SELIGMAN HIGH INCOME FUND SERIES
PRES14A, 1995-10-06
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<PAGE>
                           SCHEDULE 14A INFORMATION 

             Proxy Statement Pursuant to Section 14(a) of the Securities
                       Exchange Act of 1934 (Amendment No.    )

          Filed by the Registrant [X]
          Filed by a Party other than the Registrant [ ]


          Check the appropriate box:

          [X]  Preliminary Proxy Statement
          [ ]  Confidential, for Use of the Commission Only (as permitted by
               Rule 14a-6(e)(2))
          [ ]  Definitive Proxy Statement
          [ ]  Definitive Additional Materials
          [ ]  Soliciting Material Pursuant to Section 240.14a-11(c) or
               Section 240.14a-12

                         SELIGMAN HIGH INCOME FUND SERIES
          .................................................................
                   (Name of Registrant as Specified In Its Charter)

          .................................................................
       (Name of Person(s) Filing Proxy Statement, if other than the Registrant)


          Payment of Filing Fee (Check the appropriate box):

          [X]  $125 per Exchange Act Rules 0-11(c)(1)(ii), 14a-6(i)(1),
               14a-6(i)(2) or Item 22(a)(2) of Schedule 14A.
          [ ]  $500 per each party to the controversy pursuant to Exchange
               Act Rule 14a-6(i)(3).
          [ ]  Fee computed on table below per Exchange Act Rules 
               14a-6(i)(4) and 0-11.

               1)  Title of each class of securities to which transaction
          applies:
                    
          .................................................................

               2)  Aggregate number of securities to which transaction
          applies:
                    
          .................................................................

               3)  Per unit price or other underlying value of transaction
          computed   pursuant to Exchange Act Rule 0-11 (Set forth the
          amount on which the filing fee is calculated and state how it was
          determined):
                     
          .................................................................

               4)  Proposed maximum aggregate value of transaction:
                    
          .................................................................

               5)  Total fee paid:
                  
          .................................................................

          [ ]  Fee paid previously with preliminary materials.
          [ ]  Check box if any part of the fee is offset as provided by
               Exchange Act Rule 0-11(a)(2) and identify the filing for
               which the offsetting fee was paid previously.  Identify the
               previous filing by registration statement number, or the
               Form or Schedule and the date of its filing.

               1)   Amount Previously Paid:
                     
          .................................................................

               2)   Form, Schedule or Registration Statement No.:

          .................................................................

               3)   Filing Party:

          .................................................................

               4)   Date Filed:

          .................................................................
                              

<PAGE>
                        SELIGMAN HIGH INCOME FUND SERIES
                   100 Park Avenue, New York, New York 10017
      Toll-Free Telephone: (800) 221-2450 -- All continental United States
  For questions or comments about the Proposals contained herein, please call
       Morrow & Co., Inc., the Fund's proxy solicitor, at (800) 566-9058.
                   NOTICE OF SPECIAL MEETING OF SHAREHOLDERS
                        TO BE HELD ON DECEMBER 12, 1995
 
To the Shareholders:
 
     A  Special Meeting of Shareholders (the  'Meeting') of Seligman High Income
Fund Series, a Massachusetts  business trust (the 'Fund'),  will be held at  the
Grand  Hyatt Hotel,  42nd Street  and Lexington  Avenue, New  York, New  York on
December 12, 1995 at 9:00 A.M. The Fund is comprised of two series, the Seligman
High-Yield  Bond  Series  ('High-Yield  Bond  Series')  and  the  Seligman  U.S.
Government  Securities Series ('U.S. Government Securities Series'). The Meeting
is being held for the following purposes:
 
          (1) To elect thirteen Trustees;
 
          (2) To act on a proposal to ratify the selection of Deloitte &  Touche
              LLP as auditors of the Fund for 1995;
 
          (3) To  act on a  proposal to amend  the Fund's fundamental investment
              policy with respect to borrowing  to increase the amount that  may
              be  borrowed by  each Series  to 15% of  the market  value of each
              Series' total assets;
 
          (4) To  act  on  a  proposal  to  eliminate  the  Fund's   fundamental
              investment  policy regarding investment in restricted and illiquid
              securities;
 
          (5) With  respect  to  the  High-Yield  Bond  Series,  to  approve  or
              disapprove  amendments to the Management Agreement, dated December
              29, 1988 between the Fund and J. & W. Seligman & Co.  Incorporated
              to  increase  the management  fee payable  by the  High-Yield Bond
              Series; and
 
          (6) To transact such other  business as may  lawfully come before  the
              Meeting or any adjournment thereof;
 
all as set forth in the Proxy Statement accompanying this Notice.
 
     The close of business on October 10, 1995 has been fixed as the record date
for the determination of shareholders entitled to notice of, and to vote at, the
Meeting or any adjournment thereof.
                                                       By order of the Trustees,



                                                                       Secretary
 
Dated: New York, New York, October   , 1995
                               ------------------
 
                             YOUR VOTE IS IMPORTANT
                       NO MATTER HOW MANY SHARES YOU OWN
 
PLEASE  INDICATE YOUR VOTING  INSTRUCTIONS ON THE ENCLOSED  PROXY CARD, DATE AND
SIGN IT, AND RETURN IT IN THE ENVELOPE
    PROVIDED, WHICH IS ADDRESSED FOR  YOUR CONVENIENCE AND NEEDS NO  POSTAGE
    IF MAILED IN THE UNITED STATES. IN ORDER
       TO  AVOID THE ADDITIONAL  EXPENSE OF FURTHER  SOLICITATION, WE ASK
       YOUR COOPERATION IN MAILING YOUR PROXY
         PROMPTLY. A PROXY WILL  NOT BE REQUIRED  FOR ADMISSION TO  THE
                                    MEETING.
<PAGE>
                                                                October   , 1995
 
                        SELIGMAN HIGH INCOME FUND SERIES
                   100 PARK AVENUE, NEW YORK, NEW YORK 10017
                                PROXY STATEMENT
                                    FOR THE
        SPECIAL MEETING OF SHAREHOLDERS TO BE HELD ON DECEMBER 12, 1995
 
     This   Proxy  Statement  is  furnished  to   you  in  connection  with  the
solicitation of Proxies by the Trustees of Seligman High Income Fund Series (the
'Fund') to be used at the Special Meeting of Shareholders (the 'Meeting') to  be
held  at the Grand Hyatt Hotel, 42nd  Street and Lexington Avenue, New York, New
York on December 12, 1995.
 
     The Fund is comprised  of two series, the  Seligman High-Yield Bond  Series
('High-Yield  Bond Series') and  the Seligman U.S.  Government Securities Series
('U.S. Government Securities  Series'). The  table below  outlines the  specific
proposals that will be submitted to the shareholders of each Series. Proposals 1
and  2 will be voted upon by both Series collectively. Proposals 3, 4 and 5 will
be voted upon by the Series individually.
 
<TABLE>
<CAPTION>
                                                               HIGH-YIELD
                                                                  BOND             U.S. GOVERNMENT
                          PROPOSAL                               SERIES           SECURITIES SERIES
<S>                                                            <C>           <C>
(1) Election of thirteen Trustees                                  X                      X
(2) Ratification of the Selection of Deloitte & Touche LLP         X                      X
    as auditors of the Fund for 1995
(3) Approval of proposal to increase the Fund's limitation         X                      X
    on borrowing to 15% of each Series' total assets
(4) Approval of proposal to eliminate the Fund's restriction       X                      X
    on investment in restricted and illiquid securities
(5) Approval of amendments to the Management Agreement             X         Not Applicable (the
    between the Fund and the Manager to increase the                         shareholders of the U.S.
    management fee payable by the High-Yield Bond Series                     Government Securities
                                                                             Series will not be asked to
                                                                             vote on this proposal)
</TABLE>
 
                                       2
 
<PAGE>
     If the accompanying form of Proxy is executed properly and returned, shares
represented by it will be voted at  the Meeting. If you give instructions,  your
shares  will  be voted  in accordance  with  your instructions.  If you  give no
instructions and return your signed Proxy, your shares will be voted (i) for the
election of thirteen  Trustees, (ii) for  the ratification of  the selection  of
auditors,  (iii) for the  amendment of the  Fund's fundamental investment policy
with respect to borrowing to  increase the amount that  may be borrowed by  each
Series  to 15% of  the market value of  each Series' total  assets, (iv) for the
elimination of the Fund's fundamental investment policy regarding investment  in
restricted  or illiquid securities, and (v)  with respect to the High-Yield Bond
Series only, for the approval of amendments to the Management Agreement  between
the Fund and J. & W. Seligman & Co. Incorporated (the 'Manager') to increase the
management  fee payable by the High-Yield Bond Series, and, at the discretion of
the Proxy holders, on any  other matter that may  properly have come before  the
Meeting  or any adjournment thereof.  You may revoke your  Proxy or change it by
written notice  to the  Fund (Attention:  the  Secretary) or  by notice  at  the
Meeting at any time prior to the time it is voted.
 
     The close of business on October 10, 1995 has been fixed as the record date
for the determination of shareholders entitled to notice of, and to vote at, the
Meeting or any adjournment thereof. On that date, the Fund had outstanding
Class  A shares and      Class D shares of the High-Yield Bond Series, and
Class A shares and      Class D shares of the U.S. Government Securities Series,
each share being  entitled to one  vote. For all  matters on which  a vote of  a
majority  of shares outstanding and entitled  to vote is required, an abstention
or broker non-vote will have the same effect as a vote against the proposal. For
all matters on which the affirmative vote of  a majority of the votes cast at  a
meeting  is required and for  the election of Trustees,  an abstention or broker
non-vote will not be considered a vote cast.
 
     The Fund's investment adviser is J.  & W. Seligman & Co. Incorporated.  The
Fund's  shareholder  service  agent  is  Seligman  Data  Corp.  and  the  Fund's
distributor (principal  underwriter) is  Seligman Financial  Services, Inc.  The
address  of each of these entities is 100 Park Avenue, New York, New York 10017.
The Fund will furnish, without charge,  copies of its most recent annual  report
and semi-annual report to any shareholder upon request to Seligman Data Corp. at
1-800-221-2450. Questions or comments relating to any of the proposals set forth
herein  may be directed  to Morrow &  Co., Inc., the  Fund's proxy solicitor, at
1-800-566-9058.
 
     It is expected that the Notice of Special Meeting, Proxy Statement and form
of Proxy will first be mailed to shareholders on or about October   , 1995.
 
                                       3
 
<PAGE>
                            A. ELECTION OF TRUSTEES.
                                  (Proposal 1)
 
     At the Meeting, thirteen  Trustees will be nominated  for election to  hold
office until the next meeting at which Trustee elections are held or until their
successors are elected and qualify.
 
