DREYFUS APPRECIATION FUND INC
N-30D, 1999-03-04
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YEAR 2000 ISSUES (UNAUDITED)

  The  fund  could  be  adversely  affected  if the computer systems used by The
Dreyfus  Corporation  and  the  fund' s  other service providers do not properly
process  and  calculate date-related information from and after January 1, 2000.
The  Dreyfus  Corporation  is working to avoid Year 2000-related problems in its
systems  and  to  obtain  assurances  from other service providers that they are
taking  similar  steps.  In  addition,  issuers  of securities in which the fund
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the fund's investments and its share price.

DREYFUS APPRECIATION FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  provide  you  with  this  annual  report for the Dreyfus
Appreciation  Fund,  Inc.  for the 12-month period ended December 31, 1998. Over
this  period, the Fund produced a total return of 30.85%,* which compares with a
total return of 28.60% for the Standard & Poor's 500 Composite Stock Price Index
(S&P 500).**

Portfolio Composition

  At  the close of the period, the Fund had 1.5% of its net assets in short-term
Treasuries,  and  industry  concentrations  in consumer staples, health care and
financials.  We are maintaining the Fund's fully invested posture, and investing
the short-term cash equivalent assets on a timely basis.

Economic Outlook

  In  spite of 1998's  global financial  turmoil, positive  fundamentals in  the
United States  economy  trumped the  forces of  recession  and  deflation   from
overseas.  We continue to expect moderate economic growth coupled with very  low
inflation for the next several years. Profit growth at corporations will  likely
be  achieved  primarily  through  volume growth,  new product  development   and
productivity  improvement, not  price increases. Although the risk of  financial
shocks  has  diminished, it has not disappeared, and we want to own companies of
financial strength  that  can  survive  and perhaps take advantage of periods of
financial stress.  Our  investment  strategy in  this  environment  is  to  stay
rigorously  focused   on   high-quality,   geographically   diversified   global
corporations, with dominant market share in their home markets and prospects for
growth in the developing economies.

  We  believe  that  liquidity  trends remain favorable, as individual investors
continue  to  shift assets from shorter term instruments to equities. One of the
significant  lessons  of  the  third quarter correction was the generally steady
behavior  of  individual  and  mutual  fund  investors  in the face of bleak and
alarming  headlines.  We  suspect  that  liquidity  is still substantial amongst
individual   investors,   and  that  corrections  will  tend  to  be  viewed  as
opportunities  to commit to longer-term assets such as equities. As a result, we
intend to maintain a fully invested posture in the Dreyfus Appreciation Fund.

Investment Strategey

  While  we  are  happy  to  report  these  results,  we'd also like to take the
opportunity  to  review  our  investment  philosophy, which guides our selection
process  and  the resulting composition of the portfolio. Succinctly stated, our
philosophy  is  guided  by  one basic principle: earnings growth is the ultimate
driver  of  stock  price appreciation over the long term. We believe that large,
globally  dominant and diverse companies are best positioned to grow earnings in
a consistent and predictable manner over time. By taking a long-term outlook, we
assess a company's earnings  growth  prospects  over  a period of several years,
looking  for  businesses  with  sustainable  competitive  advantages  in growing
industries  that  can perform in a variety of economic backdrops. Once we find a
company  that  meets  these criteria, we will continue to hold it as long as the
industry  outlook  is  strong and company fundamentals are sound. As a result of
our  in-depth  analysis and long-term outlook, changes to the portfolio within a
year   tend  to  be  few  and  the  turnover  low.  Our  goal  is  to  create  a
well-diversified  portfolio  of  companies  that  exhibit  sustainable  earnings
growth,  possess financial quality and an established growth record, and offer a
reasonable valuation.

  Characteristics  of  companies  in  the  portfolio  include  dominant industry
positions, the possession of strong brand names and/or proprietary technologies,
and  the  ability  to  take  strong domestic franchises and enter new geographic
markets. We believe all of these characteristics contribute to the production of
consistent   and   profitable   earnings   growth.  The  opportunity  to  expand
geographically  provides  an  excellent  source  of  future  earnings  growth as
companies  roll  out their products and develop their businesses in new markets.
While  predominantly U.S.-based, these companies have global businesses, but the
majority  of  profits  are  derived  from  the  U.S.,  Japan and western Europe;
generally, exposure to emerging markets is small, but provides opportunities for
future growth over the long term.

