DREYFUS BASIC GNMA FUND
N-30D, 1998-09-04
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DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased to report the performance for Dreyfus BASIC GNMA Fund for the
six-month  period  ended  June  30,  1998.  Your  Fund  produced a total return,
including share price changes and dividend income generated, of 4.35%,* compared
to  3.34%  for  the Lehman Brothers GNMA Index.** Income dividends paid from net
investment  income during the six-month period amounted to approximately $0.487%
per share, representing an annualized distribution rate per share of 6.34%.***

The Economy

In recent testimony to Congress, Federal Reserve Board Chairman Alan Greenspan
proclaimed  the  economy  to be "as impressive as any I have witnessed." Indeed,
the  performance of the economy has been tremendous, with solid, noninflationary
economic  growth  and  a  robust  rate  of  new  job  creation. Accordingly, the
unemployment  rate hovers near its 28-year low. Not surprisingly, consumers brim
with confidence: new home sales were recently at record levels, and retail sales
have  surged  since January. The enthusiastic spending of consumers has, so far,
offset  the  adverse  effects  of  the  economic  problems in Asia. In fact, the
financial  crisis  in  the  Far East has proved a boon to consumers, since lower
import  prices  have  further  subdued  domestic price pressures and helped keep
interest  rates  low.  Remarkably,  despite  the strengthening economy since the
beginning  of  this  year,  inflation  has  waned  further. With inflation under
control  and  the  economy  just  beginning to experience a reduction in foreign
demand, the Federal Reserve Board has been reluctant to raise interest rates for
fear of further roiling Asian financial markets. The last increase in short-term
rates  came  in  March 1997 when the Federal Reserve Board Open Market Committee
(the policy-making arm of The Federal Reserve) hiked the target rate for Federal
Funds by one quarter of a percent to 5.5%.

  Even  with  the  booming  job  market, wage gains have had little inflationary
effect,  since business spending in productivity-enhancing capital equipment has
been  strong  throughout  the  economic  expansion. The one soft spot in the job
market  has  been  in manufacturing: industrial production has slowed -- a clear
sign that Asian economic woes are being felt here -- and inventories of domestic
manufacturers  have  risen  due to the reduction in foreign demand. It is widely
expected  that  the  growing  trade  deficit will retard second-quarter economic
growth  and possibly serve as a drag over the foreseeable future. This reduction
in  foreign  demand  could  further moderate the rate of domestic production and
consequently  ease  the  demand  for labor, thus lessening inflationary pressure
resulting  from  wage  increases. Cheaper imports have also weakened the pricing
environment  for  U.S. manufacturers and, in consequence, acted as an additional
curb  to inflation. All this has been part of what Chairman Greenspan called our
economy' s "virtuous cycle" where even so-called crises have proven economically
beneficial. As a further example, the economic upheavals in Asia and Russia have
caused nervous foreign investors to seek refuge in the U.S. bond market, causing
a  demand  surge that has helped maintain our low interest rate environment. Yet
we,  along  with  Chairman Greenspan, are skeptical that our economy has somehow
moved   "beyond  history,"  and  we  share  his  vigilance  regarding  signs  of
inflationary imbalances.

Market Environment

  The  first  half  of  1998  was  a period of interest rate declines. Long-term
interest rates (30-year Treasury) reached one of their lowest levels in history.
By  late  June,  30-year  U.S. Treasury rates fell to 5.57%. This was lower than
during   the   bond   rally   in   1993   when   rates   decreased   to  5.78%

  During  the  reporting  period, the U.S. fixed-income markets continued to see
strong  demand  for U.S. Treasuries from overseas.  Given the continued problems
in  the  Asian economies, worried international investors sought securities with
stability  and  liquidity,  and  their  main destination was the U.S. securities
market.   This  additional  demand  for  U.S.  Treasuries  was  a  major  factor
contributing to the new lower interest rates.

