PREMIER STATE MUNICIPAL BOND FUND
N-30D, 1995-06-30
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Dear Shareholder:
    For much of your Series' most recent fiscal year, which ended on April
30, 1995, the fixed income markets experienced a measure of volatility not
seen in quite some time. Several factors contributed to this vacillation in
market psychology. Throughout the period, investors were presented with a
wealth of conflicting data covering such indicators of economic activity as
job creation, capacity utilization, retail consumption and business
investment. At times this information seemed to indicate a slowing in the
rate of the domestic economy's expansion, giving rise to a sense of an
abatement in the underlying rate of inflation, causing bond prices to rise
and yields to decline. At other points, however, investors sensed a
surprising resilience in the nation's rate of economic growth for which few
were prepared.
    As this perception took hold, investors seemed to question the adequacy
of the Federal Reserve Board's monetary policy and the vigilance of its
anti-inflationary stance. In an effort to engineer an economic soft landing,
the Fed moved to increase the Federal funds rate and the discount rate on
several occasions. At times, investors perceived these efforts as pallid in
comparison to the economy's strength and insufficient in the face of a rising
tide of inflation.
    As yields rose during those periods of uncertainty, price swings were
further exacerbated by capital flows from longer- to shorter-dated maturities
as investors repositioned themselves forward on the yield curve. Juxtaposed
against this were events which further clouded the outlook for fixed income
investments. The Mexican debt crises, historic reevaluations of traditional
currency relationships, ongoing debate in Washington regarding the nation's
fiscal policies amidst a dramatically shifting political tide, an escalation
of tensions amongst global trading partners and even the tragic events in
Oklahoma City all combined to further affect investors' perceptions of the
future direction of interest rates.
    Throughout this period, municipal securities in general and Michigan
municipal bonds in particular were hard pressed to escape the volatility
witnessed by the fixed income markets. Ultimately, tax exempt bonds were
supported by strong demand and limited supply which enabled municipals to
modestly outperform their taxable counterparts. While the rise in individual
tax rates has generated a significant amount of demand via direct purchase
and mutual fund participation, issuance of municipal bonds has fallen
dramatically. Through the end of April 1995, new issue volume has fallen
nationally by 50% when compared to the prior year. In the instance of
offerings exempt from Michigan taxes, a decline of more than 60% was
witnessed.
    A comparison of the movements of thirty-year U.S. Treasury yields and
municipal yields as represented by the Bond Buyer 25 Revenue Bond Index
illustrates this relative outperformance. At the start of the year long-term
Treasuries stood at 7.33%, while the Revenue Index yielded 6.42%. As market
sentiment deteriorated through November, Treasury yields rose to a high of
8.17% and the Revenue Index peaked at 7.37%. With the ensuing reemergence of
a more stable environment for bonds through the close of your Series' fiscal
year, Government yields declined from their peak to end the period unchanged
at 7.33%, while municipal yields declined an additional 13 basis points
(0.13%) to close the period at 6.29%.
    In managing your Series' assets through this turbulent environment, our
strategy was characterized by a decidedly conservative posture. Two themes
were consistent through the entire fiscal year. First, as a result of the
market's technical foundation, traditional spread relationships between the
yields of higher- and lower-rated issuers tended to become more compressed
than fundamental analysis would normally warrant; therefore, our investment
choices were primarily focused on higher-rated issues. With this measure, the
Series sacrificed a small amount of income in order to substantially reduce
volatility.  Second, as the market's volatility caused investors to
reevaluate their exposure to long-term bonds, our
strategy emphasized maintaining adequate levels of portfolio liquidity at all
times. This prevented our having to liquidate securities in the portfolio at
an inopportune time.
    With these two themes guiding our activity, we attempted to adjust the
Series' structure to capitalize on the broader movements of the markets as
the year progressed. During those times when prices were buoyed by more
favorable developments, we tried to increase the Series' responsiveness by
purchasing issues with longer durations and greater potential for price
appreciation. As perceptions became more mixed, our attention shifted to
those securities with shorter durations, lesser degrees of principal
volatility, and higher profiles of tax exempt income. In general, our
conservative approach caused your Series to perform relatively well as
interest rates rose while restraining performance as interest rates fell. Over
the course of the entire year our investment choices enabled the Series to
generate tax-free income dividends totaling approximately $.849 per share for
Class A shareholders, representing a distribution rate per share of 5.28% based
on the April 30 closing maximum offering price, adjusted for capital gain
distributions. For the Class B shareholders, the Series produced tax-free
income dividends totaling approximately $.769 per share, for a distribution
rate per share of 5.00% based on the April 30 closing net asset value,
adjusted for capital gain distributions. All income dividends paid were
exempt from Federal and Michigan personal income taxes.*
    Moving forward, while it appears that the economy is indeed slowing and
the prospects for a continued decline in long-term interest rates appears
significant, we continue to maintain a conservative posture in the
marketplace. In our view, the question of whether the economy is moving
toward contraction or simply pausing before its next surge of expansion
remains unresolved. In addition, while the current rhetoric emanating from
Washington with respect to the nation's fiscal well-being is encouraging for
fixed income investors, we remain mindful of the distinction between the
politics of popular opinions and legislative disciplines.
    We appreciate your investment in the Premier State Municipal Bond Fund,
Michigan Series, and we want to assure you that we are, at all times, working
in your Series' best interest.
                              Very truly yours,
                             (Signature Logo)
                              Richard J. Moynihan
                              Director, Municipal Portfolio Management
                              The Dreyfus Corporation

May 18, 1995
New York, N.Y.

