ANCHOR NATIONAL LIFE INSURANCE CO
424B3, 1999-01-04
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<PAGE>   1
                                             As filed pursuant to Rule 424(b)(3)
                                             under the Securities Act of 1933
                                             Registration No. 33-87864



                     ANCHOR NATIONAL LIFE INSURANCE COMPANY
                           VARIABLE SEPARATE ACCOUNT
                              (PORTION RELATING TO
                 THE POLARIS AND POLARIS II VARIABLE ANNUITIES)
- --------------------------------------------------------------------------------

                SUPPLEMENT TO THE PROSPECTUS DATED APRIL 1, 1998

     As of January 4, 1999, Massachusetts Financial Services Company ("MFS") 
replaces Phoenix Investment Counsel as the investment sub-adviser to the 
Growth/Phoenix Investment Counsel Portfolio and Balanced/Phoenix Investment 
Counsel Portfolio. The portfolios are renamed as MFS Growth and Income 
Portfolio and MFS Total Return Portfolio, respectively.

     Currently, the fee structure for management of the MFS Growth and Income 
Portfolio and the MFS Total Return Portfolio is the same as that of the Phoenix 
managed Portfolios for which MFS is the replacement adviser.

     Effective January 1, 1999, SunAmerica, Inc. merged with American 
International Group, Inc. ("AIG"), a Delaware Corporation. Anchor National Life 
Insurance Company is now an indirect, wholly-owned subsidiary of AIG.



Date:  January 4, 1999



               Please keep this Supplement with your Prospectus.


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