DREYFUS PREMIER GNMA FUND
N-30D, 2000-02-24
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Dreyfus Premier

GNMA Fund

ANNUAL REPORT December 31, 1999

(reg.tm)





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

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

Year 2000 Issues (Unaudited)

The fund could be adversely affected if the computer systems used by Dreyfus and
the fund's other service providers do not properly process and calculate
date-related information from and after January 1, 2000. Dreyfus has taken steps
designed to avoid year 2000-related problems in its systems and to monitor the
readiness  of other service providers.  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.


                                 Contents

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

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Fund Performance

                             8   Statement of Investments

                            10   Statement of Assets and Liabilities

                            11   Statement of Operations

                            12   Statement of Changes in Net Assets

                            14   Financial Highlights

                            17   Notes to Financial Statements

                            21   Report of Independent Auditors

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

                                 Back Cover

                                                                       The Fund

                                                      Dreyfus Premier GNMA Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this  annual report for Dreyfus Premier GNMA Fund
covering  the  12-month  period from January 1, 1999, through December 31, 1999.
Inside,  you' ll find valuable information about how the fund was managed during
the  reporting  period,  including  a  discussion  with  Michael Hoeh, portfolio
manager and a member of the Dreyfus Taxable Fixed Income Team.

The  past  year  was  challenging  for  most fixed-income investors. Faster than
expected  economic  growth  in  the  U.S.  and  overseas  fueled  concerns  that
long-dormant  inflationary  pressures  might re-emerge, potentially reducing the
future  value of bonds' interest and principal payments. These concerns prompted
the  Federal  Reserve  Board  to raise key short-term interest rates three times
during  the summer and fall of 1999 in an attempt to prevent a reacceleration of
inflation.

While  U.S.  Treasury and agency securities declined sharply in this environment
during 1999, prices of higher yielding securities -- such as corporate bonds and
mortgage-backed  securities  --  fell less severely. In an environment of robust
economic  growth,  investors  appeared  more  comfortable  owning bonds that are
influenced  primarily  by credit risk, and they avoided securities that are most
affected by interest-rate risk.

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

Sincerely,


Stephen E. Canter

President and Chief Investment Officer

The Dreyfus Corporation

January 14, 2000




DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager  Dreyfus Taxable Fixed Income Team

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

For  the  12-month  period  ended  December  31, 1999, Dreyfus Premier GNMA Fund
performed as shown in the following table:

<TABLE>
<CAPTION>



                                                                              APPROXIMATE              DISTRIBUTION RATE
                                          TOTAL RETURN(1)                INCOME DIVIDENDS                     PER SHARE(2
                                       (_________________)            ______________________             ______________________

<S>                                           <C>                              <C>                               <C>
Class A Shares                               -0.75%                            $0.77                             5.17%

Class B Shares                                 0.23%                          $0.694                             4.87%

Class C Shares                               -0.03%                           $0.656                             4.60%

Lehman    Brothers

   GNMA Index(3)                             -1.93%
</TABLE>


We  attribute  the  fund' s  generally  positive  absolute  returns to our asset
allocation   and   duration   strategies.  We  emphasized  GNMA  mortgage-backed
securities  over  U.S.  Treasury  securities,  enabling  us  to benefit from the
relative  strength  of  the  GNMA market sector. In addition, by maintaining the
fund' s  average duration -- a measure of sensitivity to changing interest rates
- --  toward  the  short  end  of its range, we successfully cushioned the eroding
effects of rising interest rates.

What is the fund's investment approach?

The  fund invests primarily in GNMA (Government National Mortgage Association or
" Ginnie  Mae" ) and  GNMA-related securities. The remainder may be allocated to
other  securities  issued  or  guaranteed  by  the U.S. government, such as U.S.
Treasury  securities.  The  fund' s  goal  is to provide a high level of current
income consistent with capital preservation.

We    use    a    four-step    investment    approach:

*    PREPAYMENT TREND ANALYSIS measures the rate at which homeowners are
     prepaying their mortgages because of home sales or refinancing. An increase
     in this trend adversely affects returns of mortgage-backed securities.

                                                                        The Fund



DISCUSSION OF FUND PERFORMANCE (CONTINUED)

*    OPTION-ADJUSTED SPREAD ANALYSIS compares the early redemption
     characteristics of different mortgage-backed securities with other
     securities, such as U.S. Treasuries, to help us measure the risk that
     individual securities may be vulnerable to early redemption.

