VANGUARD CONVERTIBLE SECURITIES FUND INC
485APOS, 1999-01-25
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<PAGE>
 
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- -------------------------------------------------------------------------------
 
                      SECURITIES AND EXCHANGE COMMISSION
 
                            Washington, D.C. 20549
 
                                   Form N-1A
 
                  REGISTRATION STATEMENT (NO. 33-4424) UNDER
                          THE SECURITIES ACT OF 1933
 
                         Pre-Effective Amendment No.                      [X]
                                                                          [X]
                     Post-Effective Amendment No. 19     
                                      and
 
        REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940
 
                                                                          [X]
                             Amendment No. 22     
                      
                   VANGUARD CONVERTIBLE SECURITIES FUND     
        
     (Exact Name of Registrant as Specified in Declaration of Trust)     
 
                                 P.O. Box 2600
                            Valley Forge, PA 19482
                    (Address of Principal Executive Office)
 
                 Registrant's Telephone Number (610) 669-1000
                           
                        R. Gregory Barton, Esquire     
                                 P.O. Box 876
                            Valley Forge, PA 19482
   
  We request that this filing become effective on March 26, 1999, pursuant to
paragraph (a) of Rule 485.     
 
  Approximate Date of Proposed Public Offering: As soon as practicable after
this Registration Statement becomes effective.
   
  We have elected to register an indefinite number of shares pursuant to
Regulation 24f-2 under the Investment Company Act of 1940. We filed our Rule
24f-2 Notice for the period ended November 30, 1998 on  . .     
 
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<PAGE>
 
                      
                   VANGUARD CONVERTIBLE SECURITIES FUND     
 
                             CROSS REFERENCE SHEET
 
<TABLE>   
<CAPTION>
  Form N-1A
 Item Number                                        Location in Prospectus
 -----------                                        ----------------------
 <C>         <C>                                    <S>
  Item 1.    Front and Back Cover Pages............ Front and Back Cover Pages
  Item 2.    Risk/Return Summary: Investments,
             Risks, and Performance................ Fund Profile
  Item 3.    Risk/Return Summary: Fee Table........ Fee Table
  Item 4.    Investment Objectives, Principal
             Investment Strategies, and Related                            
             Risks................................. A Word About Risk; Who 
                                                    Should Invest; Primary 
                                                    Investment Strategies  
  Item 5.    Management's Discussion of Fund
             Performance........................... Herein incorporated by
                                                    reference to Registrant's
                                                    Annual Report to
                                                    Shareholders dated November
                                                    30, 1998 filed with the
                                                    Securities & Exchange
                                                    Commission's EDGAR system
                                                    on  .
  Item 6.    Management, Organization, and Capital
             Structure Securities.................. The Fund and Vanguard;
                                                    Investment Adviser
  Item 7.    Shareholder Information............... Share Price; Dividends,
                                                    Capital Gains, and Taxes;
                                                    Investing with Vanguard
  Item 8.    Distribution Arrangements............. Not Applicable
  Item 9.    Financial Highlights Information...... Financial Highlights
<CAPTION>
  Form N-1A                                         Location in Statement
 Item Number                                        of Additional Information
 -----------                                        -------------------------
 <C>         <C>                                    <S>
  Item 10.   Cover Page and Table of Contents...... Cover Page; Table of
                                                    Contents
  Item 11.   Fund History.......................... Description of the Trust
  Item 12.   Description of the Fund and its
             Investments and Risks................. Investment Objective and
                                                    Policies; Description of
                                                    the Trust; and Fundamental
                                                    Investment Limitations
  Item 13.   Management of the Fund................ Management of the Trust
  Item 14.   Control Persons and Principal Holders
             of Securities......................... Management of the Trust
  Item 15.   Investment Advisory and Other                               
             Services.............................. Investment Advisory  
                                                    Services             
  Item 16.   Brokerage Allocation and Other                                
             Practices............................. Portfolio Transactions 
  Item 17.   Capital Stock and Other Securities.... Description of the Trust
  Item 18.   Purchase, Redemption, and Pricing of
             Shares................................ Purchase of Shares;
                                                    Redemption of Shares; and
                                                    Share Price
  Item 19.   Taxation of the Fund.................. Description of the Trust
  Item 20.   Underwriters.......................... Not Applicable
  Item 21.   Calculations of Performance Data...... Yield and Total Return
  Item 22.   Financial Statements.................. Financial Statements
</TABLE>    
<PAGE>
 
                                                                               1


Fund Profile

The following profile summarizes key features of Vanguard Convertible Securities
Fund.

INVESTMENT OBJECTIVE
The Fund seeks to provide current income and long-term growth of capital.

INVESTMENT STRATEGIES
The Fund invests mainly in convertible securities, which are hybrid securities
that combine the investment characteristics of bonds and common stocks.
Convertible securities include corporate bonds and preferred stocks that are
convertible into common stock, as well as debt securities with warrants or
common stock attached.

PRIMARY RISKS
The Fund is subject to several risks, any of which could cause investors to lose
money. These include: 

 .  Interest rate risk, which is the chance that prices of convertible securities
   will decline over short or even long periods due to rising interest rates.
   The market value of a convertible security is particularly sensitive to
   changes in interest rates when the price at which the security may be
   converted to common stock is close to the price of the issuer's common stock.
 .  Stock market risk, which is the chance that prices of convertible securities
   will decline over short or even long periods due to a general decline in the
   stock market. The market value of a convertible security is particularly
   sensitive to changes in the price of the issuer's common stock when the price
   at which the security may be converted to stock is much higher than the
   stock's current price.
 .  Credit risk, which is the chance that an issuer will fail to pay interest or
   dividends on a convertible security in a timely manner. Companies that issue
   convertible securities are usually small-to-medium size, and they often lack
   top ratings for creditworthiness or credit quality. In addition, the credit
   rating of a company's convertible securities is generally lower than the
   rating of its conventional debt securities, since convertibles are normally
   considered "junior" securities--that is, the company is usually required to
   pay interest on its conventional debt before it can make payments on its
   convertible securities. 
 .  Manager risk, which is the chance that poor security selection will cause the
   Fund to underperform other funds with similar investment objectives.

PERFORMANCE/RISK INFORMATION
The bar chart and table below provide an indication of the risk of investing in
the Fund. The bar chart shows the Fund's performance in each calendar year over
a ten-year period. The table shows how the Fund's average annual returns for
one, five, and ten calendar years compare with those of a broad-based securities
market index. Keep in mind that the Fund's past performance does not indicate
how it will perform in the future.

    ----------------------------------------------------------------------
                              Annual Total Returns
    ----------------------------------------------------------------------



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

   During the period shown in the bar chart, the highest return for a calendar
quarter was .% (quarter ending ) and the lowest return for a quarter was -.%
(quarter ending ).
<PAGE>
 
2

    -----------------------------------------------------------------------
         Average Annual Total Returns for Years Ended December 31, 1998
    ----------------------------------------------------------------------- 
                                             1 Year     5 Years    10 Years
    -----------------------------------------------------------------------
    Vanguard Convertible Securities Fund        . %        . %        . %
    CS First Boston Convertible Index           .          .          .
    [Lipper Convertible Fund Average            .          .          . ]
    ----------------------------------------------------------------------- 

                               PLAIN TALK ABOUT
                            The Costs of Investing 

Costs are an important consideration in choosing a mutual fund. That's because
you, as a shareholder, pay the costs of operating a fund, plus any transaction
costs associated with the fund's buying and selling of securities. These costs
can erode a substantial portion of the gross income or capital appreciation a
fund achieves. Even seemingly small differences in expenses can, over time, have
a dramatic effect on a fund's performance.

                               PLAIN TALK ABOUT
                                Fund Expenses 

All mutual funds have operating expenses. These expenses, which are deducted
from a fund's gross income, are expressed as a percentage of the net assets of
the fund. Vanguard Convertible Securities Fund's expense ratio in fiscal year
1998 was . %, or $ . per $1,000 of average net assets. The average convertible
securities mutual fund had expenses in 1998 of . %, or $ . per $1,000 of average
net assets, according to Lipper, Inc., which reports on the mutual fund
industry.

FEES AND EXPENSES
The following table describes the fees and expenses you would pay if you buy and
hold shares of the Fund. The expenses shown under Annual Fund Operating Expenses
are based upon those incurred in the fiscal year ended November 30, 1998.

Shareholder  Fees  (fees paid directly from your investment)
Sales Charge (Load) Imposed on Purchases:                      None
Sales Charge (Load) Imposed on Reinvested Dividends:           None
Redemption Fees:                                               None
Exchange Fees:                                                 None

Annual Fund Operating Expenses (expenses deducted from the Fund's assets)
Management Expenses:                                            . %
12b-1 Distribution Fees:                                       None
Other Expenses:                                                 . %
  Total Annual Operating Expenses:                              . %

   The following example is intended to help you compare the cost of investing
in the Fund with the cost of investing in other mutual funds. It illustrates the
hypothetical expenses that you would incur over various periods if you invest
$10,000 in the Fund. This example assumes that the Fund provides a return of 5%
a year, and that operating expenses remain the same. The results apply whether
or not you redeem your investment at the end of each period.

    -------------------------------------------------------------------
       1 Year           3 Years          5 Years          10 Years
    -------------------------------------------------------------------
         $.               $.               $.                $.
    -------------------------------------------------------------------

   This example should not be considered to represent actual expenses or
performance from the past or for the future. Actual future expenses may be
higher or lower than those shown.
<PAGE>
 
                                                                               3



Additional Information

Dividends and Capital Gains
Dividends are paid quarterly in March, June, September, and December; capital
gains, if any, are paid in December

Investment Adviser 
Oaktree Capital Management, LLC, Los Angeles, Calif., since 1996 

Inception Date 
June 17, 1986

Net Assets as of November 30, 1998 
$ . million 

Suitable for IRAs 
Yes

Minimum Initial Investment
$3,000; $1,000 for IRAs and custodial accounts for minors

Newspaper Abbreviation
Convrt

Vanguard Fund Number
082

Cusip Number
922023106

Ticker Symbol
VCVSX

================================================================================

A Word About Risk

This prospectus describes the risks you would face as an investor in Vanguard
Convertible Securities Fund. It is important to keep in mind one of the main
axioms of investing: The higher the risk of losing money, the higher the
potential reward. The reverse, also, is generally true: The lower the risk, the
lower the potential reward. As you consider an investment in Vanguard
Convertible Securities Fund, you should also take into account your personal
tolerance for the daily fluctuations of the stock market.

   Look for this (Graphic) symbol throughout the prospectus. It is used to mark 
detailed information about each type of risk that you would confront as a
shareholder of the Fund.
================================================================================

Who Should Invest

The Fund may be a suitable investment for you if:
 .  You are seeking higher current income than is normally available from common
   stocks, and greater potential for long-term growth of capital than is
   normally available from corporate bonds.
 .  You wish to add a convertible securities fund to your existing holdings,
   which could include other stock, bond, money market, and tax-exempt
   investments.
 .  You are willing to tolerate sharp, sometimes sudden fluctuations in the value
   of your investment. In the past, price fluctuations for convertible
   securities have been wider than those for bonds but not as wide as those for
   stocks.

                                PLAIN TALK ABOUT
                             Costs and Market-Timing

Some investors try to profit from market-timing--switching money into
investments when they expect prices to rise, and taking money out when they
expect the market to fall. As money is shifted in and out, a fund incurs
expenses for buying and selling securities. These costs are borne by all fund
shareholders, including the long-term investors who do not generate the costs.
Therefore, the Fund discourages short-term trading by, among other things,
limiting the number of exchanges it permits.

   The Vanguard funds do not permit market-timing. Do not invest in this Fund if
you are a market-timer.
<PAGE>
 
4




   The Fund has adopted the following policies, among others, to discourage
   short-term trading:
 .  The Fund reserves the right to reject any purchase request--including
   exchanges from other Vanguard funds-- that it regards as disruptive to the
   efficient management of the Fund. This could be because of the timing of the
   investment or because of a history of excessive trading by the investor.
 .  There is a limit on the number of times you can exchange into and out of the
   Fund (see "Redeeming Shares" in the Investing with Vanguard" section).
 .  The Fund reserves the right to stop offering shares at any time.

                                PLAIN TALK ABOUT
                             Convertible Securities

Convertible securities are "hybrid" securities--that is, they have some
characteristics of bonds and some of common stocks. Like a bond (or some
preferred stocks), a convertible security typically pays a fixed rate of
interest (or dividends) and promises to repay principal at a given date in the
future. However, an investor can--at any time--exchange the convertible security
for a specific number of shares of the issuing company's common stock, at a
"conversion price" specified at the time the convertible security is issued.
Accordingly, the value of the convertible security increases (or decreases) as
the price of the underlying common stock increases (or decreases). Convertible
securities typically pay income yields that are higher than the dividend yield
of the issuer's common stock, but lower than the yield of the issuer's debt
securities.

Primary Investment Strategies

This section explains the strategies that the investment adviser uses in pursuit
of the Fund's objective--current income along with long-term growth of capital.
It also explains how the adviser implements these strategies. In addition, this
section discusses several important risks-interest rate risk, stock market risk,
credit risk, and manager risk--faced by investors in the Fund. The Fund's Board
of Trustees oversees the management of the Fund, and may change the investment
strategies in the interest of shareholders.

Market Exposure
Under normal circumstances, the Fund will invest at least 80% of its assets in
convertible securities. These securities include corporate bonds and preferred
stocks that are convertible into common stock, as well as debt securities with
warrants (which permit their owners to buy a specific number of stock shares at
a predetermined price) or common stock attached.

   The remaining 20% of the Fund's assets may be invested in non-convertible
corporate or U.S. government debt securities, common stocks, or money market
instruments.

[GRAPHIC  Because convertible securities perform like bonds under certain
APPEARS   conditions, the Fund is subject to interest rate risk, which is the
HERE]     chance that the market value of the Fund's shares will decline over
          short or even long periods due to rising interest rates.

                                PLAIN TALK ABOUT
                            Bonds and Interest Rates

As a rule, when interest rates rise, bond prices fall. The opposite is also
true: Bond prices go up when interest rates fall. Why do bond prices and
interest rates move in opposite directions? Let's assume that you hold a bond
offering a 5% yield. A year later, interest rates are on the rise and bonds are
offered with a 6% yield. With higher-yielding bonds available, you would have
trouble selling your 5% bond for the price you paid--you would have to lower
your asking price. On the other hand, if interest rates were falling and 4%
bonds were being offered, you would be able to sell your 5% bond for more than
you paid.
<PAGE>
 
                                                                               5



   When a convertible security's predetermined conversion price is much higher
than the price of the issuing company's common stock, the convertible security
takes on the characteristics of a bond. At such times, the price of the security
will move in the opposite direction of interest rates.

   In the past, bond investors have seen the value of their investment rise and
fall--sometimes significantly--with changes in interest rates. Between December
1976 and September 1981, for instance, rising interest rates caused long-term
bond prices to fall by almost 48%.

   To illustrate the volatility of bond prices, the following table shows the
effect of both a 1% and a 2% change (both up and down) in interest rates on
three bonds with a face value of $1,000; each has a different maturity.

- --------------------------------------------------------------------------------
                      How Interest Rate Changes Affect the
                         Value of a $1,000 Investment*
- --------------------------------------------------------------------------------
                               After a 1%   After a 1%   After a 2%   After a 2%
   Type of Bond (Maturity)      Increase    Decrease     Increase     Decrease
- --------------------------------------------------------------------------------
  Short-Term (2.5 years)
  Intermediate-Term (10 years)
  Long-Term (20 years)
- --------------------------------------------------------------------------------
    *Assumes a 7% yield.
- --------------------------------------------------------------------------------

   These figures are for illustration only; you should not regard them as an
indication of future returns from the bond market as a whole or the Fund in
particular.

[GRAPHIC  Because prices of the Fund's convertible holdings may fluctuate in
APPEARS   response to price changes in the underlying common stocks, the Fund is
HERE]     subject to stock market risk, which is the chance that stock prices
          overall will decline over short or even long periods. Stock markets
          tend to move in cycles, with periods of rising prices and periods of
          falling prices.

   When a convertible security's predetermined conversion price is about the
same as the price of the issuing company's common stock, the convertible
security tends to behave like a common stock. In such a case, the security's
price may exhibit the volatility that is characteristic of common stocks.

   To illustrate the volatility of stock prices, the following table shows the
best, worst, and average total returns for the U.S. stock market over various
periods as measured by the Standard & Poor's 500 Composite Stock Price Index, a
widely used barometer of market activity. (Total returns consist of dividend
income plus change in market price.) Note that the returns shown do not include
the costs of buying and selling stocks or other expenses that a real-world
investment portfolio would incur. Note, also, that the gap between best and
worst tends to narrow over the long term.

    ----------------------------------------------------------------------
                      U.S. Stock Market Returns (1926-1998)
    ----------------------------------------------------------------------
                   1 Year      5  Years     10  Years      20  Years
    ----------------------------------------------------------------------
    Best             .            .             .              .
    Worst            .            .             .              .
    Average          .            .             .              .
    ----------------------------------------------------------------------

   The table covers all of the 1-, 5-, 10-, and 20-year periods from 1926
through 1998. You can see, for example, that while the average return on stocks
for all of the 5-year periods was o%, returns for individual 5-year periods
ranged from a -12.5% average (from 1928 through 1932) to 23.9% (from 1950
through 1954). These average returns reflect past performance on common stocks;
you should not regard them as an indication of future returns from either the
stock market as a whole or this Fund in particular.

   Finally, because Vanguard Convertible Securities Fund's holdings are not
identical to the S&P 500 Index or any other market index, the performance of the
Fund will not mirror the returns of any particular index.
<PAGE>
 
6


                                PLAIN TALK ABOUT
                                  Turnover Rate

Before investing in a mutual fund, you should review its turnover rate. This
gives an indication of how transaction costs could affect the fund's future
returns. In general, the greater the volume of buying and selling by the fund,
the greater the impact that brokerage commissions and other transaction costs
will have on its return. Also, funds with high turnover rates may be more likely
to generate capital gains that must be distributed to shareholders as income
subject to taxes. The average turnover rate for all convertible securities funds
is approximately X%, according to Morningstar, Inc.

Security Selection
Oaktree Capital Management, LLC ("Oaktree"), adviser to the Fund, generally
selects convertible securities that offer attractive yields and were issued by
companies with above-average growth potential. In general, each security
selected for the Fund will, in Oaktree's opinion, be priced at a reasonable
premium relative to the price at which it can be converted into common stock.

[GRAPHIC  The Fund is subject to credit risk, which is the chance that a bond 
APPEARS   issuer will fail to repay interest and principal in a timely manner.
HERE]

   Companies that issue convertible securities often do not have high credit
ratings. In addition, the credit rating of a company's convertible securities is
typically lower than the rating of the company's conventional debt securities,
since convertibles are normally considered "junior" securities--that is, the
company usually must pay interest on its conventional debt before it can make
payments on its convertible securities.

  The Fund invests primarily in convertible securities that are rated B, Ba,
or Baa by Moody's Investors Service or B, BB, or BBB by Standard and
Poor's Corporation. Reflecting the universe of convertible securities, most
of the Fund's holdings that are rated are below investment grade. The
Fund may also invest in nonrated securities that, in the opinion of the adviser,
are equivalent in quality to a B rating or better. Therefore, credit risk is
greater for the Fund than for funds that invest in higher-grade bonds.

   The Fund is generally managed without regard to tax ramifications.

                                PLAIN TALK ABOUT
                                   Derivatives

A derivative is a financial contract whose value is based on (or "derived" from)
a traditional security (such as a stock or a bond), an asset (such as a
commodity like gold), or a market index (such as the S&P 500 Index). Futures and
options are derivatives that have been trading on regulated exchanges for more
than two decades. These "traditional" derivatives are standardized contracts
that can easily be bought and sold, and whose market values are determined and
published daily. It is these characteristics that differentiate futures and
options from the relatively new types of derivatives. If used for speculation or
as leveraged investments, derivatives can carry considerable risks.

[GRAPHIC  The Fund is subject to manager risk, which is the possibility that 
APPEARS   the adviser may do a poor job of selecting stocks.
HERE]

Turnover Rate
Although the Fund generally seeks to invest for the long term, it retains the
right to sell securities regardless of how long the securities have been held.
The Fund's average turnover rate for the past five years has been about .%. (A
turnover rate of 100% would occur, for example, if the Fund sold and replaced
securities valued at 100% of its net assets within a one-year period.)

   Note: Because the Fund changed its investment adviser in November 1996, the
turnover rate for 1997 exceeded 100%.

Other Investment Policies and Risks
Besides investing in convertible securities, the Fund may make certain other
kinds of investments to achieve its objective.

   Although the Fund typically does not make significant investments in
securities of companies based outside the United States, the Fund reserves the
right to invest up to 20% of its assets in foreign securities. These securities
may be traded in U.S. or foreign markets. To the extent that it owns foreign
stocks, the Fund is subject to (1) country risk, which is the possibility that
political events (such as a war), financial problems
<PAGE>
 
                                                                               7



(such as government default), or natural disasters (such as an earthquake) will
weaken a country's economy and cause investments in that country to lose money,
and (2) currency risk, which is the possibility that Americans investing abroad
could lose money because of a rise in the value of the U.S. dollar versus
foreign currencies.

   The Fund may also invest, to a limited extent, in stock futures and options
contracts, which are traditional types of derivatives. Losses (or gains)
involving futures can sometimes be substantial--in part because a relatively
small price movement in a futures contract may result in an immediate and
substantial loss (or gain) for a fund. This Fund will not use futures for
speculative purposes or as leveraged investments that magnify the gains or
losses of an investment. The value of all futures and options contracts in which
the Fund acquires an interest cannot exceed 20% of total assets.

   The reasons for which the Fund will invest in futures and options are:

 .  To keep cash on hand to meet shareholder redemptions or other needs while
   simulating full investment in stocks. 
 .  To reduce the Fund's transaction costs or add value when these instruments
   are favorably priced.

   The Fund may, from time to time, take temporary defensive measures--such as
holding cash reserves without limit--that are inconsistent with the Fund's
primary investment strategies, in response to adverse market, economic,
political, or other conditions. In taking such measures, the Fund may not
achieve its investment objective.

The Fund and Vanguard

The Fund is a member of The Vanguard Group, a family of more than 35 investment
companies with more than 100 distinct investment portfolios holding assets worth
more than $420 billion. All of the Vanguard funds share in the expenses
associated with business operations, such as personnel, office space, equipment,
and advertising.

   Vanguard also provides marketing services to the funds. Although shareholders
do not pay sales commissions or 12b-1 distribution fees, each fund pays its
allocated share of The Vanguard Group's marketing costs.

Investment Adviser

The Fund employs Oaktree Capital Management, LLC, 333 South Grand Avenue, 28th
Floor, Los Angeles, CA, 90071 as its investment adviser. Oaktree manages the
Fund subject to the control of the Trustees and officers of the Fund.

