VALUE LINE TAX EXEMPT FUND INC
N-30D, 1998-10-27
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                               ------------------
                               SEMI-ANNUAL REPORT
                               ------------------
                                 August 31, 1998
                               ------------------

                                       The
                                   Value Line
                                   Tax Exempt
                                   Fund, Inc.





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

<PAGE>



The Value Line Tax Exempt Fund, Inc.

                                                               To Our Value Line
- --------------------------------------------------------------------------------

To Our Shareholders:

During  the past six months  (ended  August 31,  1998),  prices of  fixed-income
securities  have  increased as interest  rates have  plummeted to record lows in
some  cases.  Long-term,  tax-exempt  interest  rates,  as  measured by the Bond
Buyer's  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 numbers of new issues of tax-exempt
bonds  has  increased  to  near  record  levels.   Hence,  Treasury  bonds  have
significantly   outperformed  tax-exempt  bonds  during  the  past  six  months.
Year-to-date ending August 31, 1998, the Lehman Treasury Bond Index was up 7.20%
compared to 4.54% for the Lehman Municipal Bond Index.

High-Yield Portfolio

The primary  objective of the Value Line Tax Exempt  High-Yield  Portfolio is to
provide investors with maximum income exempt from federal income taxes,  without
undue risk to principal. During the six-months ended August 31, 1998, the fund's
total return was up 3.01%.  Since its inception in March, 1984, the total return
for the High-Yield  Portfolio,  assuming the  reinvestment of all dividends over
that period,  has been 221.11%,  which is equivalent to an average  annual total
return of 8.41%. The Fund's yield as of August 31, 1998 was 4.58%, significantly
higher than the  average  yield of 3.94% for all  general  municipal  bond funds
ranked by Lipper Analytical Services.

The Fund's total  return for the January 1, 1998 through  August 31, 1998 period
was 3.93% compared to 4.54% for the Lehman Brothers Municipal Bond Index* during
the same time period.  Investors  are reminded that your Fund's  performance  is
calculated after management fees and expenses are taken out, while the index has
no such charges.

Your Fund's management  continues to focus on bonds with high credit ratings and
which can not be  redeemed  by the  issuer  prior to  maturity  for at least ten
years.  Over 98% of your Fund's bonds are rated A or better by Moody's Investors
Service a Standard and Poor's  Corporation.  The  difference  in yields  between
high-grade and lower rated bonds has been narrow and management does not believe
that  purchasing  lower grade  securities  warrants  the risk.  The  portfolio's
highest  concentrations  of investments  are in the insured and  housing-revenue
sectors.

Money Market Portfolio

The objective of the Tax Exempt Money Market Portfolio is to preserve  principal
by investing in high-quality, tax-exempt short-term securities which have a high
degree of  liquidity  so as to ensure a  constant  net asset  value of $1.00 per
share.  The portfolio  consists  only of securities  which carry the highest two
ratings by Moody's  Investor  Services or Standard and Poor's  Corporation.  The
annualized yield was 2.52% as of August 31, 1998,  equivalent to a 4.17% taxable
yield for those in the 39.6% tax bracket.

Short-term  tax-exempt  rates,  as measured by the Bond  Buyer's  One-year  Note
Index,  decreased  from 3.56% on February  27, 1998 to 3.28% on August 31, 1998.
During this same period of time,  the yield on one-year  taxable  Treasury bills
declined from 5.40% to 4.85%.

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 Tax
Exempt Fund has the  additional  advantage  of  carrying no sales or  redemption
fees; it is a true no-load fund.

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2
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

Tax Exempt Fund Shareholders
- --------------------------------------------------------------------------------

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

                                   Sincerely,

                                   /s/ Jean Bernhard Buttner     

                                   Jean Bernhard Buttner
                                   Chairman and President

October 16, 1998

- ----------
*    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.

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.

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                                                                               3
<PAGE>

The Value Line Tax Exempt Fund, Inc.

To Our Value Line Tax Exempt Fund Shareholders
- --------------------------------------------------------------------------------

Performance Data:*

HIGH-YIELD PORTFOLIO                               

                                                                     Growth of
                                                   Average           an Assumed
                                                    Annual         Investment of
                                                 Total Return         $10,000
                                                 ------------      -------------
 1 year ended 6/30/98 ........................       8.07%            $10,807
 5 years ended 6/30/98 .......................       5.46%            $13,043
10 years ended 6/30/98 .......................       7.38%            $20,388
                                                             

MONEY MARKET PORTFOLIO

                                                                     Growth of
                                                   Average           an Assumed
                                                    Annual         Investment of
                                                 Total Return         $10,000
                                                 ------------      -------------

 1 year ended 6/30/98 ........................       2.69%            $10,269
 5 years ended 6/30/98 .......................       2.46%            $11,293
10 years ended 6/30/98 .......................       3.35%            $13,898
                                                                         
*    The performance data quoted represent past performance and are no guarantee
     of future  performance.  The average  annual total returns and growth of an
     assumed  investment of $10,000  include  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
     returns for the one-year,  five-year, and ten-year periods ended August 31,
     1998,  for the  High-Yield  Portfolio and the Money Market  Portfolio  were
     7.97%, 5.35%, and 7.46% and 2.68%, 2.49% and 3.30%, respectively.

