VALUE LINE CONVERTIBLE FUND INC
485BPOS, 1997-08-20
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<PAGE>
   
    AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON AUGUST 20, 1997
    
 
                                                                FILE NO. 2-96484
                                                               FILE NO. 811-4258
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
 
                              WASHINGTON, DC 20549
                                 --------------
 
                                   FORM N-1A
 
                             REGISTRATION STATEMENT
                                     UNDER
                           THE SECURITIES ACT OF 1933                        /X/
                                 --------------
 
                          Pre-Effective Amendment No.                        / /
 
   
                        Post-Effective Amendment No. 14                      /X/
    
 
                                      and
 
                        REGISTRATION STATEMENT UNDER THE
                         INVESTMENT COMPANY ACT OF 1940                      /X/
   
                                Amendment No. 14                             /X/
    
                                 -------------
 
                       VALUE LINE CONVERTIBLE FUND, INC.
 
               (Exact Name of Registrant as Specified in Charter)
 
                              220 East 42nd Street
                            New York, New York          10017-5891
                   (ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)    (ZIP CODE)
 
       Registrant's Telephone Number, including Area Code: (212) 907-1500
 
                               David T. Henigson
                                Value Line, Inc.
                              220 East 42nd Street
                         New York, New York 10017-5891
                    (NAME AND ADDRESS OF AGENT FOR SERVICE)
 
                                    Copy to:
                           Peter D. Lowenstein, Esq.
                         Two Greenwich Plaza, Suite 100
                              Greenwich, CT 06830
                                 --------------
 
        It is proposed that this filing will become effective (check
        appropriate box)
 
        / / immediately upon filing pursuant to paragraph (b)
   
        /X/ on September 1, 1997 pursuant to paragraph (b)
    
        / / 60 days after filing pursuant to paragraph (a)
        / / on (date) pursuant to paragraph (a) of rule 485
                                 --------------
 
   
PURSUANT TO THE PROVISIONS OF RULE 24F-2 UNDER THE INVESTMENT COMPANY ACT OF
1940, REGISTRANT HAS REGISTERED AN INDEFINITE NUMBER OF SHARES OF CAPITAL STOCK
UNDER THE SECURITIES ACT OF 1933. REGISTRANT FILED ITS RULE 24F-2 NOTICE FOR THE
YEAR ENDED APRIL 30, 1997 ON OR ABOUT JUNE 19, 1997.
    
 
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- --------------------------------------------------------------------------------
<PAGE>
                        VALUE LINE CONVERTIBLE FUND, INC
                                   FORM N-1A
                             CROSS REFERENCE SHEET
                           (AS REQUIRED BY RULE 495)
 
<TABLE>
<CAPTION>
N-1A ITEM NO.                                                                            LOCATION
- ----------------                                                          ---------------------------------------
<S>               <C>                                                     <C>
PART A (PROSPECTUS)
    Item  1.      Cover Page............................................  Cover Page
    Item  2.      Synopsis..............................................  Not Applicable
    Item  3.      Condensed Financial Information.......................  Summary of Fund Expenses; Financial
                                                                            Highlights
    Item  4.      General Description of Registrant.....................  Cover Page; Investment Objective and
                                                                            Policies; Investment Restrictions;
                                                                            Additional Information
    Item  5.      Management of the Fund................................  Summary of Fund Expenses; Management of
                                                                            the Fund; Additional Information
    Item  6.      Capital Stock and Other Securities....................  Dividends, Distributions and Taxes;
                                                                            Additional Information
    Item  7.      Purchase of Securities Being Offered..................  How to Buy Shares; Calculation of Net
                                                                            Asset Value; Investor Services
    Item  8.      Redemption or Repurchase..............................  How to Redeem Shares
    Item  9.      Pending Legal Proceedings.............................  Not Applicable
 
PART B (STATEMENT OF ADDITIONAL INFORMATION)
    Item 10.      Cover Page............................................  Cover Page
    Item 11.      Table of Contents.....................................  Table of Contents
    Item 12.      General Information and History.......................  Additional Information (Part A)
    Item 13.      Investment Objectives and Policies....................  Investment Objective and Policies;
                                                                            Investment Restrictions
    Item 14.      Management of the Fund................................  Directors and Officers
    Item 15.      Control Persons and Principal Holders of Securities...  Management of the Fund (Part A);
                                                                            Directors and Officers
    Item 16.      Investment Advisory and Other Services................  Management of the Fund (Part A); The
                                                                            Adviser
    Item 17.      Brokerage Allocation..................................  Management of the Fund (Part A);
                                                                            Brokerage Arrangements
    Item 18.      Capital Stock and Other Securities....................  Additional Information (Part A)
    Item 19.      Purchase, Redemption and Pricing of Securities Being
                    Offered.............................................  How to Buy Shares; Suspension of
                                                                            Redemptions; Calculation of Net Asset
                                                                            Value (Part A)
    Item 20.      Tax Status............................................  Taxes
    Item 21.      Underwriters..........................................  Not Applicable
    Item 22.      Calculation of Performance Data.......................  Performance Information (Part A);
                                                                            Performance Data
    Item 23.      Financial Statements..................................  Financial Statements
</TABLE>
 
PART C
    Information required to be included in Part C is set forth under the
appropriate Item, so numbered, in Part C to this Registration Statement.
<PAGE>
 
   
<TABLE>
<S>                                    <C>
                                        PROSPECTUS
VALUE LINE                             September 1,
CONVERTIBLE FUND, INC.                     1997
</TABLE>
    
 
  220 East 42nd Street, New York, New York 10017-5891
  1-800-223-0818 or 1-800-243-2729
 
               Value Line Convertible Fund, Inc. (the "Fund") is
               a no-load 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 Fund's investment adviser is Value Line, Inc.
               (the "Adviser").
 
               Shares of the Fund are offered at net asset value.
               There are no sales charges or redemption fees.
 
   
    This Prospectus sets forth concise information about the Fund that a
    prospective investor ought to know before investing. This Prospectus
    should be retained for future reference. Additional information about
    the Fund is contained in a Statement of Additional Information, dated
    September 1, 1997, which has been filed with the Securities and Exchange
    Commission and is incorporated into this Prospectus by reference. A copy
    of the Statement of Additional Information may be obtained at no charge
    by writing or telephoning the Fund at the address or telephone numbers
    listed above.
    
 
                                  DISTRIBUTOR
                          Value Line Securities, Inc.
                              220 East 42nd Street
                         New York, New York 10017-5891
 
  THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
  EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE
  COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE ACCURACY OR
  ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A
  CRIMINAL OFFENSE.
<PAGE>
                            SUMMARY OF FUND EXPENSES
 
   
<TABLE>
<S>                                                                                <C>
SHAREHOLDER TRANSACTION EXPENSES
  Sales Load on Purchases........................................................       None
  Sales Load on Reinvested Dividends.............................................       None
  Deferred Sales Load............................................................       None
  Redemption Fees................................................................       None
  Exchange Fee...................................................................       None
ANNUAL FUND OPERATING EXPENSES (AS A PERCENTAGE OF AVERAGE NET ASSETS)
  Management Fees................................................................      0.75%
  12b-1 Fees.....................................................................       None
  Other Expenses.................................................................      0.26%
  Total Fund Operating Expenses..................................................      1.01%
</TABLE>
    
 
   
<TABLE>
<CAPTION>
EXAMPLE                                                    1 YEAR       3 YEARS      5 YEARS     10 YEARS
                                                         -----------  -----------  -----------  -----------
 
<S>                                                      <C>          <C>          <C>          <C>
You would pay the following expenses on a $1,000
  investment, assuming (1) 5% annual return and (2)
  redemption at the end of each time period:...........   $      10    $      32    $      56    $     124
</TABLE>
    
 
   
    The foregoing is based upon the expenses for the year ended April 30, 1997,
and is designed to assist investors in understanding the various costs and
expenses that an investor in the Fund will bear directly or indirectly. ACTUAL
EXPENSES IN THE FUTURE MAY BE GREATER OR LESS THAN THOSE SHOWN.
    
 
FINANCIAL HIGHLIGHTS
(SELECTED DATA FOR A SHARE OF CAPITAL STOCK OUTSTANDING THROUGHOUT EACH PERIOD)
 
   
    The following information on selected per share data and ratios with respect
to each of the five years in the period ended April 30, 1997, and the related
financial statements, have been audited by Price Waterhouse LLP, independent
accountants, whose unqualified report thereon appears in the Fund's Annual
Report to Shareholders which is incorporated by reference in the Statement of
Additional Information. This information should be read in conjunction with the
financial statements and notes thereto which also appear in the Fund's Annual
Report to Shareholders available from the Fund without charge.
    
 
                                       2
<PAGE>
   
<TABLE>
<CAPTION>
                                                                          YEARS ENDED APRIL 30,
                                               ----------------------------------------------------------------------------
                                                  1997         1996         1995         1994         1993         1992
                                               -----------  -----------  -----------  -----------  -----------  -----------
<S>                                            <C>          <C>          <C>          <C>          <C>          <C>
Net asset value, beginning of year...........     $14.10        $11.79       $12.26       $13.80       $12.24       $11.07
                                               -----------  -----------  -----------  -----------  -----------  -----------
 INCOME (LOSS) FROM INVESTMENT OPERATIONS:
    Net investment income....................        .70          .66          .74          .71          .62          .65
    Net gains or losses on securities (both
     realized and unrealized)................        .50          2.33         (.02 )       .11          1.54         1.13
                                               -----------  -----------  -----------  -----------  -----------  -----------
      Total from investment operations.......        1.20         2.99         .72          .82          2.16         1.78
                                               -----------  -----------  -----------  -----------  -----------  -----------
 LESS DISTRIBUTIONS:
    Dividends from net investment income.....        (.65 )       (.68 )       (.76 )       (.69 )       (.60 )       (.61 )
    Distributions from capital gains.........       (1.58 )         --         (.43 )      (1.67 )         --           --
                                               -----------  -----------  -----------  -----------  -----------  -----------
      Total distributions....................       (2.23 )       (.68 )      (1.19 )      (2.36 )       (.60 )       (.61 )
                                               -----------  -----------  -----------  -----------  -----------  -----------
Net asset value, end of year.................      $13.07       $14.10       $11.79       $12.26       $13.80       $12.24
                                               -----------  -----------  -----------  -----------  -----------  -----------
                                               -----------  -----------  -----------  -----------  -----------  -----------
Total return.................................        8.80 %      26.07 %       6.53 %       5.50 %      18.16 %      16.42 %
RATIOS/SUPPLEMENTAL DATA:
Net assets, end of year (in thousands).......      $68,684      $72,620      $50,523      $49,823      $43,936      $37,177
Ratio of expenses to average net assets......        1.01 %(1)       1.08 %       1.08 %       1.07 %       1.10 %       1.14 %
Ratio of net investment income to average net
  assets.....................................        4.94 %       5.14 %       6.13 %       5.32 %       4.80 %       5.45 %
Portfolio turnover rate......................         164 %        129 %         87 %        142 %        146 %        140%
Average commisions paid per share of stock
  investments purchased/sold.................      $.0500 (2)    N/A        N/A          N/A          N/A          N/A
 