     It  is the intention of the persons named in the accompanying form of Proxy
to vote for  the election of  Fred E. Brown,  General John R.  Galvin, Alice  S.
Ilchman,  Frank A. McPherson, John E. Merow, Betsy S. Michel, William C. Morris,
James C. Pitney, James Q. Riordan, Ronald T. Schroeder, Robert L. Shafer,  James
N.  Whitson and Brian T.  Zino, all of whom are  presently Trustees. Each of the
foregoing individuals  has consented  to  be a  nominee.  Each of  the  nominees
previously  has been elected by the  shareholders, with the exception of Messrs.
Whitson and Zino, who were elected by the Trustees on May 20, 1993 and March 18,
1993, respectively,  and General  Galvin and  Mr. McPherson  each of  whom  were
elected by the Trustees on May 18, 1995.
 
     Each  nominee has agreed to serve if elected. There is no reason to believe
that any of the nominees  will become unavailable for  election as a Trustee  of
the Fund, but if that should occur before the Meeting, Proxies will be voted for
the persons the Trustees recommend.
 
     The  background of General  Galvin and Messrs.  McPherson, Whitson and Zino
and information regarding the other Trustees of the Fund appears below.
 
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
<S>                       <C>                                                        <C>
- ------------------------  --------------------------------------------------------   -------------------
     Fred E. Brown*       DIRECTOR OR TRUSTEE, VARIOUS ORGANIZATIONS, NEW YORK, NY.        1,000-HY
      1984 to Date        Mr. Brown  is  a  Director  or Trustee  of  each  of  the
          (82)            Seligman  Group investment companies;`D' Director of, and
                          Consultant to,  J.  &  W. Seligman  &  Co.  Incorporated;
        [Photo]           Director   of  Seligman  Financial   Services,  Inc.  and
                          Seligman Services, Inc.; Trustee of Lake Placid Education
                          Foundation, Lake Placid Center  for the Arts and  Trudeau
                          Institute,  Inc.; formerly, Director of  J. & W. Seligman
                          Trust Company and Seligman Securities, Inc.
</TABLE>
 
                                       4
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
     John R. Galvin       DEAN OF THE FLETCHER SCHOOL OF LAW AND DIPLOMACY AT TUFTS         - 0 -
      May 18, 1995        UNIVERSITY, MEDFORD, MA.  General Galvin  is Director  or
        to Date           Trustee   of  each  of   the  Seligman  Group  investment
          (66)            companies;`D'  Chairman  of   the  American  Council   on
                          Germany;   a   Governor  of   the  Center   for  Creative
        [Photo]           Leadership; Director of USLIFE, Committee on U.S. - China
                          Relations, National Defense University and the  Institute
                          for  Defense  Analysis;  and Consultant  of  Thomson CSF.
                          Formerly, Ambassador, U.S. State Department;
                          Distinguished Policy Analyst at Ohio State University and
                          Olin Distinguished Professor  of National Security  Stud-
                          ies  at the  United States  Military Academy.  From June,
                          1987 to June, 1992, he was the Supreme Allied  Commander,
                          Europe and the Commander-in-Chief, United States European
                          Command.
 
    Alice S. Ilchman      PRESIDENT,  SARAH LAWRENCE  COLLEGE, BRONXVILLE,  NY. Dr.         218-HY
      1991 to Date        Ilchman is a Director or Trustee of each of the  Seligman
          (60)            Group    investment   companies;`D'   Chairman   of   The
                          Rockefeller Foundation; Director of NYNEX (formerly,  New
        [Photo]           York  Telephone Company)  and The  Committee for Economic
                          Development; formerly, Trustee  of The Markle  Foundation
                          and Director of International Research & Exchange Board.
</TABLE>
 
                                       5
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
   Frank A. McPherson     CHAIRMAN  OF  THE  BOARD  AND  CHIEF  EXECUTIVE  OFFICER,         - 0 -
      May 18, 1995        KERR-MCGEE CORPORATION, OKLAHOMA CITY, OK. Mr.  McPherson
        to Date           is  a Director or  Trustee of each  of the Seligman Group
          (62)            investment  companies;`D'   Director  of   Kimberly-Clark
                          Corporation,  Bank of Oklahoma  Holding Company, American
        [Photo]           Petroleum Institute, Oklahoma  City Chamber of  Commerce,
                          Baptist  Medical Center,  Oklahoma Chapter  of the Nature
                          Conservancy, Oklahoma  Medical  Research  Foundation  and
                          United  Way  Advisory  Board; Chairman  of  Oklahoma City
                          Public Schools Foundation; and  a Member of The  Business
                          Roundtable and National Petroleum Council.
 
     John E. Merow*       PARTNER, SULLIVAN & CROMWELL, LAW FIRM, NEW YORK, NY. Mr.        9,826-HY
      1984 to Date        Merow  is a Director  or Trustee of  each of the Seligman
          (65)            Group investment companies,`D'  Municipal Art Society  of
                          New York, Commonwealth Aluminum Corporation, U.S. Council
        [Photo]           for   International  Business  and  U.S.  -  New  Zealand
                          Council; Member  of the  American Law  Institute and  the
                          Council  on Foreign  Relations; Chairman  of the American
                          Australian  Association;  and  Member  of  the  Board  of
                          Governors  of  Foreign  Policy Association  and  New York
                          Hospital.
</TABLE>
 
                                       6
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
 
    Betsy S. Michel       ATTORNEY, GLADSTONE,  NJ. Mrs.  Michel is  a Director  or         726-HY
      1984 to Date        Trustee   of  each  of   the  Seligman  Group  investment
          (53)            companies`D' and The National Association of  Independent
                          Schools  (Washington, DC);  and Chairman of  the Board of
        [Photo]           Trustees of St. George's School (Newport, RI).
 
   William C. Morris*     CHAIRMAN  AND  PRESIDENT  OF  J.  &  W.  SELIGMAN  &  CO.       143,676-HY
      1988 to Date        INCORPORATED,  NEW YORK,  NY. Mr. Morris  is Chairman and         1,000-USG
          (57)            Chief Executive  Officer of  each of  the Seligman  Group
                          investment  companies;`D' Chairman  of Seligman Financial
        [Photo]           Services,  Inc.,  Seligman   Services,  Inc.  and   Carbo
                          Ceramics  Inc.; Member of  the Board of  Governors of the
                          Investment Company  Institute;  and  Director  of  Daniel
                          Industries,  Inc.,  Kerr-McGee  Corporation  and Seligman
                          Data Corp.;  formerly, Chairman  of Seligman  Securities,
                          Inc. and J. & W. Seligman Trust Company.
</TABLE>
 
                                       7
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
 
    James C. Pitney       PARTNER,   PITNEY,  HARDIN,  KIPP   &  SZUCH,  LAW  FIRM,        1,000-HY
      1984 to Date        MORRISTOWN, NJ. Mr.  Pitney is a  Director or Trustee  of
          (69)            each  of the  Seligman Group  investment companies`D' and
                          Public Service Enterprise Group.
        [Photo]
 
    James Q. Riordan      DIRECTOR, VARIOUS CORPORATIONS,  STUART, FL. Mr.  Riordan        1,016-HY
      1991 to Date        is  a Director or  Trustee of each  of the Seligman Group
          (68)            investment  companies,`D'   The  Brooklyn   Museum,   The
                          Brooklyn  Union Gas  Company, The  Committee for Economic
        [Photo]           Development, Dow Jones & Co., Inc. and Public  Broadcast-
                          ing  Service; formerly, Co-Chairman of the Policy Council
                          of The Tax Foundation; Director and President of  Bekaert
                          Corporation;  and Director of Tesoro Petroleum Companies,
                          Inc.
</TABLE>
 
                                       8
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
  Ronald T. Schroeder*    DIRECTOR, MANAGING DIRECTOR AND CHIEF INVESTMENT OFFICER,         100-HY
      1984 to Date        INSTITUTIONAL OF J. & W. SELIGMAN & CO. INCORPORATED, NEW        100-USG
          (47)            YORK, NY. Mr. Schroeder is a Director or Trustee of  each
                          of   the  Seligman  Group   investment  companies`D'  and
        [Photo]           Director of Seligman  Financial Services, Inc.,  Seligman
                          Services,  Inc.  and  Seligman  Henderson  Co.; formerly,
                          President  of  each  of  the  Seligman  Group  investment
                          companies   with  the   exception  of   Seligman  Quality
                          Municipal Fund, Inc. and Seligman Select Municipal  Fund,
                          Inc.  and  Director of  J. &  W. Seligman  Trust Company,
                          Seligman Data Corp. and Seligman Securities, Inc.
 
    Robert L. Shafer      VICE PRESIDENT, PFIZER, INC., NEW YORK, NY. Mr. Shafer is        1,000-HY
      1984 to Date        a Director  or  Trustee of  each  of the  Seligman  Group
          (63)            investment companies`D' and USLIFE Corporation.
        [Photo]
</TABLE>
 
                                       9
 
<PAGE>
<TABLE>
<CAPTION>
                                                                                     SHARES OF BENEFICIAL
                                 PRINCIPAL OCCUPATION AND OTHER INFORMATION                INTEREST
                                 THE PERSONS DESIGNATED BY ASTERISK (*) ARE              BENEFICIALLY
 NAME, PERIOD(S) SERVED           'INTERESTED PERSONS' OF THE FUND (AS THAT           OWNED, DIRECTLY OR
           AS                 TERM IS DEFINED IN THE INVESTMENT COMPANY ACT OF        INDIRECTLY, AS OF
   TRUSTEE AND (AGE)       1940, AS AMENDED) BECAUSE OF THEIR STATED ASSOCIATIONS.    SEPTEMBER 26, 1995
- ------------------------  --------------------------------------------------------   -------------------
<S>                       <C>                                                        <C>
 
    James N. Whitson      EXECUTIVE  VICE  PRESIDENT, CHIEF  OPERATING  OFFICER AND        2,000-HY
      1993 to Date        DIRECTOR, SAMMONS  ENTERPRISES,  INC.,  DALLAS,  TX.  Mr.
          (60)            Whitson  is a Director or Trustee of each of the Seligman
                          Group investment companies,`D'  Red Man  Pipe and  Supply
        [Photo]           Company and C-SPAN.
 
     Brian T. Zino*       DIRECTOR  AND MANAGING DIRECTOR,  J. & W.  SELIGMAN & CO.        3,991-HY
      1993 to Date        INCORPORATED, NEW YORK,  NY. Mr.  Zino is  a Director  or
          (43)            Trustee  and  President  of each  of  the  Seligman Group
                          investment  companies  with  the  exception  of  Seligman
        [Photo]           Quality   Municipal  Fund,   Inc.  and   Seligman  Select
                          Municipal Fund, Inc.;`D' Chairman of Seligman Data Corp.;
                          Director  of  Seligman  Quality  Municipal  Fund,   Inc.,
                          Seligman  Select Municipal Fund, Inc., Seligman Financial
                          Services, Inc. and  Seligman Services,  Inc.; and  Senior
                          Vice  President  of  Seligman  Henderson  Co.;  formerly,
                          Director and  Secretary of  Chuo Trust  -- JWS  Advisors,
                          Inc.  and Director of J. &  W. Seligman Trust Company and
                          Seligman Securities, Inc.
</TABLE>
 
`D' The Seligman Group of  investment companies consists  of the Fund,  Seligman
    Capital  Fund, Inc.,  Seligman Cash  Management Fund,  Inc., Seligman Common
    Stock Fund,  Inc.,  Seligman  Communications  and  Information  Fund,  Inc.,
    Seligman Frontier Fund, Inc., Seligman Growth Fund, Inc., Seligman Henderson
    Global  Fund Series, Inc.,  Seligman Income Fund,  Inc., Seligman New Jersey
    Tax-Exempt  Fund,  Inc.,  Seligman  Pennsylvania  Tax-Exempt  Fund   Series,
    Seligman  Portfolios, Inc., Seligman Quality  Municipal Fund, Inc., Seligman
    Select Municipal Fund, Inc., Seligman Tax-Exempt Fund Series, Inc., Seligman
    Tax-Exempt Series Trust and Tri-Continental Corporation.
 
