KEMPER HORIZON FUND
497, 1998-08-07
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<PAGE>
 
<TABLE>
<CAPTION>
             TABLE OF CONTENTS
- --------------------------------------------
<S>                                           <C>
Summary                                         1
- -------------------------------------------------
Summary of Expenses                             3
- -------------------------------------------------
Financial Highlights                            5
- -------------------------------------------------
Investment Objectives, Policies and Risk        8
  Factors
- -------------------------------------------------
Investment Manager and Underwriter             19
- -------------------------------------------------
Dividends and Taxes                            23
- -------------------------------------------------
Net Asset Value                                24
- -------------------------------------------------
Purchase of Shares                             25
- -------------------------------------------------
Redemption or Repurchase of Shares             30
- -------------------------------------------------
Special Features                               35
- -------------------------------------------------
Performance                                    38
- -------------------------------------------------
Capital Structure                              39
- -------------------------------------------------
</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 November 21, 1997, 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 LOGO
 
KEMPER
HORIZON
FUND
 
PROSPECTUS NOVEMBER 21, 1997
 
KEMPER HORIZON FUND
 
222 South Riverside Plaza, Chicago, Illinois 60606 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>
 
KEMPER HORIZON FUND
 
222 SOUTH RIVERSIDE PLAZA, CHICAGO, ILLINOIS 60606, 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>
 
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 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%. Zurich Investment Management Limited
("ZIML"), an affiliate of ZKI, is a sub-adviser of the Fund and is paid by ZKI a
fee, payable monthly at the annual rate of .35% of the portion of the average
daily net assets of the Fund allocated by ZKI to ZIML for management. Zurich
Kemper Value Advisors, Inc. ("ZKVA"), a wholly-owned subsidiary of ZKI, is also
a sub-adviser for the Fund. ZKI pays ZKVA a fee at the annual rate of .25% of
the portion of the average daily net assets of each Portfolio allocated by ZKI
to ZKVA for management. Zurich Kemper Distributors, Inc. ("ZKDI"), a wholly
owned subsidiary of ZKI, is principal underwriter and administrator for the
Fund. For Class B shares and Class C shares, ZKDI receives a Rule 12b-1
distribution fee at the annual rate of .75% of average daily net assets. ZKDI
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 ZKDI for which ZKDI 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 ZKDI, in turn,
pays to various broker-dealer firms and other service or administrative firms.
See "Investment Manager and Underwriter."
 
DIVIDENDS. Each Portfolio normally distributes dividends of net investment
income as follows: annually for the Horizon 20+ Portfolio; semi-annually for
Horizon 10+ Portfolio; and quarterly for the Horizon 5 Portfolio. Each Portfolio
distributes any net realized short-term and long-term capital gains at least
annually. Income and capital gain dividends of a Portfolio are automatically
reinvested in additional shares of that Portfolio, without a sales charge,
unless the shareholder makes a different election. See "Dividends and Taxes."
 
                                        2



<PAGE>
 
SUMMARY OF EXPENSES
 
<TABLE>
<CAPTION>
           SHAREHOLDER TRANSACTION EXPENSES             CLASS A           CLASS B             CLASS C
          (applicable to all Portfolios)(1)             -------           -------             -------
<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. The table does not include the $9.00 quarterly small
    account fee. See "Redemption or Repurchase of Shares."
 
(2) Reduced sales charges apply to purchases of $50,000 or more. See "Purchase
    of Shares--Initial Sales Charge Alternative--Class A Shares."
 
(3) The redemption of Class A shares purchased at net asset value under the
    Large Order NAV Purchase Privilege may be subject to a contingent deferred
    sales charge of 1% the first year and .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..............................................       1.11%           .93%          .93%
                                                                   -----          -----         -----
Total Operating Expenses....................................       1.69%          1.51%         1.51%
                                                                   =====          =====         =====
</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..............................................       1.14%          1.03%          .82%
                                                                   -----          -----         -----
Total Operating Expenses....................................       2.47%          2.36%         2.15%
                                                                   =====          =====         =====
</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..............................................       1.15%          1.28%          .83%
                                                                   -----          -----         -----
Total Operating Expenses....................................       2.48%          2.61%         2.16%
                                                                   =====          =====         =====
</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 ZKDI 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>
 
EXAMPLE
 
<TABLE>
<CAPTION>
                                                                      1 YEAR   3 YEARS   5 YEARS   10 YEARS
                    CLASS A SHARES                      PORTFOLIO     ------   -------   -------   --------
<S>                                                     <C>           <C>      <C>       <C>       <C>
You would pay the following expenses on a $1,000        Horizon 20+    $74      $108      $144       $246
investment, assuming (1) 5% annual return and (2)       Horizon 10+    $72      $102      $135       $227
redemption at the end of each time period:              Horizon 5      $72      $102      $135       $227
CLASS B SHARES(6)
You would pay the following expenses on a $1,000        Horizon 20+    $55      $ 97      $142       $244
investment, assuming (1) 5% annual return and (2)       Horizon 10+    $54      $ 94      $136       $229
redemption at the end of each time period:              Horizon 5      $52      $ 87      $125       $217
You would pay the following expenses on the same        Horizon 20+    $25      $ 77      $132       $244
investment, assuming no redemption:                     Horizon 10+    $24      $ 74      $126       $229
                                                        Horizon 5      $22      $ 67      $115       $217
CLASS C SHARES(7)
You would pay the following expenses on a $1,000        Horizon 20+    $25      $ 77      $132       $282
investment, assuming (1) 5% annual return and (2)       Horizon 10+    $26      $ 81      $139       $294
redemption at the end of each time period:              Horizon 5      $22      $ 68      $116       $249
</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 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>
 
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 1997 Annual Report to Shareholders are
incorporated herein by reference and may be obtained by writing or calling the
Fund.
 
                          KEMPER HORIZON 20+ PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
CLASS A SHARES                                  -------------   -----------------
<S>                                             <C>             <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.72             9.50
- ---------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                               .12              .18
- ---------------------------------------------------------------------------------
  Net realized and unrealized gain                   3.15              .04
- ---------------------------------------------------------------------------------
Total from investment operations                     3.27              .22
- ---------------------------------------------------------------------------------
Less distribution from net investment income          .10               --
- ---------------------------------------------------------------------------------
Net asset value, end of period                     $12.89             9.72
- ---------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED):                      33.90%            2.32
- ---------------------------------------------------------------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             1.69%            1.48
- ---------------------------------------------------------------------------------
Net investment income                                1.08%            1.51
- ---------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                           CLASS B                         CLASS C
                                                                DECEMBER 29,                     DECEMBER 29,
                                                 YEAR ENDED        1995 TO        YEAR ENDED        1995 TO
                                                JULY 31, 1997   JULY 31, 1996   JULY 31, 1997    JULY 31, 1996
CLASS B & C SHARES                              -------------   -------------   --------------   -------------
<S>                                             <C>             <C>             <C>              <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.65           9.50             9.67            9.50
- -----------------------------------------------------------------------------   -----------------------------
Income from investment operations:
  Net investment income                               .03            .11             .04              .13
- -----------------------------------------------------------------------------   -----------------------------
  Net realized and unrealized gain                   3.15            .04             3.13             .04
- -----------------------------------------------------------------------------   -----------------------------
Total from investment operations                     3.18            .15             3.17             .17
- -----------------------------------------------------------------------------   -----------------------------
Less distribution from net investment income          .04             --             .04               --
- -----------------------------------------------------------------------------   -----------------------------
Net asset value, end of period                     $12.79           9.65            12.80            9.67
- -----------------------------------------------------------------------------   -----------------------------
TOTAL RETURN (NOT ANNUALIZED):                      33.01%          1.58            32.80            1.79
- -----------------------------------------------------------------------------   -----------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             2.47%          2.26             2.48            2.23
- -----------------------------------------------------------------------------   -----------------------------
Net investment income                                 .30%           .73             .29              .76
- -----------------------------------------------------------------------------   -----------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
CLASS A SHARES                                  -------------   -----------------
<S>                                             <C>             <C>
SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)         $62,673           18,251
- ---------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                   130%             122
- ---------------------------------------------------------------------------------
Average commission rate paid per share on
  stock transactions                               $ .0491            .0417
- ---------------------------------------------------------------------------------
</TABLE>
 
