KEMPER AGGRESSIVE GROWTH FUND
NSAR-B, 1999-12-09
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<PAGE>      PAGE  1
000 B000000 09/30/1999
000 C000000 0001024112
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000 I000000 6.1
000 J000000 A
001 A000000 KEMPER AGGRESSIVE GROWTH FUND
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001 C000000 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
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"008 A000001 SCUDDER KEMPER INVESTMENTS, INC."
008 B000001 A
008 C000001 801-44899
008 D010001 NEW YORK
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008 D030001 10154
008 D040001 0100
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011 C030001 60606
<PAGE>      PAGE  2
011 C040001 5808
012 A000001 KEMPER SERVICE COMPANY
012 B000001 84-1713
012 C010001 KANSAS CITY
012 C020001 MO
012 C030001 64141
013 A000001 ERNST & YOUNG LLP
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013 B030001 60606
"014 A000001 KEMPER DISTRIBUTORS, INC."
014 B000001 8-47765
"014 A000002 GRUNTAL & CO., INC."
014 B000002 8-31022
"014 A000003 THE GMS GROUP, L.L.C. (A GRUNTAL AFFILIATE)"
014 B000003 8-23936
"014 A000004 SCUDDER INVESTORS SERVICES, INC."
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015 A000001 STATE STREET BANK AND TRUST COMPANY
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<PAGE>      PAGE  3
018  000000 Y
019 A000000 Y
019 B000000   72
019 C000000 KEMPERFNDS
020 A000001 COWEN & CO.
020 B000001 13-5616116
020 C000001     71
020 A000002 INSTINET CORPORATION
020 B000002 13-3443395
020 C000002     13
020 A000003 WEEDEN & CO.
020 B000003 13-3364318
020 C000003      6
020 A000004 TROSTER SINGERS INC.
020 B000004 13-5515160
020 C000004      5
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020 C000005      4
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020 B000007 13-2697272
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022 C000002     58149
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022 B000003 04-1867445
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"022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC."
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022 C000004     22344
<PAGE>      PAGE  4
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SIGNATURE   PHILIP J. COLLORA
TITLE       V.P. AND SECRETARY


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY ANNUAL
REPORT TO FINANCIAL INFORMATION EXTRACTED FROM THE 1999 SHAREHOLDERS AND IS
QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001024112
<NAME> KEMPER AGGRESSIVE GROWTH FUND
<SERIES>
   <NUMBER> 001
   <NAME> CLASS A
<MULTIPLIER> 1000

<S>                             <C>
<PERIOD-TYPE>                              12-MOS
<FISCAL-YEAR-END>                          SEP-30-1999
<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
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<INVESTMENTS-AT-VALUE>                          74,555
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<EXPENSE-RATIO>                                   1.30


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER INFORMATION
IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY ANNUAL REPORT TO
FINANCIAL INFORMATION EXTRACTED FROM THE 1999 SHAREHOLDERS AND IS QUALIFIED IN
ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001024112
<NAME> KEMPER AGGRESSIVE GROWTH FUND
<SERIES>
   <NUMBER> 002
   <NAME> CLASS B
<MULTIPLIER> 1000

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<INVESTMENTS-AT-VALUE>                          74,555
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<EXPENSE-RATIO>                                   2.17


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY ANNUAL
REPORT TO FINANCIAL INFORMATION EXTRACTED FROM THE 1999 SHAREHOLDERS AND IS
QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001024112
<NAME> KEMPER AGGRESSIVE GROWTH FUND
<SERIES>
   <NUMBER> 003
   <NAME> CLASS C
<MULTIPLIER> 1000

<S>                             <C>
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<PERIOD-START>                             OCT-01-1998
<PERIOD-END>                               SEP-30-1999
<INVESTMENTS-AT-COST>                           57,342
<INVESTMENTS-AT-VALUE>                          74,555
<RECEIVABLES>                                    2,220
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
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<SHARES-COMMON-PRIOR>                              251
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<OVERDISTRIBUTION-GAINS>                             0
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<DISTRIBUTIONS-OF-GAINS>                             0
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<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          19,286
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (3,537)
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<EXPENSE-RATIO>                                   2.30


</TABLE>

                         REPORT OF INDEPENDENT AUDITORS

Board of Trustees
Kemper Funds

In planning and performing our audits of the financial statements of each of the
Kemper  Funds listed in Exhibit A attached  hereto (the  "Funds") for the period
ended as of the date listed in Exhibit A attached  hereto  ("Report  Date"),  we
considered their internal control, including control activities for safeguarding
securities,  in order to determine  our auditing  procedures  for the purpose of
expressing  our  opinion  on the  financial  statements  and to comply  with the
requirements of Form N-SAR, not to provide assurance on internal control.