<CAPTION>
 
                                                  1991         1990         1989         1988
                                               -----------  -----------  -----------  -----------
<S>                                            <C>          <C>          <C>          <C>
Net asset value, beginning of year...........      $10.90       $11.45       $10.28       $12.36
                                               -----------  -----------  -----------  -----------
 INCOME (LOSS) FROM INVESTMENT OPERATIONS:
    Net investment income....................        .62          .69          .69          .54
    Net gains or losses on securities (both
     realized and unrealized)................        .38          (.62 )       1.06        (1.46 )
                                               -----------  -----------  -----------  -----------
      Total from investment operations.......        1.00         .07          1.75         (.92 )
                                               -----------  -----------  -----------  -----------
 LESS DISTRIBUTIONS:
    Dividends from net investment income.....        (.83 )       (.62 )       (.58 )       (.68 )
    Distributions from capital gains.........          --           --           --         (.48 )
                                               -----------  -----------  -----------  -----------
      Total distributions....................        (.83 )       (.62 )       (.58 )      (1.16 )
                                               -----------  -----------  -----------  -----------
Net asset value, end of year.................      $11.07       $10.90       $11.45       $10.28
                                               -----------  -----------  -----------  -----------
                                               -----------  -----------  -----------  -----------
Total return.................................        9.98 %       0.51 %      17.68 %      -7.86 %
RATIOS/SUPPLEMENTAL DATA:
Net assets, end of year (in thousands).......      $36,553      $44,818      $62,074      $64,693
Ratio of expenses to average net assets......        1.19 %       1.05 %       1.03 %       1.06 %
Ratio of net investment income to average net
  assets.....................................        5.50 %       5.81 %       6.32 %       4.78 %
Portfolio turnover rate......................         216 %        105 %        112 %        257 %
Average commisions paid per share of stock
  investments purchased/sold.................     N/A          N/A          N/A          N/A
</TABLE>
    
 
- ----------
   
(1) Before custody credits.
    
 
   
(2) Disclosure effective for fiscal years beginning on or after September 1,
    1995.
    
 
INVESTMENT OBJECTIVE AND POLICIES
 
    The investment objective of the Fund is to seek high current income together
with capital appreciation. The Fund's investment objective cannot be changed
without shareholder approval. There can be no assurance that such objective will
be achieved as there are risks in all investments.
 
BASIC INVESTMENT STRATEGY
 
    In seeking its investment objective, under normal market conditions the Fund
will invest at least 70% of the value of its net assets in "convertible
securities"--that is, bonds, debentures, corporate notes, preferred stocks or
other securities which are convertible into common stock. The balance may be
invested in non-convertible debt or equity securities, warrants, U.S. government
securities, repurchase agreements or other money market instruments. Securities
received upon conversion or exercise of warrants and securities remaining upon
the breakup of units or detachments of warrants may also be retained in the
Fund's portfolio to permit orderly disposition or for federal income tax
purposes. The Fund is not required to sell securities for the purpose of
assuring that 70% of its assets are invested in convertible securities. When the
Fund's Adviser deems it advisable because of unusual economic or market
conditions, part or all of the Fund's assets may be temporarily held in cash,
cash equivalents or invested in U.S. government securities or in other
high-quality debt securities. The Fund may also lend its portfolio securities,
write covered call options, make short sales, and enter into repurchase
agreements.
 
                                       3
<PAGE>
    In selecting securities for purchase or sale, the Adviser relies on the
Value Line Ranking System for convertible securities which has evolved over many
years of research. The return provided by a convertible security depends largely
on the performance of the common stock for which it can be exchanged. Thus, the
Value Line Ranking System's evaluation of the convertible begins with its
ranking of the underlying common stock, using the Value Line Timeliness-TM-
Ranking System or the Value Line Performance-TM- Ranking System. The Value Line
Timeliness Ranking System, which has been used in substantially its present form
since 1965, is based upon historical prices and reported earnings, recent
earnings and price momentum and the degree to which the latest reported earnings
deviate from estimated earnings. The Timeliness Rankings are published weekly in
the Standard Edition of The Value Line Investment Survey for approximately 1,700
stocks. On a scale of 1 (highest) to 5 (lowest), the Timeliness Rankings compare
the Adviser's estimate of the probable market performance of each Standard
Edition stock during the coming twelve months relative to all 1,700 stocks under
review in the Standard Edition. The Value Line Performance Ranking System for
common stocks was introduced in 1995. It is a variation of the Value Line
Small-Capitalization Ranking System, which has been employed in managing pension
client assets since 1981, and in managing the Value Line Small-Cap Growth Fund,
Inc. since 1993. The Performance Ranking System evaluates the approximately
1,800 stocks in the Expanded Edition of The Value Line Investment Survey. This
stock selection system relies on factors similar to those found in the Value
Line Timeliness Ranking System. The Performance Ranks use a scale of 1 (highest)
to 5 (lowest) to compare the Adviser's estimate of the probable market
performance of each Expanded Edition stock during the coming twelve months
relative to all 1,800 stocks under review in the Expanded Edition. The rank for
the common stock is then combined with the Adviser's evaluation of the
convertible, using a statistical evaluation model to assign a rank to the
approximately 600 convertibles and more than 50 warrants in The Value Line
Convertibles Survey. The Value Line Convertible Ranking System, which has been
published in essentially its present form since 1973, makes a comparison of the
historic price relationship of the convertible to its underlying stock (or to
other issues of a similar nature) making adjustments for any changes in
conditions that have occurred, to estimate the degree to which the convertible
may be underpriced or overpriced. Each convertible is then ranked on a scale of
1 (highest) to 5 (lowest) based on the total return (from income or dividends
plus appreciation) the Adviser estimates it will provide relative to its risk
during the coming year. The Value Line Convertible Rankings are published four
times a month in The Value Line Convertibles Survey.
 
   
    The Value Line Rankings do not eliminate market risk, but the Adviser
believes that they provide objective standards for determining whether the
market is undervaluing or overvaluing a particular security. Under normal
conditions, the Fund will confine its purchases to convertible securities ranked
1 or 2; those convertible securities that fall in rank below 2 will be sold as
soon as practical, although those ranked 1 or 2 may also be sold if the Adviser
deems a sale advisable. The number of convertible securities ranked 1 and 2 will
change from week to week. As of July 18, 1997, there were 62 convertible
securities ranked 1 and 88 ranked 2, not all of which will be purchased by the
Fund. Reliance on the Rankings is no assurance that the Fund will perform more
favorably than the market in general over any particular period.
    
 
    PORTFOLIO TURNOVER.  The Fund's annual portfolio turnover rate may exceed
100%. A portfolio turnover rate of 100% would occur if all of the Fund's
portfolio were replaced in a period of one year. To the extent that the Fund
engages in short-term trading in attempting to achieve its objective, it may
increase portfolio turnover and incur larger brokerage commissions and other
expenses than might otherwise be the case. The Fund's portfolio turnover rate
for recent fiscal years is set forth under "Financial Highlights", see page 3.
 
                                       4
<PAGE>
MISCELLANEOUS INVESTMENT PRACTICES
 
    LENDING PORTFOLIO SECURITIES.  The Fund may lend its portfolio securities to
broker-dealers or institutional investors if as a result thereof the aggregate
value of all securities loaned does not exceed 33 1/3% of the total assets of
the Fund. The loans will be made in conformity with applicable regulatory
policies and will be 100% collateralized by cash, cash equivalents or U.S.
Treasury bills on a daily basis in an amount equal to the market value of the
securities loaned and interest earned. The Fund will retain the right to call,
upon notice, the loaned securities and intends to call loaned voting securities
in anticipation of any important or material matter to be voted on by
stockholders. While there may be delays in recovery or even loss of rights in
the collateral should the borrower fail financially, the loans will be made only
to firms deemed by the Adviser to be of good standing and will not be made
unless, in the judgment of the Adviser, the consideration which can be earned
from such loans justifies the risk. The Fund may pay reasonable custodian and
administrative fees in connection with the loans.
 
    COVERED CALL OPTIONS.  The Fund may write covered call options on portfolio
securities held in its portfolio ("covered options") in an attempt to earn
additional income on its portfolio or to partially offset an expected decline in
the price of a security. When the Fund writes a covered call option, it gives
the purchaser of the option the right to buy the underlying security at the
price specified in the option (the "exercise price") at any time during the
option period. If the option expires unexercised, the Fund will realize income
to the extent of the amount received for the option (the "premium"). If the
option is exercised, a decision over which the Fund has no control, the Fund
must sell the underlying security to the option holder at the exercise price. By
writing a covered option, the Fund foregoes, in exchange for the premium less
the commission ("net premium"), the opportunity to profit during the option
period from an increase in the market value of the underlying security above the
exercise price. The Fund will not write call options in an aggregate amount
greater than 25% of its net assets and will only write call options which are
traded on a national securities exchange.
 
    The Fund will purchase call options only to close out a position. When an
option is written on securities in the Fund's portfolio and it appears that the
purchaser of that option is likely to exercise the option and purchase the
underlying security, it may be considered appropriate to avoid liquidating the
Fund's position, or the Fund may wish to extinguish a call option sold by it so
as to be free to sell the underlying security. In such instances the Fund may
purchase a call option on the same security with the same exercise price and
expiration date which had been previously written. Such a purchase would have
the effect of closing out the option which the Fund has written. The Fund
realizes a gain if the amount paid to purchase the call option is less than the
premium received for writing a similar option and a loss if the amount paid to
purchase a call option is greater than the premium received for writing a
similar option. If the underlying security has substantially risen in value, it
may be difficult or expensive to purchase the call option for the closing
transaction.
 
    SHORT SALES.  The Fund may from time to time make short sales of securities
in order to protect a profit or to attempt to minimize a loss with respect to
convertible securities. The Fund will only make a short sale of a security if it
owns other securities convertible into an equivalent amount of such securities.
No more than 10% of the value of the Fund's net assets taken at market may at
any one time be held as collateral for such sales.
 
    REPURCHASE AGREEMENTS.  The Fund may invest temporary cash balances in
repurchase agreements. A repurchase agreement involves a sale of securities to
the Fund, with the concurrent agreement of the seller (a member bank of the
Federal Reserve System or a securities dealer which the Adviser
 
                                       5
<PAGE>
believes to be financially sound) to repurchase the securities at the same price
plus an amount equal to an agreed-upon interest rate, within a specified time,
usually less than one week, but, on occasion, at a later time. The Fund will
make payment for such securities only upon physical delivery or evidence of
book-entry transfer to the account of the custodian or a bank acting as agent
for the Fund. Repurchase agreements may also be viewed as loans made by the Fund
which are collateralized by the securities subject to repurchase. The value of
the underlying securities will be at least equal at all times to the total
amount of the repurchase obligation, including the interest factor. In the event
of a bankruptcy or other default of a seller of a repurchase agreement, the Fund
could experience both delays in liquidating the underlying security and losses,
including (a) possible decline in the value of the underlying security during
the period while the Fund seeks to enforce its rights thereto; (b) possible
subnormal levels of income and lack of access to income during this period; and
(c) expenses of enforcing its rights. The Fund has a fundamental policy that it
will not enter into repurchase agreements which will not mature within seven
days if any such investment, together with all other assets held by the Fund
which are not readily marketable, amounts to more than 10% of its total assets.
The Board of Directors monitors the creditworthiness of parties dealing with the
Fund in repurchase agreements and loans of portfolio securities.
 
