VALUE LINE LEVERAGED GROWTH INVESTORS INC
N-30D, 1998-08-26
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================================================================================

                               SEMI-ANNUAL REPORT
                               ------------------
                                  June 30, 1998
                               ------------------


                                   Value Line
                                Leveraged Growth
                                 Investors, Inc.



                                     [LOGO]
                                   VALUE LINE
                                     No-Load
                                     Mutual
                                      Funds

<PAGE>


Value Line Leveraged Growth Investors, Inc.


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

To Our Shareholders:

The  first  six  months  of 1998 has  provided  a  challenging  environment  for
investing in growth equities,  but we are proud of the returns  Leveraged Growth
has provided over this period.  Your Fund beat the  benchmark  Standard & Poor's
500 Index in both of the first two quarters of this year, and ended up the first
half better than the index by more than five  percentage  points.  The quarterly
breakdowns are as follows:

                                Leveraged        
                                 Growth*              S&P 500*
                                 --------              -------
First Quarter ................    14.87%                13.95%
Second Quarter ...............     7.02%                 3.30%
Six months ...................    22.94%                17.71%
                                         
*    Includes reinvested dividends.

The  "challenging  environment"  mentioned above reflects the volatility we have
seen in the U.S.  stock  market this year.  Beginning  in  January,  stocks rose
almost  continuously,  from about 7500 (as measured by the Dow Jones  Industrial
Average) to new records of over 9200 in  mid-April.  At that point,  the markets
were faced with the second wave of the economic  crisis in the Pacific Rim (with
its specter of diminished  demand for exported U.S. goods and its pressure on an
already  weak  Japanese  economy),  and the market fell to about  8600.  At that
level,  investors  realized  that  economic  conditions  in the U.S.  were still
conducive  to long-term  equity  investment,  and the Dow snapped back  sharply,
peaking at over 9350 in early July.

The story of the first part of the third  quarter has been mostly  negative.  So
far, the  investment  community  has been worried  about  decelerating  economic
growth,  soft corporate earnings (most of which beat analysts'  consensus in the
second quarter, but perhaps not by enough), and the evolving fallout from Asia.

We believe that the  overlooked  jewel in the U.S.  economy is the continued low
rate of  inflation,  and the  positive  effect that has on stable and  declining
interest  rates.  Assuming that  domestic  economic  activity  continues to grow
modestly (as articulated in the second-quarter  preview of 1.4% expansion in the
Gross Domestic  Product),  we think corporate  earnings won't deviate materially
from their long-term uptrend.  Moreover, the interest-rate  environment suggests
that price earnings  multiples  will remain steady to up somewhat,  which spells
further advances in stock prices.

Finally, the stocks that we believe are poised to participate most fully in this
benign  scenario  are those we use in  Leveraged  Growth,  which  are  ranked to
outperform  the broad market by the Value Line  Timeliness  Ranking  System.  We
appreciate your continued  confidence in the Value Line mutual funds, and pledge
our best efforts to meet your investment needs now and in the future.


                                        Sincerely,


                                        /s/ Jean Bernhard Buttner

                                        Jean Bernhard Buttner
                                        Chairman and President

August 10, 1998


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

<PAGE>


                                     Value Line Leveraged Growth Investors, Inc.


Growth Investors Shareholders
- --------------------------------------------------------------------------------

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 deepening  financial  crisis now
gripping much of Asia. Specifically, GDP, which expanded at a frenetic 5.5% pace
during the opening three months of 1998, came in with just a modest 1.4% gain in
the second quarter.  Moreover, based on the data released since then, we believe
that the current  expansion will not strengthen  appreciably  over the final six
months of the year.

At this  point,  though,  we do not  believe  that this  slower pace of economic
activity is the  forerunner  of a recession.  Our sense is that the Asian crisis
will  gradually  recede over the next year and that the  continuing  low rate of
inflation in this country will  encourage  the Federal  Reserve to keep a steady
hand on the monetary reins.  That combination  should help to keep this nation's
economy moving forward, albeit slowly.

But even a modest  deceleration  in U.S.  economic  activity is likely to mean a
further slowing in overall  corporate profit growth.  With equity  valuations at
elevated  levels,  such a slowing  in  profit  growth  will lead to  accentuated
volatility in the financial markets.



