VALUE LINE CONVERTIBLE FUND INC
N-30D, 2000-12-13
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================================================================================

                               ------------------
                               SEMI-ANNUAL REPORT
                               ------------------
                                October 31, 2000
                               ------------------


                                   Value Line
                                   Convertible
                                   Fund, Inc.






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



<PAGE>

Value Line Convertible Fund, Inc.

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

To Our Shareholders:

I am pleased to report that your convertible fund returned 17.01% for the twelve
months ended October 31, 2000. The Fund's performance  exceeded by a wide margin
the results of its benchmark, the Value Line Convertible Index.

As shown below, your Fund's return was more than four times greater than that of
the unmanaged Value Line  Convertible  Index,  which reflects the performance of
the domestic convertible market, by tracking over 600 convertible securities.

                            12 Months Ending 10/31/00
o Value Line Convertible Fund.........................................    17.01%
o Value Line Convertible Index* ......................................     4.03%
o S&P 500*............................................................     6.78%
o Russell 2000*.......................................................    16.74%
o Lehman Brothers Gov/Credit*.........................................     7.13%
o Lehman High Yield Bond*.............................................    -1.61%

The financial markets have experienced a very tumultuous period during which the
stock  market  has  gone  through  dramatic  rallies  earlier  in the  year  and
corrections subsequently. The Dow* was up 4.6%; the S&P 500* index gained 6.78%,
while the Russell 2000* index  rocketed up 16.7% for the 12 months ended October
31, 2000.

Interest rates were also volatile.  As represented by the  thirty-year  Treasury
bond,  interest  rates  had moved up to 6.75% by  January  of this year and then
began a steady decline to close the period at 5.77%, resulting in strong returns
for high-grade bonds. High-yield bonds suffered a setback,  however, as concerns
about rising default rates,  questionable  business models,  and an inability to
obtain needed financing, doused investor confidence.

Your Fund  benefited  from a below market  weight in the  telecommunication  and
technology sectors. Additionally, several new issues were purchased at favorable
prices  relative to the general  market.  As these issues returned to fair value
returns were enhanced.

The current outlook for the markets is mixed, given uncertainties  regarding the
slowing domestic economy, the still up-in-the air presidential election, and the
outlook for inflation.  The relatively high equity  valuations have been sharply
reduced.  Indeed,  although there may be some further price declines, we believe
that the stock  market is near a bottom  and  setting  the stage for a return to
more  normal  annual  returns in the  10-12%  range.  We  anticipate  slow,  but
sustainable economic growth, moderate earnings growth and muted inflation.

The resolution of the election process should have a calming effect on the stock
market and add a little upward pressure on interest rates until further signs of
a prolonged  moderation in economic activity  surface.  A moderation in economic
growth  would take the  pressure  off  long-term  interest  rates,  allowing the
Treasury  bond  rates to perhaps  move  gradually  toward 5% next  year.  Gently
declining  interest  rates would support higher equity prices well into the next
millennium and, therefore,  excellent  risk-adjusted  performance by convertible
securities.  We believe that a sound investment policy,  including an allocation
to convertible securities will reduce risk and enhance overall results.

Our strategy is to focus on lower-risk convertibles with good liquidity,  strong
capitalization  and solid  credit  worthiness  that  offer  favorable  leverage.
Favorable  leverage  is  a  balance  between  potential  securities  with  solid
fundamentals and a high rank in the Value Line Convertible Survey.

As always,  your  confidence in Value Line is appreciated and we look forward to
serving your future investment needs.

                            Sincerely,

                            /s/ Jean Bernhard Buttner
                            Jean Bernhard Buttner
                            Chairman and President
November 22, 2000

*unmanaged

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

<PAGE>

                                               Value Line Convertible Fund, Inc.

Convertible Fund Shareholders
--------------------------------------------------------------------------------

Economic Observations

The U.S.  economy is now clearly  proceeding along a much slower growth track as
we move through the final weeks of the year.  Evidence of this  deceleration  in
business  activity  can be found in the most  recent  figures on  manufacturing,
retail  spending,  and  employment.  Overall,  we estimate  that GDP growth will
average 3%, or less, through the early part of 2001. Thereafter, we would expect
the pace of economic  activity to hold at a comparatively  restrained  3.0%-3.5%
over the balance of the upcoming year, as the succession of interest-rate  hikes
voted for by the Federal  Reserve Board over the past year and a half  continues
to have the hoped-for  effect of stabilizing  the economy at comfortably  modest
growth levels.

Inflationary  pressures,  meanwhile,  continue  to be held in check for the most
part,  with  sustained  increases  in  productivity  and  ongoing  technological
innovations  being at least partially  responsible for this comparative  pricing
stability.  Nevertheless,  a moderate  increase  in cost  pressures  could still
evolve over the next few  quarters,  particularly  if energy prices resume their
uncontrolled  ascent and the projected  moderation  in economic  growth fails to
continue, two events that we do not currently expect to take place.