                                        5



<PAGE>
 
                          KEMPER HORIZON 10+ PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
CLASS A SHARES                                  -------------   -----------------
<S>                                             <C>             <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.60             9.50
- ---------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                               .25              .20
- ---------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)            2.36             (.04)
- ---------------------------------------------------------------------------------
Total from investment operations                     2.61              .16
- ---------------------------------------------------------------------------------
Less distribution from net investment income          .20              .06
- ---------------------------------------------------------------------------------
Net asset value, end of period                     $12.01             9.60
- ---------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED):                      27.43%            1.70
- ---------------------------------------------------------------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             1.51%            1.48
- ---------------------------------------------------------------------------------
Net investment income                                2.36%            2.40
- ---------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                           CLASS B                         CLASS C
                                                                DECEMBER 29,                     DECEMBER 29,
                                                 YEAR ENDED        1995 TO        YEAR ENDED        1995 TO
                                                JULY 31, 1997   JULY 31, 1996   JULY 31, 1997    JULY 31, 1996
CLASS B & C SHARES                              -------------   -------------   --------------   -------------
<S>                                             <C>             <C>             <C>              <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.60           9.50             9.60            9.50
- -----------------------------------------------------------------------------   -----------------------------
Income from investment operations:
  Net investment income                               .16            .17             .14              .17
- -----------------------------------------------------------------------------   -----------------------------
  Net realized and unrealized gain (loss)            2.35           (.04)            2.34            (.04)
- -----------------------------------------------------------------------------   -----------------------------
Total from investment operations                     2.51            .13             2.48             .13
- -----------------------------------------------------------------------------   -----------------------------
Less distribution from net investment income          .11            .03             .10              .03
- -----------------------------------------------------------------------------   -----------------------------
Net asset value, end of period                     $12.00           9.60            11.98            9.60
- -----------------------------------------------------------------------------   -----------------------------
TOTAL RETURN (NOT ANNUALIZED):                      26.25%          1.38            25.97            1.39
- -----------------------------------------------------------------------------   -----------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             2.36%          2.26             2.61            2.23
- -----------------------------------------------------------------------------   -----------------------------
Net investment income                                1.51%          1.62             1.26            1.65
- -----------------------------------------------------------------------------   -----------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
ALL CLASSES                                     -------------   -----------------
<S>                                             <C>             <C>
SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)         $63,400           18,912
- ---------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                   126%              87
- ---------------------------------------------------------------------------------
Average commission rate paid per share on
  stock transactions                               $ .0494            .0413
- ---------------------------------------------------------------------------------
</TABLE>
 
                                        6



<PAGE>
 
                           KEMPER HORIZON 5 PORTFOLIO
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
CLASS A SHARES                                  -------------   -----------------
<S>                                             <C>             <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.57             9.50
- ---------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                               .34              .25
- ---------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)            1.45             (.07)
- ---------------------------------------------------------------------------------
Total from investment operations                     1.79              .18
- ---------------------------------------------------------------------------------
Less distribution from net investment income          .30              .11
- ---------------------------------------------------------------------------------
Net asset value, end of period                     $11.06             9.57
- ---------------------------------------------------------------------------------
TOTAL RETURN (NOT ANNUALIZED):                      19.02%            1.84
- ---------------------------------------------------------------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             1.51%            1.48
- ---------------------------------------------------------------------------------
Net investment income                                3.30%            3.20
- ---------------------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                           CLASS B                         CLASS C
                                                                DECEMBER 29,                     DECEMBER 29,
                                                 YEAR ENDED        1995 TO        YEAR ENDED        1995 TO
                                                JULY 31, 1997   JULY 31, 1996   JULY 31, 1997    JULY 31, 1996
CLASS B & C SHARES                              -------------   -------------   --------------   -------------
<S>                                             <C>             <C>             <C>              <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period               $ 9.57           9.50             9.57            9.50
- -----------------------------------------------------------------------------   -----------------------------
Income from investment operations:
  Net investment income                               .27            .21             .28              .21
- -----------------------------------------------------------------------------   -----------------------------
  Net realized and unrealized gain (loss)            1.44           (.07)            1.43            (.07)
- -----------------------------------------------------------------------------   -----------------------------
Total from investment operations                     1.71            .14             1.71             .14
- -----------------------------------------------------------------------------   -----------------------------
Less distribution from net investment income          .22            .07             .21              .07
- -----------------------------------------------------------------------------   -----------------------------
Net asset value, end of period                     $11.06           9.57            11.07            9.57
- -----------------------------------------------------------------------------   -----------------------------
TOTAL RETURN (NOT ANNUALIZED):                      18.15%          1.44            18.13            1.45
- -----------------------------------------------------------------------------   -----------------------------
RATIOS TO AVERAGE NET ASSETS (ANNUALIZED):
Expenses                                             2.15%          2.26             2.16            2.23
- -----------------------------------------------------------------------------   -----------------------------
Net investment income                                2.66%          2.42             2.65            2.45
- -----------------------------------------------------------------------------   -----------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                DECEMBER 29, 1995
                                                 YEAR ENDED            TO
                                                JULY 31, 1997     JULY 31, 1996
ALL CLASSES                                     -------------   -----------------
<S>                                             <C>             <C>
SUPPLEMENTAL DATA:
Net assets at end of period (in thousands)         $30,700           10,831
- ---------------------------------------------------------------------------------
Portfolio turnover rate (annualized)                   150%              57
- ---------------------------------------------------------------------------------
Average commission rate paid per share on
  stock transactions                               $ .0476            .0460
- ---------------------------------------------------------------------------------
</TABLE>
 
NOTES TO ALL PORTFOLIOS: Total return does not reflect the effect of any sales
charges. Per share data for the period ended July 31, 1996 was determined based
on average shares outstanding. For the fiscal period ended July 31, 1996, the
investment manager agreed to temporarily reduce its management fee and absorb
certain operating expenses of the Portfolios. If these expense waivers had not
been in effect, the expense ratio of each share class would have increased by
 .06% of average net assets for Horizon 20+, .04% for Horizon 10+ and .05% for
Horizon 5. There would have been a corresponding decrease in the net investment
income ratio for the period. The waivers were discontinued on August 1, 1996.
 