*Performance Data:

                                                                Growth of
                                                 Average        an Assumed
                                                  Annual       Investment of
                                               Total Return       $10,000
                                               ------------    -------------
 1 year ended 6/30/98 ...................         36.89%          $13,689
 5 years ended 6/30/98 ..................         21.47%          $26,445
10 years ended 6/30/98 ..................         17.86%          $51,704

*    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.


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

<PAGE>


Value Line Leveraged Growth Investors, Inc.


Portfolio Highlights at June 30, 1998 (unaudited)
- --------------------------------------------------------------------------------

Ten Largest Holdings
<TABLE>
<CAPTION>
                                                                  Value        Percentage
Issue                                             Shares     (in thousands)   of Net Assets
- -------------------------------------------------------------------------------------------
<S>                                               <C>            <C>              <C> 
Dell Computer Corp. ..........................    250,000        $23,203          4.4%
EMC Corp. ....................................    500,000         22,406          4.3
SunAmerica Inc. ..............................    360,000         20,678          4.0
Cisco Systems, Inc. ..........................    165,000         15,190          2.9
Microsoft Corp. ..............................    140,000         15,173          2.9
Schering-Plough Corp. ........................    160,000         14,660          2.8
Fifth Third Bancorp ..........................    225,000         14,175          2.7
HBO & Co. ....................................    400,000         14,100          2.7
Harley-Davidson, Inc. ........................    320,000         12,400          2.4
Gillette Co. .................................    200,000         11,338          2.2
<CAPTION>
Five Largest Industry Categories
                                                   Value       Percentage
Industry                                      (in thousands)  of Net Assets
- -------------------------------------------------------------------------------------------
<S>                                               <C>             <C>  
Computer & Peripherals .......................    $68,094         13.0%
Computer Software & Services .................     33,468          6.4
Drug .........................................     32,675          6.3
Retail-Special Lines .........................     25,815          4.9
Medical Supplies .............................     22,923          4.4
<CAPTION>
Five Largest Net Security Purchases*
                                                   Cost
Issue                                         (in thousands)
- -------------------------------------------------------------------------------------------
<S>                                                <C>   
Bed Bath & Beyond Inc. .......................     $7,696
Clear Channel Communications, Inc. ...........      4,887
Colgate-Palmolive Co. ........................      4,498
American International Group, Inc. ...........      4,421
America Online, Inc. .........................      4,365
<CAPTION>
Five Largest Net Security Sales*
                                                 Proceeds
Issue                                         (in thousands)
- -------------------------------------------------------------------------------------------
<S>                                               <C>    
Dell Computer Corp. ..........................    $11,492
Oracle Systems Corp. .........................      6,097
Praxair, Inc. ................................      5,646
Parametric Technology Corp. ..................      4,629
CompUSA, Inc. ................................      4,117
</TABLE>

*    For the six month period ended 06/30/98


- --------------------------------------------------------------------------------
4

<PAGE>


                                     Value Line Leveraged Growth Investors, Inc.


Schedule of Investments                                June 30, 1998 (unaudited)
- --------------------------------------------------------------------------------


                                                                      Value
  Shares                                                          (in thousands)
- --------------------------------------------------------------------------------
COMMON STOCKS (102.4%)

                ADVERTISING (1.9%)
     200,000    Omnicom Group, Inc. ...........................         $  9,975

                AIR TRANSPORT (2.4%)
     110,000    Airborne Freight Corp. ........................            3,843
      60,000    Alaska Air Group, Inc.*........................            3,274
      70,000    U.S. Airways Group, Inc.*......................            5,547
                                                                        --------
                                                                          12,664

                APPAREL (0.8%)
     150,000    Nautica Enterprises, Inc.*.....................            4,022

                AUTO & TRUCK (0.5%)
      50,000    PACCAR Inc. ...................................            2,612

                AUTO PARTS--
                  REPLACEMENT (0.6%)
      45,000    Federal-Mogul Corp. ...........................            3,038