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4
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

Schedule of Investments (unaudited)                              August 31, 1998
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                                Rating        Value
- ---------------------------------------------------------------------------------------------------------
<S>          <C>                                                                   <C>        <C>   
LONG-TERM MUNICIPAL SECURITIES (94.7%)
             Alabama (.7%)
 $1,250,000  Colbert County-Northwest, Health Care Authority, Hospital
              Revenue Refunding, Helen Keller Hospital, 8.75%, 6/1/09 .........    Baa        $ 1,354,538

             Alaska ( 9%)
             Housing Finance Corp :
    165,000  Collateral Mortgage Obligation, Veteran's 1st Ser., Veteran's
               Mortgage Program, 7.45%, 12/1/29 ...............................    Aaa            170,572
  1,500,000   Mortgage Revenue, Refunding, Ser. A-1, 5.50%, 12/1/17............    Aaa          1,546,860
                                                                                              -----------
                                                                                                1,717,432
             Arizona (1.8%)
  3,355,000  Maricopa County, Industrial Development Authority,
               Multi Family Housing, Revenue, Ser. A, 5.10%, 1/1/33 ...........    Aaa          3,338,594

             California (2.2%)
  3,670,000  Pleasant Hill, Redevelopment Agency, Residential Mortgage Revenue,
               Refunding, 5.75%, 8/1/11 .......................................    AA*          3,804,249
    350,000  Yuba County, Water Agency, Revenue, Yuba River Development,
               Pacific Gas & Electric, Ser. A, 4.00%, 3/1/16 ..................    A              333,613
                                                                                              -----------
                                                                                                4,137,862
             Colorado (2.5%)
  4,055,000  Denver, City & County, Single Family Mortgage Revenue,
               7.00%, 8/1/10 ..................................................    Aaa          4,721,804

             Florida (1.5%)
  2,790,000  Miami-Dade County, Solid Waste System, Revenue,
               4.875%, 10/1/13 ................................................    Aaa          2,829,367

             Georgia (.3%)
    545,000  Residential Finance Authority, Single Family Insured Mortgage,
               Revenue, Subser C, 8.00%, 12/1/16 ..............................    Aa             563,094

             Hawaii (4.1%)
  4,000,000  Department of Budget and Finance, Special Purpose Mortgage Revenue,
               Kapiolani Health Care System, 6.40%, 7/1/13 ....................    Aaa          4,663,760
  2,955,000  Housing Finance & Development Corp., Single Family Mortgage
               Revenue, Ser. A, 5.40%, 7/1/30 .................................    Aa1          2,970,159
                                                                                              -----------
                                                                                                7,633,919
</TABLE>
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                                                                               5
<PAGE>

The Value Line Tax Exempt Fund, Inc.

Schedule of Investments (unaudited) 
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                              Rating          Value
- ---------------------------------------------------------------------------------------------------------
 <S>         <C>                                                                   <C>        <C> 
             Illinois (6.5%)
             Chicago:
 $3,000,000    General Obligation, Project & Refunding, 5.25%, 1/1/28..........    Aaa        $ 3,039,390
  2,500,000    Sales Tax Revenue, Refunding, 5.25%, 1/1/28.....................    Aaa          2,532,825
  1,500,000  Educational Facilities Authority,
               Northwestern University, 5.25%, 11/1/32 ........................    Aa1          1,575,210
  4,500,000  Housing Development Authority, Multi Family,
               Ser. 91-A, 8.25%, 7/1/16 .......................................    A1           4,872,510
                                                                                              -----------
                                                                                               12,019,935

             Indiana (4.0%)
             Office Building Commission, Capital Complex, Revenue:
  2,875,000    Ser. D, 6.90%, 7/1/11...........................................    Aaa          3,907,800
  3,000,000    Ser. B, 7.40%, 7/1/15...........................................    Aaa          3,511,582
                                                                                              -----------
                                                                                                7,419,382
             Iowa (2.4%)
  1,475,000  Finance Authority, Single Family, Revenue Mortgage,
               Ser. B, 7.45%, 7/1/23 ..........................................    Aaa          1,559,090
  2,500,000  Muscatine, Electric Revenue, 6.70%, 1/1/13........................    Aaa          2,912,775
                                                                                              -----------
                                                                                                4,471,865
             Louisiana (1.1%)
  2,000,000  East Baton Rouge, Mortgage Finance Authority, Single Family,
               Revenue Refunding, Ser. B-2, 5.00%, 4/1/21 .....................    Aaa          2,000,820


             Maine (2.6%)
  1,000,000  Finance Authority, Revenue, Electric Rate Stabilization,
               Ser. B, 5.20%, 7/1/18, Ser. A, 7.50%, 1/1/19 ...................    Aaa          1,009,790
             Housing Authority, Mortgage Purchase Program:
    285,000    Ser. D-3, 8.15%, 11/15/11.......................................    Aa2            291,906
  2,800,000    Ser. D-4, 7.55%, 11/15/19.......................................    Aa2          2,959,292
    500,000  State Street Housing Preservation Corp., Multifamily Housing
               Revenue, 100 State Street Project, Ser. A, 7.50%, 1/1/19 .......    A*             539,960
                                                                                              -----------
                                                                                                4,800,948

             Massachusetts (5.8%)
             Housing Finance Agency:
  4,500,000    Housing Development, Ser. A, 5.375%, 6/1/16.....................    Aaa          4,560,300
  3,300,000    Housing Revenue, Single Family, Ser. 63, 5.15%, 12/1/12.........    Aaa          3,326,862
  2,710,000    Residential Development, Ser. H, 6.75%, 5/15/15.................    Aaa          2,931,597
                                                                                              -----------
                                                                                               10,818,759
</TABLE>
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6
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

                                                                 August 31, 1997
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                              Rating          Value
- ---------------------------------------------------------------------------------------------------------
 <S>         <C>                                                                   <C>        <C> 
             Michigan (1.7%)
             Housing Development Authority:
 $1,000,000    Ser. D, 5.55%, 12/1/12..........................................    Aaa        $ 1,036,340
  2,000,000    Ser. C, 5.95%, 12/1/14..........................................    AA+*         2,105,860
                                                                                              -----------
                                                                                                3,142,200

             Minnesota (1.5%)
  2,660,000   Housing Finance Agency, Refunding, Rental Housing,
               Ser. D, 5.80%, 8/1/11 ..........................................    Aaa          2,793,426

             Nebraska (1.5%)
  2,660,000  Investment Finance Authority, Single Family Mortgage,
               Revenue, Ser. A, 5.977%, 9/30/16 ...............................    Aaa          2,807,098

