DREYFUS PREMIER GNMA FUND
N-30D, 1999-03-09
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YEAR 2000 ISSUES (UNAUDITED)

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

<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

We are pleased to report the performance for Dreyfus Premier GNMA Fund for the
12-month period ended December 31, 1998, as shown in the following table:

                                                                         Approximate                  Distribution Rate

                                         Total Return*                Income Dividends                    Per Share**
                                         ___________                _____________________             _________________
<S>                                          <C>                           <C>                              <C>
Class A Shares                               6.51%                         $0.808                           5.18%

Class B Shares                               5.90%                         $0.734                           4.92%

Class C Shares                               5.62%                         $0.683                           4.59%

Lehman Brothers GNMA Index***                6.93%
</TABLE>

ECONOMIC REVIEW

  During  1998,  the  main  regions  of  the  world  had very different economic
fundamentals.  The  U.S.  entered  the  year  with  a  strong  economy near full
employment, with unemployment only slightly above 4%. The tight labor market led
the  Federal  Reserve  Board (the "Fed") to contemplate a rise in interest rates
early  in  the  year,  but  world  economic  weakness  generated powerful enough
disinflationary  forces  that  the Fed acted instead to ease credit beginning in
September.  After many years of subpar economic growth, continental Europe moved
into  a  sustained economic expansion. The overall European economy benefited as
interest rates in peripheral countries such as Spain and Italy fell, approaching
the  lower  levels  established  by Germany, on the eve of currency unification.
Unlike  the U.S., Europe has substantial excess capacity of productive plant and
labor. In Asia, weak economies were pervasive as a result of a financial crisis.
The  Latin  American economies weakened in turn as the financial stresses spread
throughout  that  region.  On  balance, there was a substantial weakening of the
world  economy  over  the  course  of  1998,  moderated  mainly  by the American
consumer's role as "spender of last resort."

A main influence on the U.S. economy during the year was the  foreign  financial
crisis  and  consequent  cooling  of the world economy. The positive effects hit
first.  Actual  inflation  and  expected inflation dropped, causing a decline in
long-term  Treasury  bond  yields  and  mortgage  rates.  This  caused a boom in
housing.  The  fall in inflation left more of the growth in consumer income with
which to buy goods and services. Thus, consumers benefited from a combination of
good  growth  in income after inflation, a strong labor market, and increases in
the  prices  of assets they owned, including bonds, stocks and real estate. In a
sense,  1998  was  a  year  of  disinflationary boom in the U.S., as above-trend
economic growth coincided with negligible inflation.

  The  negative  effect of Asian weakness was felt in the industrial sector more
than  in  the consumer sector. Corporate profits weakened, especially in sectors
affected  by  the Asian crisis such as world-traded commodities (oil, metals and
paper) and exports.

  Evidence  of  a  weaker world economy accumulated during 1998 as the financial
stresses  continued.  A  worsened  financial crisis occurred between the Russian
default  in  mid-August  and  the  fallout from the Long Term Capital Management
hedge  fund crisis through early October. However, energetic steps were taken to
stabilize the Japanese banks, design a support package for Brazil, ease monetary
policy,   and  help  overinvested  financial  institutions  rebuild  their  cash
reserves.  Indications of a calming of financial fears were evident in the final
months  of  the  year.  In  any  case, there appears to have been a shift in the
priorities   of   key   policymakers   from   fighting  potential  inflation  to
restimulating future world economic growth.

  The  global  economy  survived  a  triple financial crisis in 1998 from Japan,
emerging  market  countries  and  overextended  financial  institutions.  Excess
capacity  persists  in  many  worldwide  industries  after years of high capital
spending  followed by the onset of a worldwide weakening in demand. Fortunately,
the  U.S.  has led the world in making the transition from the old manufacturing
industries  to  the  new  growth  industries,  such  as biotechnology, software,
computer   hardware   and  the  Internet.  This  contributed  to  the  favorable
combination  of low unemployment and low inflation in the U.S., and may yet lead
toward more efficient allocation of capital elsewhere in the world.

