PREMIER STATE MUNICIPAL BOND FUND
N-30D, 1995-06-28
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LETTER TO SHAREHOLDERS
Dear Shareholder:
    At the close of your Series' fiscal year on April 30, 1995, the net asset
value for Class A shares was $12.74, which was $.14 (1.11%) higher than the
closing net asset value one year ago. Income dividends of approximately $.754
per share were paid during this period, which translates into a distribution
rate per share of 5.65%, based on the April 30 closing maximum offering
price.
    The net asset value for Class B shares was $12.75, which was $.14 (1.11%)
higher than the closing net asset value one year ago. Income dividends of
approximately $.692 per share were paid during this period, which translates
into a distribution rate per share of 5.43% based on the April 30 closing net
asset value.
    We are pleased to report that all dividends paid from the net investment
income during this period were exempt from Federal and State of Arizona
personal income taxes.*
    The past fiscal year was marked by market turbulence and mixed economic
signals. The Series saw both sides of the volatile market as the Bond Buyer
25 Bond Revenue Index moved approximately 117 basis points. We attempted to
manage the Series through these difficult times by purchasing defensive
coupons to balance the discount holdings in the portfolio and by shortening
the average duration of the portfolio.
    Factors which negatively affected the performance of the Series during
the past fiscal year included interest rate increases by the Federal Reserve
Board, inflation pressures, and certain conditions in the municipal
marketplace. By the first quarter of 1995, however, these pressures had
abated and both the market and the Series began a strong recovery.
    As your Series' fiscal year progressed, new issuance of municipal bonds
in the specialty state sector became progressively thin, which forced
secondary market prices to high levels. Supply continued to be scant after
the New Year, but our investment posture remained unchanged. Because we did
not chase the roller-coaster market as it moved through the second and third
fiscal quarters, the Series was well positioned to capitalize on the market
strength which materialized during the last fiscal quarter. As a result, your
Series was able to rebound to its current level.
    Overall, we view the prospect of a continuation of the current market
rally with a cautious eye, since it appears that much of the appreciation
expected for 1995 is already behind us. With this in mind, the Series remains
fully invested to seek to take advantage of any additional market run-up in
an environment witnessing a continued scarcity of securities, and to seek a
high level of tax exempt income.
    We have included a current Statement of Investments and recent financial
statements for your review. We appreciate your investment in the Series and
look forward to serving your investment needs in the future.
                              Sincerely,
[Richard J. Moynihan signature logo]
                              Richard J. Moynihan
                              Director, Municipal Portfolio Management
                              The Dreyfus Corporation

May 16, 1995
New York, N.Y.
 *Some income may be subject to the Federal Alternative Minimum Tax (AMT) for
certain shareholders.