             New Hampshire (.1%)
    170,000   Housing Finance Authority, Single Family Residential Mortgage,
               Ser. B, 7.75%, 7/1/23 ..........................................    Aa             181,188

             New York (4.7%)
             New York City:
    630,000    General Obligations, Ser. F, 8.20%, 11/15/04....................    A3             715,907
             New York State:
  2,000,000    Dormitory Authority, Revenue, Bishop Henry B. Hucles
                 Nursing Home, 5.625%, 7/1/18 .................................    Aa1          2,092,860
               Medical Care Facilities Finance Agency:
  3,480,000       Hospital and Nursing Home, Mortgage Revenue,
                   Ser. D, 6.35%, 2/15/12 .....................................    Aa2          3,888,691
  2,000,000       Presbyterian Hospital, Revenue Ser. A, 5.375%, 2/15/25 .......   Aaa          2,039,920
                                                                                              -----------
                                                                                                8,737,378

             North Carolina (.6%)
  1,130,000  Housing Finance Agency, Ser. U, 6.375%, 9/1/22 ...................    Aa           1,171,143

             Ohio (4.1%)
  7,595,000   Housing Finance Agency, Residential Mortgage, Revenue, Ser. B,
               5.40%, 9/1/29...................................................    AAA*         7,641,709

             Oklahoma (1.9%)
  3,000,000   McGee Creek Authority, Water Revenue, 6.00%, 1/1/23 ..............   Aaa          3,470,550

             Oregon (2.0%)
  3,695,000  Eugene, Trojan Nuclear Project, Revenue, 5.90%, 9/1/09............    Aa1          3,700,690
</TABLE>
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                                                                               7
<PAGE>

The Value Line Tax Exempt Fund, Inc.

Schedule of Investments (unaudited)
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                              Rating          Value
- ---------------------------------------------------------------------------------------------------------
<S>          <C>                                                                   <C>        <C>

             Pennsylvania (3.5%)
 $3,000,000  Housing Finance Agency, Refunding, Multifamily, 8.20%, 7/1/24 ....    Aa         $ 3,283,440
  3,000,000  Lancaster County, Solid Waste Management Authority, Resource
               Recovery System Revenue, Ser. A, 5.25%, 12/15/11................    Aaa          3,161,820
                                                                                              -----------
                                                                                                6,445,260

             Rhode Island (4.1%)
  4,000,000  Economic Development Corp , Airport Revenue, Ser. B, 5.00%, 7/1/28    Aaa          3,920,720
             Housing and Mortgage Finance Corp., Homeownership Opportunity:
  1,000,000    Ser. 3-A, 7.80%, 10/1/10........................................    Aa2          1,062,280
  2,500,000    Ser. 21-C, 5.65%, 10/1/20.......................................    Aa2          2,570,300
                                                                                              -----------
                                                                                                7,553,300

             South Carolina (1.9%)
  2,000,000  Housing Finance and Development Authority, Single Family Mortgage,
               5.00%, 7/1/34 ..................................................    Aaa          1,976,840
  1,450,000  Three Rivers, Solid Waste Authority, Solid Waste Disposal Facilities,
               Revenue, 5.30%, 1/1/27 .........................................    Aaa          1,487,018
                                                                                              -----------
                                                                                                3,463,858

             South Dakota (2.1%)
             Housing Development Authority, Homeownership Mortgage:
  1,405,000    Ser. A, 5.40%, 5/1/14...........................................    Aa1          1,450,606
  2,425,000    Ser. J, 5.70%, 5/1/10...........................................    Aa1          2,487,808
                                                                                              -----------
                                                                                                3,938,414

             Texas (8.6%)
  1,300,000  Austin, Higher Education Authority Inc., Revenue, Saint Edwards
               University Project, 5.25%, 8/1/23 ..............................    Baa3         1,294,566
  5,000,000  Harris County, Hospital District, Mortgage Revenue, 7.40%, 2/15/10    Aaa          6,029,450
  3,000,000  Lubbock, Housing Finance Corp., Single Family Mortgage Revenue,
               Refunding, Ser. 1989A, 8.00%, 10/1/21 ..........................    AAA*         4,257,480
    900,000  Travis County, Health Facilities Development Corp., Hospital 
               Revenue, Daughters of Charity, 5.90%, 11/15/07 .................    Aa             976,536
             Veterans Housing Assistance:
    665,000    Ser. B-4, 6.20%, 12/1/14........................................    Aa2            691,307
  2,590,000    Ser. II-D, 5.65%, 12/1/14.......................................    Aa2          2,679,769
                                                                                              -----------
                                                                                               15,929,108
</TABLE>

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8
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

                                                                 August 31, 1998
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                              Rating          Value
- ---------------------------------------------------------------------------------------------------------
<S>          <C>                                                                   <C>        <C>
             Utah (5.0%)
 $2,500,000  Associated Municipal Power System, Revenue Refunding,
               San Juan Project, 5.00%, 6/1/22 ................................    Aaa        $ 2,455,475
             Housing Finance Agency, Single Family Mortgage:
    255,000    Ser. C-3, 7.55%, 7/1/23.........................................    AAA*           269,441
    630,000    Ser. D-3, 7.55%, 7/1/23.........................................    AAA*           666,521
  2,250,000    Ser. E-1, 5.45%, 7/1/20.........................................    Aa2          2,267,393
  3,700,000   Intermountain Power Agency, Power Supply Revenue, Refunding, 
               Ser. A, 5.00%, 7/1/20 ..........................................    Aaa          3,646,572
                                                                                              -----------
                                                                                                9,305,402

             Virginia (1.7%)
  3,000,000  Housing Development Authority, Commonwealth Mortgage,
               Subser.  H-2, 6.85%, 7/1/14 ....................................    Aa1          3,092,820