  As  1998 ended, interest rates set by central banks remained in a downtrend in
most  parts of the world, including Europe and the U.S. A similar trend had even
begun in many emerging countries, as the stresses of financial crisis relaxed.

MARKET ENVIRONMENT

  During  the fourth quarter of 1998, U.S. interest rates reached new lows. This
can  be  attributed  mostly  to  the tremendous flight to quality, or maybe more
appropriately,  the financial panic that occurred in the worldwide bond markets.
With  several Japanese-based global financial institutions filing for bankruptcy
protection,  worldwide  liquidity  reached  dangerously  low levels. This led to
widespread demand for U.S. Treasuries, pushing interest rates lower, and to mass
liquidations of many types of fixed income securities.

  As  one  might  expect, the market for mortgage-backed securities faced a very
difficult  time,  especially  in September and October. As shown by the Mortgage
Banker  Association's Index, homeowner refinancing activity reached an  all-time
high  during  the  month of October. That activity is the primary contributor to
mortgage-backed  securities  prepayments;  hence, the prepayment spreads of both
agency  and  non-agency  mortgage-backed  securities reached some of the highest
levels   in   history.   All   this   contributed  to  the  underperformance  of
mortgage-backed securities compared to U.S. Treasuries.

  The  flight-to-quality  frenzy  that  occurred  in September and October shook
other  areas  of the mortgage-backed securities market as well. Most notable was
the  liquidation  of  large  holdings  of the huge hedge fund, Long Term Capital
Management.  Its  holdings included large quantities of high quality residential
and commercial mortgage-backed securities. Its forced liquidation of billions of
dollars of commercial mortgage-backed securities overwhelmed the market, causing
an  imbalance  of  supply  and  demand.  This  imbalance  resulted in the sudden
widening  of  the  yield  spread  by  over  100  basis  points on AAA commercial
mortgage-backed securities.

  Fortunately  the  Fed saw fit to continue cutting the Fed funds rate. This has
helped bring liquidity back into the market, and the supply and demand imbalance
has  begun  to  normalize.  Our  market  outlook,  going  forward,  is for lower
long-term  U.S.  interest  rates  during  1999  and  for mortgage refinancing to
continue  at  a  high  level.  Also,  we expect that liquidity might improve, as
investors continue to return to the marketplace at the start of 1999 looking for
high-yielding   securities.   Therefore,   we   also   expect  that  spreads  on
call-protected  assets with relatively high yield may be in strong demand. These
securities   would   include  GNMA  project  loans,  commercial  mortgage-backed
securities, and discount dollar-priced GNMA securities.

PORTFOLIO OVERVIEW

  As  might be expected, during this dramatic shift in the fixed-income markets,
we  did  make  some significant changes to the Fund's holdings. Most notably, we
increased  the  Fund' s  average effective duration to 7% longer than the Lehman
GNMA  Index.  Consistent  with  our  anticipation  of  increased  mortgage  loan
refinancing,  we' ve  also  continued to look for further prepayment protection.
Hence,  we have continued to add discounted GNMA 30-year pass-through securities
to  the  portfolio.  We  have  also  continued  to sell our higher dollar-priced
securities.

  With  these significant shifts in the market, liquidity has been at a premium;
hence,   we   have   continued  to  use  our  existing  GNMA  adjustable  rate,
mortgage-backed  securities  (ARMs)  as  a  highly  liquid, yield-improving cash
substitute. Even though mortgage prepayments have been at extremely high levels,
discount  GNMA  ARMs have continued to add additional yield and liquidity to the
Fund.

  Lastly,  during  the  month  of  December, we were able to sell 7% of our GNMA
project  loans  at  a  significant premium to their normal market value. We have
since  replaced  5%  of  these  assets  into the Fund with GNMA project loans at
higher  yields.  GNMA  project  loans  should  continue  to  add  stability  and
protection to the Fund as it faces the ongoing mortgage-refinancing wave.

               Sincerely,


               [Michael Hoeh signature]


               Michael Hoeh

               Portfolio Manager

 January 15, 1999

New York, N.Y.