*    CASH FLOW STRUCTURE ANALYSIS helps us determine the predictability and
     security of cash flows provided by different bond structures.

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

What other factors influenced the fund's performance?

While  the  entire U.S. bond market was negatively influenced by inflation fears
and  rising  interest  rates during 1999, their effects were less severe for the
fund' s  holdings  of  GNMA  mortgage-backed  securities  than for U.S. Treasury
securities.  That' s  because  mortgage  prepayments decline when interest rates
rise, helping to support the prices of mortgage-backed securities.

Higher  interest  rates were largely the result of faster than expected economic
growth.  Soon  after  1999  began,  fixed-income  investors  grew concerned that
long-dormant  inflationary  pressures  might re-emerge. In response, the Federal
Reserve  Board  raised  short-term  interest rates by a total of 0.75 percentage
points  in  an  attempt  to  forestall an acceleration of inflation. At the same
time,  strong economic growth reassured investors that a recession was unlikely,
and  they  became  more  comfortable  holding  higher  yielding  assets  such as
corporate    bonds    and    mortgage-backed    securities.

As  assets  flowed  into higher yielding bonds, they flowed out of U.S. Treasury
securities,  putting  downward  pressure  on  prices. As a result, U.S. Treasury
securities  underperformed  most  other  sectors  of  the  bond  market in 1999,
including  mortgage-backed  securities.  As  prices  of U.S. Treasury securities
fell,   the   differences   in  yields  between  U.S.  Treasury  securities  and
mortgage-backed  securities  tightened  during  the  summer,  before  moderating
somewhat    during    the    second    half    of    the    year.    We    took

advantage  of  these  market  conditions  by  emphasizing  GNMA  mortgage-backed
securities and generally avoiding U.S. Treasury securities.

What is the fund's current strategy?

Our  strategy  is  to  emphasize those areas of the government-guaranteed market
sector  that  we  believe  will provide the highest returns with the least risk.
This   strategy  was  relatively  successful  in  1999' s  rising  interest-rate
environment,   largely   because   of   our   focus  on  GNMA  securities.  GNMA
adjustable-rate  mortgage  securities  (ARMs)  ranked  among the best-performing
securities in the portfolio. Unlike fixed-rate securities, which tend to decline
in  price  as  interest  rates  rise,  the  income  payments  on adjustable-rate
securities    generally    rise    along    with    rising   interest   rates.

During  the  fourth  quarter  of  1999,  we reduced our holdings of 30-year GNMA
pass-through  mortgage-backed  securities  and  increased  our  holdings  in the
15-year  maturity  range.  This  shift  was  rewarded  when  15-year  securities
generally  outperformed  30-year  bonds.  We also increased our holdings of U.S.
Treasury  Inflation Protection Securities in order to help protect the portfolio
from    a    potentially    higher    rate    of    inflation    in    2000.

Throughout  most  of  1999, we maintained the fund's average duration toward the
short end of the neutral range. This relatively defensive position enabled us to
avoid  the  brunt  of  price  declines in the bond market. Toward the end of the
reporting  period,  we  lengthened  the  fund' s duration to neutral in order to
enhance    the    fund'   s    yield.

January 14, 2000

(1)  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. HAD THESE
CHARGES BEEN REFLECTED, RETURNS WOULD HAVE BEEN LOWER. NEITHER THE MARKET VALUE
OF GNMA SECURITIES NOR THE VALUE OF THE FUND'S SHARES ARE GUARANTEED. PAST
PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. SHARE PRICE, YIELD AND INVESTMENT
RETURN FLUCTUATE SUCH THAT UPON REDEMPTION, FUND SHARES MAY BE WORTH MORE OR
LESS THAN THEIR ORIGINAL COST.

(2)  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 IN THE CASE OF CLASS A SHARES, OR THE NET ASSET VALUE PER SHARE IN THE
CASE OF CLASS B AND C SHARES, AT THE END OF THE PERIOD.

(3)  SOURCE: LEHMAN BROTHERS -- THE LEHMAN BROTHERS GNMA INDEX IS AN UNMANAGED,
TOTAL RETURN PERFORMANCE BENCHMARK FOR THE GNMA MARKET CONSISTING OF 15- AND
30-YEAR FIXED-RATE SECURITIES BACKED BY MORTGAGE POOLS OF THE GOVERNMENT
NATIONAL MORTGAGE ASSOCIATION.