The  management of the Funds is responsible  for  establishing  and  maintaining
internal control. In fulfilling this responsibility,  estimates and judgments by
management  are  required to assess the expected  benefits and related  costs of
controls.  Generally,  controls  that are  relevant  to an audit  pertain to the
entity's objective of preparing financial  statements for external purposes that
are  fairly   presented  in  conformity  with  generally   accepted   accounting
principles.   Those  controls   include  the   safeguarding  of  assets  against
unauthorized acquisition, use or disposition.

Because of inherent  limitations in internal  control,  error or fraud may occur
and not be detected.  Also,  projection of any evaluation of internal control to
future periods is subject to the risk that it may become  inadequate  because of
changes in conditions or that the  effectiveness of the design and operation may
deteriorate.

Our consideration of internal control would not necessarily disclose all matters
in  internal   control  that  might  be  material   weaknesses  under  standards
established  by the  American  Institute  of  Certified  Public  Accountants.  A
material weakness is a condition in which the design or operation of one or more
of the internal control components does not reduce to a relatively low level the
risk misstatements, error or fraud in amounts that would be material in relation
to the financial statements being audited may occur and not be detected within a
timely  period by employees in the normal course of  performing  their  assigned
functions.  However,  we noted no matters  involving  internal  control  and its
operation,  including controls for safeguarding securities,  that we consider to
be material weaknesses as defined above at Report Date.

This  report is  intended  solely  for the  information  and use of the board of
trustees and management  and the  Securities and Exchange  Commission and is not
intended  to be and  should not be used by anyone  other  than  these  specified
parties.


                                ERNST & YOUNG LLP

Chicago, Illinois
November 19, 1999





<PAGE>

Kemper Funds
- ------------

                                                              Exhibit A
                                                              ---------

September 30, 1999
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Kemper Growth Fund

Kemper Small Capitalization Equity Fund

Tax-Exempt California Money Market Fund

Kemper Aggressive Growth Fund

Kemper High Yield Series -
  Kemper High Yield Fund
  Kemper High Yield Opportunity Fund

Kemper National Tax-Free Income Series -
  Kemper Municipal Bond Fund
  Kemper Intermediate Municipal Bond Fund

Kemper Portfolios -
  Kemper Cash Reserves Fund
  Kemper U.S. Mortgage Fund

Kemper Securities Trust -
  Kemper U.S. Growth and Income Fund
  Kemper Small Cap Relative Value Fund

Kemper Income Trust -
  Kemper High Yield II Fund

                         INVESTMENT MANAGEMENT AGREEMENT

                          Kemper Aggressive Growth Fund
                            222 South Riverside Plaza
                             Chicago, Illinois 60606

                                                               September 7, 1998

Scudder Kemper Investments, Inc.
345 Park Avenue
New York, New York 10154

                         Investment Management Agreement
                          Kemper Aggressive Growth Fund

Ladies and Gentlemen:

KEMPER   AGGRESSIVE  GROWTH  FUND  (the  "Trust")  has  been  established  as  a
Massachusetts business Trust to engage in the business of an investment company.
Pursuant to the Trust's  Declaration of Trust, as amended from time-to-time (the
"Declaration"),  the Board of Trustees is authorized to issue the Trust's shares
of beneficial  interest (the "Shares"),  in separate series, or funds. The Board
of Trustees has authorized Kemper  Aggressive  Growth Fund (the "Fund").  Series
may be abolished and dissolved, and additional series established,  from time to
time by action of the Trustees.

