DREYFUS BASIC GNMA FUND
N-30D, 1999-09-01
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Dreyfus BASIC GNMA Fund

SEMIANNUAL REPORT June 30, 1999

(reg.tm)

<PAGE>

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

Year 2000 Issues (Unaudited)

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



<PAGE>

                                 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

<PAGE>


                                                                       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,  1999 through June 30, 1999.
Inside,  you' ll find valuable information about how the fund was managed during
the  reporting  period,  including  a  discussion  with  Michael Hoeh, portfolio
manager and a member of the Dreyfus Taxable Fixed Income Team.

The  past  six  months  have  produced mixed results for fixed-income investors.
That' s  because  economic growth has been stronger than many analysts expected,
fueling  fears  that  inflation pressures may re-emerge. Overseas economies that
had  been in recession -- including Japan and the rest of Asia -- appear to have
begun  to  gain  strength.  The U.S. economy, which is now in its eighth year of
expansion,  has also grown more robustly than expected. In response, the Federal
Reserve raised short-term interest rates modestly on June 30.

In  this economic climate, U.S. Treasury securities declined, giving back all of
the  gains  they  achieved  during  their remarkable rally last summer and fall.
Prices  of  other  types  of  bonds  fell  less  sharply  or remained relatively
unchanged  when  investors  shifted  assets  back  into  market sectors they had
previously   avoided.   Accordingly,   many   corporate  bonds,  mortgage-backed
securities,  asset-backed  securities  and U.S. dollar-denominated foreign bonds
provided higher returns than U.S. Treasuries over the first half of 1999.

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 15, 1999





<PAGE>

DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager Dreyfus Taxable Fixed Income Team

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

For the six-month period ended June 30, 1999, Dreyfus BASIC GNMA Fund achieved a
total  return of 1.14%, including share price changes and dividend income.(1) In
comparison, the Lehman Brothers GNMA Index, the fund's benchmark, returned 0.57%
 . (2)  The  fund  paid  a  dividend  of $0.48 during the period, representing an
annualized distribution rate per share of 6.59%.(3)

The  fund' s  good  relative  performance  was  largely  due  to its exposure to
credit-sensitive sectors of the mortgage market. In addition, the fund benefited
from  higher  mortgage  rates, which caused a drop in homeowner refinancings and
reduced prepayments.

What is the fund's investment approach?

The  fund  invests  primarily in GNMA (Government National Mortgage Association)
and   GNMA-related   securities.   The   remainder   is   allocated   to   other
mortgage-related  debt.  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 prepayment indicators, as an
increase in this trend could cause a decline in the fund's dividend.

*  Option-adjusted  spread  analysis.  This  tool  compares the "optionality" of
different  mortgage-backed  securities with "now optionable" securities (such as
U.S.  Treasuries) . Homeowners  have  the  right to prepay their mortgage at any
time. This essentially gives a call option to the homeowner, exercisable against
the  mortgage-backed  securities  investor.  Using  this tool helps us determine
whether it is advisable to purchase optionable securities.

                                                             The Fund



<PAGE>

DISCUSSION OF FUND PERFORMANCE (CONTINUED)

*  Cash  flow  structure  analysis.  We  review cash flows of different types of
securities.  Our  analysis  indicates that GNMA project loans have a strong cash
flow,   which   is  a  favorable  sign.  The  loans,  issued  for  multifamily,
government-sponsored  housing,  do  not allow prepayments. This feature provided
protection against prepayment risk and helped improve the fund's overall return

* Total-rate-of-return scenarios. We calculate expected rates of return for each
security  over  a  six-month  time  horizon.  This  helps  us estimate whether a
security  is  or is not likely to be able to surpass the return generated by its
benchmark.

What other factors influenced the fund's performance?

The  fund' s  emphasis on credit-sensitive sectors -- commercial and residential
mortgage-backed  securities  and  asset-backed  securities  --  served  to boost
performance. Liquidity returned to the market early in 1999 following the global
financial  crisis  that  took  place  just  prior  to the start of the six-month
reporting  period.  As a result, demand for credit-sensitive securities outpaced
supply,  and  valuations  recovered  dramatically.  Within this environment, the
strongest performers were commercial mortgage-backed securities, which rebounded
from  previously  depressed levels. The fund, which had a significant allocation
to this sector, benefited from its price appreciation and high yield.