   Oaktree's advisory fee is paid quarterly. This fee is based on certain annual
percentage rates applied to the Fund's average month-end assets for each
quarter.

                                PLAIN TALK ABOUT
                      Vanguard's Unique Corporate Structure

The Vanguard Group is truly a mutual mutual fund company. It is owned jointly by
the funds it oversees and thus indirectly by the shareholders in those funds.
Most other mutual funds are operated by for-profit management companies that may
be owned by one person, by a group of individuals, or by investors who own the
management company's stock. By contrast, Vanguard provides its services on an
"at-cost" basis, and the funds' expense ratios reflect only these costs. No
separate management company reaps profits or absorbs losses from operating the
funds.

                                PLAIN TALK ABOUT
                               The Fund's Adviser

Oaktree Capital Management, LLC, is an investment advisory firm founded in 1995.
Oaktree focuses on certain specialized investment areas, including convertible
securities. As of November 30, 1998, Oaktree managed more then $o billion in
assets.

   The manager responsible for overseeing the implementation of Oaktree's
strategy for Vanguard Convertible Securities Fund is:

   Larry W. Keele, Principal and Founder of Oaktree; has worked in investment
management since 1981; has managed portfolio investments since 19__; B.A.,
Tennessee Tech University; M.B.A., University of South Carolina.
<PAGE>
 
8


   For the year ended November 30, 1998, the net fee paid to Oaktree was $ .
million, after a [increase/decrease] of $. based on performance. This fee
represented an effective annual rate of .% of the Fund's average net assets.
 
   In addition, Oaktree's advisory fee is increased or decreased, based on the
cumulative investment performance of the Fund as compared to the cumulative
total return of the Credit Suisse First Boston Convertible Securities Index.
Under this fee arrangement, Oaktree's fee can be increased or decreased by as
much as 50%.
 
   The incentive/penalty fee structure will not be in full operation until the
quarter ending November 30, 1999. Until then, the incentive/penalty fee will be
calculated using certain transition rules.

   The Fund has authorized Oaktree to choose brokers or dealers to handle the
purchase and sale of securities for the Fund, and to get the best available
price and most favorable execution from these brokers with respect to all
transactions.

   In the interest of obtaining better execution of a transaction, Oaktree may
choose brokers who charge higher commissions. If more than one broker can obtain
the best available price and favorable execution of a transaction, then Oaktree
is authorized to choose a broker who, in addition to executing the transaction,
will provide research services to Oaktree or the Fund. Also, the Fund may direct
Oaktree to use a particular broker for certain transactions in exchange for
commission rebates or research services provided to the Fund.

   The Board of Trustees may, without prior approval from shareholders, change
the terms of the advisory agreement or hire a new investment adviser, either as
a replacement for Oaktree or as an additional adviser. However, any such change
will be communicated to shareholders in writing.

Year 2000 Challenge

The common practice in computer programming of using just two digits to identify
a year has resulted in the Year 2000 challenge throughout the information
technology industry. If unchanged, many computer applications and systems could
misinterpret dates occurring after December 31, 1999, leading to errors or
failure. Such failure could adversely affect a fund's operations, including
pricing, securities trading, and the servicing of shareholder accounts.

   The Vanguard Group is dedicated to providing uninterrupted, high-quality
performance from our computer systems before, during, and after 2000. In July
1998, we completed the renovation and initial testing of our internal systems.

Vanguard is diligently working with external partners, suppliers, and vendors,
including fund managers and other service providers, to assure that the systems
with which we interact remain operational at all times.

   In addition to taking every reasonable step to secure our internal systems
and external relationships, Vanguard is further developing contingency plans
intended to assure that unexpected systems failures will not adversely affect
the Fund's operations. Vanguard intends to monitor these processes through the
rollover of 1999 into 2000 and to quickly implement alternate solutions if
necessary.

   However, despite Vanguard's efforts and contingency plans, noncompliant
computer systems could have a material adverse effect on the Fund's business,
operations, or financial condition. Additionally, the Fund's performance could
be hurt if a computer-system failure at a company or governmental unit affects
the price of securities the Fund owns.

                                PLAIN TALK ABOUT
                                  Distributions

As a shareholder, you are entitled to your share of the fund's income from
interest and dividends, and gains from the sale of investments. You receive such
earnings as either an income dividend or a capital gains distribution. Income
dividends come from both the dividends that the fund earns from its holdings and
the interest it receives from its money market and bond investments. Capital
gains are realized whenever the fund sells securities for higher prices than it
paid for them. The capital gains are either short-term or long-term depending on
whether the fund held the securities for less than or more than one year.

Dividends, Capital Gains, and Taxes

The Fund distributes to shareholders virtually all of its net income (interest
and dividends less expenses), as well as any capital gains realized from the
sale of its holdings. Income distributions generally occur in March, June,
September, and December; capital gains distributions generally occur in
December. You can receive distributions of income or capital
<PAGE>
 
                                                                               9

gains in cash, or you can have them automatically invested in more shares of the
Fund. In either case, these distributions are taxable to you. It is important to
note that distributions of dividends and capital gains that are declared in
December--if paid to you by the end of January--are taxed as if they had been
paid to you in December.

  Vanguard will send you a statement each year showing the tax status of all
your distributions. If you have chosen to receive dividend and/or capital gains
distributions in cash, and the postal or other delivery service is unable to
deliver checks to your address of record, we will change the distribution option
so that all dividends and other distributions are automatically invested in
additional shares. We will not pay interest on uncashed distribution checks. 

 .  The dividends and short-term capital gains that you receive are considered
   ordinary income for tax purposes.
 .  Any distributions of net long-term capital gains by the Fund are taxable to
   you as long-term capital gains, no matter how long you've owned shares in the
   Fund.
 .  Although the Fund does not seek to realize any particular amount of capital
   gains during a year, such gains are realized from time to time as by-products
   of its ordinary investment activities. Consequently, distributions may vary
   considerably from year to year.
 .  If you sell or exchange shares, any gain or loss you have is a taxable event.
   This means that you may have a capital gain to report as income, or a capital
   loss to report as a deduction, when you complete your federal income tax
   return.
 .  Distributions of dividends or capital gains, and capital gains or losses from
   your sale or exchange of Fund shares, may be subject to state and local
   income taxes as well.
   The tax information in this prospectus is provided as general information and
will not apply to you if you are investing through a tax-deferred account such
as an IRA or a qualified employee benefit plan. (Non-U.S. investors may be
subject to U.S. withholding and estate tax.) You should consult your tax adviser
about the tax consequences of an investment in the Fund.
   Important Note: By law, the Fund must withhold 31% of your taxable
distributions and any redemption proceeds if you do not provide your correct
taxpayer identification number, or certify that it is correct, or if the IRS
instructs the Fund to do so.

                                PLAIN TALK ABOUT

                               "Buying a Dividend"

Unless you are investing through a tax-deferred retirement account (such as an
IRA), it is not to your advantage to buy shares of a fund shortly before it
makes a distribution, because doing so can cost you money in taxes. This is
known as "buying a dividend." For example: On December 15, you invest $5,000,
buying 250 shares for $20 each. If the fund pays a distribution of $1 per share
on December 16, its share price would drop to $19 (not counting market change).
You still have only $5,000 (250 shares x $19 = $4,750 in share value, plus 250
shares x $1 = $250 in distributions), but you owe tax on the $250 distribution
you received--even if you reinvest it in more shares. To avoid "buying a
dividend," check a fund's distribution schedule before you invest.

Share Price

The Fund's share price, called its net asset value, or NAV, is calculated each
business day after the close of trading on the New York Stock Exchange (the NAV
is not calculated on holidays or other days the Exchange is closed). Net asset
value per share is computed by adding up the total value of the Fund's
investments and other assets, subtracting any of its liabilities (debts), and
then dividing by the number of Fund shares outstanding:

                                          Total Assets - Liabilities
                Net Asset Value = -------------------------------------
                                          Number of Shares Outstanding

   Knowing the daily net asset value is useful to you as a shareholder because
it indicates the current value of your investment. The Fund's NAV, multiplied by
the number of shares you own, gives you the dollar amount you would have
received had you sold all of your shares back to the Fund that day.
   A Note on Pricing: The Fund's investments will be priced at their market
value when market quotations are readily available. When these quotations are
not readily available, investments will be priced at their fair value,
calculated according to procedures adopted by the Fund's Board of Trustees.
<PAGE>
 
10

   The Fund's share price can be found daily in the mutual fund listings of
most major newspapers under the heading "Vanguard Funds." Different newspapers
use different abbreviations of the Fund's name, but the most common is Convrt.

                                PLAIN TALK ABOUT

                   How to Read the Financial Highlights Table

The Fund began fiscal 1998 with a net asset value (price) of $ . per share.
During the year, the Fund earned $ . per share from investment income (interest
and dividends) and $ . per share from investments that had appreciated in value
or that were sold for higher prices than the Fund paid for them.
   Shareholders received $X per share in the form of dividend and capital gains
distributions. A portion of each year's distributions may come from the prior
year's income or capital gains.
   The earnings ($ . per share) minus the distributions ($ . per share) resulted
in a share price of $ . at the end of the year. This was an increase of $ . per
share (from $ . at the beginning of the year to $ . at the end of the year). For
a shareholder who reinvested the distributions in the purchase of more shares,
the total return from the Fund was . % for the year.
   As of November 30, 1998, the Fund had $ . billion in net assets. For the
year, its expense ratio was . % ($ . per $1,000 of net assets); and its net
investment income amounted to . % of its average net assets. It sold and
replaced securities valued at . % of its net assets.

Financial Highlights

The following financial highlights table is intended to help you understand the
Fund's financial performance for the past five years, and certain information
reflects financial results for a single Fund share. The total returns in the
table represent the rate that an investor would have earned or lost each year on
an investment in the Fund (assuming reinvestment of all dividends and
distributions). This information has been derived from the financial statements
audited by PricewaterhouseCoopers LLP, independent accountants, whose
report--along with the Fund's financial statements--is included in the Fund's
most recent annual report to shareholders. You may have the annual report sent
to you without charge by contacting Vanguard.
<TABLE> 
<CAPTION> 
- ------------------------------------------------------------------------------------------
                                                   Vanguard Convertible Securities Fund
                                                         Year Ended November 30,
                                            ----------------------------------------------
                                              1998     1997      1996      1995      1994
- ------------------------------------------------------------------------------------------
<S>                                           <C>   <C>       <C>       <C>       <C>   
Net Asset Value, Beginning of Year            $ *   $ 13.07   $ 12.03   $ 10.94   $ 12.89
Investment Operations
  Net Investment Income                       *         .53       .43       .52       .53
  Net Realized and Unrealized Gain (Loss)
    on Investments                            *        1.17      1.29      1.26     (1.04)
                                            ----------------------------------------------
    Total from Investment Operations          *        1.70      1.72      1.78      (.51)
                                            ----------------------------------------------
Distributions
  Dividends from Net Investment Income        *        (.47)     (.54)     (.51)     (.53)
  Distributions from Realized Capital Gains   *       (1.29)     (.14)     (.18)     (.91)
                                            ----------------------------------------------
    Total Distributions                       *       (1.76)     (.68)     (.69)    (1.44)
                                            ----------------------------------------------
Net Asset Value, End of Year                  $ *   $ 13.01   $ 13.07   $ 12.03   $ 10.94
==========================================================================================

Total Return                                  *%      14.81%    14.88%    17.10%   -4.35%
==========================================================================================

Ratios/Supplemental Data
  Net Assets, End of Year (Millions)          $ *   $   189   $   170   $   172   $   175
  Ratio of Total Expenses to
    Average Net Assets                        *%       0.67%     0.69%     0.75%     0.73%
  Ratio of Net Investment Income to
    Average Net Assets                        *%       4.29%     3.43%     4.63%     4.68%
  Portfolio Turnover Rate                     *%        182%       97%       46%       52%
==========================================================================================
</TABLE> 
   From time to time, the Vanguard funds advertise yield and total return
figures. Yield is a measure of past dividend income. Total return includes both
past dividend income (assuming that it has been reinvested) plus realized and
unrealized capital appreciation (or depreciation). Neither yield nor total
return should be used to predict the future performance of a fund.

"Standard & Poor's(R)," "S&P(R)," "S&P 500(R)," "Standard & Poor's 500,"
and "500" are trademarks of The McGraw-Hill Companies, Inc.
<PAGE>
 
                                                                              11

Investing with Vanguard

Are you looking for the most convenient way to open or add money to a Vanguard
account? Obtain instant access to fund information? Establish an account for a
minor child or for your retirement savings?
   Vanguard can help. Our goal is to make it easy and pleasant for you to do
business with us.
   The following sections of the prospectus briefly explain the many services we
offer. Booklets providing detailed information are available on the services
marked with a [GRAPHIC APPEARS HERE]. Please call us to request copies.

Services and Account Features

Vanguard offers many services that make it convenient to buy, sell, or exchange
shares, or to obtain fund or account information.
- --------------------------------------------------------------------------------
Telephone Redemptions (Sales and Exchanges) 
Automatically set up for this Fund unless you notify us otherwise.
- --------------------------------------------------------------------------------
Vanguard Direct Deposit Service(TM) [GRAPHIC APPEARS HERE]
Automatic method for depositing your paycheck or U.S. government payment
(including Social Security and government pension checks) into your account.
- --------------------------------------------------------------------------------
Vanguard Automatic Exchange Service(TM) [GRAPHIC APPEARS HERE]
Automatic method for moving a fixed amount of money from one Vanguard fund
account to another. 
- --------------------------------------------------------------------------------
Vanguard Fund Express(R) [GRAPHIC APPEARS HERE]
Electronic method for buying or selling shares. You can transfer money between
your Vanguard fund account and an account at your bank, savings and loan, or
credit union on a systematic schedule or whenever you wish.
- --------------------------------------------------------------------------------
Vanguard Dividend Express(TM) [GRAPHIC APPEARS HERE]
Electronic method for transferring dividend and/or capital gains distributions
directly from your Vanguard fund account to your bank, savings and loan, or
credit union account.
- --------------------------------------------------------------------------------
Vanguard Tele-Account(R) 1-800-662-6273 (ON-BOARD) [GRAPHIC APPEARS HERE] 
Toll-free 24-hour access to Vanguard fund and account information--as well as
some transactions--by using any touch-tone phone. Tele-Account provides total
return, share price, price change, and yield quotations for all Vanguard funds;
gives your account balances and history (e.g., last transaction, latest dividend
distribution); and allows you to sell or exchange fund shares. 
- --------------------------------------------------------------------------------
Access Vanguard(TM) www.vanguard.com [GRAPHIC APPEARS HERE]
You can use your personal computer to perform certain transactions for most
Vanguard funds by accessing our website. To establish this service, you must
register through the website. We will then send to you, by mail, an account
access password that allows you to process the following financial and
administrative transactions online:

 .  Open a new account *.
 .  Buy, sell or exchange shares of most funds.
 .  Change your name/address.
 .  Add/change fund options (including dividend options, Vanguard Fund Express,
   bank instructions, checkwriting, and Vanguard Automatic Exchange Service).

 .  Only current Vanguard shareholders can open a new account online, by
   exchanging shares from other existing Vanguard accounts.
- --------------------------------------------------------------------------------
Investor Information Department: 1-800-662-7447 (SHIP) Text Telephone:
1-800-952-3335 Call Vanguard for information on our funds, fund services, and
retirement accounts, and to request literature.
- --------------------------------------------------------------------------------
Client Services Department: 1-800-662-2739 (CREW) Text Telephone: 1-800-662-2738
Call Vanguard for information on your account, account transactions, and account
statements.
- --------------------------------------------------------------------------------
Services for Clients of Vanguard's Institutional Division: 1-888-809-8102
Vanguard's Institutional Division offers a variety of specialized services for
large institutional investors, including the ability to effect account
transactions through private electronic networks and third-party recordkeepers.
- --------------------------------------------------------------------------------
<PAGE>
 
12

Types of Accounts

Individuals and institutions can establish a variety of accounts with Vanguard.
- --------------------------------------------------------------------------------
For One or More People
Open an account in the name of one (individual) or more (joint tenants) people.
- --------------------------------------------------------------------------------
For Holding Personal Trust Assets [GRAPHIC APPEARS HERE]
Invest assets held in an existing personal trust.
- --------------------------------------------------------------------------------
For Individual Retirement Accounts [GRAPHIC APPEARS HERE]
Open a traditional IRA account or a Roth IRA account. Eligibility and other
requirements are established by federal law and Vanguard custodial account
agreements. For more information, please call 1-800-662-7447 (SHIP). 
- --------------------------------------------------------------------------------
For an Organization [GRAPHIC APPEARS HERE]
Open an account as a corporation, partnership, endowment, foundation, or other
entity. 
- --------------------------------------------------------------------------------
For Third-Party Trustee Retirement Investments 
Open an account as a retirement trust or plan based on an existing corporate or
institutional plan. These accounts are established by the trustee of the
existing plan. 
- --------------------------------------------------------------------------------
Vanguard Prototype Plans 
Open a variety of retirement accounts using Vanguard prototype plans for
individuals, sole proprietorships, and small businesses. For more information,
please call 1-800-662-2003.
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
A Note on Investing with Vanguard Through Other Firms
You may purchase or sell Fund shares through a financial intermediary such as a
bank, broker, or investment adviser. If you invest with Vanguard through an
intermediary, please read that firm's program materials carefully to learn of
any special rules that may apply. For example, special terms may apply to
additional service features, fees or other policies. Consult your intermediary
to determine when your order will be priced.
- --------------------------------------------------------------------------------

Buying Shares

You buy your shares at the Fund's next-determined net asset value after Vanguard
receives your request. As long as your request is received before the close of
trading on the New York Stock Exchange, generally 4 p.m. Eastern time, you will
buy your shares at that day's net asset value. 
- --------------------------------------------------------------------------------
Minimum Investment to . . . 
open a new account 
$3,000 (regular account); $1,000 (Traditional IRAs and Roth IRAs).

add to an existing account
$100 by mail or exchange; $1,000 by wire.
- --------------------------------------------------------------------------------
A Note on Low Balances
The Fund reserves the right to close any nonretirement account whose balance
falls below the minimum initial investment. The Fund will deduct a $10 annual
fee in June if your nonretirement account balance falls below $2,500.
The fee is waived if your total Vanguard account assets are $50,000 or more.

By Mail to . . . [GRAPHIC APPEARS HERE]
open a new account
Complete and sign the application form and enclose your check.

add to an existing account
Mail your check with an Invest-By-Mail form detached from your confirmation
statement to the address listed on the form.
<PAGE>
 
                                                                              13
                                                                          
Make your check payable to: The Vanguard Group-82
All purchases must be made in U.S. dollars, and checks must be drawn on U.S. 
banks.

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 1110                             455 Devon Park Drive
Valley Forge, PA 19482-1110               Wayne, PA 19087-1815

For clients of Vanguard's Institutional Division . . .

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 2900                             455 Devon Park Drive
Valley Forge, PA 19482-2900               Wayne, PA 19087-1815
- --------------------------------------------------------------------------------
IMPORTANT NOTE: To prevent check fraud, Vanguard will not accept checks made 
payable to third parties.
- --------------------------------------------------------------------------------
By Telephone to . . . [GRAPHIC APPEARS HERE]
open a new account
Call Vanguard Tele-Account* 24 hours a day--or Client Services during business
hours--to exchange from another Vanguard fund account with the same registration
(name, address, taxpayer identification number, and account type).

add to an existing account
Call Vanguard Tele-Account*  24 hours a day--or Client Services during business
hours--to exchange from another Vanguard fund account with the same registration
(name, address, taxpayer identification number, and account type). Use Vanguard
Fund Express (see "Services and Account Features") to transfer assets from your
bank account. Call Client Services before your first use to verify that this
option is in place.

Vanguard Tele-Account                 Client Services
1-800-662-6273                        1-800-662-2739

*  You must obtain a Personal Identification Number through Tele-Account at
   least seven days before you request your first exchange.
- --------------------------------------------------------------------------------
IMPORTANT NOTE: Once you've requested a telephone transaction and a confirmation
number has been assigned, the transaction cannot be revoked. We reserve the
right to refuse any purchase request. 
- --------------------------------------------------------------------------------
By Wire to Open a New Account or Add to an Existing Account [GRAPHIC 
APPEARS HERE]
Call Client Services to arrange your wire transaction. Wire transactions are not
available for retirement accounts, except for asset transfers and direct
rollovers.

Wire to:
FRB ABA 021001088
Marine Midland Bank, New York

For credit to:
Account: 000112046
Vanguard Incoming Wire Account

In favor of:
Vanguard Convertible Securities Fund--82 
[Account number, or temporary number for a new account] 
[Registered account owner/s] 
[Registered address]
- --------------------------------------------------------------------------------
   You can redeem (that is, sell or exchange) shares purchased by check or
Vanguard Fund Express at any time. However, while your redemption request will
be processed at the next-determined net asset value after it is received, your
redemption proceeds will not be available until payment for your purchase is
collected, which may take up to ten calendar days.
<PAGE>
 
14

   Keep in mind that if you buy or sell Fund shares through a registered
broker/dealer or investment adviser, the broker/dealer or adviser may charge you
a service fee.
- --------------------------------------------------------------------------------
A Note on Large Purchases 
It is important that you call Vanguard before you invest a large dollar amount.
We must consider the interests of all Fund shareholders and so reserve the right
to refuse any purchase that will disrupt the Fund's operation or performance.
- --------------------------------------------------------------------------------

Redeeming Shares

This section describes how you can redeem--that is, sell or exchange--the Fund's
shares.

When Selling Shares:

 .  Vanguard sends the redemption proceeds to you or a designated third party.*
 .  You can sell all or part of your Fund shares at any time.

*  Proceeds sent to third parties require a signature guarantee; see footnote on
   page 16.

When Exchanging Shares:

 .  The redemption proceeds are used to purchase shares of a different Vanguard
   fund.
 .  You must meet the receiving fund's minimum investment requirements.
 .  Vanguard reserves the right to revise or terminate the exchange privilege,
   limit the amount of an exchange, or reject an exchange at any time, without
   notice.