             Wisconsin (11.8%)
             Health and Educational Facilities Authority, Revenue:
  2,000,000    Aurora Health Care Inc., 5.25%, 8/15/17.........................    Aaa          2,036,660
  3,100,000    United Health Group Inc., 5.25%, 12/15/27.......................    Aaa          3,140,579
  2,600,000    Wausau Hospital Inc., Ser. A, 5.125%, 8/15/20 ..................    Aaa          2,584,686
             Housing and Economic Development Authority:
               Home Ownership Revenue:
  1,785,000      Refunding, Ser. A, 6.00%, 3/1/17..............................    Aa2          1,887,584
  4,490,000      Ser. D, 5.45%, 9/1/27.........................................    Aa2          4,528,614
  7,595,000    Housing Revenue, Refunding, Ser. C, 5.80%, 11/1/13 .............    Aaa          7,875,939
                                                                                              -----------
                                                                                               22,054,062

             Wyoming (1.5%)
  2,750,000  Community Development Authority, Housing Revenue, Ser. 4,
               5.70%, 6/1/17 ..................................................    Aa2          2,856,342
                                                                                              -----------

             TOTAL LONG-TERM MUNICIPAL SECURITIES .............................               176,112,267
                                                                                              -----------
</TABLE>

- --------------------------------------------------------------------------------
                                                                               9
<PAGE>

The Value Line Tax Exempt Fund, Inc.

Schedule of Investments (unaudited)
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
 Principal
  Amount                       High-Yield Portfolio                              Rating          Value
- ---------------------------------------------------------------------------------------------------------
 <S>         <C>                                                                   <C>        <C> 
 SHORT-TERM MUNICIPAL SECURITIES (4.8%)

 $2,500,000  Brazos River Authority, Texas, Pollution Control Revenue,
               Refunding, Ser. A, 3.50%, 3/1/26 ...............................    VMIG1(1)   $ 2,500,000
  1,000,000  East Baton Rouge Parish, Louisiana, Pollution Control Revenue,
               Refunding, Exxon Project, 3.30%, 11/1/19 .......................    P1(1)        1,000,000
             Gulf Coast Waste Disposal Authority, Texas,
               Solid Waste Disposal Revenue, Amoco Oil Company Project:
    800,000      3.50%, 8/1/23 ...............................................     VMIG1(1)       800,000
  1,500,000      3.50%, 7/1/27.................................................    VMIG1(1)     1,500,000
  2,000,000  Maricopa County, Arizona, Pollution Control Revenue, Refunding,
               Arizona Public Service Co., Ser. B, 3.30%, 5/1/29 ..............    P1(1)        2,000,000
  1,200,000  Saint Charles Parish, Louisiana, Pollution Control Revenue,
               Shell Oil Co. Project, Ser. B, 3.30%, 10/1/22 ..................    VMIG1(1)     1,200,000
                                                                                             ------------

             TOTAL SHORT-TERM MUNICIPAL SECURITIES ............................                 9,000,000
                                                                                             ------------

             TOTAL MUNICIPAL SECURITIES (99.5%)
               (Cost $178,583,795) ............................................               185,112,267

             EXCESS OF CASH AND OTHER ASSETS
               OVER LIABILITIES (.5%) .........................................                   910,456
                                                                                             ------------

             NET ASSETS (100.0%) ..............................................              $186,022,723
                                                                                             ============
                              

             NET ASSET VALUE, OFFERING AND REDEMPTION PRICE,
               PER SHARE OUTSTANDING ..........................................                  $ 11.12
                                                                                             ============
</TABLE>

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

Variable rate notes are considered short-term obligations. Interest rates change
periodically every (1) 1 day. These securities are payable on demand on interest
rate refix  dates and 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
- --------------------------------------------------------------------------------
10
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

                                                                 August 31, 1998
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
Principal
  Amount                      Money Market Portfolio                             Rating          Value
- ---------------------------------------------------------------------------------------------------------
<S>                                                                                <C>          <C>    
SHORT-TERM MUNICIPAL SECURITIES (103.0%)

             Alabama (3.1%)
  $ 500,000  General Obligations, Refunding, 5.70%, 9/1/98.....................    Aa           $ 500,000

             Alaska (3.4%)
    540,000  Housing Finance Corporation, Refunding, Ser. A-1, 3.90%, 12/1/98 .    Aaa            540,000

             Arizona (5.0%)
    800,000  Maricopa County, Pollution Control Revenue, Refunding, Arizona
               Public Service Co., Ser B, 3.30%, 5/1/29 .......................    P1(1)          800,000

             District of Columbia (5.0%)
    800,000  General Obligation, Refunding, Ser. A-1, 3.45%, 10/1/07...........    VMIG1(1)       800,000

             Florida (3.8%)
    600,000  Tampa, Sports Authority, Revenue, Stadium Project, 4.50%, 1/1/99 .    Aaa            603,324

             Georgia (2.2%)
    350,000  General Obligation, Ser. B, 6.30%, 3/1/99.........................    Aaa            354,234

             Louisiana (11.3%)
    500,000  General Obligation, Ser. A, 6.25%, 8/1/99.........................    Aaa            510,935
    700,000  Lake Charles Parish, Harbor and Terminal District, Port Facilities
               Revenue, Refunding, 3.35%, 11/1/11 .............................    Aa1(1)         700,000
    600,000  Saint Charles Parish, Pollution Control Revenue, Shell Oil Co. 
               Project, Ser. A, 3.45%, 10/1/22.................................    VMIG1(1)       600,000
                                                                                               ----------
                                                                                                1,810,935

             Maryland (4.6%)
    745,000  Baltimore, Certificates of Participation, Emergency Telecommunications,
               Ser. A, 4.00%, 10/1/98..........................................    Aaa            745,174

             Michigan (4.9%)
    775,000  Detroit, Building Authority Revenue, Parking & Arena System,
               Ser. A, 4.50%, 7/1/99 ..........................................    Aaa            780,324

             Mississipi (4.4%)
    700,000  Jackson County, Port Facility Revenue, Refunding,
               Chevron USA, Inc. Project, 3.30%, 6/1/23 .......................    P1(2)          700,000
</TABLE>

- --------------------------------------------------------------------------------
                                                                              11
<PAGE>

The Value Line Tax Exempt Fund, Inc.

