VALUE LINE NEW YORK TAX EXEMPT TRUST
N-30D, 1998-10-27
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================================================================================

                               ------------------
                               SEMI-ANNUAL REPORT
                               ------------------
                                 August 31, 1998
                               ------------------


                                   Value Line
                                    New York
                                   Tax Exempt
                                      Trust





                                     [LOGO]
                                   ----------
                                   VALUE LINE
                                     No-Load
                                     Mutual
                                      Funds





<PAGE>

Value Line New York Tax Exempt Trust

                                                      To Our Value Line New York
- --------------------------------------------------------------------------------

To Our Shareholders:

The primary  objective of the Value Line New York Tax Exempt Trust is to provide
investors  with  maximum  income  exempt from New York State,  New York City and
federal personal income taxes,  without undue risk to principal.  During the six
months  ended  August 31, 1998,  the Trust's  total return was 3.23%.  Since its
inception  in  July,  1987,  the  total  return  for  the  Trust,  assuming  the
reinvestment  of all  dividends  over that  period,  has been  124.35%.  This is
equivalent to an average annual total return of 7.50%. Your Trust's total return
for the January 1, 1998  through  August 31,  1998 period was 4.22%  compared to
4.54% for the Lehman Brothers Municipal Bond Index during this same time period.

During the six months ended August 31, 1998,  prices of fixed-income  securities
increased as interest  rates  plummeted to record  lows.  Long-term,  tax-exempt
interest  rates,  as measured by the Bond Buyer's Index 40-Bond Index,  declined
from 5.24% on February  27, 1998 to 5.11% on August 31,  1998.  During this same
period,  long-term  taxable  rates,  as measured by the 30-year  Treasury  bond,
declined from 5.92% to 5.27%. The subdued inflationary environment,  the Federal
surplus, and the Asian crisis have contributed to the decline in interest rates.

With fewer bonds being issued by the Treasury,  long-term  Treasury  yields have
declined to new lows.  At the same time,  the number of new issues of tax-exempt
bonds has  increased  to near record  highs.  As a result,  Treasury  bonds have
significantly  outperformed tax-exempt bonds during the past six months. For the
year to date ending  (through  August 31, 1998),  the Lehman Treasury Bond Index
was up 7.20% compared to 4.54% for the Lehman Municipal Bond Index.*

In this  environment of declining  interest rates,  your Trust's  management has
maintained  the  average  maturity  of the  portfolio  to  about  13  years  and
emphasized  the  purchase of  high-grade  bonds which can not be redeemed by the
issuer prior to maturity for at least ten years.  Management  continues to avoid
securities  rated below  investment  grade  (defined as Baa or higher by Moody's
Investors Service and as BBB or higher by Standard & Poor's Corporation).  As of
August 31, 1998, the market value of the Trust's portfolio  consisted of 60% AAA
bonds,  22% AA bonds, 9% A bonds,  and 9% Baa or BBB rated bonds.  New York City
was  upgraded  to an  A-rated  bond this  year.  About 27% of the  portfolio  is
invested in bonds which cannot be redeemed by the issuer prior to maturity.  The
portfolio's   highest   concentrations   of  investments  are  in  the  insured,
hospital-revenue,  housing-revenue,  education-revenue,  and general  obligation
sectors, respectively.

The municipal bond market is one of the most  fragmented and complex  sectors of
the American  capital markets.  We believe that most investors  seeking tax-free
income are best served by investing in a mutual fund, whose  advantages  include
professional  management,  diversification,  liquidity,  low transaction  costs,
accurate  record-keeping,  automatic reinvestment of dividends, and availability
in small- dollar amounts. In addition to these features, The Value Line New York
Tax Exempt Trust has the additional advantage of carrying no sales or redemption
fees; it is a true no-load fund.

- --------------------------------------------------------------------------------
2

<PAGE>

                                            Value Line New York Tax Exempt Trust

Tax Exempt Trust Shareholders
- --------------------------------------------------------------------------------

We thank you for your  continued  confidence in Value Line,  and look forward to
serving your investment needs in the future.