The Trust,  on behalf of the Fund,  has  selected  you to act as the  investment
manager of the Fund and to provide  certain  other  services,  as more fully set
forth  below,  and  you  have  indicated  that  you are  willing  to act as such
investment  manager and to perform such services  under the terms and conditions
hereinafter set forth. Accordingly,  the Trust on behalf of the Fund agrees with
you as follows:

1.  Delivery of  Documents.  The Trust  engages in the business of investing and
reinvesting  the  assets of the Fund in the manner  and in  accordance  with the
investment  objectives,  policies and  restrictions  specified in the  currently
effective Prospectus (the "Prospectus") and Statement of Additional  Information
(the "SAI") relating to the Fund included in the Trust's Registration  Statement
on Form N-1A, as amended from time to time, (the "Registration Statement") filed
by the Trust under the  Investment  Company Act of 1940, as amended,  (the "1940
Act") and the  Securities  Act of 1933,  as  amended.  Copies  of the  documents
referred to in the preceding  sentence have been  furnished to you by the Trust.
The Trust has also furnished you with copies properly certified or authenticated
of each of the following additional documents related to the Trust and the Fund:

         a)       The Declaration, as amended to date.

         b)       By-Laws of the Trust as in effect on the date hereof (the
                  "By-Laws").

         c)       Resolutions of the Trustees of the Trust and the shareholders
                  of the Fund selecting you as investment manager and approving
                  the form of this Agreement.

         d)       Establishment and Designation of Series of Shares of
                  Beneficial Interest relating to the Fund, as applicable.

The Trust will furnish you from time to time with copies,  properly certified or
authenticated,  of all amendments of or  supplements,  if any, to the foregoing,
including the Prospectus, the SAI and the Registration Statement.


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2.  Portfolio  Management  Services.  As manager of the assets of the Fund,  you
shall  provide  continuing  investment  management  of the assets of the Fund in
accordance with the investment  objectives,  policies and restrictions set forth
in the  Prospectus  and SAI; the  applicable  provisions of the 1940 Act and the
Internal  Revenue Code of 1986, as amended,  (the "Code")  relating to regulated
investment  companies and all rules and  regulations  thereunder;  and all other
applicable  federal and state laws and  regulations of which you have knowledge;
subject  always to policies  and  instructions  adopted by the Trust's  Board of
Trustees.  In connection  therewith,  you shall use reasonable efforts to manage
the  Fund so that  it will  qualify  as a  regulated  investment  company  under
Subchapter M of the Code and regulations issued thereunder.  The Fund shall have
the  benefit of the  investment  analysis  and  research,  the review of current
economic  conditions and trends and the  consideration of long-range  investment
policy generally  available to your investment advisory clients. In managing the
Fund in accordance with the  requirements set forth in this section 2, you shall
be entitled  to receive  and act upon advice of counsel to the Trust.  You shall
also make  available  to the  Trust  promptly  upon  request  all of the  Fund's
investment records and ledgers as are necessary to assist the Trust in complying
with the  requirements of the 1940 Act and other  applicable laws. To the extent
required  by law,  you  shall  furnish  to  regulatory  authorities  having  the
requisite  authority any  information or reports in connection with the services
provided pursuant to this Agreement which may be requested in order to ascertain
whether the operations of the Trust are being  conducted in a manner  consistent
with applicable laws and regulations.

You  shall  determine  the  securities,  instruments,  investments,  currencies,
repurchase  agreements,   futures,  options  and  other  contracts  relating  to
investments  to be purchased,  sold or entered into by the Fund and place orders
with broker-dealers,  foreign currency dealers,  futures commission merchants or
others pursuant to your  determinations and all in accordance with Fund policies
as expressed in the Registration Statement.  You shall determine what portion of
the Fund's  portfolio  shall be invested in securities and other assets and what
portion, if any, should be held uninvested.

You shall  furnish to the  Trust's  Board of  Trustees  periodic  reports on the
investment  performance of the Fund and on the  performance of your  obligations
pursuant to this  Agreement,  and you shall supply such  additional  reports and
information  as the  Trust's  officers  or Board of  Trustees  shall  reasonably
request.