                BANK (4.4%)
     180,000    BankBoston Corp. ..............................           10,013
      70,000    Citicorp.......................................           10,447
      35,000    State Street Corp. ............................            2,432
                                                                        --------
                                                                          22,892

                BANK--MIDWEST (3.9%)
     225,000    Fifth Third Bancorp............................           14,175
     170,000    Norwest Corp. .................................            6,354
                                                                        --------
                                                                          20,529

                BEVERAGE--
                  SOFT DRINK (0.9%)
     125,000    Coca-Cola Enterprises Inc. ....................            4,906

                COAL/ALTERNATE
                  ENERGY (0.8%)
      80,000    AES Corp.*.....................................            4,205

                COMPUTER &
                  PERIPHERALS (13.0%)
     165,000    Cisco Systems, Inc.*...........................           15,190
      75,000    Compaq Computer Corp. .........................            2,128
     250,000    Dell Computer Corp.*...........................           23,203
     500,000    EMC Corp.*.....................................           22,406
      45,000    International Business
                    Machines Corp. ............................            5,167
                                                                        --------
                                                                          68,094

                COMPUTER SOFTWARE
                  & SERVICES (6.4%)
     189,000    Computer Associates
                    International, Inc. .......................           10,501
     112,500    Fiserv Inc.*...................................            4,778
     140,000    Microsoft Corp.*...............................           15,173
      63,000    Network Associates, Inc.*......................            3,016
                                                                        --------
                                                                          33,468

                DIVERSIFIED
                  COMPANIES (0.6%)
      50,000    Tyco International Ltd. .......................            3,150

                DRUG (6.3%)
      50,000    Merck & Co., Inc. .............................            6,687
      72,000    Pfizer, Inc. ..................................            7,826
     160,000    Schering-Plough Corp. .........................           14,660
      75,000    Watson Pharmaceuticals,
                    Inc.*......................................            3,502
                                                                        --------
                                                                          32,675

                ENTERTAINMENT (1.0%)
      50,000    Clear Channel
                    Communications, Inc.*......................            5,456

                FINANCIAL SERVICES (2.7%)
      25,000    Capital One Financial Corp. ...................            3,105
      80,000    FINOVA Group, Inc. (The).......................            4,530
     120,000    Franklin Resources, Inc. ......................            6,480
                                                                        --------
                                                                          14,115

- --------------------------------------------------------------------------------
                                                                               5
<PAGE>


Value Line Leveraged Growth Investors, Inc.


Schedule of Investments                                
- --------------------------------------------------------------------------------


                                                                      Value
  Shares                                                          (in thousands)
- --------------------------------------------------------------------------------
                FURNITURE/HOME
                  FURNISHINGS (0.6%)
      60,000    Ethan Allen Interiors, Inc. ...................         $  2,996

                HEALTHCARE
                  INFORMATION
                  SYSTEMS (2.7%)
     400,000    HBO & Co. .....................................           14,100

                HOUSEHOLD
                  PRODUCTS (1.9%)
      50,000    Colgate-Palmolive Co. .........................            4,400
      60,000    Procter & Gamble Co. ..........................            5,464
                                                                        --------
                                                                           9,864

                INDUSTRIAL
                  SERVICES (1.9%)
     150,000    AccuStaff Inc.*................................            4,687
      97,500    Robert Half
                    International, Inc.*.......................            5,448
                                                                        --------
                                                                          10,135

                INSURANCE--
                  DIVERSIFIED (2.7%)
      50,000    American International
                    Group, Inc. ...............................            7,300
     120,000    MGIC Investment Corp. .........................            6,847
                                                                        --------
                                                                          14,147

                INSURANCE--LIFE (4.0%)
     360,000    SunAmerica Inc. ...............................           20,678

                INTERNET (1.0%)
      50,000    America Online, Inc.*..........................            5,300

                MACHINERY (2.0%)
      27,000    Caterpillar, Inc. .............................            1,427
     170,000    Deere & Co. ...................................            8,989
                                                                        --------
                                                                          10,416

                MANUFACTURED
                  HOUSING/
                  RECREATIONAL
                  VEHICLES (0.6%)
     100,000    Oakwood Homes Corp. ...........................            3,000

