DREYFUS GNMA FUND INC
N-30D, 2000-12-28
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Dreyfus

GNMA Fund, Inc.

SEMIANNUAL REPORT October 31, 2000

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

           * Not FDIC-Insured * Not Bank-Guaranteed * May Lose Value


                                 Contents

                                 THE FUND
--------------------------------------------------

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                            11   Statement of Financial Futures

                            12   Statement of Assets and Liabilities

                            13   Statement of Operations

                            14   Statement of Changes in Net Assets

                            15   Financial Highlights

                            16   Notes to Financial Statements

                                 FOR MORE INFORMATION
---------------------------------------------------------------------------

                                 Back Cover

                                                                       The Fund

                                                                        Dreyfus

                                                                GNMA Fund, Inc.

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to present this semiannual report for Dreyfus GNMA Fund, Inc.,
covering the six-month period from May 1, 2000 through October 31, 2000. Inside,
you' ll  find  valuable  information  about  how the fund was managed during the
reporting  period,  including  a  discussion  with the fund's portfolio manager,
Michael Hoeh.

Bond  prices  were  mixed  over  the  six-month  reporting  period. Despite some
volatility,  prices  of U.S. Treasury securities generally ended the period near
where  they  began  and  prices of corporate bonds generally ended the period at
modestly  lower levels than where they began. More recently, most sectors of the
U.S.  bond  market  have been affected by slowing economic growth. Additionally,
the  moderating effects of the Federal Reserve Board's (the "Fed") interest-rate
hikes  during  the  first  half  of  2000  helped the Fed to achieve its goal of
slowing  the U.S. economy. Other factors such as higher energy prices and a weak
euro also served to slow economic growth.

In general, the overall investment environment that prevailed in the second half
of  the  1990s  had  provided  returns  well  above  their  historical averages,
establishing unrealistic expectations for some investors. We believe that as the
risks  of  the  stock  market  have  become more apparent recently, the relative
stability  and  income potential of bonds can make them an attractive investment
as part of a well-balanced portfolio.

For  more  information about the economy and financial markets, we encourage you
to visit the Market Commentary section of our website at www.dreyfus.com. Or, to
speak with a Dreyfus customer service representative, call us at 1-800-782-6620

Thank you for investing in Dreyfus GNMA Fund, Inc.

Sincerely,

/s/ Stephen E. Canter

Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
November 15, 2000




DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager

How did Dreyfus GNMA Fund, Inc. perform relative to its benchmark?

For  the  six-month  period  ended  October  31,  2000,  Dreyfus GNMA Fund, Inc.
produced  a  total  return of 5.07% and income dividends of $0.450 per share. In
addition,  a 30-day SEC yield of 6.44% was produced for the reporting period.(1)
In  comparison,  the  fund' s  benchmark,  the  Lehman  Brothers GNMA Index (the
"  Index"  ), produced  a  total  return  of  6.06%  for  the  same  period.(2)

Although the fund underperformed its benchmark over the six-month period, so did
most  other  GNMA  funds  in  our  peer  group. The fund's defensive positioning
prevented  us  from taking full advantage of the GNMA market rally that occurred
in June.

What is the fund's investment approach?

The  fund  invests primarily in Government National Mortgage Association ("GNMA"
or   "Ginnie   Mae" ) securities.  The  remainder  may  be  allocated  to  other
mortgage-related  securities,  including  U.S.  Government agency securities and
privately   issued  mortgage-backed  securities,  as  well  as  to  asset-backed
securities,  U.S.  Treasuries  and  repurchase agreements. The fund's goal is to
provide a high level of current income consistent with capital preservation.

We    use    a    four-step    investment    approach:

*    PREPAYMENT  TREND  ANALYSIS.  We  carefully  review  the  extent  to  which
     homeowners  are likely to prepay their  mortgages  because of home sales or
     refinancing,  since a sharp  increase  or  decrease  in  this  trend  would
     adversely affect returns provided by the fund' s mortgage-backed holdings.

*    OPTION-ADJUSTED  SPREAD  ANALYSIS.  This analytical tool compares the early
     redemption  or  extension   characteristics  of  different  mortgage-backed
     securities with other securities, such as U.S. Treasuries. This The Fun


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

     analysis  helps  us  measure  the  relative risk  that different types  of
     mortgage-backed securities may have versus their expected total return.

*    CASH FLOW STRUCTURE  ANALYSIS.  This helps us determine the  predictability
     and  security  of cash flows  provided by  different  bond  structures.  We
     analyze the benefits of 30- and 15-year  fixed-rate  securities  along with
     adjustable-rate  mortgage securities ("ARMs"). Also within the GNMA market,
     we  analyze  project  loans  that  offer  cash  flow  protection  from loan
     prepayments.

*    TOTAL-RATE-OF-RETURN  SCENARIOS.  We calculate expected rates of return for
     each  security  relative  to  U.S.  Treasury   securities  under  different
     interest-rate scenarios over a six-month time frame. This helps us estimate
     which securities are likely to provide  above-average  returns in any given
     interest-rate environment.

