DREYFUS APPRECIATION FUND INC
N-30D, 1997-03-06
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<PAGE>
Dreyfus
Appreciation
Fund, Inc.
Annual Report


December 31, 1996

<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
Letter to Shareholders

Dear Shareholder:

   We are pleased to provide you with this annual report on the activity of the
Dreyfus Appreciation Fund, Inc. for the twelve-month period ended December 31,
1996. For the fiscal year, the Fund provided a total return of 25.68%.* During
the same period, the Standard & Poor's 500 Composite Stock Price Index returned
22.95%.**

PORTFOLIO COMPOSITION
   At the close of the year, the Fund was fully invested in equities. Industry
concentrations were in consumer non-durables, technology, health care and
financial services.

ECONOMIC OUTLOOK
   The U.S. economy has expanded over a period of 70 months in the current
economic cycle. We believe the expansion has become more balanced than was the
case in the first half of 1996, when GDP growth exceeded a sustainable,
noninflationary pattern. Overall, we expect the economy to remain relatively
healthy, with an average annual GDP of about 1.5%-2.0% in the first half of
1997, and a somewhat stronger rate of growth later in the year, as lower
interest rates contribute to a pickup in demand and inventories are rebuilt. We
believe the yield curve will continue to flatten, with short-term rates
declining slightly from current levels, and the rate on the 30-year bond
breaking below 6.0%. In our view, inflation as measured by the GDP price
deflator will increase at an annual rate of 2.2% in 1997. Export growth should
pick up from current levels as our trading partners' economies improve. The
consumer, who has been fueling growth, is reliquifying balance sheets from
historically high debt levels, and bank lending has become more selective. A
sharp credit contraction reflects this trend, which is weakening demand. In a
related development, demographic trends support a continued rise in the U.S.
savings rate. Involuntary inventory accumulation also suggests weaker production
and declining employment growth in the first half of 1997. Corporate profits may
continue to improve but with some deceleration. In our view, earnings growth
will become ever more selective.

INVESTMENT STRATEGY
   In the mature phase of a protracted economic cycle, corporate profit growth
comes under more and more pressure. We believe investors will increasingly favor
industry sectors which are less vulnerable to a sharp falloff in demand, and
will seek those companies which can be expected to achieve above average
earnings growth from expanding global market share. Technological innovation and
new product development will also drive sales, both domestically and abroad. To
a lesser extent but still a factor, corporate restructuring and cost cutting
will continue to foster margin expansion. Our investment strategy has led to
structuring the portfolio to seek to outperform the S&P 500 Composite Stock
Price Index in an indefinite period of extended moderate growth among the more
mature economies, and to seek to benefit from exposure to high relative growth
among the newly industrialized and emerging economies in the decades ahead.
Companies with competitive positioning, through branded products and franchises
and proprietary technologies and innovative services, should command a market
premium. In our view, the highest quality companies which have, and can attract,
world class management teams with vision, and have excess cash flow and strong
balance sheets, can take advantage of the challenges and uncertainties which
these evolving dynamics present.

<PAGE>
INVESTMENT HIGHLIGHTS
   The performance of U.S. equity markets surpassed even the most optimistic
forecasts in 1996. From a long-term and fundamental perspective, it is clear
that the aggregate total return of the S&P 500 of 69.09% for 1995 and 1996*** is
well in excess of the historical trend. However, we continue to expect high
average annual total returns for the near future. Our investment strategy, keyed
to high quality growth companies which are global industry leaders and
innovators, contributed most significantly to the Fund's absolute and relative
performance.
   Investor sentiment has swung in favor of the large capitalization,
multinational issues, as investment time horizons have lengthened toward
retirement needs, and in an effort to capture the highest total returns.
Individual stock selection and strategic emphasis also affected performance
favorably in 1996. As corporate profits become more selective, and consistent
earnings growth is at a premium, we expect that equity markets will reflect this
selectivity, and investors will increasingly understand that they should look at
a market of stocks, rather than the stock market in general. We expect the
two-tier profile of the market will persist, and that lower quality, smaller
capitalization companies and the more illiquid issues will underperform the
higher quality, more visible companies. The consumer non-durables sector
contributed the most to the Fund's outperforming the Index and was led by shares
of Coca-Cola, Philip Morris, Gillette and Procter & Gamble. The technology
sector was the second best group in the Fund, led by shares of Intel and General
Electric. Financial services was the third best sector in the Fund, led by
shares of Citicorp, Chase Manhattan, SunTrust Banks and Federal National
Mortgage Association.
   We appreciate your investment in the Dreyfus Appreciation Fund and we will
continue to seek rewarding returns on your behalf.

