DREYFUS BASIC GNMA FUND
N-30D, 2000-08-25
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Dreyfus

BASIC GNMA Fund

SEMIANNUAL REPORT June 30, 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

                            10   Statement of Financial Futures

                            11   Statement of Assets and Liabilities

                            12   Statement of Operations

                            13   Statement of Changes in Net Assets

                            14   Financial Highlights

                            15   Notes to Financial Statements

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

                                 Back Cover

                                                                       The Fund

                                                       Dreyfus  BASIC GNMA Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to present this semiannual report for Dreyfus BASIC GNMA Fund,
covering  the  six-month  period  from  January  1,  2000 through June 30, 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.

Tighter monetary policy adversely affected most -- but not all -- sectors of the
bond  market over the past six months. This was primarily a result of efforts by
the  Federal  Reserve  Board  (the  "Fed" ) to  forestall potential inflationary
pressures.  The  Fed  raised  short-term  interest  rates three times during the
reporting  period,  for  a  total increase of 1.00 percentage points. These rate
hikes  contributed  to  a total interest-rate increase of 1.75 percentage points
since late June 1999, before the current reporting period began.

Higher  interest  rates  led to an erosion of most bond prices, especially among
higher  yielding  securities.  U.S.  Treasury  securities  represented a notable
exception.  Prices  of  these  direct obligations of the federal government rose
primarily because of reduced supply amid robust demand from domestic and foreign
investors.

We  appreciate  your confidence over the past six months, and we look forward to
your continued participation in Dreyfus BASIC GNMA Fund.

Sincerely,


Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
July 17, 2000




DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager

How did Dreyfus BASIC GNMA Fund perform relative to its benchmark?

For  the  six-month  period ended June 30, 2000, the fund produced a 4.18% total
return.(1)  In comparison, the fund's benchmark, the Lehman Brothers GNMA Index,
produced a total return of 4.12% for the same period.(2 )

We  attribute  the  fund' s  competitive  performance  to  our sector allocation
strategy,  which  enabled us to participate in some of the best-performing areas
of  the  mortgage-backed  securities market, including adjustable-rate mortgages
that  benefited from a rising interest-rate environment. Late in the period, the
fund   also  received  attractive  returns  from  its  investments  in  non-GNMA
securities, which rebounded strongly as earlier regulatory concerns subsided.

What is the fund's investment approach?

The  fund  invests primarily in Government National Mortgage Association ("GNMA"
or  "Ginnie  Mae" ) securities.  The  fund  may  also  invest  in  U.S. Treasury
securities,   asset-backed   securities  and  other  non-agency  mortgage-backed
securities.  The  fund' s  goal  is  to  provide  a high level of current income
consistent with capital preservation.

We typically use a four-step investment approach:

*PREPAYMENT  TREND ANALYSIS MEASURES the rate at which homeowners are likely to
prepay their mortgages because of home sales or refinancing. An increase in this
trend  can  adversely  affect  returns  provided by mortgage-related securities.

*OPTION-ADJUSTED  SPREAD ANALYSIS compares the early redemption characteristics
of  different  mortgage-backed  securities  with  other securities, such as U.S.
Treasuries to help us measure their vulnerability to early redemption.

                                                             The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

*CASH  FLOW  STRUCTURE  ANALYSIS  helps  us  determine  the  predictability and
security  of  cash  flows  provided  by  different  bond structures. We evaluate
fixed-rate versus floating-rate securities, as well as different maturities such
as 15-, 20- and 30-year mortgages.

*TOTAL-RATE-OF-RETURN  SCENARIOS  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?

First,  the  fund  was  influenced by inflation fears and rising interest rates.
When   the  reporting  period  began  on  January  1,  2000,  we  were  becoming
increasingly  concerned  that robust economic growth might rekindle long-dormant
inflationary  pressures,  especially with wages rising in a tight job market. In
an attempt to ease these pressures, the Federal Reserve Board (the "Fed") raised
short-term  interest rates three times during the reporting period, causing most
bond prices to fall. These interest-rate hikes followed three previous increases
implemented  before  the current reporting period began, for a total increase of
1.75 percentage points since June 1999. Although rising interest rates hurt most
bond  market  sectors,  mortgage-backed  securities generally declined less than
other  types  of  securities  because higher interest rates reduce the risk that
homeowners will prepay their mortgages.