Meanwhile,  the  Federal  Reserve,  taking  note of the  current  slower pace of
business activity and the comparatively  muted inflation  figures,  is likely to
maintain  a  stable-to-lower  interest-rate  structure  over  the  next  several
quarters.


Performance Data:*

                                                         Average       Value of
                                                         Annual       an Assumed
                                                          Total       Investment
                                                         Return       of $10,000
                                                         ------       ----------
 1 year ended 9/30/00................................    29.93%        $12,993
 5 years ended 9/30/00...............................    15.32%         20,396
10 years ended 9/30/00...............................    14.78%         39,672


*    The performance data quoted represent past performance and are no guarantee
     of future  performance.  The average  annual  total return 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  at October  31,  2000 for the  one-year,  five-year  and  ten-year
     periods were 17.01%, 14.55%, and 14.72%, respectively.

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


<PAGE>

Value Line Convertible Fund, Inc.

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

Schedule of Investments (unaudited)
=====================================================================

   Principal
    Amount                                                Value
---------------------------------------------------------------------
CONVERTIBLE CORPORATE BONDS & NOTES (59.7%)

                 ADVERTISING (1.5%)
     $ 500,000   Getty Images, Inc.
                    5%, 3/15/07.....................       $ 362,500
     1,000,000   Young & Rubicam, Inc.
                    3%, 1/15/05.....................       1,002,500
                                                          ----------
                                                           1,365,000
                 CABLE TV (1.8%)
       500,000   Charter Communications,
                    Inc. Series 144A,
                    5 3/4%, 10/15/05*...............         544,375
     1,000,000   EchoStar Communications
                    Corp. 4 7/8%, 1/1/07............       1,167,500
                                                          ----------
                                                           1,711,875
                 COMPUTER &
                   PERIPHERALS (1.9%)
     1,000,000   Juniper Networks, Inc.
                    4 3/4%, 3/15/07.................       1,356,250
       500,000   Redback Networks, Inc.
                    5%, 4/1/07......................         435,000
                                                          ----------
                                                           1,791,250

                 COMPUTER SOFTWARE
                   & SERVICES (6.7%)
       500,000   Affiliated Computer Services,
                    Inc. 4%, 3/15/05................         701,250
       500,000   BEA Systems, Inc. Series
                    144A, 4%, 12/15/06..............       1,090,000
       500,000   Rational Software Corp.
                    Series 144A,
                    5%, 2/1/07*.....................         911,250
       500,000   Siebel Systems, Inc.
                    5 1/2%, 9/15/06.................       2,340,000
       500,000   USinternetworking, Inc.
                    7%, 11/1/04.....................         193,750
       250,000   Veritas Software Corp.
                    1.856%, 8/13/06.................       1,001,562
                                                          ----------
                                                           6,237,812

                 DRUG (8.3%)
    $3,000,000   ALZA Corp. Series 144A,
                    Zero Coupon, 7/28/20*...........     $ 1,995,000
     1,000,000   Athena Neurosciences, Inc.
                    4 3/4%, 11/15/04................       1,440,000
       500,000   Cor Theraputics, Inc.
                    Series 144A,
                    5%, 3/1/07*.....................         863,125
       500,000   Human Genome Sciences,
                    Inc. 3 3/4%, 3/15/07............         485,000
       250,000   ImClone Systems, Inc.
                    Series 144A,
                    5 1/2%, 3/1/05*.................         287,188
       500,000   Invitrogen Corp. Series 144A,
                    5 1/2%, 3/1/07*.................         563,125
       600,000   Millennium Pharmaceuticals,
                    Inc. 5 1/2%, 1/15/07............       1,107,750
     1,000,000   Teva Pharmaceuticals
                    Finance LLC Series 144A,
                    1 1/2%, 10/15/05*...............         993,750
                                                          ----------
                                                           7,734,938
                 E-COMMERCE (1.2%)
       500,000   i2 Technologies, Inc.
                    5 1/4%, 12/15/06................       1,161,875

                 ELECTRICAL
                   EQUIPMENT (0.5%)
       500,000   Semtech Corp. Series 144A,
                    4 1/2%, 2/1/07*.................         483,750

                 ELECTRONICS (4.9%)
       500,000   ACT Manufacturing, Inc.
                    7%, 4/15/07.....................         460,625
     2,200,000   Sanmina Corp. Series 144A,
                    Zero Coupon, 9/12/20*...........       1,023,000
     1,000,000   SCI Systems, Inc.
                    3%, 3/15/07.....................       1,036,250
     2,000,000   Solectron Corp.
                    Zero Coupon, 1//27/19...........       1,450,000
       900,000   Solectron Corp.
                    Zero Coupon, 5/08/20............         604,125
                                                          ----------
                                                           4,574,000

---------------------------------------------------------------------
4
<PAGE>

                                    Value Line Convertible Fund, Inc.