                                        7



<PAGE>
 
INVESTMENT OBJECTIVES, POLICIES AND RISK FACTORS
 
The Kemper Horizon Fund (the "Fund") consists of three investment portfolios
("Portfolios"), designed for investors with different investment horizons.
Investors are encouraged to choose the appropriate Portfolio based upon their
evaluation of their individual circumstances, including the anticipated timing
of major investment goals, such as sending a child to college, retirement or
purchasing a home, as well as their individual risk tolerance and investment
objective. As investors' horizons change, or as their investment goals change,
they are encouraged to re-evaluate their Portfolio choices to determine whether
they should move all or a portion of their investment to a different Portfolio
with a more appropriate objective and asset mix. The investment horizon of each
Portfolio should not be the sole factor in considering a Portfolio. Investors
should also review the investment objectives and policies of each Portfolio.
 
- - 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.
 
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.
 
                                        8



<PAGE>
 
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 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
 
                                        9



<PAGE>
 
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. ZKVA manages the
value portion of the Fund. ZKVA seeks stocks it believes to be undervalued. The
principal factor considered is P/E ratios. In selecting among stocks with low
P/E ratios, ZKVA considers other factors such as financial strength, book to
market value, earnings and dividend growth rates, return on equity and earnings
estimates.
 
FIXED INCOME. The fixed income portion of each Portfolio may be invested in a
broad variety of fixed income securities including, without limitation: (a)
obligations issued or guaranteed by the U.S. Government or by its agencies or
instrumentalities; (b) bonds, debentures, convertible debt instruments,
assignments or participation in loans, notes, commercial paper, and other debt
securities of corporations, trusts and other entities; (c) certificates of
deposit, bankers' acceptances and time deposits and (d) cash and cash
equivalents, including repurchase agreements. The fixed income portion of each
Portfolio will be comprised of U.S. Dollar denominated instruments.
 
Each portfolio attempts to limit its exposure to credit risk by imposing limits
on the quality of specific securities in the Portfolio and by maintaining a
relatively high average weighted credit quality. Credit quality refers to a
fixed income security issuer's expected ability to make all required interest
and principal payments in a timely manner. Higher rated fixed income securities
generally represent less risk than lower 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.
 
                                       10



<PAGE>
 
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.
 
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
 
                                       11



<PAGE>
 
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 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
 
                                       12



<PAGE>
 
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 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.
 
                                       13



<PAGE>
 
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
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. 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.
 
                                       14



<PAGE>
 
No Portfolio will purchase illiquid securities, including repurchase agreements
maturing in more than seven days, if, as a result thereof, more than 15% of the
Portfolio's net assets, valued at the time of the transaction, would be invested
in such securities. If a Portfolio holds a material percentage of its assets in
illiquid securities, there may be a question concerning the ability of the
Portfolio to make payment within seven days of the date its shares are tendered
for redemption. SEC guidelines to Form N-1A provide that the usual limit on
aggregate holdings by an open-end investment company of illiquid assets is 15%
of its net assets. See "Investment Policies and Techniques--Over-the-Counter
Options" in the Statement of Additional Information for a description of the
extent to which over-the-counter traded options are in effect considered as
illiquid for purposes of the limit on illiquid securities for the Portfolios.
Each Portfolio may invest in securities eligible for resale pursuant to Rule
144A under the Securities Act of 1933. This rule permits otherwise restricted
securities to be sold to certain institutional buyers, such as the Portfolios.
Such securities may be illiquid and subject to the Portfolio's limitation on
illiquid securities. A "Rule 144A" security may be treated as liquid, however,
if so determined pursuant to procedures adopted by the Board of Trustees.
Investing in Rule 144A securities could have the effect of increasing the level
of illiquidity in the portfolios to the extent that qualified institutional
buyers become uninterested for a time in purchasing Rule 144A securities.
 
Each Portfolio has adopted certain fundamental investment restrictions, which
are presented in the Statement of Additional Information and that, together with
the investment objective cannot be changed without approval by holders of a
majority of its outstanding voting shares. As defined in the Investment Company
Act of 1940, this means the lesser of the vote of (a) 67% of the shares of a
Portfolio present at a meeting where more than 50% of the outstanding shares are
present in person or by proxy; or (b) more than 50% of the outstanding shares of
a Portfolio. Each Portfolio's investment policies that are not incorporated into
any of the fundamental investment restrictions referred 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
 
                                       15



<PAGE>
 
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 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
 
                                       16



<PAGE>
 
price set at the time of the contract. These contracts are traded directly
between currency traders (usually large commercial banks) and their customers.
 
When a Portfolio enters into a contract for the purchase or sale of a security
denominated in a foreign currency, it may want to establish the U.S. Dollar cost
or proceeds, as the case may be. By entering into a forward contract in U.S.
Dollars for the purchase or sale of the amount of foreign currency involved in
an underlying security transaction, the Portfolio is able to protect itself
against a possible loss between trade and settlement dates resulting from an
adverse change in the relationship between the U.S. Dollar and such foreign
currency. However, this tends to limit potential gains that might result from a
positive change in such currency relationships. A Portfolio may also hedge its
foreign currency exchange rate risk by engaging in currency financial futures
and options transactions.
 
When the investment manager believes that the currency of a particular foreign
country may suffer a substantial decline against the U.S. Dollar, it may enter
into a forward contract to sell an amount of foreign currency approximating the
value of some or all of the Portfolio's securities denominated in such foreign
currency. The forecasting of short-term currency market movement is extremely
difficult and whether such a short-term hedging strategy will be successful is
highly uncertain.
 
It is impossible to forecast with absolute precision the market value of
portfolio securities at the expiration of a contract. Accordingly, it may be
necessary for a Portfolio to purchase additional currency on the spot market
(and bear the expense of such purchase) if the market value of the security is
less than the amount of foreign currency the Portfolio is obligated to deliver
when a decision is made to sell the security and make delivery of the foreign
currency in settlement of a forward contract. Conversely, it may be necessary to
sell on the spot market some of the foreign currency received upon the sale of
the portfolio 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
 
                                       17



<PAGE>
 
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 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.
 
                                       18



<PAGE>
 
Collateralized obligations issued or guaranteed by a U.S. Government Agency or
instrumentality, such as the Federal Home Loan Mortgage Corporation, are
considered U.S. Government securities for purposes of this prospectus.
Privately-issued collateralized obligations collateralized by a portfolio of
U.S. Government securities are not direct obligations of the U.S. Government or
any of its agencies or instrumentalities and are not considered U.S. Government
securities for purposes of this prospectus. A variety of types of collateralized
obligations are available currently and others may become available in the
future.
 
Since the collateralized obligations may be issued in classes with varying
maturities and interest rates, the investor may obtain greater predictability of
maturity than with direct investments in mortgage-backed securities. Classes
with shorter maturities may have lower volatility and lower yield while those
with longer maturities may have higher volatility and higher yield. This
provides the investor with greater control over the characteristics of the
investment in a changing interest rate environment. With respect to interest
only and principal only securities, an investor has the option to select from a
pool of underlying collateral the portion of the cash flows that most closely
corresponds to the investor's forecast of interest rate movements. These
instruments tend to be highly sensitive to prepayment rates on the underlying
collateral and thus place a premium on accurate prepayment projections by the
investor.
 
