HENNESSY FUNDS INC
497, 1997-01-31
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                             HENNESSY BALANCED FUND

                          Supplement to the Prospectus

                             dated September 9, 1996


   HYPOTHETICAL PAST PERFORMANCE

             By utilizing our investment strategy, we seek to achieve returns
   that in the long run will be substantially similar to that of the DJIA but
   with less volatility.  The chart below illustrates the total return for
   each of the last twenty years of the DJIA and for a hypothetical portfolio
   consisting 50% of one-year Treasury bills and 50% of the ten highest
   yielding common stocks in the DJIA as of the beginning of each year (the
   "Model Portfolio").  The Model Portfolio was developed in a manner very
   similar to our investment strategy, but does not reflect the effects of
   cash flows in and out of the portfolio, the deduction of commissions and
   other expenses, and the reinvestment of dividends.  The performance of the
   Model Portfolio would have been lower if the fees and expenses borne by
   the Fund had been deducted.

                          Comparison of Total Return(1)

                               DJIA Total         Model Portfolio
            Year                 Return            Total Return  

            1977               -12.71%               2.75%
            1978                 2.69%               3.21%
            1979                10.52%              11.03%
            1980                21.41%              19.52%
            1981                -3.40%               9.39%
            1982                25.79%              19.43%
            1983                25.68%              23.66%
            1984                 1.06%               8.82%
            1985                32.78%              19.34%
            1986                26.91%              19.84%
            1987                 6.02%               6.01%
            1988                15.95%              14.99%
            1989                31.71%              17.75%
            1990                -0.57%               0.10%
            1991                23.93%              23.05%
            1992                 7.43%               5.99%
            1993                16.72%              15.44%
            1994                 4.95%               3.85%
            1995                36.40%              20.45%
            1996                28.90%              16.53%
          Average:              15.11%              13.05%

   _____________________________

   (1)  Total return represents the sum of the following components:  (a) the
        percentage change in value of each common stock from the first
        trading day on the New York Stock Exchange in a given year to the
        last trading day in that year; (b) the total dividends received in
        that year on each common stock divided by the market value of the
        common stock as of the first trading day in that year (without any
        dividend reinvestment); and (c) the yield on one-year U.S. Treasury
        bills as of the close of the first trading day in that year.  Total
        return does not take into consideration any commissions, expenses or
        taxes, and does not include reinvestment of dividends.

             The returns shown above are not guarantees of future performance
   and should not be used as a predictor of returns to be expected in
   connection with an investment in the Fund.  As indicated above, the Model
   Portfolio has both outperformed and underperformed the DJIA in the last
   twenty years.  There is no assurance that the investment returns of the
   Fund will exceed that of the DJIA.

             The performance information shown above was compiled by the
   Adviser from statistical services, reports, or other sources believed by
   the Adviser to be reliable.  Such information has not been verified by any
   third party and is unaudited.

             While the foregoing information is relevant to an investor's
   decision to invest in the Fund, investors should be aware that the Fund's
   performance will not be identical to that of the Model Portfolio for a
   number of reasons including the fact that we (a) will reinvest dividends;
   (b) have expenses; (c) purchase and sell investments continuously; and (d)
   may not be able to be fully invested or invest in the exact proportions of
   the Model Portfolio at all times.

                The date of this Supplement is February 3, 1997.

   [For EDGAR users -- The information contained in this Supplement was
   initially filed in the Fund's registration statement on Form N-1A and
   reviewed by the Securities and Exchange Commission.]



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