                                                                        The Fund

FUND PERFORMANCE

Comparison of change in value of $10,000 investment in Dreyfus Premier GNMA Fund
Class A shares and the Lehman Brothers GNMA Index

((+))  SOURCE: LEHMAN BROTHERS

PAST PERFORMANCE IS NOT PREDICTIVE OF FUTURE PERFORMANCE.

THE ABOVE GRAPH COMPARES A $10,000 INVESTMENT MADE IN CLASS A SHARES OF DREYFUS
PREMIER GNMA FUND ON 12/31/89 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.



Average Annual Total Returns AS OF 12/31/99

<TABLE>
<CAPTION>


                                         Inception                                                                   From
                                           Date              1 Year            5 Years           10 Years          Inception
- ------------------------------------------------------------------------------------------------------------------------------------

<S>                                       <C>                <C>                <C>                <C>                <C>
CLASS A SHARES
WITH SALES CHARGE (4.5%)                  1/29/87            (3.77)%            6.07%              6.73%              --
WITHOUT SALES CHARGE                      1/29/87             0.75%             7.06%              7.22%              --

CLASS B SHARES
WITH REDEMPTION((+))                      1/15/93            (3.59)%            6.19%               --               5.17%
WITHOUT REDEMPTION                        1/15/93             0.23%             6.51%               --               5.17%

CLASS C SHARES
WITH REDEMPTION((+)(+))                  10/16/95            (0.99)%             --                 --               4.62%
WITHOUT REDEMPTION                       10/16/95            (0.03)%             --                 --               4.62%
</TABLE>


PAST PERFORMANCE IS NOT PREDICTIVE OF FUTURE PERFORMANCE.

((+))  THE MAXIMUM CONTINGENT DEFERRED SALES CHARGE FOR CLASS B SHARES IS 4% AND
IS REDUCED TO 0% AFTER SIX YEARS, AT WHICH TIME CLASS B SHARES CONVERT TO CLASS
A SHARES.

((+)(+))  THE MAXIMUM CONTINGENT DEFERRED SALES CHARGE FOR CLASS C SHARES IS 1%
FOR SHARES REDEEMED WITHIN ONE YEAR OF THE DATE OF PURCHASE.

                                                                       The Fund


STATEMENT OF INVESTMENTS STATEMENT OF INVESTMENTS

December 31, 1999

(CONTINUED)

<TABLE>
<CAPTION>


                                                                                              Principal
BONDS AND NOTES--117.5%                                                                       Amount($)               Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

MORTGAGE-BACKED SECURITIES--111.5%

<S>                                                                                          <C>                      <C>
Government National Mortgage Association I:

   6.5%, 11/15/2007-3/15/2029                                                                19,778,953  (a)          19,100,338

   7.5%, 3/15/2022-12/15/2023                                                                 7,535,139                7,521,674

   8%                                                                                        13,300,000  (b)          13,441,246

   8%, 4/15/2008-12/15/2022                                                                   8,382,769  (a)           8,504,507

   8.5%, 10/15/2017-12/15/2022                                                                2,309,140                2,402,767

   9%, 10/15/2016-12/15/2022                                                                  2,900,344                3,068,612

   9.5%, 11/15/2016-1/15/2025                                                                 2,496,003                2,687,588

   11.5%, 1/15/2013                                                                              35,071                   38,052

                                                                                                                      56,764,784

Government National Mortgage Association I,

  Project Loans:

      6.25%, 11/15/2018                                                                       1,458,920                1,368,642

      6.32%, 10/15/2033                                                                       1,516,741                1,410,569

      6.35%, 6/15/2030-2/15/2034                                                              4,157,831  (a)           3,886,278

      6.375%, 2/15/2028                                                                       1,472,075                1,392,951

      6.45%, 8/15/2033-11/15/2033                                                             4,829,787  (a)           4,610,254

      6.5%, 7/15/2033                                                                           926,066                  886,124

      6.625%, 7/15/2033-11/15/2033                                                            3,299,400                3,153,596

      6.7%, 2/15/2033                                                                         3,722,290  (a)           3,582,704

      7.12%, 2/15/2039                                                                        1,983,337  (a)           1,988,910

                                                                                                                      22,280,028

Government National Mortgage Association II:

   5.5%                                                                                       1,000,000  (b,c)           979,370

   6%                                                                                         9,000,000  (b,c)         8,921,250

   7%, 9/1/2028-10/20/2029                                                                   32,109,520               30,912,668

   7.5%                                                                                       2,700,000  (b)           2,671,299