Each Portfolio may invest in collateralized obligations whose yield floats
inversely against a specified index rate. These "inverse floaters" are more
volatile than conventional fixed or floating rate collateralized obligations and
the yield thereon, as well as the value thereof, will fluctuate in inverse
proportion to changes in the index upon which rate adjustments are based. As a
result, the yield on an inverse floater will generally increase when market
yields (as reflected by the index) decrease and decrease when market yields
increase. The extent of the volatility of inverse floaters depends on the extent
of anticipated changes in market rates of interest. Generally, inverse floaters
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"), 222 South Riverside
Plaza, Chicago, Illinois 60606, is the investment manager of the Fund and
provides each Portfolio with continuous professional investment supervision.
Zurich Kemper Value Advisors, Inc. ("ZKVA") 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-nine 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 $89 billion
under management. ZKI acts as investment manager for 32 open-end and seven
closed-end investment companies, with 86 separate investment portfolios,
representing more than 2.5 million shareholder accounts. ZKI is an indirect
subsidiary of Zurich Insurance Company, a leading internationally recognized
provider of insurance and financial services in property/casualty and life
insurance, reinsurance and structured financial solutions as well as asset
management.
 
Zurich Insurance Company ("Zurich") has entered into a definitive agreement with
Scudder, Stevens & Clark, Inc. ("Scudder") pursuant to which Zurich will acquire
approximately 70% of Scudder. Upon completion of the transaction, Scudder will
change its name to Scudder Kemper Investments, Inc. ("SKI"), and ZKI will be
operated either as a subsidiary of SKI or as part of SKI. Consummation of the
transaction is subject to a number of contingencies. Because the transaction
would constitute an assignment of the Fund's investment management agreements
with ZKI and Rule 12b-1 agreements under the Investment Company Act of 1940, ZKI
is seeking approval of new agreements. The Fund's board has approved new
agreements subject to shareholder approval. If the contingencies are timely met,
the transaction is expected to close in the fourth quarter of 1997. Zurich will
 
                                       19



<PAGE>
 
own 69.5% of SKI and senior employees of SKI will hold the remaining 30.5%. SKI
will be headquartered in New York City and the chief executive officer of SKI
will be Edmond D. Villani, Scudder's president and chief executive officer. Mr.
Villani will also join Zurich's Corporate Executive Board. A transition team
comprised of representatives from ZKI, Zurich, and Scudder has been formed to
make recommendations regarding combining the operations of Scudder and ZKI.
 
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. Zurich Investment Management Limited ("ZIML"), 1 South Place,
London, U.K. EC2M 2ZS, an affiliate of ZKI, is a sub-adviser of the Fund. ZIML
is an indirect subsidiary of Zurich Insurance Company and has served as sub-
adviser for the Fund since December, 1996 and investment adviser for certain
institutional accounts since August, 1988. Under the terms of the Sub-Advisory
Agreement between ZIML and ZKI for the Fund, ZIML renders investment advisory
and management services with regard to such portion of the Fund's portfolio as
may be allocated to ZIML by ZKI from time to time for management of foreign
securities, including foreign currency transactions and related investments. ZKI
pays ZIML a sub-advisory fee for its services, payable monthly at the annual
rate of .35% of the portion of the average daily net assets of the Fund
allocated by ZKI to ZIML for management.
 
Daniel J. Bukowski (since 1997) and William M. Knapp (since 1997) are the
portfolio co-managers of the Fund. Mr. Bukowski joined ZKI in 1989 and is a
senior vice president and director of quantitative research of ZKI. He received
a B.A. in statistics and an M.B.A. in finance from the University of Chicago.
Mr. Knapp joined ZKI in 1992 and is a first vice president of ZKI. He received a
B.S. in economics from Drake University and an M.S. and Ph.D. in industrial
organization and finance from the University of Wisconsin--Madison. For the
value portion of the U.S. equities portion of each Portfolio, asset management
is performed by ZKVA as sub-adviser.
 
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>
 
ZKVA. As mentioned above, ZKVA is a sub-adviser for the Fund. Under the terms of
the Sub-Advisory Agreement, ZKVA 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. ZKVA, 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. ZKVA is a wholly-owned subsidiary of ZKI
and is located at 280 Park Avenue, 40th Floor, New York, New York 10017. ZKI
pays ZKVA 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 ZKVA for management.
 
PRINCIPAL UNDERWRITER. Pursuant to an underwriting and distribution services
agreement ("distribution agreement") with the Fund, Zurich Kemper Distributors,
Inc. ("ZKDI"), 222 South Riverside Plaza, Chicago, Illinois, 60606, 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. ZKDI
bears all its expenses of providing services pursuant to
                                       20



<PAGE>
 
the distribution agreement, including the payment of any commissions. ZKDI
provides for the preparation of advertising or sales literature and bears the
cost of printing and mailing prospectuses to persons other than shareholders.
ZKDI 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. ZKDI may enter into related selling group agreements with various
broker-dealers, including affiliates of ZKDI, that provide distribution services
to investors. ZKDI also may provide some of the distribution services.
 
CLASS A SHARES. ZKDI 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," ZKDI 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, ZKDI 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. ZKDI also receives any
contingent deferred sales charges. See "Redemption or Repurchase of
Shares--Contingent Deferred Sales Charge--Class B Shares." ZKDI 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, ZKDI 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. ZKDI 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, ZKDI 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 ZKDI or the Fund.
ZKDI 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 ZKDI 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
connection with the Fund's Rule 12b-1 Plan for each Portfolio for the fiscal
year ended July 31, 1997.
 
<TABLE>
<CAPTION>
                                                                                             CONTINGENT
                                             DISTRIBUTION 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+................................  $1,062,000    105,000    148,000   17,000    20,000         0
Horizon 10+................................  $  922,000    130,000    141,000   27,000    19,000     4,000
Horizon 5..................................  $  518,000     74,000     90,000   14,000    14,000     1,000
</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
ZKDI 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 ZKDI
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 ZKDI for its expenses incurred.
 
ADMINISTRATIVE SERVICES. ZKDI also provides information and administrative
services for shareholders of the Fund pursuant to an administrative services
agreement ("administrative agreement"). ZKDI may enter into
 
                                       21



<PAGE>
 
related arrangements with various broker-dealer firms and other service or
administrative firms ("firms"), that provide services and facilities for their
customers or clients who are investors of the Fund. Such administrative services
and assistance may include, but are not limited to, establishing and maintaining
shareholder accounts and records, processing purchase and redemption
transactions, answering routine inquiries regarding the Fund and its special
features, and such other services as may be agreed upon from time to time and
permitted by applicable statute, rule or regulation. ZKDI 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 ZKDI 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. ZKDI 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
ZKDI.
 
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 ZKDI or the Fund. The fees are calculated
monthly and normally paid quarterly.
 