                                       10
 
<PAGE>
     Unless otherwise indicated below, Trustees have sole voting and  investment
power  with respect to shares shown. As  of September 26, 1995, all Trustees and
officers of the Fund as a group owned beneficially 198,659 shares or .73% of the
High-Yield Bond Series' shares of beneficial interest and 12,048 shares or  .14%
of the U.S. Government Securities Series' shares of beneficial interest.
 
     Mr. Morris disclaims beneficial ownership of 4,673 shares of the High-Yield
Bond Series held in trust for his son.
 
     As  of September 30, 1995, 1,968,658 Class  D shares of the High-Yield Bond
Series, or 7.14% of  the High-Yield Bond Series'  shares of beneficial  interest
then  outstanding, were registered in the name  of Merrill Lynch Pierce Fenner &
Smith, P.O. Box 45286, Jacksonville, FL 32232-5286. No persons owned 5% or  more
of  the  U.S.  Government  Securities  Series'  shares  of  beneficial  interest
outstanding as of September 30, 1995.
 
     The Trustees met  six times  during 1994.  The standing  committees of  the
Board  include the Audit  Committee and the  Trustee Nominating Committee. These
Committees are comprised solely of Trustees who are not 'interested persons'  of
the  Fund as  that term  is defined in  the Investment  Company Act  of 1940, as
amended (the '1940 Act'). The duties of these Committees are described below.
 
     Audit  Committee.  This   Committee  recommends   the  independent   public
accountants  for selection as auditors by the Trustees annually. In addition, it
reviews, with the  auditors and  such other persons  as it  determines, (a)  the
scope  of audit, (b) accounting and financial internal controls, (c) quality and
adequacy of the accounting staff and (d) reports of the auditors. The  Committee
comments  to the Trustees when  warranted and at least  annually. It is directly
available to the auditors  and officers of the  Fund for consultation on  audit,
accounting  and  related financial  matters. The  Committee  met twice  in 1994.
Members of this Committee are Messrs. Whitson (Chairman) and McPherson,  General
Galvin and Mrs. Michel.
 
     Trustee  Nominating Committee.  This Committee  recommends to  the Trustees
persons to  be  nominated  for  election  as  Trustees  by  you  and  the  other
shareholders  and selects  and proposes  nominees for  election by  the Trustees
between shareholder  meetings.  The  Committee will  consider  suggestions  from
shareholders  submitted in writing  to the Secretary of  the Fund. The Committee
met twice in  1994. Members  of this  Committee are  Messrs. Pitney  (Chairman),
Riordan and Shafer and Dr. Ilchman.
 
                                       11
 
<PAGE>
EXECUTIVE OFFICERS OF THE FUND
 
     Information  with respect to executive  officers, other than Messrs. Morris
and Zino, is as follows:
 
<TABLE>
<CAPTION>
                                                                 POSITION WITH FUND AND
           NAME                 AGE                   PRINCIPAL OCCUPATION DURING PAST FIVE YEARS
<S>                          <C>        <C>
- ----------------------------------------------------------------------------------------------------------------
Daniel J. Charleston            35      VICE PRESIDENT OF THE FUND AND PORTFOLIO MANAGER OF THE HIGH-YIELD  BOND
                                        SERIES  since January  1990. Mr.  Charleston is  also Vice  President of
                                        Seligman  Portfolios,  Inc.  and  Portfolio  Manager  of  its   Seligman
                                        High-Yield Bond Portfolio; and Vice President of the Manager.
Leonard J. Lovito               35      VICE  PRESIDENT OF THE FUND AND PORTFOLIO MANAGER OF THE U.S. GOVERNMENT
                                        SECURITIES SERIES since January 1994. Mr. Lovito is also Vice  President
                                        and  Portfolio  Manager of  Seligman  Cash Management  Fund,  Inc.; Vice
                                        President of  Seligman Portfolios,  Inc. and  Portfolio Manager  of  its
                                        Seligman  Cash Management Portfolio and Seligman Fixed Income Securities
                                        Portfolio; and Vice President of the Manager.
Lawrence P. Vogel               39      VICE PRESIDENT (FORMERLY, TREASURER) OF THE FUND since January 1992. Mr.
                                        Vogel is  also Vice  President of  the other  Seligman Group  investment
                                        companies;  Senior  Vice  President, Finance  of  the  Manager, Seligman
                                        Financial Services, Inc. and Seligman Data Corp. (formerly,  Treasurer);
                                        Vice  President  of  Seligman  Services,  Inc.  and  Treasurer, Seligman
                                        Henderson Co.; formerly, an Audit  Senior Manager, Price Waterhouse  and
                                        Senior  Vice President, Finance of Seligman Securities, Inc. and J. & W.
                                        Seligman Trust Company.
Frank J. Nasta                  31      SECRETARY OF THE FUND since March  1994. Mr. Nasta is also Secretary  of
                                        the  Manager, the  other Seligman  Group investment  companies, Seligman
                                        Data Corp., Seligman Financial  Services, Inc., Seligman Services,  Inc.
                                        and  Seligman Henderson Co.;  and Vice President,  Law and Regulation of
                                        the Manager; formerly, Secretary,  J. & W.  Seligman Trust Company,  and
                                        attorney at the law firm of Seward & Kissel.
Thomas G. Rose                  37      TREASURER OF THE FUND since November 1992. Mr. Rose is also Treasurer of
                                        the  other Seligman Group investment  companies and Seligman Data Corp.;
                                        formerly, Treasurer, American Investors Advisors, Inc.
</TABLE>
 
                                       12
 
<PAGE>
     All officers are  elected annually by  the Trustees and  serve until  their
successors  are elected and qualify or their earlier resignation. The address of
each of the foregoing officers is 100 Park Avenue, New York, New York 10017.
 
REMUNERATION OF TRUSTEES AND OFFICERS
 
     Trustees of the Fund who are not employees of the Manager or its affiliates
each receive from the Fund retainer fees  of $2,376 per year. In addition,  such
Trustees  are paid a total of $1,000 for  each day on which they attend Trustees
and/or Committee meetings,  which is paid  proportionately by the  Fund and  the
other  Seligman Group investment companies meeting on the same day. The trustees
are also reimbursed for the expenses of attending meetings.
 
     Trustees' attendance, retainer and/or committee  fees paid to each  Trustee
for the year ended December 31, 1994 were as follows:
 
<TABLE>
<CAPTION>
                                          AGGREGATE       PENSION OR RETIREMENT     TOTAL COMPENSATION
                                         COMPENSATION      BENEFITS ACCRUED AS        FROM FUND AND
NAME                                      FROM FUND       PART OF FUND EXPENSES       FUND COMPLEX*
- ------------------------------------     ------------     ----------------------    ------------------
<S>                                      <C>              <C>                       <C>
Alice S. Ilchman                          $ 2,650.73              - 0 -                  $ 67,000
John E. Merow                               2,615.02**            - 0 -                    66,000**
Betsy S. Michel                             2,615.02              - 0 -                    66,000
James C. Pitney                             2,650.73              - 0 -                    67,000
James Q. Riordan                            2,615.02              - 0 -                    66,000
Robert L. Shafer                            2,615.02              - 0 -                    66,000
James N. Whitson                            2,615.02**            - 0 -                    66,000**
</TABLE>
 
- ---------------------
 
 * There are 16 other investment companies in the Seligman Group.
 
** Messrs. Merow and Whitson have elected to defer receiving their fees from the
   Fund. The total amounts of deferred compensation (including interest) payable
   to Messrs. Merow and Whitson as of December 31, 1994 were $25,833 and $4,333,
   respectively.  Mr. Pitney had deferred receiving his fee and has owing to him
   deferred compensation as of December 31, 1994 of $22,065, including interest.
   Mr. Pitney no longer defers his current compensation.
 
     No compensation is paid by the Fund to Trustees or officers of the Fund who
are employees  of,  or consultants  to,  the  Manager. General  Galvin  and  Mr.
McPherson became Trustees on May 18, 1995.
 
     The  affirmative vote of  a plurality of  the votes cast  at the meeting is
required to approve the election of the proposed Trustees.
 
YOUR TRUSTEES UNANIMOUSLY RECOMMEND THAT THE SHARE-
   HOLDERS VOTE FOR THE ELECTION OF EACH OF THE FOREGOING          NOMINEES
                       TO SERVE AS TRUSTEES OF THE FUND.
 
                                       13
<PAGE>
                   B. RATIFICATION OF SELECTION OF AUDITORS.
                                  (Proposal 2)
 
     In  accordance  with the  requirements of  the 1940  Act, the  Trustees are
required to select independent public accountants  as auditors of the Fund  each
year.  If a shareholders' meeting is held, the Trustees' selection is subject to
ratification or rejection by shareholders.
 
     The Audit  Committee of  the Trustees  has recommended,  and the  Trustees,
including  a majority of those Trustees who  are not 'interested persons' of the
Fund (as  defined in  the 1940  Act), have  selected Deloitte  & Touche  LLP  as
auditors  of the Fund for 1995. The firm  of Deloitte & Touche LLP has extensive
experience in investment company accounting and auditing. It is expected that  a
representative  of Deloitte & Touche LLP will be present at the Meeting and will
have the opportunity to make a statement and respond to questions.
 
     The affirmative vote  of a majority  of the  votes cast at  the meeting  is
required to ratify the selection of auditors.
 
                      YOUR TRUSTEES UNANIMOUSLY RECOMMEND
                           APPROVAL OF THIS PROPOSAL.
 
                  C. APPROVAL OF AMENDMENT OF THE FUNDAMENTAL
                      INVESTMENT POLICY REGARDING BORROWING.
                                  (Proposal 3)
 
     The Fund's fundamental investment policies provide that each Series may not
borrow  money, except  from banks  for temporary  purposes in  an amount  not to
exceed 10% of the value of such Series' total assets. The Fund proposes to amend
this policy so that each Series may borrow  up to 15% of the value of its  total
assets  for temporary  or emergency  purposes. The purpose  of the  change is to
permit each Series to borrow money, rather than be forced to sell its  portfolio
holdings,  in order to  meet substantial redemption  requests. Such requests may
occur during periods of volatile market  conditions when a Series might find  it
disadvantageous  to sell portfolio holdings.  Sales of securities at unfavorable
prices may  reduce the  net asset  value  of a  Series' shares,  thus  adversely
affecting all investors, including those who do not redeem any of their shares.
 