What other factors influenced the fund's performance?

When  the  reporting  period  began on May 1, 2000, the U.S. economy was growing
strongly,  raising  concerns  that  long-dormant  inflationary  pressures  might
reemerge.  In  response, the Federal Reserve Board (the "Fed") raised short-term
interest  rates  once  during  the reporting period. However, signs soon emerged
that the Fed's previous rate hikes were having the desired effect of slowing the
economy,  suggesting  that the Fed's restrictive monetary policies could be near
an end.

In  this environment, long-term fixed-income securities rallied. GNMA securities
performed particularly well for two primary reasons. First, the declining supply
of  U.S.  Treasury  securities  caused  some  investors  to turn to other direct
obligations  of  the  U.S.  Government,  such  as  Ginnie Mae-issued securities.
Second,  indirect  obligations such as those issued by the Federal National Home
Mortgage  Association ("Fannie Mae") and Federal Home Loan Corporation ("Freddie
Mac" ), were  out  of favor among investors because of political pressures. Both
factors  contributed  to  an  increase  in demand for Ginnie Mae mortgage-backed
securities, causing their prices to rise.

However,  our  defensive  positioning  in  cash  and  short-term  U.S.  Treasury
securities    during    a    rising    interest-rate    environment    prevente

us  and  many  of  our  peers from taking full advantage of the market rally. To
limit  the  potentially  eroding  effects  of  higher  interest  rates,  we  had
maintained  a relatively shorter average duration -- a measure of sensitivity to
changing interest rates -- than the Index during the first part of the reporting
period. Our holdings of non-GNMA securities, which we used to enhance the fund's
yield and diversification, also held back the fund's overall returns.

What is the fund's current strategy?

When  it  became  apparent  last  summer that interest rates were likely to stop
rising,  we extended the fund's average duration to a point modestly longer than
that  of our benchmark. We maintained a relatively long position through the end
of  the  reporting period. This position potentially should enable us to benefit
if,  as  we expect, stock market volatility and slower economic growth cause the
Fed    to    refrain    from    additional    interest-rate    hikes.

As  of October 31, the fund's assets were allocated 59.7% to 30-year and 15-year
GNMAs,  15.7%  to  other  GNMAs, 2.0% to U.S. Treasury securities, 11.1% to U.S.
Government agency securities, 13.2% to non-agency mortgage-backed securities and
1.0%  to  repurchase agreements. This allocation reflects a repositioning of the
fund' s  holdings  to  achieve  greater  protection  from prepayment risk, which
typically  affects  mortgage-related  securities  when  interest  rates fall and
homeowners refinance their mortgages. We have recently increased our holdings of
long-term  U.S. Treasury bonds, commercial mortgage-backed securities and agency
debentures, all of which are protected explicitly from prepayment risk.

November 15, 2000

(1)  TOTAL RETURN INCLUDES REINVESTMENT OF DIVIDENDS AND ANY CAPITAL GAINS. PAST
     PERFORMANCE  IS NO GUARANTEE  OF FUTURE  RESULTS.  SHARE  PRICE,  YIELD AND
     INVESTMENT  RETURN FLUCTUATE SUCH THAT UPON REDEMPTION,  FUND SHARES MAY BE
     WORTH MORE OR LESS THAN THEIR ORIGINAL COST.

(2)  SOURCE: LEHMAN BROTHERS INC. -- REFLECTS THE REINVESTMENT OF DIVIDENDS AND,
     WHERE  APPLICABLE,  CAPITAL GAIN  DISTRIBUTIONS.  THE LEHMAN  BROTHERS GNMA
     INDEX IS AN  UNMANAGED,  TOTAL RETURN  PERFORMANCE  BENCHMARK  FOR THE GNMA
     MARKET  CONSISTING  OF 15- AND  30-YEAR  FIXED-RATE  SECURITIES  BACKED  BY
     MORTGAGE POOLS OF THE GOVERNMENT NATIONAL MORTGAGE ASSOCIATION.

                                                             The Fund

STATEMENT OF INVESTMENTS

October 31, 2000 (Unaudited)

STATEMENT OF INVESTMENTS

<TABLE>
<CAPTION>


                                                                                              Principal
BONDS AND NOTES--130.0%                                                                      Amount ($)                Value ($)
-----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                         <C>                     <C>

U. S. GOVERNMENT AGENCIES/ MORTGAGE-BACKEDS--110.3%

Government National Mortgage Association I:

   6.5%, 9/15/2008-3/15/2029                                                                 61,682,821               61,093,538

   7%, 11/15/2022-12/15/2022                                                                    285,988                  285,004

   7.5%, 5/15/2002-11/15/2028                                                               108,279,810              109,785,841

   8%, 4/15/2008-12/15/2022                                                                  63,423,058               64,903,446

   8.5%, 2/15/2006-12/15/2022                                                                28,092,588               29,159,909

   9%, 7/15/2001-12/15/2022                                                                  24,613,120               25,770,737