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

In Dollars
$11,698
Lehman Brothers Municipal Bond Index*
$11,383
Premier State
Municipal Bond Fund, Arizona Series
(Class A Shares)
*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>                        <C>                      <C>
1 Year                         7.41%           2.61%           1 Year                     6.88%                    3.88%
From Inception (9/3/92)        6.83            4.99            From Inception (1/15/93)   5.85                     5.04
</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, Arizona Series on 9/3/92 (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 8/31/92 is used
as the beginning value on 9/3/92. 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 Arizona 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 Arizona 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, ARIZONA SERIES
STATEMENT OF INVESTMENTS                                                                                      APRIL 30, 1995
                                                                                                 PRINCIPAL
LONG-TERM MUNICIPAL INVESTMENTS-90.7%                                                             AMOUNT          VALUE
                                                                                                  -------        -------
<S>                                                                                            <C>              <C>
ARIZONA-84.1%
Arizona Board of Regents - Arizona State University, System Revenue,
Refunding:
    6.125%, 7/1/2015........................................................                   $     100,000    $    101,303
    5.50%, 7/1/2019.........................................................                         750,000         699,683
Arizona Educational Loan Marketing Corp., Educational Loan Revenue
    6.375%, 9/1/2005........................................................                         100,000         104,422
Arizona Health Facilities Authority, Hospital System Revenue, Refunding
    (Samaritan Health System) 5.625%, 12/1/2015 (Insured; MBIA).............                         700,000         672,350
Casa Grande Industrial Development Authority, PCR
    (Frito-Lay, Inc. Pollution Control Project) 6.60%, 12/1/2010 (Guaranteed; Pepsico)               200,000         205,036
Chandler, Water and Sewer Revenue, Refunding 6.25%, 7/1/2013 (Insured; FGIC)                         200,000         205,026
Douglas Industrial Development Authority, IDR, Refunding (KMart Corp.
Project)
    6%, 1/1/2003............................................................                         460,000         459,673
Glendale, Improvement Revenue, District Number 59 6%, 1/1/2013..............                         100,000          98,917
Maricopa County Hospital District Number 1, Hospital Facilities, Refunding:
    6.25%, 6/1/2010 (Insured; FGIC).........................................                         100,000         104,302
    6.125%, 6/1/2015 (Insured; FGIC)........................................                         200,000         201,666
Maricopa County Industrial Development Authority:
    Health Facility Revenue (Catholic Healthcare West) 5.50%, 7/1/2010 (Insured; MBIA)               500,000         484,460
    MFHR, Refunding (Laguna Private Apartments Project) 6.75%, 7/1/2019.....                       1,000,000       1,007,670
Maricopa County Pollution Control Corp., PCR, Refunding
    (Public Service Co.-Palo Verde) 6.375%, 8/15/2023.......................                       1,000,000         913,060
Maricopa County School District:
    Number 6 (Washington Elementary) 6%, 7/1/2009 (Insured; AMBAC)..........                         200,000         207,908
    Number 28 (Kyrene Elementary) 6%, 7/1/2013 (Insured; AMBAC)
      (Prerefunded 7/1/2001) (a)............................................                         175,000         183,615
    School Improvement Number 3 (Tempe Elementary) 6%, 7/1/2008
      (Prerefunded 7/1/2006) (a)............................................                         100,000         101,824
Maricopa County Stadium District, Revenue 5.50%, 7/1/2013 (Insured; MBIA)...                       1,000,000         954,600
Maricopa County Unified School District, School Improvement:
    Chandler, Refunding 6.40%, 7/1/2010 (Insured; FGIC).....................                         300,000         312,732
    Gilbert, Refunding, Zero Coupon, 7/1/2005 (Insured; FGIC) (b)...........                       1,860,000       1,049,914
    Paradise Valley 5.875%, 7/1/2012 (Insured; FGIC)........................                         200,000         198,380
    Scottsdale 6%, 7/1/2012 (Prerefunded 7/1/2002) (a)......................                         100,000         105,854
City of Mesa 5.70%, 7/1/2008 (Insured; MBIA)................................                         300,000         299,421
Navajo County Pollution Control Corp., PCR, Refunding (Arizona Public Service
Co.)
    5.875%, 8/15/2028 (Insured; AMBAC)......................................                       1,000,000         967,990
City of Phoenix, Refunding:
    5.10%, 7/1/2013.........................................................                         750,000         675,848
    Street and Highway User Revenue:
      6.60%, 7/1/2007.......................................................                         250,000         267,905
      6.25%, 7/1/2011 (Insured; FGIC).......................................                         200,000         206,456
Phoenix Civic Improvement Corp.:
    Wastewater System Lease Revenue:
      6.125%, 7/1/2014 (Prerefunded 7/1/2003) (a)...........................                         100,000         107,924
      6.125%, 7/1/2023 (Prerefunded 7/1/2003) (a)...........................                         500,000         539,095