CLASS B AND CLASS C SHARES. ZKDI 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, ZKDI currently intends to pay firms a service fee
at a rate of up to .25% (calculated monthly and normally paid quarterly) of the
net assets attributable to Class B and Class C shares maintained and serviced by
the firm. After the first year, a firm will become eligible for the quarterly
service fee and the fee continues until terminated by ZKDI or the Fund.
 
ZKDI 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 ZKDI is based only upon Portfolio assets
in accounts for which a firm provides administrative services and it is intended
that ZKDI will pay all the administrative services fee that it receives from a
Portfolio to firms in the form of service fees. The effective administrative
services fee rate to be charged against all assets of a Portfolio while this
procedure is in effect will depend upon the proportion of Portfolio assets that
is in accounts for which a firm provides administrative services. In addition,
ZKDI may, from time to time, from its own resources pay certain firms additional
amounts for ongoing administrative services and assistance provided to their
customers and clients who are shareholders of the Fund.
 
CUSTODIAN, TRANSFER AGENT AND SHAREHOLDER SERVICE AGENT. Investors Fiduciary
Trust Company ("IFTC"), 801 Pennsylvania Avenue, Kansas City, Missouri 64105, as
custodian, and State Street Bank and Trust Company, 225 Franklin Street, Boston,
Massachusetts 02110, as sub-custodian, have custody of all securities and cash
of the Fund maintained in the United States. The Chase Manhattan Bank, Chase
MetroTech Center, Brooklyn, New York 11245, as custodian, has custody of all
securities and cash of the Fund held outside the United States. IFTC also is the
Fund's transfer agent and dividend-paying agent. Pursuant to a services
agreement with IFTC, Zurich Kemper Service Company ("ZKSC"), 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 ZKVA 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.
 
                                       22



<PAGE>
 
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 distributing the dividends. Each Portfolio will reinvest
dividend checks (and future dividends) in shares of that same Portfolio and
class if checks are returned as undeliverable. Dividends and other distributions
in the aggregate amount of $10 or less are automatically reinvested in shares of
the same Portfolio unless the shareholder requests that such policy not be
applied to the shareholder's account.
 
TAXES. 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 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 are taxed at a
maximum rate of 20% on gains realized by a Portfolio from securities held more
than 18 months and at a maximum rate of 28% on gains realized by a Portfolio
from securities held more than 12 months but less than 18 months. Dividends
declared in October, November or December to shareholders of record as of a date
in one of those months and paid during the following January are treated as paid
on December 31 of the calendar year declared. A portion of the dividends paid by
a Portfolio may qualify for the dividends received deduction available to
corporate shareholders.
 
A dividend received shortly after the purchase of shares reduces the net asset
value of the shares by the amount of the dividend and, although in effect a
return of capital, will be taxable to the shareholder. If the net asset value of
shares were reduced below the shareholder's cost by dividends representing gains
realized on sales of securities, such dividends would be a return of investment
though taxable as stated above.
 
Each Portfolio is required by law to withhold 31% of taxable dividends and
redemption proceeds paid to certain shareholders who do not furnish a correct
taxpayer identification number (in the case of individuals, a social security
number) and in certain other circumstances. 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
 
                                       23



<PAGE>
 
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 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.
 
                                       24



<PAGE>
 
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 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).
 
                                       25



<PAGE>
 
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
                                                          OF OFFERING PRICE    OF NET ASSET VALUE*    OFFERING PRICE
                  AMOUNT OF PURCHASE                      -----------------    -------------------    --------------
<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 ZKDI as discussed below.
 
Each Portfolio receives the entire net asset value of all its Class A shares
sold. ZKDI, 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, ZKDI 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. ZKDI 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 Intent" and "Cumulative Discount" features described
under "Special Features"; or (b) a participant-directed qualified retirement
plan described in Code Section 401(a) or a participant-directed non-qualified
deferred compensation plan described in Code Section 457 or a
participant-directed qualified retirement plan described in Code Section
403(b)(7) which is not sponsored by a K-12 school district, provided in each
case that such plan has not less than 200 eligible employees (the "Large Order
NAV Purchase Privilege"). Redemption within two years of shares purchased under
the Large Order NAV Purchase Privilege may be subject to a contingent deferred
sales charge. See "Redemption or Repurchase of Shares--Contingent Deferred Sales
Charge--Large Order NAV Purchase Privilege."
 
                                       26



<PAGE>
 
ZKDI may in its discretion compensate investment dealers or other financial
services firms in connection with the sale of Class A shares of the Fund at net
asset value in accordance with the Large Order NAV Purchase Privilege up to the
following amounts: 1.00% of the net asset value of shares sold on amounts up to
$5 million, .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 ZKSC. For purposes of determining the appropriate commission percentage
to be applied to a particular sale, ZKDI will consider the cumulative amount
invested by the purchaser in the Fund and other Kemper Mutual Funds listed under
"Special Features--Class A Shares--Combined Purchases," including purchases
pursuant to the "Combined Purchases," "Letter of Intent" and "Cumulative
Discount" features referred to above. The privilege of purchasing Class A shares
at net asset value under the Large Order NAV Purchase Privilege is not available
if another net asset value purchase privilege is also applicable (including the
purchase of Class A shares of the Cash Reserves Fund).
 
Effective on February 1, 1996, Class A shares of the 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, ZKDI 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 ZKDI. 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 ZKDI, for themselves or members of their
families. ZKDI 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 ZKDI 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 Value Fund, Inc. ("KVF") on September 8, 1995, and
have continuously owned shares of KVF (or a Kemper Fund acquired by exchange of
KVF shares) since that date, for themselves or members of their families; and
(d) any trust, pension, profit-sharing or other benefit plan for only such
persons. Class A shares may be sold at net asset value in any amount to selected
employees (including their spouses and dependent children) of banks and other
financial services firms that provide administrative services related to order
placement and payment to facilitate transactions in shares of the Fund for their
clients pursuant to an agreement with ZKDI 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 Ranson & Associates,
 
                                       27



<PAGE>
 
Inc. In addition, unitholders of unit investment trusts sponsored by Ranson &
Associates, Inc. or its predecessors may purchase Class A shares at net asset
value through reinvestment programs described in the prospectuses of such trusts
that have such programs. 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 ZKDI, including a requirement that such shares be sold for the benefit of
their clients participating in an investment advisory or similar program under
which such clients pay a fee to the investment adviser or other firm for
portfolio management and other services. Such shares are sold for investment
purposes and on the condition that they will not be resold except through
redemption or repurchase by the 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.
 
Class A shares of the Fund may be purchased at net asset value by persons who
purchase such shares through bank trust departments that process such trades
through an automated, integrated mutual fund clearing program provided by a
third party clearing firm.
 
Class A shares of the Fund may be purchased at net asset value by persons who
purchase shares of the Fund through ZKDI as part of an automated billing and
wage deduction program administered by RewardsPlus of America for the benefit of
employees of participating employer groups.
 
The sales charge scale is applicable to purchases made at one time by any
"purchaser" which includes: an individual; or an individual, his or her spouse
and children under the age of 21; or a trustee or other fiduciary of a single
trust estate or single fiduciary account; or an organization exempt from federal
income tax under Section 501(c)(3) or (13) of the Code; or a pension,
profit-sharing or other employee benefit plan whether or not qualified under
Section 401 of the Code; or other organized group of persons whether
incorporated or not, provided the organization has been in existence for at
least six months and has some purpose other than the purchase of redeemable
securities of a registered investment company at a discount. In order to qualify
for a lower sales charge, all orders from an organized group will have to be
placed through a single investment dealer or other firm and identified as
originating from a qualifying purchaser.
 