     By  borrowing  to meet  redemption  requests instead  of  selling portfolio
holdings, a Series may be able to delay selling its holdings until prices are at
more favorable levels. If  additional shares of a  Series are sold, such  Series
may  be able  to use those  proceeds to  pay down its  borrowings, thus avoiding
sales and repurchases of portfolio securities, which could force the recognition
of capital
 
                                       14
 
<PAGE>
gains. A Series must of  course pay interest on  its borrowings and the  Manager
will  be  responsible  in  any  particular  situation  for  determining  whether
borrowing or  selling portfolio  securities is  in the  best interests  of  such
Series.  The broadening  of the policy  to permit borrowings  in emergencies (as
well as for  temporary purposes) is  intended to recognize  that adverse  market
conditions may continue for relatively long periods that might not ordinarily be
characterized as 'temporary.'
 
     Although  neither Series has  current plans to  do so, a  Series may in the
future seek to obtain a committed line of credit from a bank or other  financial
institution  to ensure that it will be able to borrow when circumstances require
and the investment policy permits it.
 
     Each Series  is  permitted to  mortgage  or  pledge its  assets  to  secure
permitted  borrowings. Consequently,  approval of  this proposal  would have the
effect of raising the percentage of assets each Series is permitted to  mortgage
or   pledge  with  respect  to  mortgaging  or  pledging  its  assets.  In  some
circumstances, a Series may be able to borrow only, or on more favorable  terms,
on  a secured basis. The Manager has informed the Fund that, if a Series' assets
are used to collateralize a loan, there may not be a direct correlation  between
the  amount of the loan and the value of the assets provided as collateral. This
is because  a Series'  borrowing limit  is  determined as  a percentage  of  the
current  value of its total assets,  whereas a financial institution may require
collateral with a  value in  excess of  the amount to  be loaned  and may  value
pledged assets on the basis of historical cost rather than current market value.
 
     At  a  meeting held  on September  21, 1995,  the Trustees  determined that
increasing the Fund's borrowing limit with respect to each Series in this manner
would be in the best interests of the Fund. Therefore, the Trustees approved and
recommended, subject to  shareholder approval, that  the fundamental  investment
policy regarding borrowing be amended as set forth below. Language to be deleted
is in [brackets] and language to be added is underlined.
                                             ----------
          . . . A Series may not . . .
 
          Borrow  money, except from  banks for temporary  or emergency purposes
                                                           ------------
     (but not for  the purchase  of portfolio securities)  in an  amount not  to
     exceed  15% [10%] of the value of the  total assets of the Series. A Series
             ---
     will not  purchase  additional  portfolio securities  if  such  Series  has
     outstanding borrowings in excess of 5% of the value of its total assets.
 
     With  respect to each  Series, the affirmative  'vote of a  majority of the
outstanding voting securities'  of the Series  is required for  the adoption  of
this  proposal. Under  the 1940 Act,  a 'vote  of a majority  of the outstanding
voting  securities'   of  a   Series   means  the   affirmative  vote   of   the
 
                                       15
 
<PAGE>
lesser  of (1) more than 50% of the  outstanding shares of the Series or (2) 67%
or more of the shares present at a shareholders' meeting if more than 50% of the
outstanding shares of the Series are represented at the meeting in person or  by
proxy.
 
                      YOUR TRUSTEES UNANIMOUSLY RECOMMEND
                           APPROVAL OF THIS PROPOSAL.
 
          D. APPROVAL OF THE ELIMINATION OF THE FUNDAMENTAL INVESTMENT
                POLICY REGARDING RESTRICTED AND ILLIQUID SECURITIES.
                                  (Proposal 4)
 
     Each  Series' fundamental investment policies  currently include a limit on
the Series' investments in  securities that are  not readily marketable  without
registration   under  the  Securities  Act  of  1933,  as  amended  ('restricted
securities') and  other  illiquid  securities  and  repurchase  agreements  with
maturities  in excess of seven  days. An 'illiquid security'  is a security that
may not be sold or disposed of  in the ordinary course of business within  seven
days at approximately the value at which a mutual fund has valued the investment
on  its books. Specifically, the Series' fundamental investment policies provide
that the Fund may not '[u]nderwrite the securities of other issuers, except  the
Series  may  invest  in  securities  that  are  not  readily  marketable without
registration under  the Securities  Act of  1933 ('restricted'  securities)  and
other illiquid securities and repurchase agreements with maturities in excess of
seven  days if immediately after the making of such investment not more than 10%
of the value of its total assets (taken at cost) would be so invested and except
that in connection with the disposition of  a security the Series may be  deemed
to be an underwriter, as defined in the Securities Act of 1933.'
 
     At  a meeting  held on September  21, 1995, the  Fund's Trustees determined
that there  was  no  legal  or  operational  requirement  that  this  policy  be
fundamental  and  that the  best interests  of  each Series  would be  served by
changing this  policy and  thus allowing  greater flexibility  in responding  to
market  or regulatory developments. In reaching this determination, the Trustees
considered that, in 1992,  the Staff of the  Securities and Exchange  Commission
(the  'SEC') revised its position with regard to illiquid securities (restricted
securities are generally  treated as illiquid  securities) by allowing  open-end
investment companies to invest up to 15% (instead of 10%) of their net assets in
illiquid securities (1940 Act Release No. 18612, March 12, 1992).
 
     Therefore,  the Trustees  approved and recommended,  subject to shareholder
approval,  that  this  fundamental  policy  be  eliminated  and  adopted  as   a
non-fundamental  policy that may be changed by  the Trustees (and may be revised
in accordance with SEC policy  regarding illiquid securities) without having  to
seek  the  'vote  of  a  majority of  the  outstanding  voting  securities' with
 
                                       16
 
<PAGE>
respect to each Series (as defined in the 1940 Act). If the shareholders approve
the elimination of this fundamental investment restriction, it is the  intention
of  the Manager to propose to the Trustees that the Fund adopt a non-fundamental
policy permitting it to  invest up to 15%  of the net assets  of each Series  in
illiquid  securities in order to expand  the investment options available to the
Series. Such a  policy could be  further changed by  the Trustees in  accordance
with then existing applicable laws and guidelines.
 
     Based  on  the foregoing,  the Trustees  recommend  the elimination  of the
fundamental investment policy  regarding restricted and  illiquid securities  as
set  forth below.  Language to be  deleted is  in [brackets] and  language to be
added is underlined. 
         ----------
          . . . A Series may not . . .
 
          Underwrite the securities  of other  issuers, except  [the Series  may
     invest  in securities that are  not readily marketable without registration
     under the  Securities  Act  of 1933  ('restricted'  securities)  and  other
     illiquid  securities and repurchase agreements with maturities in excess of
     seven days if immediately after the making of such investment not more than
     10% of the value of its total  assets (taken at cost) would be so  invested
     and  except] that in connection with the disposition of a security a Series
     may be deemed  to be an  underwriter as  defined in the  Securities Act  of
     1933.
 
     With  respect to  each Series  the affirmative 'vote  of a  majority of the
outstanding voting  securities' of  the Series,  as defined  in Proposal  3,  is
required for the adoption of this proposal.
 
                      YOUR TRUSTEES UNANIMOUSLY RECOMMEND
                           APPROVAL OF THIS PROPOSAL.
 
       E. APPROVAL OF AMENDMENTS TO THE MANAGEMENT AGREEMENT TO INCREASE
            THE MANAGEMENT FEE PAYABLE BY THE HIGH-YIELD BOND SERIES.
                                  (Proposal 5)
 
     This  proposal relates only to the  High-Yield Bond Series. Shareholders of
the U.S.  Government Securities  Series are  not  being asked  to vote  on  this
proposal.
 
GENERAL
 
     The  Trustees of the Fund are proposing for shareholder approval amendments
to the Management Agreement  between the Fund on  behalf of the High-Yield  Bond
Series  and the Manager, the effect of which would be to increase the management
fee payable by the  High-Yield Bond Series to  the Manager. Shareholders of  the
High-Yield  Bond Series are also being asked to approve the Management Agreement
as so  amended.  The factors  considered  by  the Trustees  in  determining  the
reasonableness  and  fairness  of  the  proposed  management  fee  increase  are
 
                                       17
 
<PAGE>
described below  under 'Factors  Considered  by the  Trustees'.  A copy  of  the
Management  Agreement reflecting the proposed amendments is set forth as Exhibit
A to this Proxy Statement.
 
     The Manager manages the High-Yield Bond Series under a Management Agreement
dated October 9, 1984 (the 'Management  Agreement'). The Manager also serves  as
manager  for the  U.S. Government  Securities Series  of the  Fund and  16 other
investment companies which, together with the Fund, comprise the Seligman Group.
The 16 other companies are Seligman Capital Fund, Inc., Seligman Cash Management
Fund, Inc.,  Seligman  Common  Stock Fund,  Inc.,  Seligman  Communications  and
Information  Fund,  Inc., Seligman  Frontier Fund,  Inc., Seligman  Growth Fund,
Inc., Seligman Henderson Global Fund  Series, Inc., Seligman Income Fund,  Inc.,
Seligman New Jersey Tax-Exempt Fund, Inc., Seligman Pennsylvania Tax-Exempt Fund
Series,  Seligman  Portfolios,  Inc.,  Seligman  Quality  Municipal  Fund, Inc.,
Seligman Select Municipal  Fund, Inc.,  Seligman Tax-Exempt  Fund Series,  Inc.,
Seligman  Tax-Exempt  Series  Trust  and  Tri-Continental  Corporation.  A table
setting forth the net assets, and the  management fee rate payable by the  other
Seligman  Group investment company  with an investment  objective similar to the
High-Yield Bond Series  is attached as  Exhibit B to  this Proxy Statement.  The
aggregate  net asset value of the Seligman Group was approximately $11.0 billion
at September 30, 1995. The Manager also provides investment management or advice
to institutional accounts  having a  September 30, 1995  value of  approximately
$3.5 billion.
 
     The  management  fee payable  by the  High-Yield Bond  Series has  not been
changed since  1988, when  the  current Management  Agreement was  adopted.  The
Management  Agreement  was  approved  by  shareholders  in  1988  at  a  special
shareholders' meeting  held in  connection with  the change  of control  of  the
Manager.  Continuance of the  Management Agreement in its  present form has been
approved by the  Trustees each year  since 1988, most  recently on November  17,
1994.
 
     The  Manager's proposal to increase the management  fee as set forth in the
proposed amendments  was considered  at meetings  of the  Trustees, at  which  a
majority  of the Trustees  who are not  'interested persons' (as  defined in the
1940 Act) of the Fund or the Manager was present, held on July 20 and  September
21,  1995, and at meetings of a  subcommittee of Trustees who are not interested
persons on August 29 and September 15, 1995 and at a meeting of all Trustees who
are not interested persons on September  21, 1995. Such consideration was  based
upon  financial, statistical and  other information supplied  to the Trustees by
the Manager. On September 21, 1995, the Trustees unanimously concluded that  the
proposed  amendments to  the Management Agreement  were fair  and reasonable and
justified by business  considerations and  determined to  submit the  Management
Agreement  as amended  to shareholders of  the High-Yield Bond  Series for their
approval.
 