*Total  return  includes  reinvestment of dividends and any capital gains paid,
and  does  not  take  into consideration the maximum initial sales charge in the
case  of  Class  A  shares  or  the  applicable contingent deferred sales charge
imposed on redemptions in the case of Class B and Class C shares.

**Distribution  rate per share is based upon dividends per share paid from net
investment  income  during the period, divided by the maximum offering price per
share  at the end of the period, in the case of Class A shares, or the net asset
value per share in the case of Class B or Class C shares.

***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.

<TABLE>
DREYFUS PREMIER GNMA FUND                                   DECEMBER 31, 1998
- -----------------------------------------------------------------------------

COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN DREYFUS PREMIER GNMA FUND
               CLASS A SHARES AND THE LEHMAN BROTHERS GNMA INDEX

                                    Dollars

$24,216

Lehman Brothers GNMA Index*

$21,416

Dreyfus Premier GNMA Fund (Class A Shares)

*Source: Lehman Brothers

Average Annual Total Returns
- -----------------------------------------------------------------------------

                    Class A Shares                                                          Class B Shares
      _______________________________________________________            ________________________________________________________

                                                                                                             % Return Reflecting

                                               % Return                                                     Applicable Contingent

                                              Reflecting                                      % Return         Deferred Sales

                        % Return Without    Maximum Initial                                  Assuming No         Charge Upon

Period Ended 12/31/98     Sales Charge    Sales Charge (4.5%)     Period Ended 12/31/98      Redemption          Redemption*
___________________       ____________     ________________       ________________           __________       ________________
<S>                         <C>               <C>                 <C>                         <C>                <C>
1 Year                      6.51%             1.68%               1 Year                      5.90%              1.90%

5 Years                     6.27              5.29                5 Years                     5.73               5.41

10 Years                    8.41              7.91                From Inception (1/15/93)    5.94               5.81

                       Class C Shares
_______________________________________________________

                                      % Return Reflecting

                                     Applicable Contingent

                         % Return       Deferred Sales

                         Assuming        Charge Upon

Period Ended 12/31/98  No Redemption     Redemption**
___________________    ____________   __________________

1 Year                     5.62%           4.62%

From Inception (10/16/95)  6.11            6.11
- ---------------

Past performance is not predictive of future performance.
</TABLE>

The  above graph compares a $10,000 investment made in Class A shares of Dreyfus
Premier  GNMA  Fund  on  12/31/88  to  a  $10,000  investment made in the Lehman
Brothers  GNMA  Index on that date. All dividends and capital gain distributions
are  reinvested.  Performance  for Class B and Class C shares will vary from the
performance  of  Class  A  shares  shown above due to differences in charges and
expenses.

The Fund invests primarily in Ginnie Maes, and its performance shown in the line
graph  takes into account the maximum initial sales charge on Class A shares and
all  other  applicable  fees  and expenses. Unlike the Fund, 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. All issues
have at least one year to maturity and an outstanding par value of at least $100
million.  The Index does not take into account charges, fees and other expenses.
These  factors  can  contribute to the Index potentially outperforming the Fund.
Further   information   relating   to   Fund   performance,   including  expense
reimbursements,  if applicable, is contained in the Financial Highlights section
of the Prospectus and elsewhere in this report.

*   The maximum contingent deferred sales charge for Class B shares is 4% and is
reduced to 0% after six years.

** The  maximum  contingent deferred sales charge for Class C shares is 1% for
shares redeemed within one year of the date of purchase.

<TABLE>
DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                                    DECEMBER 31, 1998

                                                                                                 Principal

Bonds and Notes--113.4%                                                                           Amount              Value
- -------------------------------------------------------                                         ___________        ____________
<S>                                                                                            <C>                <C>
Mortgage-Backed Securities--99.4%

Government National Mortgage Association I:

   6%  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $  7,000,000  (a)  $   6,940,920

   6.50% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       20,500,000  (a)     20,660,105

   6.50%, 11/15/2007-7/15/2011 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       11,315,428          11,587,678

   6.50%, 5/15/2009  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,652,541  (b)      4,767,366

   7%, 2/15/2022-12/15/2023  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       12,658,284          13,023,180

   7.50%, 3/15/2002-12/15/2023 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        9,857,634          10,231,349

