UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-CSR

                          CERTIFIED SHAREHOLDER REPORT
                                       OF
                   REGISTERED MANAGEMENT INVESTMENT COMPANIES

Investment Company Act file number: 811-4627

Name of Registrant: Vanguard Convertible Securities Fund

Address of Registrant: P.O. Box 2600
                            Valley Forge, PA 19482

Name and address of agent for service:      R. Gregory Barton, Esquire
                                            P.O. Box 876
                                            Valley Forge, PA 19482

Registrant's telephone number, including area code: (610) 669-1000

Date of fiscal year end:  November 30

Date of reporting period:  December 1, 2002 - May 31, 2003

Item 1: Reports to Shareholders



                                         Vanguard(R) Convertible Securities Fund


Semiannual Report


                                         May 31, 2003




                                        THE VANGUARD GROUP





ETERNAL PRINCIPLES

     Markets change,  but the principles of successful  investing do not. During
the past few years, radical upheaval in the stock market has displayed the power
of this simple truth to dramatic effect.
     In the late 1990s,  stocks  experienced one of the greatest bull markets in
financial  history.  Then, in March 2000,  the longest  downturn since the Great
Depression began.
     In both  bull and bear  markets,  however,  the  principles  of  successful
investing  are  identical:  balance,  diversification,  and  attention to costs.
Balance among stock, bond, and money market funds allows you to pursue long-term
growth while moderating your risk.  Diversification  limits your exposure to the
disasters  that can befall any one security or sector.  Attention to costs means
you keep a larger share of any rewards produced by your investments.
     These principles are timeless. In fact, they're the basis of our very first
mutual  fund--Vanguard(R)  Wellington(TM) Fund, a balanced portfolio established
in 1929. Over time, balance, diversification, and attention to costs have proven
to be the master keys to investment success.


SUMMARY

*    The Convertible Securities Fund returned 12.1% during the first half of its
     2003 fiscal year.

*    The fund's return surpassed that of its average competitor,  but lagged the
     performance of its benchmark index.

*    The fund's strongest-performing holdings were in the beaten-down technology
     and   telecommunications   sectors,   while  its  weakest   were   consumer
     discretionary issues.

CONTENTS

   1    Letter from the Chairman

   5    Report from the Adviser

   8    Fund Profile

   9    Glossary of Investment Terms

  11    Performance Summary

  12    Financial Statements

  20    Advantages of Vanguard.com




- --------------------------------------------------------------------------------
LETTER FROM THE CHAIRMAN                            [PICTURE OF JOHN J. BRENNAN]
                                                                JOHN J. BRENNAN

Fellow Shareholder,

Vanguard Convertible  Securities Fund registered an impressive turnaround during
the first half of its 2003 fiscal year,  returning 12.1%. This result followed a
difficult fiscal 2002 in which the fund declined -8.9%. For the six months ended
May 31, 2003, the fund outpaced both the broad U.S.  stock and bond  markets--as
measured by the Wilshire 5000 Total Market Index and Lehman  Brothers  Aggregate
Bond Index,  respectively--by nearly a two-to-one margin. Investors demonstrated
a  renewed  appetite  for  risk in the  period,  as they  bid up the  prices  of
corporate bonds, particularly lower-rated issues--the domain of many convertible
securities.  The  fund's  return  outpaced  that  of  its  average  mutual  fund
competitor,  but fell somewhat short of the  performance of its benchmark  index
due to the  fund's  underweight  positions  in  some  of the  index's  strongest
performers.


- --------------------------------------------------------------------------------
TOTAL RETURNS                                                   SIX MONTHS ENDED
                                                                    MAY 31, 2003
- --------------------------------------------------------------------------------

Vanguard Convertible Securities Fund                                    12.1%
Average Convertible Securities Fund*                                    11.0
CS First Boston Convertibles Index                                      13.3
Wilshire 5000 Index                                                      5.1
- --------------------------------------------------------------------------------
*Derived from data provided by Lipper Inc.

The table  above  presents  the fund's  return,  along with those of the average
convertible   securities  fund,  the  Credit  Suisse  First  Boston  Convertible
Securities   Index,  and  the  Wilshire  5000  Index.   Details  of  the  fund's
performance, including changes in its net asset value and per-share distribution
amounts, can be found on page 4. The fund's yield on May 31, 2003, was 3.91%, 18
basis points (0.18 percentage point) lower than its yield on November 30, 2002.