   8%, 10/20/2026                                                                             6,751,894                6,798,279

   9%, 7/20/2025                                                                              1,816,607                1,886,419

   11%, 12/20/2013-10/20/2015                                                                   616,574                  687,759

                                                                                                                      52,857,044

TOTAL MORTGAGE-BACKED SECURITIES                                                                                     131,901,856

U.S. GOVERNMENTS--6.0%

U.S. Treasury Bonds,

   6.125%, 8/15/2029                                                                          3,250,000                3,098,583

U.S. Treasury Inflation Protection Securities,

   3.755%, 1/15/2008                                                                          4,000,000  (d)           3,968,160

TOTAL U.S. GOVERNMENTS                                                                                                 7,066,743

TOTAL BONDS AND NOTES

   (cost $141,334,078)                                                                                               138,968,599


                                                                                              Principal
SHORT-TERM INVESTMENTS--4.5%                                                                  Amount($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

U.S. TREASURY BILLS:

   4.82%, 1/13/2000                                                                           3,400,000  (a)           3,395,614

   4.408%, 3/30/2000                                                                          1,920,000  (a)           1,896,058

TOTAL SHORT-TERM INVESTMENTS

   (cost $5,290,642)                                                                                                   5,291,672
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS
   (cost $146,624,720)                                                                           122.0%              144,260,271

LIABILITIES, LESS CASH AND RECEIVABLES                                                          (22.0%)             (26,022,317)

NET ASSETS                                                                                       100.0%              118,237,954

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

(B)  PURCHASED ON A FORWARD COMMITMENT BASIS.

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

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

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>



                                                             The Fund


STATEMENT OF ASSETS AND LIABILITIES

December 31, 1999

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           146,624,720    144,260,271

Interest receivable                                                     918,190

Receivable for shares of Beneficial Interest subscribed                  40,013

Receivable for investment securities sold                                13,125

Prepaid expenses                                                         16,007

                                                                    145,247,606
- --------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            74,215

Due to Distributor                                                       39,633

Cash overdraft due to Custodian                                         399,424

Payable for investment securities purchased                          26,226,284

Payable for shares of Beneficial Interest redeemed                      179,603

Accrued expenses                                                         90,493

                                                                     27,009,652
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                      118,237,954
- --------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     125,709,133

Accumulated undistributed investment income--net                         68,506

Accumulated net realized gain (loss) on investments                 (5,175,236)

Accumulated net unrealized appreciation (depreciation)

   on investments--Note 4                                           (2,364,449)

NET ASSETS ($)                                                     118,237,954

NET ASSET VALUE PER SHARE


<TABLE>
<CAPTION>


                                                                                  Class A    Class B     Class C
- --------------------------------------------------------------------------------------------------------------------------

<S>                                                                            <C>         <C>          <C>
Net Assets ($)                                                                 85,157,390  30,833,219   2,247,345

Shares Outstanding                                                              5,984,092  2,164,771      157,834
- --------------------------------------------------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                                       14.23      14.24        14.24

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>




STATEMENT OF OPERATIONS

Year Ended December 31, 1999

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                      8,225,621

EXPENSES:

Management fee--Note 3(a)                                              711,592

Shareholder servicing costs--Note 3(c)                                 459,631

Distribution fees--Note 3(b)                                           192,644

Professional fees                                                       64,759

Registration fees                                                       35,913

Custodian fees--Note 3(c)                                               32,390

Trustees' fees and expenses--Note 3(d)                                  29,910

Prospectus and shareholders' reports                                    20,597

Loan commitment fees--Note 2                                             1,108

Miscellaneous                                                           19,451

TOTAL EXPENSES                                                       1,567,995

INVESTMENT INCOME--NET                                               6,657,626
- --------------------------------------------------------------------------------

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

Net realized gain (loss) on investments                            (1,429,905)

Net unrealized appreciation (depreciation) on investments          (4,444,246)

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS             (5,874,151)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                   783,475

SEE NOTES TO FINANCIAL STATEMENTS.