                                                     October 31, 2000
=====================================================================

   Principal
    Amount                                                Value
---------------------------------------------------------------------
                 ENTERTAINMENT (1.1%)
    $2,000,000   Jacor Communications, Inc.
                    Zero Coupon, 2/9/18.............     $ 1,072,500

                 FINANCIAL SERVICES--
                   DIVERSIFIED (1.1%)
     1,000,000   Loews Corp. 3 1/8%,
                    9/15/07.........................         827,500
       250,000   Providian Financial Corp.
                    3 1/4%, 8/15/05.................         245,000
                                                          ----------
                                                           1,072,500

                 FOREIGN
                   TELECOMMUNICATIONS
                   (1.3%)
     1,000,000   Telefonos de Mexico S.A.
                    de CV 4 1/4%, 6/15/04...........       1,255,000

                 INSURANCE--PROPERTY/
                   CASUALTY (3.4%)
     1,000,000   Berkshire Hathaway, Inc.
                    1%, 12/2/01.....................       3,158,750

                 INTERNET (1.3%)
     2,000,000   America Online, Inc.
                    Zero Coupon, 12/6/19............       1,012,500
       150,000   VerticalNet, Inc.
                    5 1/4%, 9/27/04.................         215,437
                                                          ----------
                                                           1,227,937

                 MEDICAL SERVICES (0.7%)
       250,000   Affymetrix, Inc.
                    5%, 10/1/06.....................         282,813
       500,000   Health Management
                    Associates, Inc.
                    Series 144A,
                    0.25%, 8/16/20*.................         355,625
                                                          ----------
                                                             638,438

                 MEDICAL SUPPLIES (1.3%)
     1,000,000   Centocor, Inc.
                    4 3/4%, 2/15/05.................       1,246,250

                 OILFIELD SERVICES/
                   EQUIPMENT (1.7%)
    $1,000,000   Diamond Offshore Drilling,
                    Inc. 3 3/4%, 2/15/07............     $ 1,018,750
       900,000   Transocean Sedco Forex Inc.
                    Zero Coupon, 5/24/20............         541,125
                                                          ----------
                                                           1,559,875

                 PETROLEUM--
                   INTEGRATED (0.7%)
       500,000   Kerr-McGee Corp.
                    5 1/4%, 2/15/10.................         612,500

                 PETROLEUM--
                   PRODUCING (0.9%)
     1,000,000   Anadarko Petroleum Corp.
                    Zero Coupon, 3/07/20............         805,000

                 PRECISION
                   INSTRUMENT (1.6%)
     2,002,000   PerkinElmer, Inc.
                    Zero Coupon, 8/07/20............       1,526,525

                 R.E.I.T. (2.0%)
     2,000,000   Healthcare Realty Trust, Inc.
                    6.55%, 3/14/02..................       1,865,000

                 RETAIL--SPECIAL
                   LINES (1.0%)
     1,000,000   AnnTaylor Stores Corp.
                    0.55%, 6/18/19..................         483,750
       500,000   Charming Shoppes, Inc.
                    7 1/2%, 7/15/06.................         463,125
                                                          ----------
                                                             946,875

                 RETAIL STORE (0.9%)
     1,000,000   Costco Companies Inc.
                    Zero Coupon, 8/19/17............         877,500

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

Value Line Convertible Fund, Inc.

Schedule of Investments (unaudited)
=====================================================================

   Principal
    Amount                                                Value
---------------------------------------------------------------------
                 SEMICONDUCTOR (6.1%)
     $ 500,000   ASM Lithography Holding
                    N.V. Series 144A,
                    4 1/4%, 11/30/04*...............       $ 505,000
       250,000   Advanced Energy Industries,
                    Inc. 5 1/4%, 11/15/06...........         181,250
       500,000   Analog Devices Inc.
                    Series 144A,
                    4 3/4%, 10/01/05*...............         470,000
       250,000   Burr-Brown Corp.
                    Series 144A,
                    4 1/4%, 2/15/07*................         349,062
       250,000   Conexant Systems, Inc.
                    4 1/4%, 5/1/06..................         325,000
       500,000   Cypress Semiconductor
                    Corp. 4%, 2/1/05................         532,500
       500,000   DuPont Photomasks, Inc.
                    Zero Coupon, 7/24/04............         460,625
       500,000   General Semiconductor,
                    Inc. 5 3/4%, 12/15/06...........         461,875
       250,000   International Rectifier Corp.
                    Series 144A
                    4 1/4%, 7/15/07*................         211,563
       500,000   Lattice Semiconductor Corp.
                    4 3/4%, 11/1/06.................         766,250
       500,000   TranSwitch Corp.
                    Series 144A,
                    4 1/2%, 9/12/05*................         573,125
     1,000,000   Vitesse Semiconductor
                    Corp.  Series 144A,
                    4%, 3/15/05*....................         873,750
                                                          ----------
                                                           5,710,000