    RESTRICTED SECURITIES.  On occasion, the Fund may purchase securities which
would have to be registered under the Securities Act of 1933 if they were to be
publicly distributed. However, it will not do so if the value of such securities
and other securities which are not readily marketable (including repurchase
agreements maturing in more than seven days) would exceed 10% of the market
value of its total assets. It is management's policy to permit the occasional
acquisition of such restricted securities only if (except in the case of
short-term, non-convertible debt securities) there is an agreement by the issuer
to register such securities, ordinarily at the issuer's expense, when requested
to do so by the Fund. The acquisition in limited amounts of restricted
securities is believed to be helpful toward the attainment of the Fund's
investment objective without unduly restricting its liquidity or freedom in the
management of its portfolio. However, because restricted securities may only be
sold privately or in an offering registered under the Securities Act of 1933, or
pursuant to an exemption from such registration, substantial time may be
required to sell such securities, and there is greater than usual risk of price
decline prior to sale.
 
    In addition, the Fund may purchase certain restricted securities ("Rule 144A
securities") for which there is a secondary market of qualified institutional
buyers, as contemplated by Rule 144A under the Securities Act of 1933. Rule 144A
provides an exemption from the registration requirements of the Securities Act
for the resale of certain restricted securities to qualified institutional
buyers.
 
    The Adviser, under the supervision of the Board of Directors, will consider
whether securities purchased under Rule 144A are liquid or illiquid for purposes
of the Fund's limitation on investment in securities which are not readily
marketable or are illiquid. Among the factors to be considered are the frequency
of trades and quotes, the number of dealers and potential purchasers, dealer
undertakings to make a market and the nature of the security and the time needed
to dispose of it.
 
    To the extent that the liquid Rule 144A securities that the Fund holds
become illiquid, due to lack of sufficient qualified institutional buyers or
market or other conditions, the percentage of the Fund's assets invested in
illiquid assets would increase. The Adviser, under the supervision of the Board
of Directors, will monitor the Fund's investments in Rule 144A securities and
will consider appropriate measures to enable the Fund to maintain sufficient
liquidity for operating purposes and to meet redemption requests.
 
                                       6
<PAGE>
    FOREIGN SECURITIES.  The Fund may purchase U.S. dollar denominated
securities of foreign issuers which are publicly traded in the United States.
Foreign securities involve additional risks and may be affected by the strength
of foreign currencies relative to the U.S. dollar, or by political or economic
developments in foreign countries. Foreign companies may not be subject to
accounting standards or government supervision comparable to U.S. companies, and
there may be less public information about their operations. These risks are
typically greater for investments in less-developed countries whose governments
and financial markets may be more susceptible to adverse political and economic
developments. The Adviser considers these factors in making investments for the
Fund. There is no limitation on the amount of the Fund's assets that may be
invested in these types of foreign securities.
 
INVESTMENT RESTRICTIONS
 
    The Fund has adopted a number of investment restrictions which may not be
changed without shareholder approval. These are set forth in the Statement of
Additional Information and provide, among other things, that the Fund may not:
 
       (a) borrow in excess of 10% of the value of its assets and then only as a
           temporary measure;
 
       (b) purchase securities (other than U.S. government securities) if the
           purchase would cause the Fund, at the time, to have more than 5% of
    the value of its total assets invested in the securities of any one issuer
    or to own more than 10% of the outstanding voting securities of any one
    issuer; or
 
       (c) invest 25% or more of the value of the Fund's assets in securities of
           issuers in one particular industry.
 
MANAGEMENT OF THE FUND
 
    The management and affairs of the Fund are supervised by the Fund's Board of
Directors. The Fund's officers conduct and supervise the daily business
operations of the Fund. The Fund's investment decisions are made by an
investment committee of employees of the Adviser. The Fund's Annual Report
contains a discussion of the Fund's performance, which will be made available
upon request and without charge.
 
   
    THE ADVISER.  The Adviser was organized in 1982 and is the successor to
substantially all of the operations of Arnold Bernhard & Co., Inc. ("AB&Co.").
The Adviser was formed as part of a reorganization of AB&Co., a sole
proprietorship formed in 1931 which became a New York corporation in 1946.
AB&Co. currently owns approximately 81% of the outstanding shares of the
Adviser's common stock. Jean Bernhard Buttner, Chairman, President and Chief
Executive Officer of the Adviser, owns all of the voting stock of AB&Co. All of
the non-voting stock is owned by or for the benefit of members of the Bernhard
family and certain employees and former employees of the Adviser and AB&Co. The
Adviser currently acts as investment adviser to the other Value Line funds and
furnishes investment advisory services to private and institutional accounts
with combined assets in excess of $5 billion. Value Line Securities, Inc., the
Fund's distributor, is a subsidiary of the Adviser. The Adviser manages the
Fund's investments, provides various administrative services and supervises the
Fund's daily business affairs, subject to the authority of the Board of
Directors. The Adviser is paid an advisory fee at an annual rate of 3/4 of 1% of
the Fund's average daily net assets during the year (a fee which is higher than
that paid by many other investment companies, although comparable with
investment companies with investment policies similar to those of the Fund). For
more information about the Fund's management fees and expenses, see the "Summary
of Fund Expenses" on page 2.
    
 
                                       7
<PAGE>
    BROKERAGE.  The Fund pays a portion of its total brokerage commissions to
Value Line Securities, Inc. which clears transactions for the Fund through
unaffiliated broker-dealers.
 
CALCULATION OF NET ASSET VALUE
 
   
    The net asset value of the Fund's shares for purposes of both purchases and
redemptions is determined once daily as of the close of trading of the first
session of the New York Stock Exchange (currently 4:00 p.m., New York time) on
each day that the New York Stock Exchange is open for trading except on days on
which no orders to purchase, sell or redeem Fund shares have been received. The
holidays on which the New York Stock Exchange is closed currently are: New
Year's Day, Martin Luther King Jr. Day, President's Day, Good Friday, Memorial
Day, Independence Day, Labor Day, Thanksgiving Day and Christmas Day. The net
asset value per share is determined by dividing the total value of the
investments and other assets of the Fund, less any liabilities, by the total
outstanding shares.
    
 
    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, 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.
 
HOW TO BUY SHARES
 
   
    PURCHASE BY CHECK.  To buy shares, send a check made payable to "NFDS-Agent"
and a completed and signed application form to Value Line Funds, c/o National
Financial Data Services, Inc., P.O. Box 419729, Kansas City, MO 64141-6729.
Third party checks will not be accepted for either initial or subsequent
investments. For assistance in completing the application, call Value Line
Securities at 1-800-223-0818 during New York business hours. Upon receipt of the
completed purchase application and a check, National Financial Data Services,
Inc. ("NFDS"), the Fund's shareholder servicing agent, will buy full and
fractional shares (to three decimal places) at the net asset value next computed
after the funds are received and will confirm the investment to the investor.
Subsequent investments may be made by attaching a check to the confirmation's
"next payment" stub, by telephone or by federal funds wire. Investors may also
buy shares through broker-dealers other than Value Line Securities. Such
broker-dealers may charge investors a reasonable service fee. Neither Value Line
Securities nor the Fund receives any part of such fees when charged (and which
can be avoided by investing in the Fund directly). If an order to purchase
shares is cancelled due to nonpayment or because the investor's check does not
clear, the purchaser will be responsible for any loss incurred by the Fund or
Value Line Securities by reason of such cancellation. If the purchaser is a
shareholder, Value Line Securities reserves the right to redeem sufficient
shares from the shareholder's account to protect the Fund against loss. Minimum
orders are $1,000 for an initial purchase and $250 for each subsequent purchase.
The Fund may refuse any order for the purchase of shares.
    
 
                                       8
<PAGE>
    WIRE PURCHASE--$1,000 MINIMUM.  An investor should call 1-800-243-2729 to
obtain an account number. After receiving an account number, instruct your
commercial bank to wire transfer "federal funds" via the Federal Reserve System
as follows:
 
    State Street Bank and Trust Company, Boston, MA.
 
    ABA #011000028
 
    Attn: DDA #99049868
    Value Line Convertible Fund, Inc.
    A/C #________________________
    Shareholder's name and account information
    Tax ID #________________________
 
NOTE:  A COMPLETED AND SIGNED APPLICATION MUST BE MAILED IMMEDIATELY AND
RECEIVED BY NFDS BEFORE IT CAN HONOR ANY WITHDRAWAL OR EXCHANGE TRANSACTIONS.
 
    After your account has been opened you may wire additional investments in
the same manner.
 
    For an initial investment made by federal funds wire purchase, the wire must
include a valid social security number or tax identification number. Investors
purchasing shares in this manner will then have 30 days after purchase to
provide the certification and signed account application. All payments should be
made in U.S. dollar and, to avoid fees and delays, should be drawn on only U.S.
banks.
 
    SUBSEQUENT TELEPHONE PURCHASES--$250 MINIMUM.  Upon completion of the
telephone purchase authorization section of the account application,
shareholders who own Fund shares with a current value of $500 or more may also
purchase additional shares in amounts of $250 or more up to twice the value of
their shares by calling 1-800-243-2729 between 9:00 a.m. and 4:00 p.m. New York
time. Such orders will be priced at the closing net asset value on the day
received and payment will be due within three business days. If payment is not
received within the required time or a purchaser's check does not clear, the
order is subject to cancellation and the purchaser will be responsible for any
loss incurred by the Fund or Value Line Securities. Shares may not be purchased
by telephone for a tax-sheltered retirement plan.
 
DIVIDENDS, DISTRIBUTIONS AND TAXES
 
    The Fund distributes net investment income quarterly and any net realized
capital gains at least annually. Income dividends and capital gains
distributions are automatically reinvested in additional shares of the Fund
unless the shareholder has requested otherwise. Because the Fund intends to
distribute all of its net investment income and capital gains to shareholders,
it is not expected that the Fund will be required to pay any federal income
taxes. However, shareholders of the Fund normally will pay federal income taxes,
and any applicable state or local taxes, on the dividends and capital gains
distributions they receive from the Fund (whether or not reinvested in
additional Fund shares). Shareholders will be informed annually of the amount
and nature of the Fund's income and distributions.
 
PERFORMANCE INFORMATION
 
    The Fund may from time to time include information regarding its total
return performance or yield in advertisements or in information furnished to
existing or prospective shareholders. When information regarding total return is
furnished, it will be based upon changes in the Fund's net asset value and will
assume the reinvestment of all capital gains distributions and income dividends.
It will take into account nonrecurring charges, if any, which the Fund may incur
but will not take into account income taxes due on Fund distributions.
 
                                       9
<PAGE>
    The table below illustrates the total return performance of the Fund for the
periods indicated by showing the value of a hypothetical $1,000 investment made
at the beginning of each period. The information contained in the table has been
computed by applying the Fund's average annual total return to the hypothetical
$1,000 investment. The table assumes reinvestment of all capital gains
distributions and income dividends, but does not take into account income taxes
due on Fund distributions or dividends.
 
   
<TABLE>
<CAPTION>
                                                                                AVERAGE ANNUAL
                                                                                 TOTAL RETURN
                                                                               ----------------
<S>                                                                 <C>        <C>
For the year ended April 30, 1997.................................  $   1,088          8.80%
For the 5 years ended April 30, 1997..............................  $   1,821         12.74%
For the 10 years ended April 30, 1997.............................  $   2,542          9.78%
</TABLE>
    
 
    When information regarding "yield" is furnished it will refer to the net
investment income per share generated by an investment in the Fund over a
thirty-day period. This income will then be annualized by assuming that the
amount of income generated by the investment during that thirty-day period is
generated each 30 days over one year and assuming that the income is reinvested
every six months.
 