Our  position  in  GNMA  project  loans and adjustable-rate GNMA adjustable-rate
mortgages  (" ARMs" ) also  contributed  positively to performance, particularly
during  the  second  quarter  of  1999. In contrast to a fixed-rate mortgage, in
which  the  interest rate remains the same for the life of the loan, the rate on
an  ARM  changes  periodically. We added ARMs because, in a rising interest rate
environment,  their  yields  tend  to increase to a greater extent than those on
U.S.  Treasuries.  When  interest  rates  rose during the period, prices of ARMs
remained  approximately  the  same,  while those of U.S. Treasury bonds declined
significantly.  ARMs  thus  added  price  stability to the fund, as well as high
yield, which helped raise the fund's total return.


<PAGE>


On  the  other  hand,  our  move  to  increase  our  allocation to higher-coupon
securities  other  than ARMs was not as favorable. We purchased these securities
because  the  mortgages  underlying them carry high interest rates. As a result,
holders  of  these  types  of  bonds  tend  to prepay at a much slower rate when
interest  rates rise. Generally, the more slowly a pool of mortgages is prepaid,
the  greater  the  potential income for mortgage investors. However, in the last
six  months,  the  performance  of  higher-coupon  securities  fell short of our
expectations,   mainly   due   to  a  large  supply  of  them  on  the  market.

What is the fund's current strategy?

We  have  kept  the  fund' s  duration  short  -- 4.18 years as of June 30 -- in
anticipation  of  higher  interest  rates  ahead.  We  have  also maintained our
positions  in  GNMA ARMs, higher-coupon securities, and other mortgage debt, and
we  have  de-emphasized U.S. Treasuries. In addition, we have continued to focus
on  commercial  mortgage-backed issues and asset-backed securities, particularly
credit  card  and  home  equity loan issues. As the "wealth effects" of a strong
economy  and  stock  market  have improved the quality of consumer credit, these
bonds    have    provided    solid    returns    for    the    fund.

July 15, 1999

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

(2)  DISTRIBUTION RATE PER SHARE IS BASED UPON DIVIDENDS PER SHARE PAID FROM NET
INVESTMENT INCOME DURING THE PERIOD (ANNUALIZED), DIVIDED BY THE NET ASSET VALUE
PER SHARE AT THE END OF THE PERIOD.

(3)  SOURCE: LEHMAN BROTHERS -- 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

<PAGE>


STATEMENT OF INVESTMENTS

<TABLE>
<CAPTION>


June 30, 1999 (Unaudited)

                                                                                         Principal
BONDS AND NOTES--152.2%                                                                  Amount ($)              Value ($)
- ----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                       <S>                    <S>
U.S. GOVERNMENT AGENCIES/ MORTGAGE-BACKED SECURITIES--105.2%

Government National Mortgage Association I:

   6.5%                                                                                   3,250,000  (a)         3,140,313

   6.5%, 10/15/2010-3/15/2029                                                            14,283,287             13,848,081

   7%                                                                                     9,000,000  (a)         8,900,134

   7%, 1/15/2023-2/15/2024                                                                4,126,240              4,109,817

   7.5%                                                                                   3,000,000  (a)         3,031,860

   7.5%, 12/15/2023                                                                         289,259                293,237

   8%, 4/15/2008-4/15/2022                                                                7,796,874              8,042,355

   8.5%, 2/15/2005-11/15/2021                                                               984,031              1,039,051

   9%, 5/15/2016-11/15/2022                                                                 947,608              1,016,980

   9.5%, 1/15/2017-10/15/2020                                                               400,314                435,778

                                                                                                                43,857,606

Government National Mortgage Association I,

  Construction Loans:

   6.75%                                                                                  2,827,663  (a)         2,676,563

   6.75%, 10/15/2036                                                                      3,677,837              3,481,303

                                                                                                                 6,157,866

Government National Mortgage Association I:

  Project Loans:

   6.32%, 10/15/2033                                                                      2,577,390              2,481,536

   6.375%, 10/15/2033-1/15/2034                                                           4,368,140              4,244,602

   6.4%, 10/15/2033                                                                       1,839,603              1,801,082

   6.41%, 8/15/2028                                                                         993,331                974,080

   6.43%, 9/15/2033                                                                       1,491,731              1,446,979

   6.45%, 11/15/2033-3/15/2034                                                            5,517,710              5,375,273

   6.55%, 12/15/2033                                                                        701,007                685,887

   6.6%, 5/15/2028                                                                        1,924,290              1,880,378

   6.625%, 8/15/2028-1/15/2034                                                           15,375,531             15,170,205

   6.7%, 3/15/2028                                                                          639,670                639,868

   6.75%, 12/15/2023                                                                      6,820,551              6,771,511

   7.125%, 1/15/2029                                                                      1,302,687              1,331,580

   7.25%, 4/15/2029                                                                       1,254,266              1,250,340

   7.325%, 3/1/2034                                                                       3,480,024              3,587,661

                                                                                                                47,640,982

Government National Mortgage Association II:

   5%                                                                                     7,000,000  (a,b)       6,864,340

   9%, 5/20/2016-7/20/2025                                                                  672,693                708,915

   9.5%, 9/20/2021-12/20/2021                                                               127,594                137,173

                                                                                                                 7,710,428

Federal Home Loan Mortgage Corp.,

  Stripped Securities, Interest Only Class:

   Ser. 1541, Cl. FA, 7%, 5/15/2019                                                       4,904,658  (c,d)         636,134

   Ser. 1547, Cl. B, 7%, 2/15/2022                                                        1,750,000  (d)           317,275

   Ser. 1590, Cl. JA, 6.5%, 10/15/2021                                                    6,000,000  (d)         1,100,625


<PAGE>


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

U.S. GOVERNMENT AGENCIES/ MORTGAGE-BACKED SECURITIES (CONTINUED)

Federal Home Loan Mortgage Corp.,

  Stripped Securities, Interest Only Class (continued):

   Ser. 1596, Cl. L, 6.5%, 12/15/2012                                                     1,800,000  (c,d)         259,920

   Ser. 1916, Cl. PI, 7%, 12/15/2011                                                      1,161,802  (c,d)         243,502

   Ser. 1987, Cl. PI, 7%, 9/15/2012                                                       1,218,605  (d)           244,440

   Ser. 1999, Cl. PW, 7%, 8/15/2026                                                       3,637,886  (c,d)         704,840

   Ser. 2047, Cl. PJ, 7%, 2/15/2028                                                       3,000,000  (d)         1,121,250

                                                                                                                 4,627,986

Federal Housing Administration,

  Project Loans:

   7.2%, 2/1/2033                                                                         1,117,404              1,087,898

   7.625%, 4/1/2031                                                                       1,236,334              1,230,925

                                                                                                                 2,318,823

Federal National Mortgage Association,

   7%                                                                                     3,600,000  (a)         3,612,348

TOTAL U.S. GOVERNMENT AGENCIES/
   MORTGAGE-BACKED SECURITIES                                                                                  115,926,039

ASSET-BACKED SECURITIES--7.9%

Green Tree Financial Corporation,

   Ser. 1999-3, Cl. A-5, 6.16%, 2031                                                      1,000,000                982,500

Nomura Depositor Trust,

   Ser. 1998-ST1, Cl. A-3, 5.568%, 2003                                                   1,000,000  (e,f)         973,906

   Ser. 1998-ST1, Cl. A-5, 6.238%, 2003                                                   3,500,000  (e,f)       3,232,578

Premier Auto Trust,

   Ser. 1999-3, Cl. A-4, 6.43%, 2004                                                      3,500,000              3,519,985

TOTAL ASSET-BACKED SECURITIES                                                                                    8,708,969

COMMERCIAL MORTGAGE PASS-THROUGH CTFS.--23.4%

Asset Securitization,

   Ser. 1997-D5, Cl. A1-D, 6.85%, 2041                                                    2,250,000  (c)         2,207,461