                 SEMICONDUCTOR CAPITAL
                   EQUIPMENT (0.5%)
       500,000   Kulicke & Soffa Industries,
                    Inc. 4 3/4%, 12/15/06...........         445,000

                 TELECOMMUNICATIONS
                   EQUIPMENT (1.3%)
       500,000   American Tower Corp.
                    2 1/4%, 10/15/09................         643,750
     $ 500,000   Gilat Satellite Networks Ltd.
                    Series 144A,
                    4 1/4%, 3/15/05 *...............       $ 321,250
       250,000   ONI Systems Corp.
                    5%, 10/15/05....................         256,250
                                                          ----------
                                                           1,221,250

                 TELECOMMUNICATION
                   SERVICES (2.9%)
     1,000,000   Bell Atlantic Financial
                    Services Inc. Series 144A,
                    4 1/4%, 9/15/05*................       1,113,750
       500,000   ITC DeltaCom, Inc.
                    4 1/2%, 5/15/06.................         253,750
       500,000   Level 3 Communications,
                    Inc. 6%, 9/15/09................         464,375
     1,000,000   Nextel Communications,
                    Inc. 5 1/4%, 1/15/10............         827,500
                                                          ----------
                                                           2,659,375

                 TOILETRIES/
                   COSMETICS (1.1%)
     2,000,000   Avon Products, Inc.
                    Series 144A,
                    Zero Coupon, 7/12/20 *..........       1,025,000

                 TRUCKING/
                   TRANSPORTATION
                   LEASING (1.2%)
     1,000,000   United Parcel Service, Inc.
                    1 3/4%, 9/27/07.................       1,091,250

                 WIRELESS
                   NETWORKING (0.8%)
     1,000,000   RF Micro Devices, Inc.
                    Series 144A,
                    3 3/4%, 8/15/05*................         725,000
                                                          ----------

                 TOTAL CONVERTIBLE
                 CORPORATE BONDS
                 & NOTES
                 (Cost $46,182,756) ................     $55,802,025
                                                          ----------


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

                                    Value Line Convertible Fund, Inc.

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

                                                     October 31, 2000
=====================================================================

    Shares                                                Value
---------------------------------------------------------------------

CONVERTIBLE PREFERRED STOCKS (18.9%)

                 BANK (2.4%)
        10,000   Banco Commercial Portugues
                    S.A. $4.00 exchangeable
                    Series "A"......................       $ 970,000
        50,000   National Australia Bank
                    Ltd. Cap Units 7 7/8%,
                    exchangeable Pfd................       1,259,375
                                                          ----------
                                                           2,229,375

                 CABLE TV (0.6%)
         7,000   Comcast Corp. 2%, exchangeable
                    Pfd (into Sprint Corporation
                    PCS Group)......................         520,625

                 ELECTRIC UTILITY--
                   CENTRAL (1.7%)
        10,000   AES Trust III 6 3/4%,
                    Pfd.............................         890,000
        10,000   AES Trust VII 6%,
                    Series 144A, Pfd.*..............         709,375
                                                          ----------
                                                           1,599,375

                 ELECTRIC UTILITY--
                   EAST (1.0%)
         5,000   Dominion Resources, Inc.
                    9 1/2%, Unit (consisting of 1
                    stock purchase contract and
                    50,000 par amount of senior
                    notes having a combined
                    rate of 9 1/2%, per year,
                    payable quarterly)..............         290,625
        10,000   SEI Trust I 6.25%,
                    "A", Pfd........................         604,375
                                                          ----------
                                                             895,000

                 ELECTRIC UTILITY--
                   WEST (1.5%)
        25,000   Calpine Capital Trust III
                    5%, Series 144A,Pfd.*...........       1,368,750

                 ELECTRONICS (0.6%)
        20,000   Titan Capital Trust 5 3/4%,
                    Series 144A Pfd.................       $ 570,000

                 ENTERTAINMENT (0.2%)
         4,000   Emmis Communications
                    Corp. 6 1/4%,
                    Series "A" Pfd..................         172,000

                 INSURANCE--
                   LIFE (2.8%)
        30,000   MetLife Capital Trust I
                    8%, Pfd.........................       2,628,750