  What  has  this meant for GNMA securities? As U.S. Treasury rates fell, so did
the  rate  on  new  mortgage  loans.  Hence the typical U.S. homeowner had a big
opportunity  to  refinance  their  home mortgage into a much lower interest rate
loan.  This  led  to  a  very  large  number  of  prepayments in mortgage-backed
securities,   causing   mortgage-backed   securities   to   underperform   other
fixed-income    investments    during    the    first    half    of    1998.

Portfolio Overview

  In  this  environment of falling interest rates and increasing prepayments, we
positioned  the  fund  to  take  advantage  of  this  situation. We adjusted the
duration  of  the  Fund to be 6% longer than the duration of the Lehman Brothers
GNMA  Index.  The  duration  of the Fund was 2.35 years at the end of the second
quarter of 1998.

  We  have  also  made  adjustments to our asset allocation. We continued to add
call-protected  commercial  mortgage-backed  securities  and GNMA project loans.
These bonds typically have 10 years of protection from any type of mortgage loan
refinancing.  During  the  first half of 1998, we increased our holdings in GNMA
project  loans  to  over  10%  of  the  Fund.  We also increased our position in
commercial  mortgage-backed  securities  to over 20% of the Fund's assets. These
securities  have  outperformed  fixed-rate pass-through securities because their
coupon payments are not cut short by loan prepayments.

  We  also  focused  on  discount  dollar  priced  securities.  These securities
directly  benefit from increases in homeowner refinancing. During the first half
of  the  year,  we  increased our holdings in 15-year and 30-year GNMA 6.50% and
7.00% coupon pass-through securities to 23% of the Fund's assets. To do this, we
sold  our  prepay-sensitive  premium  30-year GNMA 8.00% and 7.50% seasoned GNMA
pass-through    securities.

Last, we decreased our exposure to adjustable-rate GNMA securities (GNMA ARMS)
 .  During  the  first  quarter  of  1998,  the  Department  of Housing and Urban
Development  (HUD)  issued  a large quantity of adjustable-rate securities.  HUD
issued  so  many  that the government agency reached the limit of its government
mandate.  As  a  result,  in  May of this year they announced that they would be
forced  to  discontinue  the  GNMA  adjustable rate program for the remainder of
their  financial reporting year, causing a demand surge in GNMA ARMS. This extra
demand, with falling future supply, pushed the price of GNMA ARMS up beyond what
we  believed to be their fair market value. At that point in time, we decided it
was   a   good   opportunity   to  decrease  our  position  and  take  profits.

  Included  in  this report is a series of detailed statements about your Fund's
holdings and its financial condition. We appreciate your continued confidence in
the Fund and in The Dreyfus Corporation.

               Sincerely,

               [Michael Hoeh signature logo]

               Michael Hoeh

               Portfolio Manager

August 10, 1998

New York, N.Y.

*Total  return  includes  reinvestment of dividends and any capital gains paid.

**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 GNMA securities.

***  Distribution rate per share is based upon dividends per share paid from net
investment  income doing the period (annualized), divided by the net asset value
per share at the end of the period.

<TABLE>
DREYFUS BASIC GNMA FUND
- ------------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                            JUNE 30, 1998 (UNAUDITED)

                                                                                               Principal

Bonds and Notes--133.1%                                                                         Amount                Value
- ------------------------------------------------------
                                                                                            _____________          ____________

U.S. Government Agencies/

Mortgage-Backed Securities--89.2%

Government National Mortgage Association I:
<S>                                                                                         <C>                 <C>
  61_2%, 10/15/2010-6/15/2011                                                               $    3,292,013      $     3,343,435

  61_2%                                                                                          5,000,000 (a)        4,984,350

  7%, 6/15/2009                                                                                    809,066 (b)          834,091

  7%                                                                                            16,600,000 (a)       16,845,850

  71_2%, 9/15/2021-12/15/2027                                                                    6,693,089            6,905,071

  71_2%, 12/15/2023                                                                                413,724 (b)          427,038

  8%, 4/15/2008-9/15/2008                                                                        2,971,522 (b)        3,119,204

  8%, 1/15/2022-4/15/2022                                                                          464,261              486,058