Schedule of Investments (unaudited)
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
Principal
  Amount                      Money Market Portfolio                             Rating          Value
- ---------------------------------------------------------------------------------------------------------
  <S>                                                                              <C>          <C>    
             New York (7.5%)
             New York City:
  $ 500,000    General Obligation, Subser. B-2, 3.30%, 8/15/03.................    VMIG1(1)     $ 500,000
    700,000    Municipal Water Finance Authority, Water & Sewer System
                 Revenue, Ser. C, 3.30%, 6/15/22 ..............................    VMIG1(1)       700,000
                                                                                               ----------
                                                                                                1,200,000

             North Carolina (2.0%)
    325,000  Charlotte, General Obligation, Public Improvements,
               6.40%, 2/1/99 ..................................................    Aaa            328,554

             Ohio (4.4%)
    700,000  Franklin County, Hospital Revenue, Holy Cross Health System Corp.,
               4.25%, 6/1/99 ..................................................    Aaa            702,279

             Oregon (7.5%)
    500,000  General Obligation, Pollution Control, 5.10%, 11/1/98.............    Aa2            501,063
    700,000  Housing and Community Services Department, Mortgage Revenue,
               Single Family Mortgage Program, Ser. F, 3.65%, 8/31/99 .........    MIG1           700,000
                                                                                               ----------
                                                                                                1,201,063

             South Carolina (5.3%)
    500,000  Educational Assistance Authority, Revenue, 6.10%, 9/1/98..........    AA*            500,000
    350,000  North Charleston, Certificates of Participation, Refunding,
               Coliseum & Convention, 3.90%, 9/1/98 ...........................    Aaa            350,000
                                                                                               ----------
                                                                                                  850,000

             Texas (18.0%)
    400,000  Austin, Public Property Finance Contractual Obligation,
               4.30%, 5/1/99 ..................................................    Aa2            401,205
    300,000  Brazos River Authority, Pollution Control Revenue, Refunding,
               Ser. A, 3.50%, 3/1/26...........................................    VMIG1(1)       300,000
    485,000  Denton, General Obligations, Refunding, 5.40%, 2/15/99............    Aaa            488,528
    500,000  General Obligations, Refunding, Ser. A, 4.90%, 10/1/98............    Aa2            500,418
    600,000  Harris County, Health Facilities Development Corp., 
              Special Facilities Revenue, Texas Medical 
              Center Project, 3.85%, 2/15/22 ..................................    VMIG1(1)       600,000
    600,000  Trinity River Authority, Pollution Control Revenue, Texas 
               Utilities Electric Co. Project, Ser. A, 3.50%, 3/1/26 ..........    VMIG1(1)       600,000
                                                                                               ----------
                                                                                                2,890,151
</TABLE>

- --------------------------------------------------------------------------------
12
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

August 31, 1998
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
Principal
  Amount                      Money Market Portfolio                             Rating          Value
- ---------------------------------------------------------------------------------------------------------
  <S>                                                                              <C>          <C>    
             Utah (3.1%)
  $ 500,000  Emery County, Pollution Control Revenue, Refunding,
               Pacificorp Project, 3.35%, 11/1/24..............................    VMIG1(1)     $ 500,000

             Wyoming (7.5%)
             Lincoln County, Pollution Control Revenue, Exxon Project:
    400,000    Ser. B, 3.30%, 11/1/14..........................................    P1(1)          400,000
    800,000    Ser. C, 3.30%, 7/1/17...........................................    Aaa(1)         800,000
                                                                                              -----------
                                                                                                1,200,000
                                                                                              -----------

             TOTAL SHORT-TERM MUNICIPAL SECURITIES (103.0%)
               (Cost $16,506,038) .............................................                16,506,038

             EXCESS OF LIABILITIES OVER CASH AND
               OTHER ASSETS (-3.0%) ...........................................                  (473,217)
                                                                                              -----------

             NET ASSETS (100.0%)  .............................................               $16,032,821
                                                                                              ===========

             NET ASSET VALUE, OFFERING AND REDEMPTION PRICE,
               PER OUTSTANDING SHARE ..........................................                   $ 1.00
                                                                                              ===========
</TABLE>

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

Variable rate notes are considered short-term obligations. Interest rates change
periodically  every (1) 1 day (2) 7 days. These securities are payable on demand
on  interest  rate refix  dates and 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.
- --------------------------------------------------------------------------------
                                                                              13
<PAGE>

The Value Line Tax Exempt Fund, Inc.

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

                                                                Portfolio
                                                          ----------------------
                                                           High-         Money
                                                          Yield          Market
                                                          ----------------------
                                                         (Dollars in thousands
                                                        except per share amount)
Assets:
Investment securities, at value
  (Cost $178,584 and amortized
  cost $16,506) ................................        $185,112        $ 16,506
Cash ...........................................              77             151
Receivable for securities sold .................           8,576              --
Interest receivable ............................           1,969             147
Receivable for capital shares sold .............              74              --
                                                        --------        --------
    Total Assets ...............................         195,808          16,804
                                                        --------        --------
Liabilities:
Payable for securities purchased ...............           9,319             700
Dividends payable to shareholders ..............             276              --
Payable for capital shares
  repurchased ..................................              32              29
Accrued expenses:
  Advisory fee .................................              78               7
  Other ........................................              80              35
                                                        --------        --------
    Total Liabilities ..........................           9,785             771
                                                        --------        --------
Net Assets .....................................        $186,023        $ 16,033
                                                        ========        ========
Net Assets:
Capital stock, at $.01 par value  (Authorized 
 65,000,000 shares and 125,000,000
 shares, respectively; outstanding 
 16,732,216 shares and 16,070,091 shares
  respectively) .................................       $    167       $    161
Additional paid-in capital ......................        175,151         15,909
Accumulated net realized gain (loss)
  on investments ................................          4,177            (37)
Unrealized net appreciation of
  investments ...................................          6,528             --
                                                        --------       --------
Net Assets ......................................       $186,023       $ 16,033
                                                        ========       ========
Net Asset Value, Offering and
  Redemption Price per
  Outstanding Share .............................       $  11.12       $   1.00
                                                        ========       ========