3.  Administrative  Services.  In addition to the portfolio  management services
specified  above in section 2, you shall  furnish at your expense for the use of
the Fund such office space and  facilities  in the United States as the Fund may
require for its  reasonable  needs,  and you (or one or more of your  affiliates
designated by you) shall render to the Trust  administrative  services on behalf
of the Fund  necessary for operating as an open end  investment  company and not
provided by persons not parties to this Agreement including, but not limited to,
preparing reports to and meeting materials for the Trust's Board of Trustees and
reports and notices to Fund shareholders;  supervising,  negotiating contractual
arrangements with, to the extent appropriate, and monitoring the performance of,
accounting agents, custodians, depositories, transfer agents and pricing agents,
accountants,  attorneys, printers,  underwriters,  brokers and dealers, insurers
and other  persons in any  capacity  deemed to be necessary or desirable to Fund
operations;  preparing  and making  filings  with the  Securities  and  Exchange
Commission (the "SEC") and other regulatory and  self-regulatory  organizations,
including,  but not limited to,  preliminary  and  definitive  proxy  materials,
post-effective amendments to the Registration Statement,  semi-annual reports on
Form N-SAR and notices pursuant to Rule 24f-2 under the 1940 Act; overseeing the
tabulation of proxies by the Fund's transfer agent; assisting in the preparation
and filing of the Fund's  federal,  state and local tax returns;  preparing  and
filing the Fund's  federal  excise tax return  pursuant  to Section  4982 of the
Code;   providing   assistance  with  investor  and  public  relations  matters;
monitoring  the valuation of portfolio  securities  and the  calculation  of net
asset value;  monitoring the registration of Shares of the Fund under applicable
federal and state securities  laws;  maintaining or causing to be maintained for
the Fund all books, records and reports and any other information required under
the 1940 Act,  to the extent  that such  books,  records  and  reports and other
information  are not  maintained by the Fund's  custodian or other agents of the
Fund;  assisting in establishing the accounting policies of the Fund;  assisting
in the resolution of accounting issues that may arise with respect to the Fund's
operations and consulting with the Fund's independent accountants, legal counsel
and the Fund's other agents as necessary in connection  therewith;  establishing
and monitoring the Fund's operating expense budgets; reviewing the Fund's bills;
processing the payment of bills that have been approved by an authorized person;
assisting  the Fund in  determining  the amount of dividends  and

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distributions available to be paid by the Fund to its shareholders, preparing
and arranging for the printing of dividend notices to shareholders, and
providing the transfer and dividend paying agent, the custodian, and the
accounting agent with such information as is required for such parties to effect
the payment of dividends and distributions; and otherwise assisting the Trust as
it may reasonably request in the conduct of the Fund's business, subject to the
direction and control of the Trust's Board of Trustees. Nothing in this
Agreement shall be deemed to shift to you or to diminish the obligations of any
agent of the Fund or any other person not a party to this Agreement which is
obligated to provide services to the Fund.

4. Allocation of Charges and Expenses. Except as otherwise specifically provided
in this section 4, you shall pay the  compensation and expenses of all Trustees,
officers and  executive  employees of the Trust  (including  the Fund's share of
payroll taxes) who are affiliated  persons of you, and you shall make available,
without  expense to the Fund, the services of such of your  directors,  officers
and  employees  as may duly be elected  officers of the Trust,  subject to their
individual  consent to serve and to any  limitations  imposed by law.  You shall
provide at your expense the portfolio management services described in section 2
hereof and the administrative services described in section 3 hereof.

You shall not be  required  to pay any  expenses  of the Fund  other  than those
specifically  allocated  to you in this  section 4. In  particular,  but without
limiting the generality of the foregoing,  you shall not be responsible,  except
to the extent of the reasonable  compensation of such of the Fund's Trustees and
officers as are  directors,  officers or employees of you whose  services may be
involved,  for the following expenses of the Fund:  organization expenses of the
Fund  (including  out of-pocket  expenses,  but not  including  your overhead or
employee  costs);  fees  payable  to you  and  to any  other  Fund  advisors  or
consultants;  legal expenses;  auditing and accounting expenses;  maintenance of
books and records which are required to be maintained by the Fund's custodian or
other  agents of the  Trust;  telephone,  telex,  facsimile,  postage  and other
communications  expenses;  taxes and governmental  fees; fees, dues and expenses
incurred by the Fund in connection with  membership in investment  company trade
organizations;  fees and expenses of the Fund's  accounting  agent for which the
Trust is  responsible  pursuant  to the  terms of the Fund  Accounting  Services
Agreement,  custodians,  subcustodians,  transfer  agents,  dividend  disbursing
agents and registrars;  payment for portfolio  pricing or valuation  services to
pricing agents, accountants,  bankers and other specialists, if any; expenses of
preparing  share  certificates  and, except as provided below in this section 4,
other expenses in connection with the issuance,  offering,  distribution,  sale,
redemption or repurchase of securities issued by the Fund;  expenses relating to
investor and public  relations;  expenses and fees of  registering or qualifying
Shares of the Fund for sale; interest charges, bond premiums and other insurance
expense; freight, insurance and other charges in connection with the shipment of
the Fund's portfolio securities; the compensation and all expenses (specifically
including travel expenses relating to Trust business) of Trustees,  officers and
employees  of the  Trust  who  are not  affiliated  persons  of  you;  brokerage
commissions or other costs of acquiring or disposing of any portfolio securities
of the  Fund;  expenses  of  printing  and  distributing  reports,  notices  and
dividends to  shareholders;  expenses of printing and mailing  Prospectuses  and
SAIs of the Fund and supplements  thereto;  costs of stationery;  any litigation
expenses;  indemnification  of Trustees and officers of the Trust;  and costs of
shareholders' and other meetings.