Second,  the  fund responded to forces that are unique to individual bond market
sectors.  For example, in the wake of negative comments in Congress and the U.S.
Treasury  Department, prices of some U.S. Government agency securities declined,
including  those  issued  by Federal National Home Mortgage Association ("Fannie
Mae" ) and  Federal  Home  Loan  Corporation  ("Freddie Mac"). At the same time,
prices  of  Ginnie  Mae  securities, which are direct obligations of the federal
government,  rose  as  investors shifted assets from one sector to another. This
shift made by investors benefited the fund's performance.


What is the fund's current strategy?

We  have  recently  made  efforts  to  reduce  the  fund' s exposure to non-U.S.
Government-guaranteed securities in case of an economic slowdown. While economic
growth  has remained robust during the first half of 2000, we have recently seen
signs  that  the  Fed's interest-rate hikes may be having a moderating effect on
the   economy.   Therefore,   we   have   reduced  our  holdings  of  commercial
mortgage-backed securities and other instruments that are not direct obligations
of the federal government or its agencies. Accordingly, as of June 30, 2000, our
sector allocation strategy involved a 75% position in Ginnie Mae mortgage-backed
securities  and  about  25%  in  non-GNMA  securities,  including collateralized
mortgage  obligations,  commercial mortgage-backed securities, project loans and
pass-through securities issued by Fannie Mae and Freddie Mac.

In  this environment, we have maintained the fund's average duration --a measure
of  sensitivity  to changing interest rates -- at approximately 4.4 years, which
is  about  2%  longer  than  our  "neutral"  position.  This modest extension is
intended  to  help us lock in prevailing yields for a longer time if the economy
slows and interest rates begin to decline.

July 17, 2000

(1)  TOTAL RETURN INCLUDES REINVESTMENT OF DIVIDENDS AND ANY CAPITAL GAINS PAID.
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. PERFORMANCE FIGURES PROVIDED REFLECT THE
ABSORPTION OF FUND EXPENSES BY THE DREYFUS CORPORATION PURSUANT TO AN AGREEMENT
IN WHICH SHAREHOLDERS ARE GIVEN AT LEAST 90 DAYS NOTICE, AT WHICH TIME IT MAY BE
EXTENDED, TERMINATED OR MODIFIED. HAD THESE EXPENSES NOT BEEN ABSORBED, THE
FUND'S RETURNS WOULD HAVE BEEN LOWER.

(2)  SOURCE: LEHMAN BROTHERS -- REFLECTS REINVESTMENT OF DIVIDENDS AND, WHERE
APPLICABLE, CAPITAL GAIN DISTRIBUTIONS. THE LEHMAN BROTHERS GNMA INDEX
(UNHEDGED) 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

June 30, 2000 (Unaudited)
<TABLE>
<CAPTION>

STATEMENT OF INVESTMENTS

                                                                                              Principal
BONDS AND NOTES--143.4%                                                                      Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

U.S. GOVERNMENT AGENCIES/

  MORTGAGE-BACKED--110.0%

Government National Mortgage Association I:

<S>                                                                                             <C>                      <C>
   6.5%, 10/15/2010-5/15/2011                                                                   225,330                  221,154

   7%, 1/15/2024-2/15/2024                                                                    1,241,080                1,217,622

   7.5%, 12/15/2023                                                                             246,013                  244,552

   8%, 4/15/2008-12/15/2022                                                                   6,332,519                6,418,952

   8.5%, 2/15/2005-3/15/2022                                                                    739,247                  763,976

   9%, 5/15/2016-11/15/2022                                                                     586,736                  613,243

   9.5%, 1/15/2017-12/15/2021                                                                   313,441                  329,491

   Project Loans:

      6.32%, 10/15/2033                                                                       2,557,389                2,405,532

      6.375%, 10/15/2033-1/15/2034                                                            4,335,626                4,132,845

      6.4%, 10/15/2033                                                                        1,825,181                1,755,588

      6.41%, 8/15/2028                                                                          983,906                  947,925

      6.43%, 9/15/2033                                                                        1,480,043                1,400,950

      6.45%, 3/15/2034-11/15/2033                                                             5,475,678                5,241,918