  The  implementation  of  the  above-described  equity  strategy  has led us to
concentrate  the  portfolio  in  the consumer staples, health care and financial
sectors.  The  consumer  staples  sector is primarily benefiting from geographic
expansion, as companies such as Coca-Cola, Gillette, Procter & Gamble and Philip
Morris  Cos.  introduce  their  branded, low-cost products to an emerging middle
class  around  the world. With aging populations, increasing use of prescription
drugs,  and  a plethora of new drug introductions, we believe the pharmaceutical
sector  has  excellent  visibility for earnings growth over the next five to ten
years.  Lastly,  we expect the financial sector to produce solid earnings growth
going  forward  as  consolidation  and  globalization  of the industry continue,
prompted by deregulation.

Investment Highlights

  As  already  noted,  the Fund not only achieved an outstanding total return of
30.85%, but  also outperformed the S&P 500 in 1998. During  the year, the Fund's
overweight  position  in  the  health  care  sector, specifically pharmaceutical
companies,  had  the  most  positive  impact on the Fund's absolute and relative
performance,  led  by  Pfizer and Merck & Co. The attractive fundamentals of the
pharmaceutical  sector,  combined with several successful new drug introductions
and a lack of meaningful profit exposure to emerging markets, all worked to make
the  health  care  sector  one  of  the  top  performing in the Index. While the
consumer  staples  and  financial services sectors were positive contributors to
performance,  our  overweight  positions in both of these sectors undermined the
Fund' s  relative  performance,  as both underperformed the S&P 500. Many of our
global growth companies, such as Coca-Cola and Gillette, were adversely affected
by  the  currency devaluations and economic turmoil that arose in southeast Asia
and  Russia  in  the  third  quarter.  While  these dislocations have hurt their
earnings  outlook  over  the near term, we believe these companies are using the
crisis  to  strengthen  their  businesses  and  better  position  themselves  to
ultimately  gain market share when economic growth resumes. The financial sector
was  also  disrupted  by  the  global  financial  turmoil;  however, we expect a
resumption  of  normal earnings growth in 1999. We have avoided a large presence
in  the  technology  sector  due to the rapidly changing nature of technological
products  and  the  associated  difficulty  of  identifying predictable earnings
growth. Because technology was the top performing sector in the S&P 500 in 1998,
the  Fund's  relative  performance  was  penalized by our underweight position.
However,  the  technology holdings we do own, such as Microsoft, Intel and Cisco
Systems--all possessing industry leader status, strong brand names, proven track
records  and  sustained periods of profitability--were all positive contributors
to the Fund's performance.

We thank you for your investment  in  the Dreyfus Appreciation Fund, and we will
continue to seek rewarding returns on your behalf.

                Sincerely,


                [Fayez Sarofim signature]


                Fayez Sarofim

                Portfolio Manager

January 21, 1999
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.


DREYFUS APPRECIATION FUND, INC.                             DECEMBER 31, 1998
- -----------------------------------------------------------------------------

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

                                    Dollars

$118,588

Standard & Poor's 500 Composite Stock Price Index*

$118,129

Dreyfus Appreciation Fund, Inc.

*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, 1998                  December 31, 1998                 December 31, 1998                to December 31, 1998
__________________               __________________                 __________________              _________________________
      <S>                               <C>                               <C>                                <C>
      30.85%                            24.61%                            18.53%                             17.96%
</TABLE>
- ------------------------

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>
<CAPTION>

DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS DECEMBER   31,  1998

Common Stocks--98.6%                                                                         Shares                  Value
- -------------------------------------------------------------------------------        ----------------        ----------------
<S>                   <C>                                                     <C>               <C>            <C>
                      Apparel--.8%  Christian Dior . . . . . . . . . . . . . . .                150,000        $     16,594,465

                                    Polo Ralph Lauren  . . . . . . . . . . . .(a)               650,000              12,471,875

