KEMPER HIGH INCOME TRUST
NSAR-A, 1998-07-30
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<PAGE>      PAGE  1
000 A000000 05/31/98
000 C000000 0000830160
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000 J000000 A
001 A000000 KEMPER HIGH INCOME TRUST
001 B000000 811-5482
001 C000000 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 5808
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008 A000001 SCUDDER KEMPER INVESTMENTS, INC.
008 B000001 A
008 C000001 801-44899
008 D010001 NEW YORK
008 D020001 NY
008 D030001 10154
008 D040001 0100
012 A000001  KEMPER SERVICE COMPANY
012 B000001 84-1713
012 C010001 KANSAS CITY
012 C020001 MO
012 C030001 64105
013 A000001 ERNST & YOUNG LLP
013 B010001 CHICAGO
013 B020001 IL
013 B030001 60606
014 A000001 SCUDDER INVESTOR SERVICES, INC.
014 B000001 8-298
<PAGE>      PAGE  2
014 A000002 KEMPER DISTRIBUTORS, INC.
014 B000002 8-47765
014 A000003 GRUNTAL & CO., INC.
014 B000003 8-31022
014 A000004 THE GMS GROUP, L.L.C. (A GRUNTAL AFFILIATE)
014 B000004 8-23936
014 A000005 ZURICH CAPITAL MARKETS
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014 A000006 BANK HANDLOWY
014 B000006 8-24613
015 A000001 INVESTORS FIDUCIARY TRUST COMPANY
015 B000001 C
015 C010001 KANSAS CITY
015 C020001 MO
015 C030001 64105
015 E010001 X
015 A000002 STATE STREET BANK AND TRUST COMPANY
015 B000002 S
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015 C020002 MA
015 C030002 02110
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015 C020003 NY
015 C030003 11245
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022 C000001     19424
022 D000001     15034
022 A000002 LEHMAN BROTHERS INC.
022 B000002 13-2518466
022 C000002     20968
022 D000002      7601
022 A000003 MERRILL LYNCH, PIERCE, FENNER & SMITH, INC.
<PAGE>      PAGE  3
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SIGNATURE   PHILIP J. COLLORA                            
TITLE       SECRETARY           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE
1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY
REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000830160
<NAME> KEMPER HIGH INCOME TRUST
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          NOV-30-1998
<PERIOD-START>                             DEC-01-1997
<PERIOD-END>                               MAY-31-1998
<INVESTMENTS-AT-COST>                          232,001
<INVESTMENTS-AT-VALUE>                         241,349
<RECEIVABLES>                                    6,399
<ASSETS-OTHER>                                   1,609
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 249,357
<PAYABLE-FOR-SECURITIES>                         2,250
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                       20,321
<TOTAL-LIABILITIES>                             22,571
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       253,890
<SHARES-COMMON-STOCK>                           23,752
<SHARES-COMMON-PRIOR>                           23,613
<ACCUMULATED-NII-CURRENT>                        3,583
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                       (40,035)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,348
<NET-ASSETS>                                   226,786
<DIVIDEND-INCOME>                                  142
<INTEREST-INCOME>                               12,667
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,739)
<NET-INVESTMENT-INCOME>                         11,070
<REALIZED-GAINS-CURRENT>                         3,071
<APPREC-INCREASE-CURRENT>                        (977)
<NET-CHANGE-FROM-OPS>                           13,164
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                     (10,709)
<DISTRIBUTIONS-OF-GAINS>                             0
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<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                139
<NET-CHANGE-IN-ASSETS>                           3,867
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<ACCUMULATED-GAINS-PRIOR>                     (43,106)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              963
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<GROSS-EXPENSE>                                  1,739
<AVERAGE-NET-ASSETS>                           226,242
<PER-SHARE-NAV-BEGIN>                             9.44
<PER-SHARE-NII>                                    .46
<PER-SHARE-GAIN-APPREC>                            .10
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.45)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.55
<EXPENSE-RATIO>                                   1.52
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</TABLE>







          Exhibit 77C
          Kemper High Income Trust
          Form N-SAR for the period ended 05/31/98
          File No. 811-5482


          A special meeting of Registrant's shareholders was held on
          December 3, 1997.  Votes regarding the items submitted to
          shareholder vote are set forth below.