   9.5%, 1/15/2016-11/15/2024                                                                15,617,243               16,402,558

                                                                                                                     307,401,033

Government National Mortgage Association II:

   5.5%, 4/20/2030                                                                           12,860,541  (a)          12,645,528

   6%, 4/20/2030-9/20/2030                                                                   26,664,338  (a)          26,377,589

   6.5%, 7/20/2030                                                                            6,371,487  (a)           6,351,575

   6.75%, 9/20/2027                                                                             310,967  (a)             312,376

   7%                                                                                         9,500,000  (b)           9,318,835

   7%, 4/20/2024-5/20/2030                                                                   19,377,234               19,026,755

   7.375%, 2/20/2027                                                                            304,361  (a)             305,740

   7.5%                                                                                     194,885,000  (b)         194,822,637

   7.5%, 9/20/2030                                                                           66,588,443               66,588,442

   8%                                                                                        33,245,000  (b)          33,619,006

   8%, 8/20/2030-4/20/2034                                                                   27,075,858               27,404,562

   9%, 3/20/2016                                                                                964,957                  993,297

   9.5%, 2/20/2016-2/20/2025                                                                  1,425,492                1,476,051

   10.5%, 7/20/2013-9/20/2018                                                                 1,576,947                1,697,129

                                                                                                                     400,939,522

Government National Mortgage Association I,

  Graduated Payment Mortgage:

      10.25%, 9/15/2018                                                                          43,952                   47,275

      10.75%, 3/15/2010-2/15/2016                                                               181,767                  198,325

                                                                                                                         245,600

Government National Mortgage Association II,

  Graduated Payment Mortgage,

   11.75%, 6/20/2015-1/20/2016                                                                  155,389                  171,996

Government National Mortgage Association I,

  Construction Loans:

      6.5%                                                                                      787,979  (b)             740,947

      6.5%, 2/15/2001                                                                        17,632,021               16,579,610

      6.75%                                                                                     363,386  (b)             347,772

      6.75%, 3/15/2040                                                                        8,010,314                7,666,121

                                                                                                                      25,334,450


                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

U. S. GOVERNMENT AGENCIES/ MORTGAGE-BACKEDS (CONTINUED)

Government National Mortgage Association I,

  Project Loans:

      6.3%, 11/15/2038                                                                       21,101,928               19,756,681

      6.315%, 10/15/2033                                                                      1,488,391                1,399,237

      6.355%, 8/15/2024                                                                       3,287,732                3,107,397

      6.36%, 2/15/2037                                                                       20,231,853               18,989,491

      6.375%, 10/15/2033-1/15/2034                                                           20,674,690               19,459,946

      6.38%, 9/15/2033                                                                        8,362,295                7,880,157

      6.41%, 8/15/2028                                                                        1,820,133                1,719,742

      6.5%, 12/15/2023-7/15/2029                                                             23,186,061               22,025,895

      6.55%, 7/15/2033                                                                        7,896,468                7,525,088

      6.6%, 9/15/2019-9/15/2030                                                               9,034,278                8,710,623

      6.625%, 6/15/2028-5/15/2033                                                            10,842,759               10,455,697

      6.75%, 10/15/2033-10/15/2039                                                           24,925,645               23,988,660

      6.875%, 5/15/2040                                                                       7,843,500                7,572,654

      6.95%, 12/15/2038                                                                       9,117,276                8,879,372

                                                                                                                     161,470,640

Federal Home Loan Mortgage Corp.,

  REMIC,

  Stripped Securities, Interest Only Class:

      Ser. 1583, Cl. ID, 7%, 2023                                                             5,059,465  (c)           1,278,122

      Ser. 1628, Cl. MA, 6.5%, 2022                                                           4,295,852  (c)             444,073

      Ser. 1829, Cl. I, 6.5%, 2017                                                            2,144,752  (c)              99,520

      Ser. 1882, Cl. PK, 7%, 2026                                                             3,181,482  (c)           1,257,513

      Ser. 1969, Cl. PI, 7%, 2009                                                             3,598,122  (c)             348,226

      Ser. 1998, Cl. PK, 7%, 2026                                                            10,665,918  (c)           2,261,937

      Ser. 2043, Cl. IE, 6.5%, 2023                                                          26,991,953  (c)           4,155,873

      Ser. 2048, Cl. PJ, 7%, 2028                                                             5,000,000  (c)           1,898,200

      Ser. 2065, Cl. PH, 6.5%, 2021                                                           4,473,679  (c)             608,080

                                                                                                                      12,351,544

Federal National Mortgage Association:

   Notes, 6.75%, 2002                                                                         4,200,000                4,221,433

   Notes, 7.125%, 2010                                                                       10,000,000               10,327,860

   6.82%, 1/1/2028                                                                            3,504,583                3,363,255

   6.897%, 6/1/2030                                                                           8,345,725  (a)           8,297,821

   7%                                                                                        37,250,000  (b)          36,528,095

   7.5%                                                                                       8,400,000  (b)           8,397,312

   Stripped Securities, Interest Only Class:

      Ser. 1993-133, Cl. HA, 9.96%, 2022                                                         78,992  (c)           1,552,197

      Ser. 1996-55, Cl. PL, 7%, 2025                                                          4,244,218  (c)             835,581

      Ser. 1997-16, Cl. PJ, 7%, 2026                                                          7,035,717  (c)           1,442,748

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                  Amount ($)                Value ($)
-----------------------------------------------------------------------------------------------------------------------------------

U. S. GOVERNMENT AGENCIES/ MORTGAGE-BACKEDS (CONTINUED)

Federal National Mortgage Association (continued):

  Stripped Securities, Interest Only Class (continued):

      Ser. 1997-40, Cl. PI, 7%, 2027                                                         31,676,142  (c)           9,873,976

      Ser. 1997-84, Cl. PI, 6.5%, 2021                                                        2,414,201  (c)             494,235

      Ser. 1997-85, Cl. PI, 7%, 2018                                                         17,980,858  (c)           2,100,277

                                                                                                                      87,434,790

TOTAL U. S. GOVERNMENT AGENCIES/
MORTGAGE-BACKEDS                                                                                                     995,349,575

ASSET-BACKED CTFS.--6.5%

ACLC Business Loan Receivables Trust,

   Ser. 1998-1, Cl. A-1, 6.435%, 2019                                                         8,202,267  (d)           7,830,602

Advanta Mortgage Loan Trust,

   Ser. 2000-2, Cl. A-6, 7.72%, 2015                                                          4,275,000                4,344,469

Conseco Finance,

   Ser. 2000-D, Cl. A-3, 7.89%, 2018                                                          5,300,000                5,412,175

Equivantage Home Equity Loan Trust:

   Ser. 1996-2, Cl. A-4, 8.05%, 2027                                                          6,251,000                6,285,849

   Ser. 1997-1, Cl. A-4, 7.275%, 2028                                                         6,679,628                6,708,767

GMAC Mortgage Corp. Loan Trust,

   Ser. 2000-HE3, Cl. A-2, 7.17%, 2015                                                        5,000,000                4,990,625

The Money Store Home Equity Trust:

   Ser. 1995-B, Cl. A-6, 7.5%, 2026                                                           8,000,000                8,056,120

   Ser. 1997-D, Cl. AF-7, 6.485%, 2038                                                        7,225,000                7,035,669

   Ser. 1998-B, Cl. AF-8, 6.11%, 2010                                                         5,400,000                5,253,201

Nomura Depositor Trust,

   Ser. 1998-ST1, Cl. A-3, 7.2%, 2003                                                         3,000,000  (d)           2,983,594

TOTAL ASSET-BACKED CTFS.                                                                                              58,901,071

COMMERCIAL MORTGAGE PASS-THROUGH CTFS.--5.5%

CS First Boston Mortgage Securities,

   Ser. 1998-C1, Cl. C, 6.78% 2009                                                           13,000,000               12,434,674

GGP Ala Moana,

   Ser. 1999-C1, Cl. D, 7.72%, 2004                                                           4,500,000  (d,e)         4,500,000

Heller Financial Commercial Mortgage Assets,

   Ser. 2000-PH1, Cl. C, 7.961%, 2010                                                         8,500,000  (e)           8,808,015

Morgan (J.P.) Commercial Mortgage Finance,

   Ser. 2000-C10, Cl. C, 7.537%, 2032                                                        11,430,000  (e)          11,580,019



                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                  Amount ($)                Value ($)
-----------------------------------------------------------------------------------------------------------------------------------

COMMERCIAL MORTGAGE PASS-THROUGH CTFS. (CONTINUED)

Morgan Stanley Dean Witter Capital I,

   Ser. 2000-1345, Cl. B, 7.738%, 2010                                                       12,500,000  (d,e)        12,722,656

TOTAL COMMERCIAL MORTGAGE PASS-THROUGH CTFS.                                                                          50,045,364

RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.--5.3%

BA Mortgage Securities,

   Ser. 1998-2, Cl. 2B1, 6.5%, 2013                                                             415,574                  390,014

Bank of America Mortgage Securities:

  Ser. 2000-6:

      Cl. B-1, 7.75%, 2030                                                                    7,058,000                6,975,372

      Cl. B-2, 7.75%, 2030                                                                    2,253,000                2,196,625

Countrywide Home Loans,

   Ser. 2000-5, Cl. B-1, 7.75%, 2030                                                          7,497,737                7,313,135

GE Capital Mortgage Services:

   Ser. 1997-13, Cl. B-1, 6.75%, 2012                                                           439,614                  418,573

   Ser. 1998-1, Cl. B-1, 6.75%, 2013                                                            883,410                  854,519

   Ser. 1998-16, Cl. B-1, 6.5%, 2013                                                            568,117                  531,820

   Ser. 1998-16, Cl. M, 6.5%, 2013                                                            1,704,352                1,646,821

Norwest Asset Securities:

   Ser. 1997-20, Cl. B-1, 6.75%, 2012                                                           892,348                  864,478