                                       18
 
<PAGE>
TERMS OF THE MANAGEMENT AGREEMENT
 
     Under the Management Agreement, the Manager, at its expense and subject  to
the  control of the Trustees and in accordance with the objectives, policies and
principles of  the High-Yield  Bond  Series set  forth  in the  High-Yield  Bond
Series'  Prospectus, manages the affairs of  the High-Yield Bond Series. In this
regard, it is  the responsibility  of the  Manager to  continuously provide  the
High-Yield   Bond  Series  with   investment  management,  including  investment
research, advice and supervision, determine which securities shall be  purchased
or sold by the High-Yield Bond Series, make purchases and sales of securities on
behalf  of  the High-Yield  Bond  Series and  determine  how any  rights  of the
High-Yield Bond  Series shall  be  exercised. As  part  of these  services,  the
Manager provides the High-Yield Bond Series with such office space together with
bookkeeping,  accounting, internal  legal, clerical  and administrative services
and such executive and  other personnel as are  necessary for the operations  of
the  High-Yield Bond  Series. The Manager  also manages the  affairs of Seligman
Data Corp. ('Seligman  Data'), which  performs, at  cost, certain  recordkeeping
functions  for the High-Yield Bond Series,  maintains the records of shareholder
investment accounts  and furnishes  data processing,  dividend paying,  transfer
agency,  redemption and related services. During 1994 and during the nine months
ended September 30, 1995, the High-Yield Bond Series paid Seligman Data $158,110
and $172,072, respectively,  for services  rendered. The Manager  also pays  the
compensation  of Trustees of the High-Yield Bond Series who are employees of, or
consultants to, the Manager and of the president of Seligman Data.
 
     The High-Yield Bond Series is responsible  for payment of all its  expenses
other  than those  assumed by  the Manager.  Such expenses  generally consist of
direct charges  relating  to the  purchase  and sale  of  portfolio  securities,
interest charges, fees and expenses of independent attorneys and auditors, taxes
and  governmental  fees,  cost  of stock  certificates  and  any  other expenses
(including clerical  expenses)  of  issue, sale,  repurchase  or  redemption  of
shares, expenses of registering and qualifying shares for sale under federal and
state  securities laws, expenses  of printing and  distributing reports, notices
and proxy  materials  to  existing  shareholders,  expenses  of  corporate  data
processing  and  related  services,  shareholder  recordkeeping  and shareholder
account services, expenses of  printing and filing  reports and other  documents
filed   with  governmental  agencies,  expenses  of  printing  and  distributing
prospectuses, expenses of  annual and special  shareholders' meetings, fees  and
disbursements   of  transfer  agents  and  custodians,  expenses  of  disbursing
dividends and distributions, fees payable under the Administration,  Shareholder
Service  and Distribution Plan between the  Fund and service organizations, fees
and expenses of Trustees of the Fund who are not employees of the Manager or its
affiliates, membership  dues  in  the Investment  Company  Institute,  insurance
premiums  and extraordinary expenses such as litigation expenses. The Management
Agreement does not contain any expense limitation
 
                                       19
 
<PAGE>
provision although  the  Manager  will  reimburse  its  management  fee  to  the
High-Yield  Bond  Series to  the extent  required by  state securities  laws and
regulations.
 
     The Management Agreement will  continue in effect  until December 29,  1995
and  from year to year thereafter if  such continuance is approved in the manner
required by the 1940 Act, and if the Manager shall not have notified the Fund on
behalf of the High-Yield Bond  Series at least 60  days prior to an  anniversary
date  that it does not desire such  continuance. The Management Agreement may be
terminated by the Fund on behalf of the High-Yield Bond Series, without penalty,
on 60 days' written  notice to the Manager  and will terminate automatically  in
the event of its assignment.
 
PROPOSED FEE INCREASE
 
     The  Current Fee.  The Management Agreement  currently provides  for a fee,
computed daily and paid monthly, equal to  .50% of the average daily net  assets
of  the High-Yield Bond Series. This percentage is referred to as the management
fee rate.
 
     In 1994, the management fee amounted  to $329,652, which was equivalent  to
an  annual rate of .50% of the High-Yield Bond Series' average daily net assets.
For the nine  months ended September  30, 1995, the  management fee amounted  to
$427,808,  which was equivalent to an annual rate of .50% of the High-Yield Bond
Series' average daily net assets.
 
     The  Proposed  Fee.  Under  the  proposed  amendments  to  the   Management
Agreement,  the  management  fee  rate would  be  increased,  but  would include
provision for  a reduction  of the  management fee  rate as  the assets  of  the
High-Yield  Bond Series grow.  The management fee would  continue to be computed
daily and paid  monthly. The  following table  sets forth  the proposed  revised
schedule of management fee rate percentages.
 
<TABLE>
<CAPTION>
                                                                                        ANNUAL
NET ASSETS OF FUND                                                                     FEE RATE
- -----------------------------------------------------------------------------------   ----------
<S>                                                                                   <C>
First $1 billion at................................................................       .65%
Thereafter.........................................................................       .55%
</TABLE>
 
     If  the  proposed  amendments to  the  management  fee had  been  in effect
throughout 1994,  the  management fee  for  that  year would  have  amounted  to
$428,522,  which would  have been equivalent  to an  annual rate of  .65% of the
High-Yield Bond Series' average daily net assets. This would have represented an
increase of 30% over the actual management fee of $329,652. For the nine  months
ended  September 30, 1995,  the management fee would  have amounted to $556,131,
which would have been  equivalent to an  annual rate of  .65% of the  High-Yield
Bond  Series' average daily net assets.  This would have represented an increase
of 30% over the actual management fee of $427,808 for that period.
 
                                       20
 
<PAGE>
     The following table shows,  for the Fund's fiscal  year ended December  31,
1994,  (a) the actual operating  expenses for each class  of the High-Yield Bond
Series' shares as  a percentage  of average  net assets  and (b)  the pro  forma
operating  expenses assuming the proposed amendments to the Management Agreement
had been in effect throughout the year.
 
<TABLE>
<CAPTION>
                                                     CLASS A SHARES           CLASS D SHARES
                                                  --------------------     --------------------
                                                  ACTUAL     PRO FORMA     ACTUAL     PRO FORMA
                                                  ------     ---------     ------     ---------
<S>                                               <C>        <C>           <C>        <C>
Management Fee............................          .50%         .65%        .50%         .65%
12b-1 Fees................................          .21          .21        1.00         1.00
Other Expenses............................          .42          .42         .69          .69
                                                  ------     ---------     ------     ---------
Total Fund Operating Expenses.............         1.13%        1.28%       2.19%        2.34%
                                                  ------     ---------     ------     ---------
                                                  ------     ---------     ------     ---------
</TABLE>
 
     EXAMPLE: The  following illustrates  the expenses  on a  $1,000  investment
under the existing and proposed fees and the expenses stated above, assuming (1)
a 5% annual return and (2) redemption at the end of each time period:
 
<TABLE>
<CAPTION>
                                                  1 YEAR     3 YEARS     5 YEARS     10 YEARS
                                                  ------     -------     -------     --------
<S>                                               <C>        <C>         <C>         <C>
Class A Shares:
     Existing Fee.........................         $ 58        $82        $ 107        $178
     Proposed Fee.........................           60         86          114         195
Class D Shares:
     Existing Fee.........................           32*        69          117         252
     Proposed Fee.........................           34*        73          125         268
</TABLE>
 
- ---------------
* Assuming (i) a 5% annual return and (ii) no redemption at the end of one year,
  the  expenses on a $1,000 investment would be $22 with respect to the existing
  fee and $24 with respect to the proposed fee.
     The purpose  of  this example  and  the table  is  to assist  investors  in
understanding  the  various costs  and expenses  of investing  in shares  of the
High-Yield  Bond  Series.  THE  EXAMPLE   ABOVE  SHOULD  NOT  BE  CONSIDERED   A
REPRESENTATION  OF PAST OR FUTURE EXPENSES OF THE HIGH-YIELD BOND SERIES. ACTUAL
EXPENSES MAY VARY FROM YEAR TO YEAR AND MAY BE HIGHER OR LOWER THAN THOSE  SHOWN
ABOVE.
 
FACTORS CONSIDERED BY THE TRUSTEES
 
     The   Trustees  have   considered  various   matters  in   determining  the
reasonableness and  fairness of  the  proposed increase  in the  management  fee
payable  by the  High-Yield Bond  Series. The  Fund's legal  counsel advised the
Trustees on the nature of the matters  to be considered and the standards to  be
used by the Trustees in reaching their decision.
 
     In reaching their decision, the Trustees examined and weighed many factors,
including:  (1) the nature and quality of  the services rendered and the results
achieved by the Manager in the areas
 
                                       21
 
<PAGE>
of investment  management  (including investment  performance  comparisons  with
other mutual funds and certain indices) and administrative services; (2) changes
in  the mutual fund industry that have  affected the High-Yield Bond Series; (3)
the payments  received  by the  Manager  and  its affiliates  from  all  sources
involving  both the High-Yield Bond Series and the other investment companies in
the  Seligman  Group;   (4)  extensive  financial,   personnel  and   structural
information  as to the Manager's organization, including the costs borne by, and
profitability of, the  Manager and its  affiliates in providing  service of  all
types to the High-Yield Bond Series and to the other investment companies in the
Seligman  Group; (5) the organizational  capabilities and financial condition of
the Manager; (6) an analysis of  the proposed fee rate changes; (7)  information
concerning the High-Yield Bond Series' expense ratio on both an existing and pro
forma  basis;  (8) information  as  to the  management  fees paid  by  the other
Seligman Group investment companies; (9)  the portfolio allocation policies  and
practices  of the High-Yield  Bond Series and  its historical portfolio turnover
rates; (10) competitive  industry fee structures  and expense ratios  including,
specifically,  the relationship  of the proposed  management fee  rates to those
typically paid by similar funds; (11) a comparison of the overall  profitability
of  the Manager to  the profitability of certain  other investment advisers; and
(12) the fall-out benefits which the Manager and its affiliates receive from the
Manager's relationship to the High-Yield Bond Series.
     Certain of  the  factors  addressed  by  the  Trustees  in  reaching  their
determination are discussed in more detail below.
      Portfolio  Performance. The  Directors considered  the performance  of the
High-Yield Bond  Series as  compared  to the  performance  of other  funds  with
comparable  objectives and  as compared  to securities  indices. The  nature and
quality of  the  investment  advice rendered  by  the  Manager as  well  as  the
backgrounds  of  the portfolio  managers and  other  executive personnel  of the
Manager were also  considered by Trustees.  The Trustees took  into account  the
investment  results of the High-Yield Bond Series during the first six months of
1995, in 1994 and  in recent years. The  Trustees noted that organizational  and
operational  changes designed  to improve  investment results  had been  made in
recent times and had been previously reported by the Manager to the Trustees.
 