                                                                        The Fund


STATEMENT OF CHANGES IN NET ASSETS

                                                     Year Ended December 31,
                                             -----------------------------------

                                                     1999              1998
- --------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          6,657,626            7,114,363

Net realized gain (loss) on investments       (1,429,905)            2,797,330

Net unrealized appreciation (depreciation)

   on investments                             (4,444,246)          (1,696,582)

NET INCREASE (DECREASE) IN NET ASSETS

   RESULTING FROM OPERATIONS                     783,475            8,215,111
- --------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A shares                                (4,848,685)          (5,149,217)

Class B shares                                (1,627,726)          (1,926,683)

Class C shares                                  (119,145)             (39,780)

TOTAL DIVIDENDS                               (6,595,556)          (7,115,680)
- --------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold:

Class A shares                                 42,677,342           56,066,526

Class B shares                                 11,917,827           12,810,406

Class C shares                                  2,750,159            2,868,856

Dividends reinvested:

Class A shares                                  3,317,557            3,495,046

Class B shares                                  1,078,382            1,344,579

Class C shares                                     44,695               23,643

Cost of shares redeemed:

Class A shares                               (51,061,402)         (61,029,061)

Class B shares                               (22,391,393)         (11,479,877)

Class C shares                                (2,987,948)            (450,210)

INCREASE (DECREASE) IN NET ASSETS FROM

   BENEFICIAL INTEREST TRANSACTIONS          (14,654,781)           3,649,908

TOTAL INCREASE (DECREASE) IN NET ASSETS      (20,466,862)           4,749,339
- --------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           138,704,816          133,955,477

END OF PERIOD                                 118,237,954          138,704,816

Undistributed investment income--net               68,506                6,436

SEE NOTES TO FINANCIAL STATEMENTS.



                                                      Year Ended December 31,
                                                    ---------------------------

                                                     1999               1998
- --------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS:

CLASS A (A)

Shares sold                                     2,920,168            3,776,757

Shares issued for dividends reinvested            227,949              235,306

Shares redeemed                               (3,502,729)          (4,112,467)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING   (354,612)            (100,404)
- --------------------------------------------------------------------------------

CLASS B (A)

Shares sold                                       814,420              861,589

Shares issued for dividends reinvested             73,962               90,452

Shares redeemed                               (1,527,240)            (772,433)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING   (638,858)              179,608
- --------------------------------------------------------------------------------

CLASS C

Shares sold                                       187,195              193,103

Shares issued for dividends reinvested              3,074                1,589

Shares redeemed                                 (204,314)             (30,238)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING    (14,045)              164,454

(A)  DURING THE PERIOD ENDED DECEMBER 31, 1999, 36,118 CLASS B SHARES
REPRESENTING $518,787 WERE AUTOMATICALLY CONVERTED TO 36,152 CLASS A SHARES.

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


FINANCIAL HIGHLIGHTS

The  following  tables  describe  the  performance  for each share class for the
fiscal  periods  indicated.  All  information  (except  portfolio turnover rate)
reflects  financial results for a single fund share. Total return shows how much
your  investment  in  the  fund  would have increased (or decreased) during each
period,  assuming  you  had  reinvested  all  dividends and distributions. These
figures have been derived from the fund's financial statements.

<TABLE>
<CAPTION>



                                                                                         Year Ended December 31,
                                                                 -------------------------------------------------------------------

CLASS A SHARES                                                   1999           1998           1997          1996          1995
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

<S>                                                             <C>            <C>            <C>            <C>           <C>
Net asset value, beginning of period                            14.89          14.76          14.37          14.66         13.54

Investment Operations:

Investment income--net                                            .78            .81            .85            .88           .91

Net realized and unrealized gain (loss)

   on investments                                                (.67)           .13            .39           (.29)         1.12

Total from Investment Operations                                  .11            .94           1.24            .59          2.03

Distributions:

Dividends from investment income--net                            (.77)          (.81)          (.85)          (.88)         (.91)

Net asset value, end of period                                  14.23          14.89          14.76          14.37         14.66
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%) (A)                                              .75           6.51           8.91           4.25         15.43
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                          1.06           1.05           1.05           1.04          1.03

Ratio of net investment income

   to average net assets                                         5.31           5.44           5.87           6.17          6.45

Portfolio Turnover Rate                                        425.33         283.20         518.62         267.22        349.24
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                          85,157         94,369         95,071        111,267       134,545

(A)  EXCLUSIVE OF SALES CHARGE.