  81_2%, 2/15/2005-3/15/2022                                                                     1,529,375            1,635,887

  9%, 5/15/2016-11/15/2022                                                                       1,375,075            1,494,559

  91_2%, 1/15/2017-12/15/2021                                                                      720,711              784,345

                                                                                                                  _____________

                                                                                                                     40,859,888

                                                                                                                  _____________

Government National Mortgage Association I,

 Project Loans:

  65_8%                                                                                          3,827,200 (a)        3,871,442

  6.70%, 3/15/2028                                                                                 645,991              653,458

  7%, 5/15/2023-5/15/2030                                                                        3,133,030            3,251,420

  91_4%, 10/15/2023                                                                                943,411 (b)        1,018,884

                                                                                                                  _____________

                                                                                                                      8,795,204

                                                                                                                  _____________

Government National Mortgage Association II:

  41_2%, 4/20/2028-5/20/2028                                                                     5,049,998 (c)        4,974,248

  5%, 4/20/2028                                                                                    502,982 (c)          500,779

  9%, 3/20/2016-7/20/2025                                                                        1,145,242            1,226,351

  91_2%, 9/20/2021-12/20/2021                                                                      221,509              239,314

                                                                                                                  _____________

                                                                                                                      6,940,692

                                                                                                                  _____________

Government National Mortgage Association I,

 Real Estate Mortgage Investment Conduit,

 Collateralized Mortgage Obligations,

  Ser. 1997-4, Cl. G, 71_2%, 11/16/2024                                                          1,000,000 (b)        1,029,340

                                                                                                                  _____________

Government National Mortgage Association II,

 Real Estate Mortgage Investment Conduit,

 Collateralized Mortgage Obligations,

  Ser. 1997-2, Cl. K, 71_2%, 1/20/2024                                                           2,780,000 (b)        2,871,907

                                                                                                                  _____________

Federal Home Loan Mortgage Corp.:

 Real Estate Mortgage Investment Conduit,

 Collateralized Mortgage Obligations:

    Ser. 128, Cl. H, 83_4%, 9/15/2019                                                               26,679 (b)           26,679

    Ser. 1092, Cl. J, 81_2%, 5/15/2020                                                             797,537 (b)          805,529
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- ------------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                JUNE 30, 1998 (UNAUDITED)

                                                                                                Principal

Bonds and Notes (continued)                                                                      Amount                Value
- ------------------------------------------------------

                                                                                             _____________         ____________

U.S. Government Agencies/

Mortgage-Backed Securities (continued)

Federal Home Loan Mortgage Corp. (continued):

 Stripped Securities, Interest Only Class:
<S>                                                                                        <C>                    <C>
    Ser. 1499, Cl. E, 7%, 4/15/2023                                                        $       864,285 (b,d)  $     498,597

    Ser. 1541, Cl. FA, 7%, 5/15/2019                                                             4,904,658 (b,d)        883,035

    Ser. 1547, Cl. B, 7%, 2/15/2022                                                              1,750,000 (b,d)        406,998

    Ser. 1583, Cl. ID, 7%, 2/15/2023                                                             5,059,464 (b,d)      1,727,858

    Ser. 1590, Cl. JA, 61_2%, 10/15/2021                                                         6,000,000 (b,d)      1,400,520

    Ser. 1596, Cl. L, 61_2%, 12/15/2012                                                          1,800,000 (b,d)        344,718

    Ser. 1916, Cl. PI, 7%, 12/15/2011                                                            1,338,799 (b,d)        294,603

    Ser. 1999, Cl. PW, 7%, 8/15/2026                                                             1,434,384 (b,d)        328,115

    Ser. 2066, Cl. PM, 61_2%, 12/15/2026                                                         3,843,569 (a)        1,085,808

                                                                                                                  _____________

                                                                                                                      7,802,460

                                                                                                                  _____________

Federal Housing Administration,

 Project Loans:

  7.20%, 2/1/2033                                                                                1,124,506            1,162,106

  75_8%, 4/1/2031                                                                                1,245,111            1,310,479