                 INTERNET (0.4%)
        20,000   PSINet, Inc. 6 3/4%,
                    Series "C" Pfd..................         398,750

                 PACKAGING &
                   CONTAINER (1.5%)
        30,000   Sealed Air Corp.
                    $2.00 exchangeable
                    Series "A" Pfd..................       1,413,750

                 PETROLEUM--
                   PRODUCING (1.0%)
        20,000   Apache Corp. 6 1/2%,
                    Series "C" Pfd..................         952,500

                 RAILROAD (0.7%)
        14,500   Union Pacific Capital Trust
                    6 1/4%, Pfd.....................         652,500

                 TELECOMMUNICATION
                   SERVICES (2.9%)
        10,000   BroadWing Inc.
                    6 3/4%, Pfd.....................         488,125
        10,000   Crown Castle International
                    Corp.  6 1/4%, Pfd..............         491,875
        15,000   DECS Trust VI 6 1/4%,
                    exchangeable Pfd.
                    (exchangeable into
                    Metromedia Fiber
                    Network, Inc.)..................         552,188

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

Value Line Convertible Fund, Inc.

Schedule of Investments (unaudited)                  October 31, 2000
=====================================================================


    Shares                                                Value
---------------------------------------------------------------------


                 TELECOMMUNICATION
                   SERVICES (2.9%)
                   (Continued)
         5,000   Global Crossing Ltd. 6 3/8%,
                    Pfd.............................       $ 358,125
        20,000   MediaOne Group, Inc.
                    7%, exchangeable Pfd............         835,000
                                                          ----------
                                                           2,725,313

                 THRIFT (1.6%)
        15,000   Bank United Corp.
                    8%, Pfd.........................       1,016,250
        10,000   Sovereign Capital Trust II
                    7 1/2%, Unit (consisting
                    of 1 share 7 1/2%, preferred
                    stock and 1 warrant to
                    purchase 5.3355 shares
                    of common stock)................         528,750
                                                          ----------
                                                           1,545,000
                                                          ----------

                 TOTAL CONVERTIBLE
                 PREFERRED STOCKS
                 (Cost $16,655,805) ................      17,671,688
                                                          ----------


COMMON STOCKS (0.0%)

                 TELECOMMUNICATION
                   SERVICES (0.0%)
           615   Mpower Communications
                    Corp.**.........................           3,997
         1,473   Network Plus Corp.**...............          11,600
                                                          ----------
                                                              15,597
                                                          ----------

                 TOTAL COMMON
                 STOCKS
                 (Cost $31,723) ....................          15,597
                                                          ----------

                 TOTAL INVESTMENT
                 SECURITIES (78.6%)
                 (Cost $62,870,284) ................      73,489,310
                                                          ----------



   Principal
    Amount                                                Value
--------------------------------------------------------------------------------

REPURCHASE AGREEMENTS (8.6%)
(including accrued interest)
    $4,000,000   Collateralized by $4,035,000
                    U.S. Treasury Notes 5 5/8%,
                    due 12/31/02, with a value
                    of $4,084,382 (with State
                    Street Bank & Trust Co.,
                    6.44%, dated 10/31/00,
                    due 11/1/00, delivery
                    value $4,000,715)...............     $ 4,000,715
     4,000,000   Collateralized by $4,000,000
                    U.S. Treasury Notes 5 3/4%,
                    due 11/30/02, with a value
                    of $4,078,648 (with
                    Warburg Dillon Read LLC,
                    6.45%, dated 10/31/00,
                    due 11/1/00, delivery
                    value $4,000,717)...............       4,000,717
                                                          ----------

TOTAL REPURCHASE
AGREEMENTS (Cost $8,001,432) .......................       8,001,432
                                                          ----------

CASH AND OTHER ASSETS IN
EXCESS OF LIABILITIES (12.8%) ......................      11,938,445
                                                          ----------

NET ASSETS (100.0%)  ...............................     $93,429,187
                                                          ----------

NET ASSET VALUE, OFFERING
AND REDEMPTION PRICE
PER OUTSTANDING SHARE
($93,429,187 / 5,920,750
shares outstanding) ................................         $ 15.78
                                                          ----------


*    Pursuant to Rule 144A under the Securities  Act of 1933,  this Security can
     only be sold to qualified institutional investors.