                                                 Sincerely,


                                                 Fayez Sarofim Signature Logo

                                                 Fayez Sarofim
                                                 Portfolio Manager

January 21, 1997
New York, N.Y.

  * Total return includes reinvestment of dividends and any capital gains paid.
 ** SOURCE: LIPPER ANALYTICAL SERVICES, INC.--Reflects the reinvestment of
    income dividends and, where applicable, capital gain distributions. The
    Standard & Poor's 500 Composite Stock Price Index is a widely accepted
    unmanaged index of U.S.stock market performance.
*** SOURCE: LIPPER ANALYTICAL SERVICES, INC.--Assumes the monthly reinvestment
    of all dividends.


<PAGE>
Dreyfus Appreciation Fund, Inc.                                December 31, 1996
- --------------------------------------------------------------------------------

  COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN DREYFUS APPRECIATION
     FUND, INC. AND THE STANDARD & POOR'S 500 COMPOSITE STOCK PRICE INDEX

                     $70,611 Dreyfus Appreciation Fund
                     $69,153 Standard & Poor's 500 Composite Stock Price Index*
INSERT PLOT POINTS HERE

*Source: Lipper Analytical Services, Inc.

Average Annual Total Returns
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>

       One Year Ended             Five Years Ended            Ten Years Ended        From Inception (1/18/84)
      December 31, 1996           December 31, 1996          December 31, 1996         to December 31, 1996
      -----------------           -----------------          -----------------       ------------------------
      <S>                         <C>                        <C>                     <C>
           25.68%                      13.60%                     14.84%                      16.29%

<FN>
- --------------------------------
Past performance is not predictive of future performance.

The above graph compares a $10,000 investment made in Dreyfus Appreciation Fund,
Inc. on 1/18/84 (Inception Date) to a $10,000 investment made in the Standard &
Poor's 500 Composite Stock Price Index on that date. For comparative purposes,
the value of the Index on 1/31/84 is used as the beginning value on 1/18/84. All
dividends and capital gain distributions are reinvested.

The Fund's performance
shown in the line graph takes into account all applicable fees and expenses. The
Standard and Poor's 500 Composite Stock Price Index is a widely accepted,
unmanaged index of overall stock market performance, which does not take into
account charges, fees and other expenses. Further information relating to Fund
performance, including expense reimbursements, if applicable, is contained in
the Financial Highlights section of the Prospectus and elsewhere in this report.

</TABLE>


<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
Statement of Investments                                       December 31, 1996

<TABLE>
<CAPTION>

Common Stocks--103.4%                                                                     Shares        Value
- --------------------------------------------------------------------------------        ----------  ------------
<S>                                    <C>                                              <C>         <C>
       Aerospace & Electronics--14.3%  Boeing...................................         109,450    $ 11,642,744
                                       Emerson Electric.........................          85,000       8,223,750
                                       General Electric.........................         360,000      35,595,000
                                       Hewlett-Packard..........................         275,000      13,818,750
                                       Intel....................................         250,000      32,734,375
                                       Motorola.................................          80,000       4,910,000
                                       Rockwell International...................         225,000      13,696,875
                                                                                                  --------------
                                                                                                     120,621,494
                                                                                                  --------------

                        Apparel--1.3%  NIKE, Cl. B..............................         120,000       7,170,000
                                       Warnaco Group, Cl. A.....................         130,000       3,851,250
                                                                                                  --------------
                                                                                                      11,021,250
                                                                                                  --------------

                   Auto Related--3.6%  Chrysler.................................         400,000      13,200,000
                                       Ford Motor...............................         549,905      17,528,222
                                                                                                  --------------
                                                                                                      30,728,222
                                                                                                  --------------