   Ser. 1998-14, Cl. B-2, 6.5%, 2013                                                          1,345,866                1,289,047

Ocwen Residential MBS,

   Ser. 1998-R1, Cl. B-1, 7%, 2040                                                            5,756,250  (d)           5,310,141

PNC Mortgage Securities:

   Ser. 1998-2, Cl. 3B2, 6.75%, 2013                                                            695,149                  660,461

   Ser. 1998-2, Cl. 4B2, 6.75%, 2027                                                            641,360                  614,225

   Ser. 1998-11, Cl. 2B2, 6.25%, 2013                                                           480,365                  438,830

   Ser. 2000-C2, Cl. C, 7.64%, 2010                                                          11,000,000               11,089,375

Residential Funding Mortgage Securities I:

   Ser. 1997-S6, Cl. B-1, 7%, 2012                                                              984,006                  961,607

   Ser. 1997-S10, Cl. M-2, 7%, 2012                                                             790,077                  771,399

   Ser. 1997-S11, Cl. M-2, 7%, 2012                                                             667,070                  661,404

   Ser. 1997-S16, Cl. M-2, 6.75%, 2012                                                        1,115,443                1,062,438

   Ser. 1998-S1, Cl. M-2, 6.5%, 2013                                                            993,960                  953,347

   Ser. 1998-S14, Cl. M-2, 6.5%, 2013                                                         1,543,641                1,477,924

   Ser. 1998-S16, Cl. M-1, 6.5%, 2013                                                           972,959                  941,149

   Ser. 1998-S16, Cl. M-2, 6.5%, 2013                                                           347,550                  325,564

TOTAL RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.                                                                         47,748,268

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                  Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

U. S. GOVERNMENTS--2.4%

U. S. Treasury Bonds:

   6.25%, 5/15/2030                                                                           5,500,000                5,860,030

   12%, 8/15/2013                                                                               990,000                1,354,529

U. S. Treasury Inflation Protection Securities,

   3.625%, 7/15/2002                                                                         12,200,000  (f)          13,182,349

U. S. Treasury Notes,

   5.75%, 8/15/2010                                                                           1,000,000  (f)             999,370

TOTAL U. S. GOVERNMENTS                                                                                               21,396,278

TOTAL BONDS AND NOTES

   (cost $1,185,713,687)                                                                                           1,173,440,556
------------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM INVESTMENTS--1.6%
------------------------------------------------------------------------------------------------------------------------------------

REPURCHASE AGREEMENTS--1.3%

  Greenwich Capital Markets,

    6.45% dated 10/31/2000, due 11/1/2000

    in the amount of $11,282,021

    (fully collateralized by $11,824,000

    U. S. Treasury Bills due 4/5/2001,

      value $11,516,001)                                                                     11,280,000               11,280,000

U. S. GOVERNMENTS--.3%

U. S. Treasury Bills:

   5.92%, 11/2/2000                                                                           1,405,000  (g)           1,404,761

   5.95%, 12/21/2000                                                                          1,405,000  (g)           1,392,622

TOTAL U. S. GOVERNMENTS                                                                                                2,797,383

TOTAL SHORT-TERM INVESTMENTS

   (cost $14,077,490)                                                                                                 14,077,383
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $1,199,791,177)                                                                         131.6%            1,187,517,939

LIABILITIES, LESS CASH AND RECEIVABLES                                                          (31.6%)             (285,054,353)

NET ASSETS                                                                                       100.0%              902,463,586

(A)  ADJUSTABLE RATE MORTGAGE--INTEREST RATE SUBJECT TO CHANGE PERIODICALLY.

(B)  PURCHASED ON A FORWARD COMMITMENT BASIS.

(C)  REFLECTS NOTIONAL FACE.

(D)  SECURITIES EXEMPT FROM  REGISTRATION  UNDER RULE 144A OF THE SECURITIES ACT
     OF 1933.  THESE  SECURITIES  MAY BE  RESOLD  IN  TRANSACTIONS  EXEMPT  FROM
     REGISTRATION,  NORMALLY TO QUALIFIED  INSTITUTIONAL  BUYERS. AT OCTOBER 31,
     2000, THESE SECURITIES AMOUNTED $33,346,993 OR 3.7% OF NET ASSETS.

(E)  VARIABLE RATE SECURITY-INTEREST RATE SUBJECT TO CHANGE PERIODICALLY.

     (F)  PRINCIPAL AMOUNT FOR ACCRUAL  PURPOSES IS PERIODICALLY  ADJUSTED BASED
          ON CHANGES TO THE CONSUMER PRICE INDEX.