                                    Warnaco Group, Cl. A . . . . . . . . . . . .                180,000               4,545,000

                                                                                                                _______________

                                                                                                                     33,611,340

                                                                                                                _______________


                  Automotive--4.8%  Dailmer-Chrysler . . . . . . . . . . . . . .                768,200              73,795,213

                                    Ford Motor . . . . . . . . . . . . . . . . .              1,524,905              89,492,862

                                    General Motors . . . . . . . . . . . . . . .                500,000              35,781,250

                                                                                                                _______________

                                                                                                                    199,069,325

                                                                                                                _______________


                     Banking--7.4%  BankAmerica  . . . . . . . . . . . . . . . .              1,011,466              60,814,393

                                    Chase Manhattan  . . . . . . . . . . . . . .              1,300,000              88,481,250

                                    Citigroup  . . . . . . . . . . . . . . . . .              1,627,500              80,561,250

                                    SunTrust Banks . . . . . . . . . . . . . . .              1,000,000              76,500,000

                                                                                                                _______________

                                                                                                                    306,356,893

                                                                                                                _______________


             Basic Materials--1.2%  Dow Chemical . . . . . . . . . . . . . . . .                 80,000               7,275,000

                                    duPont (E.I.) de Nemours & Co. . . . . . . .                680,000              36,082,500

                                    Rohm & Haas  . . . . . . . . . . . . . . . .                150,000               4,518,750

                                                                                                                _______________

                                                                                                                     47,876,250

                                                                                                                _______________


               Capital Goods--7.4%  AlliedSignal . . . . . . . . . . . . . . . .              1,000,000              44,312,500

                                    Boeing . . . . . . . . . . . . . . . . . . .                553,900              18,070,988

                                    Caterpillar  . . . . . . . . . . . . . . . .                430,000              19,780,000

                                    Emerson Electric . . . . . . . . . . . . . .                575,000              35,973,438

                                    General Electric . . . . . . . . . . . . . .              1,250,000             127,578,125

                                    Minnesota Mining & Manufacturing . . . . . .                250,000              17,781,250

                                    Rockwell International . . . . . . . . . . .                950,000              46,134,375

                                                                                                                _______________

                                                                                                                    309,630,676

                                                                                                                _______________


     Communications Services--6.4%  Bell Atlantic  . . . . . . . . . . . . . . .              1,075,000              56,975,000

                                    BellSouth  . . . . . . . . . . . . . . . . .              1,750,000              87,281,250

                                    SBC Communications . . . . . . . . . . . . .              2,250,192             120,666,546
                                                                                                                _______________

                                                                                                                    264,922,796
                                                                                                                _______________

                   Computers--7.4%  Cisco Systems  . . . . . . . . . . . . . .(a)               850,750              78,960,234

                                    Compaq Computer  . . . . . . . . . . . . . .              1,250,000              52,421,875

                                    Hewlett-Packard  . . . . . . . . . . . . . .                900,000              61,481,250

                                    Microsoft  . . . . . . . . . . . . . . . .(a)               835,000             115,804,063
                                                                                                                _______________

                                                                                                                    308,667,422
                                                                                                                _______________

            Consumer Services--.5%  Fox Entertainment Group  . . . . . . . . . .                907,700              22,862,694
                                                                                                                _______________


                 Electronics--4.3%  Intel  . . . . . . . . . . . . . . . . . . .              1,500,000             177,843,745

                                                                                                                _______________

DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)              DECEMBER 31, 1998

Common Stocks (continued)                                                                  Shares                  Value
- -------------------------------------------------------------------------------        ----------------        ----------------

                      Energy--6.5%  British Petroleum, A.D.S.  . . . . . . . . .                790,000        $     75,050,000

                                    Chevron  . . . . . . . . . . . . . . . . . .                450,000              37,321,875

                                    Exxon  . . . . . . . . . . . . . . . . . . .              1,050,000              76,781,250

                                    Mobil  . . . . . . . . . . . . . . . . . . .                660,000              57,502,500

                                    Royal Dutch Petroleum, A.D.R.  . . . . . . .                540,000              25,852,500