                        Banking--8.5%  Chase Manhattan..........................         280,000      24,990,000
                                       Citicorp.................................         250,000      25,750,000
                                       HSBC Holdings, A.D.R. ...................          35,000       7,560,000
                                       SunTrust Banks...........................         275,000      13,543,750
                                                                                                  --------------
                                                                                                      71,843,750
                                                                                                  --------------

                  Capital Goods--2.3%  AlliedSignal.............................         160,000      10,720,000
                                       Caterpillar..............................         110,000       8,277,500
                                                                                                  --------------
                                                                                                      18,997,500
                                                                                                  --------------

                      Chemicals--3.5%  Dow Chemical.............................          80,000       6,270,000
                                       duPont (E.I.) de Nemours & Co ...........         200,000      18,875,000
                                       Rohm & Haas..............................          50,000       4,081,250
                                                                                                  --------------
                                                                                                      29,226,250
                                                                                                  --------------

                        Energy--11.1%  British Petroleum, A.D.S.  ..............         130,000      18,378,750
                                       Chevron..................................         270,000      17,550,000
                                       Exxon....................................         220,000      21,560,000
                                       Mobil....................................         140,000      17,115,000
                                       Pennzoil.................................          10,000         565,000
                                       Royal Dutch Petroleum (New York Shares)..         110,000      18,782,500
                                                                                                  --------------
                                                                                                      93,951,250
                                                                                                  --------------

                        Finance--6.1%  American General.........................         300,000      12,262,500
                                       Associates First Capital, Cl. A..........          42,500       1,875,312
                                       Berkshire Hathaway, Cl. A.............(a)             400      13,640,000
                                       Federal National Mortgage Association....         300,000      11,175,000
                                       Marsh & McLennan.........................         125,000      13,000,000
                                                                                                  --------------
                                                                                                      51,952,812
                                                                                                  --------------

<PAGE>
Dreyfus Appreciation Fund, Inc.
- -------------------------------------------------------------------------------
Statement of Investments (continued)                          December 31, 1996

Common Stocks (continued)                                                                 Shares        Value
- --------------------------------------------------------------------------------        ----------  ------------
      Food, Beverage & Tobacco--14.7%  Anheuser-Busch ..........................         140,000     $ 5,600,000
                                       Coca-Cola................................         850,000      44,731,250
                                       Kellogg..................................         130,000       8,531,250
                                       Nestle, A.D.R.  .........................         225,000      12,037,500
                                       PepsiCo..................................         575,000      16,818,750
                                       Philip Morris ...........................         325,000      36,603,125
                                                                                                  --------------
                                                                                                     124,321,875
                                                                                                  --------------

                   Health Care--15.3%  Abbott Laboratories......................         250,000      12,687,500
                                       American Home Products...................         290,000      17,001,250
                                       Amgen.................................(a)         120,000       6,525,000
                                       Johnson & Johnson........................         500,000      24,875,000
                                       Merck & Co...............................         325,000      25,756,250
                                       Pfizer...................................         285,000      23,619,375
                                       Roche Holding, A.D.R. ...................         220,000      17,132,500
                                       Schering-Plough..........................          28,000       1,813,000
                                                                                                  --------------
                                                                                                     129,409,875
                                                                                                  --------------

                   Leisure Time--3.6%  Disney (Walt)............................         120,000       8,355,000
                                       Eastman Kodak............................         150,000      12,037,500
                                       McDonald's...............................         225,000      10,181,250
                                                                                                  --------------
                                                                                                      30,573,750
                                                                                                  --------------

                           Media--.9%  McGraw-Hill..............................         110,000       5,073,750
                                       News, A.D.R. ............................         120,000       2,505,000
                                                                                                  --------------
                                                                                                       7,578,750
                                                                                                  --------------

                 Multi-Industry--1.5%  Minnesota Mining & Manufacturing.........         150,000      12,431,250
                                                                                                  --------------

    Office & Business Equipment--1.3%  Compaq Computer.......................(a)         150,000      11,137,500
                                                                                                  --------------

                  Personal Care--9.4%  Christian Dior...........................          70,000      11,289,017
                                       Estee Lauder, Cl. A......................         150,000       7,631,250
                                       Gillette.................................         320,000      24,880,000
                                       International Flavors & Fragrances.......         135,000       6,075,000
                                       Procter & Gamble.........................         235,000      25,262,500
                                       Unilever, N.V. (New York Shares).........          25,000       4,381,250
                                                                                                  --------------
                                                                                                      79,519,017
                                                                                                  --------------