    Comparative performance information may be used from time to time in
advertising the Fund's shares, including data from Lipper Analytical Services,
Inc. and other industry or financial publications such as KIPLINGER'S PERSONAL
FINANCE, MONEY MAGAZINE, FINANCIAL WORLD, MORNINGSTAR, PERSONAL INVESTORS,
FORBES, FORTUNE, BUSINESS WEEK, WALL STREET JOURNAL, INVESTOR'S BUSINESS DAILY,
DONOGHUE and BARRON'S. The Fund may compare its performance to that of other
mutual funds with similar investment objectives and to stock or other relevant
indices. From time to time, articles about the Fund regarding its performance or
ranking may appear in national publications. Some of these publications may
publish their own rankings or performance reviews of mutual funds, including the
Fund. Reference to or reprints of such articles may be used in the Fund's
promotional literature.
 
    Investors should note that the investment results of the Fund will fluctuate
over time, and any presentation of the Fund's current yield, total return or
distribution rate for any period should not be considered as a representation of
what an investment may earn or what an investor's total return, yield or
distribution rate may be in any future period.
 
HOW TO REDEEM SHARES
 
    Shares of the Fund may be redeemed at any time at their current net asset
value next determined after NFDS receives a request in proper form. ALL REQUESTS
FOR REDEMPTION SHOULD BE SENT TO NFDS, P.O. BOX 419729, KANSAS CITY, MO
64141-6729. The value of shares of the Fund on redemption may be more or less
than the shareholder's cost, depending upon the market value of the Fund's
assets at the time. A shareholder with certificates for shares must surrender
the certificate properly endorsed with signature guaranteed. A signature
guarantee may be executed by any "eligible" guarantor. Eligible guarantors
include domestic banks, savings associations, credit unions, member firms of a
national securities exchange, and participants in the New York Stock Exchange
Medallion Signature Program, the Securities Transfer Agents Medallion Program
("STAMP") and the Stock Exchanges Medallion Program. A guaranty from a Notary
Public is not an acceptable source. The signature on any request for redemption
of shares not represented by certificates, or on any stock power in lieu
thereof, must be similarly guaranteed. In each case the signature or signatures
must correspond to the names in which the account is registered. Additional
documentation may be required when shares are registered in the name of a
corporation, agent or fiduciary. For further information, you should contact
NFDS.
 
                                       10
<PAGE>
    The Fund does not make a redemption charge but shares redeemed through
brokers or dealers may be subject to a service charge by such firms. A check for
the redemption proceeds will be mailed within seven days following receipt of
all required documents. However, payment may be postponed under unusual
circumstances such as when normal trading is not taking place on the New York
Stock Exchange. In addition, shares purchased by check may not be redeemed for
up to 15 calendar days following the purchase date.
 
    If the Board of Directors determines that it is in the best interests of the
Fund, the Fund has the right to redeem, upon prior written notice, at net asset
value, all shareholder accounts which, due to redemptions, fall below $500 in
net asset value. In such event, an investor will have 30 days to increase the
shares in his account to the minimum level.
 
    BY TELEPHONE OR WIRE.  You may redeem shares by telephone or wire
instructions to NFDS by so indicating on the initial application. Payment will
normally be transmitted on the business day following receipt of your
instructions to the bank account at the member bank of the Federal Reserve
System you have designated on your initial purchase application. The Fund
employs reasonable procedures to confirm that instructions communicated by
telephone are genuine. These procedures include requiring some form of personal
identification prior to acting upon instructions received by telephone. The Fund
will not be liable for following instructions communicated by telephone that it
reasonably believes to be genuine. Any loss will be borne by the investor. Heavy
wire traffic may delay the arrival of a wire until after public hours at your
bank. Telephone or wire redemptions must be in amounts of $1,000 or more and
your instructions must include your name and account number. The number to call
before the close of business on the New York Stock Exchange is 1-800-243-2729.
Procedures for redeeming Fund shares by telephone may be modified or terminated
without notice at any time by the Fund.
 
    BY CHECK.  You may elect this method of redemption by so indicating on the
initial application and you will be provided a supply of checks by NFDS. These
checks may be made payable to the order of any person in any amount of $500 or
more. When your check is presented for payment, the Fund will redeem a
sufficient number of full and fractional shares in your account to cover the
amount of the check. Checks will be returned unpaid if there are insufficient
shares to meet the withdrawal amount. Potential fluctuations in the net asset
value of the Fund's shares should be considered in determining the amount of the
check.
 
    This method of redemption requires that your shares must remain in an open
account and that no share certificates are issued and outstanding. You cannot
close your account through the issuance of a check because the exact balance at
the time your check clears will not be known when you write the check.
 
    If you use this privilege you will be required to sign a signature card
which will subject you to State Street Bank and Trust Company's rules and
regulations governing checking accounts. The authorization form which you must
sign also contains a provision relieving the bank, NFDS, the Fund, Value Line
Securities and the Adviser from liability for loss, if any, which you may
sustain arising out of a non-genuine instruction pursuant to this redemption
feature. Any additional documentation required to assure a genuine redemption
must be maintained on file with NFDS in such a current status as NFDS may deem
necessary. A new form properly signed and with the signature guaranteed as
described above must be received and accepted by NFDS before authorized
redemption instructions already on file with NFDS can be changed.
 
    An additional supply of checks will be furnished upon request. There
presently is no charge to the shareholder for these checks or their clearance.
However, the Fund and NFDS reserve the right to make reasonable charges and to
terminate or modify any or all of the services in connection with this privilege
 
                                       11
<PAGE>
at any time and without prior notice. NFDS will impose a $5 fee for stopping
payment of a check upon your request or if NFDS cannot honor the check due to
insufficient or uncollected funds or other valid reasons.
 
    IMPORTANT: Shares purchased by check may not be redeemed until the Fund is
reasonably assured of the final collection of such check, currently determined
to be up to 15 days.
 
INVESTOR SERVICES
 
    VALU-MATIC.-REGISTERED TRADEMARK-  The Fund offers a free service to its
shareholders, Valu-Matic-Registered Trademark-, through which monthly
investments of $25 or more may be made automatically into the shareholder's Fund
account. The shareholder authorizes the Fund to debit the shareholder's bank
account monthly for the purchase of Fund shares on or about the 3rd or 18th of
each month. Further information regarding this service can be obtained from
Value Line Securities by calling 1-800-223-0818.
 
    EXCHANGE OF SHARES.  Shares of the Fund may be exchanged for shares of the
other Value Line funds in any identically registered account on the basis of the
respective net asset values next computed after receipt of the exchange order.
No telephone exchanges can be made for less than $1,000. In the event shares of
the Fund are being exchanged for shares of The Value Line Cash Fund, Inc. or The
Value Line Tax Exempt Fund--Money Market Portfolio and the shares (including
shares in accounts under the control of one investment adviser) have a value in
excess of $500,000, then at the discretion of the Adviser the shares to be
purchased will be purchased at the closing price on the third business day
following the redemption of the shares being exchanged to allow the Fund to
utilize normal securities settlement procedures in transferring the proceeds of
the redemption.
 
    The exchange privilege may be exercised only if the shares to be acquired
may be sold in the investor's State. Prospectuses for the other Value Line funds
may be obtained from Value Line Securities by calling 1-800-223-0818. Each such
exchange involves a redemption and a purchase for tax purposes. Broker-dealers
are not prohibited from charging a commission for handling the exchange of Fund
shares. To avoid paying such a commission send the request in proper form to
NFDS. The Fund reserves the right to terminate the exchange privilege of any
account making more than eight exchanges a year. (An exchange out of The Value
Line Cash Fund, Inc. or The Value Line Tax Exempt Fund--Money Market Portfolio
is not counted for this purpose.) The exchange privilege may be modified or
terminated at any time, and any of the Value Line funds may discontinue offering
its shares generally, or in any particular state, without prior notice. To make
an exchange, call 1-800-243-2729. Although it has not been a problem in the
past, shareholders should be aware that a telephone exchange may be difficult
during periods of major economic or market changes.
 
    SYSTEMATIC CASH WITHDRAWAL PLAN.  A shareholder who has invested a minimum
of $5,000 in the Fund, or whose shares have attained that value, may request a
transfer of his shares to a Value Line Systematic Cash Withdrawal Account which
NFDS will maintain in his name on the Fund's books. Under the Systematic Cash
Withdrawal Plan (the "Plan") the shareholder will request that NFDS, acting as
his agent, redeem monthly or quarterly a sufficient number of shares to provide
for payment to him, or someone he designates, of any specified dollar amount
(minimum $25). All certificated shares must be placed on deposit under the Plan
and dividends and capital gains distributions, if any, are automatically
reinvested at net asset value. The Plan will automatically terminate when all
shares in the account have been redeemed. The shareholder may at any time
terminate the Plan, change the amount of the regular payment, or request
liquidation of the balance of his account on written notice to NFDS. The Fund
may terminate the Plan at any time on written notice to the shareholder.
 
                                       12
<PAGE>
    TAX-SHELTERED RETIREMENT PLANS.  Shares of the Fund may be purchased for
various types of retirement plans. For more complete information, contact Value
Line Securities at 1-800-223-0818 during New York business hours.
 
ADDITIONAL INFORMATION
 
    The Fund is an open-end, diversified management investment company
incorporated in Maryland in March, 1985. The Fund has 50,000,000 authorized
shares of common stock, $1 par value. Each share has one vote, with fractional
shares voting proportionately. Shares have no preemptive rights, are freely
transferable, are entitled to dividends as declared by the Directors, and, if
the Fund were liquidated, would receive the net assets of the Fund.
 
    INQUIRIES.  All inquiries regarding the Fund should be directed to the Fund
at the telephone numbers or address set forth on the cover page of this
Prospectus. Shareholder inquiries regarding their accounts and account balances
should be directed to National Financial Data Services, Inc., servicing agent
for State Street Bank and Trust Company, the Fund's transfer agent,
1-800-243-2729. Shareholders should note that they may be required to pay a fee
for special requests such as historical transcripts for an account. Our
Info-Line provides the latest account information 24 hours a day, every day, and
is available to shareholders with push-button phones. The Info-Line toll-free
number is 1-800-243-2739.
 
    WITHHOLDING.  Mutual funds are required to withhold 31% of dividends,
distributions of capital gains and redemption proceeds in accounts without a
valid social security or tax identification number. You must provide this
information when you complete the Fund's application and certify that you are
not currently subject to backup withholding. The Fund reserves the right to
close by redemption accounts for which the holder fails to provide a valid
social security or tax identification number.
 
    SHAREHOLDER MEETINGS.  The Fund does not intend to hold routine annual
meetings of shareholders. However, special meetings of shareholders will be held
as required by law for purposes such as changing fundamental policies or
approving an advisory agreement.
 
                                       13
<PAGE>
                         THE VALUE LINE FAMILY OF FUNDS
- ---------------------------------------------
 
1950--THE VALUE LINE FUND seeks long-term growth of capital along with modest
current income by investing substantially all of its assets in common stocks or
securities convertible into common stock.
 
1952--THE VALUE LINE INCOME FUND'S primary investment objective is income, as
high and dependable as is consistent with reasonable growth. Capital growth to
increase total return is a secondary objective.
 