     (G)  SECURITIES  HELD BY BROKER AS COLLATERAL  FOR OPEN  FINANCIAL  FUTURES
          POSITIONS.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>



STATEMENT OF FINANCIAL FUTURES

October 31, 2000 (Unaudited)

<TABLE>
<CAPTION>


                                                                                                                      Unrealized
                                                              Market Value                                           Appreciation
                                                                   Covered                                         (Depreciation)
                                            Contracts         by Contracts              Expiration              at 10/31/2000 ($)
------------------------------------------------------------------------------------------------------------------------------------
<S>                                               <C>          <C>                  <C>                                <C>

FINANCIAL FUTURES SHORT

U. S. Treasury 5 year Notes                        61            6,141,938           December 2000                        (6,812)

U. S. Treasury 10 year Notes                      275           27,693,359           December 2000                       194,703

                                                                                                                          187,891

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>


                                                             The Fund


STATEMENT OF ASSETS AND LIABILITIES

October 31, 2000 (Unaudited)

                                                             Cost         Value
--------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--
   See Statement of Investments--Note 1(b)          1,199,791,177  1,187,517,939

Receivable for investment securities sold                             18,323,205

Receivable for shares of Common Stock subscribed                           8,968

Interest receivable                                                    7,550,879

Receivable for futures variation margin--Note 4(a)                        68,266

Paydowns receivable                                                        4,869

Prepaid expenses                                                           8,310

                                                                   1,213,482,436
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           691,648

Cash overdraft due to Custodian                                       6,007,256

Payable for investment securities purchased                         303,590,195

Payable for shares of Common Stock redeemed                             241,946

Accrued expenses                                                        487,805

                                                                    311,018,850
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      902,463,586
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                   1,001,390,105

Accumulated undistributed investment income--net                      7,606,400

Accumulated net realized gain (loss) on investments                (94,447,572)

Accumulated net unrealized appreciation (depreciation)
  on investments (including $187,891 net unrealized
  appreciation on financial futures)--Note 4(b)                    (12,085,347)
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      902,463,586
--------------------------------------------------------------------------------

SHARES OUTSTANDING

(1.1 billion shares of $.001 par value Common Stock authorized)      63,937,411

NET ASSET VALUE, offering and redemption price per share ($)              14.11

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF OPERATIONS

Six Months Ended October 31, 2000 (Unaudited)

--------------------------------------------------------------------------------

INVESTMENT INCOME ($):

INTEREST INCOME                                                     33,330,190

EXPENSES:

Management fee--Note 3(a)                                            2,738,008

Shareholder servicing costs--Note 3(b)                               1,140,250

Custodian fees--Note 3(b)                                              112,423

Interest expense--Note 2                                                91,170

Professional fees                                                       37,520

Prospectus and shareholders' reports--Note 3(b)                         29,475

Directors' fees and expenses--Note 3(c)                                 23,786

Registration fees                                                       16,413

Miscellaneous                                                           73,618

TOTAL EXPENSES                                                       4,262,663

INVESTMENT INCOME--NET                                              29,067,527
-------------------------------------------------------------------------------

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

Net realized gain (loss) on investments                                545,960

Net realized gain (loss) on financial futures                      (3,694,590)

NET REALIZED GAIN (LOSS)                                           (3,148,630)

Net unrealized appreciation (depreciation) on investments
  [including $802,414 net unrealized appreciation on financial
futures]                                                            17,957,578

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS              14,808,948

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                43,876,475

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                         October 31, 2000           Year Ended
                                              (Unaudited)       April 30, 2000
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                         29,067,527          62,706,803

Net realized gain (loss) on investments       (3,148,630)         (19,130,997)

Net unrealized appreciation (depreciation)
   on investments                             17,957,578          (27,168,893)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                  43,876,475           16,406,913
--------------------------------------------------------------------------------

NET EQUALIZATION (DEBITS)-NOTE 1(E)            (121,845)            (717,240)
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

INVESTMENT INCOME--NET                       (29,248,634)         (62,737,407)
--------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($):

Net proceeds from shares sold                  54,196,544         118,532,256

Dividends reinvested                           22,340,362          47,809,405

Cost of shares redeemed                      (99,548,608)        (276,671,801)

INCREASE (DECREASE) IN NET ASSETS FROM
   CAPITAL STOCK TRANSACTIONS                (23,011,702)        (110,330,140)

TOTAL INCREASE (DECREASE) IN NET ASSETS       (8,505,706)        (157,377,874)
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           910,969,292        1,068,347,166

END OF PERIOD                                 902,463,586          910,969,292

Undistributed investment income--net            7,606,400            7,909,352
--------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS (SHARES):

Shares sold                                     3,911,247           8,539,358

Shares issued for dividends reinvested          1,614,206           3,417,595

Shares redeemed                               (7,186,030)         (19,858,760)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING  (1,660,577)         (7,901,807)

SEE NOTES TO FINANCIAL STATEMENTS.


FINANCIAL HIGHLIGHTS

The  following table describes the performance for the fiscal periods indicated.
Total return shows how much your investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  derived  from  the  fund's financial
statements.