                         Retail--2.8%  American Stores..........................          80,000       3,270,000
                                       May Department Stores....................          50,000       2,337,500
                                       Wal-Mart Stores..........................         300,000       6,862,500
                                       Walgreen.................................         285,000      11,400,000
                                                                                                  --------------
                                                                                                      23,870,000
                                                                                                  --------------
<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
Statement of Investments (continued)                           December 31, 1996

Common Stocks (continued)                                                                 Shares        Value
- --------------------------------------------------------------------------------        ----------  ------------
                 Transportation--1.6%  Norfolk Southern.........................         150,000   $  13,125,000
                                                                                                  --------------

                      Utilities--1.6%  Pacific Telesis Group....................         375,000      13,781,250
                                                                                                  --------------

                                       TOTAL COMMON STOCKS
                                         (cost $614,389,132)....................                    $874,090,795
                                                                                                  ==============


Preferred Stocks--.6%
- --------------------------------------------------------------------------------
                              Media;   News, A.D.R.
                                         (cost $5,123,984)......................         300,000  $    5,287,500
                                                                                                  ==============

TOTAL INVESTMENTS (cost $619,513,116)...........................................          104.0%  $  879,378,295
                                                                                         =======  ==============
LIABILITIES, LESS CASH AND RECEIVABLES..........................................           (4.0%) $  (33,881,673)
                                                                                         =======  ==============
NET ASSETS......................................................................          100.0%  $  845,496,622
                                                                                         =======  ==============
<FN>
Notes to Statement of Investments:
- --------------------------------------------------------------------------------
(a) Non-income producing.

</TABLE>

                       See notes to financial statements.


<PAGE>
Dreyfus Appreciation Fund, Inc.
- -------------------------------------------------------------------------------
Statement of Assets and Liabilities                           December 31, 1996

<TABLE>
<CAPTION>
                                                                                                 Cost            Value
                                                                                             ____________    ____________
<S>                           <C>                                                            <C>             <C>
ASSETS:                       Investments in securities--See Statement of Investments        $619,513,116    $879,378,295
                              Cash.............................................                                 2,568,393
                              Dividends and interest receivable................                                 1,327,862
                              Receivable for subscriptions to Common Stock.....                                   441,639
                              Prepaid expenses.................................                                    93,797
                                                                                                             ------------
                                                                                                              883,809,986
                                                                                                             ------------

LIABILITIES:                  Due to The Dreyfus Corporation and affiliates....                                   336,813
                              Due to Fayez Sarofim & Co........................                                   189,048
                              Due to Distributor...............................                                    80,027
                              Payable for Common Stock redeemed................                                33,399,138
                              Bank Loan payable--Note 2.........................                                4,000,000
                              Interest payable.................................                                     2,082
                              Accrued expenses.................................                                   306,256
                                                                                                             ------------
                                                                                                               38,313,364
                                                                                                             ------------


NET ASSETS.....................................................................                              $845,496,622
                                                                                                             ============


REPRESENTED BY:               Paid-in capital..................................                              $585,850,040
                              Accumulated undistributed investment income--net..                                  123,595
                              Accumulated net realized gain (loss) on investments                                (342,192)
                              Accumulated net unrealized appreciation (depreciation)
                                on investments--Note 4..........................                              259,865,179
                                                                                                             ------------


NET ASSETS.....................................................................                              $845,496,622
                                                                                                             ============


SHARES OUTSTANDING.............................................................                                33,050,284
(100 million shares of $.01 par value Common Stock authorized)


NET ASSET VALUE, offering and redemption price per share.......................                                    $25.58
                                                                                                                   ======
</TABLE>


                       See notes to financial statements.