1956--THE VALUE LINE SPECIAL SITUATIONS FUND seeks to obtain long-term growth of
capital by investing not less than 80% of its assets in "special situations". No
consideration is given to achieving current income.
 
1972--VALUE LINE LEVERAGED GROWTH INVESTORS' sole investment objective is to
realize capital growth by investing substantially all of its assets in common
stocks. The Fund may borrow up to 50% of its net assets to increase its
purchasing power.
 
1979--THE VALUE LINE CASH FUND, a money market fund, seeks high current income
consistent with preservation of capital and liquidity.
 
1981--VALUE LINE U.S. GOVERNMENT SECURITIES FUND seeks maximum income without
undue risk to principal. Under normal conditions, at least 80% of the value of
its net assets will be invested in issues of the U.S. Government and its
agencies and instrumentalities.
 
1983--VALUE LINE CENTURION FUND* seeks long-term growth of capital as its sole
objective by investing primarily in stocks ranked 1 or 2 by Value Line for
year-ahead relative performance.
 
1984--THE VALUE LINE TAX EXEMPT FUND seeks to provide investors with maximum
income exempt from federal income taxes while avoiding undue risk to principal.
The Fund offers investors a choice
 
of two portfolios: a Money Market Portfolio and a High-Yield Portfolio.
 
1985--VALUE LINE CONVERTIBLE FUND seeks high current income together with
capital appreciation primarily from convertible securities ranked 1 or 2 for
year-ahead performance by The Value Line Convertible Ranking System.
 
1986--VALUE LINE AGGRESSIVE INCOME TRUST seeks to maximize current income by
investing in high-yielding, low-rated, fixed-income corporate securities.
 
1987--VALUE LINE NEW YORK TAX EXEMPT TRUST seeks to provide New York taxpayers
with maximum income exempt from New York State, New York City and federal
individual income taxes while avoiding undue risk to principal.
 
   
1987--VALUE LINE STRATEGIC ASSET MANAGEMENT TRUST* invests in stocks, bonds and
cash equivalents according to computer trend models developed by Value Line. The
objective is to professionally manage the optimal allocation of these
investments at all times.
    
 
1993--VALUE LINE SMALL-CAP GROWTH FUND invests primarily in common stocks or
securities convertible into common stock, with its primary objective being
long-term growth of capital.
 
1993--VALUE LINE ASSET ALLOCATION FUND seeks high total investment return,
consistent with reasonable risk. The Fund invests in stocks, bonds and money
market instruments utilizing quantitative modeling to determine the correct
asset mix.
 
1995--VALUE LINE U.S. MULTINATIONAL COMPANY FUND'S investment objective is
maximum total return. It invests primarily in securities of U.S. companies that
have significant sales from international operations.
 
- ----------------
* ONLY AVAILABLE THROUGH THE PURCHASE OF GUARDIAN INVESTORS, 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 E. 42ND STREET, NEW YORK, NEW YORK 10017-5891 OR CALL 1-800-223-0818, 24
HOURS A DAY, 7 DAYS A WEEK. READ THE PROSPECTUS CAREFULLY BEFORE YOU INVEST OR
SEND MONEY.
 
                                       14
<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
 
SHAREHOLDER SERVICING AGENT
State Street Bank and Trust Company
c/o NFDS
P.O. Box 419729
Kansas City, MO 64141-6729
 
CUSTODIAN & TRANSFER AGENT
State Street Bank and Trust Company
225 Franklin Street
Boston, MA 02110
 
INDEPENDENT ACCOUNTANTS
Price Waterhouse LLP
1177 Avenue of the Americas
New York, NY 10036
 
LEGAL COUNSEL
Peter D. Lowenstein, Esq.
Two Greenwich Plaza, Suite 100
Greenwich, CT 06830
                                   ----------
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                                    PAGE
                                                    -----
<S>                                              <C>
Summary of Fund Expenses.......................           2
Financial Highlights...........................           2
Investment Objective and Policies..............           3
Investment Restrictions........................           7
Management of the Fund.........................           7
Calculation of Net Asset Value.................           8
How to Buy Shares..............................           8
Dividends, Distributions and Taxes.............           9
Performance Information........................           9
How to Redeem Shares...........................          10
Investor Services..............................          12
Additional Information.........................          13
</TABLE>
 
- -------------------------------------------
                                   PROSPECTUS
- -------------------
 
   
                               SEPTEMBER 1, 1997
    
 
                                   VALUE LINE
                                  CONVERTIBLE
                                   FUND, INC.
 
                                 (800) 223-0818
 
                                     [LOGO]
<PAGE>
                       VALUE LINE CONVERTIBLE FUND, INC.
 
              220 East 42nd Street, New York, New York 10017-5891
                        1-800-223-0818 or 1-800-243-2729
 
- --------------------------------------------------------------------------------
 
                      STATEMENT OF ADDITIONAL INFORMATION
                               SEPTEMBER 1, 1997
- --------------------------------------------------------------------------------
 
    This  Statement of  Additional Information is  not a prospectus  and must be
read in conjunction  with the Prospectus  of Value Line  Convertible Fund,  Inc.
dated  September 1,  1997, a  copy of  which may  be obtained  without charge by
writing or telephoning the Fund.
 
                                 --------------
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                                                                              PAGE
                                                                                            ---------
<S>                                                                                         <C>
Investment Objective and Policies.........................................................       B-1
Investment Restrictions...................................................................       B-2
Directors and Officers....................................................................       B-4
The Adviser...............................................................................       B-5
Brokerage Arrangements....................................................................       B-6
How to Buy Shares.........................................................................       B-7
Suspension of Redemptions.................................................................       B-7
Taxes.....................................................................................       B-8
Performance Data..........................................................................       B-9
Additional Information....................................................................       B-11
Financial Statements......................................................................       B-11
</TABLE>
 
                                 --------------
 
    The Fund's investment adviser is Value Line, Inc. (the "Adviser").
 
                       INVESTMENT OBJECTIVE AND POLICIES
    (SEE ALSO "INVESTMENT OBJECTIVE AND POLICIES" IN THE FUND'S PROSPECTUS)
 
GENERAL
 
    Value Line Convertible Fund,  Inc. (the "Fund")  is a no-load,  diversified,
open-end management investment company. Its investment objective is to seek high
current  income  together  with  capital  appreciation.  To  attain  its primary
investment objective,  the  Fund has  a  fundamental policy  that  under  normal
conditions  at least  70% of  the value of  its net  assets will  be invested in
convertible securities.
 
                                      B-1
<PAGE>
    The Fund will not concentrate its investments in any particular industry but
reserves the right  to invest up  to 25% of  its total assets  (taken at  market
value)  in  any one  industry.  The Fund  does not  invest  for the  purposes of
management or control  of companies  whose securities  the Fund  owns. The  Fund
intends to limit its annual portfolio turnover so that realized short-term gains
on  securities held for less  than three months do not  exceed 30% of the Fund's
gross income so that the Fund will meet one of the tests for qualification as  a
regulated investment company under the Internal Revenue Code.
 
    The  policies set forth in the Fund's  Prospectus and above in the preceding
paragraphs and the policies set forth below under "Investment Restrictions" are,
unless otherwise indicated,  fundamental policies  of the  Fund and  may not  be
changed  without the  affirmative vote of  a majority of  the outstanding voting
securities of the Fund. As used in this Statement of Additional Information  and
in the Prospectus, a "majority of the outstanding voting securities of the Fund"
means  the lesser of (1) the holders of  more than 50% of the outstanding shares
of capital stock of the Fund or (2)  67% of the shares present if more than  50%
of the shares are present at a meeting in person or by proxy.
 
                            INVESTMENT RESTRICTIONS
 
    The Fund may not:
 
       (1) Engage  in  short sales,  except  to the  extent  that it  owns other
           securities convertible into an equivalent amount of such  securities.
    Such  transactions may only occur for the  purpose of protecting a profit or
    in attempting to minimize a loss with respect to convertible securities.  No
    more  than 10% of the value of the  Fund's net assets taken at market may at
    any one time be held as collateral for such sales.
 
       (2) Purchase or sell any put or call options or any combination  thereof,
           except that the Fund may write and sell covered call option contracts
    on securities owned by the Fund. The Fund may also purchase call options for
    the  purpose  of terminating  its  outstanding obligations  with  respect to
    securities upon which covered call option contracts have been written (i.e.,
    "closing purchase transactions").
 
       (3) Borrow money in excess  of 10% of  the value of  its assets and  then
           only  as  a  temporary  measure to  meet  unusually  heavy redemption
    requests or for other extraordinary  or emergency purposes. Securities  will
    not be purchased while borrowings are outstanding. No assets of the Fund may
    be  pledged, mortgaged or  otherwise encumbered, transferred  or assigned to
    secure a debt.
 
       (4) Engage in the underwriting of  securities, except to the extent  that
           the  Fund may  be deemed an  underwriter as  to restricted securities
    under the Securities Act of 1933 in selling portfolio securities.
 
       (5) Invest in  real  estate, mortgages  or  illiquid securities  of  real
           estate investment trusts although the Fund may purchase securities of
    issuers which engage in real estate operations.
 
       (6) Invest in commodities or commodity contracts.
 
       (7) Lend money except in connection with the purchase of debt obligations
           or  by investment in repurchase  agreements, provided that repurchase
    agreements maturing in more than seven days, when taken together with  other
    illiquid  investments including restricted securities,  do not exceed 10% of
    the  Fund's  assets.  The  Fund   may  lend  its  portfolio  securities   to
    broker-dealers  and  institutional  investors  if as  a  result  thereof the
    aggregate value of  all securities  loaned does not  exceed 33  1/3% of  the
    total assets of the Fund.
 
                                      B-2
<PAGE>
       (8) Invest  more  than  5%  of  the value  of  its  total  assets  in the
           securities of  any  one issuer  or  purchase  more than  10%  of  the
    outstanding  voting securities, or any other class of securities, of any one
    issuer. For purposes of this restriction, all outstanding debt securities of
    an issuer are considered as one class, and all preferred stock of an  issuer
    is  considered as one class. This  restriction does not apply to obligations
    issued or  guaranteed  by the  United  States Government,  its  agencies  or
    instrumentalities.
 
       (9) Purchase securities of other investment companies.
 
       (10)Invest  25% or more of its assets in securities of issuers in any one
           industry.
 
       (11)Invest more than  5% of  its total  assets in  securities of  issuers
           having a record, together with predecessors, of less than three years
    of  continuous operation. The  restriction does not  apply to any obligation
    issued  or   guaranteed   by   the  U.S.   government,   its   agencies   or
    instrumentalities.
 
       (12)Purchase  or retain the securities of any issuer if, to the knowledge
           of the Fund,  those officers  and directors of  the Fund  and of  the
    Adviser,  who each owns more than 0.5% of the outstanding securities of such
    issuer, together own more than 5% of such securities.
 
       (13)Issue senior securities except evidences of indebtedness permitted by
           restriction No. 3 above.
 
       (14)Purchase securities  for  the  purpose  of  exercising  control  over
           another company.
 
       (15)Purchase  securities on margin  or participate on a  joint or a joint
           and several basis in any trading account in securities.
 
       (16)Purchase oil,  gas  or other  mineral  type development  programs  or
           leases,  except  that  the  Fund  may  invest  in  the  securities of
    companies which invest in or sponsor such programs.
 