Chase Commercial Mortgage Securities,

   Ser. 1998-SN1A, Cl. D, 5.858%, 2001                                                      750,000  (c,e,f)       738,750

CS First Boston Mortgage Securities,

   Ser. 1998-C1, Cl. C, 6.78%, 2009                                                       2,000,000  (c)         1,941,910

DLJ Commercial Mortgage:

   Ser. 1998-ST1A, Cl. B-1, 5.818%, 2000                                                  2,400,000  (c,e,f)     2,394,000

   Ser. 1999-CG1, Cl. B-2, 7.487%, 2009                                                   5,497,000              4,978,221

   Ser. 1999-CG2, Cl. B-2, 7.607%, 2009                                                   6,000,000              5,607,188

                                                                                                     The Fund

<PAGE>


STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

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

COMMERCIAL MORTGAGE PASS-THROUGH CTFS. (CONTINUED)

GS Mortgage Securities Corp. II,

   Ser. 1998-FL1, Cl. C, 5.488%, 2000                                                     3,000,000  (c,e,f)     2,992,500

   Ser. 1998-FL1, Cl. D, 5.788%, 2000                                                     1,750,000  (c,e,f)     1,741,250

Merrill Lynch Mortgage Investors,

   Ser. 1997-SD1, Cl. E, 5.937%, 2010                                                     3,500,000  (c,e,f)     3,233,125

TOTAL COMMERCIAL MORTGAGE PASS-THROUGH CTFS.                                                                    25,834,405

RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.--14.9%

BA Mortgage Securities,

   Ser. 1998-2, Cl. 2B-2, 6.5%, 2013                                                        295,435  (c)           271,062

Chase Mortgage Finance:

   Ser. 1998-S3, Cl. B-1, 6.5%, 2013                                                        755,592  (c)           726,301

   Ser. 1998-S3, Cl. B-2, 6.5%, 2013                                                        647,649  (c)           622,543

GE Capital Mortgage Services,

   Ser. 1998-16, Cl. B-2, 6.5%, 2013                                                        604,981  (c)           535,638

Norwest Asset Securities:

   Ser. 1997-3, Cl. B-1, 7.25%, 2027                                                      2,443,300  (c)         2,381,729

   Ser. 1997-3, Cl. B-2, 7.25%, 2027                                                        977,320  (c)           945,538

   Ser. 1997-7, Cl. B-2, 7%, 2027                                                           782,389  (c)           735,719

   Ser. 1997-9, Cl. B-2, 7%, 2012                                                           436,367  (c)           400,685

   Ser. 1997-11, Cl. B-2, 7%, 2027                                                          517,332                477,394

   Ser. 1997-15, Cl. B-2, 6.75%, 2012                                                       633,408  (c)           588,931

   Ser. 1997-20, Cl. B-2, 6.75%, 2012                                                       399,090  (c)           367,402

   Ser. 1998-14, Cl. B-3, 6.5%, 2013                                                        598,663  (c)           527,104

   Ser. 1998-18, Cl. B-3, 6.25%, 2028                                                       867,568  (c)           687,860

PNC Mortgage Securities:

   Ser. 1997-8, Cl. 3B-3, 6.75%, 2012                                                       293,350  (c)           284,543

   Ser. 1998-2, Cl. 3B-3, 6.75%, 2013                                                       553,125  (c)           533,755

   Ser. 1998-2, Cl. 4B-3, 6.75%, 2027                                                       394,862  (c)           374,823

   Ser. 1998-11, Cl. 2B-3, 6.25%, 2013                                                      511,189  (c)           462,067

Residential Accredit Loans:

   Ser. 1997-QS6, Cl. M-2, 7.5%, 2012                                                       979,498  (c)           997,274

   Ser. 1997-QS6, Cl. M-3, 7.5%, 2012                                                       636,669  (c)           648,223

Residential Funding Mortgage Securities I:

   Ser. 1997-S10, Cl. M-3, 7%, 2012                                                         493,861  (c)           471,485

   Ser. 1997-S11, Cl. M-3, 7%, 2012                                                         716,601  (c)           716,002

   Ser. 1997-S19, Cl. M-3, 6.5%, 2012                                                       649,703  (c)           599,786