**Non-income producing.


See Notes to Financial Statements.
---------------------------------------------------------------------
8

<PAGE>

                                    Value Line Convertible Fund, Inc.
---------------------------------------------------------------------


Statement of Assets and Liabilities
at October 31, 2000 (unaudited)
================================================================================

Assets:
Investment securities, at value
  (Cost--$62,870,284)..............................      $73,489,310
Repurchase agreements
  (Cost--$8,001,432)...............................        8,001,432
Cash .............................................           93,523
Receivable for capital shares sold ...............       11,517,404
Receivable for securities sold ...................        1,364,190
Interest and dividends receivable ................          404,864
                                                         ----------
    Total Assets .................................       94,870,723
                                                         ----------
Liabilities:
Payable for securities sold ......................        1,300,000
Payable for capital shares repurchased ...........            4,955
Accrued expenses:
  Advisory fee ...................................           55,603
  Service and distribution plan
    fees payable..................................           18,534
  Other ..........................................           62,444
                                                         ----------
    Total Liabilities ............................        1,441,536
                                                         ----------
Net Assets .......................................      $93,429,187
                                                         ----------
Net assets consist of:
Capital stock, at $1.00 par value
  (authorized 50,000,000,
  outstanding 5,920,750 shares)...................      $ 5,920,750
Additional paid-in capital .......................       66,535,291
Undistributed net investment income ..............          335,881
Undistributed net realized gain
  on investments..................................       10,018,239
Net unrealized appreciation
  of investments .................................       10,619,026
                                                         ----------
Net Assets .......................................      $93,429,187
                                                         ----------
Net Asset Value, Offering and
  Redemption Price per
  Outstanding Share
  ($93,429,187 / 5,920,750
  shares outstanding) ............................          $ 15.78
                                                         ----------


Statement of Operations
for the six months ended October 31, 2000 (unaudited)
================================================================================

Investment Income:
Interest .......................................        $ 1,459,540
Dividends ......................................            602,452
                                                        -----------
    Total Income ...............................          2,061,992
                                                        -----------
Expenses:
Advisory fee ...................................            352,489
Service and distribution plan fee ..............             78,643
Auditing and legal fees ........................             23,190
Transfer agent .................................             20,240
Insurance, dues and other ......................             18,361
Custodian fees .................................             13,064
Printing .......................................             11,960
Directors' fees and expenses ...................             10,261
Registration and filing fees ...................             10,120
Quote charge ...................................              7,570
Postage ........................................              7,360
Telephone ......................................              4,048
                                                        -----------
    Total Expenses before
      custody credits ..........................            557,306
    Less: custody credits ......................             (3,221)
                                                        -----------
    Net Expenses ...............................            554,085
                                                        -----------
Net Investment Income ..........................          1,507,907
                                                        -----------
Net Realized and Unrealized Gain
  (Loss) on Investments:
    Net Realized Gain ..........................            641,052
    Change in Net Unrealized
      Appreciation..............................         (3,286,449)
                                                        -----------
Net Realized Gain and Change in
  Net Unrealized Appreciation
  on Investments ...............................         (2,645,397)
                                                        -----------
Net Decrease in Net Assets
  from Operations ..............................      $  (1,137,490)
                                                        -----------





See Notes to Financial Statements.

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



Value Line Convertible Fund, Inc.


Statement of Changes in Net Assets
for the six months ended October 31, 2000 (unaudited) and for the year ended
April 30, 2000
--------------------------------------------------------------------------------

<TABLE>
<CAPTION>

                                                                                        Six Months Ended       Year Ended
                                                                                        October 31, 2000        April 30,
                                                                                           (unaudited)            2000
                                                                                        ----------------------------------

<S>                                                                                     <C>                 <C>
          Operations:
              Net investment income ..............................................      $   1,507,907       $   2,409,761
              Net realized gain on investments ...................................            641,052          15,545,541
              Change in net unrealized appreciation (depreciation) ...............         (3,286,449)          5,770,571
                                                                                        -------------       -------------
              Net (decrease) increase in net assets from operations ..............         (1,137,490)         23,725,873
                                                                                        -------------       -------------

          Distributions to Shareholders:
              Net investment income ..............................................         (1,551,281)         (2,174,561)
              Net realized gain from investment transactions .....................               --                  --
                                                                                        -------------       -------------
              Total distributions ................................................         (1,551,281)         (2,174,561)
                                                                                        -------------       -------------

          Capital Share Transactions:
              Proceeds from sale of shares .......................................        373,297,621         342,538,029
              Proceeds from reinvestment of distributions to shareholders ........          1,222,163           1,781,292
              Cost of shares repurchased .........................................       (382,160,494)       (331,389,237)
                                                                                        -------------       -------------
              Net (decrease) increase from capital share transactions ............         (7,640,710)         12,930,084
                                                                                        -------------       -------------

          Total (Decrease) Increase in Net Assets ................................        (10,329,481)         34,481,396

          Net Assets:
              Beginning of period ................................................        103,758,668          69,277,272
                                                                                        -------------       -------------
              End of period ......................................................      $  93,429,187       $ 103,758,668
                                                                                        -------------       -------------

          Undistributed net investment income, at end of period ..................      $     335,881       $     379,255
                                                                                        -------------       -------------
</TABLE>






See Notes to Financial Statements.