                                                                                                                  _____________

                                                                                                                      2,472,585

                                                                                                                  _____________

Federal National Mortgage Association:

  6.94%                                                                                          4,286,449            4,500,544

  Real Estate Mortgage Investment Conduit,

  Stripped Securities, Interest Only Class:

    Ser. 1993-61, Cl. N, 7%, 3/25/2022                                                           7,218,166 (d)        1,760,078

    Ser. 1993-137, Cl. PT, 7%, 6/25/2022                                                         4,000,000 (d)          930,240

                                                                                                                  _____________

                                                                                                                      7,190,862

                                                                                                                  _____________

Total U.S. Government Agencies/

Mortgage-Backed Securities                                                                                           77,962,938

                                                                                                                  =============


Asset-Backed Securities--3.4%

 Nomura Depositor Trust,

    Ser. 1998-ST1, Cl. A-5, 6.906%, 2003                                                         3,000,000 (e,f)      2,995,312

                                                                                                                  =============

Commercial Mortgage-Backed Securities--20.5%

Asset Securitization,

 Commercial Mortgage Pass-Through Ctfs.,

  Ser. 1997-D5, Cl. A1-D, 6.85%, 2041                                                            2,250,000            2,356,875

Chase Commercial Mortgage Securities,

 Commercial Mortgage Pass-Through Ctfs.,

  Ser. 1998-SN1, Cl. D, 6.486%, 2035                                                               750,000 (e,f)        750,000

CS First Boston Mortgage Securities,

 Commercial Mortgage Pass-Through Ctfs.,

  Ser. 1998-C1, Cl. C, 6.78%, 2009                                                               2,000,000            2,030,937
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- ------------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                JUNE 30, 1998 (UNAUDITED)

                                                                                                 Principal

Bonds and Notes (continued)                                                                       Amount               Value
- ------------------------------------------------------

                                                                                              _____________         ____________

Commercial Mortgage-Backed Securities (continued)

DLJ Commercial Mortgage,

 Commercial Mortgage Pass-Through Ctfs.,
<S>                                                                                        <C>                    <C>
  Ser. 1998-STFA, Cl. B-1, 6.63%, 2000                                                     $     1,400,000 (e,f)  $   1,401,313

GS Mortgage Securities II,

 Commercial Mortgage Pass-Through Ctfs:

  Ser. 1997-GL, Cl. G, 7.822%, 2030                                                              2,000,000 (f)        2,061,250

  Ser. 1998-GS1:

    Cl. C, 6.148%, 2000                                                                          3,000,000 (e,f)      3,000,000

    Cl. D, 6.448%, 2000                                                                          1,750,000 (a,e,f)    1,746,992

Merrill Lynch Mortgage Investors,

 Commercial Mortgage Pass-Through Ctfs.,

  Ser. 1997-SD1, Cl. E, 6.687%, 2010                                                             3,500,000            3,504,375

Mortgage Capital Funding,

 Commercial Mortgage Pass-Through Ctfs.,

  Ser. 1997-MC2, Cl. C, 6.881%, 2007                                                             1,000,000            1,019,375

                                                                                                                  _____________

Total Commercial Mortgage-Backed Securities                                                                          17,871,117

                                                                                                                  =============


Residential Mortgage-Backed Securities--20.0%

Chase Mortgage Finance,

 Mortgage Pass-Through Ctfs.,

 Ser. 1998-S3:

    Cl. B-1, 61_2%, 2013                                                                           787,683 (a)          778,822

    Cl. B-2, 61_2%, 2013                                                                           675,156 (a)          664,185

Norwest Asset Securities,

 Mortgage Pass-Through Ctfs.:

 Ser. 1997-3:

    Cl. B-1, 71_4%, 2027                                                                         2,468,937            2,527,574

    Cl. B-2, 71_4%, 2027                                                                           987,575              998,685

  Ser. 1997-7, Cl. B-2, 7%, 2027                                                                   791,012              782,382

  Ser. 1997-9, Cl. B-2, 7%, 2012                                                                   456,579              450,566