   Ser. 1997-S21, Cl. M-3, 6.5%, 2012                                                       375,234  (c)           343,688

   Ser. 1998-NS1, Cl. M-2, 6.375%, 2009                                                     147,371  (c)           144,078

   Ser. 1998-NS1, Cl. M-3, 6.375%, 2009                                                      73,685  (c)            70,603

   Ser. 1998-S14, Cl. M-3, 6.5%, 2013                                                       823,231  (c)           799,435

   Ser. 1998-S16, Cl. M-3, 6.5%, 2013                                                       740,221  (c)           676,030

TOTAL RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.                                                                   16,389,698


<PAGE>


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

U.S. GOVERNMENTS--.8%

U.S. Treasury Bonds,

   5.25%, 2/15/2029                                                                       1,000,000                897,883

TOTAL BONDS AND NOTES

   (cost $171,126,374)                                                                                         167,756,994
- ----------------------------------------------------------------------------------------------------------------------------------

SHORT-TERM INVESTMENTS--.7%
- ----------------------------------------------------------------------------------------------------------------------------------

U.S.Treasury Bills:

   4.17%, 7/8/1999                                                                           70,000  (g)            69,954

   5.08%, 7/22/1999                                                                         205,000  (g)           204,510

   4.93%, 8/19/1999                                                                         275,000  (g)           273,360

   4.4%, 9/16/1999                                                                          150,000  (g)           148,530

TOTAL SHORT-TERM INVESTMENTS

   (cost $696,387)                                                                                                 696,354
- ----------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $171,822,761)                                                                       152.9%            168,453,348

LIABILITIES, LESS CASH AND RECEIVABLES                                                       (52.9%)           (58,254,125)

NET ASSETS                                                                                   100.0%            110,199,223

(A) PURCHASED ON A FORWARD COMMITMENT BASIS.

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

(C)  SECURITIES HELD IN WHOLE OR IN PART BY THE CUSTODIAN IN A SEGREGATED
     ACCOUNT AS COLLATERAL FOR SECURITIES PURCHASED ON A FORWARD COMMITMENT
     BASIS.

(D)  REFLECTS NOTIONAL FACE.

(E)  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, 1999
     THESE SECURITIES AMOUNTED TO $15,306,109, OR 13.9% OF NET ASSETS.

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

(G)  HELD BY THE CUSTODIAN IN A SEGREGATED ACCOUNT AS COLLATERAL FOR OPEN
     FINANCIAL FUTURES POSITIONS.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund

<PAGE>


STATEMENT OF FINANCIAL FUTURES

<TABLE>
<CAPTION>


June 30, 1999 (Unaudited)

                                                                                                            Unrealized
                                                              Market Value                                 Appreciation
                                                               Covered                                  (Depreciation)
                                        Contracts          by Contracts ($)             Expiration           at 6/30/99 ($)
- ----------------------------------------------------------------------------------------------------------------------------
<S>                                           <C>                <C>
FINANCIAL FUTURES SHORT

U.S. Treasury 5 year Notes                    168                18,312,000          September '99                 (19,405)

U.S. Treasury 10 year Notes                   356                39,582,750          September '99                 385,296

                                                                                                                   365,891

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


<PAGE>


STATEMENT OF ASSETS AND LIABILITIES

June 30, 1999 (Unaudited)

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           171,822,761   168,453,348

Receivable for investment securities sold                             4,630,019

Interest receivable                                                   1,069,096

Paydowns receivables                                                     27,498

Receivable for shares of Beneficial Interest subscribed                  20,677

Prepaid expenses                                                         12,400

                                                                    174,213,038
- -------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            45,328

Cash overdraft due to Custodian                                         253,726

Payable for investment securities purchased                          35,550,232

Payable for Reverse Repurchase Agreements--Note 5                    27,516,000

Payable for futures variation margin--Note 4(a)                         448,925

Payable for shares of Beneficial Interest redeemed                      115,693

Interest payable--Note 5                                                 18,101

Accrued expenses                                                         65,810

                                                                     64,013,815
- -------------------------------------------------------------------------------