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>
<TABLE>
<CAPTION>




                                                                                        Year Ended December 31,
                                                                 -------------------------------------------------------------------

CLASS B SHARES                                                   1999          1998           1997          1996          1995
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

<S>                                                             <C>           <C>            <C>            <C>           <C>
Net asset value, beginning of period                            14.90         14.78          14.38          14.67         13.55

Investment Operations:

Investment income--net                                            .70           .73            .78            .81           .84

Net realized and unrealized gain (loss)

   on investments                                                (.67)          .12            .40           (.29)         1.12

Total from Investment Operations                                  .03           .85           1.18            .52          1.96

Distributions:

Dividends from investment income--net                            (.69)         (.73)          (.78)          (.81)         (.84)

Net asset value, end of period                                  14.24         14.90          14.78          14.38         14.67
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%) (A)                                              .23          5.90           8.43           3.71         14.83
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                          1.57          1.56           1.55           1.55          1.55

Ratio of net investment income

   to average net assets                                         4.76          4.93           5.36           5.65          5.89

Portfolio Turnover Rate                                        425.33        283.20         518.62         267.22        349.24
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                          30,833        41,775         38,775         39,833        41,934

(A)  EXCLUSIVE OF SALES CHARGE.

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>


                                                                        The Fund


FINANCIAL HIGHLIGHTS (CONTINUED)

<TABLE>
<CAPTION>


                                                                                         Year Ended December 31,
                                                                 -------------------------------------------------------------------

CLASS C SHARES                                                   1999          1998            1997          1996        1995(a)
- ------------------------------------------------------------------------------------------------------------------------------------

PER SHARE DATA ($):

<S>                                                             <C>           <C>             <C>            <C>           <C>
Net asset value, beginning of period                            14.90         14.77           14.38          14.67         14.48

Investment Operations:

Investment income--net                                            .66           .68             .75            .77           .16

Net realized and unrealized gain (loss)

   on investments                                                (.66)          .13             .39           (.29)          .19

Total from Investment Operations                                    -           .81            1.14            .48           .35

Distributions:

Dividends from investment income--net                           (.66)          (.68)           (.75)          (.77)         (.16)

Net asset value, end of period                                  14.24         14.90           14.77          14.38         14.67
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%) (B)                                             (.03)         5.62            8.13           3.44         11.47(c)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses to average net assets                          1.85          1.80            1.80           1.79          1.79(c)

Ratio of net investment income

   to average net assets                                         4.52          4.40            5.11           5.42          5.25(c)

Portfolio Turnover Rate                                        425.33        283.20          518.62         267.22        349.24(d)
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ X 1,000)                           2,247         2,561             110             17             1

(A) FROM OCTOBER 16, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO DECEMBER 31, 1995.

(B) EXCLUSIVE OF SALES CHARGE.

(C) ANNUALIZED.

(D) NOT ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.

</TABLE>




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"), which is a wholly-owned subsidiary
of Mellon Financial Corporation.

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
                                                                        The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

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  receives  net  earnings  credits  based on available cash
balances left on deposit.

(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, 1999. If not
applied, the carryover expires in fiscal 2002.

NOTE 2--Bank Line of Credit:

The  fund  participates  with  other  Dreyfus-managed  funds  in  a $500 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, 1999, 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
$948 during the period ended December 31, 1999, from commissions earned on sales
of the fund's shares.

(b)  Under  the  Distribution  Plan  (the "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, 1999, Class B and
Class  C shares were charged $172,667 and $19,977, respectively, pursuant to the
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, 1999, Class A, Class B and Class C
shares  were charged $230,459, $86,333 and $6,659, 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
                                                                       The  Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

fund.  During  the period ended December 31, 1999, the fund was charged $100,874
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, 1999, the fund was
charged $32,390 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.

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, 1999, amounted to $599,605,946 and $611,871,802, respectively.

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

At December 31, 1999, accumulated net unrealized depreciation on investments was
$2,364,449,  consisting of $378,328 gross unrealized appreciation and $2,742,777
gross unrealized depreciation.

At  December  31,  1999, the cost of investments for Federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).


INDEPENDENT AUDITORS REPORT

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,
1999,  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 auditing standards generally accepted
in the United States. 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,   1999  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, 1999, 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 accounting principles generally accepted in the United
States.


New York, New York

February 14, 2000

                                                             The Fund


                                                           For More Information

                        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

                        Distributor

                        Premier Mutual Fund Services, Inc.

                        60 State Street



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

12/31/87                 10,000                 9,552
12/31/88                 10,880                10,790
12/31/89                 12,587                12,140
12/31/90                 13,918                13,423
12/31/91                 16,151                15,494
12/31/92                 17,348                16,501
12/31/93                 18,489                17,854
12/31/94                 18,211                17,335
12/31/95                 21,317                20,009
12/31/96                 22,496                20,859
12/31/97                 24,640                22,718


*Source: Lehman Brothers




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