       (17)Invest more than  2% of  the value of  its total  assets in  warrants
           (valued  at  the  lower  of cost  or  market),  except  that warrants
    attached to other securities are not subject to these limitations.
 
    If a percentage restriction is adhered to at the time of investment, a later
change in percentage  resulting from  changes in values  or assets  will not  be
considered   a  violation   of  the   restriction.  For   purposes  of  industry
classifications, the Fund follows the industry classifications in The Value Line
Investment Survey.
 
                                      B-3
<PAGE>
                             DIRECTORS AND OFFICERS
 
<TABLE>
<CAPTION>
NAME, ADDRESS AND AGE         POSITION WITH FUND             PRINCIPAL OCCUPATION DURING PAST 5 YEARS
- ----------------------------  ---------------------  ---------------------------------------------------------
<S>                           <C>                    <C>
*Jean Bernhard Buttner        Chairman of the Board  Chairman, President and  Chief Executive  Officer of  the
 Age 62                       of Directors and       Adviser  and  Value  Line Publishing,  Inc.  Chairman and
                              President              President  of  the  Value  Line  Funds  and  Value   Line
                                                     Securities, Inc. (the "Distributor").
 John W. Chandler             Director               Consultant,  Academic  Search Consultation  Service, Inc.
 2801 New Mexico                                     since   1992;   Consultant,   Korn/Ferry   International,
   Ave., N.W.                                        1990-1992.  Trustee Emeritus and  Chairman (1993-1994) of
 Washington, DC 20007                                Duke University; President Emeritus, Williams College.
 Age 73
*Leo R. Futia                 Director               Retired Chairman  and  Chief  Executive  Officer  of  The
 201 Park Avenue South                               Guardian  Life Insurance Company  of America and Director
 New York, NY 10003                                  since 1970. Director (Trustee) of The Guardian  Insurance
 Age 78                                              &  Annuity  Company,  Inc.,  Guardian  Investor  Services
                                                     Corporation and the Guardian-sponsored mutual funds.
 Charles E. Reed              Director               Retired.  Formerly,  Senior  Vice  President  of  General
 3200 Park Avenue                                    Electric   Co.;  Director  Emeritus   of  People's  Bank,
 Bridgeport, CT 06604                                Bridgeport, CT.
 Age 84
 Paul Craig Roberts           Director               Distinguished  Fellow,   Cato  Institute,   since   1993;
 505 S. Fairfax Street                               formerly,   William  E.  Simon   Professor  of  Political
 Alexandria, VA 22320                                Economy, Center for Strategic and International  Studies;
 Age 58                                              Director, A. Schulman Inc. (plastics) since 1992.
 Nancy-Beth Sheerr            Director               Chairman, Radcliffe College Board of Trustees.
 1409 Beaumont Drive
 Gladwyne, PA 19035
 Age 48
 Christopher W. Bischof       Vice President         Portfolio  Manager  with  the  Adviser  since  1995;  Se-
 Age 45                                              curities Analyst with the Adviser, 1989-1995.
 David T. Henigson            Vice President,        Vice President  and Compliance  Officer of  the  Adviser.
 Age 40                       Secretary and          Director and Vice President of the Distributor.
                              Treasurer
</TABLE>
 
- --------------
* "Interested" director as defined in the Investment Company Act of 1940 (the
"1940 Act").
 
    Unless  otherwise indicated, the address  for each of the  above is 220 East
42nd Street, New York, NY.
 
    Directors and certain officers of  the Fund are also directors/trustees  and
officers  of other investment companies for which the Adviser acts as investment
adviser. The following  table sets forth  information regarding compensation  of
Directors  by the Fund and by the Fund  and the eleven other Value Line Funds of
which each of the Directors is a  director or trustee for the fiscal year  ended
April  30, 1997. Directors who  are officers or employees  of the Adviser do not
receive any compensation from the Fund or any of the Value Line Funds.
 
                                      B-4
<PAGE>
                               COMPENSATION TABLE
                        FISCAL YEAR ENDED APRIL 30, 1997
 
<TABLE>
<CAPTION>
                                                                                                                TOTAL
                                                                         PENSION OR           ESTIMATED      COMPENSATION
                                                                         RETIREMENT            ANNUAL         FROM FUND
                                                      AGGREGATE           BENEFITS            BENEFITS         AND FUND
                                                    COMPENSATION       ACCRUED AS PART          UPON           COMPLEX
NAME OF PERSON                                        FROM FUND       OF FUND EXPENSES       RETIREMENT       (12 FUNDS)
- -------------------------------------------------  ---------------  ---------------------  ---------------  --------------
<S>                                                <C>              <C>                    <C>              <C>
Jean B. Buttner                                       $     -0-                 N/A                 N/A       $      -0-
John W. Chandler                                          3,016                 N/A                 N/A           36,195
Leo R. Futia                                              2,766                 N/A                 N/A           33,195
Charles E. Reed                                           3,016                 N/A                 N/A           36,195
Paul Craig Roberts                                        3,016                 N/A                 N/A           36,195
Nancy-Beth Sheerr                                         1,484                 N/A                 N/A           17,810
</TABLE>
 
    As of April 30, 1997, no person owned of record or, to the knowledge of  the
Fund,  owned beneficially, 5% or more of the outstanding stock of the Fund other
than Charles Schwab & Co., Inc., 101 Montgomery Street, San Francisco, CA 94104,
which owned 601,123  shares or 11%  of the  outstanding shares of  the Fund.  In
addition,  the Adviser owned 62,517 shares  representing 1.2% of the outstanding
shares. Officers and directors of the Fund as a group owned less than 1% of  the
outstanding shares of the Fund.
 
                                  THE ADVISER
          (SEE ALSO "MANAGEMENT OF THE FUND" IN THE FUND'S PROSPECTUS)
 
    The  Fund's  investment adviser  is Value  Line,  Inc. (the  "Adviser"). The
investment advisory agreement between the Fund and the Adviser dated August  10,
1988 provides for an advisory fee payable monthly at an annual rate of 3/4 of 1%
of  the Fund's average daily net assets during the year. During the fiscal years
ended April 30, 1995,  1996 and 1997,  the Fund paid or  accrued to the  Adviser
advisory   fees  of  $357,683,  $428,535  and  $517,810,  respectively.  In  the
computation of the advisory fee, the net  amount of any tender fees received  by
Value  Line Securities, Inc.,  the Fund's Distributor,  from acting as tendering
broker with respect to any portfolio  securities of the Fund will be  subtracted
from the advisory fee.
 
    The  investment advisory  agreement provides  that the  Adviser shall render
investment advisory and other  services to the Fund  including, at its  expense,
all  administrative services, office space and  the services of all officers and
employees of  the  Fund.  The Fund  pays  all  other expenses  incurred  in  its
organization and operation which are not assumed by the Adviser including taxes,
interest,  brokerage commissions, insurance  premiums, fees and  expenses of the
custodian and shareholder servicing agent,  legal and accounting fees, fees  and
expenses  in connection  with qualification  under federal  and state securities
laws and costs of shareholder reports  and proxy materials. The Fund has  agreed
that  it will use the words "Value Line" in its name only so long as Value Line,
Inc. serves as investment adviser of the Fund. The agreement will terminate upon
its assignment.
 
    The Adviser  acts as  investment adviser  to 15  other investment  companies
constituting The Value Line Family of Funds, and furnishes investment counseling
services to private and institutional accounts with combined assets in excess of
$5 billion.
 
    Certain  of the Adviser's clients may  have investment objectives similar to
the Fund and certain investments may be  appropriate for the Fund and for  other
clients advised by the Adviser. From time to
 
                                      B-5
<PAGE>
time,  a particular  security may be  bought or sold  for only one  client or in
different amounts and at  different times for  more than one  but less than  all
such  clients. In addition, a particular security  may be bought for one or more
clients when one or more other  clients are selling such security, or  purchases
or  sales of the same security  may be made for two  or more clients on the same
day. In such event, such transactions will be averaged as to price and allocated
as to  amount in  accordance with  the daily  purchase or  sale orders  actually
placed  for each client. In some cases,  this procedure could have a detrimental
effect on the price or amount of  the securities purchased or sold by the  Fund.
In  other  cases,  however, it  is  believed that  the  ability of  the  Fund to
participate, to the extent permitted by law, in volume transactions will produce
better results for the Fund.
 
    The Adviser and/or  its affiliates,  officers, directors  and employees  may
from  time to time  own securities which are  also held in  the portfolio of the
Fund. The  Adviser has  imposed rules  upon itself  and such  persons  requiring
monthly  reports  of security  transactions  for their  respective  accounts and
restricting trading in various  types of securities in  order to avoid  possible
conflicts  of interest. The Adviser  may from time to  time, directly or through
affiliates, enter into agreements to  furnish for compensation special  research
or  financial  services  to  companies, including  services  in  connection with
acquisitions, mergers or financings.  In the event that  such agreements are  in
effect  with respect to issuers of securities held in the portfolio of the Fund,
specific reference  to  such  agreements  will  be  made  in  the  "Schedule  of
Investments"  in  shareholder  reports of  the  Fund.  As of  the  date  of this
Statement of Additional Information, no such agreements exist.
 
                             BROKERAGE ARRANGEMENTS
          (SEE ALSO "MANAGEMENT OF THE FUND" IN THE FUND'S PROSPECTUS)
 
    Orders for the  purchase and sale  of portfolio securities  are placed  with
brokers  and dealers who,  in the judgment  of the Adviser,  are able to execute
them as expeditiously as  possible and at the  best obtainable price.  Purchases
and  sales of securities which are not listed or traded on a securities exchange
will ordinarily  be executed  with primary  market makers  acting as  principal,
except  when it is determined that better prices and executions may otherwise be
obtained. The Adviser is also authorized  to place purchase or sale orders  with
brokers  or dealers  who may charge  a commission  in excess of  that charged by
other brokers or dealers if the  amount of the commission charged is  reasonable
in  relation to the value of the  brokerage and research services provided. Such
allocation will be in such  amounts and in such  proportions as the Adviser  may
determine.  Orders may also be placed with brokers or dealers who sell shares of
the Fund or other funds  for which the Adviser  acts as investment adviser,  but
this  fact,  or  the volume  of  such sales,  is  not a  consideration  in their
selection.  During  fiscal  1995,  1996  and  1997,  the  Fund  paid   brokerage
commissions of $24,998, $24,792 and $33,824, respectively.
 
    The Board of Directors has adopted procedures incorporating the standards of
Rule 17e-1 under the 1940 Act which requires that commissions paid to Value Line
Securities,  Inc.  or any  other "affiliated  person"  be "reasonable  and fair"
compared to the commissions paid to other brokers in connection with  comparable
transactions.  The procedures  require that the  Adviser furnish  reports to the
Directors with respect to the payment  of commissions to affiliated brokers  and
maintain  records with respect  thereto. During the fiscal  year ended April 30,
1997, all of the  Fund's brokerage commissions were  paid to brokers or  dealers
solely  for  their  services  in  obtaining  best  prices  and  executions.  The
information and  services furnished  to the  Adviser include  the furnishing  of
research reports and statistical compilations and computations and the providing
of  current  quotations  for  securities. These  services  and  information were
furnished to the Adviser at no cost to it; no such services or information  were
furnished directly to the
 
                                      B-6
<PAGE>
Fund,  but certain of  these services might  have relieved the  Fund of expenses
which it would  otherwise have  had to pay.  Such information  and services  are
considered by the Adviser, and brokerage commissions are allocated in accordance
with  its assessment  of such  information and  services, but  only in  a manner
consistent with the  placing of  purchase and  sale orders  with brokers  and/or
dealers,  which, in the judgment of the Adviser, are able to execute such orders
as expeditiously  as possible  and at  the best  obtainable price.  The Fund  is
advised that the receipt of such information and services has not reduced in any
determinable amount the overall expenses of the Adviser.
 