<PAGE>
Dreyfus Appreciation Fund, Inc.
- ------------------------------------------------------------------------------
Statement of Operations                           Year Ended December 31, 1996

<TABLE>

INVESTMENT INCOME


<S>                           <C>                                                              <C>              <C>
INCOME:                       Cash dividends (net of $199,229 foreign taxes
                                withheld at source)............................                $ 13,209,148
                              Interest.........................................                   1,195,146
                                                                                               ------------
                                   Total Income................................                                 $  14,404,294

EXPENSES:                     Investment advisory fee--Note 3(a)................                  1,936,123
                              Sub-investment advisory fee--Note 3(a)...........                   1,591,123
                              Shareholder servicing costs--Note 3(b)............                  1,966,087
                              Registration fees................................                     115,674
                              Professional fees................................                      72,537
                              Custodian fees--Note 3(b).........................                     59,861
                              Prospectus and shareholders' reports.............                      41,153
                              Directors' fees and expenses--Note 3(c)..........                      33,017
                              Interest expense--Note 2.........................                       2,082
                              Miscellaneous....................................                       8,437
                                                                                               ------------
                                   Total Expenses..............................                                     5,826,094
                                                                                                                 ------------
INVESTMENT INCOME--NET..........................................................                                    8,578,200



REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--Note 4:

                              Net realized gain (loss) on investments ........                 $  3,060,053
                              Net unrealized appreciation (depreciation)
                                on investments.................................                 136,758,813
                                                                                               ------------


NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS........................                                    139,818,866
                                                                                                                 ------------

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS..........................                                   $148,397,066
                                                                                                                 ============

</TABLE>

                       See notes to financial statements.


<PAGE>
Dreyfus Appreciation Fund, Inc.
- ------------------------------------------------------------------------------
Statement of Changes in Net Assets

<TABLE>
<CAPTION>
                                                                                              Year Ended         Year Ended
                                                                                          December 31, 1996    December 31, 1995
                                                                                          -----------------    -----------------
<S>                                                                                       <C>                  <C>
OPERATIONS:
  Investment income--net.......................................................            $   8,578,200        $   7,205,402
  Net realized gain (loss) on investments.....................................                 3,060,053           (3,334,873)
  Net unrealized appreciation (depreciation) on investments...................               136,758,813           96,268,609
                                                                                           -------------        -------------

      Net Increase (Decrease) in Net Assets Resulting from Operations.........               148,397,066          100,139,138
                                                                                           -------------        -------------

DIVIDENDS TO SHAREHOLDERS FROM:
  Investment income--net.......................................................               (8,454,676)          (7,254,131)
  Net realized gain on investments............................................                     --                (450,655)
                                                                                            ------------        -------------

      Total Dividends.........................................................                (8,454,676)          (7,704,786)
                                                                                            -------------       -------------

CAPITAL STOCK TRANSACTIONS:
  Net proceeds from shares sold...............................................               955,936,798          316,317,434
  Dividends reinvested........................................................                 7,839,218            7,319,942
  Cost of shares redeemed.....................................................              (715,488,852)        (192,263,401)
                                                                                           -------------        -------------

      Increase (Decrease) in Net Assets from Capital Stock Transactions.......               248,287,164          131,373,975
                                                                                           -------------        -------------

        Total Increase (Decrease) in Net Assets...............................               388,229,554          223,808,327

NET ASSETS:
  Beginning of Period.........................................................               457,267,068          233,458,741
                                                                                           -------------        -------------
  End of Period...............................................................             $ 845,496,622        $ 457,267,068
                                                                                           =============        =============
Undistributed investment income--net...........................................            $     123,595        $          71
                                                                                           -------------        -------------

                                                                                               Shares               Shares
                                                                                           -------------        -------------
CAPITAL SHARE TRANSACTIONS:
  Shares sold.................................................................                40,260,066           17,110,923
  Shares issued for dividends reinvested......................................                   301,519              362,104
  Shares redeemed.............................................................               (29,767,862)         (10,606,835)
                                                                                           -------------        -------------

      Net Increase (Decrease) in Shares Outstanding...........................                10,793,723            6,866,192
                                                                                           =============        =============

</TABLE>

                       See notes to financial statements.


<PAGE>
Dreyfus Appreciation Fund, Inc.
- ------------------------------------------------------------------------------
Financial Highlights

 Contained below is per share operating performance data for a share of Common
Stock outstanding, total investment return, ratios to average net assets and
other supplemental data for each period indicated. This information has been
derived from the Fund's financial statements.