 *Some income may be subject to the Federal Alternative Minimum Tax (AMT) for
certain shareholders. Capital gains may be subject to Federal, State and
local taxes.

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES          APRIL 30, 1995
COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN PREMIER STATE
MUNICIPAL BOND FUND, MICHIGAN SERIES CLASS A SHARES AND THE LEHMAN BROTHERS
MUNICIPAL BOND INDEX

In Dollars
$19,583
Premier State
Municipal Bond
Fund, Michigan Series (Class A Shares)
$19,125
Lehman Brothers
Municipal Bond
 Index*

*Source: Lehman Brothers
<TABLE>
<CAPTION>

AVERAGE ANNUAL TOTAL RETURNS
                              CLASS A                                                     CLASS B
- ------------------------------------------------------------        -----------------------------------------------------------
                                                                                                             % Return Reflecting
                                                % Return                                                    Applicable Contingent
                                                Reflecting                                      % Return       Deferred Sales
                        % Return Without     Maximum Initial                                    Assuming No       Charge Upon
Periods ended 4/30/95      Sales Charge     Sales Charge (4.5%)     Periods ended 4/30/95       Redemption        Redemption*
                        ------------------  -------------------     ---------------------      ------------         -------
<S>                                <C>             <C>              <C>
1 Year                             6.65%           1.85%            1 Year                       6.01%               3.04%
5 Years                            9.00            8.00             From Inception (1/15/93)     5.98                5.17
From Inception (5/28/87)           9.48            8.85
</TABLE>

Past performance is not predictive of future performance. Share price and
investment return fluctuate and share price may be more or less than original
cost upon redemption.
The above graph compares a $10,000 investment made in Class A shares of
Premier State Municipal Bond Fund, Michigan Series on 5/28/87 (Inception
Date) to a $10,000 investment made in the Lehman Brothers Municipal Bond
Index on that date. For comparative purposes the value of the Index on
5/31/87 is used as the beginning value on 5/28/87. All dividends and capital
gain distributions are reinvested. Performance for Class B shares will differ
from the results shown above due to difference in charges and expenses
charged to that class.
The Series invests primarily in Michigan municipal securities 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 Series, the Lehman Brothers Municipal Bond Index is an unmanaged
total return performance benchmark for the long-term, investment grade,
geographically unrestricted tax exempt bond market, calculated by using
municipal bonds selected to be representative of the market. The Index does
not take into account charges, fees and other expenses. Also, unlike the Fund
which principally limits investments to Michigan municipal obligations, the
Index is not state-specific. Further information relating to Series
performance, including expense reimbursements, if applicable, is contained in
the Condensed Financial Information section of the Prospectus and elsewhere
in this report.
*Maximum contingent deferred sales charge for Class B shares is 3% and is
reduced to 0% after five years.
<TABLE>
<CAPTION>


PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF INVESTMENTS                                                                                        APRIL 30, 1995
                                                                                                  PRINCIPAL
LONG-TERM MUNICIPAL INVESTMENTS-98.4%                                                              AMOUNT           VALUE
                                                                                               --------------    --------------
<S>                                                                                              <C>              <C>
MICHIGAN-96.7%
Allendale Public School District 5.875%, 5/1/2014 (Insured; MBIA)...........                     $    1,000,000   $    977,070
Breitung Township School District, Refunding 5.50%, 5/1/2012 (Insured; AMBAC)                         2,500,000      2,380,650
Brighton Area School District, Refunding:
    Zero Coupon, 5/1/2014 (Insured; AMBAC)..................................                          8,000,000      2,492,480
    6%, 5/1/2020 (Insured; AMBAC)...........................................                          1,750,000      1,718,868
Capital Region Airport Authority, Airport Revenue
    6.70%, 7/1/2021 (Insured; MBIA).........................................                          2,500,000      2,596,800
Central Michigan University, Refunding 6%, 10/1/2013 (Insured; MBIA)........                          1,965,000      1,949,752
Chippewa Valley Schools 7%, 5/1/2010 (Prerefunded 5/1/2001) (a).............                          1,275,000      1,420,656
Detroit:
    (Development Area No. 1) 7.60%, 7/1/2010................................                          4,150,000      4,385,346
    Sewer Disposal System Revenue:
      7.125%, 7/1/2019 (Prerefunded 7/1/1999) (a)...........................                          2,735,000      2,998,216
      5.70%, 7/1/2023 (Insured; FGIC).......................................                         10,000,000      9,464,100
    (Unlimited Tax) 6.35%, 4/1/2014.........................................                          3,410,000      3,275,748
    Water Supply Systems Revenue, Refunding
      8.217%, 7/1/2022 (Insured; FGIC) (b)..................................                          1,500,000      1,541,250
Detroit School District (School Building and Site)
    (Wayne County) 6.25%, 5/1/2012..........................................                          1,750,000      1,757,630
East Lansing Building Authority, Refunding 6.90%, 10/1/2011.................                          1,375,000      1,445,194
Flint Michigan Refunding Tax Increment Finance Authority 5.75%, 6/1/2002....                          3,000,000      3,044,100
Garden City Building Authority, Refunding 5.75%, 11/1/2017 (Insured; AMBAC).                          1,120,000      1,074,987
Grand Ledge Public School District 6.60%, 5/1/2024 (Insured; MBIA)..........                          2,750,000      2,879,250
Grand Rapids Community College 5.90%, 5/1/2022 (Insured; MBIA)..............                          4,650,000      4,533,564
Grand Rapids Housing Finance Authority, Multi-Family Revenue, Refunding
    7.625%, 9/1/2023 (Collateralized; FNMA).................................                          1,000,000      1,064,750
Greater Detroit Resource Recovery Authority, Revenue 9.25%, 12/13/2008......                          1,250,000      1,314,675
Huron Valley School District, Refunding 6.125%, 5/1/2020 (Insured; FGIC)....                          1,735,000      1,703,423
Kent Hospital Finance Authority, Hospital Facility Revenue (Butterworth
Hospital)
    7.25%, 1/15/2012 (Prerefunded 1/15/2000) (a)............................                          1,000,000      1,109,190
Lapeer Economic Development Corp., Ltd. Obligation Revenue
    (Lapeer Health Services Project) 8.625%, 2/1/2020 (Prerefunded 2/1/2000) (a)                      2,000,000      2,334,080
Livonia Public Schools, School District Refunding 5.125%, 5/1/2022 (Insured; FGIC)                    2,000,000      1,737,460
Michigan Building Authority, Revenue:
    6.75%, 10/1/2007 (Insured; AMBAC).......................................                          1,600,000      1,724,096
    6.75%, 10/1/2011........................................................                          2,000,000      2,118,260