  Ser. 1997-15, Cl. B-2, 63_4%, 2012                                                               661,732              658,010

  Ser. 1997-20, Cl. B-2, 63_4%, 2012                                                               416,553              414,670

  Ser. 1998-14, Cl. B-3, 61_2%, 2013                                                               623,987              607,807

  Ser. 1998-18, Cl. B-3, 61_4%, 2028                                                             1,050,000 (a)          999,961

PNC Mortgage Securities,

 Mortgage Pass-Through Ctfs.:

  Ser. 1997-8, Cl. 3B-3, 63_4%, 2012                                                               306,264              304,637

  Ser. 1998-2:

    Cl. 3B-3, 63_4%, 2013                                                                          575,491              576,391

    Cl. 4B-3, 63_4%, 2027                                                                          401,717              386,904
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- ------------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                JUNE 30, 1998 (UNAUDITED)

                                                                                               Principal

Bonds and Notes (continued)                                                                     Amount                 Value
- ------------------------------------------------------

                                                                                             _____________         ____________

Residential Mortgage-Backed Securities (continued)

Prudential Home Mortgage Securities,

 Mortgage Pass-Through Ctfs.,
<S>                                                                                         <C>                 <C>
  Ser. 1995-6, Cl. B-2, 71_2%, 2025                                                         $    2,120,835      $     2,124,811

Residential Accredit Loans,

 Mortgage Asset-Backed Pass-Through Ctfs.,

 Ser. 1997-QS6:

    Cl. M-2, 71_2%, 2012                                                                         1,022,841            1,059,100

    Cl. M-3, 71_2%, 2012                                                                           664,842              688,410

Residential Funding Mortgage Securities I,

 Mortgage Pass-Through Ctfs.:

  Ser. 1997-S10, Cl. M-3, 7%, 2012                                                                 515,130              519,601

  Ser. 1997-S11, Cl. M-3, 7%, 2012                                                                 748,584              767,311

  Ser. 1997-S14, Cl. M-3, 61_2%, 2013                                                              860,400 (a)          840,234

  Ser. 1997-S19, Cl. M-3, 61_2%, 2012                                                              677,889              667,138

  Ser. 1997-S21, Cl. M-3, 61_2%, 2012                                                              391,783              384,560

  Ser. 1998-NS1:

    Cl. M-2, 63_8%, 2009                                                                           159,303              156,216

    Cl. M-3, 63_8%, 2009                                                                            79,648               77,548

                                                                                                                  _____________

Total Residential Mortgage-Backed Securities                                                                         17,435,523

                                                                                                                  =============


TOTAL BONDS AND NOTES

  (cost $115,278,965)                                                                                              $116,264,890

                                                                                                                  =============


Short-Term Investments--.9%
- ------------------------------------------------------

Repurchase Agreements--.7%

Barclays De Zoete Wedd, 5.35%

 Dated 6/30/1998, Due 7/1/1998 in the amount of $600,089 (fully collateralized

  by $595,000 U.S. Treasury Notes, 7%, 4/15/1999, value $611,200)                          $       600,000      $       600,000

                                                                                                                  _____________

U.S. Treasury Bills--.2%

  5.02%, 8/27/1998                                                                                 100,000 (g)           99,231

  5.18%, 9/17/1998                                                                                  25,000               24,735

  4.99%, 9/24/1998                                                                                  50,000               49,428

                                                                                                                  _____________

Total U.S. Treasury Bills                                                                                               173,394

                                                                                                                  _____________

TOTAL SHORT-TERM INVESTMENTS

  (cost $773,376)                                                                                              $        773,394

                                                                                                                  =============


TOTAL INVESTMENTS

  (cost $116,052,341)                                                                               134.0%         $117,038,284

                                                                                                  =======         =============


LIABILITIES, LESS CASH AND RECEIVABLES                                                              (34.0%)      $  (29,673,727)

                                                                                                  =======         =============

NET ASSETS                                                                                          100.0%        $  87,364,557

                                                                                                  =======         =============
</TABLE>
DREYFUS BASIC GNMA FUND
- ------------------------------------------------------------------------------


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

(a)  Purchased on a forward commitment basis.