DEFERRED SALES CHARGE ALTERNATIVE--CLASS B SHARES. Investors choosing the
deferred sales charge alternative may purchase Class B shares at net asset value
per share without any sales charge at the time of purchase. Since Class B shares
are being sold without an initial sales charge, the full amount of the
investor's purchase payment will be invested in Class B shares for his or her
account. A contingent deferred sales charge may be imposed upon redemption of
Class B shares. See "Redemption or Repurchase of Shares--Contingent Deferred
Sales Charge--Class B Shares."
 
ZKDI 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. ZKDI
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 ZKDI 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.
 
                                       28



<PAGE>
 
PURCHASE OF CLASS C SHARES. The public offering price of the Class C shares of a
Portfolio is the next determined net asset value. No initial sales charge is
imposed. Since Class C shares are sold without an initial sales charge, the full
amount of the investor's purchase payment will be invested in Class C shares for
his or her account. A contingent deferred sales charge may be imposed upon
redemption of Class C shares within one year of purchase. See "Redemption or
Repurchase of Shares--Contingent Deferred Sales Charge--Class C Shares." ZKDI
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, ZKDI
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. ZKDI 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 ZKDI 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. ZKDI does not believe that termination of a
relationship with a bank would result in any material adverse consequences to
any Portfolio.
 
ZKDI may, from time to time, pay or allow to firms a 1% commission on the amount
of shares of a Fund sold by the firm under the following conditions: (i) the
purchased shares are held in a Kemper IRA account, (ii) the shares are purchased
as a direct "roll over" of a distribution from a qualified retirement plan
account maintained on a participant subaccount record keeping system provided by
ZKSC, (iii) the registered representative placing the trade is a member of
ProStar, a group of persons designated by ZKDI in acknowledgement of their
dedication to the employee benefit plan area and (iv) the purchase is not
otherwise subject to a commission.
 
In addition to the discounts or commissions described above, ZKDI 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 ZKDI.
 
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
ZKDI of the order accompanied by payment. However, orders received
 
                                       29



<PAGE>
 
by dealers or other financial services firms prior to the determination of net
asset value (see "Net Asset Value") and received by ZKDI prior to the close of
its business day will be confirmed at a price based on the net asset value
effective on that day ("trade date"). The Fund reserves the right to determine
the net asset value more frequently than once a day if deemed desirable. Dealers
and other financial services firms are obligated to transmit orders promptly.
Collection may take significantly longer for a check drawn on a foreign bank
than for a check drawn on a domestic bank. Therefore, if an order is accompanied
by a check drawn on a foreign bank, funds must normally be collected before
shares will be purchased. See "Purchase and Redemption of Shares" in the
Statement of Additional Information.
 
Investment dealers and other firms provide varying arrangements for their
clients to purchase and redeem the Fund's shares. Some may establish higher
minimum investment requirements than set forth above. Firms may arrange with
their clients for other investment or administrative services. Such firms may
independently establish and charge additional amounts to their clients for such
services, which charges would reduce the clients' return. Firms also may hold
the Fund's shares in nominee or street name as agent for and on behalf of 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 ZKDI,
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 ZKSC, 811 Main Street, Kansas
City, Missouri 64105-2005 or to the firm from which they received this
prospectus.
 
REDEMPTION OR REPURCHASE OF SHARES
 
GENERAL. Any shareholder may require the Fund to redeem his or her shares. When
shares are held for the account of a shareholder by the Fund's transfer agent,
the shareholder may redeem them by sending a written request with signatures
guaranteed to Kemper Funds, Attention: Redemption Department, P.O. Box 419557,
Kansas City, Missouri 64141-6557. When certificates for shares have been issued,
they must be mailed to or deposited with the Shareholder Service Agent, along
with a duly endorsed stock power and accompanied by a written request for
redemption. Redemption requests and a stock power must be endorsed by the
account holder with signatures guaranteed by a commercial bank, trust company,
savings and loan association, federal savings bank, member firm of a national
securities exchange or other eligible financial institution. The redemption
request and stock power must be signed exactly as the account is registered
including any special capacity of the registered owner. Additional documentation
may be requested, and a signature guarantee is normally required, from
institutional and fiduciary account holders, such as corporations, custodians
(e.g., under the Uniform Transfers to Minors Act), executors, administrators,
trustees or guardians.
 
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
 
                                       30



<PAGE>
 
documents as described above. Payment for shares redeemed will be made in cash
as promptly as practicable but in no event later than seven days after receipt
of a properly executed request accompanied by any outstanding share certificates
in proper form for transfer. When the Fund is asked to redeem shares for which
it may not have yet received good payment (i.e., purchases by check,
Express-Transfer or Bank Direct Deposit), it may delay transmittal of redemption
proceeds until it has determined that collected funds have been received for the
purchase of such shares, which will be up to 10 days from receipt by the Fund of
the purchase amount. The redemption within two years of Class A shares purchased
at net asset value under the Large Order NAV Purchase Privilege may be subject
to a contingent deferred sales charge (see "Purchase of Shares--Initial Sales
Charge Alternative--Class A Shares") and the redemption of Class B shares within
six years may be subject to a contingent deferred sales charge (see "Contingent
Deferred Sales Charge--Class B Shares" below), and the redemption of Class C
shares within the first year following purchase may be subject to a contingent
deferred sales charge (see "Contingent Deferred Sales Charge--Class C Shares"
below).
 
Because of the high cost of maintaining small accounts, effective January 1998,
the Fund may assess a quarterly fee of $9 on an account with a balance below
$1,000 for the quarter. The fee will not apply to accounts enrolled in an
automatic investment program, Individual Retirement Accounts or employer
sponsored employee benefit plans using the subaccount record keeping system made
available through the Shareholder Service Agent.
 
Shareholders can request the following telephone privileges: expedited wire
transfer redemptions and EXPRESS-Transfer transactions (see "Special Features")
and exchange transactions for individual and institutional accounts and
pre-authorized telephone redemption transactions for certain institutional
accounts. Shareholders may choose these privileges on the account application or
by contacting the Shareholder Service Agent for appropriate instructions. Please
note that the telephone exchange privilege is automatic unless the shareholder
refuses it on the account application. A Fund or its agents may be liable for
any losses, expenses or costs arising out of fraudulent or unauthorized
telephone requests pursuant to these privileges unless the Fund or its agents
reasonably believe, based upon reasonable verification procedures, that the
telephonic instructions are genuine. The SHAREHOLDER WILL BEAR THE RISK OF LOSS,
including loss resulting from fraudulent or unauthorized transactions, so long
as reasonable verification procedures are followed. Verification procedures
include recording instructions, requiring certain identifying information before
acting upon instructions and sending written confirmations.
 