You shall not be required to pay  expenses of any  activity  which is  primarily
intended  to result in sales of Shares of the Fund if and to the extent that (i)
such expenses are required to be borne by a principal  underwriter which acts as
the distributor of the Fund's Shares pursuant to an underwriting agreement which
provides that the underwriter shall assume some or all of such expenses, or (ii)
the Trust on behalf of the Fund shall  have  adopted a plan in  conformity  with
Rule 12b-1  under the 1940 Act  providing  that the Fund (or some  other  party)
shall assume some or all of such expenses.  You shall be required to pay such of
the  foregoing  sales  expenses as are not required to be paid by the  principal
underwriter  pursuant to the  underwriting  agreement or are not permitted to be
paid by the Fund (or some other party) pursuant to such a plan.

5.  Management  Fee. For all  services to be  rendered,  payments to be made and
costs to be assumed by you as provided in sections 2, 3, and 4 hereof, the Trust
on behalf  of the Fund  shall pay you in  United  States  Dollars a base  annual
investment  management  fee,  payable  monthly,  at the rate of .65 of 1% of the
average  daily net  assets of the

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Fund. This base fee is subject to upward or downward adjustment on the basis of
the investment performance of the Class A shares of the Fund as compared with
the performance of the Standard & Poor's 500 Stock Index (the "Index"). The
Trust will pay an additional monthly fee at an annual rate of .02% of such
average daily net assets for each percentage point (fractions to be prorated) by
which the performance of the Class A shares of the Fund exceeds that of the
Index for the immediately preceding twelve months; provided that such additional
monthly fee shall not exceed 1/12 of .20% of the average daily net assets.
Conversely, the compensation payable by the Trust will be reduced by an annual
rate of .02% of such average daily net assets for each percentage point
(fractions to be prorated) by which the performance of the Class A shares of the
Fund falls below that of the Index, provided that such reduction in the monthly
fee shall not exceed 1/12 of .20% of the average net assets. The total fee on an
annual basis can range from .45% to .85% of average daily net assets. The
Trust's investment performance during any twelve month period is measured by the
percentage difference between (a) the opening net asset value of one Class A
share of the Fund and (b) the sum of the closing net asset value of one Class A
share of the Fund plus the value of any income and capital gain dividends on
such share during the period treated as if reinvested in Class A shares of the
Fund at the time of distribution. The performance of the Index is measured by
the percentage change in the Index between the beginning and the end of the
twelve month period with cash distributions on the securities which comprise the
Index being treated as reinvested in the Index at the end of each month
following the payment of the dividend. Each monthly calculation of the incentive
portion of the fee may be illustrated as follows: if over the preceding twelve
month period the Trust's adjusted net asset value applicable to one Class A
share went from $10.00 to $11.50 (15% appreciation), and the Index, after
adjustment, went from 100 to 104 (or only 4%), the entire incentive compensation
would have been earned by you. On the other hand, if the Index rose from 100 to
115 (15%), no incentive fee would have been payable. A rise in the Index from
100 to 125 (25%) would have resulted in the minimum monthly fee of 1/12 of .45%.
Since the computation is not cumulative from year to year, an additional
management fee may be payable with respect to a particular year, although the
Trust's performance over some longer period of time may be less favorable than
that of the Index. Conversely, a lower management fee may be payable in a year
in which the performance of the Fund's Class A shares is less favorable than
that of the Index, although the performance of the Fund's Class A shares over a
longer period of time might be better than that of the Index. These management
fees will be reduced by any compensation waived by you from time to time (as
more fully described below).