<TABLE>
<CAPTION>


                                      Six Months Ended

                                      October 31, 2000                                       Year Ended April 30,
                                                                -------------------------------------------------------------------

                                           (Unaudited)          2000          1999            1998            1997           1996
-----------------------------------------------------------------------------------------------------------------------------------
<S>                                               <C>            <C>           <C>            <C>             <C>             <C>
PER SHARE DATA ($):

Net asset value,
   beginning of period                          13.89          14.54         14.99          14.44           14.50           14.32

Investment Operations:

Investment income--net                            .45            .90           .92            .91             .92             .96

Net realized and unrealized
   gain (loss) on investments                     .22           (.65)         (.46)           .55            (.05)            .18

Total from Investment Operations                  .67            .25           .46           1.46             .87            1.14

Distributions:

Dividends from investment
   income--net                                  (.45)          (.90)          (.91)           (.91)           (.93)          (.96)

Net asset value, end of period                  14.11         13.89          14.54           14.99           14.44           14.50
-----------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                             10.06(a)          1.75           3.17           10.38            6.17            8.11
-----------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of operating expenses to
   average net assets                          .91(a)           .92            .94             .96             .96             .96

Ratio of interest expense
   and loan commitment fees
   to average net assets                       .02(a)             --           .25              --              --              --

Ratio of net investment income
   to average net assets                      6.37(a)           6.40          6.19             6.16            6.38            6.57

Portfolio Turnover Rate                     206.77(b)         420.18        206.15           342.71          323.99          144.43
-----------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                902,464        910,969     1,068,347         1,172,792      1,240,459       1,373,618

(A) ANNUALIZED.

(B) NOT ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>


                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

Dreyfus  GNMA 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 an investor
with as high a level of current income as is consistent with the preservation of
capital  by  investing  principally  in  instruments  issued  by  the Government
National Mortgage Association. The Dreyfus Corporation (the "Manager") serves as
the  fund' s  investment  adviser.  The Manager is a direct subsidiary of Mellon
Bank, N.A., which is a wholly-owned subsidiary of Mellon Financial Corporation.

Dreyfus  Service  Corporation  (the "Distributor"), a wholly-owned subsidiary of
the  Manager,  is  the  Distributor  of the fund's shares, which are sold to the
public without a sales charge.

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

(a)   Portfolio  valuation:  Investments  in  securities  (excluding  short-term
investments,  other  than U.S. Treasury Bills, and financial futures) are valued
each  business day by an independent pricing service ("Service") approved by the
Board  of  Directors.  Investments  for  which  quoted  bid  prices  are readily
available  and  are representative of the bid side of the market in the judgment
of the Service are valued at the mean between the quoted bid prices (as obtained
by  the Service from dealers in such securities) and asked prices (as calculated
by  the  Service  based  upon its evaluation of the market for such securities).
Other  investments (which constitute a majority of the portfolio securities) are
carried  at  fair  value  as  determined  by the Service, based on methods which
include  consideration of: yields or prices of securities of comparable quality,
coupon,  maturity  and  type; indications as to values from dealers; and general
market  conditions.  Short-term  investments, excluding U.S. Treasury Bills, are
carried    at    amortized    cost,    which

approximates  value.  Financial futures are valued at the last sale price on the
securities exchange on which such securities are primarily traded or at the last
sales price on the national securities market on each business day.

(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.  Interest  income
including,  where applicable, amortization of discount on short-term investments
is  recognized  on  the accrual basis. Under the terms of custody agreement, the
fund  received  net earnings credits of $117,465 during the period ended October
31, 2000 based on available cash balances left on deposit. Interest earned under
this arrangement is included in interest income.

The  fund  may  enter  into  repurchase  agreements with financial institutions,
deemed  to  be  creditworthy  by  the  fund' s  Manager, subject to the seller's
agreement  to repurchase and the fund's agreement to resell such securities at a
mutually   agreed   upon  price.  Securities  purchased  subject  to  repurchase
agreements are deposited with the fund's custodian and, pursuant to the terms of
the  repurchase  agreement,  must have an aggregate market value greater than or
equal  to  the repurchase price plus accrued interest at all times. If the value
of  the underlying securities falls below the value of the repurchase price plus
accrued  interest,  the  fund  will  require  the  seller  to deposit additional
collateral by the next business day. If the request for additional collateral is
not met, or the seller defaults on its repurchase obligation, the fund maintains
the  right  to  sell the underlying securities at market value and may claim any
resulting loss against the seller.

(c)  Dividends  to shareholders: Dividends are recorded on the ex-dividend date.
Dividends  from  investment  income-net are declared and paid monthly. Dividends
from net realized capital gain, if any, 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
Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

(the" 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.

On  October  31,  2000, the Board of Directors declared a cash dividend of $.077
per  share from undistributed investment income-net, payable on November 1, 2000
(ex-dividend  date)  to  shareholders  of  record as of the close of business on
October 31, 2000.

(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 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 $79,624,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  April 30, 2000. If not
applied, $58,671,000 of the carryover expires in fiscal 2003, $5,711,000 expires
in  fiscal  2005,  $6,916,000  expires  in fiscal 2007 and $8,326,000 expires in
fiscal 2008.