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

ARIZONA (CONTINUED)
Phoenix Civic Improvement Corp. (continued):
    Water Systems Revenue 5.40%, 7/1/2014...................................                    $  1,000,000   $     926,730
Phoenix Industrial Development Authority, SFMR
    6.30%, 12/1/2012 (Insured: FNMA, GNMA) (c)..............................                       1,000,000         987,380
Pima County, Tuscon Unified School District Number 1, School Improvement:
    6.10%, 7/1/2010 (Insured; FGIC).........................................                         100,000         101,958
    5.875%, 7/1/2014 (Insured; FGIC)........................................                       1,000,000         992,520
Pima and Maricopa Counties Industrial Development Authority, Multi-Family
Revenue
    5.875%, 1/1/2029 (Insured; FNMA)........................................                         500,000         456,180
Salt River Agricultural Improvement and Power District,
    Electric System Revenue (Salt River Project):
      6%, 1/1/2013..........................................................                         150,000         150,185
      5.50%, 1/1/2028.......................................................                       1,000,000         901,070
      Refunding 5.75%, 1/1/2013.............................................                         200,000         193,942
City of Scottsdale Municipal Property Corp., Excise Tax Revenue, Refunding
    6.25%, 11/1/2014 (Insured; FGIC)........................................                         100,000         101,976
City of Tempe 6%, 7/1/2009..................................................                         200,000         204,512
City of Tuscon, Refunding:
    6.10%, 7/1/2012 (Insured; FGIC).........................................                         250,000         253,300
    Water System Revenue:
      5.75%, 7/1/2012.......................................................                         100,000          98,384
      5.75%, 7/1/2018.......................................................                         500,000         478,385
University of Arizona, COP (Administrative and Packaging Facility Project)
    6%, 7/15/2023 (Insured; MBIA)...........................................                       1,000,000         989,160
University of Arizona Medical Center Corp., HR, Refunding
    6.25%, 7/1/2010 (Insured; MBIA).........................................                         200,000         207,032
U.S. RELATED-6.6%
Commonwealth of Puerto Rico, Refunding 6%, 7/1/2014.........................                         400,000         391,492
Puerto Rico Electric Power Authority, Power Revenue:
    6%, 7/1/2010............................................................                         550,000         541,876
    6.25%, 7/1/2017.........................................................                         520,000         517,473
                                                                                                                     -------
TOTAL LONG-TERM MUNICIPAL INVESTMENTS (cost $20,297,684)....................                                     $19,930,589
                                                                                                                 ===========
SHORT-TERM MUNICIPAL INVESTMENTS-9.3%
ARIZONA;
Pima County, Industrial Development Authority, Industrial Revenue, VRDN
    (Tuscon Electric Power-Ivington Project):
      4.70%, 7/1/2022 (LOC; Societe Generale) (d)...........................                    $  1,950,000    $  1,950,000
      4.70%, 10/1/2022 (LOC; Bank of America) (d)...........................                         100,000         100,000
                                                                                                                     -------
TOTAL SHORT_TERM MUNICIPAL INVESTMENTS (cost $2,050,000)...................                                     $  2,050,000
                                                                                                                ============
TOTAL INVESTMENTS-100.0%
    (cost $22,347,684)......................................................                                     $21,980,589
                                                                                                               =============
</TABLE>

<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES

SUMMARY OF ABBREVIATIONS
<S>           <C>                                                <S>     <C>
AMBAC         American Municipal Bond Assurance Corporation      LOC     Letter of Credit
COP           Certificate of Participation                       MBIA    Municipal Bond Investors Assurance
FGIC          Financial Guaranty Insurance Company                           Insurance Association
FNMA          Federal National Mortgage Association              MFHR    Multi-Family Housing Revenue
GNMA          Government National Mortgage Association           PCR     Pollution Control Revenue
HR            Hospital Revenue                                   SFMR    Single Family Mortgage Revenue
IDR           Industrial Development Revenue                     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                               48.6%
AA                                 Aa                             AA                                19.4
A                                  A                              A                                 16.4
BBB                                Baa                            BBB                                2.1
BB                                 Ba                             BB                                 4.2
F1+                                VMIG1                          SP1                                9.3
                                                                                                   ------
                                                                                                   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 in full at the
    earliest refunding date.
    (b)  Wholly held by the custodian in a segregated account as collateral
    for a delayed delivery security.
    (c)  Purchased on a when-issued basis.
    (d)  Secured by letter of credit. Securities payable on demand. The
    interest rate, which is subject to change, is based upon bank prime rates
    or an index of market rates.
    (e)  Fitch currently provides creditworthiness information for a limited
    number of investments.











See notes to financial statements.

