DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
N-30D, 1998-08-07
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DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  provide you with this report on the Dreyfus New York Tax
Exempt  Intermediate  Bond Fund for the 12-month period ended May 31, 1998. Your
Fund  produced a total return, including share price changes and dividend income
generated,  of 8.25%,* and an annualized tax-free distribution rate per share of
4.39%.**

Economic Review

  In  recent  months,  economic  developments  overseas  began  to assert a more
vigorous  influence  on the U.S. economy. The first quarter of the 1998 calendar
year  saw the U.S. trade deficit rising to a new high. Exports contracted due to
reduced  foreign  demand  for  U.S. products, which resulted in a marked rise in
business inventories that could create a drag on future production as stockpiles
are  depleted. At the same time, imports surged. Spurred by a strong U.S. dollar
and  robust  consumer  spending,  the  increase in cheaper imports helped dampen
domestic  inflation  since  American  producers  had to restrain their prices in
order to remain competitive. The suppressive effect of the trade deficit on both
domestic  production  and  prices  has  been  fortuitously  in  concert with the
direction    of   Federal   Reserve   Board   (the   Fed)   monetary   policy.

  The  financial  difficulties  that  began in Asia last year have now spread to
Latin  America  and  beyond.  That  tenuous situation and the continued economic
instability  in  Russia  have  contributed  to  the  Fed' s status quo policy in
monetary  matters  since  the  Fed  is concerned that any increase in short-term
interest  rates  would  further  unsettle  world  markets.  The last increase in
short-term  rates came in March 1997 when the Federal Open Market Committee (the
policy-making  arm  of  the Fed) raised the target rate for Federal Funds by one
quarter  of  a  percent to 5.5%. (The Federal Funds rate is the rate of interest
that   banks   charge   each   other   for   the   use   of   Federal   Funds.)

  Consumers,  spurred  by real wage gains and a healthy job market, continued to
spend  freely in the retail sector during the reporting period, giving retailers
some  of  their  best  months  in  a  decade.  The  buoyant  stock  market,  low
unemployment  rate  and  absence of inflation encouraged consumers to spend. The
market  for so-called "big ticket" items has been strong: the housing market was
solid  throughout  the reporting period and continues to be, while car and truck
sales    are    at    ten-year    highs.

  Unemployment  (4.3%  at  the end of the reporting period) is at a 28-year low.
Inflation,  at  both consumer and producer levels, has been dormant. Workers are
benefiting from having their wages rise faster than inflation. The most recently
reported  statistics  on  hourly  wages  (through  April) revealed that over the
previous 12 months, wages rose 4.4% while the Consumer Price Index increased but
1.4% . The  tight  labor  market  and upward pressure on wages, because of their
potential  for  rekindling  inflation,  have been major concerns of the Fed. The
wage  rate  increase  of  4.4%  (above) , compared  to  3.7% and 3.1% in the two
previous    years,    illustrates    the    upward    creep    of    wages.

  Over  the  past  few  years,  gains in worker productivity (output per hour of
work)  have  offset any incipient price pressures from rising wages. Enhanced by
the  widespread  use of technology, productivity rose 1.7% last year and 1.9% in
1996, compared to an average increase of only 1% for the period 1974-1995. These
gains  are  a  key  factor in the continuation of our high-growth, low-inflation
economy.  However,  productivity  gains slowed to 1.1% during the first quarter,
the  slowest  pace  in  over  a  year. So far, our economy has been in a charmed
circle  where  even international financial crises have proven supportive of our
economic  policies.  As  always,  we  remain  alert  for  warning signs that the
delicate  balance  that  now  prevails  in  the  economy  might  be  disturbed.

Market Environment

  The  market  environment for bonds has been very constructive. During the last
six  months,  yields  on  long-term,  high-grade  tax-exempt bonds have declined
marginally,  while  U.S.  Treasury  bond  yields  fell  by over one-quarter of a
percent.  Certainly,  it  has  been  the uncertain impact of the Asian financial
crisis  that  has kept the Fed from pushing rates higher despite strong domestic
economic  data.  Spurred  by  the  drop  in rates, the issuance of new municipal
securities  surged  during  the  last several months. In fact, the volume of new
issuance  in 1997 rose 20% over the previous year, marking it as one of the most
prolific years of issuance in history. So far, 1998 is on course to eclipse last
year's pace: through May, volume is up 50% from the previous year.

  We  believe  that  it is still too early to draw any conclusions regarding how
much  the  Asian  crisis  will  impact the U.S. economy. Until a clearer picture
emerges  from  Asia,  we  believe  investors  will continue to find fixed-income
investments attractive. The still strong and expanding economy would normally be
a  cause  for  concern  to inflation watchers. However, it is generally believed
that  the  Fed  will  refrain  from  taking any interest rate actions that could
exacerbate  the  Asian  situation.  We  share  this  view. While the most recent
economic  and  employment  data have been indicative of a strengthening economy,
inflation    remains    quiescent.

  The  fixed-income  markets  have  now  weathered  the period of seasonal price
weakness  that  results  from  large  debt  issuance.  Traditionally,  as summer
approaches,  the  pressure from too much new-issue supply begins to abate. Given
this  fact  and the reasons cited above, we believe that the current environment
supports an outlook for steady monetary policy and well-anchored interest rates.
As long as inflation growth remains low, we don't anticipate the Fed reacting to
strong  employment  and economic data by raising rates. Instead, we believe that
the   events  in  Asia,  Russia  and  other  emerging  countries  will  be  more
influential.