                                                                                                                _______________

                                                                                                                    272,508,125

                                                                                                                _______________


                     Finance--6.2%  American General . . . . . . . . . . . . . .                316,000              24,648,000

                                    Associates First Capital, Cl. A  . . . . . .              1,601,788              67,875,767

                                    Fannie Mae . . . . . . . . . . . . . . . . .              1,500,000             111,000,000

                                    Hertz, Cl. A . . . . . . . . . . . . . . . .                350,000              15,968,750

                                    Merrill Lynch & Co.  . . . . . . . . . . . .                575,000              38,381,250

                                                                                                                _______________

                                                                                                                    257,873,767

                                                                                                                _______________


                Food & Drugs--2.1%  Walgreen . . . . . . . . . . . . . . . . . .              1,475,000              86,379,688

                                                                                                                _______________


    Food, Beverage & Tobacco--9.8%  Anheuser-Busch . . . . . . . . . . . . . . .                140,000               9,187,500

                                    Coca-Cola  . . . . . . . . . . . . . . . . .              2,100,000             140,437,500

                                    Kellogg  . . . . . . . . . . . . . . . . . .                250,000               8,531,250

                                    Nestle, A.D.R. . . . . . . . . . . . . . . .                350,000              34,387,500

                                    PepsiCo  . . . . . . . . . . . . . . . . . .              1,350,000              55,265,625

                                    Philip Morris Cos. . . . . . . . . . . . . .              2,800,000             149,800,000

                                    Unilever . . . . . . . . . . . . . . . . . .                100,000               8,293,750

                                                                                                                _______________

                                                                                                                    405,903,125

                                                                                                                _______________


                Health Care--19.4%  Abbott Laboratories  . . . . . . . . . . . .              1,450,000              71,050,000

                                    American Home Products . . . . . . . . . . .              1,800,000             101,362,500

                                    Bristol-Myers Squibb . . . . . . . . . . . .                800,000             107,050,000

                                    Johnson & Johnson  . . . . . . . . . . . . .              1,325,000             111,134,375

                                    Merck & Co.  . . . . . . . . . . . . . . . .                925,000             136,610,938

                                    Pfizer . . . . . . . . . . . . . . . . . . .              1,850,000             232,059,375

                                    Roche Holdings, A.D.R. . . . . . . . . . . .                325,000              39,650,000

                                    Schering-Plough  . . . . . . . . . . . . . .                160,000               8,840,000

                                                                                                                _______________

                                                                                                                    807,757,188

                                                                                                                _______________


          Household Products--6.1%  Colgate-Palmolive  . . . . . . . . . . . . .                560,000              52,010,000

                                    Estee Lauder Cos.  . . . . . . . . . . . . .                260,000              22,230,000

                                    Gillette . . . . . . . . . . . . . . . . . .              1,850,000              89,378,125

                                    Procter & Gamble . . . . . . . . . . . . . .                985,000              89,942,813

                                                                                                                _______________

                                                                                                                    253,560,938

                                                                                                                _______________


                   Insurance--3.8%  Berkshire Hathaway, Cl. A  . . . . . . . .(a)                 1,468             102,725,000

                                    Marsh & McLennan . . . . . . . . . . . . . .                925,000              54,054,688

                                                                                                                _______________

                                                                                                                    156,779,688

                                                                                                                _______________


DREYFUS APPRECIATION FUND, INC.
- ------------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                                                          DECEMBER 31, 1998

Common Stocks (continued)                                                                  Shares                  Value
- -------------------------------------------------------------------------------        ----------------        ----------------

         Media/Entertainment--1.7%  Disney (Walt)  . . . . . . . . . . . . . . .                450,000        $     13,500,000

                                    McDonald's . . . . . . . . . . . . . . . . .                600,000              45,975,000

                                    Tricon Global Restaurants  . . . . . . . .(a)               250,000              12,531,250

                                                                                                                _______________

                                                                                                                     72,006,250

                                                                                                                _______________


                  Photography--.4%  Eastman Kodak  . . . . . . . . . . . . . . .                250,000              18,000,000