<TABLE>
<CAPTION>


PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
STATEMENT OF ASSETS AND LIABILITIES                                                                               APRIL 30, 1995
<S>                                                                                            <C>               <C>
ASSETS:
    Investments in securities, at value
      (cost $22,347,684)-see statement......................................                                     $21,980,589
    Interest receivable.....................................................                                         354,387
    Receivable for shares of Beneficial Interest subscribed.................                                          29,558
    Prepaid expenses........................................................                                          11,230
    Due from The Dreyfus Corporation........................................                                           8,185
                                                                                                                     -------
                                                                                                                  22,383,949
LIABILITIES:
    Due to Distributor......................................................                   $       7,815
    Due to Custodian........................................................                          94,110
    Payable for investment securities purchased.............................                       1,003,150
    Payable for shares of Beneficial Interest redeemed......................                              13
    Accrued expenses and other liabilities..................................                          51,116       1,156,204
                                                                                                     -------          ------
NET ASSETS  ................................................................                                     $21,227,745
                                                                                                                  ==========
REPRESENTED BY:
    Paid-in capital.........................................................                                     $21,938,293
    Accumulated net realized (loss) on investments..........................                                        (343,453)
    Accumulated net unrealized (depreciation) on investments-Note 3.........                                        (367,095)
                                                                                                                     -------
NET ASSETS at value.........................................................                                     $21,227,745
                                                                                                                ============
Shares of Beneficial Interest outstanding:
    Class A Shares
      (unlimited number of $.001 par value shares authorized)...............                                       1,018,275
                                                                                                                  ==========
    Class B Shares
      (unlimited number of $.001 par value shares authorized)...............                                         647,399
                                                                                                                  ==========
NET ASSET VALUE per share:
    Class A Shares
      ($12,972,013 / 1,018,275 shares)......................................                                          $12.74
                                                                                                                      ======
    Class B Shares
      ($8,255,732 / 647,399 shares).........................................                                          $12.75
                                                                                                                      ======


See notes to financial statements.
</TABLE>

<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
STATEMENT OF OPERATIONS                                                                                YEAR ENDED APRIL 30, 1995
<S>                                                                                                <C>           <C>
INVESTMENT INCOME:
    INTEREST INCOME.........................................................                                     $1,173,115
    EXPENSES:
      Management fee-Note 2(a)..............................................                       $ 106,761
      Shareholder servicing costs-Note 2(c).................................                          68,466
      Distribution fees (Class B shares)-Note 2(b)..........................                          37,203
      Auditing fees.........................................................                           8,357
      Prospectus and shareholders' reports..................................                           6,495
      Organization expenses.................................................                           4,600
      Registration fees.....................................................                           2,360
      Custodian fees........................................................                           2,269
      Legal fees............................................................                           1,819
      Trustees' fees and expenses-Note 2(d).................................                             195
      Miscellaneous.........................................................                           9,833
                                                                                                       -----
                                                                                                     248,358
      Less-expense reimbursement from Manager due to
          undertakings-Note 2(a)............................................                         210,380
                                                                                                       _____
            TOTAL EXPENSES..................................................                                         37,978
                                                                                                                      ______
            INVESTMENT INCOME-NET...........................................                                      1,135,137
REALIZED AND UNREALIZED GAIN ON INVESTMENTS:
    Net realized (loss) on investments-Note 3...............................                       $(343,444)
    Net unrealized appreciation on investments..............................                         602,025
                                                                                                       _____
            NET REALIZED AND UNREALIZED GAIN ON INVESTMENTS.................                                        258,581
                                                                                                                      ______

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS........................                                     $1,393,718
                                                                                                                  ==========