   8%, 4/15/2008 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,208,378  (b)      4,376,712

   8%, 12/15/2021-1/15/2022  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          615,318             645,506

   8.50%, 10/15/2017-12/15/2022  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        3,486,492           3,738,791

   9%, 4/15/2016-12/15/2022  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        3,973,956           4,262,802

   9.50%, 11/15/2016-1/15/2025 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        3,808,116           4,133,356

   11.50%, 1/15/2013 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           70,580              77,285

                                                                                                                  _____________

                                                                                                                     84,445,050

                                                                                                                  _____________


Government National Mortgage Association I,

  Project Loans:

   6.25%, 11/15/2018 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,496,941           1,520,788

   6.32%, 10/15/2023 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,528,168           1,543,450

   6.35%, 6/15/2030  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          996,701           1,017,562

   6.375%, 2/15/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,489,408           1,521,521

   6.45%, 8/15/2033-11/15/2033 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,865,815           5,002,013

   6.50% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        2,184,500  (a)      2,256,851

   6.50%, 7/15/2033  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          932,842             959,950

   6.625%, 11/15/2033  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,728,011           1,783,618

   6.70% . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        3,727,100  (a)      3,834,254

   9.25%, 10/15/2023 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        4,694,183  (b)      4,697,093

                                                                                                                  _____________

                                                                                                                     24,137,100

                                                                                                                  _____________


Government National Mortgage Association II:

   5%, 4/20/2028-5/20/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       18,059,987  (c)     18,138,910

   5.50%, 4/20/2028  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        6,611,082  (c)      6,660,666

   9%, 7/20/2025 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        3,191,677           3,389,147

   11%, 12/20/2013-10/20/2015  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        1,018,175           1,144,778

                                                                                                                  _____________

                                                                                                                     29,333,501

                                                                                                                  _____________

Total Mortgage-Backed Securities . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                          137,915,651

                                                                                                                  _____________


DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                        DECEMBER 31, 1998

                                                                                                 Principal

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

U.S. Governments--14.0%

  U.S. Treasury Bonds:

       4.75%, 11/15/2008 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $  5,000,000      $    5,038,900

       5.25%, 11/15/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        5,000,000           5,121,800
                                                                                                                  _____________

                                                                                                                     10,160,700
                                                                                                                  _____________

   U.S. Treasury Notes;

       5.375%, 6/30/2003 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        9,000,000  (a)      9,265,230

                                                                                                                  _____________

Total U.S. Governments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           19,425,930
                                                                                                                  _____________

TOTAL BONDS AND NOTES

   (cost $155,268,083) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $157,341,581
                                                                                                                  _____________


Short-Term Investments--10.0%
- -------------------------------------------------------



U.S. Treasury Bills:

   4.39%, 2/18/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $       60,000  (b)  $      59,674

   4.38%, 3/18/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       13,912,000  (b)     13,788,879

   4.38%, 3/25/1999  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           36,000  (b)         35,640
                                                                                                                  _____________

TOTAL SHORT-TERM INVESTMENTS

   (cost $13,877,894)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                        $  13,884,193
                                                                                                                  _____________

TOTAL INVESTMENTS

   (cost $169,145,977) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           123.4%        $171,225,774
                                                                                                    _______       _____________

LIABILITIES, LESS CASH AND RECEIVABLES . . . . . . . . . . . . . . . . . . . . . . . . . .          (23.4%)      $ (32,520,958)
                                                                                                    _______       _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           100.0%        $138,704,816
                                                                                                    _______       _____________



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.