                MEDICAL SERVICES (2.3%)
     160,000    Omnicare, Inc. ................................            6,100
      90,000    United Healthcare Corp. .......................            5,715
                                                                        --------
                                                                          11,815

                MEDICAL SUPPLIES (4.4%)
      75,000    Guidant Corp. .................................            5,348
     100,000    Johnson & Johnson..............................            7,375
     160,000    Medtronic, Inc. ...............................           10,200
                                                                        --------
                                                                          22,923

                OFFICE EQUIPMENT
                  & SUPPLIES (1.5%)
     278,437    Staples, Inc.*.................................            8,057

                OILFIELD SERVICES/
                  EQUIPMENT (3.8%)
     130,000    BJ Services Co.*...............................            3,778
      70,000    Smith International, Inc.*.....................            2,437
      95,000    Tidewater, Inc. ...............................            3,135
     120,000    Transocean Offshore, Inc. .....................            5,340
      60,000    Western Atlas, Inc.*...........................            5,093
                                                                        --------
                                                                          19,783

                PACKAGING &
                  CONTAINER (1.0%)
     120,000    Owens-Illinois, Inc.*..........................            5,370

                RECREATION (2.4%)
     320,000    Harley-Davidson, Inc. .........................           12,400

                RETAIL BUILDING
                  SUPPLY (1.9%)
     120,000    Home Depot, Inc. ..............................            9,968


- --------------------------------------------------------------------------------
6
<PAGE>


                                     Value Line Leveraged Growth Investors, Inc.


                                                       June 30, 1998 (unaudited)
- --------------------------------------------------------------------------------


                                                                      Value
  Shares                                                          (in thousands)
- --------------------------------------------------------------------------------
                RETAIL--
                  SPECIAL LINES (4.9%)
     150,000    AutoZone, Inc.*................................        $  4,791
     150,000    Bed Bath & Beyond Inc.*........................           7,772
     180,000    Gap, Inc. .....................................          11,092
      45,000    Tiffany & Co. .................................           2,160
                                                                       --------
                                                                         25,815

                RETAIL STORE (4.0%)
      60,000    Dayton Hudson Corp. ...........................           2,910
     274,657    Dollar General Corp. ..........................          10,866
     140,000    Kohl's Corp.*..................................           7,263
                                                                       --------
                                                                         21,039

                SECURITIES
                  BROKERAGE (0.5%)
      35,000    Lehman Brothers
                    Holdings, Inc. ............................           2,715

                SEMICONDUCTOR (2.0%)
     140,000    Intel Corp. ...................................          10,377

                SEMICONDUCTOR
                  CAPITAL
                  EQUIPMENT (0.4%)
      75,000    Applied Materials, Inc.*.......................           2,213

                SHOE (0.5%)
     120,000    Wolverine World Wide, Inc. ....................           2,602

                TELECOMMUNICATIONS
                  EQUIPMENT (3.9%)
     200,000    ADC Telecommunications,
                    Inc.*......................................           7,306
     200,000    Loral Space &
                    Communications Ltd*........................           5,650
     100,000    Tellabs, Inc.*.................................           7,163
                                                                       --------
                                                                         20,119

                TELECOMMUNICATION
                  SERVICES (1.7%)
     100,000    AirTouch Communications,
                    Inc.*......................................           5,844
      65,000    WorldCom, Inc.*................................           3,148
                                                                       --------
                                                                          8,992

                THRIFT (1.4%)
      80,000    Federal Home Loan
                    Mortgage Corp. ............................           3,765
      60,000    Federal National Mortgage
                    Association................................           3,645
                                                                       --------
                                                                          7,410

                TOILETRIES/
                  COSMETICS (2.2%)
     200,000    Gillette Co. ..................................          11,338
                                                                       --------

                TOTAL COMMON STOCKS
                    AND TOTAL
                    INVESTMENT
                    SECURITIES (102.4%)
                    (Cost $248,319,000) .......................         535,373
                                                                       --------

EXCESS OF LIABILITIES OVER
  CASH AND RECEIVABLES (-2.4%) ................................         (12,638)
                                                                       --------

NET ASSETS (100%)   ...................................                $522,735
                                                                       ========

NET ASSET VALUE, OFFERING
  AND REDEMPTION PRICE PER
  OUTSTANDING SHARE
  ($522,735,253 / 11,950,034 shares of
  capital stock outstanding) ..................................        $  43.74
                                                                       ========

* Non-income producing

See Notes to Financial Statements.