      6.55%, 12/15/2033                                                                         695,760                  668,800

      6.6%, 5/15/2028                                                                         1,902,377                1,826,872

      6.625%, 8/15/2028-1/15/2034                                                            15,236,872               14,749,082

      6.7%, 3/15/2028                                                                           632,872                  622,190

      6.75%, 12/15/2023-9/15/2036                                                            13,201,189               12,772,151

Government National Mortgage Association II:

   6%                                                                                         2,000,000  (a,b)         1,958,120

   6%, 4/20/2030                                                                              5,148,254  (b)           5,035,611

   7%, 8/20/2028-9/1/2028                                                                     2,419,634                2,347,795

   8%                                                                                        41,675,000  (a,b)        41,794,498

   8%, 9/20/2029-2/20/2034                                                                    1,659,394                1,670,411

   9%, 5/20/2016-7/20/2025                                                                      445,909                  456,694

   9.5%, 9/20/2021-12/20/2021                                                                    97,480                  101,503

Federal Home Loan Mortgage Corp.,

  Stripped Securities, Interest Only Class:

   Ser. 1541, Cl. FA, 7%, 5/15/2019                                                           4,904,658  (c)             393,403

   Ser. 1542, Cl. QC, 7%, 10/15/2020                                                            624,792  (c)              55,194

   Ser. 1590, Cl. JA, 6.5%, 10/15/2021                                                        6,000,000  (c)             830,472

   Ser. 1596, Cl. L, 6.5%, 12/15/2012                                                            27,655  (c)               2,956

   Ser. 1916, Cl. PI, 7%, 12/15/2011                                                          1,001,417  (c)             207,023

   Ser. 1987, Cl. PI, 7%, 9/15/2012                                                           1,045,340  (c)             220,190

Federal Housing Administration,

  Project Loans:

   7.2%, 2/1/2033                                                                             1,109,756                1,054,615

   7.625%, 4/1/2031                                                                           1,227,531                1,191,473



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

U.S. GOVERNMENT AGENCIES/

  MORTGAGE-BACKED (CONTINUED)

Federal National Mortgage Association:

   7.5%                                                                                       6,600,000  (a)           6,505,092

   Deb.:

      7.125%, 2007                                                                            1,000,000                1,004,240

      7.25%, 2010                                                                             1,500,000                1,514,825

   Stripped Securities, Interest Only Class:

      Ser. 1993-119, Cl. JA, 7%, 5/25/2019                                                      131,418  (c)                 714

      Ser. 1997-74, Cl. PK, 7%, 11/18/2027                                                    4,000,000  (c)           1,513,984

                                                                                                                     124,191,656

ASSET-BACKED CTFS.--9.5%

Conseco Finance Securitizations,

   Ser. 2000-1, Cl. A-3, 7.3%, 2031                                                           1,000,000                  996,215

Countrywide,

   Ser. 2000-2, Cl. AF-5, 8.12%, 2031                                                         2,000,000                1,999,375

The Money Store Home Equity Trust,

   Ser. 1998-B, Cl. AF-8, 6.11%, 2010                                                         1,000,000                  956,875

Nomura Depositor Trust:

   Ser. 1998-ST1, Cl. A-3, 7.231%, 2003                                                         500,000  (d,e)           493,359

   Ser. 1998-ST1, Cl. A-5, 7.901%, 2003                                                       3,500,000  (d,e)         3,368,203

Residential Funding Mortgage Securities II,

   Ser. 2000-HI3, Cl. AI-2, 7.97%, 2010 (Insured; AMBAC)                                      2,000,000                2,007,188

WFS Financial Owner Trust,

   Ser. 2000-A, Cl. A-4, 7.41%, 2007                                                          1,000,000                  974,063

                                                                                                                      10,795,278

COMMERCIAL MORTGAGE PASS-THROUGH CTFS.--5.9%

CS First Boston Mortgage Securities,

   Ser. 1998-C1, Cl. C, 6.78%, 2009                                                           1,000,000                  931,316

GGP Ala Moana,

   Ser. 1999-C1, Cl. D, 7.735%, 2004                                                            250,000  (d,e)           250,156

Heller Financial Commercial Mortgage,

   Ser. 2000-PH1, Cl. C, 8.208%, 2010                                                         1,500,000  (e)           1,517,344