                               HOW TO BUY SHARES
      (SEE ALSO "CALCULATION OF NET ASSET VALUE", "HOW TO BUY SHARES" AND
                 "INVESTOR SERVICES" IN THE FUND'S PROSPECTUS)
 
    Shares  of the Fund are  purchased at net asset  value next calculated after
receipt of a purchase order. Minimum  orders are $1,000 for an initial  purchase
and  $250 for each subsequent purchase. The Fund reserves the right to reduce or
waive the minimum  purchase requirements in  certain cases such  as pursuant  to
payroll  deduction plans,  etc., where  subsequent and  continuing purchases are
contemplated.
 
    The  Fund  has  entered  into  a  distribution  agreement  with  Value  Line
Securities,  Inc. (the "Distributor"), a wholly-owned subsidiary of the Adviser,
pursuant to which the Distributor acts as principal underwriter and  distributor
of  the  Fund for  the  sale and  distribution  of its  shares.  The Distributor
receives no compensation for its  services under the Agreement. The  Distributor
also serves as distributor to the other Value Line funds.
 
    AUTOMATIC  PURCHASES.  The  Fund offers a free  service to its shareholders,
Valu-Matic, through  which  monthly investments  of  $25  or more  may  be  made
automatically  into the shareholder's Fund account.  The required form to enroll
in this program is available upon request from the Distributor.
 
    RETIREMENT PLANS.   Shares of the  Fund may be  purchased as the  investment
medium for various tax-sheltered retirement plans. Upon request, the Distributor
will  provide information  regarding eligibility  and permissible contributions.
Because a retirement plan is designed to provide benefits in future years, it is
important that the  investment objectives  of the  Fund be  consistent with  the
participant's  retirement  objectives. Premature  withdrawals from  a retirement
plan may result in adverse tax consequences.
 
                           SUSPENSION OF REDEMPTIONS
 
    The right of redemption may be  suspended, or the date of payment  postponed
beyond  the normal seven-day period  by the Fund's Board  of Directors under the
following conditions authorized by the 1940  Act: (1) For any period (a)  during
which  the New York Stock  Exchange is closed, other  than customary weekend and
holiday closing, or (b) during which trading  on the New York Stock Exchange  is
restricted;  (2) For any period during which  an emergency exists as a result of
which (a) disposal  by the  Fund of  securities owned  by it  is not  reasonably
practical,  or (b) it is not reasonably  practical for the Fund to determine the
fair value of its net assets; (3)  For such other periods as the Securities  and
Exchange  Commission  may  by order  permit  for  the protection  of  the Fund's
shareholders.
 
    The Fund will ordinarily pay in  cash all redemptions by any shareholder  of
record.  However, the  Fund has reserved  the right  under the 1940  Act to make
payment in  whole  or in  part  in securities  of  the Fund,  if  the  Directors
determine  that such action is in the  best interests of the other shareholders.
Under such
 
                                      B-7
<PAGE>
circumstances, the Fund will, nevertheless, pay to each shareholder of record in
cash all redemptions by  such shareholder, during any  90-day period, up to  the
lesser  of $250,000  or 1%  of the  Fund's net  assets. Securities  delivered in
payment of  redemptions  are  valued at  the  same  value assigned  to  them  in
computing  the net asset value per share. Shareholders receiving such securities
may incur brokerage costs on their sales.
 
                                     TAXES
      (SEE "DIVIDENDS, DISTRIBUTIONS AND TAXES" IN THE FUND'S PROSPECTUS)
 
    The Fund intends to  continue to qualify as  a regulated investment  company
under  the Internal Revenue Code  of 1986, as amended  (the "Code"). The Fund so
qualified during the Fund's last fiscal year. By so qualifying, the Fund is  not
subject  to federal income tax on its net investment income or net capital gains
which are distributed to shareholders  (whether or not reinvested in  additional
Fund shares).
 
    Distributions  of  investment income  and of  the  excess of  net short-term
capital gain over  net long-term  capital loss  are taxable  to shareholders  as
ordinary  income (whether  or not  reinvested in  additional Fund  shares). Upon
request, the Fund  will inform shareholders  of the amounts  of dividends  which
will qualify for the dividends received deduction for corporate shareholders.
 
    The  Code requires each regulated investment  company to pay a nondeductible
4% excise  tax  to the  extent  the company  does  not distribute,  during  each
calendar  year, 98% of its ordinary income, determined on a calendar year basis,
and 98% of its capital gains, determined, in general, on an October 31 year end,
plus certain undistributed  amounts from  previous years.  The Fund  anticipates
that  it will  make sufficient timely  distributions to avoid  imposition of the
excise tax.
 
    Distributions  of  the  excess  of  net  long-term  capital  gain  over  net
short-term  capital  loss (net  capital gains)  are  taxable to  shareholders as
long-term capital gain, regardless of the length of time the shares of the  Fund
have  been held by such shareholders  and regardless of whether the distribution
is received in  cash or  is reinvested  in additional  shares of  the Fund.  The
computation   of  net  capital  gains  takes   into  account  any  capital  loss
carryforward of the Fund.
 
    A distribution by  the Fund reduces  the Fund's net  asset value per  share.
Such  a distribution is taxable to the shareholder as ordinary income or capital
gain as described  above, even  though, from  an investment  standpoint, it  may
constitute  a return of  capital. In particular, investors  should be careful to
consider the tax implications of buying shares just prior to a distribution. The
price of  shares purchased  at that  time (at  the net  asset value  per  share)
includes the amount of the forthcoming distribution. Those purchasing just prior
to  a distribution  will then  receive a return  of capital  as a  result of the
distribution which nevertheless is taxable  to them. All distributions,  whether
received  in  cash  or reinvested  in  Fund  shares, must  be  reported  by each
shareholder on his or her federal  income tax return. Under the Code,  dividends
declared by the Fund in October, November and December of any calendar year, and
payable  to shareholders of record  in such month, shall  be deemed to have been
received by  the  shareholder on  December  31 of  such  calendar year  if  such
dividend is actually paid in January of the following calendar year.
 
    A  shareholder may  realize a capital  gain or  capital loss on  the sale or
redemption of shares of the Fund. The  tax consequences of a sale or  redemption
depend upon several factors, including the shareholder's tax basis in the shares
sold  or redeemed and the length of time the shares have been held. Basis in the
shares may be the actual cost of those shares (net asset value of Fund shares on
purchase or
 
                                      B-8
<PAGE>
reinvestment date),  or under  special  rules, an  average cost.  Under  certain
circumstances, a loss on the sale or redemption of shares held for six months or
less  may be treated as a long-term capital loss to the extent that the Fund has
distributed long-term capital gain dividends on such shares. Moreover, a loss on
the sale or  redemption of  Fund shares  will be  disallowed to  the extent  the
shareholder  purchases other shares of the Fund within 30 days (before or after)
of the date the shares are sold or redeemed.
 
    For shareholders who fail  to furnish to the  Fund their social security  or
taxpayer  identification numbers and certain related  information or who fail to
certify  that  they   are  not   subject  to   backup  withholding,   dividends,
distributions  of capital gains and redemption proceeds paid by the Fund will be
subject to a 31% Federal income tax withholding requirement. If the  withholding
provisions  are applicable, any such dividends or capital gains distributions to
these shareholders,  whether taken  in  cash or  reinvested in  additional  Fund
shares,  and any redemption proceeds will be  reduced by the amounts required to
be withheld.
 
    The foregoing discussion relates  solely to U.S. federal  income tax law  as
applicable   to  U.S.  persons  (i.e.,  U.S.  citizens  or  residents,  domestic
corporations and  partnerships,  and certain  trusts  and estates)  and  is  not
intended   to  be  a  complete  discussion  of  all  federal  tax  consequences.
Shareholders are  advised to  consult  with their  tax advisers  concerning  the
application of federal, state and local taxes to an investment in the Fund.
 
                                PERFORMANCE DATA
 
    From time to time, the Fund may state its total return in advertisements and
investor  communications. Total return may be  stated for any relevant period as
specified in the advertisement or communication. Any statements of total  return
or  other performance data on the Fund will be accompanied by information on the
Fund's average annual total return over  the most recent four calendar  quarters
and  the  period from  the Fund's  inception  of operations.  The Fund  may also
advertise aggregate total return information for different periods of time.
 
    The Fund's  average annual  total return  is determined  by reference  to  a
hypothetical   $1,000   investment  that   includes  capital   appreciation  and
depreciation for the stated period, according to the following formula:
                                          1/n
                                T = (ERV/P)  - 1
 
<TABLE>
<S>       <C>   <C>  <C>
Where:    P     =    a hypothetical initial purchase order of
                     $1,000
          T     =    average annual total return
          n     =    number of years
          ERV   =    ending redeemable value of the
                     hypothetical $1,000 purchase at the end
                     of the period.
</TABLE>
 
    Aggregate total return is  calculated in a similar  manner, except that  the
results  are not  annualized. Each  calculation assumes  that all  dividends and
distributions are reinvested at net asset value on the reinvestment dates during
the period.
 
    As stated in the Prospectus,  the Fund may also  quote its current yield  in
advertisements and investor communications.
 
                                      B-9
<PAGE>
    The  yield computation is  determined by dividing  the net investment income
per share earned during the  period by the maximum  offering price per share  on
the  last day of the  period and annualizing the  resulting figure, according to
the following formula:
 
                                               6
                                       a - b
                          Yield = 2[(------- +1) - 1]
                                        cd
 
<TABLE>
<S>       <C>  <C>  <C>
Where:    a    =    dividends and interest earned
                    during the period (calculated
                    as required by the Securities
                    and Exchange Commission);
          b    =    expenses accrued for the
                    period (net of
                    reimbursements);
          c    =    the average daily number of
                    shares outstanding during the
                    period that were entitled to
                    receive dividends;
          d    =    the maximum offering price per
                    share on the last day of the
                    period.
</TABLE>
 
    The above formula will be used in calculating quotations of yield, based  on
specified 30-day periods identified in advertising by the Fund.
 
    The  Fund may also,  from time to  time, include a  reference to its current
quarterly or  annual  distribution rate  in  investor communications  and  sales
literature  preceded  or accompanied  by  a Prospectus,  reflecting  the amounts
actually distributed to shareholders which could include capital gains and other
items of income  not reflected  in the  Fund's yield,  as well  as interest  and
dividend  income received by the Fund  and distributed to shareholders (which is
reflected in the Fund's yield).
 
    All  calculations  of  the  Fund's  distribution  rate  are  based  on   the
distributions per share which are declared, but not necessarily paid, during the
fiscal  year. The distribution rate is  determined by dividing the distributions
declared during the period by the maximum  offering price per share on the  last
day  of  the period  and annualizing  the resulting  figure. In  calculating its
distribution rate, the  Fund has  used the same  assumptions that  apply to  its
calculation   of  yield.  The   distribution  rate  does   not  reflect  capital
appreciation or depreciation in the price of the Fund's shares and should not be
considered to be  a complete  indicator of  the return  to the  investor on  his
investment.
 