Portfolio Overview

We took several approaches over the past year in response to the trading range
that  the  market  established.  We maintained a significant base of high income
producing  issues  which we believe helps stabilize the portfolio through up and
down  cycles.  At  times  we  found  it  advantageous to add to the weighting of
discount  paper,  particularly as Treasury yields were approaching the 6% level.
As  we  have discussed in previous letters, the intermediate sector of the curve
continues  to  provide  the investor with returns that are very competitive when
compared  to  the longer market. The New York investor was clearly a beneficiary
of  the  record issuance that was brought to market over the past six months. As
supply  increased,  we  were  given  opportunities  to enhance yield, spread and
quality. Issues that, in the past, would command a premium to the general market
were  trading on national levels. An ongoing problem for state-specific funds is
finding  investment  diversity.  The  issuance  of  $3 billion bonds by the Long
Island  Power  Authority  provided  the  market  with a new name and the largest
single issuance of tax-exempt debt in history. The success of such a large issue
clearly  indicates  how  much  demand is in the municipal market. We continue to
look  for  opportunities  that  will  enhance  the  portfolio's performance. The
improvement in the New York State economy has resulted in credit rating upgrades
for  the  State  and  its  appropriated  debt, as well as for New York City. The
portfolio has seen these upgrades translated into higher prices for the numerous
state  and  city  issues  that  it  holds. We are pleased to inform you that the
Fund' s  one-year total return as of 5/31/98 of 8.25% compared very favorably to
the  Lipper New York Intermediate Municipal Debt Funds Category Average of 7.51%
over the same period.***

  Included  with  this  report  are financial statements relating to your Fund's
holdings and its financial condition. We hope you find them informative.

               Very truly yours,


               [Richard J. Moynihan signature logo]


               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

June 18, 1998

New York, N.Y.

* Total return includes reinvestment of dividends any capital gains paid. Income
may be subject to state and local income taxes for non-New York residents

**Distribution  rate per share is based upon dividends per share paid from net
investment income during the period (annualized), divided by the net asset value
per  share  at  the  end of the period, adjusted for capital gain distributions.
Some  income  may  be  subject  to the Federal Alternative Minimum Tax (AMT) for
certain shareholders.

***SOURCE:  LIPPER  ANALYTICAL  SERVICES,  INC.  --  Yield,  share  price  and
investment  return fluctuate such that an investor may receive more or less than
original  cost  upon  redemption.  Past  performance  is  no guarantee of future
results.


DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND               MAY 31, 1998
- -----------------------------------------------------------------------------

  COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN DREYFUS NEW YORK TAX
 EXEMPT INTERMEDIATE BOND FUND AND THE LEHMAN BROTHERS 10-YEAR MUNICIPAL BOND
                                     INDEX

$22,296

Lehman Brothers 10-Year Municipal

Bond Index*

                                    Dollars

$20,468
<TABLE>
Dreyfus New York Tax Exempt Intermediate Bond Fund

*Source: Lehman Brothers

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

                      One Year Ended                   Five Years Ended                  Ten Years Ended

                       May 31, 1998                      May 31, 1998                     May 31, 1998

                   ____________________             ____________________          __________________________
<S>                         <C>                              <C>                              <C>
                            8.25%                            5.79%                            7.43%
- ------------------------
</TABLE>
Past performance is not predictive of future performance.

The  above  graph  compares  a  $10,000  investment made in Dreyfus New York Tax
Exempt  Intermediate  Bond  Fund  on 5/31/88 to a $10,000 investment made in the
Lehman  Brothers  10-Year  Municipal  Bond Index on that date. All dividends and
capital gain distributions are reinvested.

The  Fund  invests  primarily  in  New York municipal securities and maintains a
portfolio  with  a weighted-average maturity ranging between 3 and 10 years. The
Fund's performance shown in the line graph takes into account fees and expenses.
Unlike  the  Fund,  the  Lehman  Brothers  10-Year  Municipal  Bond  Index is an
unmanaged   total   return  performance  benchmark  for  the  investment-grade,
geographically  unrestricted  10-year  tax  exempt  bond  market,  consisting of
municipal  bonds  with  maturities  of  9-12 years. The Index does not take into
account  charges,  fees  and  other  expenses  and is not limited to investments
principally  in  New York municipal obligations. These factors, coupled with the
potentially   longer  maturity  of  the  Index,  can  contribute  to  the  Index
potentially  outperforming  the  Fund.  Further  information  relating  to  Fund
performance,  including  expense  reimbursements, if applicable, is contained in
the Financial Highlights section of the Prospectus and elsewhere in this report

<TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                                         MAY 31, 1998

                                                                                                  Principal

Long-Term Municipal Investments--99.7%                                                             Amount            Value
- -------------------------------------------------------

                                                                                               _____________      _____________
<S>                                                                                            <C>               <C>
New York--90.6%

Albany Parking Authority, Parking Revenue, Refunding:

  6.50%, 11/1/2004                                                                             $    1,000,000    $    1,083,160

  6.70%, 11/1/2006                                                                                  1,000,000         1,096,790

Battery Park City Authority, Revenue, Refunding

  5.125%, 11/1/2005                                                                                 3,830,000         4,006,525