Morgan (J.P.) Commercial Mortgage Finance,

   Ser. 2000-C9, Cl. C, 8.199%, 2032                                                          1,000,000  (e)           1,012,447

PNC Mortgage Acceptance,

   Ser. 2000-C1, Cl. A-2, 7.61%, 2010                                                           3000000                3,002,813

                                                                                                                       6,714,076

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)


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

RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.--13.3%

BA Mortgage Securities,

   Ser. 1998-2, Cl. 2B-2, 6.5%, 2013                                                            281,883                  252,107

Chase Mortgage Finance,

   Ser. 1998-S3, Cl. B-2, 6.5%, 2013                                                            617,317                  558,728

Norwest Asset Securities:

   Ser. 1997-3, Cl. B-1, 7.25%, 2027                                                          2,414,459                2,271,425

   Ser. 1997-3, Cl. B-2, 7.25%, 2027                                                            965,784                  872,381

   Ser. 1997-7, Cl. B-2, 7%, 2027                                                               772,674                  686,103

   Ser. 1997-9, Cl. B-2, 7%, 2012                                                               413,285                  385,772

   Ser. 1997-11, Cl. B-2, 7%, 2027                                                              511,373                  452,897

   Ser. 1997-15, Cl. B-2, 6.75%, 2012                                                           601,053                  553,845

   Ser. 1997-20, Cl. B-2, 6.75%, 2012                                                           379,335                  348,896

   Ser. 1998-18, Cl. B-3, 6.25%, 2028                                                           857,644                  709,494

Ocwen Residential MBS,

   Ser. 1998-R1, Cl. B-1, 7%, 2040                                                              385,873  (d)             348,431

PNC Mortgage Securities:

   Ser. 1997-8, Cl. 3B-3, 6.75%, 2012                                                           279,298                  256,759

   Ser. 1998-2, Cl. 3B-3, 6.75%, 2013                                                           529,701                  485,582

   Ser. 1998-2, Cl. 4B-3, 6.75%, 2027                                                           387,478                  338,811

   Ser. 1998-11, Cl. 2B-3, 6.25%, 2013                                                          488,404                  428,558

Residential Accredit Loans:

   Ser. 1997-QS6, Cl. M-2, 7.5%, 2012                                                           930,595                  911,726

   Ser. 1997-QS6,Cl. M-3, 7.5%, 2012                                                            604,883                  577,538

Residential Funding Mortgage Securities I:

   Ser. 1997-S10, Cl. M-3, 7%, 2012                                                             469,606                  437,785

   Ser. 1997-S11, Cl. M-3, 7%, 2012                                                             680,143                  634,495

   Ser. 1997-S19, Cl. M-3, 6.5%, 2012                                                           618,047                  561,298

   Ser. 1997-S21, Cl. M-3, 6.5%, 2012                                                           356,538                  323,879

   Ser. 1998-NS1, Cl. M-2, 6.375%, 2009                                                         134,370                  127,460

   Ser. 1998-NS1, Cl. M-3, 6.375%, 2009                                                          67,185                   62,407

   Ser. 1998-S9, Cl. 1M-3, 6.5%, 2013                                                           939,560                  850,772

   Ser. 1998-S14, Cl. M-3, 6.5%, 2013                                                           785,308                  710,495

   Ser. 1998-S30, Cl. M-3, 6.5%, 2028                                                           984,821                  827,865

                                                                                                                      14,975,509

U. S. GOVERNMENTS--4.7%

U. S. Treasury Inflation Protection Securities:

   3.625%, 7/15/2002                                                                          2,000,000  (f)           2,123,655

   3.875%, 4/15/2029                                                                          1,600,000  (f)           1,661,357


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

U. S. GOVERNMENTS (CONTINUED)

U. S. Treasury Notes,

   6.5%, 2/15/2010                                                                            1,500,000                1,549,650

                                                                                                                       5,334,662

TOTAL BONDS AND NOTES

   (cost $165,311,159)                                                                                               162,011,181
------------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM INVESTMENTS--1.1%
--------------------------------------------------------------------------------

U. S. GOVERNMENTS--.5%

U. S. Treasury Bills:

   5.64%, 7/27/2000                                                                             340,000  (g)             338,796