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF INVESTMENTS (CONTINUED)                                                                               APRIL 30, 1995
                                                                                                     PRINCIPAL
LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                            AMOUNT           VALUE
                                                                                                 --------------    --------------
MICHIGAN (CONTINUED)

Michigan Higher Education Student Loan Authority, Student Loan Revenue:
    6.875%, 10/1/2007 (Insured; AMBAC)......................................                     $    2,250,000    $ 2,388,532
    6%, 9/1/2008............................................................                          2,000,000      2,004,040
    7.55%, 10/1/2008 (Insured; MBIA)........................................                          1,625,000      1,776,287
Michigan Hospital Finance Authority, HR:
    (Crittenton Hospital) 6.70%, 3/1/2007...................................                          2,250,000      2,341,418
    (Daughters of Charity National Health Systems-Providence Hospital) 7%, 11/1/2021                  2,700,000      2,815,776
    (McLaren Obligation Group) 7.50%, 9/15/2021 (Prerefunded 9/15/2001) (a).                          1,250,000      1,431,150
    (Mercy Mount Clemens Corp.) 6.25%, 5/15/2011............................                          2,000,000      2,009,940
    Refunding:
      (Detroit Medical Center) 8.125%, 8/15/2012............................                            220,000        240,920
      (Genesys Health Systems) 8.125%, 10/1/2021............................                          5,000,000      5,171,550
      (Middle Michigan Obligation Group) 6.625%, 6/1/2010...................                          2,000,000      2,018,260
      (Oakwood Obligation Group) 5.625%, 11/1/2018..........................                          2,500,000      2,305,925
      (Pontiac Osteopathic Hospital) 6%, 2/1/2014...........................                          5,250,000      4,510,170
      (Sisters of Mercy Health Corp.) 6.25%, 2/15/2009 (Insured; FSA).......                          1,065,000      1,084,330
    (Sisters of Mercy Health Corp.) 7.50%, 2/15/2018 (Prerefunded 2/15/2001) (a)                      2,250,000      2,555,077
Michigan Housing Development Authority:
    (Home Improvement Program) 7.65%, 12/1/2012.............................                          2,150,000      2,246,750
    MFHR 8.375%, 7/1/2019 (Insured; FGIC)...................................                          1,550,000      1,658,763
    Rental Housing Revenue:
      6.50%, 4/1/2006.......................................................                          2,000,000      2,039,360
      7.70%, 4/1/2023 (Insured; FSA)........................................                          4,185,000      4,425,596
    SFMR:
      7.55%, 12/1/2014......................................................                            210,000        222,776
      7.50%, 6/1/2015.......................................................                          2,355,000      2,493,757
      8%, 6/1/2018..........................................................                            290,000        306,098
      7.75%, 12/1/2019......................................................                          2,480,000      2,619,178
      6.95%, 12/1/2020......................................................                          1,750,000      1,802,238
Michigan Job Development Authority, PCR
    (Chrysler Corp. Project) 5.70%, 11/1/1999...............................                          1,000,000        999,200
Michigan Municipal Bond Authority, Revenue (State Revolving Fund):
    6.50%, 10/1/2014........................................................                          2,500,000      2,591,675
    6.50%, 10/1/2017........................................................                          3,500,000      3,596,355
Michigan Strategic Fund:
    Ltd. Obligation Revenue:
      (Northeastern Community Mental Health Foundation) 8.25%, 1/1/2009.....                          1,555,000      1,594,264
      Refunding (Ledyard Association Ltd. Partnership Project)
          6.25%, 10/1/2011 (Insured; ITT Lyndon Property Insurance Co.).....                          3,075,000      3,093,665
      (WMX Technologies Inc. Project) 6%, 12/1/2013.........................                          4,000,000      3,848,200
    Solid Waste Disposal Revenue Refunding
      (Genesee Power Station Project) 7.50%, 1/1/2021.......................                         3,000,000       2,932,770

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF INVESTMENTS (CONTINUED)                                                                            APRIL 30, 1995
                                                                                                  PRINCIPAL
LONG-TERM MUNICIPAL INVESTMENTS (CONTINUED)                                                         AMOUNT            VALUE
                                                                                              --------------    --------------
MICHIGAN (CONTINUED)