In both cases, your transaction will be based on the Fund's next-determined
share price, subject to any special rules discussed in this prospectus. For
exchanges, the purchase side of the transaction will be based on the receiving
fund's next-determined share price, again subject to any special rules discussed
in this prospectus. 
- --------------------------------------------------------------------------------
Note: Once a redemption is processed and a confirmation number given, the
transaction cannot be canceled.
- --------------------------------------------------------------------------------

HOW TO REQUEST A REDEMPTION
You can request a redemption (that is, either a sale or exchange of shares) from
your Fund account in any one of three ways: online, by telephone, or by mail.
- --------------------------------------------------------------------------------
Online Requests [GRAPHIC APPEARS HERE]
Access Vanguard at www.vanguard.com 
You can use your personal computer to sell or exchange shares of most Vanguard
funds by accessing our website. To establish this service, you must register
through the website. We will then send you, by mail, an account access password
that will enable you to sell or exchange shares online (as well as perform other
transactions).
   Note: The Vanguard funds whose shares you cannot exchange online or by
telephone are Vanguard U.S. Stock Index Funds, Vanguard Balanced Index Fund,
Vanguard International Stock Index Funds, Vanguard REIT Index Fund, Vanguard
Total International Stock Index Fund, and Vanguard Growth and Income Fund. These
funds do, however, permit online and telephone exchanges within IRAs and other
retirement accounts. If you sell shares of these funds online, you will receive
a redemption check at your address of record.
- --------------------------------------------------------------------------------
Telephone Requests [GRAPHIC APPEARS HERE]
All Account Types Except Retirement: 
Call Vanguard Tele-Account 24 hours a day--or Client Services during business
hours--to sell or exchange shares. You can exchange shares from this Fund to
open an account in another Vanguard fund or to add to an existing Vanguard fund
account with an identical registration.
<PAGE>
 
                                                                              15

Retirement Accounts:
You can exchange--but not sell--shares by calling Tele-Account or Client
Services.

Vanguard Tele-Account                 Client Services
1-800-662-6273                        1-800-662-2739
- --------------------------------------------------------------------------------
SPECIAL INFORMATION: We will automatically establish the telephone redemption
option for your account, unless you instruct us otherwise in writing. While
telephone redemption is easy and convenient, this account feature involves a
risk of loss from unauthorized or fraudulent transactions. Vanguard will take
reasonable precautions to protect your account from fraud. You should do the
same by keeping your account information private and immediately reviewing any
account statements that we send to you. Make sure to contact Vanguard
immediately about any transaction you believe to be unauthorized. 
- --------------------------------------------------------------------------------
We reserve the right to refuse a telephone redemption if the caller is unable to
provide:

[x] The ten-digit account number.
[x] The name and address exactly as registered on the account.
[x] The primary Social Security or employer identification number as registered
    on the account.
[x] The Personal Identification Number, if applicable.

   Please note that Vanguard will not be responsible for any account losses due
to telephone fraud, so long as we have taken reasonable steps to verify the
caller's identity. If you wish to remove the telephone redemption feature from
your account, please notify us in writing.
- --------------------------------------------------------------------------------
A Note on Unusual Circumstances 
Vanguard reserves the right to revise or terminate the redemption privilege at
any time, without notice. In addition, Vanguard can stop selling shares or
postpone payment at times when the New York Stock Exchange is closed or under
any emergency circumstances as determined by the U.S. Securities and Exchange
Commission. If you experience difficulty making a telephone redemption during
periods of drastic economic or market change, you can send us your request by
regular or express mail. Follow the instructions on selling or exchanging shares
by mail in this section. 
- --------------------------------------------------------------------------------
Mail Requests [GRAPHIC APPEARS HERE]
All Account Types Except Retirement:
Send a letter of instruction signed by all registered account holders. Include
the fund name and account number and (if you are selling) a dollar amount or
number of shares OR (if you are exchanging) the name of the fund you want to
exchange into and a dollar amount or number of shares. To exchange into an
account with a different registration (including a different name, address,
taxpayer identification number, or account type), you must provide Vanguard with
written instructions that include the guaranteed signatures of all current
owners of the fund from which you wish to redeem.

Vanguard Retirement Accounts:
For information on how to request distributions from:
 .  Traditional IRAs and Roth IRAs--call Client Services.
 .  SEP-IRAs, SIMPLE IRAs, 403(b)(7) custodial accounts, and Profit-Sharing and
   Money Purchase Pension (Keogh) Plans--call Individual Retirement Plans at
   1-800-662-2003.

Depending on your account registration type, additional documentation may be
required.

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 1120                             455 Devon Park Drive
Valley Forge, PA 19482-1120               Wayne, PA 19087-1815
<PAGE>
 
16

Redeeming Shares (continued)

For clients of Vanguard's Institutional Division ...

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 2900                             455 Devon Park Drive
Valley Forge, PA 19482-2900               Wayne, PA 19087-1815
- --------------------------------------------------------------------------------
A Note on Large Redemptions
It is important that you call Vanguard before you redeem a large dollar amount.
We must consider the interests of all fund shareholders and so reserve the right
to delay delivery of your redemption proceeds--up to seven days--if the amount
will disrupt the Fund's operation or performance.
   If you redeem more than $250,000 worth of Fund shares within any 90-day
period, the Fund reserves the right to pay part or all of the redemption
proceeds above $250,000 in kind, i.e., in securities, rather than in cash. If
payment is made in kind, you may incur brokerage commissions if you elect to
sell the securities for cash.
- --------------------------------------------------------------------------------

OPTIONS FOR REDEMPTION PROCEEDS
You may receive your redemption proceeds in one of two ways: check or exchange
to another Vanguard fund. 
- --------------------------------------------------------------------------------
Check Redemptions 
Normally, Vanguard will mail your check within two business days of a
redemption. 
- --------------------------------------------------------------------------------
Exchange Redemptions 
As described above, an exchange involves using the proceeds of your redemption
to purchase shares of another Vanguard fund.
- --------------------------------------------------------------------------------

FOR OUR MUTUAL PROTECTION
For your best interests and ours, Vanguard applies these additional requirements
to redemptions: 

Request in "Good Order" 
All redemption requests must be received by Vanguard in "good order." This means
that your request must include:
[x] The Fund name and account number.
[x] The amount of the transaction (in dollars or shares).
[x] Signatures of all owners exactly as registered on the account (for mail
    requests).
[x] Signature guarantees (if required). *
[x] Any supporting legal documentation that may be required.
[x] Any outstanding certificates representing shares to be redeemed.

*  For instance, a signature guarantee must be provided by all registered
   account shareholders when redemption proceeds are to be sent to a different
   person or address. A signature guarantee can be obtained from most banks,
   credit unions, and licensed brokers.

Transactions are processed at the next-determined share price after Vanguard has
received all required information.
- --------------------------------------------------------------------------------
Limits on Account Activity
Because excessive account transactions can disrupt management of the Fund and
increase the Fund's costs for all shareholders, Vanguard limits account activity
as follows:

 .  You may make no more than two substantive "round trips" through the Fund
   during any 12-month period.
 .  Your round trips through the Fund must be at least 30 days apart.
 .  The Fund may refuse a share purchase at any time, for any reason.
 .  Vanguard may revoke an investor's telephone exchange privilege at any time,
   for any reason.

A "round trip" is a redemption from the Fund followed by a purchase back into
the Fund. Also, "round trip" covers transactions accomplished by any combination
of methods, including transactions conducted by check, wire, or exchange to/from
another Vanguard fund. "Substantive" means a dollar amount that Vanguard
determines, in its sole discretion, could adversely affect the management of the
Fund.
- --------------------------------------------------------------------------------
<PAGE>
 
                                                                              17
- --------------------------------------------------------------------------------
Return Your Share Certificates
Any portion of your account represented by share certificates cannot be redeemed
until you return the certificates to Vanguard. Certificates must be returned
(unsigned), along with a letter requesting the sale or exchange you wish to
process, via certified mail to:

The Vanguard Group
455 Devon Park Drive
Wayne, PA 19087-1815
- --------------------------------------------------------------------------------
All Trades Final
Vanguard will not cancel any transaction request (including any purchase or
redemption) that we believe to be authentic once the request has been received
and a confirmation number assigned.
- --------------------------------------------------------------------------------


Transferring Registration

You can transfer the registration of your Fund shares to another owner by
completing a transfer form and sending it to Vanguard.

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 1110                             455 Devon Park Drive
Valley Forge, PA 19482-1110               Wayne, PA 19087-1815

For clients of Vanguard's Institutional Division . . .

First-class mail to:                      Express or Registered mail to:
The Vanguard Group                        The Vanguard Group
P.O. Box 2900                             455 Devon Park Drive
Valley Forge, PA 19482-2900               Wayne, PA 19087-1815
- --------------------------------------------------------------------------------


Fund and Account Updates

STATEMENTS AND REPORTS
We will send you account and tax statements to help you keep track of your Fund
account throughout the year as well as when you are preparing your income tax
returns.
   In addition, you will receive financial reports about the Fund twice a year.
These comprehensive reports include an assessment of the Fund's performance (and
a comparison to its industry benchmark), an overview of the markets, a report
from the advisers, and the Fund's financial statements which include a listing
of the Fund's holdings.

   To keep the Fund's costs as low as possible (so that you and other
shareholders can keep more of the Fund's investment earnings), Vanguard attempts
to eliminate duplicate mailings to the same address. When we find that two or
more Fund shareholders have the same last name and address, we send just one
Fund report to that address--instead of mailing separate reports to each
shareholder. If you want us to send separate reports, however, you may notify
our Investor Information Department at 1-800-662-7447. 
- --------------------------------------------------------------------------------
Confirmation Statement
Sent each time you buy, sell, or exchange shares; confirms the trade date and
the amount of your transaction.
- --------------------------------------------------------------------------------
Portfolio Summary [GRAPHIC APPEARS HERE]
Mailed quarterly for most accounts; shows the market value of your account at
the close of the statement period, as well as distributions, purchases, sales,
and exchanges for the current calendar year.
- --------------------------------------------------------------------------------
<PAGE>
 
Fund and Account Updates (continued)

- --------------------------------------------------------------------------------
Fund Financial Reports
Mailed in January and July for this Fund.
- --------------------------------------------------------------------------------
Tax Statements
Generally mailed in January; report previous year's dividend and capital gains
distributions, proceeds from the sale of shares, and distributions from IRAs or
other retirement accounts. 
- --------------------------------------------------------------------------------
Average Cost Review Statement [GRAPHIC APPEARS HERE]
Issued quarterly for most taxable accounts (accompanies your Portfolio Summary);
shows the average cost of shares that you redeemed during the calendar year,
using the average cost single category method.
- --------------------------------------------------------------------------------
<PAGE>
 
                     (This page intentionally left blank.)
<PAGE>
 
                     (This page intentionally left blank.)
<PAGE>
 
Glossary of Investment Terms

Bond
A debt security (IOU) issued by a corporation, government, or government agency
in exchange for the money you lend it. In most instances, the issuer agrees to
pay back the loan by a specific date and make regular interest payments until
that date.

Capital Gains Distribution
Payment to mutual fund shareholders of gains realized on securities that the
fund has sold at a profit, minus any realized losses.

Cash Reserves
Cash deposits, short-term bank deposits, and money market instruments which
include U.S. Treasury bills, bank certificates of deposit (CDs), repurchase
agreements, commercial paper, and banker's acceptances.

Common Stock
A security representing ownership rights in a corporation. A stockholder is
entitled to share in the company's profits, some of which may be paid out as
dividends.

Convertible Securities
Hybrid securities, combining the investment characteristics of both bonds and
common stocks. Like a bond (or preferred stock), a convertible security pays a
fixed income rate (dividend), but may be converted into common stock at a
specific price or conversion rate.

Credit Quality
A measure of a bond issuer's ability to repay interest and principal in a timely
manner.

Dividend Income
Payment to shareholders of income from interest or dividends generated by a
fund's investments.

Expense Ratio
The percentage of a fund's average net assets used to pay its expenses. The
expense ratio includes management fees, administrative fees, and any
12b-1distribution fees.

Face Value
The amount to be paid at maturity of a bond; also known as the par value or
principal.

Fixed-Income Securities
Investments, such as bonds, that have a fixed payment schedule. While the level
of income offered by these securities is predetermined, their prices may
fluctuate.

Investment Adviser
An organization that makes the day-to-day decisions regarding a fund's
investments.

Investment Grade
A bond whose credit quality is considered by independent bond-rating agencies to
be sufficient to ensure timely payment of principal and interest under current
economic circumstances.

Maturity
The date when a bond issuer agrees to repay the bond's principal, or face value,
to the bond's buyer.

Net  Asset  Value  (NAV)
The market value of a mutual fund's total assets, minus liabilities, divided by
the number of shares outstanding. The value of a single share is called its
share value or share price.

Principal
The amount of your own money you put into an investment.

Securities
Stocks, bonds, money market instruments, and other investment vehicles.

Total Return
A percentage change, over a specified time period, in a mutual fund's net asset
value, with the ending net asset value adjusted to account for the reinvestment
of all distributions of dividends and capital gains.

Volatility
The fluctuations in value of a mutual fund or other security. The greater a
fund's volatility, the wider the fluctuations between its high and low prices.

Yield
Income (interest or dividends) earned by an investment, expressed as a
percentage of the investment's price.
<PAGE>
 
                                       [LOGO OF THE VANGUARD GROUP APPEARS HERE]

                                                     Post Office Box 2600
                                                     Valley Forge, PA 19482-2600


For More Information 
If you'd like more information about Vanguard Convertible Securities Fund, the
following documents are available free upon request:

Annual/Semiannual Report to Shareholders 
Additional information about the Fund's investments is available in the Fund's
annual and semiannual reports to shareholders. In these reports, you will find a
discussion of the market conditions and investment strategies that significantly
affected the Fund's performance during the most recent fiscal year.

Statement of Additional 
Information (SAI) 
The SAI provides more detailed
information about the Fund.

The current annual and semiannual reports and the SAI are incorporated by
reference into (and are thus legally a part of) this prospectus.

To receive a free copy of the latest annual or semiannual report or the SAI, or
to request additional information about the Fund or other Vanguard funds, please
contact us as follows:

The Vanguard Group
Investor  Information
Department
P.O. Box 2600
Valley Forge, PA 19482-2600

Telephone:
1-800-662-7447 (SHIP)

Text Telephone:
1-800-952-3335

World Wide Web:
www.vanguard.com

E-mail:
[email protected]

If you are a current Fund shareholder and would like information about your
account, account transactions, and/or account statements, please call:

Client Services Department
Telephone:
1-800-662-2739 (CREW)

Text Telephone:
1-800-662-2738

Information provided by the Securities and Exchange Commission (SEC) 
You can review and copy information about the Fund (including the SAI) at the
SEC's Public Reference Room in Washington, D.C. To find out more about this
public service, call the SEC at 1-800-SEC-0330. Reports and other information
about the Fund are also available on the SEC's website (www.sec.gov), or you can
receive copies of this information, for a fee, by writing the Public Reference
Section, Securities and Exchange Commission, Washington, DC 20549-6009.

Fund's Investment Company Act file number: 811-4627

(C) 1999 Vanguard Marketing
Corporation, Distributor.
All rights reserved.

P073N-03/26/1999
<PAGE>
 
                            Vanguard
                            Convertible Securities
                            Fund

                            Prospectus
                            March 26, 1999

                            [GRAPHIC APPEARS HERE]


This prospectus contains financial data for the Fund through the fiscal year
ended November 30, 1998.
                                                       ---------------------
                                                            A member of
                                                          THEVanguardGROUP
                                                       ---------------------
<PAGE>
 
Vanguard Convertible Securities Fund

Prospectus
March 26, 1999

A Convertible Securities Mutual Fund

Contents

1  Fund Profile

3  Additional Information

3  A Word About Risk

3  Who Should Invest

4  Primary Investment Strategies

7  The Fund and Vanguard

7  Investment Adviser

8  Year 2000 Challenge

8  Dividends, Capital Gains, and Taxes

9  Share Price

10 Financial Highlights

11 Investing with Vanguard

11 Services and Account Features

12 Types of Accounts

12 Buying Shares

14 Redeeming Shares

17 Transferring Registration

17 Fund and Account Updates

Glossary (inside back cover)

- --------------------------------------------------------------------------------
Why Reading This Prospectus Is Important

This prospectus explains the objective, risks, and strategies of Vanguard
Convertible Securities Fund. To highlight terms and concepts important to mutual
fund investors, we have provided "Plain Talk((R))" explanations along the way.
Reading the prospectus will help you to decide whether the Fund is the right
investment for you. We suggest that you keep it for future reference.
- --------------------------------------------------------------------------------



Neither the Securities and Exchange Commission nor any state securities
commission has approved or disapproved of these securities or passed upon the
accuracy or adequacy of this prospectus. Any representation to the contrary is a
criminal offense.
<PAGE>
 
Fund Profile

The following profile summarizes key features of Vanguard Convertible Securities
Fund.

INVESTMENT OBJECTIVE
The Fund seeks to provide current income and long-term growth of capital.

INVESTMENT STRATEGIES
The Fund invests mainly in convertible securities, which are hybrid securities
that combine the investment characteristics of bonds and common stocks.
Convertible securities include corporate bonds and preferred stocks that are
convertible into common stock, as well as debt securities with warrants or
common stock attached.

PRIMARY RISKS
The Fund is subject to several risks, any of which could cause investors to lose
money. These include: 
 .  Interest rate risk, which is the chance that prices of convertible securities
   will decline over short or even long periods due to rising interest rates.
   The market value of a convertible security is particularly sensitive to
   changes in interest rates when the price at which the security may be
   converted to common stock is close to the price of the issuer's common stock.
 .  Stock market risk, which is the chance that prices of convertible securities
   will decline over short or even long periods due to a general decline in the
   stock market. The market value of a convertible security is particularly
   sensitive to changes in the price of the issuer's common stock when the price
   at which the security may be converted to stock is much higher than the
   stock's current price.
 .  Credit risk, which is the chance that an issuer will fail to pay interest or
   dividends on a convertible security in a timely manner. Companies that issue
   convertible securities are usually small-to-medium size, and they often lack
   top ratings for creditworthiness or credit quality. In addition, the credit
   rating of a company's convertible securities is generally lower than the
   rating of its conventional debt securities, since convertibles are normally
   considered "junior" securities--that is, the company is usually required to
   pay interest on its conventional debt before it can make payments on its
   convertible securities.
 .  Manager risk, which is the chance that poor security selection will cause the
   Fund to underperform other funds with similar investment objectives.

PERFORMANCE/RISK INFORMATION
The bar chart and table below provide an indication of the risk of investing in
the Fund. The bar chart shows the Fund's performance in each calendar year over
a ten-year period. The table shows how the Fund's average annual returns for
one, five, and ten calendar years compare with those of a broad-based securities
market index. Keep in mind that the Fund's past performance does not indicate
how it will perform in the future.

            -----------------------------------------------------------     
                             Annual Total Returns
            -----------------------------------------------------------     







            -----------------------------------------------------------     
 During the period shown in the bar chart, the highest return for a calendar
 quarter was o% (quarter ending__________________) and the lowest return for 
 a quarter was -o% (quarter ending___________).

                                       1
<PAGE>

2
 
      --------------------------------------------------------------------------
         Average Annual Total Returns for Years Ended December 31, 1998
      --------------------------------------------------------------------------
                                               1 Year     5 Years     10 Years
      --------------------------------------------------------------------------

      Vanguard Convertible Securities Fund     .%         .%           .%
      CS First Boston Convertibles Index       .          .            .
      [Lipper Convertible Fund Average         .          .            .]
      --------------------------------------------------------------------------

PLAIN TALK ABOUT

  The Costs of Investing

Costs are an important consideration in choosing a mutual fund. That's because
you, as a shareholder, pay the costs of operating a fund, plus any transaction
costs associated with the fund's buying and selling of securities. These costs
can erode a substantial portion of the gross income or capital appreciation a
fund achieves. Even seemingly small differences in expenses can, over time, have
a dramatic effect on a fund's performance.

PLAIN TALK ABOUT

     Fund Expenses 

All mutual funds have operating expenses. These expenses, which are deducted
from a fund's gross income, are expressed as a percentage of the net assets of
the fund. Vanguard Convertible Securities Fund's expense ratio in fiscal year
1998 was .%, or $. per $1,000 of average net assets. The average convertible
securities mutual fund had expenses in 1998 of .%, or $. per $1,000 of average
net assets, according to Lipper, Inc., which reports on the mutual fund
industry.

FEES AND EXPENSES
The following table describes the fees and expenses you would pay if you buy and
hold shares of the Fund. The expenses shown under Annual Fund Operating Expenses
are based upon those incurred in the fiscal year ended November 30, 1998.

Shareholder  Fees  (fees paid directly from your investment)
Sales Charge (Load) Imposed on Purchases:                      None
Sales Charge (Load) Imposed on Reinvested Dividends:           None
Redemption Fees:                                               None
Exchange Fees:                                                 None

Annual Fund Operating Expenses (expenses deducted from the Fund's assets)
Management Expenses:                                             .%
12b-1 Distribution Fees:                                       None
Other Expenses:                                                  .%
  Total Annual Operating Expenses:                               .%

   The following example is intended to help you compare the cost of investing
in the Fund with the cost of investing in other mutual funds. It illustrates the
hypothetical expenses that you would incur over various periods if you invest
$10,000 in the Fund. This example assumes that the Fund provides a return of 5%
a year, and that operating expenses remain the same. The results apply whether
or not you redeem your investment at the end of each period.

   ---------------------------------------------------------------
      1 Year           3 Years          5 Years          10 Years
   ---------------------------------------------------------------
         $.               $.               $.                $.
   ---------------------------------------------------------------

 This example should not be considered to represent actual expenses or
performance from the past or for the future. Actual future expenses may be
higher or lower than those shown.

<PAGE>
 
                                                                               3
<TABLE> 
<CAPTION>
 
Additional Information
<S>                                                         <C> 
Dividends and Capital Gains                                 Newspaper Abbreviation
Dividends are paid quarterly in March, June, September,     Convrt
and December; capital gains, if any, are paid in December   
                                                            Vanguard Fund Number 
Investment Adviser                                          082
Oaktree Capital Management, LLC, Los Angeles, Calif.,       
since 1996                                                  Cusip Number
                                                            922023106    
Inception Date                                              
June 17, 1986                                               Ticker Symbol
                                                            VCVSX         
Net Assets as of November 30, 1998
$ . million
</TABLE> 
- --------------------------------------------------------------------------------
A Word About Risk

This prospectus describes the risks you would face as an investor in Vanguard
Convertible Securities Fund. It is important to keep in mind one of the main
axioms of investing: The higher the risk of losing money, the higher the
potential reward. The reverse, also, is generally true: The lower the risk, the
lower the potential reward. As you consider an investment in Vanguard
Convertible Securities Fund, you should also take into account your personal
tolerance for the daily fluctuations of the stock market.
  Look for this [GRAPHIC OF FLAG APPEARS HERE] symbol throughout the prospectus.
It is used to mark detailed information about each type of risk that you would
confront as a shareholder of the Fund.
- --------------------------------------------------------------------------------


Who Should Invest

The Fund may be a suitable investment for you if:
 .  You are seeking higher current income than is normally available from common
   stocks, and greater potential for long-term growth of capital than is
   normally available from corporate bonds.
 .  You wish to add a convertible securities fund to your existing holdings,
   which could include other stock, bond, money market, and tax-exempt
   investments.
 .  You are willing to tolerate sharp, sometimes sudden fluctuations in the value
   of your investment. In the past, price fluctuations for convertible
   securities have been wider than those for bonds but not as wide as those for
   stocks.

