SUNAMERICA EQUITY FUNDS
497, 1998-12-01
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<PAGE>
 
                           "DOGS" OF WALL STREET FUND
 
                SUPPLEMENT TO THE PROSPECTUS DATED JUNE 1, 1998
 
  Effective December 1, 1998, Class II shares of the "Dogs" of Wall Street Fund
(the "Fund") will be subject to a contingent deferred sales charge of 1% on
certain redemptions of Class II shares made within eighteen months of the date
of purchase. This change will have no impact on shareholders purchasing Class
II shares prior to December 1, 1998.
 
  The third paragraph on page 1 of the Prospectus is replaced in its entirety
with the following:
 
    The Fund currently offers Class A, Class B and Class II shares. The
  offering price is the next-determined net asset value per share, plus for
  each class a sales charge which, at the investor's option may (i) be
  imposed at the time of purchase (Class A shares), (ii) be deferred (Class B
  shares and purchases of Class A shares in excess of $1million), or (iii)
  contain elements of a sales charge that is both imposed at the time of
  purchase and deferred (Class II shares). Class B shares may be subject to a
  declining contingent deferred sales charge ("CDSC") that may be imposed on
  redemptions made within six years of purchase. Class B shares of the Fund
  will convert automatically to Class A shares on the first business day of
  the month following the seventh anniversary of the issuance of such Class B
  shares. Class II shares may be subject to a CDSC imposed on redemptions
  made within eighteen months of purchase. Each class makes distribution and
  account maintenance and service fee payments under a distribution plan
  adopted pursuant to Rule 12b-1 under the Investment Company Act of 1940, as
  amended (the "1940 Act"). See "Purchase of Shares."
 
  Under the section entitled "SUMMARY OF FUND EXPENSES" on page 3 of the
Prospectus, the second footnote is replaced in its entirety with the following:
 
    (2) Purchases of Class A shares in excess of $1 million will be subject
  to a CDSC on redemption made within one year of purchase. The CDSC on Class
  B shares applies only if a redemption occurs within six years from their
  purchase date. The CDSC on Class II shares applies only on redemptions made
  within eighteen months of purchase.
 
  Under the section entitled "Purchase of Shares" on page 12 of the Prospectus,
the second paragraph in the first column is replaced in its entirety with the
following:
 
    CLASS II SHARES. Class II shares are offered at net asset value plus an
  initial sales charge as follows:
 
<TABLE>
<CAPTION>
                                         CONCESSION OF
                     SALES CHARGE           DEALERS
               ------------------------- --------------
                                 % OF
                    % OF      NET AMOUNT      % OF
               OFFERING PRICE  INVESTED  OFFERING PRICE
               -------------- ---------- --------------
         <S>   <C>            <C>        <C>
                   1.00%        1.01%        1.00%
</TABLE>
 
    Certain redemptions of Class II shares made within eighteen months of the
  date of purchase are subject to a CDSC of 1%. The method for calculating
  any such CDSC will be the same method used for calculating the CDSC for
  Class B shares. See "Class B Shares" above.
 
Dated: December 1, 1998


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