                                                                                                                _______________


                   Publishing--.7%  McGraw-Hill Cos. . . . . . . . . . . . . . .                250,000              25,468,750

                                    News Corp, A.D.R.  . . . . . . . . . . . . .                120,000               3,172,500
                                                                                                                _______________

                                                                                                                     28,641,250
                                                                                                                _______________


                       Retail--.6%  Wal-Mart Stores  . . . . . . . . . . . . . .                325,000              26,467,188
                                                                                                                _______________

              Transportation--1.1%  Norfolk Southern . . . . . . . . . . . . . .              1,500,000              47,531,250
                                                                                                                _______________

                                    TOTAL COMMON STOCKS
                                       (cost $2,750,529,213) . . . . . . . . . .                                 $4,104,249,598
                                                                                                                ===============


Preferred Stocks--.5%
- -------------------------------------------------

                       Publishing;  News Corp, A.D.R.

                                       (cost $15,964,941)  . . . . . . . . . . .                800,000        $     19,750,000
                                                                                                               ================

                                                                                            Principal
Short-Term Investments--1.5%                                                                 Amount
- --------------------------------------------------------------------------------
                                                                                         ------------------

              U.S. Treasury Bills:  4.13%, 1/21/99 . . . . . . . . . . . . . . .           $  6,257,000       $       6,241,702

                                    4.20%, 1/28/99 . . . . . . . . . . . . . . .              6,266,000               6,248,393

                                    4.38%, 2/18/99 . . . . . . . . . . . . . . .             12,360,000              12,292,762

                                    4.33%, 3/4/99  . . . . . . . . . . . . . . .             14,436,000              14,327,340

                                    4.44%, 3/25/99 . . . . . . . . . . . . . . .              6,834,000               6,765,612

                                    4.48%, 4/1/99  . . . . . . . . . . . . . . .             16,103,000              15,927,477

                                                                                                                _______________

                                    TOTAL SHORT-TERM INVESTMENTS

                                       (cost $61,791,742)  . . . . . . . . . . .                               $     61,803,286
                                                                                                               ================


TOTAL INVESTMENTS (cost $2,828,285,896). . . . . . . . . . . . . . . . . . . . .                 100.6%          $4,185,802,884
                                                                                                _______          ==============


LIABILITIES, LESS CASH AND RECEIVABLES . . . . . . . . . . . . . . . . . . . . .                  (.6%)       $    (23,786,995)
                                                                                                _______       =================

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                 100.0%          $4,162,015,889
                                                                                                _______        ================

Notes to Statement of Investments:
- -----------------------------------------------------------------------------

(a)  Non-income producing.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
<CAPTION>
DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                                                               DECEMBER 31, 1998

                                                                                                  Cost               Value
                                                                                              _______________   _______________
<S>                        <C>                                                                 <C>               <C>
ASSETS:                    Investments in securities--See Statement of Investments . . . .     $2,828,285,896    $4,185,802,884

                           Receivable for shares of Common Stock subscribed  . . . . . . .                            3,656,331

                           Dividends and interest receivable . . . . . . . . . . . . . . .                            3,463,421

                           Prepaid expenses  . . . . . . . . . . . . . . . . . . . . . . .                              251,706

                                                                                                                _______________

                                                                                                                  4,193,174,342

                                                                                                                _______________

LIABILITIES:               Due to The Dreyfus Corporation and affiliates . . . . . . . . .                              950,621

                           Due to Fayez Sarofim & Co.  . . . . . . . . . . . . . . . . . .                              921,319

                           Due to Distributor  . . . . . . . . . . . . . . . . . . . . . .                              850,882

                           Cash overdraft due to Custodian . . . . . . . . . . . . . . . .                            7,657,328

                           Payable for investment securities purchased . . . . . . . . . .                           19,130,965

                           Payable for shares of Common Stock redeemed . . . . . . . . . .                              906,252

                           Accrued expenses  . . . . . . . . . . . . . . . . . . . . . . .                              741,086

                                                                                                                _______________

                                                                                                                     31,158,453

                                                                                                                _______________

NET ASSETS     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $4,162,015,889
                                                                                                                ===============