                                    Sincerely,

                                    /s/ Jean Bernhard Buttner

                                    Jean Bernhard Buttner
                                    Chairman and President

October 16, 1998


Economic Observations

The U.S.  economy  has  slowed  considerably  since the early part of this year,
principally  as a result of the fallout from the series of financial  crises now
engulfing the Pacific Rim,  Russia,  and parts of Latin America.  As such,  this
nation's  gross  domestic  product,  which  expanded at better than at a 5% rate
early in the year,  is currently  proceeding at just about a third of that pace.
Moreover,  the figures  released in recent weeks,  including  those  relating to
manufacturing,  housing, retailing, and employment do not suggest that we'll see
any appreciable  strengthening  in economic  activity over the next three to six
months.

At this  point,  though,  we do not  believe  that this  slower pace of economic
activity is the opening act in a serious domestic business  downturn.  Our sense
is that the global  crisis will  gradually  recede over the next 12 to 18 months
and that the continuing modest level of inflation in this country will encourage
the Federal Reserve Board, which has already reduced  short-term  interest rates
in recent weeks, to relax the credit reins again--perhaps before year end.

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

*    The Lehman  Brothers  Municipal  Bond Index is a  total-return  performance
     benchmark  for the  long-term,  investment-grade,  tax-exempt  bond market.
     Investment-grade  bonds are rated Baa or higher by Moody's or BBB or higher
     by Standard & Poor's.  Returns and  attributes for the index are calculated
     semi-monthly using  approximately  25,000 municipal bonds, which are priced
     by Muller  Data  Corporation.  The  returns  for the  Index do not  reflect
     expenses, which are deducted from the Fund's returns.

Performance Data:*
                                                                   Growth of
                                                  Average         an Assumed
                                                  Annual         Investment of
                                               Total Return         $10,000
                                               ------------      -------------
 1 year ended 6/30/98.....................         8.41%            $10,841
 5 years ended 6/30/98....................         5.36%            $12,985
10 years ended 6/30/98....................         7.61%            $20,825

*    The performance data quoted represent past performance and are no guarantee
     of future  performance.  The average annual total return includes dividends
     reinvested  and  capital-gains   distributions   accepted  in  shares.  The
     investment  return and principal  value of an investment  will fluctuate so
     that an  investment,  when  redeemed,  may be worth  more or less  than its
     original cost. The average annual total return for the one-year, five-year,
     and ten-year  periods ended August 31, 1998, were 8.44%,  5.24%, and 7.72%,
     respectively.

- --------------------------------------------------------------------------------
                                                                               3

<PAGE>

Value Line New York Tax Exempt Trust

<TABLE>
<CAPTION>
Schedule of Investments (unaudited)
- --------------------------------------------------------------------------------------------------------
 Principal
  Amount                                                                          Rating         Value
- --------------------------------------------------------------------------------------------------------
<S>          <C>                                                                  <C>        <C>
LONG-TERM MUNICIPAL SECURITIES (94.2%)

             NEW YORK STATE (77.8%)
 $1,000,000  Albany County, General Obligations, 5.75%, 6/1/11.................   Aaa        $ 1,091,980
             Dormitory Authority, Revenue:
  1,000,000    Bishop Henry B. Hucles Nursing Home, 5.625%, 7/1/18.............   Aa1          1,046,430
    500,000    Champlain Valley Hospitals, 6.00%, 7/1/10.......................   AAA*           572,155
               City University System, Ser. 1:
    500,000      5.00%, 7/1/10.................................................   Aaa            520,845
    500,000      Third, 5.00%, 7/1/10..........................................   Aaa            519,220
  1,000,000    Eger Health Center, 4.90%, 2/1/13...............................   AAA*           998,930
    500,000    Hospital for Special Surgery, 4.90%, 2/1/11.....................   Aaa            510,870
    625,000    Lakeside Nursing Home, 5.15%, 2/1/07............................   AAA*           660,356
    555,000    Long Island University, Asset Guaranty, 5.50%, 9/1/10...........   AA*            598,234
    750,000    Lutheran Nursing Home, 5.125%, 2/1/18...........................   Aaa            754,290
    250,000    North Shore Hospital, Plainview, 5.50%, 11/1/14.................   Aaa            270,680
    500,000    Rochester Institute of Technology, 5.30%, 7/1/17................   Aaa            517,730
    500,000    St. Barnabas Hospital, 5.35%, 8/1/17............................   Aaa            515,580
  1,480,000    St. Clares Hospital, Ser. B, 5.25%, 2/15/15.....................   Baa1         1,497,760
               State University Educational Facilities:
  1,000,000      5.00%, 5/15/12................................................   A3           1,016,520
    985,000      5.00%, 5/15/17................................................   A3             980,193
    500,000    W.K. Nursing Home Corp., 5.75%, 2/1/10..........................   AAA*           545,095
    700,000  East Rochester, Housing Authority, Mortgage Revenue,
               St. Johns Meadows, Ser. A, 5.05%, 8/1/07  ......................   AAA*           734,818
  1,000,000  Environmental Facilities Corp., Pollution Control Revenue, Water,
               Revolving Fund, Ser. E, 4.90%, 6/15/10  ........................   Aaa          1,029,650
  1,730,000  Local Government Assistance Corp., Refunding,
               Ser. B, 4.80%, 4/1/11  .........................................   Aaa          1,760,742
             Medical Care Facilities Finance Agency, Revenue, Refunding,
               Presbyterian Hospital, Ser. A:
    160,000      5.10%, 8/15/10................................................   Aa2            165,099
  1,100,000      5.25%, 8/15/14................................................   Aa2          1,135,563
    700,000    Saint Mary's Hospital, Ser. A, 6.00%, 11/1/09...................   Aaa            772,324
             Mortgage Agency, Revenue Refunding, Homeowner Mortgage:
    370,000    Ser. 72, 4.95%, 4/1/11..........................................   Aa2            372,283
    525,000    Ser. 61, 5.60%, 10/1/11.........................................   Aa2            546,268
  1,000,000    Ser. 55, 5.95%, 10/1/17.........................................   Aa2          1,061,420
</TABLE>