                               PLAIN TALK ABOUT
                            Costs and Market-Timing

    Some investors try to profit from market-timing--switching money into
    investments when they expect prices to rise, and taking money out when they
    expect the market to fall. As money is shifted in and out, a fund incurs
    expenses for buying and selling securities. These costs are borne by all
    fund shareholders, including the long-term investors who do not generate the
    costs. Therefore, the Fund discourages short-term trading by, among other
    things, limiting the number of exchanges it permits.

  The Vanguard funds do not permit market-timing. Do not invest in this Fund if
you are a market-timer.

<PAGE>
 
   The Fund has adopted the following policies, among others, to discourage
   short-term trading: 
 .  The Fund reserves the right to reject any purchase request--including
   exchanges from other Vanguard funds--that it regards as disruptive to the
   efficient management of the Fund. This could be because of the timing of the
   investment or because of a history of excessive trading by the investor.
 .  There is a limit on the number of times you can exchange into and out of the
   Fund (see "Redeeming Shares" in the Investing with Vanguard" section).
 .  The Fund reserves the right to stop offering shares at any time.

                               PLAIN TALK ABOUT

                            Convertible Securities 

Convertible securities are "hybrid" securities--that is, they have some
characteristics of bonds and some of common stocks. Like a bond (or some
preferred stocks), a convertible security typically pays a fixed rate of
interest (or dividends) and promises to repay principal at a given date in the
future. However, an investor can--at any time--exchange the convertible security
for a specific number of shares of the issuing company's common stock, at a
"conversion price" specified at the time the convertible security is issued.
Accordingly, the value of the convertible security increases (or decreases) as
the price of the underlying common stock increases (or decreases). Convertible
securities typically pay income yields that are higher than the dividend yield
of the issuer's common stock, but lower than the yield of the issuer's debt
securities.

Primary Investment Strategies

This section explains the strategies that the investment adviser uses in pursuit
of the Fund's objective--current income along with long-term growth of capital.
It also explains how the adviser implements these strategies. In addition, this
section discusses several important risks--interest rate risk, stock market
risk, credit risk, and manager risk--faced by investors in the Fund. The Fund's
Board of Trustees oversees the management of the Fund, and may change the
investment strategies in the interest of shareholders.

Market Exposure
Under normal circumstances, the Fund will invest at least 80% of its assets in
convertible securities. These securities include corporate bonds and preferred
stocks that are convertible into common stock, as well as debt securities with
warrants (which permit their owners to buy a specific number of stock shares at
a predetermined price) or common stock attached.
  The remaining 20% of the Fund's assets may be invested in non-convertible
corporate or U.S. government debt securities, common stocks, or money market
instruments.

[GRAPHIC APPEARS    Because convertible securities perform like bonds under
  HERE]             certain conditions, the Fund is subject to interest rate
                    risk, which is the chance that the market value of the
                    Fund's shares will decline over short or even long periods
                    due to rising interest rates.

                               PLAIN TALK ABOUT
                           Bonds and Interest Rates

As a rule, when interest rates rise, bond prices fall. The opposite is also
true: Bond prices go up when interest rates fall. Why do bond prices and
interest rates move in opposite directions? Let's assume that you hold a bond
offering a 5% yield. A year later, interest rates are on the rise and bonds are
offered with a 6% yield. With higher-yielding bonds available, you would have
trouble selling your 5% bond for the price you paid--you would have to lower
your asking price. On the other hand, if interest rates were falling and 4%
bonds were being offered, you would be able to sell your 5% bond for more than
you paid.

                                       4
<PAGE>
 
  When a convertible security's predetermined conversion price is much higher
than the price of the issuing company's common stock, the convertible security
takes on the characteristics of a bond. At such times, the price of the security
will move in the opposite direction of interest rates.
  In the past, bond investors have seen the value of their investment rise and
fall--sometimes significantly--with changes in interest rates. Between December
1976 and September 1981, for instance, rising interest rates caused long-term
bond prices to fall by almost 48%.
  To illustrate the volatility of bond prices, the following table shows the
effect of both a 1% and a 2% change (both up and down) in interest rates on
three bonds with a face value of $1,000; each has a different maturity.
          
    ----------------------------------------------------------------------------
                  How Interest Rate Changes Affect the
                     Value of a $1,000 Investment(*)
    ----------------------------------------------------------------------------
                               After a 1%   After a 1%   After a 2%   After a 2%
    Type of Bond (Maturity)     Increase     Decrease     Increase     Decrease
    ----------------------------------------------------------------------------
    Short-Term (2.5 years)
    Intermediate-Term (10 years)
    Long-Term (20 years)
    ----------------------------------------------------------------------------
    (*)Assumes a 7% yield.
    ----------------------------------------------------------------------------

  These figures are for illustration only; you should not regard them as an
indication of future returns from the bond market as a whole or the Fund in
particular.

[GRAPHIC APPEARS HERE] Because prices of the Fund's convertible holdings may
      fluctuate in response to price changes in the underlying common stocks,
      the Fund is subject to stock market risk, which is the chance that stock
      prices overall will decline over short or even long periods. Stock markets
      tend to move in cycles, with periods of rising prices and periods of
      falling prices.

  When a convertible security's predetermined conversion price is about the same
as the price of the issuing company's common stock, the convertible security
tends to behave like a common stock. In such a case, the security's price may
exhibit the volatility that is characteristic of common stocks.
  To illustrate the volatility of stock prices, the following table shows the
best, worst, and average total returns for the U.S. stock market over various
periods as measured by the Standard & Poor's 500 Composite Stock Price Index, a
widely used barometer of market activity. (Total returns consist of dividend
income plus change in market price.) Note that the returns shown do not include
the costs of buying and selling stocks or other expenses that a real-world
investment portfolio would incur. Note, also, that the gap between best and
worst tends to narrow over the long term.

     ---------------------------------------------------------------
              U.S. Stock Market Returns (1926-1998)
     ---------------------------------------------------------------
                  1 Year      5 Years      10 Years        20 Years
     ---------------------------------------------------------------
     Best           .            .             .              .
     Worst          .            .             .              .
     Average        .            .             .              .
     ---------------------------------------------------------------

  The table covers all of the 1-, 5-, 10-, and 20-year periods from 1926 through
1998. You can see, for example, that while the average return on stocks for all
of the 5-year periods was o%, returns for individual 5-year periods ranged from
a -12.5% average (from 1928 through 1932) to 23.9% (from 1950 through 1954).
These average returns reflect past performance on common stocks; you should not
regard them as an indication of future returns from either the stock market as a
whole or this Fund in particular.
<PAGE>
 
6

  Finally, because Vanguard Convertible Securities Fund's holdings are not
identical to the S&P 500 Index or any other market index, the performance of the
Fund will not mirror the returns of any particular index.

Security Selection
Oaktree Capital Management, LLC ("Oaktree"), adviser to the Fund, generally
selects convertible securities that offer attractive yields and were issued by
companies with above-average growth potential. In general, each security
selected for the Fund will, in Oaktree's opinion, be priced at a reasonable
premium relative to the price at which it can be converted into common stock.

[GRAPHIC APPEARS HERE] The Fund is subject to credit risk, which is the chance
      that a bond issuer will fail to repay interest and principal in a timely
      manner.

  Companies that issue convertible securities often do not have high credit
ratings. In addition, the credit rating of a company's convertible securities is
typically lower than the rating of the company's conventional debt securities,
since convertibles are normally considered "junior " securities--that is, the
company usually must pay interest on its conventional debt before it can make
payments on its convertible securities.
  The Fund invests primarily in convertible securities that are rated B, Ba, or
Baa by Moody's Investors Service or B, BB, or BBB by Standard and Poor's
Corporation. Reflecting the universe of convertible securities, most of the
Fund's holdings that are rated are below investment grade. The Fund may also
invest in nonrated securities that, in the opinion of the adviser, are
equivalent in quality to a B rating or better. Therefore, credit risk is greater
for the Fund than for funds that invest in higher-grade bonds.
  The Fund is generally managed without regard to tax ramifications.

[GRAPHIC APPEARS HERE] The Fund is subject to manager risk, which is the
      possibility that the adviser may do a poor job of selecting stocks.

                               PLAIN TALK ABOUT
                                 Turnover Rate

Before investing in a mutual fund, you should review its turnover rate. This
gives an indication of how transaction costs could affect the fund's future
returns. In general, the greater the volume of buying and selling by the fund,
the greater the impact that brokerage commissions and other transaction costs
will have on its return. Also, funds with high turnover rates may be more likely
to generate capital gains that must be distributed to shareholders as income
subject to taxes. The average turnover rate for all convertible securities funds
is approximately X%, according to Morningstar, Inc.

Turnover Rate
Although the Fund generally seeks to invest for the long term, it retains the
right to sell securities regardless of how long the securities have been held.
The Fund's average turnover rate for the past five years has been about o%. (A
turnover rate of 100% would occur, for example, if the Fund sold and replaced
securities valued at 100% of its net assets within a one-year period.)
  Note: Because the Fund changed its investment adviser in
November 1996, the turnover rate for 1997 exceeded 100%.

Other Investment Policies and Risks
Besides investing in convertible securities, the Fund may make certain other
kinds of investments to achieve its objective.
  Although the Fund typically does not make significant investments in
securities of companies based outside the United States, the Fund reserves the
right to invest up to 20% of its assets in foreign securities. These securities
may be traded in U.S. or foreign markets. To the extent that it owns foreign
stocks, the Fund is subject to (1) country risk, which is the possibility that
political events (such as a war), financial problems (such as government
default), or natural disasters (such as an earthquake) will weaken a country's
economy and cause investments in that country
<PAGE>
 
                                                                               7

to lose money, and (2) currency risk, which is the possibility that Americans
investing abroad could lose money because of a rise in the value of the U.S.
dollar versus foreign currencies.
  The Fund may also invest, to a limited extent, in stock futures and options
contracts, which are traditional types of derivatives. Losses (or gains)
involving futures can sometimes be substantial--in part because a relatively
small price movement in a futures contract may result in an immediate and
substantial loss (or gain) for a fund. This Fund will not use futures for
speculative purposes or as leveraged investments that magnify the gains or
losses of an investment. The value of all futures and options contracts in which
the Fund acquires an interest cannot exceed 20% of total assets.
  The reasons for which the Fund will invest in futures and options are: 
 . To keep cash on hand to meet shareholder redemptions or other needs
  while simulating full investment in stocks.
 . To reduce the Fund's transaction costs or add value when these instruments
  are favorably priced.
  The Fund may, from time to time, take temporary defensive measures-- such as
holding cash reserves without limit--that are inconsistent with the Fund's
primary investment strategies, in response to adverse market, economic,
political, or other conditions. In taking such measures, the Fund may not
achieve its investment objective.

The Fund and Vanguard
The Fund is a member of The Vanguard Group, a family of more than 35 investment
companies with more than 100 distinct investment portfolios holding assets worth
more than $420 billion. All of the Vanguard funds share in the expenses
associated with business operations, such as personnel, office space, equipment,
and advertising.
  Vanguard also provides marketing services to the funds. Although shareholders
do not pay sales commissions or 12b-1 distribution fees, each fund pays its
allocated share of The Vanguard Group's marketing costs.

                           PLAIN TALK ABOUT

                     Vanguard's Unique Corporate Structure

    The Vanguard Group is truly a mutual mutual fund company. It is owned
    jointly by the funds it oversees and thus indirectly by the shareholders in
    those funds. Most other mutual funds are operated by for-profit management
    companies that may be owned by one person, by a group of individuals, or by
    investors who own the management company's stock. By contrast, Vanguard
    provides its services on an "at-cost" basis, and the funds' expense ratios
    reflect only these costs. No separate management company reaps profits or
    absorbs losses from operating the funds.

                               PLAIN TALK ABOUT

                                  Derivatives

A derivative is a financial contract whose value is based on (or "derived" from)
a traditional security (such as a stock or a bond), an asset (such as a
commodity like gold), or a market index (such as the S&P 500 Index). Futures and
options are derivatives that have been trading on regulated exchanges for more
than two decades. These "traditional" derivatives are standardized contracts
that can easily be bought and sold, and whose market values are determined and
published daily. It is these characteristics that differentiate futures and
options from the relatively new types of derivatives. If used for speculation or
as leveraged investments, derivatives can carry considerable risks.
<PAGE>
 
8

                               PLAIN TALK ABOUT

                              The Fund's Adviser

   Oaktree Capital Management, LLC, is an investment advisory firm founded in
   1995. Oaktree focuses on certain specialized investment areas, including
   convertible securities. As of November 30, 1998, Oaktree managed more then $o
   billion in assets.
     The manager responsible for overseeing the implementation of Oaktree's
   strategy for Vanguard Convertible Securities Fund is:
     Larry W. Keele, Principal and Founder of Oaktree; has worked in investment
   management since 1981; has managed portfolio investments since 19__; B.A.,
   Tennessee Tech University; M.B.A., University of South Carolina.

Investment Adviser

The Fund employs Oaktree Capital Management, LLC, 333 South Grand Avenue, 28th
Floor, Los Angeles, CA, 90071 as its investment adviser. Oaktree manages the
Fund subject to the control of the Trustees and officers of the Fund.
  Oaktree's advisory fee is paid quarterly. This fee is based on certain annual
percentage rates applied to the Fund's average month-end assets for each
quarter.
  For the year ended November 30, 1998, the net fee paid to Oaktree was $ o
million, after a [increase/decrease] of $o based on performance. This fee
represented an effective annual rate of o% of the Fund's average net assets.
  The Fund has authorized Oaktree to choose brokers or dealers to handle the
purchase and sale of securities for the Fund, and to get the best available
price and most favorable execution from these brokers with respect to all
transactions.
  In the interest of obtaining better execution of a transaction, Oaktree may
choose brokers who charge higher commissions. If more than one broker can obtain
the best available price and favorable execution of a transaction, then Oaktree
is authorized to choose a broker who, in addition to executing the transaction,
will provide research services to Oaktree or the Fund. Also, the Fund may direct
Oaktree to use a particular broker for certain transactions in exchange for
commission rebates or research services provided to the Fund.
  The Board of Trustees may, without prior approval from shareholders, change
the terms of the advisory agreement or hire a new investment adviser, either as
a replacement for Oaktree or as an additional adviser. However, any such change
will be communicated to shareholders in writing.

Year 2000 Challenge

The common practice in computer programming of using just two digits to identify
a year has resulted in the Year 2000 challenge throughout the information
technology industry. If unchanged, many computer applications and systems could
misinterpret dates occurring after December 31, 1999, leading to errors or
failure. Such failure could adversely affect a fund's operations, including
pricing, securities trading, and the servicing of shareholder accounts.
  The Vanguard Group is dedicated to providing uninterrupted, high-quality
performance from our computer systems before, during, and after 2000. In July
1998, we completed the renovation and initial testing of our internal systems.
Vanguard is diligently working with external partners, suppliers, and vendors,
including fund managers and other service providers, to assure that the systems
with which we interact remain operational at all times.
  In addition to taking every reasonable step to secure our internal systems
and external relationships, Vanguard is further developing contingency plans
intended to assure that unexpected systems failures will not adversely affect
the Fund's operations. Vanguard intends to monitor these processes through the
rollover of 1999 into 2000 and to quickly implement alternate solutions if
necessary.
  However, despite Vanguard's efforts and contingency plans, noncompliant
computer systems could have a material adverse effect on the Fund's business,
operations, or financial condition. Additionally, the Fund's performance could
be hurt if a computer-system failure at a company or governmental unit affects
the price of securities the Fund owns.
<PAGE>
 
                                                                               9

                               PLAIN TALK ABOUT

                                 Distributions

As a shareholder, you are entitled to your share of the fund's income from
interest and dividends, and gains from the sale of investments. You receive such
earnings as either an income dividend or a capital gains distribution. Income
dividends come from both the dividends that the fund earns from its holdings and
the interest it receives from its money market and bond investments. Capital
gains are realized whenever the fund sells securities for higher prices than it
paid for them. The capital gains are either short-term or long-term depending on
whether the fund held the securities for less than or more than one year.

Dividends, Capital Gains, and Taxes

The Fund distributes to shareholders virtually all of its net income (interest
and dividends less expenses), as well as any capital gains realized from the
sale of its holdings. Income distributions generally occur in March, June,
September, and December; capital gains distributions generally occur in
December.
  Dividend and capital gains distributions of Fund shares that are held as an
investment option in an employer-sponsored retirement or savings plan will be
reinvested in additional Fund shares and accumulate on a tax-deferred basis. You
will not owe taxes on these distributions until you begin withdrawals. You
should consult your plan administrator, your plan's Summary Plan Document, or
your own tax adviser about the tax consequences of an investment in the Fund and
of any plan withdrawals.

Share Price

The Fund's share price, called its net asset value, or NAV, is calculated each
business day after the close of trading on the New York Stock Exchange (the NAV
is not calculated on holidays or other days the Exchange is closed). Net asset
value per share is computed by adding up the total value of the Fund's
investments and other assets, subtracting any of its liabilities (debts), and
then dividing by the number of Fund shares outstanding:

                                             Total Assets  -  Liabilities
                Net Asset Value  =  ---------------------------------------
                                           Number  of  Shares  Outstanding

  Knowing the daily net asset value is useful to you as a shareholder because it
indicates the current value of your investment. The Fund's NAV, multiplied by
the number of shares you own, gives you the dollar amount you would have
received had you sold all of your shares back to the Fund that day.
  A Note on Pricing: The Fund's investments will be priced at their market value
when market quotations are readily available. When these quotations are not
readily available, investments will be priced at their fair value, calculated
according to procedures adopted by the Fund's Board of Trustees.
   The Fund's share price can be found daily in the mutual fund listings of most
major newspapers under the heading "Vanguard Funds." Different newspapers use
different abbreviations of the Fund's name, but the most common is Convrt.
<PAGE>
 
10

                               PLAIN TALK ABOUT

                           How to Read the Financial
                               Highlights Table

    The Fund began fiscal 1998 with a net asset value (price) of $o per share.
    During the year, the Fund earned $ o per share from investment income
    (interest and dividends) and $ o per share from investments that had
    appreciated in value or that were sold for higher prices than the Fund paid
    for them.
      Shareholders received $X per share in the form of dividend and capital
    gains distributions. A portion of each year's distributions may come from
    the prior year's income or capital gains.
      The earnings ($ o per share) minus the distributions ($o per share)
    resulted in a share price of $ o at the end of the year. This was an
    increase of $ o per share (from $o at the beginning of the year to $ o at
    the end of the year). For a shareholder who reinvested the distributions in
    the purchase of more shares, the total return from the Fund was o% for the
    year.
      As of November 30, 1998, the Fund had $ o billion in net assets. For the
    year, its expense ratio was o% ($o per $1,000 of net assets); and its net
    investment income amounted to o% of its average net assets. It sold and
    replaced securities valued at o % of its net assets.

Financial Highlights

The following financial highlights table is intended to help you understand the
Fund's financial performance for the past five years, and certain information
reflects financial results for a single Fund share. The total returns in the
table represent the rate that an investor would have earned or lost each year on
an investment in the Fund (assuming reinvestment of all dividends and
distributions). This information has been derived from the financial statements
audited by PricewaterhouseCoopers LLP, independent accountants, whose
report--along with the Fund's financial statements--is included in the Fund's
most recent annual report to shareholders. You may have the annual report sent
to you without charge by contacting Vanguard.
<TABLE> 
<CAPTION> 
- --------------------------------------------------------------------------------------------------------------------
                                                               Vanguard Convertible Securities Fund
                                                                     Year Ended November 30,
                                                --------------------------------------------------------------------  
                                                  1998       1997           1996             1995             1994
- --------------------------------------------------------------------------------------------------------------------
<S>                                              <C>       <C>             <C>             <C>             <C> 
Net Asset Value, Beginning of Year               $  --     $ 13.07         $ 12.03         $ 10.94         $ 12.89
Investment Operations
  Net Investment Income                             --         .53             .43             .52             .53
  Net Realized and Unrealized Gain (Loss)
    on Investments                                  --        1.17            1.29            1.26           (1.04)
                                                --------------------------------------------------------------------  
    Total from Investment Operations                --        1.70            1.72            1.78            (.51)
                                                --------------------------------------------------------------------  
Distributions
  Dividends from Net Investment Income              --        (.47)           (.54)           (.51)           (.53)
  Distributions from Realized Capital Gains                  (1.29)           (.14)           (.18)           (.91)
                                                --------------------------------------------------------------------  
    Total Distributions                                      (1.76)           (.68)           (.69)          (1.44)
- --------------------------------------------------------------------------------------------------------------------
Net Asset Value, End of Year                     $  --     $ 13.01         $ 13.07         $ 12.03         $ 10.94
====================================================================================================================

Total Return                                        --%      14.81%          14.88%          17.10%         -4.35%
====================================================================================================================

Ratios/Supplemental Data
  Net Assets, End of Year (Millions)             $  --     $   189         $   170         $   172         $   175
  Ratio of Total Expenses to
    Average Net Assets                              --%       0.67%           0.69%           0.75%           0.73%
  Ratio of Net Investment Income to
    Average Net Assets                              --%       4.29%           3.43%           4.63%           4.68%
  Portfolio Turnover Rate                           --%        182%             97%             46%             52%
====================================================================================================================
</TABLE> 
  From time to time, the Vanguard funds advertise yield and total return
figures. Yield is a measure of past dividend income. Total return includes both
past dividend income (assuming that it has been reinvested) plus realized and
unrealized capital appreciation (or depreciation). Neither yield nor total
return should be used to predict the future performance of a fund.

"Standard & Poor's(R)," "S&P(R)," "S&P 500(R)," "Standard & Poor's 500," and
"500" are trademarks of The McGraw-Hill Companies, Inc.
<PAGE>
 
                                                                              11

Investing with Vanguard

The Fund is an investment option in your retirement or savings plan. Your plan
administrator or your employee benefits office can provide you with detailed
information on how to participate in your plan and how to elect the Fund as an
investment option.

 .    If you have any questions about the Fund or Vanguard, including the Fund's
     investment objective, strategies, or risks, contact Vanguard's Participant
     Services Center, toll-free, at 1-800-523-1188.

 .    If you have questions about your account, contact your plan administrator
     or the organization that provides record-keeping services for your plan.

Investment Options and Allocations
Your plan's specific provisions may allow you to change your investment
selections, the amount of your contributions, or how your contributions are
allocated among the investment choices available to you. Contact your plan
administrator or employee benefits office for more details.

Transactions
Contributions, exchanges, or redemptions of the Fund's shares are processed as
soon as they have been received by Vanguard in good order. Good order means that
your request includes complete information on your contribution, exchange, or
redemption, and that Vanguard has received the appropriate assets.