For the first year after  commencement of operations,  the Trust will pay to you
an annual  management  fee  computed by applying  the annual base fee  described
above to the average daily net assets of the Fund for the year subject to upward
or downward  adjustment (at the annual rate described above) on the basis of the
investment  performance  of  the  Fund's  Class  A  Shares  in  relation  to the
investment  record of the Index for such year.  During the first such year,  the
Fund will pay you on a monthly  basis 1/12 of the minimum  annual fee that would
be payable  with any  balance due for such year to be payable at the end of such
year.

The "average  daily net assets" of the Fund shall mean the average of the values
placed on the Fund's  net assets as of 4:00 p.m.  (New York time) on each day on
which  the net  asset  value  of the  Fund is  determined  consistent  with  the
provisions of Rule 22c-1 under the 1940 Act or, if the Fund lawfully  determines
the value of its net assets as of some other time on each  business  day,  as of
such time.  The value of the net assets of the Fund shall  always be  determined
pursuant to the applicable  provisions of the Declaration  and the  Registration
Statement.  If the  determination of net asset value does not take place for any
particular  day,  then for the  purposes of this section 5, the value of the net
assets of the Fund as last determined shall be deemed to be the value of its net
assets as of 4:00 p.m. (New York time), or as of such other time as the value of
the net assets of the Fund's  portfolio may be lawfully  determined on that day.
If the Fund  determines  the value of the net assets of its portfolio  more than
once on any day, then the last such  determination  thereof on that day shall be
deemed to be the sole determination thereof on that day for the purposes of this
section 5.

You may waive all or a portion  of your fees  provided  for  hereunder  and such
waiver shall be treated as a reduction in purchase price of your  services.  You
shall be  contractually  bound hereunder by the terms of any publicly  announced
waiver of your fee, or any limitation of the Fund's expenses,  as if such waiver
or limitation were fully set forth herein.


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6. Avoidance of  Inconsistent  Position;  Services Not Exclusive.  In connection
with purchases or sales of portfolio  securities and other  investments  for the
account  of the  Fund,  neither  you  nor  any of your  directors,  officers  or
employees  shall act as a principal or agent or receive any  commission.  You or
your agent shall arrange for the placing of all orders for the purchase and sale
of  portfolio  securities  and other  investments  for the Fund's  account  with
brokers or dealers selected by you in accordance with Fund policies as expressed
in the  Registration  Statement.  If any occasion should arise in which you give
any advice to clients of yours  concerning the Shares of the Fund, you shall act
solely as  investment  counsel for such  clients and not in any way on behalf of
the Fund.

Your services to the Fund pursuant to this  Agreement are not to be deemed to be
exclusive and it is understood that you may render investment advice, management
and  services  to  others.  In  acting  under  this  Agreement,  you shall be an
independent  contractor and not an agent of the Trust. Whenever the Fund and one
or more other  accounts or investment  companies  advised by you have  available
funds for  investment,  investments  suitable and  appropriate for each shall be
allocated in accordance with procedures  believed by you to be equitable to each
entity.  Similarly,  opportunities  to sell  securities  shall be allocated in a
manner  believed by you to be equitable.  The Fund recognizes that in some cases
this  procedure  may  adversely  affect  the  size of the  position  that may be
acquired or disposed of for the Fund.

7. Limitation of Liability of Manager.  As an inducement to your  undertaking to
render services pursuant to this Agreement,  the Trust agrees that you shall not
be liable  under this  Agreement  for any error of judgment or mistake of law or
for any loss suffered by the Fund in  connection  with the matters to which this
Agreement  relates,  provided that nothing in this Agreement  shall be deemed to
protect or purport to protect you against any  liability to the Trust,  the Fund
or its shareholders to which you would otherwise be subject by reason of willful
misfeasance, bad faith or gross negligence in the performance of your duties, or
by reason of your reckless disregard of your obligations and duties hereunder.