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4


<PAGE>


                                            Value Line New York Tax Exempt Trust

<TABLE>
<CAPTION>
                                                                                         August 31, 1998
- --------------------------------------------------------------------------------------------------------
 Principal
  Amount                                                                          Rating         Value
- --------------------------------------------------------------------------------------------------------
<S>          <C>                                                                  <C>        <C>
$ 1,000,000  Nassau County, General Obligation, Improvements,
               Ser. Z, 5.00%, 9/1/12  .........................................   Aaa        $ 1,029,130
  1,000,000  Niagara Falls, Water Treatment Plant, 7.25%, 11/1/11..............   Aaa          1,262,870
    890,000  Onondaga County, General Obligations, Ser. A, 5.85%, 5/1/10.......   Aa2            971,284
  1,000,000  Power Authority, Revenue & General Purpose,
               Ser. A, 4.90%, 2/15/12  ........................................   Aa3          1,016,120
  1,000,000  Syracuse, Housing Authority, Mortgage Revenue, Loretto Rest Home,
               Ser. A, 5.60%, 8/1/17  .........................................   AAA*         1,050,600
    520,000  Thruway Authority, Highway & Bridge Trust Fund,
               Ser. B, 5.00%, 4/1/10  .........................................   Aaa            540,436
    500,000  Urban Development Corp., Refunding, Corporate Purpose,
               Senior Lien, 5.125%, 1/1/09 ....................................   Aaa            528,245
                                                                                             -----------

             TOTAL NEW YORK STATE ..............................................              26,593,720
                                                                                             -----------

             NEW YORK CITY (14.8%) General Obligation:
     55,000    Ser. F, 6.50%, 2/15/08..........................................   A3              61,943
  1,000,000    Ser. G, Refunding, 5.00%, 8/1/10................................   Aaa          1,038,420
  1,000,000    Ser. D, Refunding, 5.00%, 8/1/11................................   A3           1,018,860
  1,500,000  Housing Development Corp., Multi-Family Housing Revenue,
               Ser. A, 5.625%, 5/1/12  ........................................   Aa           1,566,375
             Industrial Development Agency:
               Civic Facilities Revenue:
    500,000      College of Aeronautics Project, 5.45%, 5/1/18.................   BBB*           514,320
    500,000      USTA National Tennis Center Project, 6.40%, 11/15/08..........   Aaa            570,185
    250,000  Industrial Development Revenue, Brooklyn Navy Yard,
               Cogen Partners, 6.20%, 10/1/22  ................................   Baa3           280,395
                                                                                             -----------

             TOTAL NEW YORK CITY ...............................................               5,050,498
                                                                                             -----------

             PUERTO RICO (1.6%)
    500,000  Electric Power Authority, Power Revenue,
               Ser. T, 6.125%, 7/1/09  ........................................   Baa1           550,855
                                                                                             -----------