(b)  Held  by the custodian in a segregated account as collateral for securities
     purchased on a forward commitment basis.

(c)  Adjustable rate mortgage-interest rate subject to change periodically.

(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, 1998 these securities amounted to $9,893,617 or 11.3% 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.

<TABLE>
  STATEMENT OF FINANCIAL FUTURES                      JUNE 30, 1998 (UNAUDITED)


                                                                                 Market Value                       Unrealized

                                                                                  Covered                         (Depreciation)

Financial Futures Short                                            Contracts     by Contracts     Expiration        at 6/30/98

__________________________________________________________________ ____________ _______________ _________________ _______________
<S>                                                                   <C>          <C>             <C>                <C>
U.S. Treasury 10 year notes                                           125          $14,230,469     September '98      ($63,816)

                                                                                                                  ============


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                 JUNE 30, 1998 (UNAUDITED)

                                                                                                     Cost             Value

                                                                                                ____________      ____________

ASSETS:                          Investments in securities--
<S>                                                                                              <C>               <C>
                                   See Statement of Investments--Note 1(b)                       $116,052,341      $117,038,284

                                 Cash                                                                                   748,190

                                 Receivable for investment securities sold                                           15,260,800

                                 Interest receivable                                                                    776,487

                                 Receivable for shares of Beneficial Interest subscribed                                 57,208

                                 Paydowns receivable                                                                     18,802

                                 Prepaid expenses                                                                        13,068

                                                                                                                  _____________

                                                                                                                    133,912,839

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates                                           44,980

                                 Payable for investment securities purchased                                         46,119,090

                                 Payable for shares of Beneficial Interest redeemed                                     294,251

                                 Payable for futures variation margin--Note 4(a)                                         27,488

                                 Accrued expenses                                                                        62,473

                                                                                                                  _____________

                                                                                                                     46,548,282

                                                                                                                  _____________

NET ASSETS                                                                                                        $  87,364,557

                                                                                                                  =============


REPRESENTED BY:                  Paid-in capital                                                                  $  85,374,739

                                 Accumulated undistributed investment income--net                                         1,544

                                 Accumulated net realized gain (loss) on investments                                  1,066,147

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments [including ($63,816) net unrealized
                                   (depreciation) on financial futures]--Note 4(b)                                      922,127

                                                                                                                  _____________

NET ASSETS                                                                                                        $  87,364,557

                                                                                                                  =============


SHARES OUTSTANDING

(UNLIMITED NUMBER OF $.001 PAR VALUE SHARES OF BENEFICIAL INTEREST AUTHORIZED)                                        5,641,743

NET ASSET VALUE, offering and redemption price per share                                                                 $15.49

                                                                                                                        =======



                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS            SIX MONTHS ENDED JUNE 30, 1998 (UNAUDITED)

INVESTMENT INCOME
<S>                                                                                        <C>                       <C>
INCOME                           Interest Income                                                                     $2,873,231

EXPENSES:                        Management fee--Note 3(a)                                  $   244,952

                                 Shareholder servicing costs--Note 3(b)                         110,102

                                 Trustees' fees and expenses--Note 3(c)                          17,762

                                 Registration fees                                               17,706

                                 Auditing fees                                                   14,604

                                 Custodian fees--Note 3(b)                                       10,450

                                 Interest expense--Note 2                                        10,359

                                 Legal fees                                                       8,121

                                 Prospectus and shareholders' reports                             7,699

                                 Miscellaneous                                                    5,581

                                                                                            ___________

                                    Total Expenses                                              447,336

                                 Less--reduction in management fee due to
                                    undertaking--Note 3(a)                                     (171,613)

                                                                                            ___________

                                    Net Expenses                                                                        275,723

                                                                                                                    ___________

INVESTMENT INCOME--NET                                                                                                2,597,508

                                                                                                                    ___________

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

                                 Net realized gain (loss) on investments                     $  883,869

                                 Net realized gain (loss) on financial futures                 (112,915)