                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                         DECEMBER 31, 1998

                                                                                                    Cost              Value
                                                                                                 ____________      ____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $169,145,977      $171,225,774

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                              512,761

                                 Receivable for investment securities sold . . . . . . . .                            7,192,947

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                              778,130

                                 Receivable for shares of Beneficial Interest subscribed . .                            101,324

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               14,863

                                                                                                                  _____________

                                                                                                                    179,825,799

                                                                                                                  _____________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                               90,528

                                 Due to Distributor  . . . . . . . . . . . . . . . . . . .                               37,862

                                 Payable for investment securities purchased . . . . . . .                           40,869,819

                                 Payable for shares of Beneficial Interest redeemed  . . .                               29,787

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               92,987

                                                                                                                  _____________

                                                                                                                     41,120,983

                                                                                                                  _____________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $138,704,816
                                                                                                                  _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $140,363,914

                                 Accumulated undistributed investment income--net  . . . .                               6,436

                                 Accumulated net realized gain (loss) on investments . . .                           (3,745,331)

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4  . . . . . . . . . . . . . . . .                            2,079,797
                                                                                                                  _____________


 NET ASSETS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $138,704,816
                                                                                                                  _____________



                                                 NET ASSET VALUE PER SHARE
                              ______________________________________________________________________________

                                                                                 Class A          Class B          Class C
                                                                               ___________    _____________     ____________

Net Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $94,369,229      $41,774,992       $2,560,595

Shares Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . . .         6,338,704        2,803,629          171,879


 NET ASSET VALUE PER SHARE . . . . . . . . . . . . . . . . . . . . . . .            $14.89           $14.90           $14.90
                                                                                   _______          _______          _______


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                          YEAR ENDED DECEMBER 31, 1998

INVESTMENT INCOME
<S>                                                                                         <C>                    <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                 $8,735,048

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . .          $   740,305

                                 Shareholder servicing costs--Note 3(c)  . . . . .              464,162

                                 Distribution fees--Note 3(b)  . . . . . . . . . .              202,184

                                 Registration fees . . . . . . . . . . . . . . . .               57,426

                                 Professional fees . . . . . . . . . . . . . . . .               47,481

                                 Trustees' fees and expenses--Note 3(d)  . . . . .               37,046

                                 Custodian fees--Note 3(c) . . . . . . . . . . . .               34,192

                                 Prospectus and shareholders' reports  . . . . . .               21,694

                                 Loan commitment fees--Note 2  . . . . . . . . . .                1,175

                                 Miscellaneous . . . . . . . . . . . . . . . . . .               15,020

                                                                                            ___________

                                    Total Expenses . . . . . . . . . . . . . . . .                                  1,620,685

                                                                                                                  ___________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                  7,114,363

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

                                 Net realized gain (loss) on investments . . . . .           $2,797,330

                                 Net unrealized appreciation (depreciation)
                                    on investments . . . . . . . . . . . . . . . .           (1,696,582)

                                                                                            ___________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . .                                  1,100,748

                                                                                                                  ___________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                 $8,215,111

                                                                                                                  ___________










                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                             Year Ended         Year Ended

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

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    7,114,363       $    8,000,888

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .           2,797,330              897,569

   Net unrealized appreciation (depreciation) on investments . . . . . . . . . . . .          (1,696,582)           2,761,124

                                                                                           _____________        _____________

          Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . .           8,215,111           11,659,581

                                                                                           _____________        _____________


DIVIDENDS TO SHAREHOLDERS FROM:

   Investment income--net:
       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (5,149,217)          (5,918,534)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (1,926,683)          (2,072,934)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             (39,780)              (1,667)

                                                                                           _____________        _____________

          Total Dividends  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (7,115,680)          (7,993,135)

                                                                                           _____________        _____________


BENEFICIAL INTEREST TRANSACTIONS:

   Net proceeds from shares sold:
       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          56,066,526           32,138,926

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          12,810,406            4,659,005

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,868,856              107,034

   Dividends reinvested:
       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,495,046            4,022,706

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,344,579            1,431,495

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              23,643                1,502

   Cost of shares redeemed:
       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (61,029,061)         (54,989,643)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (11,479,877)          (8,182,513)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (450,210)             (16,644)
                                                                                           _____________        _____________

          Increase (Decrease) in Net Assets from Beneficial Interest Transactions  .           3,649,908          (20,828,132)
                                                                                           _____________        _____________

             Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .           4,749,339         (17,161,686)


NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         133,955,477          151,117,163
                                                                                           _____________        _____________

   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $138,704,816         $133,955,477
                                                                                           _____________        _____________