             TOTAL LONG-TERM MUNICIPAL SECURITIES ..............................              32,195,073
                                                                                             -----------
</TABLE>

- --------------------------------------------------------------------------------
                                                                               5

<PAGE>

Value Line New York Tax Exempt Trust

<TABLE>
<CAPTION>
Schedule of Investments (unaudited)                                                      August 31, 1998
- --------------------------------------------------------------------------------------------------------
 Principal
  Amount                                                                          Rating         Value
- --------------------------------------------------------------------------------------------------------
<S>          <C>                                                                  <C>        <C>
SHORT-TERM MUNICIPAL SECURITIES (4.9%)

             NEW YORK STATE (2.9%)
$ 1,000,000  Energy Research & Development Authority, Pollution Control Revenue,
               Niagara Mohawk Power, Ser. A, 3.85%, 12/1/23....................   A2(1)      $ 1,000,000
                                                                                             -----------

             NEW YORK CITY (2.0%)
    700,000  General Obligations, Subser. A-8, 3.30%, 8/1/18...................   VMIG1(1)       700,000
                                                                                             -----------

             TOTAL SHORT-TERM MUNICIPAL SECURITIES .............................               1,700,000
                                                                                             -----------

             TOTAL MUNICIPAL SECURITIES (99.1%)
               (Cost $32,288,752) ..............................................              33,895,073

             EXCESS OF CASH AND OTHER ASSETS
               OVER LIABILITIES (.9%)  .........................................                 291,829
                                                                                             -----------

             NET ASSETS (100.0%) ...............................................             $34,186,902
                                                                                             ===========

             NET ASSET VALUE, OFFERING AND REDEMPTION PRICE,
               PER OUTSTANDING SHARE  ..........................................             $     10.63
                                                                                             ===========
</TABLE>

Rated by Moody's  Investors  Service  except for those marked by an asterisk (*)
which are rated by Standard & Poor's.

Variable rate demand notes are considered short-term obligations. Interest rates
change every (1) day.  These  securities are secured by either letters of credit
or other credit support agreements from banks. The rates listed are as of August
31, 1998.



See Notes to Financial Statements

- --------------------------------------------------------------------------------
6

<PAGE>

                                            Value Line New York Tax Exempt Trust

Statement of Assets and Liabilities
at August 31, 1998 (unaudited)
- --------------------------------------------------------------------------------

                                                                    Dollars
                                                                 (in thousands
                                                                except per-share
                                                                     amount)
                                                                ----------------
Assets:
Investment securities, at value
  (Cost $32,289) .............................................       $33,895
Cash .........................................................            28
Interest receivable ..........................................           356
Receivable for capital shares sold ...........................            16
                                                                     -------
    Total Assets .............................................        34,295
                                                                     -------
Liabilities:
Dividends payable to shareholders ............................            37
Accrued expenses:
  Advisory fee ...............................................            17
  Other ......................................................            54
                                                                     -------
    Total Liabilities ........................................           108
                                                                     -------
Net Assets: ..................................................       $34,187
                                                                     =======
Net Assets:
Capital stock, at $.01 par value
  (authorized unlimited,
  outstanding 3,215,418
  shares of beneficial interest) .............................       $    32
Additional paid-in capital ...................................        31,272
Accumulated net realized gain
  on investments .............................................         1,277
Unrealized net appreciation of
  investments ................................................         1,606
                                                                     -------
Net Assets ...................................................       $34,187
                                                                     =======
Net Asset Value, Offering and
  Redemption Price, per
  Outstanding Share ..........................................       $ 10.63
                                                                     =======

Statement of Operations
for the Six Months Ended August 31, 1998 (unaudited)
- --------------------------------------------------------------------------------

                                                                    Dollars
                                                                (in thousands)
                                                                -------------- 

Investment Income:
Interest ....................................................       $   868
                                                                    -------
Expenses:
Advisory fee ................................................           103
Auditing and legal fees .....................................            22
Trustees' fees and expenses .................................             8
Custodian fees ..............................................             7
Transfer agent fees .........................................             6
Printing and stationery .....................................             4
Other .......................................................            18
                                                                    -------
    Total Expenses before
      custody credits .......................................           168
    Less: custody credits ...................................            (2)
                                                                    -------
    Net Expenses ............................................           166
                                                                    -------

Net Investment Income .......................................           702
                                                                    -------

Net Realized and Unrealized Gain on
  Investments:
    Net Realized Gain .......................................           237
    Change in Unrealized
      Appreciation ..........................................           140
                                                                    -------

Net Realized Gain and Change in
  Unrealized Appreciation
  on Investments ............................................           377
                                                                    -------

Net Increase in Net Assets
  from Operations ...........................................       $ 1,079
                                                                    =======


See Notes to Financial Statements.