   5.65%, 7/20/2000                                                                             195,000  (g)             194,501

                                                                                                                         533,297

U. S. GOVERNMENT AGENCIES--.6%

Federal Home Loan Banks,

  Discount Notes,

   6.3%, 7/3/2000                                                                               675,000                  674,764

TOTAL SHORT-TERM INVESTMENTS

   (cost $1,207,800)                                                                                                   1,208,061
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS                                                                                144.5%              163,219,242

   (cost $166,518,959)

LIABILITIES, LESS CASH AND RECEIVABLES                                                           (44.5%)             (50,262,942)

NET ASSETS                                                                                       100.0%              112,956,300

(A) PURCHASED ON A FORWARD COMMITMENT BASIS.

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

(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 JUNE 30, 2000,
THESE SECURITIES AMOUNTED TO $4,460,149 OR 3.9% 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 IN WHOLE OR IN PART BY THE CUSTODIAN IN A SEGREGATED
ACCOUNT AS COLLATERAL FOR OPEN FINANCIAL FUTURES POSITIONS.
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

<TABLE>
<CAPTION>

STATEMENT OF FINANCIAL FUTURES

June 30, 2000 (Unaudited)

                                                                                                  Unrealized
                                                          Market Value                          Appreciation
                                                           Covered by                          (Depreciation)
                                            Contracts    Contracts ($)       Expiration      at 6/30/2000 ($)
------------------------------------------------------------------------------------------------------------------------------------

FINANCIAL FUTURES SHORT

<S>                                               <C>      <C>           <C>                         <C>
U. S. Treasury 5 year Notes                       117      (11,584,828)  September 2000              (125,297)

U. S. Treasury Bonds                              178      (17,327,188)  September 2000              (553,469)

FINANCIAL FUTURES LONG

U. S. Treasury 10 year Notes                        7          689,391   September 2000                (1,422)

U. S. Treasury 10 year
   Agency Notes                                    32        2,959,500   September 2000                86,469

                                                                                                     (593,719)

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>



STATEMENT OF ASSETS AND LIABILITIES

June 30, 2000 (Unaudited)

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           166,518,959   163,219,242

Cash                                                                    212,468

Interest receivable                                                   1,096,119

Receivable for shares of Beneficial Interest subscribed                 133,515

Receivable for investment securities sold                                28,400

Receivable for futures variation margin--Note 4(a)                       21,281

Paydowns receivable                                                       3,911

Prepaid expenses                                                         11,842

                                                                    164,726,778
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            53,715

Payable for investment securities purchased                          51,503,394

Payable for shares of Beneficial Interest redeemed                      153,078

Accrued expenses                                                         60,291

                                                                     51,770,478
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      112,956,300
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     117,470,456

Accumulated undistributed investment income--net                          9,001

Accumulated net realized gain (loss)
  on investments and financial futures
                                                                       (629,721)

Accumulated net unrealized appreciation (depreciation)
   on investments [including ($593,719) net unrealized
   (depreciation) on financial futures]--Note 4(b)                   (3,893,436)
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      112,956,300
--------------------------------------------------------------------------------

SHARES OUTSTANDING

(unlimited number of $.001 par value
  shares of Beneficial Interest authorized)
                                                                      7,784,120

NET ASSET VALUE, offering and redemption price per share ($)              14.51

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


STATEMENT OF OPERATIONS

Six Months Ended June 30, 2000 (Unaudited)

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      3,887,004

EXPENSES:

Management fee--Note 3(a)                                              329,012

Shareholder servicing costs--Note 3(b)                                 128,136

Professional fees                                                       19,646

Trustees' fees and expenses--Note 3(c)                                  19,437

Custodian fees--Note 3(b)                                               16,202

Registration fees                                                       12,660

Prospectus and shareholders' reports                                     5,879

Interest expense--Note 5                                                 5,825

Miscellaneous                                                            5,981

TOTAL EXPENSES                                                         542,778

Less--reduction in management fee due to

   undertaking--Note 3(a)                                             (180,519)

NET EXPENSES                                                           362,259

INVESTMENT INCOME--NET                                               3,524,745
--------------------------------------------------------------------------------

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

Net realized gain (loss) on investments                                (38,646)

Net realized gain (loss) on financial futures                           34,965

NET REALIZED GAIN (LOSS)                                                (3,681)