See notes to financial statements.
</TABLE>

<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
STATEMENT OF CHANGES IN NET ASSETS
                                                                                                       YEAR ENDED APRIL 30,
                                                                                                         ----------------
                                                                                                      1994            1995
                                                                                                    --------         ------
<S>                                                                                            <C>              <C>
OPERATIONS:
    Investment income-net...................................................                   $     748,595    $  1,135,137
    Net realized (loss) on investments......................................                              --        (343,444)
    Net unrealized appreciation (depreciation) on investments for the year..                      (1,152,136)        602,025
                                                                                                     _______         ______
          NET INCREASE (DECREASE) IN NET ASSETS RESULTING FROM OPERATIONS...                        (403,541)      1,393,718
                                                                                                     _______          ______
DIVIDENDS TO SHAREHOLDERS FROM:
    Investment income-net:
      Class A shares........................................................                        (524,294)       (722,637)
      Class B shares........................................................                        (224,301)       (412,500)
    Net realized gain on investments:
      Class A shares........................................................                          (5,370)             --
      Class B shares........................................................                          (2,805)             --
                                                                                                     _______          ______
          TOTAL DIVIDENDS...................................................                        (756,770)     (1,135,137)
                                                                                                      ______         _______
BENEFICIAL INTEREST TRANSACTIONS:
    Net proceeds from shares sold:
      Class A shares........................................................                       8,029,274       3,423,651
      Class B shares........................................................                       5,684,625       2,606,355
    Dividends reinvested:
      Class A shares........................................................                         282,465         336,271
      Class B shares........................................................                          94,531         161,187
    Cost of shares redeemed:
      Class A shares........................................................                        (736,531)     (3,489,944)
      Class B shares........................................................                        (534,479)     (1,143,645)
                                                                                                     _______          ______
          INCREASE IN NET ASSETS FROM BENEFICIAL INTEREST TRANSACTIONS......                      12,819,885       1,893,875
                                                                                                     _______          ______
            TOTAL INCREASE IN NET ASSETS....................................                      11,659,574       2,152,456
NET ASSETS:
    Beginning of year.......................................................                       7,415,715      19,075,289
                                                                                                     _______          ______
    End of year.............................................................                     $19,075,289     $21,227,745
                                                                                                    ========        ========
</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............................                         594,166        281,816           420,705         206,514
    Shares issued for dividends reinvested.                          21,163         27,031             7,085          12,967
    Shares redeemed........................                         (54,791)      (283,309)          (39,666)        (93,196)
                                                                    -------       --------           -------         -------
          NET INCREASE IN SHARES OUTSTANDING                        560,538         25,538           388,124         126,285
                                                                    =======        =======           =======         =======

See notes to financial statements.
</TABLE>

<TABLE>
<CAPTION>

PREMIER STATE MUNICIPAL BOND FUND, ARIZONA 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:                                                      1993(1)     1994     1995    1993(2)     1994     1995
                                                                      ----       ----     ----    ----        ----     ----
    <S>                                                               <C>       <C>      <C>       <C>      <C>      <C>
    Net asset value, beginning of year.................               $12.50    $13.12   $12.60    $12.65   $13.12   $12.61
                                                                      ----       ----     ----       ----    ----     ----
    INVESTMENT OPERATIONS:
    Investment income-net..............................                  .51       .75      .75       .21      .68      .69
    Net realized and unrealized gain (loss) on investments               .62      (.51)     .14       .47     (.50)     .14
                                                                        ----      ----     ----      ----     ----     ----
      TOTAL FROM INVESTMENT OPERATIONS.................                 1.13       .24      .89       .68      .18      .83
                                                                        ----      ----     ----      ----     ----     ----
    DISTRIBUTIONS:
    Dividends from investment income-net...............                 (.51)     (.75)    (.75)     (.21)    (.68)    (.69)
    Dividends from net realized gain on investments....                  --       (.01)     --         --     (.01)      --
                                                                        ----      ----     ----      ----     ----     ----
      TOTAL DISTRIBUTIONS..............................                 (.51)     (.76)    (.75)     (.21)    (.69)    (.69)
                                                                        ----      ----     ----      ----     ----     ----
    Net asset value, end of year.......................               $13.12    $12.60   $12.74    $13.12   $12.61   $12.75
                                                                       =====    ======   ======    ======   ======   ======
TOTAL INVESTMENT RETURN(3).............................                14.01%(4)  1.61%    7.41%    18.49%(4) 1.16%    6.88%
RATIOS/SUPPLEMENTAL DATA:
    Ratio of expenses to average net assets ...........                  --        --       --        .50%(4)  .50%     .50%
    Ratio of net investment income to average net assets                5.71%(4)  5.51%    6.04%     4.61%(4) 4.95%    5.54%
    Decrease reflected in above expense ratios due to
      undertaking by the Manager ......................                 1.87%(4)  1.26%    1.07%     1.68%(4) 1.27%    1.10%
    Portfolio Turnover Rate ...........................                 5.94%(5)  3.65%   21.96%     5.94%(5) 3.65%   21.96%
    Net Assets, end of year (000's Omitted)............                  $5,671  $12,506  $12,972     $1,745  $6,569  $8,256
(1)    From September 3, 1992 (commencement of operations) to April 30, 1993.
(2)    From January 15, 1993 (commencement of initial offering) to April 30, 1993.
(3)    Exclusive of sales load.
(4)    Annualized.
(5)    Not annualized.