Buffalo Municipal Water Finance Authority, Water System Revenue

  5.50%, 7/1/2005 (Insured; FSA)                                                                    1,200,000         1,282,764

City University of New York, COP, Refunding (John Jay College)

  5.75%, 8/15/2004                                                                                  5,000,000         5,340,600

Development Authority of the North Country, Solid Waste Management System
Revenue

  6.40%, 7/1/2000 (Prerefunded 7/1/1999) (a)                                                          605,000           633,114

Franklin Solid Waste Management Authority, Solid Waste System Revenue

  6%, 6/1/2005 (Prerefunded 6/1/2003) (a)                                                           1,515,000         1,661,925

Housing New York Corp., Revenue, Refunding

  5.50%, 11/1/2010                                                                                  2,000,000         2,070,060

Long Island Power Authority, Electric System General Revenue:

  5.25%, 12/1/2001                                                                                  8,000,000         8,305,520

  5.25%, 12/1/2002                                                                                  6,100,000         6,370,596

Metropolitan Transportation Authority

 Transit Facilities Revenue:

    5.50%, 7/1/2008 (Insured; MBIA)                                                                 4,380,000         4,593,131

    5.625%, 7/1/2010 (Insured; MBIA)                                                                4,895,000         5,191,637

Nassau County, Refunding:

  6%, 7/1/2010 (Insured; FGIC)                                                                      5,225,000         5,915,484

  General Improvement 4.75%, 9/1/2010 (Insured; FGIC)                                               3,475,000         3,501,931

New York City:

  5%, 6/1/2001                                                                                      1,125,000         1,150,481

  5.25%, 8/1/2011                                                                                   3,000,000         3,067,260

  Refunding:

    5.75%, 8/1/2002 (Insured; MBIA)                                                                 4,200,000         4,458,048

    5.40%, 2/15/2003                                                                                4,500,000         4,698,045

    6.25%, 8/1/2009                                                                                 3,225,000         3,512,605

    6.25%, 8/1/2009                                                                                 4,790,000         5,355,124

    5.90%, 8/1/2010                                                                                 5,000,000         5,400,000

    5.25%, 8/1/2011                                                                                 2,000,000         2,046,340

    5%, 8/1/2012                                                                                    5,500,000         5,474,755

New York City Housing Authority, Multi-Family Revenue, Refunding

  5.20%, 7/1/2004 (Insured; AMBAC)                                                                  2,275,000         2,340,475

New York City Housing Development Corp., MFHR

  5.50%, 11/1/2009                                                                                  6,750,000         7,016,558

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                             MAY 31, 1998

                                                                                                   Principal

Long-Term Municipal Investments (continued)                                                         Amount            Value
- -------------------------------------------------------

                                                                                                _____________     _____________
_

New York (continued)

New York City Industrial Development Agency,

 Civic Facility Revenue (College of Aeronautics Project):

    5.10%, 5/1/2008 (b)                                                                       $       500,000   $       500,325

    5.25%, 5/1/2010 (b)                                                                               555,000           554,978

    5.30%, 5/1/2011 (b)                                                                               585,000           585,743

New York City Municipal Water Finance Authority, Water and Sewer System Revenue

  5.55%, 6/15/2001                                                                                  1,500,000         1,562,490

  6.60%, 6/15/2002                                                                                  1,495,000         1,606,572

  6.60%, 6/15/2002 (Prerefunded 6/15/2001) (a)                                                      1,505,000         1,628,741

New York State, Refunding:

  5.50%, 8/15/2006                                                                                  4,300,000         4,617,899

  5.40%, 10/1/2008                                                                                  1,430,000         1,527,154

New York State Dormitory Authority, Revenue:

 (City University):

    5.70%, 7/1/2005                                                                                 3,500,000         3,732,680

    5.25%, 7/1/2006 (Insured; FGIC)                                                                 3,000,000         3,176,040

    5.75%, 7/1/2009                                                                                 8,085,000         8,749,991

  (Cornell University) Refunding 5.40%, 7/1/2009                                                    4,000,000         4,306,000

  (Department of Health):

    6%, 7/1/2005                                                                                    2,500,000         2,712,700

    6%, 7/1/2006                                                                                    2,350,000         2,556,777

    Refunding 5.50%, 7/1/2005                                                                       1,000,000         1,055,110

  (Highland Community Development Corp.)

    5.50%, 7/1/2001 (LOC; Marine Midland Bank) (c)                                                  4,750,000         4,903,330

  (Mental Health Services Facilities):

    6%, 8/15/2006                                                                                   3,320,000         3,642,936

    Refunding 6%, 2/15/2007                                                                         5,640,000         6,190,408

  Secured Hospital:

    (The Brookdale Hospital Medical Center)

       Refunding 5.10%, 2/15/2011                                                                   4,040,000         4,065,896

    (Interfaith Medical Center)

       5.375%, 2/15/2012                                                                            4,340,000         4,428,536

  (State Service Contract-Albany County):

    5.10%, 4/1/2010                                                                                 2,310,000         2,343,079

    5.25%, 4/1/2011                                                                                 1,210,000         1,232,361

  (State University Educational Facilities):

    6.10%, 5/15/2005 (Prerefunded 5/15/2003) (a)                                                    2,630,000         2,898,786

    6.10%, 5/15/2008 (Prerefunded 5/15/2004) (a)                                                    2,000,000         2,228,060