TELEPHONE REDEMPTIONS. If the proceeds of the redemption (prior to the
imposition of any applicable contingent deferred sales charge) are $50,000 or
less and the proceeds are payable to the shareholder of record at the address of
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 ZKDI, which the Fund has authorized to
 
                                       31



<PAGE>
 
act as its agent. There is no charge by ZKDI with respect to repurchases;
however, dealers or other firms may charge customary commissions for their
services. Dealers and other financial services firms are obligated to transmit
orders promptly. The repurchase price of a Portfolio will be the net asset value
of that Portfolio next determined after receipt of a request by ZKDI. 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 ZKDI
prior to the close of ZKDI'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
wire transfer redemption privilege. The Fund reserves the right to terminate or
modify this privilege at any time.
 
CONTINGENT DEFERRED SALES CHARGE--LARGE ORDER NAV PURCHASE PRIVILEGE. A
contingent deferred sales charge may be imposed upon redemption of Class A
shares that are purchased under the Large Order NAV Purchase Privilege as
follows: 1% if they are redeemed within one year of purchase and .50% if they
are redeemed during the second year following purchase. The charge will not be
imposed upon redemption of reinvested dividends or share appreciation. The
charge is applied to the value of the shares redeemed excluding amounts not
subject to the charge. The contingent deferred sales charge will be waived in
the event of: (a) redemptions by a participant-directed qualified retirement
plan described in Code Section 401(a) or a participant-directed non-qualified
deferred compensation plan described in Code Section 457 or a participant-
directed qualified retirement plan described in Code Section 403(b)(7) which is
not sponsored by a K-12 school district; (b) redemptions by employer sponsored
employee benefit plans using the subaccount record keeping system made available
through the Shareholder Service Agent; (c) redemption of shares of a shareholder
(including a registered joint owner) who has died; (d) redemption of shares of a
shareholder (including a registered joint owner) who after purchase of the
shares being redeemed becomes totally disabled (as evidenced by a determination
by the federal Social Security Administration); (e) redemptions under the Fund's
Systematic Withdrawal Plan at a maximum of 10% per year of the net asset value
of the account; and (f) redemptions of shares of a shareholder whose dealer of
record at the time of the investment notifies ZKDI 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
 
                                       32



<PAGE>
 
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
                                   SHARES PURCHASED ON OR AFTER     FEBRUARY 1, 1991 AND BEFORE    SHARES PURCHASED BEFORE
YEAR OF REDEMPTION AFTER 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. A contingent deferred sales
charge of 1% may be imposed upon redemption of Class C shares if they are
redeemed within one year of purchase. The charge will not be imposed upon
redemption of reinvested dividends or share appreciation. The charge is applied
to the value of the shares redeemed excluding amounts not subject to the charge.
The contingent deferred sales charge
 
                                       33



<PAGE>
 
will be waived (a) in the event of the total disability (as evidenced by a
determination by the federal Social Security Administration) of the shareholder
(including a registered joint owner) occurring after the purchase of the shares
being redeemed, (b) in the event of the death of the shareholder (including a
registered joint owner), (c) for redemptions made pursuant to a systematic
withdrawal plan (limited to 10% of the net asset value of the account during the
first year, see "Special Features--Systematic Withdrawal Plan"), (d) for
redemptions made pursuant to any IRA systematic withdrawal based on the
shareholder's life expectancy including, but not limited to, substantially equal
periodic payments described in Internal Revenue Code Section 72(t)(2)(A)(iv)
prior to age 59 1/2, (e) for redemptions to satisfy required minimum
distributions after age 70 1/2 from an IRA account (with the maximum amount
subject to this waiver being based only upon the shareholder's Kemper IRA
accounts), (f) for any participant-directed redemption of shares held by
employer sponsored employee benefit plans maintained on the subaccount record
keeping system made available by the Shareholder Service Agent and (g)
redemption of shares by an employer sponsored employee benefit plan that offers
funds in addition to Kemper Funds and whose dealer of record has waived the
advance of the first year administrative service and distribution fees
applicable to such shares and agrees to receive such fees quarterly.
 
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. ZKDI
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
 
                                       34



<PAGE>
 
postponement of the recognition of such loss for federal income tax purposes.
The reinvestment privilege may be terminated or modified at any time.
 
SPECIAL FEATURES
 
CLASS A SHARES--COMBINED PURCHASES. Class A shares (or the equivalent) may be
purchased at the rate applicable to the discount bracket attained by combining
concurrent investments in Class A shares of any of the following funds: Kemper
Technology Fund, Kemper Total Return Fund, Kemper Growth Fund, Kemper Small
Capitalization Equity Fund, Kemper Income and Capital Preservation Fund, Kemper
Municipal Bond Fund, Kemper Diversified Income Fund, Kemper High Yield Series,
Kemper U.S. Government Securities Fund, Kemper International Fund, Kemper State
Tax-Free Income Series, Kemper Adjustable Rate U.S. Government Fund, Kemper Blue
Chip Fund, Kemper Global Income Fund, Kemper Target Equity Fund (series are
subject to a limited offering period), Kemper Intermediate Municipal Bond Fund,
Kemper Cash Reserves Fund, Kemper U.S. Mortgage Fund, Kemper Short-Intermediate
Government Fund, Kemper Value Plus Growth Fund, Kemper Value Fund, Inc., Kemper
Horizon Fund, Kemper Quantitative Equity Fund, Kemper Europe Fund, Kemper Asian
Growth Fund and Kemper Aggressive Growth Fund ("Kemper Mutual Funds"). Except as
noted below, there is no combined purchase credit for direct purchases of shares
of Zurich Money Funds, Cash Equivalent Fund, Tax-Exempt California Money Market
Fund, Cash Account Trust, Investors Municipal Cash Fund or Investors Cash Trust
("Money Market Funds"), which are not considered "Kemper Mutual Funds" for
purposes hereof. For purposes of the Combined Purchases feature described above
as well as for the Letter of Intent and Cumulative Discount features described
below, employer sponsored employee benefit plans using the subaccount record
keeping system made available through the Shareholder Service Agent may include:
(a) Money Market Funds as "Kemper Mutual Funds", (b) all classes of shares of
any Kemper Mutual Fund and (c) the value of any other plan investment, such as
guaranteed investment contracts and employer stock, maintained on such
subaccount record keeping system.
 
CLASS A SHARES--LETTER OF INTENT. The same reduced sales charges for Class A
shares, as shown in the applicable prospectus, also apply to the aggregate
amount of purchases of such Kemper Mutual Funds listed above made by any
purchaser within a 24-month period under a written Letter of Intent ("Letter")
provided by ZKDI. 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 ZKDI 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.
                                       35



<PAGE>
 
EXCHANGE PRIVILEGE. Shareholders of Class A, Class B and Class C shares may
exchange their shares for shares of the corresponding class of other Kemper
Mutual Funds in accordance with the provisions below.
 
CLASS A SHARES. Class A shares of the Kemper Mutual Funds and shares of the
Money Market Funds listed under "Special Features--Class A Shares--Combined
Purchases" above may be exchanged for each other at their relative net asset
values. Shares of Money Market Funds and the Kemper Cash Reserves Fund that were
acquired by purchase (not including shares acquired by dividend reinvestment)
are subject to the applicable sales charge on exchange. Series of Kemper Target
Equity Fund are available on exchange only during the Offering Period for such
series as described in the applicable prospectus. Cash Equivalent Fund,
Tax-Exempt California Money Market Fund, Cash Account Trust, Investors Municipal
Cash Fund and Investors Cash Trust are available on exchange but only through a
financial services firm having a services agreement with ZKDI.
 