    The Fund's current yield, distribution rate and total return may be compared
to  relevant  indices, including  U.S. domestic  and international  taxable bond
indices and data  from Lipper Analytical  Services, Inc., or  Standard &  Poor's
Indices. From time to time, evaluations of the Fund's performance by independent
sources  may  also be  used in  advertisements and  in information  furnished to
present or prospective investors in the Fund.
 
                             ADDITIONAL INFORMATION
 
EXPERTS
 
    The financial statements of the  Fund and the financial highlights  included
in  the Fund's  Annual Report to  Shareholders and incorporated  by reference in
this Statement of Additional Information have been so incorporated by  reference
in  reliance on  the report  of Price  Waterhouse LLP,  independent accountants,
given on the authority of said firm as experts in auditing and accounting.
 
CUSTODIAN
 
    The Fund  employs  State  Street  Bank and  Trust  Company,  Boston,  MA  as
custodian  for the  Fund. The custodian's  responsibilities include safeguarding
and controlling the Fund's cash and securities, handling
 
                                      B-10
<PAGE>
the receipt and delivery of securities and collecting interest and dividends  on
the Fund's investments. The custodian does not determine the investment policies
of the Fund or decide which securities the Fund will buy or sell.
 
                              FINANCIAL STATEMENTS
 
    The Fund's financial statements for the year ended April 30, 1997, including
the  financial highlights for each of the  five fiscal years in the period ended
April 30, 1997,  appearing in  the 1997 Annual  Report to  Shareholders and  the
report  thereon  of  Price Waterhouse  LLP,  independent  accountants, appearing
therein,  are  incorporated  by  reference  in  this  Statement  of   Additional
Information.
 
    The  Fund's  1997  Annual  Report  to  Shareholders  is  enclosed  with this
Statement of Additional Information.
 
                                      B-11
<PAGE>
                       VALUE LINE CONVERTIBLE FUND, INC.
                                     PART C
                               OTHER INFORMATION
 
ITEM 24.  FINANCIAL STATEMENTS AND EXHIBITS.
 
   
    a. Financial Statements
       Included in Part A of this Registration Statement:
         Financial Information
           Financial Highlights for each of the ten years in the period ended
           April 30, 1997.
    
 
   
       Included in Part B of this Registration Statement:*
         Schedule of Investments at April 30, 1997
        Statement of Assets and Liabilities at April 30, 1997
        Statement of Operations for the year ended April 30, 1997
        Statements of Changes in Net Assets for the years ended April 30, 1997
          and April 30, 1996
        Financial Highlights for each of the five years in the period ended
       April 30, 1997
        Notes to Financial Statements
        Report of Independent Accountants
    
 
       Statements, schedules and historical information other than those listed
       above have been omitted since they are either not applicable or are not
       required.
- ---------
   
     *  Incorporated by reference from the Annual Report to Shareholders for the
        year ended April 30, 1997.
    
 
    b. Exhibits
       16.  Calculation of Performance Data--Exhibit 1
 
ITEM 25.  PERSONS CONTROLLED BY OR UNDER COMMON CONTROL WITH REGISTRANT.
 
          None
 
ITEM 26.  NUMBER OF HOLDERS OF SECURITIES.
 
   
    As of April 30, 1997, there were 3,407 record holders of the Registrant's
Capital Stock ($1.00 par value).
    
 
ITEM 27.  INDEMNIFICATION.
 
    Incorporated by reference from Post-Effective Amendment No. 3 (filed with
the Commission August 24, 1987).
 
                                      C-1
<PAGE>
ITEM 28.  BUSINESS OR OTHER CONNECTIONS OF INVESTMENT ADVISER.
 
    Value Line, Inc., Registrant's investment adviser, acts as investment
adviser for a number of individuals, trusts, corporations and institutions, in
addition to the registered investment companies in the Value Line Family of
Funds listed in Item 29.
 
<TABLE>
<CAPTION>
                                        POSITION WITH
            NAME                         THE ADVISER                              OTHER EMPLOYMENT
- ----------------------------  ----------------------------------  ------------------------------------------------
<S>                           <C>                                 <C>
Jean Bernhard Buttner         Chairman of the Board,              Chairman of the Board and Chief Executive
                              President, and Chief Executive      Officer of Arnold Bernhard & Co., Inc. Chairman
                              Officer                             of the Value Line Funds and the Distributor
Samuel Eisenstadt             Senior Vice President and Director
 
David T. Henigson             Vice President, Treasurer and       Vice President and a Director of Arnold Bernhard
                              Director                            & Co., Inc. and the Distributor
 
Howard A. Brecher             Vice President, Secretary and       Secretary and Treasurer of Arnold Bernhard &
                              Director                            Co., Inc.
 
Harold Bernard, Jr.           Director                            Administrative Law Judge
 
William S. Kanaga             Director                            Retired Chairman of Arthur Young (now Ernst &
                                                                  Young)
 
W. Scott Thomas               Director                            Partner, Brobeck, Phleger & Harrison, attorneys.
</TABLE>
 
                                      C-2
<PAGE>
ITEM 29.  PRINCIPAL UNDERWRITER.
 
    (a)Value Line Securities, Inc., acts as principal underwriter for the
       following Value Line funds, including the Registrant: The Value Line
       Fund, Inc.; The Value Line Income Fund, Inc.; The Value Line Special
       Situations Fund, Inc.; Value Line Leveraged Growth Investors, Inc.; The
       Value Line Cash Fund, Inc.; Value Line U.S. Government Securities Fund,
       Inc.; Value Line Centurion Fund, Inc.; The Value Line Tax Exempt Fund,
       Inc.; Value Line Convertible Fund, Inc.; Value Line Aggressive Income
       Trust; Value Line New York Tax Exempt Trust; Value Line Strategic Asset
       Management Trust; Value Line Intermediate Bond Fund, Inc.; Value Line
       Small-Cap Growth Fund, Inc.; Value Line Asset Allocation Fund, Inc.;
       Value Line U.S. Multinational Company Fund, Inc.
 
    (b)
 
<TABLE>
<CAPTION>
                                    (2)
                               POSITION AND                 (3)
           (1)                    OFFICES               POSITION AND
    NAME AND PRINCIPAL        WITH VALUE LINE           OFFICES WITH
     BUSINESS ADDRESS        SECURITIES, INC.            REGISTRANT
- --------------------------  -------------------  --------------------------
<S>                         <C>                  <C>
Jean Bernhard Buttner       Chairman of the      Chairman of the Board
                            Board
 
David T. Henigson           Vice President,      Vice President, Secretary
                            Secretary,           and Treasurer
                            Treasurer and
                            Director
 
Stephen LaRosa              Asst. Vice           Asst. Treasurer,
                            President            Asst. Secretary
</TABLE>
 
        The business address of each of the officers and directors is 220 East
        42nd Street, New York, NY 10017-5891.
 
    (c)Not applicable.
 
                                      C-3
<PAGE>
ITEM 30.  LOCATION OF ACCOUNTS AND RECORDS.
 
    Value Line, Inc.
    220 East 42nd Street
    New York, NY 10017
    For records pursuant to:
    Rule 31a-1(b)(4),(5),(6),(7),(10),(11)
    Rule 31a-1(f)
 
    State Street Bank and Trust Company
    c/o NFDS
    P.O. Box 419729
    Kansas City, MO 64141
    For records pursuant to Rule 31a-1(b)(2)(iv)
 
    State Street Bank and Trust Company
    225 Franklin Street
    Boston, MA 02110
    For all other records
 
ITEM 31.  MANAGEMENT SERVICES.
 
    None.
 
ITEM 32.  UNDERTAKINGS.
 
    Registrant undertakes to furnish each person to whom a prospectus is
delivered with a copy of the Registrant's latest annual report to shareholders,
upon request and without charge.
 
                                 --------------
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
   
We hereby consent to the incorporation by reference in the Prospectus and
Statement of Additional Information constituting parts of this Post-Effective
Amendment No. 14 to the registration statement on Form N-1A (the "Registration
Statement") of our report dated June 13, 1997, relating to the financial
statements and financial highlights appearing in the April 30, 1997 Annual
Report to Shareholders of Value Line Convertible Fund, Inc., which are also
incorporated by reference into the Registration Statement. We also consent to
the references to us under the heading "Financial Highlights" in the Prospectus
and under the headings "Additional Information" and "Financial Statements" in
the Statement of Additional Information.
    
 
PRICE WATERHOUSE LLP
 
   
1177 Avenue of the Americas
New York, New York
August 18, 1997
    
 
                                      C-4
<PAGE>
                                   SIGNATURES
 
   
    Pursuant to the requirements of the Securities Act of 1933 and the
Investment Company Act of 1940, the Registrant certifies that it meets all of
the requirements for effectiveness of the Registration Statement pursuant to
Rule 485(b) under the Securities Act of 1933 and has duly caused this Amendment
to its Registration Statement to be signed on its behalf by the undersigned,
thereunto duly authorized, in the City of New York, and State of New York, on
the 18th day of August, 1997.
    
 
                                      VALUE LINE CONVERTIBLE FUND, INC.
 
                                       By:         /s/ DAVID T. HENIGSON
                                      ..........................................
 
                                                    DAVID T. HENIGSON
                                                     VICE PRESIDENT
 
    Pursuant to the requirements of the Securities Act of 1933, this Amendment
has been signed below by the following persons in the capacities and on the
dates indicated.
 
   
<TABLE>
<CAPTION>
                      SIGNATURES                                        TITLE                         DATE
- ------------------------------------------------------  -------------------------------------  -------------------
 
<C>                                                     <S>                                    <C>
                                                        Chairman of the                          August 18, 1997
                   *JEAN B. BUTTNER                       Board of Directors; President;
                  (JEAN B. BUTTNER)                       Principal Executive Officer
 
                  *JOHN W. CHANDLER                     Director                                 August 18, 1997
                  (JOHN W. CHANDLER)
 
                    *LEO R. FUTIA                       Director                                 August 18, 1997
                    (LEO R. FUTIA)
 
                   *CHARLES E. REED                     Director                                 August 18, 1997
                  (CHARLES E. REED)
 
                 *PAUL CRAIG ROBERTS                    Director                                 August 18, 1997
                 (PAUL CRAIG ROBERTS)
 
                  *NANCY-BETH SHEERR                    Director                                 August 18, 1997
                 (NANCY-BETH SHEERR)
 
                      /s/ DAVID T. HENIGSON             Treasurer; Principal Financial and       August 18, 1997
 .....................................................    Accounting Officer
                 (DAVID T. HENIGSON)
</TABLE>
    
 
* By       /s/ DAVID T. HENIGSON
 .....................................
 
           (DAVID T. HENIGSON,
          ATTORNEY-IN-FACT)
 
                                      C-5

<PAGE>

                          VALUE LINE CONVERTIBLE FUND, INC.

                  SCHEDULE FOR COMPUTATION OF PERFORMANCE QUOTATION
                                      EXHIBIT 16


Year(s) Ended 04/30/97:               1 year        5 years       10 years
                                      --------      ---------     ----------
Initial Investment:                    1,000          1,000          1,000
Balance at End of Period:              1,088          1,821          2,542
Change:                                   88            821          1,542

Percentage Change:                     8.80%         82.15%        154.17%

Average Annual Total Return:           8.80%         12.74%          9.78%


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