- --------------------------------------------------------------------------------
                                                                               7
<PAGE>


Value Line Leveraged Growth Investors, Inc.

Statement of Assets
and Liabilities at June 30, 1998 (unaudited)
- -------------------------------------------------------------------------------
                                                                      Dollars
                                                                   (in thousands
                                                                    except per
                                                                   share amount)
                                                                   -------------
Assets:
Investment securities, at value
  (Cost-$248,319) .........................................          $ 535,373
Cash ......................................................                 47
Receivable for capital shares sold ........................                963
Dividends receivable ......................................                186
                                                                     ---------
      Total Assets ........................................            536,569
                                                                     ---------
Liabilities:
Payable for loan outstanding ..............................             10,450
Payable for securities purchased ..........................              2,825
Payable for capital shares repurchased ....................                153
Accrued expenses:
  Advisory fee ............................................                309
  Other ...................................................                 97
                                                                     ---------
      Total Liabilities ...................................             13,834
                                                                     ---------
Net Assets ................................................          $ 522,735
                                                                     =========
Net Assets consist of:
Capital stock, at $1.00 par value
  (authorized 50,000,000,
  outstanding 11,950,034 shares) ..........................          $  11,950
Additional paid-in capital ................................            202,852
Accumulated net investment loss ...........................               (224)
Undistributed net realized gain
  on investments ..........................................             21,103
Net unrealized appreciation
  of investments ..........................................            287,054
                                                                     ---------
Net Assets ................................................          $ 522,735
                                                                     =========
Net Asset Value, Offering and
  Redemption Price per
  Outstanding Share
  ($522,735,253 / 11,950,034
  shares outstanding) .....................................          $   43.74
                                                                     =========


Statement of Operations
for the six months ended June 30, 1998 (unaudited)
- --------------------------------------------------------------------------------


                                                                     Dollars
                                                                  (in thousands)
                                                                  -------------
Investment Income:
Dividends ..............................................            $  1,126
Interest ...............................................                 684
                                                                    --------
      Total Income .....................................               1,810
                                                                    --------
Expenses:
Advisory fee ...........................................               1,775
Transfer agent fees ....................................                  79
Postage ................................................                  29
Registration and filing fees ...........................                  27
Custodian fees .........................................                  26
Auditing and legal fees ................................                  21
Telephone ..............................................                  20
Commitment fee .........................................                  15
Printing ...............................................                  15
Interest expense .......................................                  13
Directors' fees and expenses ...........................                   8
Insurance, dues and other ..............................                   8
                                                                    --------
      Total Expenses Before
        Custody Credits ................................               2,036
      Less: Custody Credits ............................                  (2)
                                                                    --------
      Net Expenses .....................................               2,034
                                                                    --------
Net Investment Loss ....................................                (224)
                                                                    --------
Net Realized and Unrealized Gain
  on Investments:
  Net Realized Gain ....................................              19,870
  Change in Net Unrealized
    Appreciation .......................................              78,778
                                                                    --------
Net Realized Gain and Change in
  Net Unrealized Appreciation
  on Investments .......................................              98,648
                                                                    --------
Net Increase in Net Assets
  from Operations ......................................            $ 98,424
                                                                    ========

See Notes to Financial Statements.

- --------------------------------------------------------------------------------
8
<PAGE>


                                     Value Line Leveraged Growth Investors, Inc.