<TABLE>
<CAPTION>

                                                                          Year Ended December 31,
                                                        ----------------------------------------------------------
PER SHARE DATA:                                           1996         1995         1994          1993       1992
                                                        -------       ------       ------        ------     ------
<S>                                                     <C>           <C>          <C>           <C>        <C>
   Net asset value, beginning of period...............   $20.55       $15.17       $14.92        $15.15     $14.67
                                                         ------       ------       ------        ------     ------
   Investment Operations:
   Investment income--net..............................     .25          .33          .28           .24        .17
   Net realized and unrealized gain (loss)
      on investments..................................     5.03         5.42          .26          (.14)       .52
                                                         ------       ------       ------        ------     ------
   Total from Investment Operations...................     5.28         5.75          .54           .10        .69
                                                         ------       ------       ------        ------     ------
   Distributions:
   Dividends from investment income--net...............    (.25)        (.34)        (.28)         (.24)      (.13)
   Dividends in excess of investment income--net.......     --           --           --           (.03)       --
   Dividends from net realized gain on investments....      --          (.03)        (.01)         (.03)      (.08)
   Dividends in excess of net realized gain on investments  --           --           --           (.03)       --
                                                         ------       ------       ------        ------     ------
         Total Distributions..........................     (.25)        (.37)        (.29)         (.33)      (.21)
                                                         ------       ------       ------        ------     ------
   Net asset value, end of period.....................   $25.58       $20.55       $15.17        $14.92     $15.15
                                                         ======       ======       ======        ======     ======
TOTAL INVESTMENT RETURN...............................    25.68%       37.89%        3.62%          .71%      4.62%

RATIOS/SUPPLEMENTAL DATA:
   Ratio of expenses to average net assets............      .91%         .92%         .96%         1.07%      1.14%
   Ratio of net investment income
      to average net assets...........................     1.34%        2.28%        1.86%         1.66%      1.46%
   Portfolio Turnover Rate............................     4.84%        4.51%        6.58%         9.65%      2.84%
   Average commission rate paid*......................   $.0633          --           --            --         --
   Net Assets, end of period (000's Omitted).......... $845,497     $457,267     $233,459      $237,018   $207,627

<FN>
- -------------------------------------------------------------------------------
*For fiscal years beginning January 1, 1996, the Fund is required to disclose
 its average commission rate paid per share for purchases and sales of
 investment securities.

</TABLE>

                       See notes to financial statements.


<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:
   Dreyfus  Appreciation  Fund, Inc. (the "Fund") is registered  under the
Investment  Company Act of 1940 ("Act") as a diversified open-end  management
investment  company.  The Fund's  investment  objective is to provide investors
with long-term capital growth consistent with the preservation of capital. The
Dreyfus Corporation  ("Dreyfus") serves as the Fund's investment adviser.
Dreyfus is a direct subsidiary of Mellon Bank, N.A. ("Mellon"). Fayez Sarofim
& Co. ("Sarofim") serves as the Fund's sub-investment adviser.  Premier Mutual
Fund Services, Inc. (the "Distributor") acts as the distributor of the Fund's
shares, which are sold to the public without a sales load.

   The Fund's  financial  statements  are prepared in accordance  with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

   (a) Portfolio  valuation:  Investments  in securities  are valued at the last
sales price on the  securities  exchange on which such  securities are primarily
traded or at the last sales price on the national securities market.  Securities
not listed on an exchange or the national  securities  market, or securities for
which there were no  transactions,  are valued at the average of the most recent
bid and  asked  prices.  Bid  price is used  when no asked  price is  available.
Investments  denominated in foreign currencies are translated to U.S. dollars at
the prevailing rates of exchange.

   (b) Securities  transactions and investment income:  Securities  transactions
are  recorded  on a trade date  basis.  Realized  gain and loss from  securities
transactions  are  recorded on the  identified  cost basis.  Dividend  income is
recognized  on the  ex-dividend  date  and  interest  income,  including,  where
applicable,  amortization  of discounts on  investments,  is  recognized  on the
accrual basis.