UNDISTRIBUTED INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . .       $      6,436         $      7,753
                                                                                           _____________        _____________




                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS (CONTINUED)

                                                                                                     Shares
                                                                                          _______________________________

                                                                                         Year Ended         Year Ended

                                                                                      December 31, 1998   December 31, 1997
                                                                                       _________________  _________________
<S>                                                                                        <C>                 <C>
CAPITAL SHARE TRANSACTIONS:

  Class A

  _______

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       3,776,757          2,194,845

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . .         235,306            277,860

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (4,112,467)        (3,775,941)
                                                                                            __________         __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . . . .        (100,404)        (1,303,236)

                                                                                            __________         __________


  Class B

  _______

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         861,589            320,620

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . .          90,452             98,717

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (772,433)          (564,582)

                                                                                            __________         __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . . . .         179,608          (145,245)
                                                                                            __________         __________


  Class C

  _______

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         193,103              7,322

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . .           1,589                103

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (30,238)            (1,160)

                                                                                            __________          __________

             Net Increase (Decrease) in Shares Outstanding . . . . . . . . . . . . . .         164,454              6,265
                                                                                            __________          __________

























                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER 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.

                                                                                              Class A Shares
                                                                              __________________________________________________

                                                                                          Year Ended December 31,
                                                                              __________________________________________________

PER SHARE DATA:                                                          1998        1997         1996        1995        1994
                                                                        ______      ______       ______      ______      ______
<S>                                                                     <C>         <C>          <C>         <C>         <C>
   Net asset value, beginning of period  . . . . . . . . . . . . .      $14.76      $14.37       $14.66      $13.54      $14.84
                                                                        ______      ______       ______      ______      ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . .         .81         .85          .88         .91         .88

   Net realized and unrealized gain (loss) on investments  . . . .         .13         .39         (.29)       1.12       (1.30)
                                                                        ______      ______       ______      ______      ______

   Total from Investment Operations  . . . . . . . . . . . . . . .         .94        1.24          .59        2.03       (.42)
                                                                        ______      ______       ______      ______      ______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . .        (.81)       (.85)        (.88)       (.91)       (.88)
                                                                        ______      ______       ______      ______      ______

   Net asset value, end of period  . . . . . . . . . . . . . . . .      $14.89      $14.76       $14.37      $14.66      $13.54
                                                                        ______      ______       ______      ______      ______

TOTAL INVESTMENT RETURN* . . . . . . . . . . . . . . . . . . . . .        6.51%       8.91%        4.25%      15.43%      (2.91%)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . .        1.05%       1.05%        1.04%       1.03%        .94%

   Ratio of net investment income to average net assets  . . . . .        5.44%       5.87%        6.17%       6.45%       6.20%

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  . . . . . . . . . . . .          --          --           --          --         .06%

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . .      283.20%     518.62%      267.22%     349.24%     427.27%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . .     $94,369     $95,071     $111,267    $134,545    $141,456

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

* Exclusive of sales load.














                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

  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.
                                                                                              Class B Shares
                                                                              __________________________________________________

                                                                                          Year Ended December 31,
                                                                              __________________________________________________

PER SHARE DATA:                                                           1998        1997         1996        1995        1994
                                                                         ______      ______       ______      ______      ______

   Net asset value, beginning of period  . . . . . . . . . . . . .       $14.78      $14.38      $14.67      $13.55      $14.84
                                                                         ______      ______      ______      ______      ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . .          .73         .78        .81         .84          .80

   Net realized and unrealized gain (loss) on investments  . . . .          .12         .40       (.29)        1.12      (1.29)
                                                                         ______      ______      ______      ______      ______

   Total from Investment Operations  . . . . . . . . . . . . . . .          .85        1.18         .52        1.96       (.49)
                                                                         ______      ______      ______      ______      ______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . .        (.73)       (.78)       (.81)       (.84)       (.80)
                                                                         ______      ______      ______      ______      ______

   Net asset value, end of period  . . . . . . . . . . . . . . . .       $14.90      $14.78      $14.38      $14.67      $13.55
                                                                        ______      ______       ______      ______      ______

TOTAL INVESTMENT RETURN* . . . . . . . . . . . . . . . . . . . . .        5.90%      8.43%       3.71%      14.83%      (3.39%)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . .        1.56%      1.55%       1.55%       1.55%        1.51%

   Ratio of net investment income to average net assets  . . . . .        4.93%      5.36%       5.65%       5.89%        5.61%

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  . . . . . . . . . . . .        --          --          --          --           .05%

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . .      283.20%    518.62%     267.22%     349.24%       427.27%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . .     $41,775    $38,775     $39,833     $41,934       $35,710

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

* Exclusive of sales load.