Statement  of  Changes in Net  Assets  for the six  months  ended June 30,  1998
(unaudited) and for the year ended December 31, 1997
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
                                                                        Six Months
                                                                           Ended          Year Ended
                                                                        June 30, 1998     December 31,
                                                                         (unaudited)         1997
                                                                       -----------------------------
                                                                            (Dollars in thousands)
<S>                                                                    <C>                 <C>
Operations:
  Net investment loss .......................................          $    (224)          $    (683)
  Net realized gain on investments ..........................             19,870              37,875
  Change in net unrealized appreciation .....................             78,778              46,969
                                                                       -----------------------------
  Net increase in net assets from operations ................             98,424              84,161
                                                                       -----------------------------

Distributions to Shareholders:
  Net investment income .....................................               --                  --   
  Net realized gain from investment transactions ............               --               (35,549)
                                                                       -----------------------------
  Total distributions .......................................               --               (35,549)
                                                                       -----------------------------

Capital Share Transactions:
  Proceeds from sale of shares ..............................            139,494             163,122
  Proceeds from reinvestment of distributions to shareholders               --                33,787
  Cost of shares repurchased ................................           (147,998)           (183,766)
                                                                       -----------------------------
  (Decrease) Increase from capital share transactions .......             (8,504)             13,143
                                                                       -----------------------------

Total Increase ..............................................             89,920              61,755

Net Assets:
  Beginning of period .......................................            432,815             371,060
                                                                       -----------------------------
  End of period .............................................          $ 522,735           $ 432,815
                                                                       =============================

Accumulated net investment (loss) income, at end of period ..          $    (224)          $    --
                                                                       =============================
</TABLE>




See Notes to Financial Statements.

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

Value Line Leveraged Growth Investors, Inc.

Notes to Financial Statements
- --------------------------------------------------------------------------------

1.   Significant Accounting Policies

Value Line Leveraged Growth Investors, Inc. (the "Fund") is registered under the
Investment  Company  Act  of  1940,  as  amended,  as  a  diversified,  open-end
management  investment  company  whose sole  investment  objective is to realize
capital growth.  The Fund may employ  "leverage" by borrowing money and using it
for the purchase of additional  securities.  Borrowing for investment  increases
both investment opportunity and investment risk.

The preparation of financial  statements in conformity  with generally  accepted
accounting principles requires management to make estimates and assumptions that
affect  the  reported  amounts  of assets  and  liabilities  and  disclosure  of
contingent  assets and  liabilities at the date of the financial  statements and
the  reported  amounts of revenues  and expenses  during the  reporting  period.
Actual results could differ from those estimates.  The following is a summary of
significant  accounting  policies  consistently  followed  by  the  Fund  in the
preparation of its financial statements.

(A)  Security  Valuation.   Securities  listed  on  a  securities  exchange  and
over-the-counter  securities  traded on the NASDAQ national market are valued at
the  closing  sales  price on the date as of which the net asset  value is being
determined.  In the absence of closing sales prices for such  securities and for
securities traded in the over-the-counter  market, the security is valued at the
midpoint between the latest available and  representative  asked and bid prices.
Securities for which market  quotations  are not readily  available or which are
not readily marketable and all other assets of the Fund are valued at fair value
as the Board of Directors  may determine in good faith.  Short-term  instruments
with  maturities  of 60 days or less,  at the date of  purchase,  are  valued at
amortized cost which approximates market value.

(B)  Repurchase  Agreements.  In  connection  with  transactions  in  repurchase
agreements,  the Fund's custodian takes possession of the underlying  collateral
securities,  the value of which exceeds the principal  amount of the  repurchase
transaction,  including  accrued  interest.  To the extent  that any  repurchase
transaction   exceeds  one  business  day,  the  value  of  the   collateral  is
marked-to-market  on a daily basis to ensure the adequacy of the collateral.  In
the event of default of the obligation to repurchase,  the Fund has the right to
liquidate  the  collateral  and  apply  the  proceeds  in  satisfaction  of  the
obligation.  Under certain circumstances,  in the event of default or bankruptcy
by the  other  party to the  agreement,  realization,  and/or  retention  of the
collateral or proceeds may be subject to legal proceedings.

(C)  Federal  Income  Taxes.  It  is  the  Fund's  policy  to  comply  with  the
requirements  of the Internal  Revenue Code  applicable to regulated  investment
companies,  including  the  distribution  requirements  of the Tax Reform Act of
1986,  and to  distribute  all  of  its  taxable  income  to  its  shareholders.
Therefore, no federal income tax or excise tax provision is required.