Net unrealized appreciation (depreciation) on investments

   [including ($959,836) net unrealized
   (depreciation) on financial futures]                                935,960

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                 932,279

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 4,457,024

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                            June 30, 2000          Year Ended
                                               (Unaudited)  December 31, 1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          3,524,745            7,029,822

Net realized gain (loss) on investments            (3,681)             517,315

Net unrealized appreciation (depreciation)
   on investments                                 935,960           (4,354,884)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                    4,457,024            3,192,253
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net                         (3,537,666)          (7,019,327)

Net realized gain on investments                      --              (469,048)

In excess of net realized gain on investments         --              (170,796)

TOTAL DIVIDENDS                                (3,537,666)          (7,659,171)
--------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold                  15,130,789           47,925,201

Dividends reinvested                            2,668,602            5,675,387

Cost of shares redeemed                       (18,014,235)         (33,728,168)

INCREASE (DECREASE) IN NET ASSETS
   FROM BENEFICIAL INTEREST TRANSACTIONS         (214,844)          19,872,420

TOTAL INCREASE (DECREASE) IN NET ASSETS           704,514           15,405,502
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           112,251,786           96,846,284

END OF PERIOD                                 112,956,300          112,251,786

Undistributed investment income--net                9,001               21,922
--------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS (SHARES):

Shares sold                                     1,057,564            3,250,861

Shares issued for dividends reinvested            186,549              387,227

Shares redeemed                                (1,259,585)          (2,292,435)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING     (15,472)           1,345,653

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

<TABLE>
<CAPTION>

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.

                                              Six Months Ended
                                              June 30, 2000                         Year Ended December 31,
                                              ----------------    -------------------------------------------------------------

                                                (Unaudited)       1999       1998       1997           1996          1995
------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

Net asset value,
<S>                                                  <C>         <C>        <C>        <C>            <C>           <C>
   beginning of period                               14.39       15.01      15.32      15.14          15.42         14.16

Investment Operations:

Investment income--net                                 .46         .96        .97        .99            .98          1.03

Net realized and unrealized

   gain (loss) on investments                          .12        (.54)      (.26)       .41           (.27)         1.25

Total from Investment Operations                       .58         .42        .71       1.40            .71          2.28

Distributions:

Dividends from investment
   income--net                                        (.46)       (.96)      (.97)      (.99)          (.99)        (1.02)

Dividends from net realized
   gain on investments                                  --        (.06)      (.05)      (.23)            --            --

Dividends in excess of net
   realized gain on investments                         --        (.02)        --         --             --            --

Total Distributions                                   (.46)      (1.04)     (1.02)     (1.22)          (.99)        (1.02)

Net asset value, end of period                       14.51       14.39      15.01      15.32          15.14         15.42
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                      8.38(a)     2.82       4.71       9.55           4.81         16.62
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of operating expenses
    to average net assets                              .65(a)      .65        .65        .65            .65           .50

Ratio of interest expense
   and loan commitment

   fees to average net assets                          .01(a)      .90        .17         --             --            --

Ratio of net investment income

   to average net assets                              6.41(a)     6.54       6.34       6.46           6.50          6.86

Decrease reflected in above
   expense ratios due to
   undertakings by
   The Dreyfus Corporation                             .33(a)      .34        .39        .42            .52           .78

Portfolio Turnover Rate                             341.66(b)   366.43     388.97     534.25         332.96        254.36
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                     112,956     112,252     96,846     75,930         57,665        55,615

(A) ANNUALIZED.

(B) NOT ANNUALIZED.
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.



NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

Dreyfus  BASIC GNMA Fund (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
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.  (" Mellon"), which is a wholly-owned subsidiary of Mellon Financial
Corporation.  Effective  March  22, 2000, Dreyfus Service Corporation ("DSC"), a
wholly-owned  subsidiary  of  the  Manager, became the distributor of the fund's
shares,  which are sold to the public without a sales charge. Prior to March 22,
2000, Premier Mutual Fund Services, Inc. was the distributor.

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  (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 Trustees. 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,
                                                                        The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

excluding U.S. Treasury Bills, are carried at amortized cost, which approximates
value.  Financial  futures  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 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 the custody
agreement,  the  fund  receives  net  earnings  credits  based on available cash
balances left on deposit.