- --------------------------------------------------------------------------------
                                                                               7

<PAGE>

Value Line New York Tax Exempt Trust

<TABLE>
<CAPTION>
Statement of Changes in Net Assets
for the Six Months Ended August 31, 1998 (unaudited), and for the Year Ended February 28, 1998
- -------------------------------------------------------------------------------------------------------
                                                                        Six Months Ended    Year Ended
                                                                         August 31, 1998   February 28,
                                                                          (unaudited)          1998
                                                                        -------------------------------
                                                                            (Dollars in thousands)
<S>                                                                            <C>            <C>    
Operations:
  Net Investment income ...............................................     $    702         $  1,456
  Net Realized gain on investments.....................................          237            1,147
  Change in net unrealized appreciation ...............................          140              380
                                                                            --------------------------
  Net increase in net assets from operations...........................        1,079            2,983
                                                                            --------------------------

Distributions to Shareholders:
  Net investment income ...............................................         (702)          (1,451)
                                                                            --------------------------

Trust Share Transactions:
  Net proceeds from sale of shares ....................................        1,569            3,531
  Net proceeds from reinvestment of distribution to shareholders.......          476              986
  Cost of shares repurchased...........................................       (2,832)          (4,197)
                                                                            --------------------------
  Net (decrease) increase in net assets from Trust share transactions .         (787)             320
                                                                            --------------------------

Total (Decrease) Increase in Net Assets ...............................         (410)           1,852

Net Assets:
  Beginning of period .................................................       34,597           32,745
                                                                            --------------------------
  End of period  ......................................................     $ 34,187         $ 34,597
                                                                            ==========================
</TABLE>


See Notes to Financial Statements.

- --------------------------------------------------------------------------------
8

<PAGE>

                                            Value Line New York Tax Exempt Trust

Notes to Financial Statements (unaudited)                        August 31, 1998
- --------------------------------------------------------------------------------

1.   Significant Accounting Policies

Value  Line New York Tax Exempt  Trust (the  "Trust")  is  registered  under the
Investment  Company Act of 1940,  as  amended,  as a  non-diversified,  open-end
management  investment  company.  The  investment  objective  of the Trust is to
provide New York  taxpayers  with the maximum income exempt from New York State,
New York City, and federal individual income taxes, while avoiding undue risk to
principal.  The Trust will  invest  primarily  in New York State  municipal  and
public-authority debt obligations.  The ability of the issuers of the securities
held by the Trust to meet their  obligations  may be  affected  by  economic  or
political  developments  in New York  State  and New York  City.  The  following
significant  accounting  policies  are in  conformity  with  generally  accepted
accounting principles for investment  companies.  Such policies are consistently
followed by the Trust in the preparation of its financial statements.  Generally
accepted  accounting  principles  may require  management to make  estimates and
assumptions  that affect the reported  amounts and  disclosures in the financial
statements. Actual results may differ from those estimates.

(A) Security Valuation:  The Trust's investments are valued each business day by
an independent pricing service ("Service") approved by the Trustees. Investments
for which quoted bid prices in the judgment of the Service are readily available
and are  representative  of the bid side of the market are valued at  quotations
obtained by the  Service  from  dealers in such  securities.  Other  investments
(which  constitute  a majority of the  portfolio  securities)  are valued by the
Service,  based on methods  that  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.

Short-term  instruments  maturing  within 60 days are valued at amortized  cost,
which  approximates  value.  Other assets and securities for which no quotations
are readily available are valued in good faith at their fair value using methods
determined by the Trustees.

(B)  Distributions:  It is the  policy  of the  Trust to  distribute  all of its
investment  income to  shareholders.  Dividends from net  investment  income are
declared  daily and paid  monthly.  Net  realized  capital  gains,  if any,  are
distributed  to  shareholders  annually.   Income  dividends  and  capital-gains
distributions  are  automatically  reinvested in additional  shares of the Trust
unless the  shareholder has requested  otherwise.  Income earned by the Trust on
weekends,  holidays, and other days on which the Trust is closed for business is
declared as a dividend on the next day on which the Trust is open for business.