   (c)  Dividends to  shareholders:  Dividends  are recorded on the  ex-dividend
date.  Dividends  from  investment  income-net  and dividends  from net realized
capital gain are  normally  declared  and paid  annually,  but the Fund may make
distributions  on  a  more  frequent  basis  to  comply  with  the  distribution
requirements  of the  Internal  Revenue  Code.  To the extent that net  realized
capital gain can be offset by capital loss  carryovers,  it is the policy of the
Fund not to distribute such gain.

   (d) Federal income taxes: It is the policy of the Fund to continue to qualify
as a  regulated  investment  company,  if  such  qualification  is in  the  best
interests of its  shareholders,  by complying with the applicable  provisions of
the  Internal  Revenue  Code,  and  to  make  distributions  of  taxable  income
sufficient to relieve it from substantially all Federal income and excise taxes.

   The Fund has an unused  capital  loss  carryover  of  approximately  $275,000
available  for  Federal  income tax  purposes to be applied  against  future net
securities  profits,  if any,  realized  subsequent to December 31, 1996. If not
applied, the carryover expires in fiscal 2003.

NOTE 2--Bank Line of Credit:
   The Fund  participates  with other  Dreyfus-managed  funds in a $100  million
unsecured  line of credit  primarily to be utilized  for  temporary or emergency
purposes,  including  the financing of  redemptions.  Interest is charged to the
Fund at rates which are related to the Federal  Funds rate in effect at the time
of  borrowings.  Outstanding  borrowings  on December 31,  1996,  amounted to $4
million.

<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
NOTES TO FINANCIAL STATEMENTS (continued)

   The average  daily amount of borrowings  outstanding  during the period ended
December 31, 1996 was $33,880, with related weighted average annualized interest
rate of 6.15%.  The maximum amount  borrowed at any time during the period ended
December 31, 1996 was $4 million.


NOTE 3--Investment Advisory Fee, Sub-Investment Advisory Fee and Other
        Transactions With Affiliates:

   (a) Fees  payable by the Fund  pursuant to the  provisions  of an  Investment
Advisory  Agreement with Dreyfus and a  Sub-Investment  Advisory  Agreement with
Sarofim  (together  "Agreements")  are payable monthly,  computed on the average
daily value of the Fund's net assets at the following annual rates:

<TABLE>
<CAPTION>

                    Average Net Assets                          Dreyfus             Sarofim
                    ------------------                          -------             -------
                    <S>                                         <C>                 <C>
                    0 up to $25 million.................        .44 of 1%          .11 of 1%
                    $25 up to $75 million...............        .37 of 1%          .18 of 1%
                    $75 up to $200 million..............        .33 of 1%          .22 of 1%
                    $200 up to $300 million.............        .29 of 1%          .26 of 1%
                    In excess of $300 million...........        .275 of 1%         .275 of 1%

</TABLE>

   (b) The Fund  adopted  a  Shareholder  Services  Plan,  pursuant  to which it
reimburses  (a) the  Distributor  for payments  made for  servicing  shareholder
accounts  ("Servicing")  and  (b)  Dreyfus,   Dreyfus  Service  Corporation,   a
wholly-owned  subsidiary  of Dreyfus,  and any  affiliate  of either of them for
payments made for Servicing,  at an aggregate  annual rate of up to .20 of 1% of
the value of the Fund's average daily net assets.  Each of the  Distributor  and
Dreyfus  or its  affiliates  may pay one or more  Service  Agents (a  securities
dealer,  financial institution or other industry  professional) a fee in respect
of the Fund's  shares owned by  shareholders  with whom the Service  Agent has a
Servicing  relationship or for whom the Service Agent is the dealer or holder of
record.  During  the  period  ended  December  31,  1996,  the Fund was  charged
$1,282,635 pursuant to the Shareholder Services Plan.

   The Fund compensates  Dreyfus  Transfer,  Inc., a wholly-owned  subsidiary of
Dreyfus,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities to perform  transfer agency services for the Fund. Such  compensation
amounted to $313,234 during the period ended December 31, 1996.

   Effective May 10, 1996, the Fund entered into a custody agreement with Mellon
to provide custodial services for the Fund. During the period ended December 31,
1996, $36,986 was paid to Mellon pursuant to the custody agreement.

