known as Kemper Investment
          Portfolios (KP), whether in connection with a reorganization with
          a series of KP or otherwise, shall convert to Class A shares
          seven years after issuance of such Initial Shares if such Initial
          Shares were issued prior to February 1, 1991.  Class B shares
          issued upon reinvestment of income and capital gain dividends and
          other distributions will be converted to Class A shares on a pro
          rata basis with the Class B shares.

               4.   Any conversion of shares of one class to shares of
          another class is subject to the continuing availability of a
          ruling of the Internal Revenue Service or an opinion of counsel
          to the effect that the conversion of shares does not constitute a
          taxable event under federal income tax law.  Any such conversion
          may be suspended if such a ruling or opinion is no longer
          available.

               5.   To the extent exchanges are permitted, shares of any
          class of the Fund will be exchangeable with shares of the same
          class of another Fund, or with money market fund shares as
          described in the applicable prospectus.  Exchanges will comply
          with all applicable provisions of Rule 11a-3 under the 1940 Act. 
          For purposes of calculating the time period remaining on the
          conversion of Class B shares to Class A shares, Class B shares
          received on exchange retain their original purchase date.

               6.   Dividends paid by the Fund (or series) as to each class
          of its shares, to the extent any dividends are paid, will be
          calculated in the same manner, at the same time, on the same day,
          and will be in the same amount; except that any distribution
          fees, service fees, shareholder servicing fees and class expenses
          allocated to a class will be borne exclusively by that class.

               7.   Any distribution arrangement of the Fund, including
          distribution fees, front-end sales loads and CDSCs, will comply
          with Article III, Section 26, of the Rules of Fair Practice of
          the National Association of Securities Dealers, Inc. 

               8.   All material amendments to this Plan must be approved
          by a majority of the members of the Fund's board, including a
          majority of the board members who are not interested persons of
          the Fund.

               Any open-end investment company may establish a Multi-
          Distribution System and adopt this Multi-Distribution System Plan
          by approval of a majority of the members of any such company's

                                          3





<PAGE>   4


          governing board, including a majority of the board members who
          are not interested persons of such company.


          For use on or after:  April 1, 1996









                                          4






































































<PAGE>   1
                                                                 EXHIBIT 99.B24.

                              POWER OF ATTORNEY

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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----

               /s/ Stephen B. Timbers         Trustee     July 24, 1996 
             -------------------------





<PAGE>   2


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





                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ James E. Akins             Trustee     July 24, 1996
             --------------------------






<PAGE>   3




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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ Arthur R. Gottschalk       Trustee     July 24, 1996
             --------------------------






<PAGE>   4




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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ Frederick T. Kelsey        Trustee     July 24, 1996
             --------------------------




<PAGE>   5



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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ Dominique P. Morax         Trustee     July 24, 1996
             --------------------------







<PAGE>   6



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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ Fred B. Renwick            Trustee     July 24, 1996
             --------------------------






<PAGE>   7



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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----


               /s/ John B. Tingleff           Trustee     July 24, 1996
             --------------------------









<PAGE>   8



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



                  The person whose signature appears below hereby appoints
             Charles F. Custer, Stephen B. Timbers 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.



                       Signature              Title       Date
                       ---------              -----       ----

               /s/ John G. Weithers           Trustee     July 24, 1996
             --------------------------