                                       22
 
<PAGE>
     The High-Yield  Bond Series'  average annual  total return  performance  in
comparison   with  the  annualized  total  return  performances  of  the  Lipper
High-Yield Index  ('Lipper')  and  the Merrill  Lynch  High-Yield  Master  Index
('Merrill Lynch') is set forth below:
 
<TABLE>
<CAPTION>
                                                              10 YEARS            5 YEARS            1 YEAR
                                                            ENDED 6/30/95      ENDED 6/30/95      ENDED 6/30/95
                                                           ---------------    ---------------    ---------------
<S>                                                        <C>                <C>                <C>
Lipper High-Yield Index.................................        10.03%             13.40%              8.81%
Merrill Lynch High-Yield Master Index...................        12.12              14.22              14.88
Seligman High-Yield Bond Series -- Class A..............        11.39              14.42              13.38
                                -- Class D..............         --                 8.67*             12.05
</TABLE>
 
- ---------------
Source: Lipper -- Mutual Fund Performance Services Inc.
* From commencement of operations on May 3, 1993 to June 30, 1995.
 
     The  Merrill Lynch and Lipper Indices are unmanaged and assume reinvestment
of estimated income  and do  not reflect fees  and expenses.  Investors may  not
invest  directly in  an index. The  High-Yield Bond  Series' performance assumes
reinvestment of capital gains and dividends  and does not reflect the  deduction
of sales charges.
 
      Changes in the Mutual Fund Industry. The Trustees considered the effect of
changes  in the mutual fund industry  since the Management Agreement was adopted
in 1984. Among these, the  Trustees considered the increased competitiveness  in
the  mutual fund industry that has resulted  from the growth in the total assets
under management and in the number  of funds offered. They evaluated the  extent
to which this has created an expectation among brokers and investors that mutual
funds  will offer multiple classes  of shares and a  need for enhanced marketing
efforts by the Manager,  the increased expense incurred  by the Manager and  its
affiliates   (primarily  the  High-Yield   Bond  Series'  distributor,  Seligman
Financial Services, Inc.)  in connection with  such enhanced marketing  efforts,
and  their  effectiveness.  The  Manager  advised  the  Trustees  that estimated
marketing expenditures for 1995 would be more than double total expenditures  in
1990. The Trustees considered these factors in assessing the current competitive
environment in the mutual fund industry. However, in evaluating the fee increase
proposal,  the Trustees  specifically excluded from  consideration the Manager's
marketing expenditures and their effect on the Manager's profitability.
 
      Actual and Pro Forma Management Fees and Expenses. The Trustees considered
the effect  of the  proposed  management fee  increase  on the  High-Yield  Bond
Series'  fee rates and  annual expense ratios (which  include the management fee
and all other operating  expenses incurred by the  High-Yield Bond Series).  The
table set forth above under 'Proposed Fee Increase -- The Proposed Fee' provides
comparative  data  for  the year  ended  December  31, 1994,  assuming  that the
proposed fee increase had been in effect throughout the year.
 
                                       23
 
<PAGE>
      Costs of  Providing  Service  and  Profitability.  The  Trustees  reviewed
information  concerning profitability  of the Manager's  investment advisory and
investment company activities and its financial condition based on results  from
1990  through  1994  and  estimates  for  the  first  six  months  of  1995. The
information  considered  by  the  Trustees  included  operating  profit   margin
information for the Manager's investment company business alone (i.e., excluding
results of its affiliates) and on a consolidated basis both before and after the
Manager's   net  expenditures   for  marketing.   The  Trustees   also  reviewed
profitability data for 1993 and 1994  and estimated profitability data for  1995
for  each of the Seligman Group investment companies on a fund-by-fund basis. In
addition, such  data  were reviewed  on  a pro  forma  basis assuming  that  the
proposed  management  fee  increase  had been  in  effect  throughout  1995. The
Trustees recognized that the  growth of assets under  management by the  Manager
(particularly   in  1995)   would  have   positive  effects   on  the  Manager's
profitability even without the proposed fee increase (and those being sought  in
respect  of certain other Seligman Group  companies); however, the Trustees also
considered the fact that the proposed fee increases would enhance the  Manager's
ability  to attract  and retain  highly qualified  investment and administrative
professionals in  a  competitive  investment management  environment,  and  thus
address  the  expectations  of the  Trustees  regarding the  performance  of the
High-Yield Bond Series that  only such professionals  can satisfy. The  Trustees
also  recognized that creating vertically integrated investment teams within the
Manager with  responsibility for  specific investment  management expertise  and
strategies  (such as growth and small  capitalization common stocks, and taxable
and municipal fixed income securities) will establish a structural  underpinning
for  the services being provided to the High-Yield Bond Series that is likely to
increase the costs to the Manager of providing those services.
 
     Certain assumptions and methods  of allocation utilized  by the Manager  in
preparing  fund-by-fund data  were reviewed by  the Trustees.  While the Manager
believes that  the  methods  of  allocation  used  were  reasonable,  there  are
limitations  inherent  in  allocating  costs  to  multiple  individual  advisory
products served  by an  organization such  as the  Manager's where  each of  the
advisory  products  draws on,  and  benefits from,  the  pooled research  of the
organization.
 
     The Trustees were also provided with consolidated financial data concerning
the Manager's revenues  and expenses as  a whole for  1993 and 1994  and, on  an
estimated basis, for 1995.
 
      Comparisons  with Other Funds. The Trustees considered the management fees
paid by other  funds with  similar investment  objectives having  net assets  of
between  $50  million and  $1  billion. In  addition  to comparing  the proposed
management fees, the  Trustees also  considered the  comparability of  operating
expense   ratios  with   the  ratios   of  these   other  investment  companies.
Notwithstanding that under the proposal  the High-Yield Bond Series'  management
fee  and operating expense ratios would  increase, the Trustees believe that the
management fee and
 
                                       24
 
<PAGE>
expense ratios would remain  comparable to industry norms.  Based upon the  data
reported  in  Lipper  Directors'  Analytical Data  --  First  Edition  1995, the
High-Yield Bond Series' management fee rate  of .50% in 1994 was the  thirteenth
lowest  among 62  investment companies with  a similar  investment objective and
assets between $50 million and $1 billion. On a pro forma basis giving effect to
the proposed management fee increase, its ratio of management fee to average net
assets of .65% would have  been in the top  third of such investment  companies.
Based  upon  the same  data,  the High-Yield  Bond  Series' ratios  of operating
expenses to average net  assets for Class  A and Class D  were 1.13% and  2.19%,
respectively,  for  1994. After  giving effect  to  the proposed  management fee
increase, the ratios of operating expenses to average daily net assets for Class
A and Class D would have been 1.28% and 2.34%, respectively.
 
      Non-Advisory Services Provided to the High-Yield Bond Series. The Trustees
reviewed the general nature of the non-investment advisory services performed by
the Manager. In addition to reviewing such services, the Trustees considered the
organizational structure employed by the Manager to provide those services.  The
services provided to the Trustees by Seligman Data were also considered.
 
      Fall-Out  Benefits. The Trustees  considered the services  provided to the
High-Yield  Bond  Series  and  its  shareholders  by  Seligman  Services,   Inc.
('Seligman  Services'),  an affiliate  of the  Manager, and  the 12b-1  fees the
High-Yield Bond Series  pays to Seligman  Services in respect  of shares of  the
High-Yield Bond Series held in accounts for which there would not otherwise be a
broker of record.
 
     The  affirmative 'vote of a majority  of the outstanding voting securities'
of the High-Yield Bond  Series, as defined  in Proposal 3,  is required for  the
adoption of this proposal.
 
     If  approved by shareholders at the Meeting, the proposed amendments to the
Management Agreement  and the  Management Agreement  as so  amended will  become
effective  on January 1, 1996. The Management Agreement, if approved as amended,
will continue  in  effect  until  December  29, 1996,  and  from  year  to  year
thereafter  if such continuance is  approved in the manner  required by the 1940
Act, and  if the  Manager shall  not have  notified the  Fund on  behalf of  the
High-Yield  Bond Series at  least 60 days  prior to an  anniversary date that it
does not desire  such continuance.  If the amendments  are not  approved by  the
shareholders,  the Management Agreement  will continue in  effect in its present
form, subject to the continuation and termination provisions referred to above.
 
                      YOUR TRUSTEES UNANIMOUSLY RECOMMEND
               THAT SHAREHOLDERS VOTE IN FAVOR OF THIS PROPOSAL.
 
                                       25
 
<PAGE>
ADDITIONAL INFORMATION CONCERNING THE MANAGER
 
     Set forth below is information  concerning the principal executive  officer
and the Directors of the Manager:
 
<TABLE>
<CAPTION>
NAME                        PRINCIPAL OCCUPATION                POSITION WITH THE FUND
- ------------------------    -------------------------------     -------------------------
<S>                         <C>                                 <C>
William C. Morris           Chairman of the Board               Chairman of the Board and
                            and President of the Manager        Chief Executive Officer
Fred E. Brown               Director of, and Consultant to,     Trustee
                            the Manager
Michael J. Del Priore       Director and Managing               None
                            Director of the Manager
William H. Hazen            Director and Managing               None
                            Director of the Manager
Thomas G. Moles             Director and Managing               None
                            Director of the Manager
Ronald T. Schroeder         Director, Managing                  Trustee
                            Director and Chief
                            Investment Officer,
                            Institutional of the Manager
David F. Stein              Director and Managing               None
                            Director of the Manager
David Watts                 Director and Managing               None
                            Director of the Manager
Brian T. Zino               Director and Managing               Trustee and President
                            Director of the Manager
</TABLE>
 
     The address of each of the foregoing is 100 Park Avenue, New York, New York
10017.
 
     Other  information with respect  to the executive  officers and Trustees of
the Fund is set forth under Proposal 1.
 
     William C. Morris owns a majority  of the outstanding voting securities  of
the  Manager. Accordingly, under the applicable  provisions of the 1940 Act, Mr.
Morris is a 'control  person' of the Manager.  In addition, Ronald T.  Schroeder
and  Brian T. Zino each own 10% or  more of the outstanding voting securities of
the Manager.
 
     As of January 1,  1995, Brian T.  Zino purchased 95  Class B common  shares
from the Manager, at a price of $1,344.80 per share.
 
                                       26
 
<PAGE>
     During  the year ended December  31, 1994, no commissions  were paid by the
High-Yield Bond Series to any broker affiliated with the Manager.
 
                    F. OTHER MATTERS; SHAREHOLDER PROPOSALS.
 
     The Management knows of no other matters which are to be brought before the
Meeting. However, if any other matters  come before the Meeting, it is  intended
that the persons named in the enclosed form of Proxy, or their substitutes, will
vote the Proxy in accordance with their judgment on such matters.
 
     A  shareholder proposal intended to be represented at any meeting hereafter
called must  be  received  by the  Fund  within  a reasonable  time  before  the
solicitation  relating thereto is made in order  to be included in the notice of
meeting, proxy statement and form of  proxy relating to such meeting. Under  the
current  By-Laws of the Fund,  meetings of shareholders are  required to be held
only  when  necessary  under  the  1940  Act.  It  is  therefore  unlikely  that
shareholder  meetings  will be  held on  an  annual basis.  The submission  by a
shareholder of  a  proposal  for  inclusion in  the  proxy  statement  does  not
guarantee that it will be included. Shareholder proposals are subject to certain
regulations under federal law.
 