The amount of dividends and  distributions  from net  investment  income and net
realized  capital gains are  determined in  accordance  with federal  income-tax
regulations,  which may differ from generally  accepted  accounting  principles.
These  "book/tax"  differencs  are either  considered  temporary or permanent in
nature, such amounts are reclassified within the capital accounts based on their
federal tax-basis treatment. In the current year, distributions in excess of net
investment  income  of  $19,632  were  reclassified  to  paid-in  capital.   Net
investment income, net realized gains/losses and net assets were not affected by
this reclassification. Temporary differences do not require reclassification.

(C)  Federal  Income  Taxes:  It is the  policy  of the  Trust to  qualify  as a
regulated  investment company,  which can distribute  tax-exempt  dividends,  by
complying  with the provisions  available to certain  investment  companies,  as
defined in applicable  sections of the Internal  Revenue Code, and to distribute
all of its investment income and capital gains to its  shareholders.  Therefore,
no federal income-tax or excise-tax provision is required.

(D) Investments:  Securities  transactions  are recorded on a trade-date  basis.
Realized  gains and losses  from  securities  transactions  are  recorded on the
identified-cost basis. Interest income, adjusted for amortization of premium and
accretion of original-issue  discounts on investments in accordance with federal
income-tax  regulations,  is earned from  settlement  date and recognized on the
accrual basis.

- --------------------------------------------------------------------------------
                                                                               9


<PAGE>

Value Line New York Tax Exempt Trust

Notes to Financial Statements (unaudited)                        August 31, 1998
- --------------------------------------------------------------------------------

Additionally,  when  appropriate,  the Trust recognizes market discount when the
securities are disposed.

Securities  purchased or sold on a when-issued or delayed-delivery  basis may be
settled a month or more after the trade date.

2.   Trust Share Transactions

Transactions in shares of beneficial interest were as follows:

                                   Six Months
                                      Ended          Year
                                    August 31,      Ended
                                       1998       February 28,
                                   (unaudited)       1998
                                   ---------------------------
                                          (in thousands)
Shares sold .......................     150             345
Shares issued to shareholders      
  in reinvestment of
  distributions....................      45              96
                                       ---------------------
                                        195             441

Shares repurchased ................    (271)           (410)
                                       ---------------------
Net (decrease) increase ...........     (76)             31
                                       =====================

3.   Purchases and Sales of Securities

Purchases and sales of municipal securities were as follows:

                                                                 Six Months
                                                                    Ended
                                                              August 31, 1998
                                                                 (unaudited)
                                                              ---------------
                                                               (in thousands)
Purchases:
  Long-term obligations ...................................        $11,508
  Short-term obligations ..................................          7,003
                                                                   -------
                                                                   $18,511
                                                                   =======

MATURITIES OR Sales:
  Long-term obligations ...................................        $12,259
  Short-term obligations ..................................          6,902
                                                                   -------
                                                                   $19,161
                                                                   =======

At August 31, 1998,  the aggregate cost of  investments  for federal  income-tax
purposes  was  $32,288,752.  The  aggregate  appreciation  and  depreciation  of
investments at August 31, 1998,  based on a comparison of investment  values and
their  costs  for  federal  income-tax  purposes,  was  $1,607,391  and  $1,070,
respectively,  resulting in a net  appreciation  of $1,606,321.  During the year
ended  February  28,  1998,  the Trust  utilized  $107,675 of capital loss carry
overs.

4.   Investment Advisory Contract and Transactions With Affiliates

An  advisory  fee of  $103,095  was paid or payable  to Value  Line,  Inc.  (the
Adviser) for the six months ended August 31, 1998. This was computed at the rate
of 0.6 of 1% per year of the  Trust's  average  daily net assets for the period.
The Adviser  provides  research,  investment  programs,  and  supervision of the
investment  portfolio and pays costs of administrative  services,  office space,
and  compensation  of  administrative,   bookkeeping,   and  clerical  personnel
necessary  for  managing  the affairs of the Trust.  The Adviser  also  provides
persons,  satisfactory to the Trustees, to act as officers of the Trust and pays
their  salaries  and wages.  The Trust bears all other costs and expenses in its
operation.