                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

  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.

                                                                                                 Class C Shares
                                                                                   _____________________________________________

                                                                                            Year Ended December 31,
                                                                                   _____________________________________________

PER SHARE DATA:                                                                1998          1997         1996        1995(1)
                                                                              ______      _______      _______       _______

   Net asset value, beginning of period  . . . . . . . . . . . . . . . . .    $14.77       $14.38       $14.67        $14.48
                                                                              ______      _______      _______       _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . .      .68           .75          .77           .16

   Net realized and unrealized gain (loss) on investments  . . . . . . . .      .13           .39         (.29)          .19
                                                                              ______      _______      _______       _______

   Total from Investment Operations  . . . . . . . . . . . . . . . . . . .      .81          1.14          .48           .35
                                                                              ______      _______      _______       _______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . . . . . .      (.68)        (.75)        (.77)         (.16)
                                                                              ______      _______      _______       _______

   Net asset value, end of period  . . . . . . . . . . . . . . . . . . . .    $14.90       $14.77       $14.38        $14.67
                                                                              ______      _______      _______       _______

TOTAL INVESTMENT RETURN(2) . . . . . . . . . . . . . . . . . . . . . . . .      5.62%        8.13%        3.44%        11.47%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . . . . . .      1.80%        1.80%        1.79%         1.79%(3)

   Ratio of net investment income to average net assets  . . . . . . . . .      4.40%        5.11%        5.42%         5.25%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . . . . . .    283.20%      518.62%      267.22%        349.24%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . . . . . .    $2,561        $110           $17           $1

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

(1) From October 16, 1995 (commencement of intital offering) to December 31,
1995.

(2) Exclusive of sales load.

(3) Annualized.












                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  Premier  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. (the "Distributor") is the distributor of
the  Fund's shares. The Fund is authorized to issue an unlimited number of $.001
par  value shares in the following classes of shares: Class A, Class B and Class
C. Class A shares are subject to a sales charge imposed at the time of purchase,
Class  B  shares  are  subject  to  a  contingent deferred sales charge ("CDSC")
imposed  on  Class  B  share redemptions made within six years of purchase (five
years  for shareholders beneficially owning Class B shares on November 30, 1996)
and  Class  C shares are subject to a CDSC imposed on shares redeemed within one
year  of  purchase.  Other  differences between the classes include the services
offered to and the expenses borne by each class and certain voting rights.

  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) 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.

(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  received net earnings credits of $4,537 during the period
ended December 31, 1998 based on available cash balances left on deposit. Income
earned under this arrangement is included in interest income.

  (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.

  (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 $3,705,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized subsequent to December 31, 1998. If not
applied, the carryover expires in fiscal 2002.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

NOTE 2--BANK LINE OF CREDIT:

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

NOTE 3--MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:

(A) Pursuant to a management agreement with the Manager, the management fee is
computed  at  the  annual  rate  of .55 of 1% of the value of the Fund's average
daily net assets and is payable monthly.

  Dreyfus  Service  Corporation,  a  wholly-owned  subsidiary  of  the  Manager,
retained  $2,534  during  the  period  ended December 31, 1998, from commissions
earned on sales of the Fund's shares.

  (B)  Under the Distribution Plan adopted pursuant to Rule 12b-1 under the Act,
Class  B and Class C shares pay the Distributor for distributing their shares at
an  annual  rate  of  .50  of 1% of the value of the average daily net assets of
Class  B  shares  and  .75 of 1% of the value of the average daily net assets of
Class  C  shares. During the period ended December 31, 1998, Class B and Class C
shares   were  charged  $195,385  and  $6,799,  respectively,  pursuant  to  the
Distribution Plan.