NET ASSETS ($)                                                      110,199,223
- -------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     113,203,069

Accumulated distributions in excess of investment income--net           (6,550)

Accumulated net realized gain (loss) on investments and
   financial futures                                                     6,226

Accumulated net unrealized appreciation (depreciation)
   on investments (including $365,891 net unrealized
   appreciation on financial futures)--Note 4(b)                     (3,003,522)
- -------------------------------------------------------------------------------

NET ASSETS ($)                                                      110,199,223
- -------------------------------------------------------------------------------

SHARES OUTSTANDING

(unlimited number of $.001 par value shares of
Beneficial Interest authorized)                                       7,494,822

NET ASSET VALUE, offering and redemption price per share ($)              14.70

SEE NOTES TO FINANCIAL STATEMENTS.


                                                             The Fund

<PAGE>


STATEMENT OF OPERATIONS

Six Months Ended June 30, 1999 (Unaudited)


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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      4,100,072

EXPENSES:

Management fee--Note 3(a)                                              298,892

Interest expense--Note 5                                               540,373

Shareholder servicing costs--Note 3(b)                                 107,665

Professional fees                                                       34,256

Registration fees                                                       20,894

Trustees' fees and expenses--Note 3(c)                                  18,059

Custodian fees--Note 3(b)                                               13,866

Prospectus and shareholders' reports                                    13,669

Loan commitment fees--Note 2                                               104

Miscellaneous                                                            3,839

TOTAL EXPENSES                                                       1,051,617

Less--reduction in management fee due to undertaking--Note 3(a)       (187,341)

NET EXPENSES                                                           864,276

INVESTMENT INCOME--NET                                               3,235,796
- -------------------------------------------------------------------------------

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

Net realized gain (loss) on investments                               (836,458)

Net realized gain (loss) on financial futures                        1,346,195

NET REALIZED GAIN (LOSS)                                               509,737

Net unrealized appreciation (depreciation) on investments (including
 $213,660 net unrealized appreciation on financial futures)         (2,529,010)

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS              (2,019,273)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 1,216,523

SEE NOTES TO FINANCIAL STATEMENTS.


<PAGE>


STATEMENT OF CHANGES IN NET ASSETS

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

OPERATIONS ($):

Investment income--net                              3,235,796      5,555,447

Net realized gain (loss) on investments               509,737      (507,112)

Net realized appreciation (depreciation)
   on investments                                  (2,529,010)   (1,328,489)

NET INCREASE (DECREASE) IN NET ASSETS

   RESULTING FROM OPERATIONS                        1,216,523     3,719,846
- -------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net                            (3,253,773)    (5,545,920)

Net realized gain on investments                         --        (291,592)

TOTAL DIVIDENDS                                   (3,253,773)    (5,837,512)
- -------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold                      29,412,060     43,371,763

Dividends reinvested                                2,364,972      4,345,234

Cost of shares redeemed                           (16,386,843)   (24,682,862)

INCREASE (DECREASE) IN NET ASSETS FROM

   BENEFICIAL INTEREST TRANSACTIONS                15,390,189     23,034,135

TOTAL INCREASE (DECREASE) IN NET ASSETS            13,352,939     20,916,469
- -------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                                96,846,284     75,929,815

END OF PERIOD                                     110,199,223     96,846,284

Undistributed investment income (distributions in
   excess of investment income)-ne                     (6,550)        11,427
- -------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS (SHARES):

Shares sold                                         1,982,773      2,827,468

Shares issued for dividends reinvested                159,218        283,676

Shares redeemed                                    (1,101,108)    (1,611,860)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING       1,040,883      1,499,284

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

<PAGE>


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
                                             June 30, 1999                              Year Ended December 31,
                                                                    --------------------------------------------------------------


                                                (Unaudited)         1998          1997          1996           1995         1994
- ----------------------------------------------------------------------------------------------------------------------------------
<S>                                                  <C>           <C>           <C>            <C>           <C>           <C>
PER SHARE DATA ($):

Net asset value,

   beginning of period                               15.01         15.32         15.14          15.42         14.16         15.39

Investment Operations:

Investment income--net                                 .48           .97           .99            .98          1.03          1.08

Net realized and unrealized
   gain (loss) on investments                         (.31)         (.26)          .41           (.27)         1.25         (1.23)

Total from Investment Operations                       .17           .71          1.40            .71          2.28          (.15)

Distributions:

Dividends from investment

   income--net                                        (.48)         (.97)         (.99)          (.99)        (1.02)        (1.08)

Dividends from net realized

   gain on investments                                  --          (.05)         (.23)            --            --            --

Total Distributions                                   (.48)        (1.02)        (1.22)          (.99)        (1.02)        (1.08)

Net asset value, end of period                       14.70         15.01         15.32          15.14         15.42         14.16
- ----------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                      2.30((+))     4.71          9.55           4.81         16.62          (.99)
- ----------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of operating expenses

   to average net assets                               .65((+))      .65           .65            .65           .50           .06

Ratio of interest expense and
   loan commitment fees

   to average net assets                              1.08((+))      .17            --             --            --            --

Ratio of net investment income

   to average net assets                              6.50((+))     6.34          6.46           6.50          6.86          7.34

Decrease reflected in above
   expense ratios due to
   undertakings by the Manager                         .38((+))      .39           .42            .52           .78          1.43

Portfolio Turnover Rate                             176.54        388.97        534.25         332.96        254.36        290.20
- ----------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                     110,199        96,846        75,930         57,665        55,615        44,937

((+))  ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>


<PAGE>


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"). Premier Mutual Fund Services, Inc. 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 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, excluding U.S. Treasury Bills, are
carried  at  amortized  cost,  which  approximates  value. Financial futures are
valued    at    the    last    sales     The    Fund

<PAGE>


NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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, it is the policy of the fund not to distribute such gain.


<PAGE>


(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 $197,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  December 31, 1998. The
carryover  does not include net realized securities losses from November 1, 1998
through December 31, 1998 which are treated, for Federal income tax purposes, as
arising in fiscal 1999. If not applied, the carryover expires in fiscal 2006.

NOTE 2--Bank Line of Credit:

The  fund  participates  with  other  Dreyfus-managed  funds  in  a $600 million
redemption  credit  facility  (" the  Facility") to be utilized for temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to  the fund at rates based on prevailing
market  rates  in effect at the time of borrowings. During the period ended June
30, 1999, the fund did not borrow under the Facility.

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,  interest  on borrowings, commitment fees and extraordinary expenses,
but  including  the  management  fee,  exceed an annual rate of .65 of 1% of the
value     The    Fund

<PAGE>


NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

of the fund's average daily net assets, the fund may deduct from the payments to
be  made  to  Dreyfus under the Management Agreement, or Dreyfus will bear, such
excess  expense.  The  expense  reduction  in  management  fee,  pursuant to the
undertaking, amounted to $187,341 during the period ended June 30, 1999.

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 Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the 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,  1999,  the  fund  was  charged $60,000 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,  1999,  the  fund  was charged $35,095 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, 1999, the fund was
charged $13,866 pursuant to the custody agreement.

(c)  Each  trustee  who  is  not  an  "affiliated  person" as defined in the Act
receives from the fund an annual fee of $2,500 and an attendance fee of $250 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.


<PAGE>


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, 1999, amounted to $272,875,540 and 258,170,599,
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, 1999, are set forth in the
Statements of Financial Futures.

(b) At June 30, 1999, accumulated net unrealized depreciation on investments and
financial  futures  was  $3,003,522,  consisting  of  $939,666  gross unrealized
appreciation and $3,943,188 gross unrealized depreciation.

At  June  30,  1999, 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   The  Fun

<PAGE>


NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

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.

As  of June 30, 1999, the fund had entered into reverse repurchase agreements in
the  amount  of  $27,516,000.  The  average  daily amount outstanding during the
period  ended  June  30,  1999  was  approximately  $21,342,801,  with a related
weighted average annualized interest rate of 5.11%.


<PAGE>


                                                           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

Premier Mutual Fund Services, Inc.

60 State Street

Boston, MA 02109

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) 1999 Dreyfus Service Corporation                                  080SA996



<PAGE>



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