Certain  officers and  directors of the Adviser and its  subsidiary,  Value Line
Securities,  Inc. (the Trust's distributor and a registered broker/dealer),  are
also officers and a Trustee of the Trust.

At August 31, 1998, the Adviser owned 112,038  shares of beneficial  interest in
the Trust,  representing 3.5% of the outstanding  shares.  In addition,  certain
officers and Trustees  owned 21,125 shares of beneficial  interest in the Trust,
representing 0.7% of the outstanding shares.


- --------------------------------------------------------------------------------
10

<PAGE>

                                            Value Line New York Tax Exempt Trust

<TABLE>
<CAPTION>
Financial Highlights
- --------------------------------------------------------------------------------

Selected data for a share of beneficial interest outstanding throughout each period:

                                               Six Months
                                                  Ended                 Years Ended on Last Day of February
                                              August 31, 1998     -------------------------------------------------------------
                                                (unaudited)         1998          1997           1996         1995       1994
                                              ---------------------------------------------------------------------------------
<S>                                               <C>             <C>            <C>            <C>         <C>         <C>    
Net asset value, beginning
  of period ..................................    $ 10.51         $ 10.04        $ 10.28        $  9.81     $ 10.49     $ 10.84
                                                -------------------------------------------------------------------------------
  Income from investment
    operations:
    Net investment income ....................       .215            .445           .480           .491        .523        .570
    Net gains or losses on securities
      (both realized and unrealized) .........       .120            .469          (.113)          .470       (.611)       .062
                                                -------------------------------------------------------------------------------
    Total from investment
      operations .............................       .335            .914           .367           .961       (.088)       .632
                                                -------------------------------------------------------------------------------
  Less distributions:
    Dividends from net investment
      income .................................      (.215)          (.444)         (.480)         (.491)      (.523)      (.570)
    Distributions from capital gains .........         --              --          (.127)            --       (.069)      (.412)
                                                -------------------------------------------------------------------------------
      Total distributions ....................      (.215)          (.444)         (.607)         (.491)      (.592)      (.982)
                                                -------------------------------------------------------------------------------
Net asset value, end of period ...............    $ 10.63         $ 10.51        $ 10.04        $ 10.28     $  9.81     $ 10.49
                                                ===============================================================================
Total return .................................       3.23%+          9.31%          3.73%         10.00%       (.58%)      5.98%
                                                ===============================================================================

Ratios/Supplemental Data
Net assets, end of period
  (in thousands) .............................    $34,187         $34,597        $32,745        $40,169     $39,139     $44,190
Ratio of expenses to
  average net assets .........................        .98%(1)*        .92%(1)        .92%(1)        .92%        .86%        .87%
Ratio of net investment income to
  average net assets .........................       4.08%*          4.35%          4.79%          4.87%       5.36%       5.21%
Portfolio turnover rate ......................         36%+           116%            86%           119%        105%         54%
</TABLE>

+    Not annualized, for six month period only.

*    Annualized

(1)  Before offset for custody credits.


See Notes to Financial Statements

- --------------------------------------------------------------------------------
                                                                              11


<PAGE>

Value Line New York Tax Exempt Trust

                         The Value Line Family of Funds
- --------------------------------------------------------------------------------

1950--The  Value Line Fund seeks  long-term  growth of capital along with modest
current income by investing  substantially all of its assets in common stocks or
securities convertible into common stock.

1952--The Value Line Income Fund's primary  investment  objective is income,  as
high and dependable as is consistent with reasonable  growth.  Capital growth to
increase total return is a secondary objective.

1956--The Value Line Special Situations Fund seeks to obtain long-term growth of
capital by investing not less than 80% of its assets in "special situations". No
consideration is given to achieving current income.

1972--Value  Line Leveraged  Growth  Investors' sole investment  objective is to
realize  capital growth by investing  substantially  all of its assets in common
stocks.  The  Fund  may  borrow  up to 50% of its net  assets  to  increase  its
purchasing power.

1979--The  Value Line Cash Fund, a money market fund,  seeks high current income
consistent with preservation of capital and liquidity.

1981--Value  Line U.S.  Government  Securities Fund seeks maximum income without
undue risk to principal.  Under normal conditions,  at least 80% of the value to
its assets will be invested in issues of the U.S.  Government  and its  agencies
and instrumentalities.