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

                                                                Portfolio
                                                          ---------------------
                                                          High-           Money
                                                          Yield          Market
                                                          ---------------------
                                                                Dollars
                                                             (in thousands)
Investment Income:
Interest income ................................        $ 5,099         $   310
                                                        -------         -------
Expenses:
Advisory fee ...................................            468              42
Auditing and legal fees ........................             28              18
Transfer agent fees ............................             25              10
Custodian fees .................................             21               2
Postage ........................................             12               3
Printing and stationery ........................             10               2
Registration and filing fees ...................              5               7
Directors' fees and expenses ...................              4               4
Other ..........................................             15               5
                                                        -------         -------
    Total expenses before custody
      credits ..................................            588              93
    Less: custody credits ......................             (9)             (1)
                                                        -------         -------
    Net Expenses ...............................            579              92
                                                        -------         -------

Net Investment Income ..........................          4,520             218
                                                        -------         -------

Net Realized and Unrealized Gain
  (Loss) on Investments:
    Net Realized Gain (Loss) ...................          1,758              (5)
    Change in Unrealized
      Appreciation .............................           (445)             --
                                                        -------         -------

Net Realized Gain (Loss) and
  Change in Unrealized
  Appreciation on Investments ..................          1,313              (5)
                                                        -------         -------

Net Increase in Net Assets
  from Operations ..............................        $ 5,833         $   213
                                                        =======         =======
                                                        
See Notes to Financial Statements.
- --------------------------------------------------------------------------------
14
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

Statement  of Changes in Net Assets 
for the Six Months  Ended  August 31, 1998  (unaudited),  and for the Year Ended
February 28, 1998
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
                                                                  High-Yield Portfolio                   Money Market Portfolio
                                                           ---------------------------------------------------------------------
                                                             Six Months                            Six Months
                                                               Ended             Year Ended          Ended            Year Ended
                                                             August 31, 1998     February 28,      August 31,1998   February 28,
                                                            (unaudited)             1998           (unaudited)           1998
                                                           ---------------------------------------------------------------------
                                                                                   (Dollars in thousands)
<S>                                                            <C>                   <C>              <C>                 <C>      
Operations:
  Net investment income ...................................    $   4,520             $   9,430        $     218           $     494
  Net realized gain (loss) on investments .................        1,758                 3,346               (5)                 (1)
  Change in net unrealized appreciation ...................         (445)                2,806             --                   -- 
                                                               ---------------------------------------------------------------------
  Net increase in net assets from operations ..............        5,833                15,582              213                 493
                                                               ---------------------------------------------------------------------
                                                                                                                      
Distributions to Shareholders:                                                                                        
  Net investment income ...................................       (4,520)               (9,430)             219                (493)
  Net realized gains ......................................         --                  (1,654)            --                   -- 
                                                               ---------------------------------------------------------------------
  Net decrease in net assets from distributions ...........       (4,520)              (11,084)            (219)               (493)
                                                               ---------------------------------------------------------------------
                                                                                                                      
Capital Share Transactions:                                                                                           
  Net proceeds from sale of shares ........................        4,991                28,198            4,787               8,000
  Net proceeds from reinvestment of distribution                                                                  
    to shareholders .......................................        2,898                 7,231              219                 493
  Cost of shares repurchased ..............................      (11,288)              (45,459)          (5,725)            (11,403)
                                                               ---------------------------------------------------------------------
  Net decrease in net assets from capital                                                                             
    share transactions ....................................       (3,399)              (10,030)            (719)             (2,910)
                                                               ---------------------------------------------------------------------
                                                                                                                     
Total Decrease in Net Assets ..............................       (2,086)               (5,532)            (725)             (2,910)
                                                                                                                    
Net Assets:                                                                                                          
  Beginning of period .....................................      188,109               193,641           16,758              19,668
                                                               ---------------------------------------------------------------------
  End of period ...........................................    $ 186,023             $ 188,109        $  16,033           $  16,758
                                                               =====================================================================
Net Undistributed Investment                                                                                          
  Income at end of period .................................    $    --               $    --          $    --             $       1
                                                               =====================================================================
</TABLE>                                                       
                                                               
See Notes to Financial Statements.                         
- --------------------------------------------------------------------------------
                                                                              15
<PAGE>

The Value Line Tax Exempt Fund,Inc.

Notes to Financial Statements (unaudited)
- --------------------------------------------------------------------------------

1    Significant Accounting Policies

The  Value  Line Tax  Exempt  Fund,  Inc.  (the  Fund) is  registered  under the
Investment  Company  Act  of  1940,  as  amended,  as  a  diversified,  open-end
management  investment  company,  comprised of the  High-Yield  and Money Market
Portfolios.  The primary investment  objective of the High-Yield Portfolio is to
provide investors with the maximum income exempt from federal income taxes while
avoiding  undue risk to  principal by  investing  primarily in  investment-grade
municipal securities.  The primary objective of the Money Market Portfolio is to
preserve  principal and provide income by investing in high-quality,  tax-exempt
money market  instruments.  The ability of the issuers of the securities held by
the Fund to meet their  obligations  may be affected  by  economic or  political
developments in a specific state or region. The following significant accounting
policies are in conformity  with generally  accepted  accounting  principles for
investment companies. Such policies are consistently followed by the Fund 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:  High-Yield Portfolio -- The investments are valued each
business day by an independent pricing service ("Service") approved by the Board
of  Directors.  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 will be valued in good faith at their fair
value using methods determined by the Board of Directors.