Monroe County:
    PCR (Detroit Edison Project):
      7.50%, 12/1/2019 (Insured; AMBAC).....................................                     $    4,650,000    $ 5,077,521
      7.875%, 12/1/2019.....................................................                          2,720,000      2,946,250
      7.65%, 9/1/2020 (Insured; FGIC).......................................                          2,250,000      2,470,658
      6.55%, 6/1/2024 (Insured; MBIA).......................................                          1,700,000      1,732,521
    Water Supply Systems (Frenchtown Charter Township Water Treatment
      and Distribution Systems) 6.50%, 5/1/2013.............................                          2,500,000      2,539,100
Monroe County Economic Development Corp., Ltd. Obligation Refunding, Revenue
    (Detroit Edison Co. Project) 6.95%, 9/1/2022 (Insured; FGIC)............                          2,000,000      2,247,700
Northville, Special Assessment (Wayne County) 7.875%, 1/1/2006..............                          1,685,000      1,853,989
Northwestern Michigan College, Community College Improvement Revenue,
Refunding
    7%, 7/1/2011............................................................                          1,800,000      1,885,176
Oakland County Economic Development Corp., Ltd. Obligation Revenue
    (Pontiac Osteopathic Hospital Project) 9.625%, 1/1/2020 (Prerefunded 1/1/2000) (a)                1,680,000      2,023,678
Rockford Public Schools, Refunding (Kent County School Building and Site)
    7.375%, 5/1/2019 (Prerefunded 5/1/2000) (a).............................                          2,000,000      2,225,640
Romulus Community Schools, Capital Appreciation Refunding
    Zero Coupon, 5/1/2019 ..................................................                          2,390,000        539,064
Romulus Economic Development Corp., Ltd. Obligation EDR
    Refunding (Romulus Hir Ltd. Partnership Project)
    7%, 11/1/2015 (Insured; ITT Lyndon Property Insurance Co.)..............                          3,700,000      3,874,529
Royal Oak Michigan Finance Authority, Revenue, Refunding 5.25%, 11/15/2019..                          3,625,000      3,172,890
Saginaw-Midland Municipal Water Supply Corp. 5.25%, 9/1/2016................                          1,000,000        887,230
Wayne Charter County, Airport Revenue (Detroit Metropolitan Wayne County
Airport):
    5.25%, 12/1/2013 (Insured; MBIA)........................................                          4,000,000      3,641,320
    5.25%, 12/1/2021 (Insured; MBIA)........................................                          1,000,000        876,920
West Ottawa Public School District, Refunding 6%, 5/1/2020 (Insured; FGIC)..                          3,115,000      3,059,584
Western Michigan University, Revenue 6.125%, 11/15/2022 (Insured; FGIC).....                          6,970,000      6,837,918
White Cloud Public Schools, Refunding 5.50%, 5/1/2020.......................                          2,000,000      1,844,620
Wyoming Public Schools, Refunding 5.90%, 5/1/2022...........................                          1,000,000        962,170
U.S. RELATED-1.7%
Puerto Rico Housing Finance Corp., MFMR
    7.50%, 4/1/2022 (LOC; Government Development Bank) (c)..................                          2,510,000      2,636,579
Virgin Islands Port Authority, Airport Revenue (Cyril E. King Airport
Project)
    8.10%, 10/1/2005........................................................                            500,000        543,935
                                                                                                                  -------------
TOTAL LONG-TERM MUNICIPAL INVESTMENTS
    (cost $179,583,731).....................................................                                      $186,044,607
                                                                                                                  ============

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF INVESTMENTS (CONTINUED)                                                                            APRIL 30, 1995
                                                                                                  PRINCIPAL
SHORT-TERM MUNICIPAL INVESTMENTS-1.6%                                                              AMOUNT            VALUE
                                                                                              --------------    --------------

MICHIGAN:
Michigan Housing Development Authority, Rental Housing Revenue VRDN
    4.65% (LOC; Credit Suisse) (c,d)................................ ...                         $    2,000,000   $  2,000,000
Michigan Strategic Fund, LTD. Obligation Revenue VRDN
    (Coil Center Project) 5.37% (LOC; Tokai Bank) (c,d).....................                          1,000,000      1,000,000
                                                                                                                   -----------
TOTAL SHORT-TERM MUNICIPAL INVESTMENTS
    (cost $3,000,000).......................................................                                       $ 3,000,000
                                                                                                                  ============
TOTAL INVESTMENTS-100.0%
    (cost $182,583,731).....................................................                                      $189,044,607
                                                                                                                  ============
</TABLE>

<TABLE>
<CAPTION>

SUMMARY OF ABBREVIATIONS
<S>           <C>                                                <S>     <C>
AMBAC         American Municipal Bond Assurance Corporation      MBIA    Municipal Bond Investors Assurance
EDR           Economic Development Revenue                                   Insurance Corporation
FGIC          Financial Guaranty Insurance Company               MFHR    Multi-Family Housing Revenue
FNMA          Federal National Mortgage Association              MFMR    Multi-Family Mortgage Revenue
FSA           Financial Security Assurance                       PCR      Pollution Control Revenue
HR            Hospital Revenue                                   SFMR    Single Family Mortage Revenue
LOC           Letter of Credit                                   VRDN    Variable Rate Demand Notes
</TABLE>