REPRESENTED BY:            Paid-in capital . . . . . . . . . . . . . . . . . . . . . . . .                       $2,804,220,312

                           Accumulated net realized gain (loss) on investments . . . . . .                              269,389

                           Accumulated net unrealized appreciation (depreciation)
                              on investments and foreign currency transactions . . . . .                           1,357,526,188
                                                                                                                ________________


NET ASSETS     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                       $4,162,015,889
                                                                                                                ================

SHARES OUTSTANDING

(100 MILLION SHARES OF $.01 PAR VALUE COMMON STOCK AUTHORIZED) . . . . . . . . . . . . . .                           98,924,127

NET ASSET VALUE, offering and redemption price per share                                                                 $42.07
                                                                                                                        =======

                       SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
<CAPTION>
DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                                                                          YEAR ENDED DECEMBER 31, 1998

INVESTMENT INCOME
<S>                        <C>                                                                   <C>               <C>
INCOME:                    Cash dividends (net of $686,907 foreign taxes
                              withheld at source)  . . . . . . . . . . . . . . . . . . . .       $ 45,382,127

                           Interest  . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,910,156

                                                                                               ______________

                                 Total Income  . . . . . . . . . . . . . . . . . . . . . .                         $ 48,292,283

EXPENSES:                  Investment advisory fee--Note 3(a)  . . . . . . . . . . . . . .          8,258,087

                           Sub-investment advisory fee--Note 3(a)  . . . . . . . . . . . .          7,913,087

                           Shareholder servicing costs--Note 3(b)  . . . . . . . . . . . .          9,001,243

                           Registration fees . . . . . . . . . . . . . . . . . . . . . . .            529,646

                           Prospectus and shareholders' reports  . . . . . . . . . . . . .            205,058

                           Custodian fees--Note 3(b) . . . . . . . . . . . . . . . . . . .            163,131

                           Professional fees . . . . . . . . . . . . . . . . . . . . . . .             55,236

                           Directors' fees and expenses--Note 3(c) . . . . . . . . . . . .             37,094

                           Loan commitment fees--Note 2  . . . . . . . . . . . . . . . . .             15,088

                           Miscellaneous     . . . . . . . . . . . . . . . . . . . . . . .             27,768
                                                                                               ______________

                                 Total Expenses  . . . . . . . . . . . . . . . . . . . . .                           26,205,438
                                                                                                                 ______________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           22,086,845

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

                           Net realized gain (loss) on investments . . . . . . . . . . . .       $  6,832,495

                           Net unrealized appreciation (depreciation) on investments . . .        779,726,182
                                                                                               ______________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . . . . . .                          786,558,677

                                                                                                                 ______________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                         $808,645,522
                                                                                                                 ==============


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

<TABLE>
<CAPTION>


                                                                                          Year Ended             Year Ended
                                                                                       December 31, 1998     December 31, 1997
                                                                                       _________________      _________________
<S>                                                                                     <C>                  <C>
OPERATIONS:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $    22,086,845      $      15,471,076

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . .              6,832,495              4,286,731

  Net unrealized appreciation (depreciation) on investments  . . . . . . . . . .            779,726,182            317,934,827

                                                                                       ________________       ________________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . .            808,645,522            337,692,634

                                                                                       ________________       ________________

DIVIDENDS TO SHAREHOLDERS:

  From investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . .            (22,227,913)           (15,585,302)

  In excess of investment income--net  . . . . . . . . . . . . . . . . . . . . .                   --                  (98,228)

  From net realized gain on investments  . . . . . . . . . . . . . . . . . . . .             (6,915,626)            (3,671,898)

                                                                                       ________________       ________________

       Total Dividends . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (29,143,539)           (19,355,428)

                                                                                       ________________       ________________

CAPITAL STOCK TRANSACTIONS:

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . .          3,227,561,253          3,038,700,676

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             23,885,824             17,226,988

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . .         (1,846,571,204)        (2,242,123,459)

                                                                                       ________________       ________________

       Increase (Decrease) in Net Assets from Capital Stock Transactions . . . .          1,404,875,873            813,804,205
                                                                                       ________________       ________________

         Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .          2,184,377,856          1,132,141,411