New York State Energy Research and Development Authority,

 State Service Contract Revenue (Western New York Nuclear Service Center
Project):

    5.25%, 4/1/2003 (Insured; CMAC)                                                                 5,345,000         5,585,739

    5.40%, 4/1/2005 (Insured; CMAC) (d)                                                             2,000,000         2,118,100

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
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STATEMENT OF INVESTMENTS (CONTINUED)                             MAY 31, 1998

                                                                                                   Principal

Long-Term Municipal Investments (continued)                                                         Amount            Value
- -------------------------------------------------------


                                                                                                _____________     _____________

New York (continued)

New York State Environmental Facilities Corp.,

 PCR:

   Special Obligation:

       (Riverbank State Park) 7.10%, 4/1/2002                                                  $    1,130,000    $    1,250,684

       (State Park Infrastructure) 5.75%, 3/15/2008                                                 2,475,000         2,606,645

    (State Water Revolving Fund):

       7.30%, 6/15/2001                                                                             4,000,000         4,329,000

       6.30%, 6/15/2002 (Prerefunded 6/15/2001) (a)                                                 2,355,000         2,550,865

       6.30%, 6/15/2002                                                                               645,000           697,193

       6.20%, 3/15/2004                                                                             1,700,000         1,859,936

       (New York Municipal Water Finance Authority Project):

         6.35%, 6/15/2006 (Prerefunded 6/15/2004) (a)                                               1,195,000         1,345,833

         6.35%, 6/15/2006                                                                             805,000           899,966

         4.90%, 6/15/2010 (Insured; MBIA)                                                           3,500,000         3,567,830

New York State Housing Finance Agency, Revenue, Refunding:

 (Health Facilities-New York City):

    7.90%, 11/1/1999                                                                                  900,000           935,847

    6%, 11/1/2006                                                                                  12,450,000        13,573,488

  (Housing Mortgage Project)

    5.875%, 11/1/2010 (Insured; FSA)                                                                3,930,000         4,237,680

  (Service Contract Obligation):

    5.25%, 3/15/2011                                                                                3,465,000         3,538,112

    5.25%, 9/15/2011                                                                                3,610,000         3,686,171

New York State Local Government Assistance Corp.:

  6.70%, 4/1/2000                                                                                      25,000            26,245

  6.70%, 4/1/2000                                                                                   2,465,000         2,583,936

  6.75%, 4/1/2002                                                                                   2,500,000         2,708,275

New York State Medical Care Facilities Finance Agency, Revenue:

  (Hospital and Nursing Home) 5.875%, 2/15/2008 (Insured; FHA)                                      2,215,000         2,368,012

  (Mortgage Project) 5.40%, 8/15/2005 (Insured; FHA)                                                  995,000         1,047,675

New York State Mortgage Agency, Revenue (Homeowner Mortgage):

  6.15%, 10/1/2001                                                                                  1,225,000         1,281,632

  5.20%, 10/1/2008                                                                                  1,320,000         1,359,402

  5.30%, 10/1/2009                                                                                  2,645,000         2,718,372

New York State Power Authority, General Purpose Revenue

  6.50%, 1/1/2004 (Prerefunded 1/1/2001) (a)                                                        2,735,000         2,950,463

New York State Thruway Authority:

 (Emergency Highway Reconditioning and Preservation)

    6%, 1/1/2002 (Insured; FSA)                                                                     2,000,000         2,123,480

  General Revenue 5.70%, 1/1/2008 (Insured; FGIC)                                                   3,000,000         3,253,290

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                             MAY 31, 1998

                                                                                                  Principal

Long-Term Municipal Investments (continued)                                                        Amount             Value
- -------------------------------------------------------

                                                                                                _____________     _____________


New York (continued)

New York State Thruway Authority (continued):

 (Highway and Bridge Trust Fund):

    5.25%, 4/1/2009 (Insured; FGIC)                                                            $    4,500,000    $    4,762,935

    5.30%, 4/1/2010 (Insured; AMBAC)                                                                1,680,000         1,765,327

  Service Contract Revenue (Local Highway and Bridge):

    5.50%, 4/1/2004                                                                                 1,130,000         1,189,754

    5.625%, 4/1/2007                                                                                3,315,000         3,532,000

    5.90%, 4/1/2007                                                                                 7,000,000         7,583,520

New York State Urban Development Corp.

 Refunding, Project (Onondaga County Convention):

    6.25%, 1/1/2007                                                                                 1,725,000         1,906,953

    6.25%, 1/1/2008                                                                                 1,830,000         2,023,779

    6.25%, 1/1/2009                                                                                 1,950,000         2,149,934

    6.25%, 1/1/2010                                                                                 2,065,000         2,267,019

Onondaga County Industrial Development Agency, PCR, Refunding

  (Anheuser-Busch Co. Inc. Project) 6.625%, 8/1/2006                                                4,000,000         4,530,240

Port Authority of New York and New Jersey:

  6%, 7/15/2006 (Insured; FGIC)                                                                     1,625,000         1,795,121

  Special Project Bonds (JFK International Air Terminal LLC Project)

    6.25%, 12/1/2011 (Insured; MBIA)                                                                8,000,000         9,181,840

Rensselaer Industrial Development Agency, IDR (Albany International Corp.)