<TABLE>
<CAPTION>


SUMMARY OF COMBINED RATINGS (UNAUDITED)
FITCH(E)               OR          MOODY'S             OR         STANDARD & POOR'S        PERCENTAGE OF VALUE
- -------                            --------                       ------------------        ------------------
<S>                                <C>                            <S>                              <C>
AAA                                Aaa                            AAA                               40.2%
AAA                                Aa                             AA                                23.1
A                                  A                              A                                 16.7
BBB                                Baa                            BBB                               13.2
F1                                 MIG1                           SP1                                1.6
Not Rated(f)                       Not Rated(f)                   Not Rated(f)                       5.2
                                                                                                   ------
                                                                                                   100.0%
                                                                                                   ======
</TABLE>
NOTES TO STATEMENT OF INVESTMENTS:
    (a)  Bonds which are prerefunded are collateralized by U.S. Government
    securities which are held in escrow and are used to pay principal and
    interest on the municipal issue and to retire the bonds at the earliest
    refunding date.
    (b)  Inverse floater security - the interest rate is subject to change
    periodically.
    (c)  Secured by letters of credit.
    (d)  Security payable on demand. The interest rate, which is subject to
    change, is based upon bank prime rates or an index of market interest
    rates.
    (e)  Fitch currently provides creditworthiness information for a limited
    number of investments.
    (f)  Securities which, while not rated by Fitch, Moody's or Standard &
    Poor's, have been determined by the Manager to be of comparable quality
    to those rated securities in which the Fund may invest.



See notes to financial statements.


<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF ASSETS AND LIABILITIES                                                                                APRIL 30, 1995
<S>                                                                                                   <C>            <C>
ASSETS:
    Investments in securities, at value
      (cost $182,583,731)-see statement.....................................                                         $189,044,607
    Cash....................................................................                                              133,417
    Interest receivable.....................................................                                            3,806,150
    Receivable for shares of Beneficial Interest subscribed.................                                              267,533
    Prepaid expenses........................................................                                                7,684
                                                                                                                      -----------
                                                                                                                      193,259,391
LIABILITIES:
    Due to The Dreyfus Corporation..........................................                          $88,043
    Due to Distributor......................................................                           46,822
    Payable for shares of Beneficial Interest redeemed......................                            9,261
    Accrued expenses........................................................                           40,564             184,690
                                                                                                      -------        ------------

NET ASSETS  ................................................................                                         $193,074,701
                                                                                                                     ============
    REPRESENTED BY:
    Paid-in capital.........................................................                                         $185,926,409
    Accumulated undistributed net realized gain on investments..............                                              687,416
    Accumulated net unrealized appreciation on investments-Note 3...........                                            6,460,876
                                                                                                                     ------------
NET ASSETS at value.........................................................                                         $193,074,701
                                                                                                                     ============
Shares of Beneficial Interest outstanding:
    Class A Shares
      (unlimited number of $.001 par value shares authorized)...............                                           11,667,982
                                                                                                                     ============
    Class B Shares
      (unlimited number of $.001 par value shares authorized)...............                                            1,088,416
                                                                                                                     ============
NET ASSET VALUE per share:
    Class A Shares
      ($176,603,546 / 11,667,982 shares)....................................                                               $15.14
                                                                                                                           ======
      ($16,471,155 / 1,088,416 shares)......................................                                               $15.13
                                                                                                                           ======

See notes to financial statements.
</TABLE>


<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF OPERATIONS                                                                                            APRIL 30,1995
<S>                                                                                                 <C>              <C>
INVESTMENT INCOME:
    INTEREST INCOME.........................................................                                         $12,845,609
    EXPENSES:
      Management fee-Note 2(a)..............................................                        $1,074,186
      Shareholder servicing costs-Note 2(c).................................                           646,502
      Distribution fees (Class B shares)-Note 2(b)..........................                            76,730
      Professional fees.....................................................                            25,821
      Custodian fees........................................................                            21,807
      Prospectus and shareholders' reports..................................                            18,133
      Registration fees.....................................................                             4,495
      Trustees' fees and expenses-Note 2(d).................................                             1,733
      Miscellaneous.........................................................                            25,021
                                                                                                  ------------
                                                                                                     1,894,428
      Less-reduction in management fee due to
          undertakings-Note 2(a)............................................                            18,112
                                                                                                  ------------
            TOTAL EXPENSES..................................................                                           1,876,316
                                                                                                                     -----------
            INVESTMENT INCOME-NET...........................................                                          10,969,293
REALIZED AND UNREALIZED GAIN ON INVESTMENTS:
    Net realized gain on investments-Note 3.................................                        $1,828,821
    Net unrealized (depreciation) on investments............................                          (818,115)
                                                                                                  ------------
            NET REALIZED AND UNREALIZED GAIN ON INVESTMENTS.................                                           1,010,706
                                                                                                                     -----------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS........................                                         $11,979,999
                                                                                                                     ===========

See notes to financial statements.