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: It is the policy of the fund to declare dividends
daily  from  investment  income-net.  Such dividends are paid monthly. 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.


(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.

NOTE 2--Bank Line of Credit:

The  fund  participates  with  other  Dreyfus-managed  funds  in  a $100 million
unsecured  line  of  credit  primarily to be utilized for temporary or emergency
purposes,  including  the  financing  of redemptions. Interest is charged to the
fund  at rates which are related to the Federal Funds rate in effect at the time
of  borrowings.  During  the period ended June 30, 2000, the fund did not borrow
under the 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 Manager had
undertaken until such time as they give shareholders at least 90 days' notice to
the  contrary,  if  the  aggregate  expenses  of  the  fund, exclusive of taxes,
brokerage  fees,  interest  on  borrowings,  commitment  fees  and extraordinary
expenses,  but  including the management fee, exceed an annual rate of .65 of 1%
of  the  value  of the fund's average daily net assets, the fund may deduct from
the  payments  to  be made to the Manager under the Management Agreement, or the
Manager  will  bear,  such  excess  expense.  The  reduction  in management fee,
pursuant  to  the undertaking, amounted to $180,519 during the period ended June
30, 2000.

The undertaking may be extended, modified or terminated by the Manager, provided
that  the  resulting  expense  reimbursement  would  not be less than the amount
required pursuant to the Agreement.

(b)  Under  the Shareholder Services Plan, the fund reimburses DSC an amount not
to exceed an annual rate of .25 of 1% of the value of the
                                                                        The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

fund' s  average  daily  net  assets for certain allocated expenses of providing
personal services and/or maintaining shareholder accounts. 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.  During  the  period ended June 30, 2000, the fund was charged $81,000
pursuant to the Shareholder Services Plan.

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the fund. During the period
ended  June  30,  2000,  the  fund  was charged $35,787 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 June 30, 2000, the fund was
charged $16,202 pursuant to the custody agreement.

(c)  Each  Board  member also serves as a Board member of other funds within the
Dreyfus complex (collectively, the "Fund Group"). Effective April 11, 2000, each
Board member who is not an "affiliated person" as defined in the Act receives an
annual fee of $30,000 and an attendance fee of $4,000 for each in person meeting
and $500 for telephone meetings. These fees are allocated among the funds in the
Fund  Group.  The  Chairman  of  the  Board  receives  an additional 25% of such
compensation.  Prior  to  April  11,  2000,  each  Board  member  who was not an
" affiliated  person" as defined in the Act received from the fund an annual fee
of  $2,500  and an attendance fee of $250 per meeting. The Chairman of the Board
received  an additional 25% of such compensation. Subject to the fund's Emeritus
Program  Guidelines,  Emeritus  Board members, if any, receive 50% of the fund's
annual  retainer  fee  and  per  meeting  fee  paid at the time the Board member
achieves emeritus status.


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  June  30,  2000,  amounted  to  $531,963,776  and
$530,393,723, 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 instruments. Investments in
financial  futures  require  the fund to "mark to market" on a daily basis; this
represents  the  change in the market value of the contract 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 June 30, 2000, are set forth in the
Statement of Financial Futures.

The  fund  may  purchase  or  sell securities on a forward commitment basis. The
price  of  the  underlying  securities  is  fixed at the time the transaction is
negotiated  and  settlement may take place a month or more after that date. With
respect to purchase commitments, the fund will identify securities as segregated
in  its  records  with  a value at least equal to the amount of its commitments.
Losses  may  arise  due  to  changes  in  the  market  value  of  the underlying
securities,  if  the  counter-party  does  not  meet the terms of the settlement
agreement,  or  if  the  issuer  does not issue the securities due to political,
economic, or other factors.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

(b) At June 30, 2000, accumulated net unrealized depreciation on investments and
financial  futures  was  $3,893,436,  consisting  of  $642,243  gross unrealized
appreciation and $4,535,679 gross unrealized depreciation.

At  June  30,  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.

The  average daily amount outstanding during the period ended June 30, 2000, was
approximately $186,900, with a related weighted average annualized interest rate
of 6.27%.


                                                             The Fund

                        For More Information

                        Dreyfus BASIC GNMA Fund

                        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                                   080SA006





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