                                                                                            ___________

                                    Net Realized Gain (Loss)                                                            770,954

                                 Net unrealized appreciation (depreciation) on
                                    investments [including ($63,816) net unrealized
                                    (depreciation) on financial futures]                                                 68,150

                                                                                                                    ___________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                                                                  839,104

                                                                                                                    ___________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                                                                 $3,436,612

                                                                                                                    ===========


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                         Six Months Ended

                                                                                          June 30, 1998         Year Ended

                                                                                          (Unaudited)       December 31,  1997

                                                                                        ________________     _______________

OPERATIONS:
<S>                                                                                         <C>                 <C>
   Investment income--net                                                                   $  2,597,508        $  4,055,809

   Net realized gain (loss) on investments                                                       770,954             954,499

   Net unrealized appreciation (depreciation) on investments                                      68,150             776,447

                                                                                            ____________        ____________

       Net Increase (Decrease) in Net Assets Resulting from Operations                         3,436,612           5,786,755

                                                                                            ____________        ____________

DIVIDENDS TO SHAREHOLDERS FROM:

   Investment income--net                                                                     (2,597,864)         (4,053,909)

   Net realized gain on investments                                                                   --          (1,027,054)

                                                                                            ____________        ____________

       Total Dividends                                                                        (2,597,864)         (5,080,963)

                                                                                            ____________        ____________

BENEFICIAL INTEREST TRANSACTIONS:

   Net proceeds from shares sold                                                              20,179,140          31,673,859

   Dividends reinvested                                                                        1,910,684           3,692,556

   Cost of shares redeemed                                                                   (11,493,830)        (17,807,854)

                                                                                            ____________        ____________

       Increase (Decrease) in Net Assets from Beneficial Interest Transactions                10,595,994          17,558,561

                                                                                            ____________        ____________

          Total Increase (Decrease) in Net Assets                                             11,434,742          18,264,353

NET ASSETS:

   Beginning of Period                                                                        75,929,815          57,665,462

                                                                                            ____________        ____________

   End of Period                                                                             $87,364,557         $75,929,815

                                                                                            ============        ============


UNDISTRIBUTED INVESTMENT INCOME--NET                                                    $          1,544    $          1,900

                                                                                            ____________        ____________

                                                                                               Shares              Shares

                                                                                            ____________        ____________

CAPITAL SHARE TRANSACTIONS:

   Shares sold                                                                                 1,308,005           2,070,281

   Shares issued for dividends reinvested                                                        123,863             241,976

   Shares redeemed                                                                              (744,780)         (1,167,399)

                                                                                            ____________        ____________

       Net Increase (Decrease) in Shares Outstanding                                             687,088           1,144,858

                                                                                            ============        ============

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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


                                                       Six Months Ended

                                                        June 30, 1998                    Year Ended December 31,

                                                                        _________________________________________________________

PER SHARE DATA:                                          (Unaudited)     1997        1996        1995        1994        1993

                                                          _________     ______      ______       ______      ______      ______
<S>                                                         <C>         <C>         <C>          <C>         <C>         <C>
   Net asset value, beginning of period                     $15.32      $15.14      $15.42       $14.16      $15.39      $15.20

                                                           _______     ______       ______       ______      ______      ______

   Investment Operations:

   Investment income--net                                      .49        .99         .98         1.03         1.08        1.11

   Net realized and unrealized gain (loss)
       on investments                                          .17         .41       (.27)         1.25      (1.23)         .19

                                                           _______     ______       ______       ______      ______      ______

   Total from Investment Operations                            .66        1.40         .71         2.28       (.15)        1.30

                                                           _______     ______       ______       ______      ______      ______

   Distributions:

   Dividends from investment income--net                      (.49)      (.99)        (.99)       (1.02)      (1.08)      (1.11)

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

                                                           _______     ______       ______       ______      ______      ______

   Total Distributions                                        (.49)     (1.22)        (.99)       (1.02)      (1.08)      (1.11)