Exchanges
The exchange privilege (your ability to redeem shares from one fund to purchase
shares of another fund) may be available to you through your plan. Although we
make every effort to maintain the exchange privilege, Vanguard reserves the
right to revise or terminate this privilege, limit the amount of an exchange or
reject any exchange, at any time, without notice. Because excessive exchanges
can potentially disrupt the management of the Fund and increase its transaction
costs, Vanguard limits exchange activity to no more than four substantive "round
trips" through the Fund (at least 90 days apart) during any 12-month period. A
"round trip" is a redemption from the Fund followed by a purchase back into the
Fund. "Substantive" means a dollar amount that Vanguard determines, in its sole
discretion, could adversely affect the management of the Fund.
  Before making an exchange to or from another fund available in your plan,
consider the following: 

 .    Certain investment options, particularly funds made up of company stock or
     investment contracts, may be subject to unique restrictions.
 .    Make sure to read that fund's prospectus. Contact Participant Services,
     toll-free, at 1-800-523-1188 for a copy.
 .    Vanguard can accept exchanges only as permitted by your plan. Contact your
     plan administrator for details on the exchange policies that apply to your
     plan.

Accessing Fund Information by Computer
- --------------------------------------------------------------------------------
Vanguard on the World Wide Web  www.vanguard.com
Use your personal computer to visit Vanguard's education-oriented website, which
provides timely news and information about Vanguard funds and services; an
online "university" that offers a variety of mutual fund classes; and
easy-to-use, interactive tools to help you create your own investment and
retirement strategies.
- --------------------------------------------------------------------------------
<PAGE>
 
(This page intentionally left blank.)
<PAGE>
 
Glossary of Investment Terms

Bond
A debt security (IOU) issued by a corporation, government, or government agency
in exchange for the money you lend it. In most instances, the issuer agrees to
pay back the loan by a specific date and make regular interest payments until
that date.

Capital Gains Distribution
Payment to mutual fund shareholders of gains realized on securities that the
fund has sold at a profit, minus any realized losses.

Cash Reserves
Cash deposits, short-term bank deposits, and money market instruments which
include U.S. Treasury bills, bank certificates of deposit (CDs), repurchase
agreements, commercial paper, and banker's acceptances.

Common Stock
A security representing ownership rights in a corporation. A stockholder is
entitled to share in the company's profits, some of which may be paid out as
dividends.

Convertible Securities
Hybrid securities, combining the investment characteristics of both bonds and
common stocks. Like a bond (or preferred stock), a convertible security pays a
fixed income rate (dividend), but may be converted into common stock at a
specific price or conversion rate.

Credit Quality
A measure of a bond issuer's ability to repay interest and principal in a timely
manner.

Dividend Income
Payment to shareholders of income from interest or dividends generated by a
fund's investments.

Expense Ratio
The percentage of a fund's average net assets used to pay its expenses. The
expense ratio includes management fees, administrative fees, and any
12b-1 distribution fees.

Face Value
The amount to be paid at maturity of a bond; also known as the par value or
principal.

Fixed-Income Securities
Investments, such as bonds, that have a fixed payment schedule. While the level
of income offered by these securities is predetermined, their prices may
fluctuate.

Investment Adviser
An organization that makes the day-to-day decisions regarding a fund's
investments.

Investment Grade
A bond whose credit quality is considered by independent bond-rating agencies to
be sufficient to ensure timely payment of principal and interest under current
economic circumstances.

Maturity
The date when a bond issuer agrees to repay the bond's principal, or face value,
to the bond's buyer.

Net Asset Value (NAV)
The market value of a mutual fund's total assets, minus liabilities, divided by
the number of shares outstanding. The value of a single share is called its
share value or share price.

Principal
The amount of your own money you put into an investment.

Securities
Stocks, bonds, money market instruments, and other investment vehicles.

Total Return
A percentage change, over a specified time period, in a mutual fund's net asset
value, with the ending net asset value adjusted to account for the reinvestment
of all distributions of dividends and capital gains.

Volatility
The fluctuations in value of a mutual fund or other security. The greater a
fund's volatility, the wider the fluctuations between its high and low prices.

Yield
Income (interest or dividends) earned by an investment, expressed as a
percentage of the investment's price.

                                       13
<PAGE>
 
                                           [THE VANGUARDGROUP LOGO APPEARS HERE]

                                                     Institutional Division
                                                     Post Office Box 2900
                                                     Valley Forge, PA 19482-2900



For More Information 
If you'd like more information about Vanguard Convertible
Securities Fund, the following documents are available free upon request:

Annual/Semiannual Report to Shareholders 
Additional information about the Fund's investments is available in the Fund's
annual and semiannual reports to shareholders. In these reports, you will find a
discussion of the market conditions and investment strategies that significantly
affected the Fund's performance during the most recent fiscal year.

Statement of Additional Information (SAI) 
The SAI provides more detailed information about the Fund.

The current annual and semiannual reports and the SAI are incorporated by
reference into (and are thus legally a part of) this prospectus.

To receive a free copy of the latest annual or semiannual report or the SAI, or
to request additional information about the Fund or other Vanguard funds, please
contact us as follows:

The Vanguard Group
Participant Services Center
P.O. Box 2900
Valley Forge, PA 19482-2900

Telephone:
1-800-523-1188

Text Telephone:
1-800-523-8004

World Wide Web:
www.vanguard.com

E-mail:
[email protected]

Information provided by the Securities and Exchange Commission (SEC) 
You can review and copy information about the Fund (including the SAI) at the
SEC's Public Reference Room in Washington, D.C. To find out more about this
public service, call the SEC at 1-800-SEC-0330. Reports and other information
about the Fund are also available on the SEC's website (www.sec.gov), or you can
receive copies of this information, for a fee, by writing the Public Reference
Section, Securities and Exchange Commission, Washington, DC 20549-6009.

Fund's Investment Company Act
file number: 811-4627

(C) 1999 Vanguard Marketing
Corporation, Distributor.
All rights reserved.

I073N-03/26/1999

                                       14
<PAGE>
 
                                   Vanguard
                                   Convertible Securities
                                   Fund

                                   Participant Prospectus
                                   March 26, 1999






This prospectus contains 
financial data for the Fund                  [ARTWORK APPEARS HERE]
through the fiscal year
ended November 30, 1998.











                                              [VANGUARD GROUP LOGO APPEARS HERE]




                                       15
<PAGE>
 
Vanguard Convertible Securities Fund

Participant Prospectus
March 26, 1999
A Convertible Securities Mutual Fund

    Contents

1 Fund Profile                    8 Year 2000 Challenge
                                 
3 Additional Information          9 Dividends, Capital Gains, and Taxes
                                 
3 A Word About Risk               9 Share Price
                                 
3 Who Should Invest              10 Financial Highlights
                                 
4 Primary Investment Strategies  11 Investing with Vanguard
                                 
7 The Fund and Vanguard          11 Accessing  Fund  Information  by  Computer
                                 
8 Investment Adviser             Glossary (inside back cover)
                                 

- -------------------------------------------------------------------------------
Why Reading This Prospectus Is Important

This prospectus explains the objective, risks, and strategies of Vanguard
Convertible Securities Fund. To highlight terms and concepts important to mutual
fund investors, we have provided "Plain Talk(R)" explanations along the way.
Reading the prospectus will help you to decide whether the Fund is the right
investment for you. We suggest that you keep it for future reference.
- ------------------------------------------------------------------------------- 

- ------------------------------------------------------------------------------- 
Important Note

This prospectus is intended for participants in employer-sponsored retirement or
savings plans. Another version--for investors who would like to open a personal
investment account--can be obtained by calling Vanguard at 1-800-662-7447.
- ------------------------------------------------------------------------------- 

Neither the Securities and Exchange Commission nor any state securities
commission has approved or disapproved of these securities or passed upon the
accuracy or adequacy of this prospectus. Any representation to the contrary is a
criminal offense.

                                       16
<PAGE>
 
 
                                    PART B
                      
                   VANGUARD CONVERTIBLE SECURITIES FUND     
                                 
                              (the "Trust")     
 
                      STATEMENT OF ADDITIONAL INFORMATION
                                 
                              March 26, 1999     
   
  This Statement is not a prospectus but should be read in conjunction with
the Fund's current Prospectus dated March 26, 1999. To obtain the Prospectus
and the Annual Report to Shareholders, containing the Fund's Financial State-
ments, which are hereby incorporated by reference, please call:     
 
                        Investor Information Department
                                1-800-662-7447
 
                               TABLE OF CONTENTS
 
<TABLE>   
<CAPTION>
                                                                            Page
                                                                            ----
<S>                                                                         <C>
Description of the Fund....................................................  B-1
Fundamental Investment Limitations.........................................  B-3
Purchase of Shares.........................................................  B-4
Redemption of Shares.......................................................  B-4
Management of the Trust....................................................  B-5
Investment Advisory Services...............................................  B-9
Portfolio Transactions..................................................... B-11
Investment Policies........................................................ B-12
Financial Statements....................................................... B-16
Yield and Total Return..................................................... B-16
Share Price................................................................ B-18
Comparative Indexes........................................................ B-18
Appendix--Description of Securities and Ratings............................ B-22
</TABLE>    
                            
                         DESCRIPTION OF THE FUND     
   
Organization     
   
  The Fund was organized as a Maryland corporation in 1986, and was reorga-
nized as a Delaware business trust in June, 1998. The Fund is registered with
the United States Securities and Exchange Commission under the Investment Com-
pany Act of 1940 (the "1940 Act") as an open-end diversified management in-
vestment company.     
   
  There is no limit on the number of full and fractional shares that the Fund
may issue.     
   
Service Providers     
   
  Custodian. First Union National Bank, PA4943, 530 Walnut Street, Philadel-
phia, Pennsylvania 19106, serves as the Trust's custodian. The custodian is
responsible for maintaining the Trust's assets and keeping all necessary ac-
counts and records.     
   
  Independent Accountants. PricewaterhouseCoopers LLP, 30 South 17th Street,
Philadelphia, Pennsylvania 19103, serves as the Trust's independent accoun-
tants. The accountants audit financial statements for the Trusts and provide
other related services.     
   
  Transfer and Dividend-Paying Agent. The Fund's transfer agent and dividend-
paying agent is The Vanguard Group, Inc., 100 Vanguard Boulevard, Malvern,
Pennsylvania 19355.     
 
                                                                            B-1
<PAGE>
 
   
Characteristics of the Fund's Shares     
   
  Restrictions on Holding or Disposing of Shares. There are no restrictions on
the right of shareholders to retain or dispose of the Fund's shares, other
than the possible future termination of the Fund. The Fund may be terminated
by reorganization into another mutual fund or by liquidation and distribution
of its assets. Unless terminated by reorganization or liquidation, the Fund
will continue indefinitely.     
   
  Shareholder Liability. The Fund is organized under Delaware law, which pro-
vides that shareholders of a business trust are entitled to the same limita-
tions of personal liability as shareholders of a corporation organized under
Delaware law. Effectively, this means that a shareholder of the Fund will not
be personally liable for payment of the Fund's debts except by reason of his
or her own conduct or acts. In addition, a shareholder could incur a financial
loss on account of a Fund obligation only if the Fund itself had no remaining
assets with which to meet such obligation. We believe that the possibility of
such a situation arising is extremely remote.     
   
  Dividend Rights. The Fund's shareholders are entitled to receive any divi-
dends or other distributions declared by the Fund. No shares have priority or
preference over any other shares with respect to dividends or distributions of
the Trust. All dividends and distributions will be paid ratably to all Fund
shareholders according to the number of Fund shares held of record by share-
holders on the record date.     
   
  Voting Rights. Shareholders are entitled to vote on a matter if: (i) a
shareholder vote is required under the 1940 Act; (ii) the matter concerns an
amendment to the Declaration of Trust that would adversely affect to a mate-
rial degree the rights and preferences of the shares of any class or fund; or
(iii) the Trustees determine that it is necessary or desirable to obtain a
shareholder vote. The 1940 Act requires a shareholder vote under various cir-
cumstances, including to elect or remove Trustees upon the written request of
shareholders representing 10% or more of the Fund's net assets, and to change
any fundamental policy of the Fund. Fund shareholders receive one vote for
each dollar of net asset value owned on the record date, and a fractional vote
for each fractional dollar of net asset value owned on the record date. Voting
rights are non-cumulative and cannot be modified without a majority vote of
shareholders.     
   
  Liquidation Rights. If the Fund is liquidated, each shareholder will be en-
titled to receive, based on the number of shares held a pro rata share of the
Fund's assets that remain after satisfaction of all liabilities. Shareholders
may receive cash, securities, or a combination of the two.     
   
  Preemptive Rights. There are no preemptive rights associated with the Fund.
       
  Conversion Rights. There are no conversion rights associated with the Fund.
       
  Redemption Provisions. The Fund's redemption provisions are described in its
current prospectus and elsewhere in this Statement of Additional Information.
       
  Sinking Fund Provisions. The Fund has no sinking fund provisions.     
   
  Calls or Assessment. The Fund's shares are fully paid and non-assessable.
       
Tax Status of the Trust     
   
  "Regulated Investment Company." The Fund qualifies as a "regulated invest-
ment company" under Subchapter M of the Internal Revenue Code. This special
tax status means that the Fund will not be liable for federal tax on income
and capital gains distributed to shareholders. In order to preserve its tax
status, the Fund must comply with certain requirements. If the Fund fails to
meet these requirements in any taxable year, it will be subject to tax on its
taxable income at corporate rates, and all distributions from earnings and
profits, including any distributions of net tax-exempt income and net     
 
B-2
<PAGE>
 
   
long-term capital gains, will be taxable to shareholders as ordinary income.
In addition, the Fund could be required to recognize unrealized gains, pay
substantial taxes and interest, and make substantial distributions before re-
gaining its tax status as a regulated investment company.     
                       
                    FUNDAMENTAL INVESTMENT LIMITATIONS     
   
  The Fund is subject to the following fundamental investment limitations,
which cannot be changed in any material way without the approval of the hold-
ers of a majority of the Fund's shares. For these purposes, a "majority" of
the Fund's shares means shares representing the lesser of: (i) 67% or more of
the Fund's net asset value, so long as shares representing more than 50% of
the Fund's net asset value are present or represented by proxy; or (ii) more
than 50% of the Fund's net asset value.     
   
  Borrowing. The Fund may not borrow money, except for temporary or emergency
purposes in an amount not exceeding 15% of the Fund's net assets. The Fund may
borrow money through banks, reverse repurchase agreements, or Vanguard's
interfund lending program only, and must comply with all applicable regulatory
conditions. The Fund may not make any additional investments if its outstand-
ing borrowings exceed 5% of net assets.     
   
  Commodities and Options. The Fund may not invest in commodities, except that
it may invest in stock futures contracts, options and options on futures con-
tracts. No more than 5% of the Fund's assets may be used as initial margin de-
posit for futures contracts, and no more than 20% of the Fund's assets may be
invested in futures contracts or options at any time.     
   
  Diversification. With respect to 75% of its total assets, the Fund may not:
(i) purchase more than 10% of the outstanding voting securities of any one is-
suer; or (ii) purchase securities of any issuer if, as a result, more than 5%
of the Fund's total assets would be invested in that issuer's securities. This
limitation does not apply to obligations of the United States Government, its
agencies, or instrumentalities.     
   
  Illiquid Securities. The Fund may not acquire any security if, as a result,
more than 15% of its net assets would be invested in securities that are il-
liquid.     
   
  Industry Concentration. The Fund may not invest more than 25% of its total
assets in any one industry.     
   
  Investing for Control. The Fund may not invest in a company for purposes of
controlling its management.     
   
  Investment Companies. The Fund may not invest in any other investment compa-
ny, except through a merger, consolidation or acquisition of assets, or to the
extent permitted by Section 12 of the 1940 Act. Investment companies whose
shares the Fund acquires pursuant to Section 12 must have investment objec-
tives and investment policies consistent with those of the Fund.     
   
  Loans. The Fund may not lend money to any person except (i) by purchasing
bonds or other debt securities (including repurchase agreements) that are pub-
licly distributed or customarily purchased by institutional investors, (ii) by
lending its portfolio securities; and (iii) to another Vanguard fund through
Vanguard's interfund lending program.     
   
  Margin. The Fund may not purchase securities on margin or sell securities
short, except as permitted by the Fund's investment policies relating to com-
modities.     
   
  Oil, gas, minerals. The Fund may not invest in interests in oil, gas or
other mineral exploration or development programs.     
 
                                                                            B-3
<PAGE>
 
   
  Pledging assets. The Fund may not pledge, mortgage or hypothecate more than
15% of its net assets.     
   
  Real Estate. The Fund may not invest directly in real estate, although it
may invest in securities of companies that deal in real estate.     
   
  Senior securities. The Fund may not issue senior securities, except in com-
pliance with the 1940 Act.     
   
  Underwriting. The Fund may not engage in the business of underwriting secu-
rities issued by other persons. The Fund will not be considered an underwriter
when disposing of its investment securities.     
   
  None of these limitations prevents the Fund from participating in The Van-
guard Group ("Vanguard"). As a member of the Group, the Fund may own securi-
ties issued by Vanguard, make loans to Vanguard, and contribute to Vanguard's
costs or other financial requirement. See "Management of the Trust" for more
information.     
   
  Compliance with the investment limitations set forth above is measured at
the time securities are purchased. If a percentage restriction is adhered to
at the time the investment is made, a later change in percentage resulting
from a change in the market value of assets will not constitute a violation of
such restriction.     
 
                              PURCHASE OF SHARES
   
  The Fund reserves the right in its sole discretion (i) to suspend the offer-
ing of its shares, (ii) to reject purchase orders when in the judgment of man-
agement such rejection is in the best interest of the Fund, and (iii) to re-
duce or waive the minimum investment for or any other restrictions on initial
and subsequent investments for certain fiduciary accounts (such as employee
benefit plans) or under circumstances where certain economies can be achieved
in sales of the Fund's shares.     
   
Trading Shares through Charles Schwab     
   
  The Trust has authorized Charles Schwab & Co., Inc. ("Schwab") to accept on
its behalf purchase and redemption orders under certain terms and conditions.
Schwab is also authorized to designate other intermediaries to accept purchase
and redemption orders on the Trust's behalf subject to those terms and condi-
tions. Under this arrangement, the Trust will be deemed to have received a
purchase or redemption order when Schwab or, if applicable, Schwab's autho-
rized designee, accepts the order in accordance with the Trust's instructions.
Customer orders that are properly transmitted to the Trust by Schwab, or if
applicable, Schwab's authorized designee, will be priced as follows:     
   
  Orders received by Schwab before 3 p.m. Eastern time on any business day,
will be sent to Vanguard that day and your share price will be based on the
Trust's net asset value calculated at the close of trading that day. Orders
received by Schwab after 3 p.m. Eastern time, will be sent to Vanguard on the
following business day and your share price will be based on the Trust's net
asset value calculated at the close of trading that day.     
 
                             REDEMPTION OF SHARES
   
  The Trust may suspend redemption privileges or postpone the date of payment
for redeemed shares (i) during any period that the New York Stock Exchange is
closed or trading on the Exchange is restricted, as determined by the Securi-
ties and Exchange Commission; (ii) during any period when an emergency exists,
as defined by the rules of the Commission, as a result of which it is not rea-
sonably practicable for the Fund to dispose of securities owned by it or
fairly determine the value of its assets; and (iii) for such other periods as
the Commission may permit.     
   
  No charge is made by the Fund for redemptions. Shares redeemed by a Fund
shareholder may be worth more or less than what the shareholder paid for them,
depending on the current market value of the securities held by the Fund.     
 
B-4
<PAGE>
 
                            
                         MANAGEMENT OF THE TRUST     
   
Officers and Trustees     
   
  The Officers of the Trust manage its day-to-day operations and are responsi-
ble to the Trust's Board of Trustees. The Trustees set broad policies for the
Trust and choose its Officers. The following is a list of the Trustees and Of-
ficers of the Trust and a statement of their present positions and principal
occupations during the past five years. As a group, the Trust's Trustees and
Officers own less than 1% of the outstanding shares of the Trust. Each Trustee
also serves as a Director of the Vanguard Group, Inc., and as a Trustee of
each of the 36 investment companies administered by Vanguard (35 in the case
of Mr. Malkiel and 28 in the case of Mr. MacLaury). The mailing address of the
Trustees and Officers of the Trust is Post Office Box 876, Valley Forge, PA
19482.     
          
JOHN C. BOGLE, (DOB: 5/8/1929) Senior Chairman and Trustee*     
   
Senior Chairman and Director of The Vanguard Group, Inc., and Trustee of each
of the investment companies in The Vanguard Group; Director of The Mead Corp.
(Paper Products), General Accident Insurance, and Chris-Craft Industries, Inc.
(Broadcasting & Plastics Manufacturer).     
   
JOHN J. BRENNAN, (DOB: 7/29/1954)Chairman, Chief Executive Officer & Trustee *
       
Chairman, Chief Executive Officer and Director of The Vanguard Group, Inc.,
and Trustee of each of the investment companies in The Vanguard Group.     
          
JOANN HEFFERNAN HEISEN, (DOB: 1/25/1950) Trustee     
   
Vice President, Chief Information Officer, and member of the Executive
Committee of Johnson and Johnson (Pharmaceuticals/Consumer Products), Director
of Johnson & Johnson*MERCK Consumer Pharmaceuticals Co., Women First
HealthCare, Inc. (Research and Education Institution), Recording for the Blind
and Dyslexic, The Medical Center at Princeton, and Women's Research and
Education Institute.     
   
BRUCE K. MACLAURY, (DOB: 5/7/1931) Trustee     
   
President Emeritus of The Brookings Institution (Independent Non-Partisan
Research Organization); Director of American Express Bank, Ltd., The St. Paul
Companies, Inc. (Insurance and Financial Services), and National Steel Corp.
       
BURTON G. MALKIEL, (DOB: 8/28/1932) Trustee     
   
Chemical Bank Chairman's Professor of Economics, Princeton University;
Director of Prudential Insurance Co. of America, Banco Bilbao Gestinova, Baker
Fentress & Co. (Investment Management), The Jeffrey Co. (Holding Company), and
Southern New England Telecommunications Co.     
   
ALFRED M. RANKIN, JR., (DOB: 10/8/1941) Trustee     
   
Chairman, President, Chief Executive Officer, and Director of NACCO Industries
(Machinery/Coal/Appliances); Director of The BFGoodrich Co. (Aircraft
Systems/Manufacturing/Chemicals), and The Standard Products Co. (Rubber
Products Company).     
   
JOHN C. SAWHILL, (DOB: 6/12/1936) Trustee     
   
President and Chief Executive Officer of The Nature Conservancy (Non-Profit
Conservation Group); Director of Pacific Gas and Electric Co., Procter &
Gamble Co., and NACCO Industries (Machinery/Coal/Appliances), and Newfield
Exploration Co. (Energy); formerly, Director and Senior Partner of McKinsey &
Co., and President of New York University.     
   
JAMES O. WELCH, JR., (DOB: 5/13/1931) Trustee     
   
Retired Chairman of Nabisco Brands, Inc. (Food Products); retired Vice
Chairman and Director of RJR Nabisco (Food and Tobacco Products); Director of
TECO Energy, Inc., and Kmart Corp.     
   