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
STATEMENT OF CHANGES IN NET ASSETS
                                                                                                        YEAR ENDED APRIL 30,
                                                                                                 --------------------------------
                                                                                                       1994             1995
                                                                                                --------------    --------------
OPERATIONS:
    Investment income-net...................................................                     $  11,313,866      $ 10,969,293
    Net realized gain on investments........................................                         2,315,880         1,828,821
    Net unrealized (depreciation) on investments for the year...............                        (6,895,275)         (818,115)
                                                                                                 --------------    --------------
          NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS..............                         6,734,471        11,979,999
                                                                                                --------------     --------------
DIVIDENDS TO SHAREHOLDERS FROM:
    Investment income-net:
      Class A shares........................................................                       (10,845,933)      (10,186,162)
      Class B shares........................................................                          (467,933)         (783,131)
    Net realized gain on investments:
      Class A shares........................................................                          (956,415)       (2,793,660)
      Class B shares........................................................                           (54,414)         (239,175)
                                                                                                 --------------    --------------
          TOTAL DIVIDENDS...................................................                       (12,324,695)      (14,002,128)
                                                                                                 --------------    --------------
BENEFICIAL INTEREST TRANSACTIONS:
    Net proceeds from shares sold:
      Class A shares........................................................                        24,628,252        10,587,097
      Class B shares........................................................                        11,297,694         4,942,392
    Dividends reinvested:
      Class A shares........................................................                         6,427,971         7,582,697
      Class B shares........................................................                           347,542           656,238
    Cost of shares redeemed:
      Class A shares........................................................                       (22,803,586)      (27,084,772)
      Class B shares........................................................                          (760,491)       (2,852,874)
                                                                                                 --------------    --------------
          INCREASE (DECREASE) IN NET ASSETS FROM
            BENEFICIAL INTEREST TRANSACTIONS................................                        19,137,382        (6,169,222)
                                                                                                 --------------    --------------
            TOTAL INCREASE (DECREASE) IN NET ASSETS.........................                        13,547,158        (8,191,351)
NET ASSETS:
    Beginning of year.......................................................                       187,718,894       201,266,052
                                                                                                --------------     --------------
    End of year.............................................................                      $201,266,052      $193,074,701
                                                                                                 ==============    =============

</TABLE>

<TABLE>
<CAPTION>

                                                                                                  SHARES
                                                             ------------------------------------------------------------------
                                                                             CLASS A                             CLASS B
                                                             --------------------------------         -------------------------
                                                                     YEAR ENDED APRIL 30,             YEAR ENDED APRIL 30,
                                                             --------------------------------         -------------------------
                                                                   1994              1995             1994             1995
                                                                 ----------      -----------          ---------     ----------
<S>                                                               <C>               <C>                 <C>             <C>
CAPITAL SHARE TRANSACTIONS:
    Shares sold...........................                        1,535,330         701,669             706,062         327,697
    Shares issued for dividends reinvested.                         401,916         511,163              21,767          44,292
    Shares redeemed........................                      (1,430,077)     (1,819,806)            (48,928)       (191,401)
                                                                 -----------     -----------         -----------      ----------
           NET INCREASE (DECREASE) IN
            SHARES OUTSTANDING.............                         507,169        (606,974)            678,901         180,588
                                                                 ==========      ===========         ==========       =========

See notes to financial statements.
</TABLE>

<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
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 year indicated. This
information has been derived from the Series' financial statements.

                                                               CLASS A SHARES                             CLASS B SHARES
                                             ---------------------------------------------------      ------------------------
                                                                     YEAR ENDED APRIL 30,                YEAR ENDED APRIL 30,
                                             ---------------------------------------------------      ------------------------
PER SHARE DATA:                             1991        1992         1993        1994       1995     1993(1)     1994      1995
                                            -------    ------       ------     -------    -------    ------    -------   -------
<S>                                         <C>       <C>           <C>        <C>        <C>       <C>         <C>      <C>
Net asset value, beginning of year          $13.80    $14.34        $14.80     $15.65     $15.27    $15.20      $15.64   $15.27
                                            -------    ------       ------     -------    -------   -------    -------   -------
    INVESTMENT OPERATIONS:
    Investment income--net...........         1.01       .95           .92        .89        .85       .24         .80      .77
    Net realized and unrealized gain (loss)

      on investments.................          .54       .46           .98       (.30)       .11       .44        (.29)     .10
                                            -------    ------       ------     -------    -------   -------    -------   -------
TOTAL FROM INVESTMENT OPERATIONS              1.55      1.41          1.90        .59        .96       .68         .51      .87
                                            -------    ------       ------     -------    -------   -------    -------   -------
    DISTRIBUTIONS:
    Dividends from investment income--net    (1.01)     (.95)         (.92)      (.89)      (.85)     (.24)       (.80)    (.77)
    Dividends from net realized gain
      on investments.................          --        --           (.13)      (.08)      (.24)       --        (.08)    (.24)
                                            -------    ------       ------     -------    -------   -------    -------   -------
      TOTAL DISTRIBUTIONS...........         (1.01)     (.95)        (1.05)      (.97)     (1.09)     (.24)       (.88)   (1.01)
                                            -------    ------       ------     -------    -------   -------    -------   -------
    Net asset value, end of year.....       $14.34    $14.80        $15.65     $15.27     $15.14    $15.64      $15.27   $15.13
                                            ======    =======       =======    ======      ======   ======      ======   ======
TOTAL INVESTMENT RETURN (2)........          11.61%    10.12%        13.25%      3.65%      6.65%    15.50%(3)    3.11%    6.01%
RATIOS/SUPPLEMENTAL DATA:
    Ratio of expenses to average net assets    .20%      .53%          .69%       .81%       .92%     1.18%(3)    1.38%    1.44%
    Ratio of net investment income to
      average net assets...........           7.07%     6.47%         6.01%      5.56%      5.66%     4.85%(3)    4.88%    5.10%
    Decrease reflected in above expense
      ratios due to undertakings by
      the Manager....................          .79%      .42%          .25%       .11%       .01%      .14%(3)     .09%     .01%
    Portfolio Turnover Rate..........        27.31%    21.42%        14.99%     19.96%     48.30%    14.99%      19.96%   48.30%
    Net Assets, end of year
      (000's Omitted)......                $111,696  $145,159      $184,138   $187,405    $176,604   $3,581     $13,861  $16,471

___________________________
(1)    From January 15, 1993 (commencement of initial offering) to April 30, 1993.
(2)    Exclusive of sales load.
(3)    Annualized.