8. Duration and  Termination of This  Agreement.  This Agreement shall remain in
force  until  September  30,  1999,  and  continue  in force  from  year to year
thereafter,  but only so long as such  continuance is  specifically  approved at
least annually (a) by the vote of a majority of the Trustees who are not parties
to this Agreement or interested persons of any party to this Agreement,  cast in
person at a meeting called for the purpose of voting on such  approval,  and (b)
by the  Trustees of the Trust,  or by the vote of a majority of the  outstanding
voting  securities of the Fund. The aforesaid  requirement  that  continuance of
this Agreement be  "specifically  approved at least annually" shall be construed
in a  manner  consistent  with  the  1940  Act and  the  rules  and  regulations
thereunder and any applicable SEC exemptive order therefrom.

This Agreement may be terminated  with respect to the Fund at any time,  without
the payment of any penalty,  by the vote of a majority of the outstanding voting
securities  of the Fund or by the Trust's  Board of Trustees on 60 days' written
notice to you, or by you on 60 days' written notice to the Trust. This Agreement
shall terminate automatically in the event of its assignment.

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

9. Amendment of this  Agreement.  No provision of this Agreement may be changed,
waived,  discharged or terminated  orally,  but only by an instrument in writing
signed by the party against whom enforcement of the change, waiver, discharge or
termination  is sought,  and no amendment of this  Agreement  shall be effective
until  approved  in a  manner  consistent  with  the  1940  Act  and  rules  and
regulations thereunder and any applicable SEC exemptive order therefrom.

10.  Limitation  of  Liability  for Claims.  The  Declaration,  a copy of which,
together with all amendments  thereto, is

                                       5
<PAGE>

on file in the Office of the Secretary of the Commonwealth of Massachusetts,
provides that the name "Kemper Aggressive Growth Fund" refers to the Trustees
under the Declaration collectively as Trustees and not as individuals or
personally, and that no shareholder of the Fund, or Trustee, officer, employee
or agent of the Trust, shall be subject to claims against or obligations of the
Trust or of the Fund to any extent whatsoever, but that the Trust estate only
shall be liable.

You are hereby  expressly  put on notice of the  limitation  of liability as set
forth in the Declaration and you agree that the obligations assumed by the Trust
on behalf of the Fund pursuant to this  Agreement  shall be limited in all cases
to the Fund and its  assets,  and you  shall not seek  satisfaction  of any such
obligation  from the  shareholders  or any  shareholder of the Fund or any other
series of the Trust,  or from any  Trustee,  officer,  employee  or agent of the
Trust.  You understand  that the rights and obligations of each Fund, or series,
under the  Declaration are separate and distinct from those of any and all other
series.

11.  Miscellaneous.  The captions in this Agreement are included for convenience
of reference only and in no way define or limit any of the provisions  hereof or
otherwise  affect their  construction or effect.  This Agreement may be executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

In interpreting the provisions of this Agreement,  the definitions  contained in
Section  2(a) of the 1940  Act  (particularly  the  definitions  of  "affiliated
person,"  "assignment" and "majority of the outstanding voting securities"),  as
from  time  to  time  amended,  shall  be  applied,  subject,  however,  to such
exemptions as may be granted by the SEC by any rule, regulation or order.

This  Agreement   shall  be  construed  in  accordance  with  the  laws  of  the
Commonwealth of  Massachusetts,  provided that nothing herein shall be construed
in a manner inconsistent with the 1940 Act, or in a manner which would cause the
Fund to fail to comply with the requirements of Subchapter M of the Code.

This  Agreement  shall  supersede  all prior  investment  advisory or management
agreements entered into between you and the Trust on behalf of the Fund.


If you  are in  agreement  with  the  foregoing,  please  execute  the  form  of
acceptance  on the  accompanying  counterpart  of this  letter and  return  such
counterpart to the Trust,  whereupon this letter shall become a binding contract
effective as of the date of this Agreement.

                                             Yours very truly,

                                             KEMPER AGGRESSIVE GROWTH FUND,
                                             on behalf of Kemper Aggressive
                                             Growth Fund

                                             By:___________________________
                                             President


The foregoing Agreement is hereby accepted as of the date hereof.


                                             SCUDDER KEMPER INVESTMENTS, INC.


                                             By:_____________________________
                                             Treasurer

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