INVESCO MULTIPLE ASSET FUNDS INC
497, 1999-02-08
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                  INVESCO COMBINATION STOCK & BOND FUNDS, INC.

                Supplement to Statement of Additional Information
                             dated December 1, 1998

The section of the INVESCO  Combination Stock & Bond Funds,  Inc.'s Statement of
Additional  Information  entitled  "The  Fund And Its  Management:  Sub-Advisory
Agreement" is amended to (1) delete the third paragraph,  and (2) substitute the
following new paragraph in its place:

     The Sub-Agreement provides that as compensation for its services, IMR shall
     receive  from  INVESCO,  at the end of each  month,  a fee  based  upon the
     average daily value of the Multi-Asset  Allocation  Fund's net assets.  The
     fee is calculated at the following annual rates:  prior to January 1, 1998,
     0.375% on the first $500 million of the Fund's  average net assets;  0.325%
     on the next $500 million of the Fund's average net assets; and 0.25% on the
     Fund's average net assets over $1 billion;  and effective  January 1, 1998,
     0.30% on the first $500 million of the Fund's average net assets;  0.26% on
     the next $500  million  of the Fund's  average  net assets and 0.20% on the
     Fund's average net assets in excess of $1 billion.  The Sub-Advisory fee is
     paid by INVESCO, NOT the Fund.

The date of this Supplement is February 5, 1999.




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