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,977,638,033            845,496,622
                                                                                       ________________       ________________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $4,162,015,889         $1,977,638,033
                                                                                       ================       ================

                                                                                           Shares                 Shares
                                                                                       ________________       ________________

CAPITAL SHARE TRANSACTIONS:

  Shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             86,769,924            102,660,433

  Shares issued for dividends reinvested . . . . . . . . . . . . . . . . . . . .                569,180                538,558

  Shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (49,485,662)           (75,178,590)
                                                                                       ________________       ________________

       Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . . . .             37,853,442             28,020,401
                                                                                       ================       ================

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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:                                                   1998          1997          1996          1995          1994
                                                                 ______        ______        ______        ______        ______
<S>                                                              <C>           <C>           <C>           <C>           <C>
   Net asset value, beginning of period  . . . . . . .           $32.38        $25.58        $20.55        $15.17        $14.92
                                                                 ______        ______        ______        ______        ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . .              .23           .25           .25           .33           .28

   Net realized and unrealized gain (loss)
      on investments . . . . . . . . . . . . . . . . .             9.76          6.87          5.03          5.42           .26
                                                                 ______        ______        ______        ______        ______

   Total from Investment Operations  . . . . . . . . .             9.99          7.12          5.28          5.75           .54
                                                                 ______        ______        ______        ______        ______

   Distributions:

   Dividends from investment income--net . . . . . . .             (.23)         (.26)         (.25)         (.34)         (.28)

   Dividends in excess of investment
      income--net  . . . . . . . . . . . . . . . . . .               --          (.00)*          --            --            --

   Dividends from net realized gain
     on investments  . . . . . . . . . . . . . . . . .             (.07)         (.06)          --           (.03)         (.01)
                                                                 ______        ______        ______        ______        ______

   Total Distributions . . . . . . . . . . . . . . . .             (.30)         (.32)         (.25)         (.37)         (.29)
                                                                 ______        ______        ______        ______        ______

   Net asset value, end of period  . . . . . . . . . .           $42.07        $32.38        $25.58        $20.55        $15.17
                                                                 ======        ======        ======        ======        ======

TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . .            30.85%        27.85%        25.68%        37.89%         3.62%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . .              .89%          .87%          .91%          .92%          .96%

   Ratio of net investment income
      to average net assets  . . . . . . . . . . . . .              .75%          .99%         1.34%         2.28%         1.86%

   Portfolio Turnover Rate . . . . . . . . . . . . . .             1.40%         1.23%         4.84%         4.51%         6.58%

   Net Assets, end of period (000's Omitted)   . . . .       $4,162,016    $1,977,638      $845,497      $457,267      $233,459
- ------------------------
*   Amount represents less than $.01 per share.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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,  as  amended   (the "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") is 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. Securities for
which  there  are  no  such valuations are valued at fair value as determined in
good   faith  under  the  direction  of  the  Board  of  Directors.  Investments
denominated  in  foreign  currencies  are  translated  to  U.S.  dollars  at the
prevailing rates of exchange.

 (B)  FOREIGN  CURRENCY  TRANSACTIONS: The Fund does not isolate that portion of
the  results  of  operations resulting from changes in foreign exchange rates on
investments  from  the  fluctuations  arising  from  changes in market prices of
securities  held.  Such  fluctuations  are  included  with  the net realized and
unrealized gain or loss from investments.

 Net  realized  foreign exchange gains or losses arise from sales and maturities
of  short-term securities, sales of foreign currencies, currency gains or losses
realized  on  securities  transactions and the difference between the amounts of
dividends,  interest, and foreign withholding taxes recorded on the Fund's books
and  the  U.S.  dollar  equivalent of the amounts actually received or paid. Net
unrealized  foreign exchange gains and losses arise from changes in the value of
assets  and  liabilities  other  than  investments in securities, resulting from
changes  in exchange rates. Such gains and losses are included with net realized
and unrealized gain or loss on investments.

 (C)  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.  Under the terms of the custody agreement, the Fund received net
earnings  credits  of $15,780 during the period ended December 31, 1998 based on
available cash balances left on deposit. Income earned under this arrangement is
included in interest income.