See notes to financial statements.
</TABLE>


PREMIER STATE MUNICIPAL BOND FUND, ARIZONA 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 Arizona 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 discounts 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, ARIZONA 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, if any, 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, 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.
    The Fund has an unused capital loss carryover of approximately $262,000
available for Federal income tax purposes to be applied against future net
securities profits, if any, realized subsequent to April 30, 1995. The
carryover does not include net realized securities losses from November 1,
1994 through April 30, 1995 which are treated, for Federal income tax
purposes, as arising in fiscal 1996. If not applied, the carryover expires in
fiscal 2003.
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
has undertaken from May 1, 1994 through April 2, 1995 to reimburse all fees
and expenses of the Series (excluding 12b-1 distribution plan fees and
certain expenses as described above), and thereafter through April 30, 1995,
to reduce the shareholder services plan fee paid by and reimburse such excess
expenses of 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 expense
reimbursement, pursuant to the undertakings, amounted to $210,380 for the
year ended April 30, 1995.
    The Manager has currently undertaken through June 30, 1995 or until such
time as the net assets of the Series exceed $50 million, regardless of
whether they remain at that level, to reimburse all fees and expenses of the
Series (excluding 12b-1 distribution plan fees, shareholder services plan
fees and certain expenses as described above).
    The undertaking may be modified by the Manager from time to time,
provided that the resulting expense reimbursement would not be less than the
amount required pursuant to the Agreement.
    Dreyfus Service Corporation retained $5,509 during the year ended April
30, 1995 from commissions earned on sales of the Series' Class A shares.

PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
NOTES TO FINANCIAL STATEMENTS (CONTINUED)
    Prior to August 24, 1994, Dreyfus Service Corporation retained $9,435 from
contingent deferred sales charges imposed upon redemptions of the Series'
Class B shares.
    (B) On August 3, 1994, 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 shares.
    Prior to August 24, 1994, the Distribution Plan ("prior Class B
Distribution Plan") provided that the Series pays 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 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, $26,079 was charged to the Series
pursuant to the Class B Distribution Plan and $11,124 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, $9,574 and $5,562 were charged to Class A and Class B shares,
respectively, by Dreyfus Service Corporation. From August 24, 1994 through
April 30, 1995, $20,352 and $13,040 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 $13,042,072 and $10,087,640, 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 depreciation on investments
was $367,095, consisting of $178,743 gross unrealized appreciation and
$545,838 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, ARIZONA SERIES
REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS
SHAREHOLDERS AND BOARD OF TRUSTEES
PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
    We have audited the accompanying statement of assets and liabilities,
including the statement of investments, of Premier State Municipal Bond Fund,
Arizona 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
and brokers. 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, Arizona 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 and Young LLP signature logo]
New York, New York
June 6, 1995


PREMIER STATE MUNICIPAL BOND FUND, ARIZONA SERIES
IMPORTANT TAX INFORMATION (UNAUDITED)
    In accordance with Federal tax law, the Series hereby designates all the
dividends paid from investment income_net during the fiscal year ended April
30, 1995 as "exempt_interest dividends" (not subject to regular Federal and,
for individuals who are Arizona residents, Arizona personal income taxes).
    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.

[Dreyfus lion "d" logo]
PREMIER STATE MUNICIPAL
BOND FUND, ARIZONA 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.                        067/626AR954
[Dreyfus logo]
Annual Report
Premier State
Municipal Bond Fund
Arizona Series
April 30, 1995






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

     EXHIBIT A:
     ____________________________________________________
    |           |                 |                     |
    |           |                 |    PREMIER STATE    |
    |  PERIOD   | LEHMAN BROTHERS |MUNICIPAL BOND FUND, |
    |           |    MUNICIPAL    |   ARIZONA SERIES    |
    |           |  BOND INDEX *   |  (CLASS A SHARES)   |
    |-----------|-----------------|---------------------|
    |  9/3/92   |          10,000 |               9,549 |
    |  4/30/93  |          10,736 |              10,429 |
    |  4/30/94  |          10,968 |              10,597 |
    |  4/30/95  |          11,698 |              11,383 |
    |---------------------------------------------------|


     *Source: Lehman Brothers




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