J. LAWRENCE WILSON, (DOB: 3/2/1936) Trustee     
   
Chairman and Chief Executive Officer of Rohm & Haas Co. (Chemicals); Director
of Cummins Engine Co. (Diesel Engine Company), and The Mead Corp. (Paper
Products); and Trustee of Vanderbilt University.     
   
RAYMOND J. KLAPINSKY, (DOB: 12/7/1938) Secretary*     
   
Managing Director of The Vanguard Group, Inc.; Secretary of The Vanguard
Group, Inc. and of each of the investment companies in The Vanguard Group.
       
THOMAS J. HIGGINS, (DOB: 5/21/1957) Treasurer*     
   
Principal of The Vanguard Group, Inc.; Treasurer of each of the investment
companies in The Vanguard Group.     
   
ROBERT D. SNOWDEN, (DOB: 9/4/1961) Controller*     
   
Principal of The Vanguard Group, Inc.; Controller of each of the investment
companies in The Vanguard Group.     
 
- -------------------------------------------------------------------------------
   
*Officers of the Trust are "interested persons" as defined in the Investment
Company Act of 1940.     
 
                                                                            B-5
<PAGE>
 
   
The Vanguard Group     
   
  Vanguard Convertible Securities Fund is a member of The Vanguard Group of
Investment Companies. Through their jointly-owned subsidiary, The Vanguard
Group, Inc. ("Vanguard"), the Fund and the other Funds in Vanguard obtain at
cost virtually all of their corporate management, administrative and distribu-
tion services. Vanguard also provides investment advisory services on an at-
cost basis to several of the Vanguard Funds.     
   
  Vanguard employs a supporting staff of management and administrative person-
nel needed to provide the requisite services to the Funds and also furnishes
the Funds with necessary office space, furnishings and equipment. Each Fund
pays its share of Vanguard's total expenses, which are allocated among the
Funds under methods approved by the Board of Trustees of each Fund. In addi-
tion, each Fund bears its own direct expenses such as legal, auditing and cus-
todian fees. In order to generate additional revenues and thereby reduce the
Funds' expenses, Vanguard also provides certain administrative services to
other organizations.     
          
  Vanguard adheres to a Code of Ethics established pursuant to Rule 17j-1 un-
der the Investment Company Act of 1940. The Code is designed to prevent unlaw-
ful practices in connection with the purchase or sale of securities by persons
associated with Vanguard. Under Vanguard's Code of Ethics certain Officers and
employees of Vanguard who are considered access persons are permitted to en-
gage in personal securities transactions. However, such transactions are sub-
ject to procedures and guidelines similar to those and in many cases more re-
strictive than, those recommended by a blue ribbon panel of mutual fund indus-
try executives.     
   
  Vanguard was established and operates under an Amended and Restated Funds'
Service Agreement which was approved by the shareholders of each of the
Trusts. The amounts which each of the Trusts have invested in Vanguard are ad-
justed from time to time in order to maintain the proportionate relationship
between each Trust's relative net assets and its contribution to Vanguard's
capital. At November 30, 1998, the Trust had contributed capital of $ .  to
Vanguard, representing  . % of Vanguard's capitalization. The Amended and Re-
stated Funds' Service Agreement provides as follows: (a) each Vanguard Trust
may invest up to 0.40% of its current assets in Vanguard, and (b) there is no
other limitation on the dollar amount each Vanguard Trust may contribute to
Vanguard's capitalization.     
 
Management
   
  Corporate management and administrative services include: (1) executive
staff; (2) accounting and financial; (3) legal and regulatory; (4) shareholder
account maintenance; (5) monitoring and control of custodian relationships;
(6) shareholder reporting; and (7) review and evaluation of advisory and other
services provided to the Trusts by third parties. During the fiscal year ended
November 30, 1998, the Trust's share of actual net costs of operation relating
to management and administrative services provided by Vanguard totaled approx-
imately $ . .     
 
Distribution
          
  Vanguard Marketing Corporation, a wholly-owned subsidiary of The Vanguard
Group, Inc., provides all distribution and marketing activities for the Trusts
in the Group. The principal distribution expenses are for advertising, promo-
tional materials and marketing personnel. Distribution services may also in-
clude organizing and offering to the public, from time to time, one or more
new investment companies which will become members of Vanguard. The Trustees
and Officers of Vanguard determine the amount to be spent annually on distri-
bution activities, the manner and amount to be spent on each Trust, and
whether to organize new investment companies.     
   
  One-half of the distribution expenses of a marketing and promotional nature
is allocated among the Trusts based upon relative net assets. The remaining
one-half of those expenses is allocated among the     
 
B-6
<PAGE>
 
   
Trusts based upon each Trust's sales for the preceding 24 months relative to
the total sales of all the Trusts as a Group; provided, however, that no
Trust's aggregate quarterly rate of contribution for distribution expenses of
a marketing and promotional nature shall exceed 125% of average distribution
expense rate for Vanguard, and that no Trust shall incur annual distribution
expenses in excess of .02 of 1% of its average month-end net assets. During
the fiscal year ended November 30, 1998, the Trust incurred approximately $ .
of Vanguard's distribution and marketing expenses, or approximately  . % of 1%
of its average month-end net assets.     
 
Investment Advisory Services
   
  Vanguard provides investment advisory services to several Vanguard Trusts.
These services are provided on an at-cost basis from a money management staff
employed directly by Vanguard. The compensation and other expenses of this
staff are paid by the Trusts utilizing these services.     
 
                                                                            B-7
<PAGE>
 
          
Trustee Compensation     
   
  The individuals in the following table serve as Trustees of all Vanguard
Trusts, and each Trust pays a proportionate share of the Trustees' compensa-
tion. The Trusts employ their officers on a shared basis, as well. However,
officers are compensated by The Vanguard Group, Inc., not the Trusts.     
   
  Independent Trustees. The Trusts compensate their independent Trustees--that
is, the ones who are not also officers of the Trust--in three ways:     
   
 . The independent Trustees receive an annual fee for their service to the
  Trusts, which is subject to reduction based on absences from scheduled Board
  meetings.     
   
 . The independent Trustees are reimbursed for the travel and other expenses
  that they incur attending Board meetings.     
   
 . Upon retirement, the independent Trustees receive an aggregate annual fee of
  $1,000 for each year served on the Board, up to fifteen years of service.
  This annual fee is paid for ten years following retirement, or until each
  Trustee's death.     
   
  "Interested" Trustees. The Trustee's interested Trustees--Messrs. Bogle and
Brennan--receive no compensation for their service in that capacity. However,
they are paid in their role as officers of The Vanguard Group, Inc.     
   
  Compensation Table. The following table provides compensation details for
each of the Trustees. For the Trust, we list the amounts paid as compensation
and accrued as retirement benefits by the Trust for each Trustee. In addition,
the table shows the total amount of benefits that we expect each Trustee to
receive from all Vanguard Trusts upon retirement, and the total amount of com-
pensation paid to each Trustee by all Vanguard Trusts. All information shown
is for the fiscal year ended November 30, 1998:     
 
                     VANGUARD CONVERTIBLE SECURITIES FUND
                              COMPENSATION TABLE
 
<TABLE>   
<CAPTION>
                           Aggregate   Pension or Retirement     Estimated       Total Compensation
                          Compensation  Benefits Accrued As   Annual Benefits From All Vanguard Trusts
Names of Trustees          From Trust  Part of Trust Expenses Upon Retirement     Paid to Trustees
- -----------------         ------------ ---------------------- --------------- ------------------------
<S>                       <C>          <C>                    <C>             <C>
John C. Bogle...........      None              None               None                 None
John J. Brennan.........      None              None               None                 None
Barbara Barnes
 Hauptfuhrer(2).........      $ .               $ .                $ .                  $ .
Robert E. Cawthorn(2)...      $ .               $ .                $ .                  $ .
JoAnn Heffernan Heisen..      $ .               $ .                $ .                  $ .
Bruce K. MacLaury.......      $ .               $ .                $ .                  $ .
Burton G. Malkiel.......      $ .               $ .                $ .                  $ .
Alfred M. Rankin, Jr....      $ .               $ .                $ .                  $ .
John C. Sawhill.........      $ .               $ .                $ .                  $ .
James O. Welch, Jr......      $ .               $ .                $ .                  $ .
J. Lawrence Wilson......      $ .               $ .                $ .                  $ .
</TABLE>    
- --------
          
(1) The amounts reported in this column reflect the total compensation paid to
    each Trustee for their serving as Trustee of 36 Vanguard Trusts (35 in the
    case of Mr. Malkiel; 28 in the case of Mr. MacLaury).     
   
(2) Mr. Cawthorn and Mrs. Hauptfuhrer have retired from the Trust's Board,
    effective May 31, 1998 and December 31, 1998, respectively.     
 
B-8
<PAGE>
 
                         INVESTMENT ADVISORY SERVICES
   
  The Trust has entered into an investment advisory agreement with Oaktree
Capital Management, LLC (the "Adviser") under which Oaktree manages the in-
vestment and reinvestment of the assets of the Trust and to continuously re-
views, supervises and administers the Trust's investment program. The Adviser
discharges its responsibilities subject to the control of the Officers and
Trustees of the Trust.     
   
  Under the agreement, the Trust pays the Adviser an advisory fee at the end
of each fiscal quarter, calculated by applying a quarterly rate, based on the
following annual percentage rates, to the Fund's average month-end net assets
for the quarter (the "Basic Fee"):     
 
<TABLE>   
<CAPTION>
   Net Assets                                                              Rate
   ----------                                                             ------
   <S>                                                                    <C>
   First $100 million.................................................... 0.425%
   Next $100 million..................................................... 0.400%
   Next $100 million..................................................... 0.375%
   Next $100 million..................................................... 0.350%
   Over $400 million..................................................... 0.325%
</TABLE>    
   
  Beginning November 30, 1997, the Basic Fee payment to the Adviser may be in-
creased or decreased by a Performance Fee Adjustment (the "Adjustment"). The
Adjustment is a percentage of the Basic Fee and changes proportionately with
the investment performance of the Trust relative to the investment performance
of the First Boston Convertible Securities Index (the "Index"). The following
table sets forth the Adjustment of the Basic Fee payable by the Trust to the
Adviser under the investment advisory agreement.     
 
<TABLE>   
<CAPTION>
        Cumulative Performance of
         the Trust vs. the Index         Performance Fee Adjustment
         for the Relevant Period        as a Percentage of Basic Fee
        -------------------------       ----------------------------
   <S>                                  <C>
   -100% of Performance Factor or more              -50%
   -1% to -99% of Performance Factor             0 to -50%
    0                                                0
   +1% to +99% Performance Factor                0 to +50%
   +100% of Performance Factor or more              +50%
</TABLE>    
 
  The Adjustment will be calculated as follows, using data from the table be-
low:
   
  To calculate the Adjustment for a given quarter, (1) for the Relevant Period
for that quarter as set forth in the table below (the "Relevant Period"), the
difference between the investment performance of the Trust and the investment
performance of the Index (the "Performance Differential") will be calculated,
(2) the Performance Differential will be compared to the Performance Factor
specified by the table for that period to determine the extent to which an Ad-
justment is in order, and (3) the Adjustment will be the appropriate percent-
age of the Basic Fee* for an average quarter in that Relevant Period deter-
mined from the table above.     
- --------
* For purposes of this calculation, the relevant Basic Fee is calculated by
  applying the quarterly rate against average assets over the relevant period
  for which performance is measured.
 
                                                                            B-9
<PAGE>
 
<TABLE>   
<CAPTION>
                                                                    Performance
   Quarter Ending                               Relevant Period    Factor (b.p.)
   --------------                             -------------------- -------------
   <S>                                        <C>                  <C>
   Before 11/30/1997.........................         --no adjustment--
   11/30/1997................................ 12/1/1996-11/30/1997       67
    2/28/1998................................ 12/1/1996-2/28/1998        83
    5/31/1998................................ 12/1/1996-5/31/1998       100
    8/31/1998................................ 12/1/1996-8/31/1998       117
   11/30/1998................................ 12/1/1996-11/30/1998      133
    2/28/1999................................ 12/1/1996-2/28/1999       150
    5/31/1999................................ 12/1/1996-5/31/1999       167
    8/31/1999................................ 12/1/1996-8/31/1999       183
   11/30/1999................................ 12/1/1996-11/30/1999      200
   After 11/30/1999.......................... prior 36 months           200
</TABLE>    
   
  The investment performance of the Trust for such period, expressed as a per-
centage of the net asset value per share of the Trust at the beginning of such
period, shall be the sum of: (i) the change in the net asset value per share
of the Trust during such period; (ii) the value of the cash distributions per
share of the Trust accumulated to the end of such period; and (iii) the value
of capital gains taxes per share paid or payable by the Trust on undistributed
realized long-term capital gains accumulated to the end of such period. For
this purpose, the value of distributions per share of realized capital gains,
of dividends per share paid from investment income and of capital gains taxes
per share paid or payable on undistributed realized long-term capital gains
shall be treated as reinvested in shares of the Trust at the net asset value
per share in effect at the close of business on the record date for the pay-
ment of such distributions and dividends and the date on which provision is
made for such taxes, after giving effect to such distributions, dividends and
taxes.     
 
  The "investment record" of the Index for the period, expressed as a percent-
age of the Index level at the beginning of the period, shall be the sum of (i)
the change in the level of the Index during the period and (ii) the value,
computed consistently with the Index, of cash distributions having an ex-divi-
dend date occurring within the period made by companies whose securities com-
prise the Index.
   
  During the fiscal years ended November 30, 1996, 1997, and 1998, the Trust
incurred investment advisory fees of approximately $578,000, $731,000 (before
a decrease of $91,000 based on performance), and $ . , respectively.     
   
  The investment advisory agreement is renewable for successive one-year peri-
ods, only if each renewal is specifically approved by a vote of the Trust's
Board of Trustees, including the affirmative votes of a majority of the Trust-
ees who are not parties to the agreement or "interested persons" (as defined
in the Investment Company Act of 1940) of any such party. The agreement is au-
tomatically terminated if assigned, and may be terminated without penalty at
any time (1) by vote of the Board of Trustees of the Fund on 60 days' written
notice to the Adviser, or (2) by the Adviser upon 60 days' written notice to
the Trust.     
   
  The Trust's Board of Trustees may, without the approval of shareholders,
provide for:     
     
    A. The employment of a new investment adviser pursuant to the terms of a
  new advisory agreement, either as a replacement for an existing adviser or
  as an additional adviser.     
     
    B. A change in the terms of an advisory agreement.     
     
    C. The continued employment of Oaktree or another adviser, after an as-
  signment of the advisory agreement resulting from a change in control of
  the adviser.     
   
  Any such change will be communicated to shareholders in writing.     
 
B-10
<PAGE>
 
   
Description of Oaktree     
   
  Oaktree Capital Management, LLC specializes in selected niche investment
markets. The founders of Oaktree formed the company in April 1995 after having
managed convertible securities, distressed debt, and high yield bond accounts
for Trust Company of the West (TCW) since 1985.     
   
  Larry W. Keele, Principal and one of the five founders of Oaktree, serves as
the Fund's manager. Mr. Keele is supported by research and other investment
services provided by the professional staff of Oaktree. As of November 30,
1998, Oaktree managed approximately $ .  billion.     
 
                            PORTFOLIO TRANSACTIONS
   
  The investment advisory agreement authorizes the Adviser (with the approval
of the Trust's Board of Trustees) to select the brokers or dealers that will
execute the purchases and sales of portfolio securities for the Trust and di-
rects the Adviser to use its best efforts to obtain the best available price
and most favorable execution as to all transactions for the Fund. The Adviser
has undertaken to execute each investment transaction at a price and commis-
sion which provides the most favorable total cost or proceeds reasonably ob-
tainable under the circumstances.     
   
  In placing portfolio transactions, the Adviser will use its best judgment to
choose the broker most capable of providing the brokerage services necessary
to obtain best available price and most favorable execution. The full range
and quality of brokerage services available will be considered in making these
determinations. In those instances where it is reasonably determined that more
than one broker can offer the brokerage services needed to obtain the best
available price and most favorable execution, consideration may be given to
those brokers which supply investment research and statistical information and
provide other services in addition to execution services to the Trust and/or
the Adviser. The Adviser considers such information useful in the performance
of its obligations under the agreement, but is unable to determine the amount
by which such services may reduce its expenses.     
   
  The investment advisory agreement also incorporates the concepts of Section
28(e) of the Securities Exchange Act of 1934 by providing that, subject to the
approval of the Trust's Board of Trustees, the Adviser may cause the Trust to
pay a broker-dealer which furnishes brokerage and research services a higher
commission than that which might be charged by another broker-dealer for ef-
fecting the same transaction; provided that such commission is deemed reason-
able in terms of either that particular transaction or the overall responsi-
bilities of the Adviser to the Trust.     
   
  Currently, it is the Trust's policy that the Adviser may at times pay higher
commissions in recognition of brokerage services felt necessary for the
achievement of better execution of certain securities transactions that other-
wise might not be available. The Adviser will only pay such higher commissions
if it believes this to be in the best interest of the Trust. Some brokers or
dealers who may receive such higher commissions in recognition of brokerage
services related to execution of securities transactions are also providers of
research information to the Adviser and/or the Trust. However, the Adviser has
informed the Trust that it generally will not pay higher commission rates spe-
cifically for the purpose of obtaining research services.     
       
          
  During the fiscal years ended November 30, 1996, 1997 and 1998 the Fund paid
$111,718, $41,776, and $ .  in brokerage commissions.     
   
  Some securities considered for investment by the Fund may also be appropri-
ate for other clients served by the Adviser. If purchase or sale of securities
consistent with the investment policies of the Trust and one or more of these
other clients serviced by the Adviser are considered at or about the same
time, transactions in such securities will be allocated among the Trust and
such other clients in a manner deemed equitable by the Adviser. Although there
may be no specified formula for allocating such transactions, the allocation
methods used and the results of such allocations will be subject to periodic
review by the Fund's Board of Trustees.     
 
                                                                           B-11
<PAGE>
 
                              
                           INVESTMENT POLICIES     
          
  The following policies supplement the Trust's investment objective and poli-
cies set forth in the Prospectus.     
   
  Futures Contracts and Options. The Fund may enter into stock futures con-
tracts, options, and options on futures contracts for the following reasons:
to maintain cash reserves while simulating full investment, to facilitate
trading, to reduce transaction costs, or to seek higher investment returns
when a futures contract is priced more attractively than the underlying equity
security or index. Futures contracts provide for the future sale by one party
and purchase by another party of a specified amount of a specific security at
a specified future time and at a specified price. Futures contracts which are
standardized as to maturity date and underlying financial instrument are
traded on national futures exchanges. Futures exchanges and trading are regu-
lated under the Commodity Exchange Act by the Commodity Futures Trading Com-
mission ("CFTC"), a U.S. Government Agency. Assets committed to futures con-
tracts will be segregated to the extent required by law.     
   
  Although futures contracts by their terms call for actual delivery or ac-
ceptance of the underlying securities, in most cases the contracts are closed
out before the settlement date without the making or taking of delivery. Clos-
ing out an open futures position is done by taking an opposite position ("buy-
ing" a contract which has previously been "sold," "selling" a contract previ-
ously purchased) in an identical contract to terminate the position. Brokerage
commissions are incurred when a futures contract is bought or sold.     
   
  Futures traders are required to make a good faith margin deposit in cash or
government securities with a broker or custodian to initiate and maintain open
positions in futures contracts. A margin deposit is intended to assure comple-
tion of the contract (delivery or acceptance of the underlying security) if it
is not terminated prior to the specified delivery date. Minimal initial margin
requirements are established by the futures exchange and may be changed. Bro-
kers may establish deposit requirements which are higher than the exchange
minimums. Futures contracts are customarily purchased and sold on margin that
may range upward from less that 5% of the value of the contract being traded.
       
  After futures contract position is opened, the value of the contract is
marked to market daily. If the futures contract price changes to the extent
that the margin on deposit does not satisfy margin requirements, payment of
additional "variation" margin will be required. Conversely, change in the con-
tract value may reduce the required margin, resulting in a repayment of excess
margin to the contract holder.Variation margin payments are made to and from
the futures broker for as long as the contract remains open. The Fund expects
to earn interest on its margin deposits.     
   
  Traders in futures contracts may be broadly classified as either "hedgers"
or "speculators." Hedgers use the futures markets primarily to offset unfavor-
able changes in the value of securities otherwise held for investment purposes
or expected to be acquired by them. Speculators are less inclined to own the
securities underlying the futures contracts which they trade, and use futures
contracts with the expectation of realizing profits from fluctuations in the
market value of the underlying securities. The Fund intends to use futures
contracts only for bona fide hedging purposes.     
   
  Regulations of the CFTC applicable to the Fund require that all of its
futures transactions constitute bona fide hedging transactions except to the
extent that the aggregate initial margins and premiums required to establish
any non-hedging positions do not exceed five percent of the value of the
Fund's portfolio. The Fund will only sell futures contracts to protect securi-
ties it owns against price declines or purchase contracts to protect against
an increase in the price of securities it intends to purchase. As evidence of
this hedging interest, the Fund expects that approximately 75% of its futures
contract purchases will be "completed;" that is, equivalent amounts of related
securities will have been purchased or are being purchased by the Fund upon
sale of open futures contracts.     
   
  Although techniques other than the sale and purchase of futures contracts
could be used to control the exposure of a Fund's income to fluctuations in
the market value of the underlying securities, the     
 
B-12
<PAGE>
 
   
use of futures contracts may be a more effective means of hedging this expo-
sure. While the Fund will incur commission expenses in both opening and clos-
ing out futures positions, these costs are lower than transaction costs in-
curred in the purchase and sale of portfolio securities.     
   
  Restrictions on the Use of Futures Contracts. The Fund will not enter into
futures contract transactions to the extent that, immediately thereafter, the
sum of its initial margin deposits on open contracts exceeds 5% of the Fund's
total assets. In addition, the Fund will not enter into futures contracts to
the extent that its outstanding obligations to purchase securities under these
contracts would exceed 20% of the Fund's total assets.     
   
  Risks Factors in Futures Transactions. Positions in futures contracts may be
closed out only on an exchange which provides a secondary market for such
futures. However, there can be no assurance that a liquid secondary market
will exist for any particular futures contract at any specific time. Thus, it
may not be possible to close a futures position. In the event of adverse price
movements, the Fund would continue to be required to make daily cash payments
to maintain its required margin. In such situations, if the Fund has insuffi-
cient cash, it may have to sell portfolio securities to meet daily margin re-
quirements at a time when it may be disadvantageous to do so. In addition, the
Fund may be required to make delivery of the instruments underlying futures
contracts it holds. The inability to close options and futures positions also
could have an adverse impact on the ability to effectively hedge. The Fund
will minimize the risk that it will be unable to close out a futures contract
by only entering into futures contracts which are traded on national futures
exchanges and for which there appears to be a liquid secondary market.     
   