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

<PAGE>

                                               Value Line Convertible Fund, Inc.


Notes to Financial Statements (unaudited)                       October 31, 2000
--------------------------------------------------------------------------------

1.  Significant Accounting Policies

Value  Line  Convertible  Fund,  Inc.  (the  "Fund")  is  registered  under  the
Investment  Company  Act  of  1940,  as  amended,  as  a  diversified,  open-end
management investment company whose investment objective is to seek high current
income  together with capital  appreciation.  The Fund seeks to  accomplish  its
objective by investing primarily in convertible securities.

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.  The Fund's  securities  are valued by an  independent
pricing service approved by the Fund's Board of Directors.  Securities for which
quotations  are not  available  from the pricing  service are valued at the mean
between the latest available and representative asked and bid prices provided by
dealers in such  securities.  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  investments that mature in less than 60 days are valued
at  amortized  cost if  their  original  maturity  was 60 days  or  less,  or by
amortizing their value on the 61st day prior to maturity, if their original term
exceeds 60 days.

(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 of 1986,  as amended,  applicable to
regulated  investment  companies 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. 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.  Permanent  differences are reclassified within the capital
accounts based on their federal tax basis  treatment.  Temporary  differences do
not require reclassification.

(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.


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

Value Line Convertible Fund, Inc.

Notes to Financial Statements (unaudited)                       October 31, 2000
--------------------------------------------------------------------------------

2.  Capital Share Transactions.

Transactions in capital stock were as follows:

                                                  Six Months
                                                     Ended            Year
                                                  October 31,         Ended
                                                     2000           April 30,
                                                  (unaudited)         2000
                                                  --------------------------
          Shares sold .................            23,055,855     22,847,309
          Shares issued to shareholders
            in reinvestment
            of dividends ..............                73,699        119,957
                                                  --------------------------
                                                   23,129,554     22,967,266
          Shares repurchased ..........            23,476,796     22,123,684
                                                  --------------------------
          Net (decrease) increase .....              (347,242)       843,582
                                                  ==========================

3.  Purchases and Sales of Securities

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

                                                              Six Months
                                                                 Ended
                                                           October 31, 2000
                                                              (unaudited)
                                                            --------------

PURCHASES:
  Investment Securities ..........................             $20,725,106
                                                                ----------

SALES OR REDEMPTIONS:
  Investment Securities ..........................             $25,284,081
                                                                ----------

At October 31, 2000 the aggregate  cost of investment  securities and repurchase
agreements  for federal  income tax  purposes  was  $70,871,716.  The  aggregate
appreciation  and  depreciation  of investments at October 31, 2000,  based on a
comparison of investment values and their costs for federal income tax purposes,
was $14,269,226 and $3,650,200 respectively,  resulting in a net appreciation of
$10,619,026.

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

An  advisory  fee of  $352,489  was paid or payable  to Value  Line,  Inc.  (the
Adviser),  for the six months ended  October 31, 2000.  This was computed at the
annual rate of 3/4 of 1% of average  daily net assets during the period and paid
monthly. The Adviser provides research, investment programs,  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.

At a special  meeting of  shareholders  held on June 15, 2000, the  shareholders
approved the adoption of a Service and Distribution  Plan (the "Plan") effective
July 1, 2000.  The Plan,  adopted  pursuant to Rule 12b-1  under the  Investment
Company Act of 1940,  provides for the payment of certain  expenses  incurred by
Value Line Securities,  Inc. (the "Distributor"),  a wholly-owned  subsidiary of
the Adviser,  in advertising,  marketing and  distributing the Fund's shares and
for servicing the Fund's  shareholders  at an annual rate of 0.25% of the Fund's
average daily net assets.  Fees amounting to $78,643 were paid or payable to the
Distributor under this Plan for the period from July 1 to October 31, 2000.

For the six months ended October 31, 2000,  the Fund's  expenses were reduced by
$3,221 under a custody credit arrangement with the Custodian.

Certain  officers  and  directors of the Adviser and the  Distributor,  are also
officers and a director of the Fund.

The Adviser  and/or  affiliated  companies  owned  176,922  shares of the Fund's
capital stock, representing 3.0% of the outstanding shares at October 31, 2000.


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

                                               Value Line Convertible Fund, Inc.