Money Market  Portfolio--Securities  are valued on the basis of amortized  cost,
which  approximates  market  value  and does not take  into  account  unrealized
capital  gains or  losses.  This  involves  valuing  an  instrument  at cost and
thereafter  assuming a constant  amortization  to  maturity  of any  discount or
premium,  regardless of the impact of  fluctuating  interest rates on the market
value of the instrument.  The valuation of securities based upon their amortized
cost is permitted  by Rule 2a-7 under the  Investment  Company Act of 1940.  The
rule requires that the Portfolio  maintain a  dollar-weighted  average portfolio
maturity of 90 days or less, purchase instruments that have remaining maturities
of 13 months or less only, and invest only in securities determined by the Board
of Directors to be of good quality,  with minimal  credit  risks.  The Directors
have  established   procedures   designed  to  achieve  these  objectives.  

(B) Distributions:  It is the policy of the Fund to declare dividends daily from
net  investment   income.   In  the  Money  Market   Portfolio,   dividends  are
automatically  reinvested each day in additional shares. Dividends credited to a
shareholder's  account in the  High-Yield  Portfolio  are  distributed  monthly.
Income  earned by the Fund on  weekends,  holidays,  and other days on which the
Fund is closed for  business  is declared as a dividend on the next day on which
the Fund is open for business.  The Fund expects to distribute  any net realized
capital gains in either Portfolio at least annually.

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"  differences are either  considered  temporary or permanent in
nature.  To the extent these  differences are permanent in nature,  such amounts
are reclassified  within the capital  accounts based on their federal  tax-basis
treatment. Temporary differences do not require reclassification.

- --------------------------------------------------------------------------------
16
<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

                                                                 August 31, 1998
- --------------------------------------------------------------------------------

(C) Federal Income Taxes: It is the policy of the Fund 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 provision
for federal income tax or excise tax is required in the  accompanying  financial
statements.

(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,  when  appropriate,  in accordance with
federal income-tax regulations, is earned from settlement date and recognized on
the accrual basis.  Additionally,  when appropriate,  the Fund recognizes market
discount  when the  securities  are  disposed.  Securities  purchased or sold on
when-issued or  delayed-delivery  basis may be settled a month or more after the
trade date.

(E) Expenses:  Expenses  directly  attributable to each Portfolio are charged to
that Portfolio's operations; expenses that are applicable to both Portfolios are
allocated between them.

2.   Capital Share Transactions

Transactions in capital stock were as follows:

                                                High-Yield Portfolio
                                             --------------------------
                                               Six Months
                                                 Ended        Year
                                               August 31,    Ended
                                                 1998      February 28,
                                               (unaudited)    1998
                                             --------------------------
                                                   (in thousands)
Shares sold ...............................     453           2,576
Shares issued to shareholders in           
  reinvestment of distributions ...........     263             663
                                             -----------------------
                                                716           3,239
Shares repurchased ........................  (1,025)         (4,160)
                                             ----------------------
Net decrease ..............................    (309)           (921)
                                             =======================
                                           
                                         
                                               Money Market Portfolio
                                             ---------------------------
                                               Six Months
                                                 Ended        Year
                                               August 31,    Ended
                                                 1998      February 28,
                                              (unaudited)     1998
                                             ---------------------------
                                                  (in thousands)
Shares sold ..............................    4,787           8,000
Shares issued to shareholders in           
  reinvestment of distributions ..........      219             493
                                             -----------------------
                                              5,006           8,493
Shares repurchased .......................   (5,725)        (11,403)
                                             -----------------------
Net decrease .............................     (719)         (2,910)
                                             =======================
                                           
3.   Purchases and Sales of Securities   

Purchases and sales of municipal securities were as follows:

                                     High-Yield Portfolio
                                     --------------------
                                       Six Months Ended
                                        August 31, 1998
                                         (unaudited)
                                     --------------------
                                        (in thousands)
Purchases:
Long-term obligations ..................   $168,195
Short-term obligations .................     33,906
                                           --------
                                           $202,101
                                           ========
Maturities or Sales:
Long-term obligations ..................   $171,700
Short-term obligations .................     38,983
                                           --------
                                           $210,683
                                           ========

                                          Money Market
                                           Portfolio
                                     ------------------
                                       Six Months Ended
                                        August 31, 1998
                                         (unaudited)
                                     ------------------
                                        (in thousands)

Purchases:
Municipal short-term obligations ........  $12,014
                                           =======
maturities or Sales:
Municipal short-term obligations ........  $13,251
                                           =======

- --------------------------------------------------------------------------------
                                                                              17
<PAGE>

The Value Line Tax Exempt Fund, Inc.

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

At August 31, 1998,  the aggregate cost of  investments  for federal  income-tax
purposes was $178,583,795  for the High-Yield  Portfolio and $16,506,038 for the
Money Market Portfolio.

     The  aggregate   appreciation   and  depreciation  of  investments  in  the
High-Yield  Portfolio at August 31, 1998,  based on a comparison  of  investment
values and their costs for  federal  income-tax  purposes,  was  $6,885,183  and
$356,711,   respectively,   resulting  in  a  net  unrealized   appreciation  of
$6,528,472.  There was no unrealized  appreciation  or depreciation in the Money
Market Portfolio.

For federal  income-tax  purposes the Money Market  Portfolio had a capital-loss
carryover  at February  28, 1998,  of $31,999,  of which  $27,649 will expire in
2000,  $998 in 2004,  $1,285 in 2005 and $2,067 in 2006.  To the  extent  future
capital  gains  are  offset  by such  capital  losses,  the  Portfolio  does not
anticipate distributing any such gains to its shareholders.