See notes to financial statements.
</TABLE>

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
NOTES TO FINANCIAL STATEMENTS
NOTE 1-SIGNIFICANT ACCOUNTING POLICIES:
    Premier State Municipal Bond Fund (the "Fund") is registered under the
Investment Company Act of 1940 ("Act") as a non-diversified open-end
management investment company and operates as a series company currently
offering fifteen series including the Michigan Series (the "Series"). Dreyfus
Service Corporation, until August 24, 1994, acted as the distributor of the
Fund's shares. Dreyfus Service Corporation is a wholly-owned subsidiary of
The Dreyfus Corporation ("Manager"). Effective August 24, 1994, the Manager
became a direct subsidiary of Mellon Bank, N.A.
    On August 24, 1994, Premier Mutual Fund Services, Inc. (the
"Distributor") was engaged as the Fund's distributor. The Distributor,
located at One Exchange Place, Boston, Massachusetts 02109, is a wholly-owned
subsidiary of FDI Distribution Services, Inc., a provider of mutual fund
administration services, which in turn is a wholly-owned subsidiary of FDI
Holdings, Inc., the parent company of which is Boston Institutional Group,
Inc.
    The Fund accounts separately for the assets, liabilities and operations
of each series. Expenses directly attributable to each series are charged to
that series' operations; expenses which are applicable to all series are
allocated among them on a pro rata basis.
    The Series offers both Class A and Class B shares. Class A shares are
subject to a sales charge imposed at the time of purchase and Class B shares
are subject to a contingent deferred sales charge imposed at the time of
redemption on redemptions made within five years of purchase. Other
differences between the two Classes include the services offered to and the
expenses borne by each Class and certain voting rights.
    (A) PORTFOLIO VALUATION: The Series' investments (excluding options and
financial futures on municipal and U.S. treasury securities) 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
municipal securities of comparable quality, coupon, maturity and type;
indications as to values from dealers; and general market conditions. Options
and financial futures on municipal and U.S. treasury securities are valued at
the last sales price on the securities exchange on which such securities are
primarily traded or at the last sales price on the national securities market
on each business day. Investments not listed on an exchange or the national
securities market, or securities for which there were no transactions, are
valued at the average of the most recent bid and asked prices. Bid price is
used when no asked price is available.
    (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, adjusted for amortization of premiums and original issue discount on
investments, is earned from settlement date and recognized on the accrual
basis. Securities purchased or sold on a when-issued or delayed-delivery
basis may be settled a month or more after the trade date.

PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
NOTES TO FINANCIAL STATEMENTS (CONTINUED)


    The Series follows an investment policy of investing primarily in
municipal obligations of one state. Economic changes affecting the state and
certain of its public bodies and municipalities may affect the ability of
issuers within the state to pay interest on, or repay principal of, municipal
obligations held by the Series.
    (C) DIVIDENDS TO SHAREHOLDERS: It is the policy of the Series 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 Series may make distributions on a more frequent basis to
comply with the distribution requirements of the Internal Revenue Code. To
the extent that net realized capital gain can be offset by capital loss
carryovers, if any, it is the policy of the Series not to distribute such
gain.
    (D) FEDERAL INCOME TAXES: It is the policy of the Series to continue to
qualify as a regulated investment company, which can distribute tax exempt
dividends, by complying with the applicable provisions of the Internal
Revenue Code, and to make distributions of income and net realized capital
gain sufficient to relieve it from substantially all Federal income and
excise taxes.
NOTE 2-MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:
    (A) Pursuant to a management agreement ("Agreement") with the Manager,
the management fee is computed at the annual rate of .55 of 1% of the average
daily value of the Series' net assets and is payable monthly. The Agreement
provides for an expense reimbursement from the Manager should the Series'
aggregate expenses, exclusive of taxes, brokerage, interest on borrowings and
extraordinary expenses, exceed the expense limitation of any state having
jurisdiction over the Series for any full fiscal year. However, the Manager
had undertaken from May 1, 1994 through June 30, 1994 to waive receipt of the
management fee payable to it by the Series in excess of an annual rate of .50
of 1% (excluding certain expenses as described above) of the Series' average
daily net assets and thereafter, had undertaken from July 1, 1994 through
July 7, 1994 to reduce the management fee paid by the Series, to the extent
that the Series' aggregate expenses (excluding certain expenses as described
above) exceeded specified annual percentages of the Series' average daily net
assets. The reduction in management fee, pursuant to the undertakings,
amounted to $18,112 for the year ended April 30, 1995.
    Dreyfus Service Corporation retained $7,854 during the year ended April
30, 1995 from commissions earned on sales of the Series' Class A shares.
    Prior to August 24, 1994, Dreyfus Service Corporation retained $17,687
from contingent deferred sales charges imposed upon redemptions of the
Series' Class B shares.
    (B) On August 3, 1994, the Series' shareholders approved a revised
Distribution Plan with respect to Class B shares only (the "Class B
Distribution Plan") pursuant to Rule 12b-1 under the Act. Pursuant to the
Class B Distribution Plan, effective August 24, 1994, the Fund pays the
Distributor for distributing the Series' Class B shares at an annual rate of
 .50 of 1% of the value of the average daily net assets of Class B.
    Prior to August 24, 1994, the Distribution Plan ("prior Class B
Distribution Plan") provided that the Series pay Dreyfus Service Corporation
at an annual rate of .50 of 1% of the value of the Series' Class B
shares average daily net assets, for the costs and expenses in connection
with advertising, marketing and
PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
NOTES TO FINANCIAL STATEMENTS (CONTINUED)
distributing the Series' Class B shares.
Dreyfus Service Corporation made payments to one or more Service Agents based
on the value of the Series' Class B shares owned by clients of the Service
Agent.
    During the year ended April 30 1995, $52,967 was charged to the Series
pursuant to the Class B Distribution Plan and $23,763 was charged to the
Series pursuant to the prior Class B Distribution Plan.
    (C) Under the Shareholder Services Plan, the Series pays the Distributor,
at an annual rate of .25 of 1% of the value of the average daily net assets
of Class A and Class B shares for servicing shareholder accounts. The
services provided may include personal services relating to shareholder
accounts, such as answering shareholder inquiries regarding the Series and
providing reports and other information, and services related to the
maintenance of shareholder accounts. The Distributor may make payments to
Service Agents in respect of these services. The Distributor determines the
amounts to be paid to Service Agents. From May 1, 1994 through August 23,
1994, $147,668 and $11,774 were charged to Class A and Class B shares,
respectively, by Dreyfus Service Corporation. From August 24, 1994 through
April 30, 1995, $302,233 and $26,591 were charged to Class A and Class B
shares, respectively, by the Distributor pursuant to the Shareholder Services
Plan.
    (D) Prior to August 24, 1994, certain officers and trustees of the Fund
were "affiliated persons," as defined in the Act, of the Manager and/or
Dreyfus Service Corporation. Each trustee who is not an "affiliated person"
receives from the Fund an annual fee of $2,500 and an attendance fee of $250
per meeting. The Chairman of the Board receives an additional 25% of such
compensation.
NOTE 3-SECURITIES TRANSACTIONS:
    The aggregate amount of purchases and sales of investment securities
amounted to $164,401,933 and $173,322,699, respectively, for the year ended
April 30, 1995, and consisted entirely of long-term and short-term municipal
investments.
    At April 30, 1995, accumulated net unrealized appreciation on investments
was $6,460,876, consisting of $8,177,217 gross unrealized appreciation and
$1,716,341 gross unrealized depreciation.
    At April 30, 1995, 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).





PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS
SHAREHOLDERS AND BOARD OF TRUSTEES
PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
    We have audited the accompanying statement of assets and liabilities,
including the statement of investments, of Premier State Municipal Bond Fund,
Michigan Series (one of the Series constituting the Premier State Municipal
Bond Fund) as of April 30, 1995, 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. Our procedures included confirmation of
securities owned as of April 30, 1995 by correspondence with the custodian.
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 Premier State Municipal Bond Fund, Michigan Series at April 30,
1995, 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.

                              (Ernst & Young LLP Signature Logo)
New York, New York
June 6, 1995

IMPORTANT TAX INFORMATION (UNAUDITED)
    In accordance with Federal tax law, the Series hereby makes the following
designations regarding its fiscal year ended April 30, 1995:
    -all the dividends paid from investment income--net are "exempt-interest
dividends" (not subject to regular Federal, and for individuals who are
Michigan residents, Michigan personal income taxes), and
    -the Series hereby designates $.2236 per share as a long-term capital gain
distribution of the $.2379 per share paid on December 14, 1994.
    As required by Federal tax law rules, shareholders will receive
notification of their portion of the Series' taxable ordinary dividends (if
any) and capital gain distributions (if any) paid for the 1995 calendar year
on Form 1099-DIV which will be mailed by January 31, 1996.

PREMIER STATE MUNICIPAL
BOND FUND, MICHIGAN SERIES
200 Park Avenue
New York, NY 10166
MANAGER
The Dreyfus Corporation
200 Park Avenue
New York, NY 10166
CUSTODIAN
The Bank of New York
90 Washington Street
New York, NY 10286
TRANSFER AGENT &
DIVIDEND DISBURSING AGENT
The Shareholder Services Group, Inc.
P.O. Box 9671
Providence, RI 02940



Further information is contained
in the Prospectus, which must
precede or accompany this report.






Printed in U.S.A.                        053/617AR954

Annual Report
PREMIER STATE
MUNICIPAL BOND FUND
MICHIGAN SERIES
April 30, 1995

(Dreyfus Logo)






     COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT
     IN PREMIER STATE MUNICIPAL BOND FUND, MICHIGAN SERIES
     CLASS A SHARES AND THE LEHMAN BROTHERS MUNICIPAL BOND
     INDEX

     EXHIBIT A:
     ___________________________________________________
    |           |                 |                    |
    |           |                 |   PREMIER STATE    |
    |           | LEHMAN BROTHERS |MUNICIPAL BOND FUND,|
    |  PERIOD   |    MUNICIPAL    |  MICHIGAN SERIES   |
    |           |  BOND INDEX *   |  (CLASS A SHARES)  |
    |-----------|-----------------|--------------------|
    |  5/28/87  |          10,000 |              9,552 |
    |  4/30/88  |          10,929 |             10,644 |
    |  4/30/89  |          11,905 |             12,055 |
    |  4/30/90  |          12,763 |             12,729 |
    |  4/30/91  |          14,229 |             14,207 |
    |  4/30/92  |          15,582 |             15,644 |
    |  4/30/93  |          17,553 |             17,716 |
    |  4/30/94  |          17,932 |             18,362 |
    |  4/30/95  |          19,125 |             19,583 |
    |--------------------------------------------------|

     *Source: Lehman Brothers





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