  7.55%, 6/1/2007 (LOC; Fleet Trust Co.) (c)                                                        2,000,000         2,401,420

Suffolk County Water Authority, Waterworks Revenue, Refunding

  5.10%, 6/1/2003 (Insured; MBIA)                                                                   3,545,000         3,695,804

Syracuse:

 COP

   (Syracuse Hancock International Airport):

       6.50%, 1/1/2004                                                                              1,045,000         1,132,770

       6.60%, 1/1/2005                                                                              1,105,000         1,204,903

       6.70%, 1/1/2007                                                                              1,210,000         1,319,989

  Public Improvement:

    5.70%, 6/15/2004                                                                                1,850,000         1,983,459

    5.70%, 6/15/2005                                                                                1,830,000         1,954,257

Syracuse Industrial Development Agency, Pilot Revenue, Refunding

  5.125%, 10/15/2002 (LOC; ABN AMRO Bank) (c)                                                       3,000,000         3,084,990

Town of Hempstead Industrial Development Agency, RRR

  (American Fuel Co. Project) 5%, 12/1/2009 (Insured; MBIA)                                        10,445,000        10,746,129

United Nations Development Corp., Refunding (Senior Lien):

  5%, 7/1/2007                                                                                      1,000,000         1,004,110

  5.30%, 7/1/2010                                                                                   1,295,000         1,300,983

  5.30%, 7/1/2011                                                                                   1,000,000         1,003,610

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                             MAY 31, 1998

                                                                                                   Principal

Long-Term Municipal Investments (continued)                                                         Amount            Value
- -------------------------------------------------------

                                                                                                _____________     _____________


New York (continued)

Westchester County Industrial Development Agency, RRR:

  Equity (Westchester Resco Co. Project) 5.50%, 7/1/2009                                       $    2,650,000    $    2,749,587

  Refunding (Resco Co. Project) 5.50%, 7/1/2006 (Insured; AMBAC)                                    2,850,000         3,036,048

  (Westchester Resco Co. Project) 5.125%, 7/1/2006 (Insured; AMBAC)                                 1,000,000         1,040,910

Yonkers,

 GO:

    5%, 9/1/2009 (Insured; FGIC)                                                                    1,040,000         1,073,384

    5%, 9/1/2010 (Insured; FGIC)                                                                    1,165,000         1,196,222

    5%, Series A, 9/1/2011 (Insured; FGIC)                                                          1,000,000         1,018,030

    5%, Series B, 9/1/2011 (Insured; FGIC)                                                          1,000,000         1,018,030

U.S. Related--9.1%

Commonwealth of Puerto Rico, Refunding:

  Improvement 5.375%, 7/1/2005                                                                      2,250,000         2,377,350

  Public Improvement 5.50%, 7/1/2011                                                                2,500,000         2,669,750

Puerto Rico Electric Power Authority, Power Revenue

  5.50%, 7/1/2009 (Insured; MBIA)                                                                   6,065,000         6,614,610

Puerto Rico Highway and Transportation Authority, Highway Revenue

  6.25%, 7/1/2007 (Insured; MBIA)                                                                   3,500,000         3,989,055

Puerto Rico Public Buildings Authority, Revenue

 (Guaranteed Government Facilities)

  6.25%, 7/1/2008 (Insured; AMBAC)                                                                  3,730,000         4,283,868

Puerto Rico Telephone Authority, Revenue

  6.393%, 1/25/2007 (Insured; MBIA) (e)                                                             3,925,000         4,297,875

Virgin Islands, Subordinated Special Tax (Insurance Claims Fund Program,

  GO Matching Fund) 5.65%, 10/1/2003 (Prerefunded 10/1/2001) (a)                                    3,610,000         3,754,328

Virgin Islands Public Finance Authority, Revenue, Refunding

 Fund Loan Notes:

    Matching 6.80%, 10/1/2000                                                                       1,500,000         1,596,270

    Senior Lien 5.50%, 10/1/2004                                                                    3,000,000         3,150,150

                                                                                                                  _____________

TOTAL LONG-TERM MUNICIPAL INVESTMENTS

  (cost $339,722,351)                                                                                              $358,969,704

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


Short-Term Municipal Investment--.3%
- -------------------------------------------------------

New York;

New York City, VRDN 4% (LOC; Morgan Guaranty Trust Co.) (c,f)

  (cost $1,000,000)                                                                            $    1,000,000     $   1,000,000

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


TOTAL INVESTMENTS--100.0%

  (cost $340,722,351)                                                                                              $359,969,704
                                                                                                                  =============
</TABLE>
<TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------


Summary of Abbreviations
- -----------------------------------------------------------------------------
<S>         <C>                                                     <C>         <C>
AMBAC       American Municipal Bond Assurance Corporation           IDR         Industrial Development Revenue

CMAC        Capital Market Assurance Corporation                    LOC         Letter of Credit

COP         Certificate of Participation                            MBIA        Municipal Bond Investors Assurance

FGIC        Financial Guaranty Insurance Company                                   Insurance Corporation

FHA         Federal Housing Administration                          MFHR        Multi-Family Housing Revenue

FSA         Financial Security Assurance                            PCR         Pollution Control Revenue

GO          General Obligation                                      RRR         Resources Recovery Revenue

                                                                    VRDN        Variable Rate Demand Notes

Summary of Combined Ratings (Unaudited)
- -----------------------------------------------------------------------------

Fitch (g)            or            Moody's             or            Standard & Poor's              Percentage of Value

_______                            ________                          _________________              ___________________

AAA                                Aaa                               AAA                                  32.3%

AA                                 Aa                                AA                                   10.4

A                                  A                                 A                                    36.7

BBB                                Baa                               BBB                                  18.4

F1                                 MIG1/P1                           SP1/A1                                 .3

Not Rated (h)                      Not Rated (h)                     Not Rated (h)                         1.9

                                                                                                         _______

                                                                                                         100.0%

                                                                                                         =======


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) Purchased on a delayed-delivery basis.