                                                           _______     ______       ______       ______      ______      ______

   Net asset value, end of period                           $15.49      $15.32      $15.14       $15.42      $14.16      $15.39

                                                            ======      ======      ======       ======      ======      ======


TOTAL INVESTMENT RETURN                                       8.77%(1)    9.55%       4.81%       16.62%       (.99%)      8.75%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of operating expenses to average net assets           .65%(1)     .65%        .65%         .50%        .06%         --

   Ratio of interest expense to average net assets             .03%(1)      --          --           --          --          --

   Ratio of net investment income to
       average net assets                                     6.36%(1)    6.46%       6.50%        6.86%       7.34%       7.15%

   Decrease reflected in above expense ratios
       due to undertakings by the Manager                      .42%(1)     .42%        .52%         .78%       1.43%       1.28%

   Portfolio Turnover Rate                                  221.98%(2)  534.25%     332.96%      254.36%     290.20%      34.02%

   Net Assets, end of period (000's Omitted)               $87,365     $75,930     $57,665      $55,615     $44,937     $54,224

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

(1)  Annualized.

(2)  Not annualized.







                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

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  (" 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 ("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  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
custodian  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. 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.

DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

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

NOTE 2--BANK LINE OF CREDIT:

  The  Fund  participates  with  other  Dreyfus-managed  funds in a $600 million
redemption  credit  facility  (" 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.

  The  average  daily  amount  of borrowings outstanding during the period ended
June  30,  1998  was  approximately  $185,600  with  a  related weighted average
annualized interest rate of 6.62%.

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  through  June  30,  1998  to  reduce  the management fee paid by, or
reimburse  such  excess  expenses  of  the  Fund,  to the extent that the Fund's
aggregate   annual   expenses   (exclusive  of  taxes,  brokerage,  interest  on
borrowings,  commitment fees and extraordinary expenses) exceeded an annual rate
of  .65 of 1% of the value of the Fund's average daily net assets. The reduction
in  management fee, pursuant to the undertaking, amounted to $171,613 during the
period ended June 30, 1998.

  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,  1998,  the  Fund  was  charged $67,260 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,  1998,  the  Fund  was charged $30,649 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, 1998, the Fund was
charged $10,450 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 and the Trustee Emeritus receives 50% of such compensation.

NOTE 4--SECURITIES TRANSACTIONS:

  (A)  The  aggregate  amount  of  purchases  and  sales (including paydowns) of
investment  securities  excluding  short-term  securities and financial futures,
during  the period ended June 30, 1998 amounted to $252,091,300 and 222,640,556,
respectively.

  The  Fund  may invest in financial futures contracts in order to gain exposure
to  or protect against changes in the market. The Fund is exposed to market risk
as  a  result  of  changes in the value of the underlying financial instruments.
Investments in financial futures require the Fund to "mark to market" on a daily
basis,  which  reflects  the  change in the market value of the contracts at the
close of each day's trading. Accordingly, variation margin payments are received
or  made  to  reflect  daily  unrealized gains or losses. When the contracts are
closed,  the  Fund recognizes a realized gain or loss. These investments require
initial  margin  deposits  with  a  custodian,  which  consist  of  cash or cash
equivalents, up to approximately 10% of the contract amount. The amount of these
deposits  is  determined by the exchange or Board of Trade on which the contract
is  traded  and  is  subject to change. Contracts open at June 30, 1998, are set
forth in the Statement of Financial Futures.

  (B)  At  June 30, 1998, accumulated net unrealized appreciation on investments
and  financial  futures  was $922,127, consisting of $1,484,163 gross unrealized
appreciation and $562,036 gross unrealized depreciation.

  At  June 30, 1998, the cost of investments for Federal income tax purposes was
substantially  the  same  as  the cost for financial reporting purposes (see the
Statement of Investments).

DREYFUS BASIC GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)


[dreyfus lion 'd' logo]                                   (reg.tm)

[dreyfus logo]                                   (reg.tm)

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











Printed in U.S.A.                                              080SA986

BASIC

GNMA

Fund

Semi-Annual

Report

June 30, 1998



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