  The risk of loss in trading futures contracts in some strategies can be sub-
stantial, due both to the low margin deposits required, and the extremely high
degree of leverage involved in futures pricing. As a result, a relatively
small price movement in a futures contract may result in immediate and sub-
stantial loss (as well as gain) to the investor. For example, if, at the time
of purchase, 10% of the value of the futures contract is deposited as margin,
a subsequent 10% decrease in the value of the futures contract would result in
a total loss of the margin deposit, before any deduction for the transaction
costs, if the account were then closed out. A 15% decrease would result in a
loss equal to 150% of the original margin deposit if the contract were closed
out. Thus, a purchase or sale of a futures contract may result in losses in
excess of the amount invested in the contract. However, because the futures
strategies of the Fund are engaged in only for hedging purposes, the invest-
ment advisers do not believe that the Fund is subject to the risks of loss
frequently associated with futures transactions. The Fund would presumably
have sustained comparable losses if, instead of the futures contract, it had
invested in the underlying financial instrument and sold it after the decline.
       
  Utilization of futures transactions by the Fund does involve the risk of im-
perfect or no correlation where the securities underlying futures contracts
have different maturities than the portfolio securities being hedged. It is
also possible that the Fund could both lose money on futures contracts and ex-
perience a decline in the value of its portfolio securities. There is also the
risk of loss by the Fund of margin deposits in the event of bankruptcy of a
broker with whom the Fund has an open position in a futures contract or re-
lated option.     
   
  Most futures exchanges limit the amount of fluctuation permitted in futures
contract prices during a single trading day. The daily limit establishes the
maximum amount that the price of a futures contract may vary either up or down
from the previous day's settlement price at the end of a trading session. Once
the daily limit has been reached in a particular type of contract, no trades
may be made on that day at a price beyond that limit. The daily limit governs
only price movement during a particular trading day and therefore does not
limit potential losses, because the limit may prevent the liquidation of unfa-
vorable positions. Futures contract prices have occasionally moved to the
daily limit for several consecutive trading days with little or no trading,
thereby preventing prompt liquidation of future positions and subjecting some
futures traders to substantial losses.     
 
                                                                           B-13
<PAGE>
 
   
  Federal Tax Treatment of Futures Contracts. Except for transactions the Fund
has identified as hedging transactions, the Fund is required for federal in-
come tax purposes to recognize as income for each taxable year its net
unrealized gains and losses on futures contracts held as of the end of the
year as well as those actually realized during the year. In most cases, any
gain or loss recognized with respect to a futures contract is considered to be
60% long-term capital gain or loss and 40% short-term capital gain or loss,
without regard to the holding period of the contract. Furthermore, sales of
futures contracts which are intended to hedge against a change in the value of
securities held by the Fund may affect the holding period of such securities
and, consequently, the nature of the gain or loss on such securities upon dis-
position. The Funds may be required to defer the recognition of losses on
futures contracts to the extent of any unrecognized gains on related positions
held by the Funds.     
   
  In order for the Fund to continue to qualify for federal income tax treat-
ment as a regulated investment company, at least 90% of its gross income for a
taxable year must be derived from qualifying income; i.e., dividends, inter-
est, income derived from loans of securities, and gains from the sale of secu-
rities or foreign currencies, or other income derived with respect to its
business of investing in such stock, securities, or currencies. It is antici-
pated that any net gain realized from the closing out of futures contracts
will be considered qualifying income for purposes of the 90% requirement.     
   
  The Fund will distribute to shareholders annually any net capital gains
which have been recognized for federal income tax purposes (including
unrealized gains at the end of the Fund's fiscal year) on futures transac-
tions. Such distributions will be combined with distributions of capital gains
realized on the Fund's other investments and shareholders will be advised on
the nature of the payments.     
   
  Foreign Investments. Vanguard Convertible Securities Fund may invest up to
20% of its assets in securities of foreign companies. Investors should recog-
nize that investing in foreign companies involves certain special considera-
tions which are not typically associated with investing in U.S. companies.
       
  Currency Risk. Since the stocks of foreign companies are frequently denomi-
nated in foreign currencies, and since the Trust may temporarily hold
uninvested reserves in bank deposits in foreign currencies, the Trust will be
affected favorably or unfavorably by changes in currency rates and in exchange
control regulations, and may incur costs in connection with conversions be-
tween various currencies.     
   
  Country Risk. As foreign companies are not generally subject to uniform ac-
counting, auditing and financial reporting standards and practices comparable
to those applicable to domestic companies, there may be less publicly avail-
able information about certain foreign companies than about domestic compa-
nies. Securities of some foreign companies are generally less liquid and more
volatile than securities of comparable domestic companies. There is generally
less government supervision and regulation of stock exchanges, brokers and
listed companies than in the U.S. In addition, with respect to certain foreign
countries, there is the possibility of expropriation or confiscatory taxation,
political or social instability, or diplomatic developments which could affect
U.S. investments in those countries.     
   
  Although, the Trust will endeavor to achieve most favorable execution costs
in their portfolio transactions, fixed commissions on many foreign stock ex-
changes are generally higher than negotiated commissions on U.S. exchanges. In
addition, it is expected that the expenses for custodian arrangements of the
Trust's foreign securities will be somewhat greater than the expenses for the
custodian arrangements for handling U.S. securities of equal value.     
   
  Certain foreign governments levy withholding taxes against dividend and in-
terest income. Although in some countries a portion of these taxes is recover-
able, the non-recovered portion of foreign withholding taxes will reduce the
income received from foreign companies held by the Trust. However, these for-
eign withholding taxes are not expected to have a significant impact on the
Trust, since the Trust seeks long-term capital appreciation and any income
should be considered incidental.     
 
B-14
<PAGE>
 
   
  Turnover Rate. While the turnover rate is not a limiting factor when manage-
ment deems changes appropriate, it is anticipated that the annual turnover
rate for the Trust will not normally exceed 100%. A rate of turnover of 100%
could occur, for example, if all of the securities held by the Trust are re-
placed within a period of one year. The portfolio turnover rate for the Trust
for each of the fiscal years presented is set forth under "Financial High-
lights," in the Trust's Prospectus.     
   
  Illiquid Securities. Each Fund may invest up to 15% of its net assets in il-
liquid securities. Illiquid securities are securities that may not be sold or
disposed of in the ordinary course of business within seven business days at
approximately the value at which they are being carried on the Fund's books.
       
  Each Fund may invest in restricted, privately placed securities that, under
SEC rules, may be sold only to qualified institutional buyers. Because these
securities can be resold only to qualified institutional buyers, they may be
considered illiquid securities--meaning that they could be difficult for the
Fund to convert to cash if needed.     
   
  If a substantial market develops for a restricted security held by the Fund,
it will be treated as a liquid security, in accordance with procedures and
guidelines approved by the Fund's Board of Trustees. This generally includes
securities that are unregistered that can be sold to qualified institutional
buyers in accordance with Rule 144A under the 1933 Act. While the Fund's in-
vestment adviser determines the liquidity of restricted securities on a daily
basis, the Board oversees and retains ultimate responsibility for the advis-
er's decisions. Several factors the Board considers in monitoring these deci-
sions include the valuation of a security, the availability of qualified in-
stitutional buyers, and the availability of information about the security's
issuer.     
   
  Repurchase Agreements. The Trust along with other members of the Vanguard
Group may invest in repurchase agreements with commercial banks, brokers or
dealers either for defensive purposes due to market conditions or to generate
income from its excess cash balances. A repurchase agreement is an agreement
under which the Trust acquires a money market instrument (generally a security
issued by the U.S. Government or an agency thereof, a banker's acceptance or a
certificate of deposit) from a commercial bank, broker or dealer, subject to
resale to the seller at an agreed upon price and date (normally, the next
business day). A repurchase agreement may be considered a loan collateralized
by securities. The resale price reflects an agreed upon interest rate effec-
tive for the period the instrument is held by the Trust and is unrelated to
the interest rate on the underlying instrument. In these transactions, the se-
curities acquired by the Trust (including accrued interest earned thereon)
must have a total value in excess of the value of the repurchase agreement and
are held by a custodian bank until repurchased. In addition, the Trust's Board
of Trustees monitors repurchase agreement transactions generally and has es-
tablished guidelines and standards for a review by the investment adviser of
the creditworthiness of any bank, broker or dealer party to a repurchase
agreement.     
   
  Lending of Securities. The Trust may lend its investment securities to qual-
ified institutional investors (typically brokers, dealers, banks or other fi-
nancial institutions) who need to borrow securities in order to complete cer-
tain transactions, such as covering short sales, avoiding failures to deliver
securities or completing arbitrage operations. By lending its investment secu-
rities, the Trust attempts to increase its net investment income through the
receipt of interest on the loan. Any gain or loss in the market price of the
securities loaned that might occur during the term of the loan would be for
the account of the Trust. The terms and the structure and the aggregate amount
of such loans must be consistent with the Investment Company Act of 1940, and
the Rules and Regulations or interpretations of the Securities and Exchange
Commission (the "Commission") thereunder. These provisions limit the amount of
securities a fund may lend to 33 1/3% of the Fund's total assets, and require
that (a) the borrower pledge and maintain with the Trust collateral consisting
of cash, an irrevocable letter of credit or securities issued or guaranteed by
the United States Government having at all times not less than 100% of the
value of the securities loaned, (b) the borrower add to such collateral when-
ever the price     
 
                                                                           B-15
<PAGE>
 
   
of the securities loaned rises (i.e., the borrower "marks to the market" on a
daily basis), (c) the loan be made subject to termination by the Trust at any
time, and (d) the Trust receive reasonable interest on the loan (which may in-
clude the Trust's investing any cash collateral in interest bearing short-term
investments), any distribution on the loaned securities and any increase in
their market value. Loan arrangements made by will comply with all other ap-
plicable regulatory requirements, including the rules of the New York Stock
Exchange, which presently require the borrower, after notice, to redeliver the
securities within the normal settlement time of three business days. All rele-
vant facts and circumstances, including the creditworthiness of the broker,
dealer or institution, will be considered in making decisions with respect to
the lending of securities, subject to review by the Trust's Board of Trustees.
       
  At present time, the Staff of the Commission does not object if an invest-
ment company pays reasonable negotiated fees in connection with loaned securi-
ties, so long as such fees are set forth in written contract and approved by
the investment company's Trustees. In addition, voting rights pass with the
loaned securities, but if a material event will occur affecting an investment
on loan, the loan must be called and the securities voted.     
   
  Vanguard Interfund Lending Program. The SEC has issued an exemptive order
permitting the Fund to participate in Vanguard's interfund lending program.
This program allows the Vanguard funds to borrow money from and loan money to
each other for temporary or emergency purposes. The program is subject to a
number of conditions, including the requirement that no fund may borrow or
lend money through the program unless it receives a more favorable interest
rate than is available from a typical bank for a comparable transaction. In
addition, a fund may participate in the program only if and to the extent that
such participation is consistent with the fund's investment objective and
other investment policies. The Boards of Trustees of the Vanguard funds are
responsible for ensuring that the interfund lending program operates in com-
pliance with all conditions of the SEC's exemptive order.     
   
  Temporary Investments. The Fund may take temporary defensive measures that
are inconsistent with the Fund's normal investment strategies in response to
adverse market, economic, political or other conditions. Such measures could
include investments in (a) highly liquid short-term fixed income securities
issued by or on behalf of municipal or corporate issuers, obligations of the
U.S. Government and its agencies, commercial paper, and bank certificates of
deposit; (b) shares of other investment companies which have investment objec-
tives consistent with those of the Fund; (c) repurchase agreements involving
any such securities; and (d) other money market instruments. There is no limit
on the extent to which the Fund may take temporary defensive measures. In tak-
ing such measures, the Fund may fail to achieve its investment objective.     
                              
                           FINANCIAL STATEMENTS     
   
  The Trust's Financial Statements for the year ended November 30, 1998, in-
cluding the financial highlights for each of the five fiscal years in the pe-
riod ended November 30, 1998, appearing in the Trust's 1998 Annual Report to
Shareholders, and the report thereon of PricewaterhouseCoopers LLP, indepen-
dent accountants, also appearing therein, are incorporated by reference in
this Statement of Additional Information. For a more complete discussion of
the performance, please see the Trust's Annual Report to Shareholders, which
may be obtained without charge.     
 
                            YIELD AND TOTAL RETURN
   
  The yield of the Trust for the 30-day period ended November 30, 1998 was
 . %.     
   
  The average annual total return of the Trust for the one-, five-, and ten-
year periods ended November 30, 1998 was  . %,  . % and  . %, respectively.
The average annual total return of the Trust since its inception on June 17,
1986 until November 30, 1998 was  . %.     
 
 
B-16
<PAGE>
 
   
Average Annual Total Return     
   
  Average annual total return is the average annual compounded rate of return
for the periods of one year, five years, ten years or the life of the Fund,
all ended on the last day of a recent month. Average annual total return quo-
tations will reflect changes in the price of the Fund's shares and assume that
all dividends and capital gains distributions during the respective periods
were reinvested in Fund shares.     
   
  Average annual total return is calculated by finding the average annual com-
pounded rates of return of a hypothetical investment over such periods accord-
ing to the following formula (average annual total return is then expressed as
a percentage):     
                               
                            T = (ERV/P)/1/n/-1     
       
    Where:     
         
        T   = average annual total return     
         
        P   = a hypothetical initial investment of $1,000     
         
        n   = number of years     
         
        ERV = ending redeemable value: ERV is the value, at the end of the
      applicable period, of a hypothetical $1,000 investment made at the
      beginning of the applicable period.     
   
Cumulative Total Return     
   
  Cumulative total return is the cumulative rate of return on a hypothetical
initial investment of $1,000 for a specified period. Cumulative total return
quotations reflect changes in the price of the Fund's shares and assume that
all dividends and capital gains distributions during the period were rein-
vested in Fund shares. Cumulative total return is calculated by finding the
cumulative rates of a return of a hypothetical investment over such periods,
according to the following formula (cumulative total return is then expressed
as a percentage):     
                                 
                              C = (ERV/P) -1     
       
    Where:     
         
        C   = cumulative total return     
         
        P   = a hypothetical initial investment of $1,000     
         
        ERV = ending redeemable value: ERV is the value, at the end of the
      applicable period, of a hypothetical $1,000 investment made at the
      beginning of the applicable period.     
   
SEC Yields     
   
  Yield is the net annualized yield based on a specified 30-day (or one month)
period assuming semiannual compounding of income. Yield is calculated by di-
viding the net investment income per share earned during the period by the
maximum offering price per share on the last day of the period, according to
the following formula:     
                          
                       YIELD = 2[((a-b)/cd+1)/6/-1]     
       
    Where:     
         
        a = dividends and interest earned during the period.     
         
        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.     
 
                                                                           B-17
<PAGE>
 
                                  
                               SHARE PRICE     
   
  The Trust's share price, or "net asset value" per share, is calculated by
dividing the total assets of the Trust, less all liabilities, by the total
number of shares outstanding. The net asset value is determined as of the
close of the New York Stock Exchange (the "Exchange", generally 4:00 p.m.
Eastern time) on each day that the exchange is open for trading.     
   
  Trust securities for which market quotations are readily available (includes
those securities listed on national securities exchanges, as well as those
quoted on the NASDAQ Stock Market) will be valued at the last quoted sales
price on the day the valuation is made. Such securities which are not traded
on the valuation date are valued at the mean of the bid and ask prices. Price
information on exchange-listed securities is taken from the exchange where the
security is primarily traded. Securities may be valued on the basis of prices
provided by a pricing service when such prices are believed to reflect the
fair market value of such securities.     
   
  Short term instruments (those with remaining maturities of 60 days or less)
may be valued at cost, plus or minus any amortized discount or premium, which
approximates market value.     
   
  Bonds and other fixed income securities may be valued on the basis of prices
provided by a pricing service when such prices are believed to reflect the
fair market value of such securities. The prices provided by a pricing service
may be determined without regard to bid or last sale prices of each security,
but take into account institutional-size transactions in similar groups of se-
curities as well as any developments related to specific securities.     
   
  Other assets and securities for which no quotations are readily available or
which are restricted as to sale (or resale) are valued by such methods as the
Board of Trustees deems in good faith to reflect fair value.     
   
  The share price for the Trust can be found daily in the mutual fund listings
of most major newspapers under the heading of Vanguard Funds.     
 
                              COMPARATIVE INDEXES
   
  Vanguard may use reprinted material discussing The Vanguard Group, Inc. or
any of the member trusts of The Vanguard Group of Investment Companies.     
   
  Each of the investment company members of The Vanguard Group, including Van-
guard Convertible Securities Fund, may, from time to time, use one or more of
the following unmanaged indices for comparative performance purposes.     
   
  Standard and Poor's 500 Composite Stock Price Index--contains the stocks of
500 of the largest domestic companies.     
 
  Standard & Poor's MidCap 400 Index--is composed of 400 medium sized domestic
stocks.
 
  Standard & Poor's SmallCap 600/BARRA Value Index--contains stocks of the S&P
SmallCap 600 Index which have a lower than average price-to-book ratio.
 
  Standard & Poor's SmallCap 600/BARRA Growth Index--contains stocks of the
S&P SmallCap 600 Index which have a higher than average price-to-book ratio.
 
  Russell 1000 Value Index--consists of the stocks in the Russell 1000 Index
(comprising the 1,000 largest U.S.-based companies measured by total market
capitalization) with the lowest price-to-book ratios, comprising 50% of the
market capitalization of the Russell 1000.
 
B-18
<PAGE>
 
  Wilshire 5000 Equity Index--consists of more than 7,000 common equity secu-
rities, covering all stocks in the U.S. for which daily pricing is available.
 
  Wilshire 4500 Equity Index--consists of all stocks in the Wilshire 5000 ex-
cept for the 500 stocks in the Standard and Poor's 500 Index.
 
  Morgan Stanley Capital International EAFE Index--is an arithmetic, market
value-weighted average of the performance of over 900 securities listed on the
stock exchanges of countries in Europe, Australia, Asia, and the Far East.
 
  Goldman Sachs 100 Convertible Bond Index--currently includes 71 bonds and 29
preferreds. The original list of names was generated by screening for convert-
ible issues of $100 million or greater in market capitalization. The index is
priced monthly.
 
  Salomon Brothers GNMA Index--includes pools of mortgages originated by pri-
vate lenders and guaranteed by the mortgage pools of the Government National
Mortgage Association.
 
  Salomon Brothers High-Grade Corporate Bond Index--consists of publicly is-
sued, non-convertible corporate bonds rated Aa or Aaa. It is a value-weighted,
total return index, including approximately 800 issues with maturities of 12
years or greater.
 
  The Lehman Aggregate Bond Index is composed of the Lehman Brothers
Government/Corporate Bond Index and the Lehman Brothers Mortgage-Backed Secu-
rities Index and includes treasury issues, agency issues, corporate bond is-
sues and mortgage-backed securities. All securities are rated investment grade
or higher by Moody's Investors Service, Standard & Poor's Corporation, or
Fitch Investor's Service, in that order. All issues have at least one year to
maturity and an outstanding par value of at least $100 million.
 
  Lehman Long-Term Treasury Bond Index--is composed of all bonds covered by
the Shearson Lehman Hutton Treasury Bond Index with maturities of 10 years or
greater.
 
  Merrill Lynch Corporate & Government Bond Index--consists of over 4,500 U.S.
Treasury, agency and investment grade corporate bonds.
   
  Lehman Corporate (Baa) Bond Index--all publicly offered fixed-rate, noncon-
vertible domestic corporate bonds rated Baa by Moody's, with a maturity longer
than 1 year and with more than $25 million outstanding. This index includes
over 1,000 issues.     
 
  Lehman Brothers Long-term Corporate Bond Index--is a subset of the Lehman
Corporate Bond Index covering all corporate, publicly issued, fixed-rate, non-
convertible U.S. debt issues rated at least Baa, with at least $50 million
principal outstanding and maturity greater than 10 years.
 
  Bond Buyer Municipal Bond Index--is a yield index on current-coupon high
grade general-obligation municipal bonds.
 
  Standard & Poor's Preferred Index--is a yield index based upon the average
yield of four high grade, noncallable preferred stock issues.
 
  NASDAQ Industrial Index--is composed of more than 3,000 industrial issues.
It is a value-weighted index calculated on price change only and does not in-
clude income.
 
  Composite Index--70% Standard & Poor's 500 Index and 30% NASDAQ Industrial
Index.
 
                                                                           B-19
<PAGE>
 
  Composite Index--65% Standard & Poor's 500 Index and 35% Lehman Long-Term
Corporate AA or Better Bond Index.
 
  Composite Index--65% Lehman Long-Term Corporate AA or Better Bond Index and
a 35% weighting in a blended equity composite (75% Standard & Poor's/BARRA
Value Index, 12.5% Standard & Poor's Utilities Index and 12.5% Standard &
Poor's Telephone Index).
 
  Lehman Long-Term Corporate AA or Better Bond Index--consists of all publicly
issued, fixed rate, nonconvertible investment grade, dollar-denominated, SEC-
registered corporate debt rated AA or AAA.
 
  Lehman Brothers Aggregate Bond Index--is a market weighted index that con-
tains over 4,000 individually priced U.S. Treasury, agency, corporate, and
mortgage pass-through securities corporate rated Baa--or better. The Index has
a market value of approximately $4 trillion.
 
  Lehman Brothers Mutual Fund Short (1-5) Government/Corporate Index--is a
market weighted index that contains individually priced U.S. Treasury, agency,
and corporate investment grade bonds rated BBB--or better with maturities be-
tween 1 and 5 years. The index has a market value of approximately $1.6 tril-
lion.
 
  Lehman Brothers Mutual Fund Intermediate (5-10) Government/Corporate Index--
is a market weighted index that contains individually priced U.S. Treasury,
agency, and corporate securities rated BBB--or better with maturities between
5 and 10 years. The index has a market value of approximately $700 billion.
 
  Lehman Brothers Long (10+) Government/Corporate Index--is a market weighted
index that contains individually priced U.S. Treasury, agency, and corporate
securities rated BBB--or better with maturities of ten or more years. The in-
dex has a market value of over $900 billion.
 
  Lehman Brothers Mutual Fund Short (1-5) Investment Grade Debt Index--is a
market weighted index that contains all investment grade corporate debt secu-
rities with maturities of one to five years. The index has a market value of
approximately $175 billion.
 
  Lehman Brothers Mutual Fund Short (1-5) U.S. Treasury Index--is a market
weighted index that contains all U.S. Treasury securities with maturities of
one to five years. The index has a market value of approximately $1.1 tril-
lion.
 
  Lehman Brothers Mutual Fund Short (1-5) U.S. Government Index--is a market
weighted index that contains all U.S. Government agency and Treasury securi-
ties with maturities of one to five years. The index has a market value of ap-
proximately $1.3 trillion.
 
