As filed pursuant to Rule 424(b)(3)
                                             under the Securities Act of 1933
                                             Registration No. 33-87864


                     ANCHOR NATIONAL LIFE INSURANCE COMPANY
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                            VARIABLE SEPARATE ACCOUNT
             (PORTION RELATING TO THE WM DIVERSIFIED STRATEGIES AND
              THE WM DIVERSIFIED STRATEGIES III VARIABLE ANNUITIES)
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                   SUPPLEMENT TO THE WM DIVERSIFIED STRATEGIES
                          PROSPECTUS DATED JULY 9, 2001

                 SUPPLEMENT TO THE WM DIVERSIFIED STRATEGIES III
                        PROSPECTUS DATED NOVEMBER 1, 2001

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    On December 5, 2001, the Board of Trustees of WM Variable Trust ("Trust")
    approved the addition of two sub-advisors to manage the Growth Fund series
    of the Trust. The addition of Columbia Management Company ("Columbia") and
    OppenheimerFunds, Inc. ("Oppenheimer") to join Janus Capital Corporation
    ("Janus") as sub-advisors to the Growth Fund series is subject to
    shareholder approval. If approved, the following change will become
    effective on March 1, 2002:

    All references to the Growth Fund sub-advisor throughout the prospectus
    refer to (i) Columbia, (ii) Oppenheimer, and (iii) Janus. This change will
    not affect the investment objective of the Growth Fund.

    On December 5, 2001, the Board of Trustees of the Trust also approved
    changes to the region of investment focus (adding California) and name of
    the Growth Fund of the Northwest series of the Trust. Effective March 1,
    2002, the fund's name will be the West Coast Equity Fund. The following
    changes to the prospectus will become effective on March 1, 2002:

    All references to the "Growth Fund of the Northwest" throughout the
    prospectus are replaced with "West Coast Equity Fund."

                PLEASE KEEP THIS SUPPLEMENT WITH YOUR PROSPECTUS.

Date:   January 22, 2002