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 of a Kemper Mutual Fund with a value in excess of $1,000,000
(except Kemper Cash Reserves Fund) acquired by exchange from another Kemper
Mutual Fund, or from a Money Market Fund, may not be exchanged thereafter until
they have been owned for 15 days (the "15 Day Hold Policy"). For purposes of
determining whether the 15 Day Hold Policy applies to a particular exchange, the
value of the shares to be exchanged shall be computed by aggregating the value
of shares being exchanged for all accounts under common control, direction, or
advice, including without limitation, accounts administered by a financial
services firm offering market timing, asset allocation or similar services. The
total value of shares being exchanged must at least equal the minimum investment
requirement of the Kemper Fund into which they are being exchanged. Exchanges
are made based on relative dollar values of the shares involved in the exchange.
There is no service fee for an exchange; however, dealers or other firms may
charge for their services in effecting exchange transactions. Exchanges will be
effected by redemption of shares of the fund held and purchase of shares of the
other fund. For federal income tax purposes, any such exchange constitutes a
sale upon which a gain or loss may be realized, depending upon whether the value
of the shares being exchanged is more or less than the shareholder's adjusted
cost basis of such shares. Shareholders interested in exercising the exchange
privilege may obtain prospectuses of the other funds from dealers, other firms
or ZKDI. Exchanges may be accomplished by a written request to ZKSC, 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
 
                                       36



<PAGE>
 
modified at any time. Exchanges may only be made for funds that are available
for sale in the shareholder's state of residence. Currently, Tax-Exempt
California Money Market Fund is available for sale only in California and
Investors Municipal Cash Fund is available for sale only in certain states.
 
SYSTEMATIC EXCHANGE PRIVILEGE. The owner of $1,000 or more of any class of the
shares of a Kemper Mutual Fund or Money Market Fund may authorize the automatic
exchange of a specified amount ($100 minimum) of such shares for shares of the
same class of another such Kemper Fund. If selected, exchanges will be made
automatically until the privilege is terminated by the shareholder or the Kemper
Fund. Exchanges are subject to the terms and conditions described above under
"Exchange Privilege," except that the $1,000 minimum investment requirement for
the Kemper Fund acquired on exchange is not applicable. This privilege may not
be used for the exchange of shares held in certificated form.
 
EXPRESS-TRANSFER. EXPRESS-Transfer permits the transfer of money via the
Automated Clearing House System (minimum $100 and maximum $50,000 from a
shareholder's bank, savings and loan, or credit union account to purchase shares
of the Fund. Shareholders can also redeem shares (minimum $100 and maximum
$50,000) from their Fund account and transfer the proceeds to their bank,
savings and loan, or credit union checking account. Shares purchased by check or
through EXPRESS-Transfer or Bank Direct Deposit may not be redeemed under this
privilege until such shares have been owned for at least 10 days. By enrolling
in EXPRESS-Transfer, the shareholder authorizes the Shareholder Service Agent to
rely upon telephone instructions from any person to transfer the specified
amounts between the shareholder's Fund account and the predesignated bank,
savings and loan or credit union account, subject to the limitations on
liability under "Redemption or Repurchase of Shares--General." Once enrolled in
EXPRESS-Transfer, a shareholder can initiate a transaction by calling
Shareholder Services toll free at 1-800-621-1048 Monday through Friday, 8:00
a.m. to 3:00 p.m. Chicago time. Shareholders may terminate this privilege by
sending written notice to ZKSC, 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 ZKSC,
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
 
                                       37



<PAGE>
 
Retirement Accounts. The minimum periodic payment is $100. The maximum annual
rate at which Class B shares may be redeemed (and Class A shares purchased under
the Large Order NAV Purchase Privilege and Class C shares in the first year
following the purchase) under a systematic withdrawal plan is 10% of the net
asset value of the account. Shares are redeemed so that the payee will receive
payment approximately the first of the month. Any income and capital gain
dividends will be automatically reinvested at net asset value. A sufficient
number of full and fractional shares will be redeemed to make the designated
payment. Depending upon the size of the payments requested and fluctuations in
the net asset value of the shares redeemed, redemptions for the purpose of
making such payments may reduce or even exhaust the account.
 
The purchase of Class A shares while participating in a systematic withdrawal
plan will ordinarily be disadvantageous to the investor because the investor
will be paying a sales charge on the purchase of shares at the same time that
the investor is redeeming shares upon which a sales charge may have already been
paid. Therefore, the Fund will not knowingly permit additional investments of
less than $2,000 if the investor is at the same time making systematic
withdrawals. ZKDI 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 ZKDI can establish investor accounts
in any of the following types of retirement plans:
 
- - Individual Retirement Accounts ("IRAs") with IFTC as custodian. This includes
  Savings Incentive Match Plan for Employees of Small Employers ("SIMPLE"), IRA
  accounts and Simplified Employee Pension Plan ("SEP") IRA accounts and
  prototype documents.
 
- - 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, SIMPLE 401(k) plans and materials
for establishing them are available from the Shareholder Service Agent upon
request. The brochures for plans with IFTC as custodian, describe the current
fees payable to IFTC for its services as custodian. Investors should consult
with their own tax advisers before establishing a retirement plan.
 
PERFORMANCE
 
The Fund may advertise several types of performance information for each
Portfolio and each class of shares of each Portfolio, including "average annual
total return" and "total return." Performance information will be computed
separately for Class A, Class B and Class C shares. Each of these figures is
based upon historical results and is not representative of the future
performance of any class of any Portfolio.
 
Average annual total return and total return figures measure both the net
investment income generated by, and the effect of any realized and unrealized
appreciation or depreciation of, the underlying investments held by a portfolio
for the period referenced, assuming the reinvestment of all dividends. Thus,
these figures reflect the change in the value of an investment in a Portfolio
during a specified period. Average annual total return will be quoted for at
least the one, five and ten year periods ending on a recent calendar quarter (or
if such periods have not yet elapsed, at the end of a shorter period
corresponding to the life of the Portfolio for performance purposes). Average
annual total return figures represent the average annual percentage change over
the period in question. Total return figures represent the aggregate percentage
or dollar value change over the period in question.
 
                                       38



<PAGE>
 
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 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.
 
                                       39



<PAGE>
 
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 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.
 
                                       40



<PAGE>
                                  PROSPECTUS


                          KEMPER ASSET ALLOCATION FUNDS


                              November 21, 1997
                              -----------------

                                KEMPER HORIZON
                                20+ PORTFOLIO

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





                                 KEMPER FUNDS
                             [KEMPER FUNDS LOGO]



Investment Manager
Zurich Kemper Investments, Inc.

Principal Underwriter
Zurich Kemper Distributors, Inc.
222 South Riverside Plaza 
Chicago, IL  60606-5808
www.kemper.com  E-mail [email protected]
Tel (800)621-1048

[RECYCLE LOGO] printed on recycled paper
KHF-1(11/97) ZKDI 710047








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