(D) Security Transactions and Distributions. Security transactions are accounted
for on the date the securities are purchased or sold. Interest income is accrued
as earned.  Realized  gains and losses on sales of securities are calculated for
financial  accounting  and Federal  income tax purposes on the  identified  cost
basis.  Dividend income and  distributions  to shareholders  are recorded on the
ex-dividend  date.  Distributions  are determined in accordance  with income tax
regulations which may differ from generally accepted accounting principles.

(E) Amortization.  Discounts on debt securities are amortized to interest income
over the life of the security with a  corresponding  increase to the  security's
cost basis; premiums on debt securities are not amortized.

(F) Financial  Futures  Contracts.  A financial futures contract is an agreement
between two  parties to buy or sell  financial  instruments  at a set price on a
future date.  Upon  entering into such a contract the Fund is required to pledge
to the broker cash, or U.S. Government securities, equal to the minimum "initial
margin"  requirements  of  the  applicable  futures  exchange.  Pursuant  to the
contract, the Fund agrees to receive from or to pay the broker an amount of cash
equal to the daily  fluctuation  in the value of the contract.  Such receipts or
payments  are  known  as  "variation  margin"  and are  recorded  by the Fund as
unrealized  gains or losses.  When the  contract is closed,  the Fund  records a
realized gain or loss equal to the difference  between the value of the contract
at the time it was opened and the value at the time it was closed.


- --------------------------------------------------------------------------------
10
<PAGE>

                                     Value Line Leveraged Growth Investors, Inc.

                                                       June 30, 1998 (unaudited)
- --------------------------------------------------------------------------------

2.   Capital Share Transactions, Dividends and Distributions to Shareholders

Transactions  in capital stock were as follows:  (in thousands  except per share
amounts)

                                      Six Months
                                        Ended
                                       June 30,         Year Ended
                                         1998           December 31,
                                      (unaudited)           1997
                                     -------------------------------
Shares sold ..................            3,502             4,587
Shares issued to shareholders
  in reinvestment of dividends
  and distributions ..........             --               1,006
                                       --------------------------
                                          3,502             5,593
Shares repurchased ...........            3,716             5,206
                                       --------------------------
Net (decrease) increase ......             (214)              387
                                       ==========================
Dividends per share from net
  investment income ..........          $  --             $  --   
                                       ==========================
Distributions per share from
  net realized gains .........          $  --             $ 3.235
                                       ==========================

3.   Purchases and Sales of Securities

Purchases and sales of investment  securities,  excluding short-term securities,
were as follows:

                                                           Six Months Ended
                                                            June 30, 1998
                                                             (unaudited)
                                                            --------------
                                                            (in thousands)
Purchases:
Investment Securities ...............................           $96,110
                                                                =======
Sales:
Investment Securities ...............................           $59,925
                                                                =======

At June 30, 1998,  the  aggregate  cost of  investments  securities  for federal
income  tax  purposes,   was  $248,319,000.   The  aggregate   appreciation  and
depreciation  of  investments  at  June  30,  1998,  based  on a  comparison  of
investment   values  and  their  costs  for  federal  income  tax  purposes  was
$289,663,000  and $2,609,000,  respectively,  resulting in a net appreciation of
$287,054,000.

4.   Investment  Advisory  Contract,  Management  Fees,  and  Transactions  With
     Affiliates

An  advisory  fee of  $1,775,000  was paid or payable to Value Line,  Inc.  (the
Adviser), the Fund's investment adviser, for the six months ended June 30, 1998.
This was  computed at the rate of 3/4 of 1% of average  daily net assets for the
period and paid monthly. 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 and employees of the Fund and pays their salaries
and wages.  The Fund bears all other costs and  expenses.  

Certain  officers and directors of the Adviser and its wholly owned  subsidiary,
Value  Line   Securities,   Inc.  (the  Fund's   distributor  and  a  registered
broker/dealer),  are also  officers  and a director of the Fund.  During the six
months  ended  June 30,  1998,  the Fund paid  brokerage  commissions  totalling
$62,000 to the distributor,  which clears its transactions  through unaffiliated
brokers. The Adviser and/or affiliated companies and the Value Line, Inc. Profit
Sharing and  Savings  Plan owned  890,815  shares of the Fund's  capital  stock,
representing 7.5% of the outstanding shares at June 30, 1998.