(c) Secured by letters of credit.

(d) Wholly  held  in  a  segregated  account as collateral for delayed-delivery
    security.

(e) Inverse   floater   security-the   interest   rate  is  subject  to  change
    periodically.

(f) Securities  payable  on  demand.  The  interest  rate,  which is subject to
    change, is based upon bank prime rates or an index of market interest
    rates.

(g) Fitch  currently provides creditworthiness information for a limited number
    of investments.

(h) Securities  which,  while not rated by Fitch, Moody's and 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>
<TABLE>

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                              MAY 31, 1998

                                                                                                    Cost              Value

                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments         $340,722,351      $359,969,704

                                 Cash                                                                                 1,497,239

                                 Interest receivable                                                                  5,926,709

                                 Receivable for shares of Beneficial Interest subscribed                                 50,000

                                 Prepaid expenses                                                                         7,782

                                                                                                                  _____________

                                                                                                                    367,451,434

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates                                          219,974

                                 Due to Distributor                                                                       9,141

                                 Payable for investment securities purchased                                          1,651,181

                                 Accrued expenses                                                                        89,957

                                                                                                                  _____________

                                                                                                                      1,970,253

                                                                                                                  _____________

NET ASSETS                                                                                                         $365,481,181

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


REPRESENTED BY:                  Paid-in capital                                                                   $343,912,104

                                 Accumulated undistributed investment income--net                                        84,709

                                 Accumulated net realized gain (loss) on investments                                  2,237,015

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4                                                            19,247,353

                                                                                                                  _____________

NET ASSETS                                                                                                         $365,481,181

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


SHARES OUTSTANDING

(UNLIMITED NUMBER OF $.001 PAR VALUE SHARES OF BENEFICIAL INTEREST AUTHORIZED)                                       19,623,184

NET ASSET VALUE, offering and redemption price per share--Note 3(d)                                                      $18.62

                                                                                                                        =======


 SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                               YEAR ENDED MAY 31, 1998

INVESTMENT INCOME
<S>                                                                                              <C>                <C>

INCOME                           Interest Income                                                                    $19,010,847

EXPENSES:                        Management fee--Note 3(a)                                       $  2,175,985

                                 Shareholder servicing costs--Note 3(b)                             1,108,578

                                 Directors' fees and expenses--Note 3(c)                               38,681

                                 Professional fees                                                     37,994

                                 Custodian fees                                                        37,422

                                 Prospectus and shareholders' reports                                  18,845

                                 Registration fees                                                      8,890

                                 Loan commitment fees--Note 2                                           3,622

                                 Miscellaneous                                                         21,965

                                                                                                 ____________

                                        Total Expenses                                              3,451,982

                                 Less--reduction in management fee due to
                                    undertaking--Note 3(a)                                          (547,047)

                                                                                                 ____________

                                        Net Expenses                                                                  2,904,935

                                                                                                                   ____________

INVESTMENT INCOME--NET                                                                                               16,105,912

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

                                 Net realized gain (loss) on investments                         $  3,305,521

                                 Net unrealized appreciation (depreciation) on investments          9,348,627

                                                                                                 ____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                                                               12,654,148

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                                                                $28,760,060

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


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                              Year Ended           Year Ended

                                                                                             May 31, 1998         May 31, 1997

                                                                                             _____________        _____________
<S>                                                                                          <C>                  <C>
OPERATIONS:

  Investment income--net                                                                     $  16,105,912        $  16,777,175

  Net realized gain (loss) on investments                                                        3,305,521            2,015,059

  Net unrealized appreciation (depreciation) on investments                                      9,348,627            6,021,385

                                                                                             _____________        _____________

    Net Increase (Decrease) in Net Assets Resulting from Operations                             28,760,060           24,813,619

                                                                                             _____________        _____________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net                                                                      (16,064,450)         (16,733,928)

  Net realized gain on investments                                                             (1,654,760)          (3,561,305)

                                                                                             _____________        _____________

    Total Dividends                                                                           (17,719,210)         (20,295,233)

                                                                                             _____________        _____________

BENEFICIAL INTEREST TRANSACTIONS:

  Net proceeds from shares sold                                                                 62,436,901           65,461,930

  Dividends reinvested                                                                          14,469,657           16,872,078

  Cost of shares redeemed                                                                     (79,996,421)         (94,469,806)

                                                                                             _____________        _____________

    Increase (Decrease) in Net Assets from Beneficial Interest Transactions                    (3,089,863)         (12,135,798)

                                                                                             _____________        _____________

       Total Increase (Decrease) in Net Assets                                                   7,950,987          (7,617,412)

NET ASSETS:

  Beginning of Period                                                                          357,530,194          365,147,606

                                                                                             _____________        _____________

  End of Period                                                                               $365,481,181         $357,530,194

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


UNDISTRIBUTED INVESTMENT INCOME--NET                                                         $      84,709         $     43,247