   (c) Each  director  who is not an  "affiliated  person" as defined in the Act
receives from the Fund an annual fee of $2,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
NOTES TO FINANCIAL STATEMENTS (continued)

NOTE 4--Securities Transactions:

   The  aggregate  amount  of  purchases  and  sales of  investment  securities,
excluding  short-term  securities,  during the period  ended  December 31, 1996,
amounted to $337,477,763 and $30,074,511, respectively.

   At December 31, 1996, accumulated net unrealized  appreciation on investments
was $259,865,179,  consisting of $261,520,106 gross unrealized  appreciation and
$1,654,927 gross unrealized depreciation.

   At December 31, 1996, the cost of investments for Federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).

<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
Report of Ernst & Young LLP, Independent Auditors

Shareholders and Board of Directors
Dreyfus Appreciation Fund, Inc.

   We have  audited the  accompanying  statement  of assets and  liabilities  of
Dreyfus Appreciation Fund, Inc.,  including the statement of investments,  as of
December 31, 1996,  and the related  statement of  operations  for the year then
ended,  the  statement of changes in net assets for each of the two years in the
period then ended,  and  financial  highlights  for each of the years  indicated
therein.   These   financial   statements  and  financial   highlights  are  the
responsibility  of the Fund's  management.  Our  responsibility is to express an
opinion on these  financial  statements  and financial  highlights  based on our
audits.
   We  conducted  our audits in  accordance  with  generally  accepted  auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether the  financial  statements  and  financial
highlights are free of material misstatement.  An audit includes examining, on a
test basis,  evidence  supporting  the amounts and  disclosures in the financial
statements.  Our procedures  included  verification by examination of securities
held by the custodian as of December 31, 1996 and confirmation of securities not
held by the  custodian by  correspondence  with others.  An audit also  includes
assessing the  accounting  principles  used and  significant  estimates  made by
management,  as well as evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for our opinion.
   In our opinion, the financial statements and financial highlights referred to
above  present  fairly,  in all material  respects,  the  financial  position of
Dreyfus  Appreciation  Fund,  Inc.  at  December  31,  1996,  the results of its
operations  for the year then  ended,  the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the  indicated   years,  in  conformity  with  generally   accepted   accounting
principles.

                                                     Ernst & Young LLP


New York, New York
February 3, 1997



<PAGE>
Dreyfus Appreciation Fund, Inc.
- --------------------------------------------------------------------------------
Important Tax Information (Unaudited)

  In accordance with Federal tax law, the Fund designates 100% of the ordinary
dividends paid during the fiscal year ended December 31, 1996 as qualifying for
the corporate dividends received deduction.

<PAGE>
Dreyfus Appreciation Fund, Inc.
200 Park Avenue
New York, NY 10166

Investment Adviser
The Dreyfus Corporation
200 Park Avenue
New York, NY 10166

Sub-Investment Adviser
Fayez Sarofim & Co.
Two Houston Center,
Suite 2907
Houston, TX 77010

Custodian
Mellon Bank, N.A.
One Mellon Bank Center
Pittsburgh, PA 15258

Transfer Agent &
Dividend Disbursing Agent
Dreyfus Transfer, Inc.
P.O. Box 9671
Providence, RI 02940








Printed in U.S.A.                     141AR9612


 COMPARISON OF CHANGE IN VALUE OF $10,000
 INVESTMENT IN DREYFUS APPRECIATION FUND, INC.
 AND THE STANDARD & POOR'S 500 COMPOSITE STOCK
 PRICE INDEX

 EXHIBIT A:
                   STANDARD
                 & POOR'S 500      DREYFUS
    PERIOD      COMPOSITE STOCK APPRECIATION
                 PRICE INDEX *       FUND

    1/18/84              10,000        10,000
   12/31/84              10,687        11,374
   12/31/85              14,078        15,389
   12/31/86              16,705        17,702
   12/31/87              17,582        18,514
   12/31/88              20,494        21,590
   12/31/89              26,976        27,463
   12/31/90              26,137        26,960
   12/31/91              34,082        37,321
   12/31/92              36,676        39,048
   12/31/93              40,365        39,324
   12/31/94              40,897        40,749
   12/31/95              56,247        56,186
   12/31/96              69,153        70,611


 *Source: Lipper Analytical Services, Inc.



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