1983--Value  Line Centurion Fund* seeks long-term  growth of capital as its sole
objective  by  investing  primarily  in stocks  ranked 1 or 2 by Value  Line for
year-ahead relative performance.

1984--The  Value Line Tax Exempt Fund seeks to provide  investors  with  maximum
income exempt from federal  income taxes while avoiding undue risk to principal.
The Fund offers  investors a choice of two portfolios:  a Money Market Portfolio
and a High-Yield Portfolio.

1985--Value  Line  Convertible  Fund seeks high  current  income  together  with
capital  appreciation  primarily from convertible  securities  ranked 1 or 2 for
year-ahead performance by the Value Line Convertible Ranking System.

1986--Value  Line  Aggressive  Income Trust seeks to maximize  current income by
investing in high-yielding, lower-rated, fixed-income corporate securities.

1987--Value  Line New York Tax Exempt Trust seeks to provide New York  taxpayers
with  maximum  income  exempt  from New York  State,  New York City and  federal
individual income taxes while avoiding undue risk to principal.

1987--Value Line Strategic Asset Management Trust* invests in stocks,  bonds and
cash equivalents according to computer trend models developed by Value Line. The
objective  is  to  professionally   manage  the  optimal   allocation  of  these
investments at all times.

1993--Value  Line  Small-Cap  Growth Fund invests  primarily in common stocks or
securities  convertible  into common  stock,  with its primary  objective  being
long-term growth of capital.

1993--Value  Line Asset  Allocation  Fund seeks  high total  investment  return,
consistent  with  reasonable  risk. The Fund invests in stocks,  bonds and money
market  instruments  utilizing  quantitative  modeling to determine  the correct
asset mix.

1995--Value  Line U.S.  Multinational  Company  Fund's  investment  objective is
maximum total return. It invests primarily in securities of U.S.  companies that
have significant sales from international operations.

*    Only available  through the purchase of Guardian  Investor,  a tax deferred
     variable annuity, or ValuePlus, a variable life insurance policy.

For more  complete  information  about any of the Value  Line  Funds,  including
charges and expenses,  send for a prospectus from Value Line  Securities,  Inc.,
220 East 42nd Street, New York, New York 10017-5891 or call  1-800-223-0818,  24
hours  a day,  7  days a  week,  or  visit  us at  www.valueline.com.  Read  the
prospectus carefully before you invest or send money.

- --------------------------------------------------------------------------------
12

<PAGE>
================================================================================

INVESTMENT ADVISER    Value Line, Inc.
                      220 East 42nd Street
                      New York, NY 10017-5891

DISTRIBUTOR           Value Line Securities, Inc.
                      220 East 42nd Street
                      New York, NY 10017-5891

CUSTODIAN BANK        State Street Bank and Trust Co.
                      225 Franklin Street
                      Boston, MA 02110

SHAREHOLDER           State Street Bank and Trust Co.
SERVICING AGENT       c/o NFDS
                      P.O. Box 419729
                      Kansas City, MO 64141-6729

INDEPENDENT           PricewaterhouseCoopers LLP
ACCOUNTANTS           1177 Avenue of the Americas
                      New York, NY 10036-2798

LEGAL COUNSEL         Peter D. Lowenstein, Esq.
                      Two Greenwich Plaza, Suite 100
                      Greenwich, CT 06830

TRUSTEES              Jean Bernhard Buttner
                      John W. Chandler
                      Leo R. Futia
                      David H. Porter
                      Paul Craig Roberts
                      Nancy-Beth Sheerr

OFFICERS              Jean Bernhard Buttner
                      Chairman and President
                      Raymond S. Cowen
                      Vice President
                      Charles Heebner
                      Vice President
                      David T. Henigson
                      Vice President and
                      Secretary/Treasurer
                      Jack M. Houston
                      Assistant Secretary/Treasurer
                      Stephen La Rosa
                      Assistant Secretary/Treasurer



The financial statements included herein have been taken from the records of the
Trust without examination by the independent accountants and, accordingly,  they
do not  express  an  opinion  thereon.  

This  unaudited  report is issued for  information  of  shareholders.  It is not
authorized  for  distribution  to  prospective   investors  unless  preceded  or
accompanied by a currently  effective  prospectus of the Trust  (obtainable from
the Distributor).
                                                                          501965



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