                                                                                             _____________        _____________

CAPITAL SHARE TRANSACTIONS:                                                                    Shares               Shares

                                                                                             _____________        _____________

  Shares sold                                                                                    3,369,699            3,633,364

  Shares issued for dividends reinvested                                                           781,618              934,197

  Shares redeemed                                                                               (4,322,391)          (5,250,188)

                                                                                             _____________        _____________

    Net Increase (Decrease) in Shares Outstanding                                                (171,074)            (682,627)

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


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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


                                                                                         Year Ended May 31,

                                                                  _____________________________________________________________
PER SHARE DATA:                                                    1998          1997         1996         1995         1994
                                                                  ______       ______        ______       ______       ______
<S>                                                               <C>          <C>          <C>          <C>           <C>
   Net asset value, beginning of period                           $18.06       $17.83       $18.05       $17.71        $18.06

                                                                  ______       ______        ______       ______       ______

   Investment Operations:

   Investment income--net                                            .82          .83          .85          .86           .88

   Net realized and unrealized gain (loss)
       on investments                                                .65          .41         (.22)         .34          (.31)

                                                                  ______       ______        ______       ______       ______

   Total from Investment Operations                                 1.47         1.24          .63         1.20           .57

                                                                  ______       ______        ______       ______       ______

   Distributions:

   Dividends from investment income--net                            (.82)        (.83)        (.85)        (.86)         (.89)

   Dividends from net realized gain on investments                  (.09)        (.18)          --           --          (.03)

                                                                  ______       ______        ______       ______       ______

   Total Distributions                                              (.91)       (1.01)        (.85)        (.86)         (.92)

                                                                  ______       ______        ______       ______       ______

   Net asset value, end of period                                 $18.62       $18.06       $17.83       $18.05        $17.71

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


TOTAL INVESTMENT RETURN                                            8.25%        7.12%        3.52%        7.04%         3.11%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets                          .80%         .80%         .84%         .96%          .89%

   Ratio of net investment income
       to average net assets                                       4.44%        4.64%        4.69%        4.91%         4.81%

   Decrease reflected in above expense ratios
       due to undertakings by manager                               .15%         .16%         .12%          --           .08%

   Portfolio Turnover Rate                                        42.40%       45.29%       47.48%       29.78%        20.19%

   Net assets, end of period (000's Omitted)                   $365,481     $357,530     $365,148     $359,199      $392,143

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  New York Tax Exempt Intermediate Bond Fund (the "Fund") is registered
under  the  Investment Company Act of 1940 ("Act") as a non-diversified open-end
management  investment  company.  The  Fund's investment objective is to provide
investors  with  as high a level of current income exempt from Federal, New York
State  and  New York City income taxes as is consistent with the preservation of
capital.  The  Dreyfus  Corporation  ("Manager") serves as the Fund's investment
adviser.  The Manager is a direct subsidiary of Mellon Bank, N.A. Premier Mutual
Fund Services, Inc. (the "Distributor") is the distributor of the Fund's shares,
which are sold to the public without a sales load.

  The  Fund' s  financial  statements  are prepared in accordance with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

  (A)  PORTFOLIO  VALUATION:  Investments in securities 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.

(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. Under the terms of the custodian
agreement,  the  Fund received net earnings credits of $24,733 during the period
ended  May  31,  1998  based  on available cash balances left on deposit. Income
earned under this arrangement is included in interest income.

  The  Fund  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 Fund.

  (C)  DIVIDENDS  TO  SHAREHOLDERS:  It  is  the  policy  of the Fund to declare
dividends  daily  from  investment  income-net. Such dividends are paid monthly.
Dividends  from  net  realized  capital  gain  are  normally  declared  and paid
annually, but the Fund may make distributions on a more frequent basis to comply
with  the  distribution requirements of the Internal Revenue Code. To the extent
that net realized capital gain can be offset by capital loss carryovers, if any,
it is the policy of the Fund not to distribute such gain.

  (D)  FEDERAL INCOME TAXES: It is the policy of the Fund 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--BANK LINE OF CREDIT:

  The  Fund  participates  with  other  Dreyfus-managed  funds in a $600 million
redemption  credit  facility  (" Facility" ) to  be  utilized  for  temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the Fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to the Fund at rates DREYFUS NEW YORK TAX
EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

based on prevailing market rates in effect at the time of borrowings. During the
period ended May 31, 1998, the Fund did not borrow under the Facility.

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

  (A)  Pursuant  to  a  management agreement ("Agreement") with the Manager, the
management  fee  is computed at the annual rate of .60 of 1% of the value of the
Fund' s  average daily net assets and is payable monthly. The Agreement provides
that if in any full fiscal year the aggregate expenses of the Fund, exclusive of
taxes,  brokerage,  interest  on  borrowings,  commitment fees and extraordinary
expenses,  exceed 11-1/2% of the value of the Fund's average daily net assets,
the Fund  may  deduct  from  payments to be made to the Manager, or the Manager
will bear  such  excess expense. The Manager has undertaken from June 1, 1997
hrough May  31,  1998 to reduce the management fee paid by the Fund, to the
extent that the Fund's aggregate annual expenses (exclusive of certain expenses
as described above)  exceed  an  annual  rate of .80 of 1% of the value of the
Fund's average daily  net assets. The reduction in management fee, pursuant
to the undertaking,
amounted to $547,047 during the period ended May 31, 1998.