4.   Investment Advisory Contract and Transactions With Affiliates

An advisory  fee of $468,491  and $41,553 was paid or payable by the  High-Yield
Portfolio and the Money Market Portfolio, respectively, to Value Line, Inc. (the
Adviser)  for the six months  ended  August 31,  1998.  This was computed at the
annual rate of 1/2 of 1% of the average daily net asset values of the portfolios
of the Fund for the year. The Adviser provides  research,  investment  programs,
and  supervision  of the investment  portfolio and pays costs of  administrative
services,   office  space,   equipment,   and  compensation  of  administrative,
bookkeeping,  and clerical  personnel  necessary for managing the affairs of the
Fund.  The Adviser also provides  persons,  satisfactory  to the Fund's Board of
Directors, to act as officers of the Fund and pays their salaries and wages. The
Fund bears all other costs and expenses of its organization and operation.

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

At August 31, 1998, the Adviser and/or affiliated companies owned 114,782 shares
of the High-Yield Portfolio common shares,  representing .69% of the outstanding
shares.  In addition,  certain  officers and directors of the Fund owned 160,261
shares of the High-Yield Portfolio,  representing .96% of the outstanding shares
and  2,548  shares  of the  Money  Market  Portfolio,  representing  .02% of the
outstanding shares.

- --------------------------------------------------------------------------------
                                                                              18

<PAGE>

                                            The Value Line Tax Exempt Fund, Inc.

Financial Highlights
- --------------------------------------------------------------------------------

Selected Data for a Share of Capital Stock Outstanding Throughout Each Period:

<TABLE>
<CAPTION>
                                                                                           HIGH-YIELD PORTFOLIO
                                                    
                                                    For the Six                    Years Ended on Last Day of February,
                                                   Months Ended      ---------------------------------------------------------------
                                                   August 31, 1998            
                                                    (unaudited)      1998          1997          1996          1995          1994
                                                  ---------------------------------------------------------------------------------
<S>                                                    <C>          <C>           <C>           <C>           <C>           <C>   
Net asset value, beginning
  of period .....................................      $11.04       $10.78        $10.82        $10.40        $10.97        $11.29
                                                   ---------------------------------------------------------------------------------
  Income from investment
    operations:
    Net investment income .......................        .268         .543          .547          .552          .568          .598
    Net gains or losses on securities
      (both realized and unrealized) ............        .080         .354         (.040)         .420         (.528)        (.112)
                                                   ---------------------------------------------------------------------------------
    Total from investment
      operations ................................        .348         .897          .507          .972          .040          .486
                                                   ---------------------------------------------------------------------------------
  Less distributions:
    Dividends from net investment
      income ....................................       (.268)       (.541)        (.547)        (.552)        (.568)        (.602)
    Distributions from capital gains ............          --        (0.96)           --            --         (.042)        (.204)
                                                   ---------------------------------------------------------------------------------
      Total distributions .......................       (.268)       (.637)        (.547)        (.552)        (.610)        (.806)
                                                   ---------------------------------------------------------------------------------
Net asset value, end of period ..................      $11.12       $11.04        $10.78        $10.82        $10.40        $10.97
                                                   =================================================================================
Total return ....................................        3.01%+       8.56%         4.86%         9.55%          .64%         4.37%
                                                   =================================================================================

Ratios/Supplemental Data
Net assets, end of period
  (in thousands) ................................    $186,023     $188,109      $193,641      $222,760      $241,467      $237,888
Ratio of expenses to                                                                                                      
  average net assets ............................         .63%(1)*     .63%(1)       .60%(1)       .62%          .61%          .58%
Ratio of net investment income to                                                                                         
  average net assets ............................        4.82%*       4.98%         5.13%         5.22%         5.54%         5.30%
Portfolio turnover rate .........................          95%+        119%           73%           95%           60%           55%
</TABLE>


*    Annualized

+    Not annualized, for six month period only.

(1)  Before offset for custody credits.


See Notes to Financial Statements
- --------------------------------------------------------------------------------
                                                                              19
<PAGE>

The Value Line Tax Emempt Fund, Inc.

Financial Highlights
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
Selected Data for a Share of Capital Stock Outstanding Throughout Each Period:

                                                                                 MONEY MARKET PORTFOLIO
                                        For the 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 .....................         $1.00               $1.00              $1.00           $1.00           $1.00      $1.00
                                   -------------------------------------------------------------------------------------------------
  Income from investment
    operations:
    Net investment income .......          .013                .026               .025            .029            .022       .016
                                   -------------------------------------------------------------------------------------------------
  Less distributions:
    Dividends from net investment
      income ....................         (.013)              (0.26)             (.025)          (.029)          (.022)     (.016)
                                   -------------------------------------------------------------------------------------------------
Net asset value, end of period ..         $1.00               $1.00              $1.00           $1.00           $1.00      $1.00
                                   =================================================================================================
Total return ....................          1.34%+              2.65%              2.56%           2.92%           2.22%      1.58%
                                   =================================================================================================

Ratios/Supplemental Data
Net assets, end of period
  (in thousands) ................       $16,033             $16,758            $19,688         $21,777         $25,681     $1,707
Ratio of expenses to
  average net assets ............          1.12%(1)*           1.03%(1)           1.00%(1)        1.01%            .89%       .86%
Ratio of net investment income to
  average net assets ............          2.62%*              2.63%              2.54%           2.89%           2.17%      1.56%
</TABLE>

*    Annualized

+    Not annualized, for six month period only.

(1)  Before offset for custody credits.

See Notes to Financial Statements
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<PAGE>

The Value LIne Tax Exempt Fund, Inc.

                         The Value Line Family of Funds
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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. Read the prospectus  carefully  before you invest or
send money.

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<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

BOARD OF Directors    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

An investment in The Value Line Tax Exempt Fund, Inc. Money Market  Portfolio is
not guaranteed or insured by the U.S. government, and there is no assurance that
this portfolio will maintain its $1.00 per-share net asset value.

The financial statements included herein have been taken from the records of the
Fund 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 Fund (obtainable from the
Distributor).

                                                                          501966



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