5.   Borrowing Arrangement

The Fund has a line of credit agreement with State Street Bank and Trust (SSBT),
in the amount of  $37,500,000.  The terms of the agreement  are as follows:  The
first $12.5 million is available on a committed basis which at the Fund's option
may be either at the  Bank's  prime rate or at the  Federal  Funds Rate plus 1%,
whichever is less,  and will be subject to a commitment  fee of 1/4 of 1% on the
unused portion thereof; amounts in excess of $12.5 million are made available on
an unsecured basis at the same interest rate options stated above.

The Fund had  borrowings  outstanding  of  $10,450,000  at June  30,  1998.  The
weighted average amount of bank loans  outstanding for the period ended June 30,
1998, amounted to approximately  $373,000 at a weighted average interest rate of
6.8%. For the six months ended June 30, 1998,  interest expense of approximately
$13,000 and  commitment  fees of  approximately  $15,000  relating to borrowings
under the agreement were paid or payable to SSBT.


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

Value Line Leveraged Growth Investors, Inc.

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

Selected data for a share of capital stock outstanding throughout each period:

<TABLE>
<CAPTION>
                                      Six Months Ended                       Years Ended December 31,
                                       June 30, 1998    ------------------------------------------------------------------
                                        (unaudited)        1997             1996          1995         1994         1993
                                        ----------------------------------------------------------------------------------
<S>                                     <C>             <C>              <C>            <C>          <C>         <C>
Net asset value,
  beginning of period ...............   $   35.58       $   31.51        $   28.50      $   23.18    $   24.67   $   22.15
                                        ----------------------------------------------------------------------------------
Income (loss) from
  investment operations:
  Net investment (loss) income ......        (.02)           (.06)            (.01)           .09          .12         .06
  Net gains or losses on securities
    (both realized and unrealized) ..        8.18            7.37             6.40           8.48        (1.05)       3.50
                                        ----------------------------------------------------------------------------------
  Total from investment operations ..        8.16            7.31             6.39           8.57         (.93)       3.56
                                        ----------------------------------------------------------------------------------
Less distributions:
  Dividends from net
    investment income ...............        --              --                  #           (.09)        (.12)       (.06)
  Distributions from capital gains ..        --             (3.24)           (3.38)         (3.16)        (.31)       (.98)
  Distributions in excess of
    capital gains ...................        --              --               --             --           (.13)       --
                                        ----------------------------------------------------------------------------------
  Total distributions ...............        --             (3.24)           (3.38)         (3.25)        (.56)      (1.04)
                                        ----------------------------------------------------------------------------------
Net asset value, end of period ......   $   43.74       $   35.58        $   31.51      $   28.50    $   23.18   $   24.67
                                        ==================================================================================
Total return ........................       22.94%+         23.79%           22.31%         37.06%      -3.71%       16.20%
                                        ==================================================================================
Ratios/Supplemental Data:
Net assets, end of period
  (in thousands) ....................   $ 522,735       $ 432,815        $ 371,060      $ 337,280    $ 264,803   $ 302,345
Ratio of expenses to average net
  assets (including interest expense)         .86%*(1)        .86%(1)          .88%(1)        .88%         .89%        .92%
Ratio of net investment (loss)
  income to average net assets ......        (.09)%*        (0.17)%           (.02)%          .31%         .49%        .22%
Portfolio turnover rate .............          13%+            37%              34%            54%          49%         80%
Average amount of debt outstanding
  during the period (in thousands) ..   $     373       $      97        $     398      $      44         --     $   1,651
Average number of shares
  outstanding during the period
  (in thousands) ....................      12,085          11,411           11,752         11,357       11,635      12,410
Average amount of debt per
  outstanding share during
  the period ........................   $     .03       $   .0085        $     .03      $    .004         --     $     .13
</TABLE>

#    Dividend paid was less than one cent.
(1)  Before offset for custody credits.
+    Not annualized
*    Annualized.

See Notes to Financial Statements

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

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

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
                      Alan N. Hoffman
                      Vice President
                      Stephen E. Grant
                      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
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).

                                                                         #501005



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