  (B)  Under  the Service Plan (the "Plan") adopted pursuant to rule 12b-1 under
the Act, the Fund (a) reimburses the Distributor for payments to certain Service
Agents   (a   securities   dealer,   financial  institution  or  other  industry
professional)  for  distributing  the  Fund' s  shares and servicing shareholder
accounts  ("Servicing") and (b) pays the Manager, Dreyfus Service Corporation, a
wholly-owned   subsidiary   of  the  Manager,  or  any  affiliate  (collectively
"Dreyfus") for advertising and marketing relating to the Fund and for Servicing,
at  an  annual  rate  of  .25 of 1% of the value of the Fund's average daily net
assets. Both the Distributor and Dreyfus may pay Service Agents a fee in respect
of  the  Fund' s  shares owned by shareholders with whom the Service Agent has a
servicing  relationship or for whom the Service Agent is the dealer or holder of
record.  Both  the  Distributor  and Dreyfus determine the amounts to be paid to
Service  Agents  to  which  it  will  make  payments and the basis on which such
payments  are  made.  The Plan also separately provides for the Fund to bear the
costs of preparing, printing and distributing certain of the Fund's prospectuses
and  statements of additional information and costs associated with implementing
and  operating  the Plan, not to exceed the greater of $100,000 or .005 of 1% of
the  Fund's average daily net assets for any full fiscal year. During the period
ended May 31, 1998, the Fund was charged $909,683 pursuant to the Plan.

  The  Fund compensates Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the Fund. During the period
ended  May  31,  1998,  the  Fund  was charged $134,225 pursuant to the transfer
agency agreement.

  (C)  Each  trustee  who  is  not an "affiliated person" as defined in the Act,
receives from the Fund an annual fee of $2,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

  (D)  A  1%  redemption  fee  is  charged  and  retained by the Fund on certain
redemptions  of  Fund  shares (including redemptions through the use of the Fund
Exchanges  service)  where the shares being redeemed were issued subsequent to a
specified effective date and the redemption or exchange occurs less than fifteen
days  following  the  date  of  issuance.  During the period ended May 31, 1998,
redemption fees amounted to $996.

NOTE 4--SECURITIES TRANSACTIONS:

  The  aggregate  amount  of  purchases  and  sales  of  investment  securities,
excluding  short-term  securities, during the period ended May 31, 1998 amounted
to $149,894,626 and $152,709,735, respectively.

  At  May  31,  1998, accumulated net unrealized appreciation on investments was
$19,247,353, consisting of $19,315,921 gross unrealized appreciation and $68,568
gross unrealized depreciation.

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

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF TRUSTEES

DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND

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

  We  conducted  our  audits  in  accordance  with  generally  accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included confirmation of
securities  owned  as  of  May 31, 1998 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
Dreyfus  New York Tax Exempt Intermediate Bond Fund at May 31, 1998, the results
of  its  operations  for  the year then ended, the changes in its net assets for
each of the two years in the period then ended, and the financial highlights for
each  of  the  indicated years, in conformity with generally accepted accounting
principles.


[Ernst & Young, LLP signature logo]


New York, New York

July 1, 1998



DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
- -----------------------------------------------------------------------------

IMPORTANT TAX INFORMATION (UNAUDITED)

  In  accordance  with  Federal  tax  law,  the  Fund hereby makes the following
designations regarding its fiscal year ended May 31, 1998:

  --all  the  dividends  paid  from  investment  income-net are "exempt-interest
dividends" (not subject to regular Federal and, for individuals who are New York
residents, New York State and New York City personal income taxes), and

  --the  Fund  hereby  designates  $.0467  per share as a long-term capital gain
distribution (of which 32.54% is subject to the 20% maximum Federal tax rate) of
the $.0850 per share paid on December 4, 1997.

  As  required  by Federal tax law rules, shareholders will receive notification
of  their  portion of the Fund's taxable ordinary dividends (if any) and capital
gains  distributions  (if  any) paid for the 1998 calendar year on Form 1099-DIV
which will be mailed by January 31, 1999.

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

[dreyfus logo]                                   (reg.tm)

DREYFUS NEW YORK TAX EXEMPT

INTERMEDIATE BOND FUND

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

Dreyfus Transfer, Inc.

P.O. Box 9671

Providence, RI 02940
Printed in U.S.A.                                              705AR985

New York

Tax Exempt

Intermediate

Bond Fund

Annual Report

May 31, 1998



COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT
IN DREYFUS NEW YORK TAX EXEMPT INTERMEDIATE BOND FUND
AND THE LEHMAN BROTHERS 10-YEAR MUNICIPAL BOND INDEX


EXHIBIT A:

                                            DREYFUS NEW YORK
               LEHMAN BROTHERS               TAX EXEMPT
 PERIOD        10-YEAR MUNICIPAL            INTERMEDIATE
               BOND INDEX *                  BOND FUND

5/31/88         10,000                           10,000
5/31/89         10,982                           10,924
5/31/90         11,790                           11,600
5/31/91         13,015                           12,660
5/31/92         14,225                           13,890
5/31/93         15,978                           15,449
5/31/94         16,525                           15,930
5/31/95         18,010                           17,051
5/31/96         18,862                           17,651
5/31/97         20,403                           18,907
5/31/98         22,296                           20,468


*Source: Lehman Brothers



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