          Item 1:  Election of Members to the Board

                   Daniel Pierce
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR               18,217,862
                       WITHHELD             353,412

                   Edmond D. Villani

                       Vote             Number     
                       ----             -----------
                       FOR               18,232,384
                       WITHHELD             338,890

           
          Item 2:  Selection of Independent Auditors

                       Vote             Number     
                       ----             -----------
                       FOR               18,341,000
                       AGAINST               89,497
                       ABSTAIN              140,778


          Item 3:  New Investment Management Agreement

                       Vote             Number     
                       ----             -----------
                       FOR               16,663,224
                       AGAINST            1,908,051
                

























          Exhibit 77Q1(e)
          Kemper High Income Trust
          Form N-SAR for the period ended 05/31/98 
          File No. 811-5482

                           INVESTMENT MANAGEMENT AGREEMENT

                               Kemper High Income Trust
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                         December 31, 1997

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

                           Investment Management Agreement

          Ladies and Gentlemen:

          KEMPER HIGH INCOME TRUST (the "Fund") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company.  The Fund has issued shares of beneficial
          interest (the "Shares").

          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
          Fund agrees with you as follows:

          1.   Delivery of Documents.  The Fund engages in the business of
          investing and reinvesting its assets in the manner and in
          accordance with its investment objectives, policies and
          restrictions.  The Fund has furnished you with copies properly
          certified or authenticated of each of the following documents
          related to the Fund:

               (a)  The Declaration of Trust ("Declaration"), as amended to
          date.  

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

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

          The Fund will furnish you from time to time with copies, properly
          certified or authenticated, of all amendments of or supplements,
          if any, to the foregoing.













          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 its investment
          objectives, policies and restrictions; the applicable provisions
          of the Investment Company Act of 1940 (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 Fund'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 Fund.  You shall
          also make available to the Fund promptly upon request all of the
          Fund's investment records and ledgers as are necessary to assist
          the Fund 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 Fund 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.  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 Fund'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
          Fund'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

                                          2












          designated by you) shall render to the Fund administrative
          services on behalf of the Fund necessary for operating as a
          closed-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 Fund'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 Fund's Registration
          Statement, and semi-annual reports on Form N-SAR; overseeing the
          tabulation of proxies by the Fund's transfer agent; assisting in
          the preparation and filing of the Fund's federal, state and local
          tax returns; preparing and filing the Fund s federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund s custodian or other
          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Fund as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Fund'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.



                                          3












          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 Fund (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 Fund, 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 Fund;
          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 Fund 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 Fund
          business) of Trustees, officers and employees of the Fund 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 statements of additional information of the Fund
          and supplements thereto; costs of stationery; any litigation

                                          4












          expenses; indemnification of Trustees and officers of the Fund;
          and costs of shareholders' and other meetings.

          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 Fund shall pay you in United States
          Dollars on the last day of each month the unpaid balance of a fee
          equal to the excess of (a) 1/12 of .85 of 1 percent of the
          average weekly net assets of the Fund for such month; over
          (b) any compensation waived by you from time to time (as more
          fully described below).  You shall be entitled to receive during
          any month such interim payments of your fee hereunder as you
          shall request, provided that no such payment shall exceed 75
          percent of the amount of your fee then accrued on the books of
          the Fund and unpaid.

          The net asset value of the Fund shall be calculated at such time
          or times as the Trustees may determine in accordance with the
          provisions of the 1940 Act.  On each day when net asset value is
          not calculated, the net asset value shall be deemed to be the net
          asset value as of the close of business on the last day on which
          such calculation was made for the purpose of the foregoing
          computations.

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

          6.   Avoidance of Inconsistent Position; Services Not Exclusive. 
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission.  You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies.  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 Fund.  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

                                          5












          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 Fund 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 Fund or its shareholders to which you would
          otherwise be subject by reason of willful misfeasance, bad faith
          or gross negligence in the performance of your duties, or by
          reason of your reckless disregard of your obligations and duties
          hereunder.

          8.   Duration and Termination of This Agreement.  This Agreement
          shall remain in force until April 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Fund, 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 Fund's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Fund.  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

                                          6












          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims. The Declaration, a copy
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Kemper High Income Trust" 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 Fund, shall
          be subject to claims against or obligations of the Fund to any
          extent whatsoever, but that the Fund 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 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 from any Trustee,
          officer, employee or agent of the Fund.

          10.  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 Fund.






                                          7












          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 Fund, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.


                                        Yours very truly,

                                        KEMPER HIGH INCOME TRUST


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



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



                                        SCUDDER KEMPER INVESTMENTS, INC.


                                        By:  /s/ Lynn S. Birdsong
                                           -----------------------------
                                           Vice President

























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