(e)   Equalization:   The   fund   follows  the  accounting  practice  known  as
" equalization"  by which a portion of the amounts received on issuances and the
amounts paid on redemptions of fund shares (equivalent, on a per share basis, to
the   amount   of  distributable  investment  income-net  on  the  date  of  the
transaction)  is  allocated  to  undistributed  investment  income-net  so  that
undistributed  investment  income-net  per  share  is  unaffected by fund shares
issued or redeemed.

NOTE 2--Bank Line of Credit:

The fund may borrow up to $20 million for leveraging purposes under a short-term
unsecured  line of credit and 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.
During  the  period ended October 31, 2000, the fund did not borrow under either
line of credit.

NOTE 3--Management Fee and Other Transactions With Affiliates:

(a)  Pursuant  to  a  management  agreement  ("Agreement") with the Manager, the
management  fee  is computed at the annual rate of .60 of 1% of the value of the
fund' s  average daily net assets and is payable monthly. The Agreement provides
that if in any full year the aggregate expenses of the fund, exclusive of taxes,
brokerage,  interest  on borrowings, commitment fees and extraordinary expenses,
exceed  11_2%  of the value of the fund's average daily net assets, the fund may
deduct  from  payments  to  be made to the Manager, or the Manager will bear the
amount  of  such  excess.  No  expense reimbursement was required for the period
ended October 31, 2000, pursuant to the Agreement.

(b) Under the Service Plan (the "Plan") adopted pursuant to Rule 12b-1 under the
Act,  the  fund  pays  the  Distributor  for distributing the fund's shares, for
servicing shareholder accounts and for advertising and marketing relating to the
fund.  The Plan provides for payments to be made at an aggregate annual rate not
to  exceed  .20  of  1% of the value of the fund's average daily net assets. The
Distributor  determines  the  amounts,  if  any, to be paid to Service Agents to
which  it  will make payments and the basis on which such payments are made. The
Plan  also  separately  provides  for  the  fund to bear the costs of preparing,
printing  and  distributing certain of the fund's prospectuses and statements of
additional  information and costs associated with implementing and operating the
Plan,  not  to  exceed the greater of $100,000 or .005 of 1% of the value of the
fund' s  average  daily  net  assets for any full fiscal year. During the period
ended October 31, 2000, the fund was charged $679,379 pursuant to the Plan.

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under   a   transfer   agency   agreement   for   provid   The   Fun

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

ing  personnel  and facilities to perform transfer agency services for the fund.
During the period ended October 31, 2000, the fund was charged $279,821 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 October 31, 2000, the fund was
charged $112,423 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 $4,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

NOTE 4--Securities Transactions:

(a)  The  aggregate  amount  of  purchases  and  sales  (including  paydowns) of
investment  securities,  excluding  short-term securities and financial futures,
during  the  period  ended  October  31,  2000,  amounted  to $2,407,897,025 and
$2,415,941,081, respectively.

The  fund may invest in financial futures contracts in order to gain exposure to
or  protect against changes in the market. The fund is exposed to market risk as
a  result  of  changes  in  the  value  of the underlying financial instruments.
Investments in financial futures require the fund to "mark to market" on a daily
basis,  which  reflects  the  change in the market value of the contracts at the
close of each day's trading. Accordingly, variation margin payments are received
or  made  to  reflect  daily  unrealized gains or losses. When the contracts are
closed,  the  fund recognizes a realized gain or loss. These investments require
initial  margin  deposits  with  a  custodian,  which  consist  of  cash or cash
equivalents, up to approximately 10% of the contract amount. The amount of these
deposits  is  determined by the exchange or Board of Trade on which the contract
is  traded and is subject to change. Contracts open at October 31, 2000, are set
forth in the Statement of Financial Futures.


(b)  At October 31, 2000, accumulated net unrealized depreciation on investments
and financial futures was $12,085,347, consisting of $8,924,754 gross unrealized
appreciation and $21,010,101 gross unrealized depreciation.

At October 31, 2000, 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).

Note 5--Reverse Repurchase Agreements:

The  fund  may  enter  into reverse repurchase agreements with banks, brokers or
dealers.  This  form  of  borrowing  involves  the  transfer  by  the fund of an
underlying  debt instrument in return for cash proceeds based on a percentage of
value  of  the  security.  The  fund  retains  the right to receive interest and
principal  payments  on  the  security.  At an agreed upon future date, the fund
repurchases  the security at principal plus accrued interest. Reverse repurchase
agreements  may  subject the fund to interest rate risk and counter party credit
risk.  During the period ended October 31, 2000, the fund did not enter into any
reverse repurchase agreements.

                                                             The Fund

                                                           For More Information

                        Dreyfus

                        GNMA Fund, Inc.
                        200 Park Avenue
                        New York, NY 10166

                      Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                      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

                      Distributor

                        Dreyfus Service Corporation
                        200 Park Avenue
                        New York, NY 10166

To obtain information:

BY TELEPHONE Call 1-800-645-6561

BY MAIL  Write to:
The Dreyfus Family of Funds
144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request to [email protected]

ON THE INTERNET  Information can be viewed online or downloaded from:

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                  265SA0010





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