<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 1996 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> 011
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS A 
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                    7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                              831
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            854
<NUMBER-OF-SHARES-REDEEMED>                       (26)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.72
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUAILIFED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B 
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                              873
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            888
<NUMBER-OF-SHARES-REDEEMED>                       (18)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .11
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.65
<EXPENSE-RATIO>                                   2.26
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C 
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                               82
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             86
<NUMBER-OF-SHARES-REDEEMED>                        (7)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .04
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.67
<EXPENSE-RATIO>                                   2.23
<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 1996 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> 014
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,497
<INVESTMENTS-AT-VALUE>                          18,936
<RECEIVABLES>                                      205
<ASSETS-OTHER>                                      67
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,208
<PAYABLE-FOR-SECURITIES>                           918
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           39
<TOTAL-LIABILITIES>                                957
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        18,784
<SHARES-COMMON-STOCK>                               98
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          134
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (106)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (561)
<NET-ASSETS>                                    18,251
<DIVIDEND-INCOME>                                   63
<INTEREST-INCOME>                                   88
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (92)
<NET-INVESTMENT-INCOME>                             59
<REALIZED-GAINS-CURRENT>                         (102)
<APPREC-INCREASE-CURRENT>                        (561)
<NET-CHANGE-FROM-OPS>                            (604)
<EQUALIZATION>                                      71
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            103
<NUMBER-OF-SHARES-REDEEMED>                        (5)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,151
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     95
<AVERAGE-NET-ASSETS>                             8,652
<PER-SHARE-NAV-BEGIN>                            10.03
<PER-SHARE-NII>                                    .07
<PER-SHARE-GAIN-APPREC>                          (.37)
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.73
<EXPENSE-RATIO>                                    .73
<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 1996 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> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                              973
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                         (48)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            986
<NUMBER-OF-SHARES-REDEEMED>                       (21)
<SHARES-REINVESTED>                                  5
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .20
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.06)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<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 1996 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> 022
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                              898
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                         (19)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            920
<NUMBER-OF-SHARES-REDEEMED>                       (27)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.03)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<EXPENSE-RATIO>                                   2.26
<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 1996 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> 023
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                               89
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                          (3)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             89
<NUMBER-OF-SHARES-REDEEMED>                        (4)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                          (.04)
<PER-SHARE-DIVIDEND>                             (.03)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.60
<EXPENSE-RATIO>                                   2.23
<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 1996 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> 024
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           19,347
<INVESTMENTS-AT-VALUE>                          18,958
<RECEIVABLES>                                      550
<ASSETS-OTHER>                                     164
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  19,672
<PAYABLE-FOR-SECURITIES>                           733
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           27
<TOTAL-LIABILITIES>                                760
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,258
<SHARES-COMMON-STOCK>                               11
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                          135
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (92)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (389)
<NET-ASSETS>                                    18,912
<DIVIDEND-INCOME>                                   47
<INTEREST-INCOME>                                  152
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (95)
<NET-INVESTMENT-INCOME>                            104
<REALIZED-GAINS-CURRENT>                          (88)
<APPREC-INCREASE-CURRENT>                        (389)
<NET-CHANGE-FROM-OPS>                            (373)
<EQUALIZATION>                                      97
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             12
<NUMBER-OF-SHARES-REDEEMED>                        (1)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          18,812
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               29
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     97
<AVERAGE-NET-ASSETS>                             8,744
<PER-SHARE-NAV-BEGIN>                             9.83
<PER-SHARE-NII>                                    .09
<PER-SHARE-GAIN-APPREC>                          (.26)
<PER-SHARE-DIVIDEND>                             (.09)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<EXPENSE-RATIO>                                    .73
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 031
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                              461
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                         (28)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            509
<NUMBER-OF-SHARES-REDEEMED>                       (54)
<SHARES-REINVESTED>                                  3
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .25
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.11)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<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 1996 ANNUAL REPORT TO SHAREHOLDERS AND
IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 032
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                              596
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                         (23)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            611
<NUMBER-OF-SHARES-REDEEMED>                       (20)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .21
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.57
<EXPENSE-RATIO>                                   2.26
<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 1996 ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERNECE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 033
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   7-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             DEC-29-1995
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  10,905
<PAYABLE-FOR-SECURITIES>                            36
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           38
<TOTAL-LIABILITIES>                                 74
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        10,955
<SHARES-COMMON-STOCK>                               64
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                           76
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (44)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         (156)
<NET-ASSETS>                                    10,831
<DIVIDEND-INCOME>                                   18
<INTEREST-INCOME>                                  120
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (56)
<NET-INVESTMENT-INCOME>                             82
<REALIZED-GAINS-CURRENT>                          (42)
<APPREC-INCREASE-CURRENT>                        (156)
<NET-CHANGE-FROM-OPS>                            (116)
<EQUALIZATION>                                      46
<DISTRIBUTIONS-OF-INCOME>                          (3)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             64
<NUMBER-OF-SHARES-REDEEMED>                        (4) 
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          10,731
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               17
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     57
<AVERAGE-NET-ASSETS>                             5,062
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                    .21
<PER-SHARE-GAIN-APPREC>                          (.07)
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                         9.57
<RETURNS-OF-CAPITAL>                              2.23
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 1996 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> 034
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   4-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-START>                             APR-08-1996
<PERIOD-END>                               JUL-31-1996
<INVESTMENTS-AT-COST>                           10,665
<INVESTMENTS-AT-VALUE>                          10,509
<RECEIVABLES>                                      396
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
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</TABLE>

<PAGE>   1
                                                        EXHIBIT 99.485(B)

[VEDDER PRICE LETTERHEAD]

                                                        August 28, 1996



Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C. 20549

        Re:  Kemper Horizon Fund

To The Commission:

        We are counsel to the above-referenced investment company (the "Fund")
and as such have participated in the preparation and review of Post-Effective
Amendment No. 1 to the Fund's registration statement being filed pursuant to
Rule 485(b) under the Securities Act of 1933.  In accordance with paragraph
(b)(4) of Rule 485 and in reliance upon the oral approval of the staff of the
Commission, acting on behalf of the Commission, under Rule 485(b)(1)(ix) for
certain of the disclosures to be contained in the amendment, we hereby
represent that such amendment does not contain disclosures which would render
it ineligible to become effective pursuant to paragraph (b) thereof.

                                        Very truly yours,

                                        /s/ Vedder, Price, Kaufman & Kammholz

                                            VEDDER, PRICE, KAUFMAN & KAMMHOLZ 
                    







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