  (C)  Under  the Shareholder Services Plan, Class A, Class B and Class C shares
pay the Distributor at an annual rate of .25 of 1% of the value of their average
daily  net  assets  for the provision of certain services. The services provided
may  include  personal  services  relating  to  shareholder  accounts,  such  as
answering  shareholder  inquiries  regarding  the Fund and providing reports and
other  information,  and  services  related  to  the  maintenance of shareholder
accounts.  The  Distributor  may  make  payments to Service Agents (a securities
dealer,  financial  institution  or  other  industry professional) in respect of
these  services.  The  Distributor  determines the amounts to be paid to Service
Agents.  During the period ended December 31, 1998, Class A, Class B and Class C
shares  were charged $236,544, $97,692 and $2,266, respectively, 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  December  31, 1998, the Fund was charged $99,157 pursuant to the transfer
agency agreement.

  The  Fund compensates Mellon under a custody agreement for providing custodial
services  for  the Fund. During the period ended December 31, 1998, the Fund was
charged $34,192 pursuant to the custody agreement.

  (D)  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 $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

NOTE 4--SECURITIES TRANSACTIONS:

The aggregate amount of purchases and sales (including paydowns) of investment
securities,  excluding  short-term  securities, during the period ended December
31, 1998 amounted to $425,739,757 and $424,195,952, respectively.

  At  December  31, 1998, accumulated net unrealized appreciation on investments
was  $2,079,797,  consisting  of  $2,307,077  gross  unrealized appreciation and
$227,280 gross unrealized depreciation.

  At  December 31, 1998, the cost of investments for Federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).


DREYFUS PREMIER GNMA FUND
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF TRUSTEES

DREYFUS PREMIER GNMA FUND

  We  have  audited  the  accompanying  statement  of  assets and liabilities of
Dreyfus  Premier  GNMA  Fund,  including  the  statement  of  investments, as of
December  31,  1998,  and  the related statement of operations for the year then
ended,  the  statement of changes in net assets for each of the two years in the
period  then  ended,  and  financial  highlights for each of the years indicated
therein.   These   financial   statements   and  financial  highlights  are  the
responsibility  of  the  Fund's  management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

  We  conducted  our  audits  in  accordance  with  generally  accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included verification by
examination  of  securities  held  by  the custodian as of December 31, 1998 and
confirmation  of  securities  not  held  by the custodian by correspondence with
others.  An  audit  also  includes  assessing the accounting principles used and
significant  estimates  made  by  management,  as well as evaluating the overall
financial   statement  presentation.  We  believe  that  our  audits  provide  a
reasonable basis for our opinion.

  In  our opinion, the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus  Premier  GNMA  Fund at December 31, 1998, the results of its operations
for the year then ended, the changes in its net assets for each of the two years
in the period then ended, and the financial highlights for each of the indicated
years, in conformity with generally accepted accounting principles.





New York, New York

February 4, 1999


DREYFUS PREMIER 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.                                         027/614AR9812

                                 ANNUAL REPORT
- -------------------------------------------------------------------------------

                                DREYFUS PREMIER

                                   GNMA FUND
- -------------------------------------------------------------------------------

                               DECEMBER 31, 1998


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[Dreyfus lion/2hres logo]



COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT
IN DREYFUS PREMIER GNMA FUND CLASS A SHARES AND THE
LEHMAN BROTHERS GNMA INDEX

EXHIBIT A:


                    LEHMAN              DREYFUS
                   BROTHERS             PREMIER
 PERIOD              GNMA              GNMA FUND
                    INDEX *        (CLASS A SHARES)

12/31/88            10,000                9,550
12/31/89            11,569               10,745
12/31/90            12,792               11,880
12/31/91            14,845               13,713
12/31/92            15,945               14,604
12/31/93            16,994               15,802
12/31/94            16,738               15,342
12/31/95            19,593               17,709
12/31/96            20,677               18,462
12/31/97            22,648               20,107
12/31/98            24,216               21,416


*Source: Lehman Brothers




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