                                  G. EXPENSES.
 
     The  Manager  will bear  the  cost of  soliciting  Proxies with  respect to
Proposal 6,  and the  Fund  will bear  the balance  of  the cost  of  soliciting
Proxies.  In  addition  to  the  use of  the  mails,  Proxies  may  be solicited
personally or by telephone or telegraph  by Trustees, officers and employees  of
the  Fund, the Manager, Seligman Financial Services, Inc., Seligman Services and
Seligman Data and the Fund may  reimburse persons holding shares in their  names
or  names of their nominees for  their expenses in sending solicitation material
to their principals. Morrow &  Co., Inc., 909 Third  Avenue, New York, New  York
10022-4799  has been engaged  to assist in  soliciting for a  fee of $3,000 plus
expenses, to be paid by the Manager.
 
                                                       By order of the Trustees,
                                                   Secretary
                             ---------------------
 
     IT IS  IMPORTANT  THAT  PROXIES BE  RETURNED  PROMPTLY.  ALL  SHAREHOLDERS,
INCLUDING  THOSE WHO EXPECT TO  ATTEND THE MEETING, ARE  URGED TO DATE, FILL IN,
SIGN AND MAIL THE ENCLOSED FORM OF  PROXY IN THE ENCLOSED RETURN ENVELOPE  WHICH
REQUIRES  NO POSTAGE IF MAILED IN THE UNITED STATES. A PROXY IS NOT REQUIRED FOR
ADMISSION TO THE MEETING.
 
                                       27
<PAGE>
                                   EXHIBIT A
      (LANGUAGE TO BE DELETED IS IN [BRACKETS] AND LANGUAGE TO BE ADDED IS
                                  UNDERLINED.) 
                                  ----------
                              MANAGEMENT AGREEMENT
 
MANAGEMENT  AGREEMENT, dated  as of  December 29,  1988, and  amended January 1,
                                                         -----------------------
1996, between the  SELIGMAN HIGH  INCOME FUND SERIES,  a Massachusetts  business
- -----
trust  (the 'Fund') on behalf of the  HIGH-YIELD BOND SERIES (the 'Series'), and
J. & W. SELIGMAN & CO. INCORPORATED, a Delaware corporation (the 'Manager').
 
     In consideration of the mutual  agreements herein made, the parties  hereto
agree as follows:
 
     1.  DUTIES OF  THE MANAGER.  The Manager  shall manage  the affairs  of the
Series including, but  not limited  to, continuously providing  the Series  with
investment  management, including  investment research,  advice and supervision,
determining which securities shall  be purchased or sold  by the Series,  making
purchases  and sales of securities  on behalf of the  Series and determining how
voting and  other rights  with respect  to securities  of each  Series shall  be
exercised,  subject in each case to the control  of the trustees of the Fund and
in accordance with  the objectives,  policies and  principles set  forth in  the
Registration  Statement and Prospectus of the Series and the requirements of the
Investment Company  Act  of  1940  (the 'Act')  and  other  applicable  law.  In
performing  such  duties,  the Manager  shall  provide such  office  space, such
bookkeeping,   accounting,   internal    legal,   clerical,   secretarial    and
administrative  services (exclusive  of, and in  addition to,  any such services
provided by any  others retained  by the Series)  and such  executive and  other
personnel  as shall be  necessary for the  operations of the  Series. The Series
understands that the Manager also acts as  the manager of all of the  investment
companies in the Seligman Group.
 
     Subject  to Section 36 of  the Act, the Manager shall  not be liable to the
Series for any error of judgment or mistake  of law or for any loss arising  out
of any investment or for any act or omission in the management of the Series and
the   performance  of  its  duties  under  this  Agreement  except  for  willful
misfeasance, bad faith or gross negligence  in the performance of its duties  or
by  reason  of  reckless disregard  of  its  obligations and  duties  under this
Agreement.
 
     2. EXPENSES. The  Manager shall pay  all of its  expenses arising from  the
performance  of  its obligations  under  Section 1  and  shall pay  such Series'
proportional share or  any salaries, fees  and expenses of  the trustees of  the
Fund  who are employees of the Manager  or its affiliates. The Manager shall not
be required to pay any other expenses of the Series, including, but not  limited
to,  direct charges relating  to the purchase and  sale of portfolio securities,
interest charges, fees and expenses of independent attorneys and auditors, taxes
and governmental fees, cost of stock
 
                                       28
 
<PAGE>
certificates and  any other  expenses (including  clerical expenses)  of  issue,
sale, repurchase or redemption of shares, expenses of registering and qualifying
shares  of the Series for sale under federal and state securities laws, expenses
of printing and distributing  reports, notices and  proxy materials to  existing
shareholders,  expenses  of  corporate  data  processing  and  related services,
shareholder recordkeeping and shareholder account services, expenses of printing
and filing  reports  and  other  documents  filed  with  governmental  agencies,
expenses  of  printing and  distributing  prospectuses, expenses  of  annual and
special shareholders' meetings,  fees and disbursements  of transfer agents  and
custodians,  expenses of  disbursing dividends  and distributions,  fees payable
under the Administration, Shareholder Service and Distribution Plan between  the
Fund  and service organizations, fees  and expenses of trustees  of the Fund who
are not  employees of  the Manager  or its  affiliates, membership  dues in  the
Investment Company Institute, insurance premiums and extraordinary expenses such
as litigation expenses.
 
     3. COMPENSATION
 
          (a) As  compensation for the services performed and the facilities and
              personnel provided  by  the Manager  pursuant  to Section  1,  the
              Series  will pay  to the  Manager promptly  after the  end of each
              month a fee, calculated on each day during such month on the basis
              of the Series' net assets at the close of business on the previous
              day, at an  annual rate  of .65%  [0.50%] of  the Series'  average
                                          ----
              daily  net assets on  the first $1,000,000,000  of net assets, and
                                ------------------------------------------------
              .55% of  the  Series'  average  daily  net  assets  in  excess  of
              ------------------------------------------------------------------
              $1,000,000,000.
              --------------- 

          (b) If  the Manager shall  serve hereunder for less  than the whole of
              any month, the fee hereunder shall be prorated.
 
     4. PURCHASE AND SALE OF  SECURITIES. The Manager shall purchase  securities
from  or through  and sell  securities to  or through  such persons,  brokers or
dealers (including the Manager  or an affiliate of  the Manager) as the  Manager
shall  deem  appropriate  in order  to  carry  out the  policy  with  respect to
allocation of portfolio transactions as set forth in the Registration  Statement
and  Prospectus(es) of the Series or as the trustees of the Fund may direct from
time  to  time.  In  providing   the  Series  with  investment  management   and
supervision,  it is  recognized that  the Manager  will seek  the most favorable
price and execution, and, consistent with such policy, may give consideration to
the research, statistical and other services furnished by brokers or dealers  to
the  Manager for its use,  to the general attitude  of brokers or dealers toward
investment companies and their support of them, and to such other considerations
as the trustees of the Fund may direct or authorize from time to time.
 
                                       29
 
<PAGE>
     Notwithstanding the above, it  is understood that it  is desirable for  the
Series  that  the  Manager have  access  to supplemental  investment  and market
research and  security and  economic analysis  provided by  brokers who  execute
brokerage  transactions at  a higher  cost to  the Series  than may  result when
allocating brokerage to other brokers on the basis of seeking the most favorable
price and execution. Therefore,  the Manager is authorized  to place orders  for
the purchase and sale of securities for the Series with such brokers, subject to
review  by the  trustees of  the Series from  time to  time with  respect to the
extent and continuation  of this practice.  It is understood  that the  services
provided  by such brokers  may be useful  to the Manager  in connection with its
services to other clients as well as the Series.
 
     The placing of purchase and sale orders  may be carried out by the  Manager
or any wholly-owned subsidiary of the Manager.
 
     If,  in connection with  purchases and sales of  securities for the Series,
the Manager or any subsidiary of the Manager may, without material risk, arrange
to receive a soliciting dealer's fee or other underwriter's or dealer's discount
or commission, the Manager shall, unless  otherwise directed by the trustees  of
the  Fund, obtain such fee, discount or  commission and the amount thereof shall
be applied to reduce the compensation to be received by the Manager pursuant  to
Section 3 hereof.
 
     Nothing  herein shall prohibit the trustees  of the Fund from approving the
payment by  the  Series of  additional  compensation to  others  for  consulting
services, supplemental research and security and economic analysis.
 
     5.  TERM  OF AGREEMENT.  This Agreement  shall continue  in full  force and
effect until  the earlier  of  December 29,  1996 [89]  and  from year  to  year
                                               --
thereafter  if such continuance is approved in the manner required by the Act if
the Manager shall not have notified the Series in writing at least 60 days prior
to   such   December   29  or  prior  to December 29  of any  year    thereafter
that  it does not desire  such continuance. This agreement  may be terminated at
any time, without payment of penalty by  the Series, on 60 days' written  notice
to  the Manager by vote of the trustees of  the Fund or by vote of a majority of
the outstanding voting securities  of the Series (as  defined by the Act).  This
Agreement  will  automatically  terminate in  the  event of  its  assignment (as
defined by the Act).
 
     6. RIGHT OF  MANAGER IN  CORPORATE NAME. The  Manager and  the Series  each
agree that the word 'Seligman', which comprises a component of the Series' name,
is  a property right of the Manager. The  Series agrees and consents that (i) it
will only use the word 'Seligman' as  a component of its corporate name and  for
no   other   purpose,   (ii)   it   will   not   purport   to   grant   to   any
 
                                       30
 
<PAGE>
third party the  right to use  the word  'Seligman' for any  purpose, (iii)  the
Manager or any corporate affiliate of the Manager may use or grant to others the
right to use the word 'Seligman', or any combination or abbreviation thereof, as
all  or a portion of a corporate or business name or for any commercial purpose,
including a grant  of such right  to any  other investment company,  and at  the
request  of the Manager, the Series will take  such action as may be required to
provide its consent to  the use of  the word 'Seligman',  or any combination  or
abbreviation  thereof, by the Manager or any corporate affiliate of the Manager,
or by any person to whom the Manager  or an affiliate of the Manager shall  have
granted  the right to such use; and  (iv) upon the termination of any management
agreement into which  the Manager and  the Series may  enter, the Series  shall,
upon  request by the Manager, promptly take  such action, at its own expense, as
may be necessary to  change its corporate  name to one  not containing the  word
'Seligman'  and following such change,  shall not use the  word Seligman, or any
combination thereof, as a part of its corporate name or for any other commercial
purpose, and shall  use its  best efforts to  cause its  officers, trustees  and
stockholders to take any and all actions which the Manager may request to effect
the foregoing and to reconvey to the Manager any and all rights to such word.
 
     7. MISCELLANEOUS
 
          (a) This  Agreement shall be  governed by and  construed in accordance
              with the laws  of the State  of New York.  Anything herein to  the
              contrary notwithstanding, this Agreement shall not be construed to
              require,  or to impose any duty upon  either of the parties, to do
              anything in violation of any applicable laws or regulations.
 
