BURNHAM FUND INC
497, 1995-11-17
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                             THE BURNHAM FUND INC.
                       SUPPLEMENT DATED NOVEMBER 17, 1995
                       TO PROSPECTUS DATED APRIL 28, 1995
 
     On  page 7 in the Section 'Risk  Factors' after the first partial paragraph
on the right side of the page, the following paragraph is added:
 
          The Fund may invest temporarily up  to 5% of its assets in  repurchase
     agreements as further discussed in the Statement of Additional Information.
 
     On  page  16, the  last  paragraph of  the  section 'Management'  is hereby
revised as follows:
 
          Mr. Jon M. Burnham, President and Chief Executive Officer of the Fund,
     has the primary responsibility for the day-to-day management of the  Fund's
     investment  portfolio. Mr. I.W. Burnham is the Chairman of the Fund and the
     Honorary  Chairman  of  the  Adviser  and  Distributor.  The  Adviser   and
     Distributor  are owned and/or controlled by Messrs. I.W. Burnham and Jon M.
     Burnham.
 
<PAGE>
                             THE BURNHAM FUND INC.
                     SUPPLEMENT DATED NOVEMBER 17, 1995 TO
                      STATEMENT OF ADDITIONAL INFORMATION
                              DATED APRIL 28, 1995
 
     On page 4,  the following  paragraph is  added to  the section  'Investment
Techniques' before the paragraph entitled 'Lending Portfolio Securities':
 
          Repurchase Agreements. The Fund may enter into 'repurchase agreements'
     with  State  Street Bank  and Trust  Company (the  'Custodian'). Repurchase
     agreements are agreements pursuant  to which securities  are acquired by  a
     fund  from a third party with the understanding that the securities will be
     repurchased by the seller  at a fixed price  on an agreed date.  Repurchase
     agreements  permit  the  Fund to  keep  all  of its  assets  at  work while
     retaining  'overnight'  flexibility   in  pursuit  of   investments  of   a
     longer-term  nature.  The  use of  repurchase  agreements  involves certain
     risks. For example, in the event a seller of securities under a  repurchase
     agreement  defaults on its  repurchase obligation, the  Fund might suffer a
     loss to the extent that the proceeds  from the sale of the collateral  were
     less  than  the repurchase  price.  If the  seller  becomes the  subject of
     bankruptcy proceedings, the Fund might be delayed or incur additional costs
     in selling the collateral. Finally, it is possible that the Fund may not be
     able to substitute its interest  in the underlying securities. To  minimize
     these risks, the Fund requires continual maintenance of collateral with the
     Custodian in an amount equal to, or  in excess of, the market value of  the
     securities which are the subject of a repurchase agreement plus any accrued
     interest.
 
     On  pages 13-14, under the section 'Directors and Officers of the Fund' the
following changes are made:
 
          I.W. Burnham, II*, Chairman and Director.
 
          Jon M. Burnham,* President, Chief Executive Officer and Director.
 
          Debra B. Hyman, Executive Vice President.
 
          Michael E.  Barna,  First  Vice President,  Chief  Financial  Officer,
     Treasurer and Secretary.




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