SELIGMAN HIGH INCOME FUND SERIES
497, 1995-10-03
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     Supplement dated September 21, 1995, the Prospectus dated May 1, 1995
 of the High-Yield Bond Series of Seligman High Income Fund Series (the "Fund")

         Today the Fund's  Trustees  unanimously  approved  and  recommended  to
shareholders  for approval at a special  meeting of  shareholders  to be held on
December 12, 1995, proposed  amendments to the Management  Agreement between the
Fund and J. & W.  Seligman & Co.  Incorporated  (the  "Manager").  The  proposed
amendments would revise the fee schedule in the Management Agreement as follows:
pursuant to a new  schedule of  management  fees which would  apply,  subject to
shareholder approval, effective January 1, 1996, the Fund would pay a management
fee equal to an annual  rate of 0.65% on the first $1 billion  of average  daily
net assets of the Fund and 0.55% on the average  daily net assets of the Fund in
excess of $1 billion.  The current  practice of computing  management fees daily
and paying them monthly will remain unchanged.

     The following  replaces the "Annual Series Operating Expense" table and the
"Example" located on page 2 of the Fund's prospectus:

<TABLE>
<CAPTION>
Annual Series Operating Expenses for 1994                                                           Class A          Class D
(as a percentage of average net assets)
<S>                                                                                                  <C>               <C>

   Management Fees..............................................................                     .65%               .65%
   12b-1 Fees...................................................................                     .21%              1.00%
   Other Expenses...............................................................                     .42%               .67%
                                                                                                     ----              -----
   Total Fund Operating Expenses................................................                     1.28%             2.34%
                                                                                                     =====             =====
<CAPTION>

Example                                                                            1 year      3 years       5 years       10 years
                                                                                   ------      -------       -------       -------- 
You would pay the following  expenses on a $1,000  investment,  assuming (1) 5%
annual return and (2)  redemption  at the end of each time period:
<S>                                                                                 <C>           <C>          <C>            <C>
Class A.........................................................................    $70           $86          $114           $195
Class D.........................................................................    $34+          $73          $125           $268

</TABLE>

This  example  should  not be  considered  a  representation  of past or  future
expenses.  Actual  expenses  may be greater or less than those  shown and the 5%
annual return used in this example is a hypothetical rate.

+    Assuming  (i) 5% annual  return and (ii) no  redemption  at the end of year
     one, the expenses on a $1,000 investment would be $24.

         The current fee  arrangements  with the  Manager are  described  in the
Prospectus under the section entitled "Management Services."





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