  Lehman Brothers Mutual Fund Intermediate (5-10) U.S. Treasury Index--is a
market weighted index that contains all U.S. Treasury securities with maturi-
ties of five to ten years. The index has a market value of approximately $300
billion.
 
  Lehman Brothers Mutual Fund Intermediate (5-10) Investment Grade Debt In-
dex--is a market weighted index that contains all investment grade debt secu-
rities with maturities of five to ten years. The index has a market value of
approximately $225 billion.
   
  Lipper Small Company Growth Fund Average--the average performance of small
company growth funds as defined by Lipper Analytical Services, Inc. Lipper de-
fines a small company growth fund as a fund that by prospectus or in practice
limits its investments to companies on the basis of the size of the company.
From time to time, Vanguard's advertisements may refer to the average perfor-
mance and/or the average expense ratio of the small company growth funds.
(This fund category was first     
 
B-20
<PAGE>
 
   
established in 1982. For years prior to 1982, the results of the Lipper Small
Company Growth category were estimated using the returns of the Funds that
constituted the group at its inception).     
 
  Lipper General Equity Fund Average--an industry benchmark of average general
equity funds with similar investment objectives and policies, as measured by
Lipper Analytical Services, Inc.
 
  Lipper Fixed Income Fund Average--an industry benchmark of average fixed in-
come funds with similar investment objectives and policies, as measured by
Lipper Analytical Services, Inc.
 
  Russell 3000 Index--consists of approximately the 3,000 largest stocks of
U.S.-domiciled companies commonly traded on the New York and American Stock
Exchanges or the NASDAQ over-the-counter market, accounting for over 90% of
the market value of publicly traded stocks in the U.S.
 
  Russell 2000 Stock Index--consists of the smallest 2,000 stocks within the
Russell 3000; a widely used benchmark for small capitalization common stocks.
 
  Lipper Balanced Fund Average--an industry benchmark of average balanced
funds with similar investment objectives and policies, as measured by Lipper
Analytical Services, Inc.
 
  Lipper Non-Government Money Market Fund Average--an industry benchmark of
average non-government money market funds with similar investment objectives
and policies, as measured by Lipper Analytical Services, Inc.
 
  Lipper Government Money Market Fund Average--an industry benchmark of aver-
age government money market funds with similar investment objectives and poli-
cies, as measured by Lipper Analytical Services, Inc.
 
  First Boston Convertible Securities Index--Established as a performance
benchmark in 1982, the Index is valued monthly and generally includes 250 to
300 issues of convertible securities rated B- or better by Standard & Poor's,
and a predominant proportion of the market capitalization of the total value
of all convertible securities.
       
                                                                           B-21
<PAGE>
 
                APPENDIX--DESCRIPTION OF SECURITIES AND RATINGS
 
I. Description of Bond Ratings
 
  Excerpts from Moody's Investors Service, Inc., ("Moody's") description of
its bond ratings: Aaa-- judged to be the best quality. They carry the smallest
degree of investment risk; Aa--judged to be of high quality by all standards.
Together with the Aaa group they comprise what are generally known as high
grade bonds; A--possess many favorable investment attributes and are to be
considered as "upper medium grade obligations"; Baa--considered as medium
grade obligations, i.e., they are neither highly protected nor poorly secured.
Interest payments and principal security appear adequate for the present but
certain protective elements may be lacking or may be characteristically unre-
liable over any great length of time. Ba--judged to have speculative elements;
their future cannot be considered as well assured; B--generally lack charac-
teristics of the desirable investment; Caa--are of poor standing. Such issues
may be in default or there may be present elements of danger with respect to
principal or interest; Ca--speculative in a high degree; often in default; C--
lowest rated class of bonds; regarded as having extremely poor prospects.
 
  Moody's also supplies numerical indicators 1, 2 and 3 to rating categories.
The modifier 1 indicates that the security is in the higher end of its rating
category; the modifier 2 indicates a mid-range ranking; and 3 indicates a
ranking toward the lower end of the category.
 
  Excerpts from Standard & Poor's Corporation ("S&P") description of its four
highest bond ratings: AAA--highest grade obligations. Capacity to pay interest
and repay principal is extremely strong; AA-- also qualify as high grade obli-
gations. A very strong capacity to pay interest and repay principal and dif-
fers from AAA issues only in small degree; A--regarded as upper medium grade.
They have a strong capacity to pay interest and repay principal although they
are somewhat susceptible to the adverse effects of changes in circumstances
and economic conditions than debt in higher rated categories; BBB--regarded as
having an adequate capacity to pay interest and repay principal. Whereas it
normally exhibits adequate protection parameters, adverse economic conditions
or changing circumstances are more likely to lead to a weakened capacity to
pay interest and repay principal for debt in this category than in higher
rated categories. This group is the lowest which qualifies for commercial bank
investment. BB, B, CCC, CC--predominately speculative with respect to capacity
to pay interest and repay principal in accordance with terms of the obliga-
tion; BB indicates the lowest degree of speculation and CC the highest.
 
  S&P applies indicators "+," no character, and "-" to its rating categories.
The indicators show relative standing within the major rating categories.
 
B-22
<PAGE>
 
                                    PART C
                      
                   VANGUARD CONVERTIBLE SECURITIES FUND     
 
                               OTHER INFORMATION
   
Item 23. Exhibits     
          
  (a)Declaration of Trust+     
     
  (b)By-Laws+     
     
  (c)Not Applicable     
     
  (d)Investment Advisory Contract+     
     
  (e)Not Applicable     
            
  (f) Reference is made to the section entitled "Management of the Trust" in
      the Registrant's Statement of Additional Information     
     
  (g)Custodian Agreement+     
     
  (h)Amended and Restated Service Agreement+     
     
  (i)Legal Opinion+     
     
  (j)Consent of Independent Accountants**     
     
  (k)Not Applicable     
     
  (l)Not Applicable     
     
  (m)Not Applicable     
            
  (n)Financial Data Schedule*     
     
  (o)Not Applicable     
- --------
*Filed herewith.
   
+Filed previously     
   
**To be filed by Amendment.     
   
Item 24. Persons Controlled by or under Common Control with the Fund     
   
  Registrant is not controlled by or under common control with any person.
    
          
Item 25. Indemnification     
   
  The Registrant's organizational documents contain provisions indemnifying
Trustees and Officers against liability incurred in their official capacity.
Article VII, Section 2 of the Declaration of Trust provides that the Regis-
trant may indemnify and hold harmless each and every Trustee and Officer from
and against any and all claims, demands, costs, losses, expenses, and damages
whatsoever arising out of or related to the performance of his or her duties
as a Trustee or Officer. However, this provision does not cover any liability
to which a Trustee or Officer would otherwise be subject by reason of willful
misfeasance, bad faith, gross negligence or reckless disregard of the duties
involved in the conduct of his or her office. Article VI of the By-Laws gener-
ally provides that the Registrant shall indemnify its Trustees and Officers
from any liability arising out of their past or present service in that capac-
ity. Among other things, this provision excludes any liability arising by rea-
son of willful misfeasance, bad faith, gross negligence, or the reckless dis-
regard of the duties involved in the conduct of the Trustee's or Officer's of-
fice with the Registrant.     
   
Item 26. Business and Other Connections of the Investment Adviser     
   
  Oaktree Capital Management LLC. ("Oaktree"), is an investment adviser regis-
tered under the Investment Advisers Act of 1940, as amended (the "Adviser
Act"). The list required by this Item 26 of officers and partners of Oaktree,
together with any information as to any business profession, vocation or em-
ployment of a substantial nature engaged in by such officers and partners dur-
ing the past two years, is incorporated herein by reference from Schedules B
and D of Form ADV filed by Oaktree pursuant to the Advisers Act (SEC File No.
 .).     
 
                                                                            C-1
<PAGE>
 
   
Item 27. Principal Underwriters     
     
  (a) Not Applicable     
  (b) Not Applicable
     
  (c) Not Applicable     
   
Item 28. Location of Accounts and Records     
   
  The books, accounts, and other documents required to be maintained by Sec-
tion 31(a) of the Investment Company Act of 1940 and the rules promulgated
thereunder will be maintained at the offices of the Registrant; Registrant's
Transfer Agent, The Vanguard Group, Inc., Valley Forge, Pennsylvania 19482;
and the Registrant's Custodian, First Union National Bank, Philadelphia, Penn-
sylvania.     
   
Item 29. Management Services     
   
  Other than as set forth under the description of The Vanguard Group in Part
B of this Registration Statement, the Registrant is not a party to any manage-
ment-related service contract.     
   
Item 30. Undertakings     
   
  Not Applicable     
 
C-2
<PAGE>
 
                                   SIGNATURES
   
  Pursuant to the requirements of the Securities Act of 1933 and the Investment
Company Act of 1940, the Registrant hereby certifies it has duly caused this
Post-Effective Amendment to this Registration Statement to be signed on its be-
half by the undersigned, thereunto duly authorized, in the Town of Valley Forge
and the Commonwealth of Pennsylvania, on this 25th day of January, 1999.     
                                            
                                         Vanguard Convertible Securities Fund
                                              
                                                       (signature)
                                         By: __________________________________
                                                       
                                                    (Heidi Stam)     
                                                    John J. Brennan*,
                                               Chairman and Chief Executive
                                                         Officer
 
  Pursuant to the requirements of the Securities Act of 1933, this Post-Effec-
tive Amendment to the Registration Statement has been signed below by the fol-
lowing persons in the capacities and on the date indicated:

<TABLE>     
<CAPTION> 
 
             Signatures                      Title                 Date
             ----------                      -----                 ----
<S>                                   <C>                      <C> 
            (signature)               John C. Bogle*,          January 25, 1999
By: ________________________________   Senior Chairman of      
            (Heidi Stam)               the Board and
                                       Trustee 
                                     
            (signature)               John J. Brennan*,        January 25, 1999
By: ________________________________   Chairman, Chief        
            (Heidi Stam)               Executive Officer
                                       and Trustee      
                                                                                
            (signature)               JoAnn Heffernan          January 25, 1999 
By: ________________________________   Heiser*, Trustee                         
            (Heidi Stam) 
                                      
            (signature)               Bruce K. MacLaury*,      January 25, 1999
By: ________________________________   Trustee 
            (Heidi Stam)             
                                     
            (signature)               Burton G. Malkiel*,      January 25, 1999
By: ________________________________   Trustee
            (Heidi Stam)             
                                      
            (signature)               Alfred M. Rankin,        January 25, 1999
By: ________________________________   Jr.*, Trustee 
            (Heidi Stam)             
                                     
            (signature)               John C. Sawhill*,        January 25, 1999
By: ________________________________   Trustee
            (Heidi Stam)             
                                     
            (signature)               James O. Welch,          January 25, 1999
By: ________________________________   Jr.*, Trustee 
            (Heidi Stam)             
                                     
            (signature)               J. Lawrence              January 25, 1999
By: ________________________________   Wilson*, Trustee       
            (Heidi Stam)             
                                     
            (signature)               Thomas J. Higgins*,      January 25, 1999
By: ________________________________   Treasurer,            
            (Heidi Stam)               Principal
                                       Financial Officer
                                       and Accounting
                                       Officer 
</TABLE>      
   
* By Power of Attorney. See File Number 33-4424, filed on January 25, 1999. In-
 corporated by Reference.     
<PAGE>
 
                               POWER OF ATTORNEY
 
  Each person (as such term is defined in the Securities Act of 1933, as
amended) whose signature appears below hereby constitutes and appoints Heidi
Stam and R. Gregory Barton and each of them, with full power to act without
the other, as the true and lawful attorney-in-fact and agent, with full and
several power of substitution, of such undersigned person with authority to
take any appropriate action to execute in the name of and on behalf of such
undersigned person, and to file with the U.S. Securities and Exchange Commis-
sion (the "Commission"), any registration statements and any and all amend-
ments (including without limitation post-effective amendments) to a registra-
tion statement, any and all applications for exemptive relief from state or
federal regulations, and any and all amendments thereto, or any other forms of
documents, including without limitation, any registration statement on Form N-
14, and any and all amendments thereto, and to perform any and all such acts
as such attorney-in-fact may deem necessary or advisable to enable the follow-
ing named persons that are registered with the Commission (the "Registrants")
to comply with the applicable laws of the United States, any individual state
or similar jurisdiction of the United States, and in connection therewith to
execute and file all requisite papers and documents, including but not limited
to, applications, reports, notices, surety bonds, irrevocable consents and ap-
pointments of attorneys for service of process; granting to such attorneys-in-
fact and agents, and each of them, full power and authority to do and perform
each and every act requisite and necessary to be done in connection therewith,
as fully as the relevant Registrant and undersigned person might or could do
herself, himself or itself or in person, hereby ratifying and confirming all
that such attorneys-in-fact and agents or any of them, or their substitute or
substitutes, may lawfully do or cause to be done by virtue hereof:
 
Vanguard Admiral Funds                    Vanguard Asset Allocation Fund
Vanguard Balanced Index Funds             Vanguard Bond Index Funds
Vanguard California Tax-Free Funds        Vanguard Convertible Securities
Vanguard Equity Income Fund               Funds
Vanguard Fixed Income Securities          Vanguard Explorer Fund
Funds                                     Vanguard Florida Insured Tax-Free
Vanguard Horizon Funds                    Fund
Vanguard Institutional Index Funds        Vanguard Index Funds
Vanguard Massachusetts Tax-Exempt         Vanguard International Equity Index
Funds                                     Funds
Vanguard Morgan Growth Fund               Vanguard Money Market Reserves
Vanguard New Jersey Tax-Free Funds        Vanguard Municipal Bond Funds
Vanguard Ohio Tax-Free Funds              Vanguard New York Tax-Free Funds
Vanguard Preferred Stock Fund             Vanguard Pennsylvania Tax-Free Funds
Vanguard Quantitative Funds               Vanguard PRIMECAP Fund
Vanguard STAR Funds                       Vanguard Specialized Funds
Vanguard Treasury Fund                    Vanguard Tax-Managed Funds
Vanguard Variable Insurance Funds         Vanguard Trustees' Equity Fund
Vanguard Wellington Fund                  Vanguard Wellesley Income Fund
Vanguard Windsor Funds                    Vanguard Whitehall Funds
                                          Vanguard World Fund
<PAGE>
 
  Each of the undersigned persons has executed this Power of Attorney in the
capacity and on the date indicated opposite the name of the undersigned per-
son.
 
 
                Name                           Title                 Date
 
                                       Senior Chairman and       January 15,
By: _________________________________   Trustee                      1999
            John C. Bogle
 
                                       Chairman, Chief           January 15,
By: _________________________________   Executive Officer            1999
           John J. Brennan              and Trustee
                                        (Principal
                                        Executive Officer)
 
                                       Principal and             January 15,
By: _________________________________   Treasurer                    1999
          Thomas J. Higgins             (Principal
                                        Financial and
                                        Accounting Officer)
 
                                       Trustee                   January 15,
By: _________________________________                                1999
       JoAnn Heffernan Heisen
 
                                       Trustee                   January 15,
By: _________________________________                                1999
         Bruce K. MacLaury*
 
                                       Trustee                   January 15,
By: _________________________________                                1999
         Burton G. Malkiel**
 
                                       Trustee                   January 15,
By: _________________________________                                1999
        Alfred M. Rankin, Jr.
 
                                       Trustee                   January 15,
By: _________________________________                                1999
           John C. Sawhill
 
                                       Trustee                   January 15,
By: _________________________________                                1999
         James O. Welch, Jr.
 
                                       Trustee                   January 15,
By: _________________________________                                1999
         J. Lawrence Wilson
 
The above-listed Trustees sit on the Board for each Registrant, except as fol-
 lows:
 
* Mr. MacLaury does not serve as Trustee of Vanguard Municipal Bond Fund,
  Inc., Vanguard Florida Insured Tax-Free Fund, Vanguard California Tax-Free
  Fund, Vanguard New York Tax-Free Fund, Vanguard Pennsylvania Tax-Free Fund,
  Vanguard New Jersey Tax-Free Fund, Vanguard Ohio Tax-Free Fund and Vanguard
  Massachusetts High-Grade Fund.
** Mr. Malkiel does not serve as a Trustee of Vanguard Equity Income Fund.
<PAGE>
 
Vanguard Admiral Funds                    Vanguard Convertible Securities Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Balanced Index Funds             Vanguard Explorer Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard California Tax-Free Funds        Vanguard Florida Insured Tax-Free
                                           Fund
 
By: _________________________________
  Name: John J. Brennan                   By: _________________________________
  Title: Chairman, Chief Executive          Name: John J. Brennan
     Officer and Trustee (Principal         Title: Chairman, Chief Executive
     Executive Officer)                        Officer and Trustee (Principal
                                               Executive Officer)
Vanguard Equity Income Fund
                                          Vanguard Index Funds
 
By: _________________________________
  Name: John J. Brennan                   By: _________________________________
  Title: Chairman, Chief Executive          Name: John J. Brennan
     Officer and Trustee (Principal         Title: Chairman, Chief Executive
     Executive Officer)                        Officer and Trustee (Principal
                                               Executive Officer)
Vanguard Fixed Income Securities
 Funds                                    Vanguard Institutional Index Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Horizon Funds                    Vanguard Massachusetts Tax-Exempt
                                           Funds
 
By: _________________________________
  Name: John J. Brennan                   By: _________________________________
  Title: Chairman, Chief Executive          Name: John J. Brennan
     Officer and Trustee (Principal         Title: Chairman, Chief Executive
     Executive Officer)                        Officer and Trustee (Principal
                                               Executive Officer)
Vanguard Asset Allocation Fund
                                          Vanguard Morgan Growth Fund
 
By: _________________________________
  Name: John J. Brennan                   By: _________________________________
  Title: Chairman, Chief Executive          Name: John J. Brennan
     Officer and Trustee (Principal         Title: Chairman, Chief Executive
     Executive Officer)                        Officer and Trustee (Principal
                                               Executive Officer)
 
Vanguard Bond Index Funds
                                          Vanguard New Jersey Tax-Free Funds
 
By: _________________________________
  Name: John J. Brennan                   By: _________________________________
  Title: Chairman, Chief Executive          Name: John J. Brennan
     Officer and Trustee (Principal         Title: Chairman, Chief Executive
     Executive Officer)                        Officer and Trustee (Principal
                                               Executive Officer)
<PAGE>
 
Vanguard Morgan Growth Fund               Vanguard Quantitative Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Municipal Bond Funds             Vanguard Specialized Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard New Jersey Tax-Free Funds        Vanguard STAR Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard York Tax-Free Funds              Vanguard Tax-Managed Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Ohio Tax-Free Funds              Vanguard Treasury Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Pennsylvania Tax-Free Funds      Vanguard Trustees' Equity Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Preferred Stock Fund             Vanguard Variable Insurance Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
 
Vanguard PRIMECAP Fund                    Vanguard Wellesley Income Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
<PAGE>
 
Vanguard Wellington Fund                  Vanguard Windsor Funds
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
 
Vanguard Whitehall Funds                  Vanguard World Fund
 
 
By: _________________________________     By: _________________________________
  Name: John J. Brennan                     Name: John J. Brennan
  Title: Chairman, Chief Executive          Title: Chairman, Chief Executive
     Officer and Trustee (Principal            Officer and Trustee (Principal
     Executive Officer)                        Executive Officer)
<PAGE>
 
                                  
                               EXHIBIT INDEX     
 
<TABLE>   
<S>                                                                     <C>
Financial Data Schedule................................................ Ex-99.BN
</TABLE>    

<PAGE>
 
[ARTICLE] 6
[CIK] 0000791107
[NAME] VANGUARD CONVERTIBLE SECURITIES FUND
[MULTIPLIER] 1,000
[CURRENCY] US
<TABLE>
<S>                             <C>
[PERIOD-TYPE]                   YEAR
[FISCAL-YEAR-END]                          NOV-30-1997
[PERIOD-START]                             DEC-01-1996
[PERIOD-END]                               NOV-30-1997
[EXCHANGE-RATE]                                      1
[INVESTMENTS-AT-COST]                          187,799
[INVESTMENTS-AT-VALUE]                         192,825
[RECEIVABLES]                                    4,724
[ASSETS-OTHER]                                      13
[OTHER-ITEMS-ASSETS]                                 0
[TOTAL-ASSETS]                                 197,562
[PAYABLE-FOR-SECURITIES]                         3,740
[SENIOR-LONG-TERM-DEBT]                              0
[OTHER-ITEMS-LIABILITIES]                        4,718
[TOTAL-LIABILITIES]                              8,458
[SENIOR-EQUITY]                                      0
[PAID-IN-CAPITAL-COMMON]                       165,762
[SHARES-COMMON-STOCK]                           14,532
[SHARES-COMMON-PRIOR]                           12,988
[ACCUMULATED-NII-CURRENT]                        2,102
[OVERDISTRIBUTION-NII]                               0
[ACCUMULATED-NET-GAINS]                         16,214
[OVERDISTRIBUTION-GAINS]                             0
[ACCUM-APPREC-OR-DEPREC]                         5,026
[NET-ASSETS]                                   189,104
[DIVIDEND-INCOME]                                2,279
[INTEREST-INCOME]                                6,394
[OTHER-INCOME]                                       0
[EXPENSES-NET]                                   1,153
[NET-INVESTMENT-INCOME]                          7,520
[REALIZED-GAINS-CURRENT]                        16,197
[APPREC-INCREASE-CURRENT]                          169
[NET-CHANGE-FROM-OPS]                           23,886
[EQUALIZATION]                                       0
[DISTRIBUTIONS-OF-INCOME]                        6,451
[DISTRIBUTIONS-OF-GAINS]                        16,736
[DISTRIBUTIONS-OTHER]                                0
[NUMBER-OF-SHARES-SOLD]                          3,549
[NUMBER-OF-SHARES-REDEEMED]                      3,766
[SHARES-REINVESTED]                              1,761
[NET-CHANGE-IN-ASSETS]                          19,380
[ACCUMULATED-NII-PRIOR]                          1,033
[ACCUMULATED-GAINS-PRIOR]                       16,753
[OVERDISTRIB-NII-PRIOR]                              0
[OVERDIST-NET-GAINS-PRIOR]                           0
[GROSS-ADVISORY-FEES]                              640
[INTEREST-EXPENSE]                                   0
[GROSS-EXPENSE]                                  1,183
[AVERAGE-NET-ASSETS]                           175,505
[PER-SHARE-NAV-BEGIN]                            13.07
[PER-SHARE-NII]                                   0.53
[PER-SHARE-GAIN-APPREC]                           1.17
[PER-SHARE-DIVIDEND]                              0.47
[PER-SHARE-DISTRIBUTIONS]                         1.29
[RETURNS-OF-CAPITAL]                                 0
[PER-SHARE-NAV-END]                              13.01
[EXPENSE-RATIO]                                   0.67
[AVG-DEBT-OUTSTANDING]                               0
[AVG-DEBT-PER-SHARE]                                 0
</TABLE>


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