          (b) The Trustees of  the Fund  have authorized the  execution of  this
              Agreement  in their capacity as  Trustees and not individually and
              the Manager agrees that neither the shareholders nor the  Trustees
              nor  any officer,  employee, representative  or agent  of the Fund
              shall be personally liable upon, nor shall resort be had to  their
              private  property  for  the  satisfaction  of,  obligations given,
              executed or  delivered on  behalf  of or  by  the Fund,  that  the
              shareholders,   Trustees,  officers,   employees,  representatives
 
                                       31
 
<PAGE>
                 and  agents  of  the  Fund  shall  not  be  personally   liable
                 hereunder,  and  that  the  Manager shall  look  solely  to the
                 property  of  the  Fund  for  the  satisfaction  of  any  claim
                 hereunder.
 
     IN  WITNESS WHEREOF, the Fund on behalf  of the Series and the Manager have
caused this Agreement to be executed by their duly authorized officers as of the
date first above written.
 
                                     SELIGMAN HIGH INCOME FUND SERIES
                                     BY ________________________________________
 
                                     J. & W. SELIGMAN & CO. INCORPORATED
 
                                     BY ________________________________________
 
                                       32
<PAGE>
                                   EXHIBIT B
 
     The  table below sets forth the net assets and the management fee rate paid
to the Manager for 1994  for the High-Yield Bond  Series and the other  Seligman
Group  investment  company  which has  an  investment objective  similar  to the
High-Yield Bond Series:
 
<TABLE>
<CAPTION>
                                                          APPROXIMATE NET
                                                           ASSETS AS OF            1994 MANAGEMENT FEE
                                                         DECEMBER 31, 1994          AS A PERCENTAGE OF
NAME OF INVESTMENT COMPANY                                (000'S OMITTED)        AVERAGE DAILY NET ASSETS
- ----------------------------------------------------  -----------------------    ------------------------
<S>                                                   <C>                        <C>
High-Yield Bond Series                                        $68,282                       .50%
Seligman High-Yield Bond Portfolio
  of Seligman Portfolios, Inc.                                      0*                      .00*
</TABLE>
 
- ------------
 
*  The Portfolio commenced operations in 1995.  The management fee rate for  the
   Portfolio is .50%.
 
     Seligman  Portfolios, Inc. is the underlying investment vehicle for certain
variable annuity insurance products.
 
     The Manager  has  proposed  to  raise  the  management  fee  rate  for  the
High-Yield  Bond Series to .65%  of the Fund's daily net  assets on the first $1
billion of net assets and  .55% of the Fund's daily  net assets in excess of  $1
billion.
 
                                       33
<PAGE>
 
                                                            SELIGMAN
                                                           HIGH INCOME
                                                           FUND SERIES
 
                                                 Seligman High-Yield Bond Series
 
                                                    Seligman U.S. Government
                                                        Securities Series
 
                                                    Notice of Special Meeting
                                                         of Shareholders
                                                               and
                                                         Proxy Statement
 
                                                 -------------------------------
                                                   Time: December 12, 1995
                                                         9:00 A.M.
                                                 -------------------------------
 
                                                   Place: Grand Hyatt Hotel
                                                      42nd Street and
                                                        Lexington Avenue
                                                      New York, New York 10017
 
                                                  Please date, fill in and sign
                                                  the  enclosed  form  of Proxy
                                                  and mail it  in the  enclosed
                                                  return envelope which
                                                  requires no postage if mailed
                                                  in the United States.
 
                                    [Logo]
 
                        SELIGMAN HIGH INCOME FUND SERIES
                                   Managed by
 
                                   [Logo]
 
                             J. & W. SELIGMAN & CO.
                                  INCORPORATED
                        INVESTMENT MANAGERS AND ADVISORS
                                ESTABLISHED 1864
                      100 Park Avenue, New York, NY 10017
<PAGE>
                                 APPENDIX I
                                 PROXY CARDS

PROXY
                        SELIGMAN HIGH-YIELD BOND SERIES
                                  A SERIES OF
                        SELIGMAN HIGH INCOME FUND SERIES
                      100 Park Avenue, New York, NY 10017
 
The undersigned, revoking previous proxies, acknowledges receipt of the Notice
of Meeting and Proxy Statement for the Special Meeting of Shareholders of
SELIGMAN HIGH-YIELD BOND SERIES, a series of SELIGMAN HIGH INCOME FUND SERIES,
to be held December 12, 1995 and appoints JOHN E. MEROW, WILLIAM C. MORRIS and
BRIAN T. ZINO (and each of them) proxies, with power of substitution, to attend
the Special Meeting (and any adjournments thereof) and vote all shares the
undersigned is entitled to vote upon the matters indicated on the reverse side
and on any other business that may properly come before the Meeting.
 
THIS PROXY WHEN PROPERLY EXECUTED WILL BE VOTED IN THE MANNER DIRECTED BY THE
UNDERSIGNED. IF NO INSTRUCTIONS ARE GIVEN, YOUR PROXIES WILL VOTE FOR THE
ELECTION OF THE NOMINEES OF THE TRUSTEES AND FOR ALL PROPOSALS.
 
  YOUR VOTE IS IMPORTANT. PLEASE COMPLETE, SIGN ON THE REVERSE SIDE AND RETURN
                         THIS CARD AS SOON AS POSSIBLE.
                       MARK EACH VOTE WITH X IN THE BOX.

<PAGE>
- --------------------------------------------------------------------------------
          THE TRUSTEES RECOMMEND THAT YOU VOTE FOR EACH OF THE NOMINEES
                         AND FOR ALL PROPOSALS.
- --------------------------------------------------------------------------------
<TABLE>
<S>  <C>                        <C>                                            <C>
1.   ELECTION OF TRUSTEES       / / FOR all nominees                           / /  WITHHOLD AUTHORITY TO VOTE
                                    (except as written on the line below).          for all nominees listed below.

     NOMINEES:  Fred E. Brown, John R. Galvin, Alice S. Ilchman, Frank A. McPherson, John E. Merow,
                Betsy S. Michel, William C. Morris, James C. Pitney, James Q. Riordan, Ronald T.
                Schroeder, Robert L. Shafer, James N. Whitson, Brian T. Zino
     (INSTRUCTIONS: To withhold authority to vote for any individual nominee write the nominee's name
     on the line below.)
     --------------------------------------------------------------------------------
</TABLE>

<TABLE>
<S>   <C>                                                                                     <C>         <C>           <C>
2.    Ratification of the selection of Deloitte & Touche LLP as Auditors.                      / / FOR    / / AGAINST   / / ABSTAIN

3.    Approval of the amendment of the Series' fundamental investment policy to increase 
      the limitation on borrowing to 15% of total assets.                                      / / FOR    / / AGAINST   / / ABSTAIN
4.    Approval of the elimination of the Series' fundamental investment policy regarding 
      restricted and illiquid securities.                                                      / / FOR    / / AGAINST   / / ABSTAIN
5.    Approval of amendments to the Management Agreement to increase the Management 
      fee payable by the Fund.                                                                 / / FOR    / / AGAINST   / / ABSTAIN

</TABLE> 
 
                                            Dated __________________ , 1995

                                            _______________________________
                                            Signature

                                            _______________________________
                                            Signature (if jointly held)

                                            _______________________________ 
                                            Please sign exactly as your
                                            name(s) appear(s) on this
                                            proxy. Only one signature is
                                            required in case of a joint
                                            account. When signing in a
                                            representative capacity,
                                            please give title.
 
            THIS PROXY IS SOLICITED ON BEHALF OF THE TRUSTEES.

<PAGE>
PROXY
                   SELIGMAN U.S. GOVERNMENT SECURITIES SERIES
                                  A SERIES OF
                        SELIGMAN HIGH INCOME FUND SERIES
                      100 Park Avenue, New York, NY 10017
 
The undersigned, revoking previous proxies, acknowledges receipt of the Notice
of Meeting and Proxy Statement for the Special Meeting of Shareholders of
SELIGMAN U.S. GOVERNMENT SECURITIES SERIES, a series of SELIGMAN HIGH INCOME
FUND SERIES, to be held December 12, 1995 and appoints JOHN E. MEROW, WILLIAM
C. MORRIS and BRIAN T. ZINO (and each of them) proxies, with power of
substitution, to attend the Special Meeting (and any adjournments thereof) and
vote all shares the undersigned is entitled to vote upon the matters indicated
on the reverse side and on any other business that may properly come before the
Meeting.
 
THIS PROXY WHEN PROPERLY EXECUTED WILL BE VOTED IN THE MANNER DIRECTED BY THE
UNDERSIGNED. IF NO INSTRUCTIONS ARE GIVEN, YOUR PROXIES WILL VOTE FOR THE
ELECTION OF THE NOMINEES OF THE TRUSTEES AND FOR ALL PROPOSALS.
 
  YOUR VOTE IS IMPORTANT. PLEASE COMPLETE, SIGN ON THE REVERSE SIDE AND RETURN
                         THIS CARD AS SOON AS POSSIBLE.
                       MARK EACH VOTE WITH X IN THE BOX.
 
<PAGE>
- --------------------------------------------------------------------------------
        THE TRUSTEES RECOMMEND THAT YOU VOTE FOR EACH OF THE NOMINEES
                        AND FOR ALL PROPOSALS.
- --------------------------------------------------------------------------------
<TABLE>
<S>  <C>                               <C>                                         <C>
1.   ELECTION OF TRUSTEES              / / FOR all nominees                        / / WITHHOLD AUTHORITY TO VOTE
                                           (except as written on the line below).      for all nominees listed below.

     NOMINEES:  Fred E. Brown, John R. Galvin, Alice S. Ilchman, Frank A. McPherson, John E. Merow,
                Betsy S. Michel, William C. Morris, James C. Pitney, James Q. Riordan, Ronald T.
                Schroeder, Robert L. Shafer, James N. Whitson, Brian T. Zino
     (INSTRUCTIONS: To withhold authority to vote for any individual nominee write the nominee's name
     on the line below.)

- --------------------------------------------------------------------------------
</TABLE>

<TABLE>
<S>   <C>                                                                                    <C>         <C>            <C>
2.    Ratification of the selection of Deloitte & Touche LLP as Auditors.                    / / FOR     / / AGAINST    / / ABSTAIN

3.    Approval of the amendment of the Series' fundamental investment policy to 
      increase the limitation on borrowing to 15% of total assets.                           / / FOR     / / AGAINST    / / ABSTAIN
4.    Approval of the elimination of the Series' fundamental investment policy 
      regarding restricted and illiquid securities.                                          / / FOR     / / AGAINST    / / ABSTAIN
</TABLE> 
 
                                             Dated __________________ , 1995

                                             _______________________________ 
                                             Signature
 
                                             _______________________________
                                             Signature (if jointly held)
 
                                             _______________________________
                                             Please sign exactly as your
                                             name(s) appear(s) on this
                                             proxy. Only one signature is
                                             required in case of a joint
                                             account. When signing in a
                                             representative capacity,
                                             please give title.
 

               THIS PROXY IS SOLICITED ON BEHALF OF THE TRUSTEES





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