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

Selected data for a share of capital stock outstanding throughout each period:
<TABLE>
<CAPTION>

                                               Six Months Ended                              Years Ended April 30,
                                               October 31, 2000    -----------------------------------------------------------------
                                                 (unaudited)          2000           1999          1998          1997         1996
                                                  ----------       -----------------------------------------------------------------
<S>                                                   <C>             <C>           <C>           <C>           <C>          <C>
Net asset value, beginning
  of period ...................................       $16.55          $12.77        $14.80        $13.07        $14.10       $11.79
                                                  ----------------------------------------------------------------------------------

  Income (loss) from investment
    operations:
  Net investment income .......................          .26             .43           .57           .65           .70          .66
  Net gains or losses on securities
    (both realized and unrealized).............         (.77)           3.75         (1.33)         2.50           .50         2.33
                                                  ----------------------------------------------------------------------------------
    Total from investment operations ..........         (.51)           4.18          (.76)         3.15          1.20         2.99
                                                  ----------------------------------------------------------------------------------

  Less distributions:
    Dividends from net
      investment income........................         (.26)           (.40)         (.60)         (.67)         (.65)        (.68)
    Distributions from net
      realized gains ..........................           --              --          (.67)         (.75)        (1.58)          --
                                                  ----------------------------------------------------------------------------------
    Total distributions .......................         (.26)           (.40)        (1.27)        (1.42)        (2.23)        (.68)
                                                  ----------------------------------------------------------------------------------
Net asset value, end of period ................       $15.78          $16.55        $12.77        $14.80        $13.07       $14.10
                                                  ----------------------------------------------------------------------------------
Total return ..................................        -3.15%+         33.21%        -4.64%        25.04%         8.80%       26.07%
                                                  ----------------------------------------------------------------------------------

Ratios/Supplemental Data:
Net assets, end of period
  (in thousands) ..............................      $93,429        $103,759       $69,277       $97,679       $68,684      $72,620
Ratio of expenses to
  average net assets...........................        1.16%*(2)       1.00%(2)      1.00%(1)       .98%(1)      1.01%(1)     1.08%
Ratio of net investment income
  to average net assets........................        3.14%*          3.03%         3.98%         4.63%         4.94%        5.14%
Portfolio turnover rate .......................         26%+            127%          123%          111%          164%         129%
</TABLE>


(1)  Before offset of custody credits.

(2)  Ratio  reflects  expenses  grossed up for custody credit  arrangement.  The
     ratio of expenses net of custody credits would have been 0.99% for the year
     ended  April 30,  2000 and  1.15%*  (unaudited)  for the six  months  ended
     October 31, 2000.

 +   Not annualized.

 *   Annualized.


See Notes to Financial Statements.
--------------------------------------------------------------------------------
                                                                              13
<PAGE>

Value Line Convertible Fund, Inc.

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









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


14
<PAGE>
                                               Value Line Convertible Fund, Inc.

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












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--------------------------------------------------------------------------------
                                                                              15
<PAGE>


Value Line Convertible Fund, Inc.

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

1950--The Value Line Fund seeks long-term growth of capital. Current income is a
secondary objective.

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

1956--Value Line Special  Situations Fund seeks long-term growth of capital.  No
consideration is given to current income in the choice of investments.

1972--Value  Line Leveraged  Growth  Investors' sole investment  objective is to
realize capital growth.

1979--The  Value Line Cash Fund, a money market fund,  seeks to secure as high a
level  of  current  income  as is  consistent  with  maintaining  liquidity  and
preserving  capital.  An  investment in the Fund is not insured or guaranteed by
the  Federal  Deposit  Insurance  Corporation  or any other  government  agency.
Although  the Fund seeks to preserve the value of your  investment  at $1.00 per
share, it is possible to lose money by investing in the Fund.

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

1983--Value Line Centurion Fund* seeks long-term growth of capital.

1984--The Value Line Tax Exempt Fund seeks to provide investors with the 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 the  National  Bond  Portfolio.  The fund may be  subject to state and local
taxes and the Alternative Minimum Tax (if applicable).

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.

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 income
taxes while avoiding undue risk to principal.  The Trust may be subject to state
and local taxes and the Alternative Minimum Tax (if applicable).

1987--Value Line Strategic Asset Management Trust* seeks to achieve a high total
investment return consistent with reasonable risk.

1993--Value Line Emerging  Opportunities 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 asset mix.

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

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

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



--------------------------------------------------------------------------------
16

<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 219729
                              Kansas City, MO 64121-9729

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

LEGAL COUNSEL                 Peter D. Lowenstein, Esq.
                              Two Sound View Drive, Suite 100
                              Greenwich, CT 06830

DIRECTORS                     Jean Bernhard Buttner
                              John W. Chandler
                              Frances T. Newton
                              Francis C. Oakley
                              David H. Porter
                              Paul Craig Roberts
                              Marion N. Ruth
                              Nancy-Beth Sheerr

OFFICERS                      Jean Bernhard Buttner
                              Chairman and President
                              Bruce H. Alston
                              Vice President
                              David T. Henigson
                              Vice President and
                              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).


                                                                         #514994



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