 (D)  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 of 1986, as amended (the "Code"). To
the  extent  that  net  realized  capital  gain  can  be  offset by capital loss
carryovers, if any, it is the policy of the Fund not to distribute such gain.

 (E)  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  Code,  and to make distributions of taxable income sufficient to relieve it
from substantially all Federal income and excise taxes.

 As  of  December  31,  1998,  the  Fund  reclassified certain components of net
assets.  The  reclassifications  resulted  in  a  net  increase  to  accumulated
undistributed  net investment income of $239,296, an increase in accumulated net
realized  gain  on  investments  of $11,682 and a decrease in paid-in capital of
$250,978.  These  reclassifications  were  the  result  of permanent book to tax
differences. Net assets were not affected by these reclassifications.

DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

NOTE 2--BANK LINE OF CREDIT:

 The  Fund  participates  with  other  Dreyfus-managed  funds  in a $600 million
redemption  credit  facility  (the "Facility") to be  utilized  for temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the Fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to  the Fund at rates based on prevailing
market  rates  in  effect  at  the  time  of borrowings. During the period ended
December 31, 1998, the Fund did not borrow under the Facility.

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  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 million up to $75 million . . . . . . . . . .        .37 of 1%           .18 of 1%

     $75 million up to $200 million  . . . . . . . . .        .33 of 1%           .22 of 1%

     $200 million up to $300 million . . . . . . . . .        .29 of 1%           .26 of 1%

     In excess of $300 million . . . . . . . . . . . .       .275 of 1%          .275 of 1%
</TABLE>

 (B)  Under the Shareholder Services Plan, the Fund pays the Distributor for the
provision  of  certain  services at the annual rate of .25 of 1% of the value of
the  Fund's average daily net assets. The services provided may include personal
services  relating  to  shareholder  accounts,  such  as  answering  shareholder
inquiries  regarding  the  Fund and providing reports and other information, and
services related to the maintenance of shareholder accounts. The Distributor may
make  payments  to Service Agents (a securities dealer, financial institution or
other  industry  professional)  in  respect  of  these services. The distributor
determines  the  amounts  to  be paid to Service Agents. During the period ended
December  31,  1998, the Fund was charged $7,350,533 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. During the period
ended  December 31, 1998, the Fund was charged $790,403 pursuant to the transfer
agency agreement.

 The  Fund  compensates Mellon under a custody agreement for providing custodial
services  for  the Fund. During the period ended December 31, 1998, the Fund was
charged $163,131 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.

NOTE 4--SECURITIES TRANSACTIONS:

The aggregate amount of purchases and sales of investment securities,  excluding
short-term  securities,  during  the  period ended December 31, 1998 amounted to
$1,407,279,973 and $40,169,870, respectively.

 At  December  31,  1998, accumulated net unrealized appreciation on investments
was  $1,357,516,988,  consisting of $1,388,641,205 gross unrealized appreciation
and $31,124,217 gross unrealized depreciation.

 At  December  31, 1998, 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).

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,  1998,  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  and  financial  highlights.  Our procedures included verification by
examination  of  securities  held  by  the custodian as of December 31, 1998 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,  1998,  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.





New York, New York
February 3, 1999


DREYFUS APPRECIATION FUND, INC.
- -----------------------------------------------------------------------------

IMPORTANT TAX INFORMATION (UNAUDITED)

  For  Federal  tax  purposes  the  Fund  hereby designates $.067 per share as a
long-term  capital gain distribution of the $.294 per share paid on December 24,
1998  and  also  designates  $.0041  per  share  as  a  long-term  capital  gain
distribution paid on September 14, 1998.

The Fund also designates 100% of the ordinary dividends paid during  the  fiscal
year  ended December 31, 1998 as qualifying for the corporate dividends received
deduction.

                                   [reg. tm logo]

                                   (reg.tm)

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.                                             141AR9812

Appreciation

Fund, Inc.

Annual Report

December 31, 1998



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, INC.

 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
 12/31/97              92,216            90,279
 12/31/98             118,588           118,129


*Source: Lipper Analytical Services, Inc.



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