STOCKS LEAPED FORWARD AFTER A WEAK START
U.S. stocks  initially  drifted lower during the six-month  period,  but began a
rally at the start of the Iraqi war in mid-March that continued  through the end
of May. The overall U.S.  stock market,  as measured by the Wilshire 5000 Index,
gained  5.1%:  A loss of 9.5%  during the first  three  months of the period was
followed by a return of 16.1% in the next three months. Fueling this advance was
the swift and successful conclusion of the war as well as the continued strength
of consumer spending and the residential housing market. However, the job market
and manufacturing data showed ongoing signs of weakness.


                                       1

- --------------------------------------------------------------------------------
MARKET BAROMETER                                                   TOTAL RETURNS
                                                      PERIODS ENDED MAY 31, 2003
                                                      --------------------------
                                                           SIX     ONE      FIVE
                                                        MONTHS    YEAR    YEARS*
- --------------------------------------------------------------------------------
Russell 1000 Index (Large-caps)                           4.6%   -7.7%     -0.8%
Russell 2000 Index (Small-caps)                            9.3   -8.2       0.6
Wilshire 5000 Index (Entire market)                        5.1   -7.2      -0.9
MSCI All Country World Index Free
  ex USA (International)                                   4.6  -10.8      -3.4
- --------------------------------------------------------------------------------
Lehman Aggregate Bond Index                               6.3%   11.6%      7.8%
  (Broad taxable market)
Lehman Municipal Bond Index                                6.5    10.4      6.5
Citigroup 3-Month Treasury Bill Index                      0.6     1.5      4.0
================================================================================
Consumer Price Index                                      1.2%    2.1%      2.4%
- --------------------------------------------------------------------------------
*Annualized.

     Overall, the returns of small-capitalization  stocks, as represented by the
Russell 2000 Index,  outpaced those of the large-cap  stocks in the Russell 1000
Index. Across the market-cap spectrum,  value stocks (those that generally trade
at below-market  valuations relative to their book values) produced returns that
were  modestly  better  than the  results of growth  stocks  (those  expected to
produce above- average earnings growth).
     International  equity  markets  were mixed.  Pacific  markets--particularly
Japan--experienced  poor results,  while  European and most  non-Asian  emerging
markets produced  respectable  returns when measured in U.S.  dollars.

INTEREST RATES  CONTINUED  THEIR  DOWNWARD MARCH
The U.S. bond markets generated strong results. The Lehman Aggregate Bond Index,
a proxy for the broad  investment-grade bond market,  returned 6.3%. Bond prices
rose as interest rates declined even further from the 40-year lows at which they
began the period.  At the short-term end of the fixed income maturity range, the
yield  of the  3-month  U.S.  Treasury  bill--a  fair  proxy  for  money  market
yields--fell  11 basis points (0.11  percentage  point) during the six months to
1.10%.  Longer-term  interest  rates  followed suit, as the yield of the 10-year
Treasury  note  approached  an all-time  low,  declining  84 basis  points (0.84
percentage point) to 3.37%.
     The  performance  of  corporate  bonds was  especially  strong.  Across all
maturities,  corporate debt outperformed  Treasuries.  And the riskiest of bonds
carried the biggest rewards during the six months.  The Lehman High Yield Index,
which  tracks the  performance  of bonds that are issued by  companies  with low
credit ratings, returned 16.8% for the period.

- ----------------------
Corporate bonds
enjoyed  particularly
solid performance,
outpacing  Treasuries
across all maturities.
- ----------------------
                                       2

                                                          ----------------------
                                                                Buoyed by strong
                                                                 equity markets,
                                                               the fund achieved
                                                                   its strongest
                                                                      six- month
                                                                       result in
                                                               over three years.
                                                          ----------------------


A PROFITABLE PERIOD PUNCTUATED BY SOLID SECURITY SELECTION
Buoyed by the strong  performance  of the equity  markets  in this  period,  the
Convertible  Securities Fund--which holds securities that are a hybrid of stocks
and  bonds--achieved  its best six-month result in more than three years.
     During the six months,  investors  showed that they were once again willing
to take  greater risk in search of returns,  bidding up many of the  lower-rated
securities  that  populate the  convertibles  universe.  Your fund's  technology
holdings,  which had been among its poorest-performing  securities in the recent
past,  experienced  a  resurgence.  Indeed,  a number  of  companies  found  the
environment  conducive to issuing new convertibles to secure  financing.  At the
other extreme,  the fund's consumer  discretionary  holdings--one of its largest
sectors,  on  average--were  poor  performers  for  the  fund,  as  well  as for
convertible  investors in general.
     Although  convertible  securities  represent  a very  small  portion of the
investment universe, the fund's adviser, Oaktree Capital Management,  strives to
maintain broad diversification  across sectors and industries.  Oaktree seeks to
capitalize  on the  returns of  convertible  securities  that have an  imbalance
between  upside  potential and downside risk.  Within this context,  the adviser
succeeded  in making  solid  security  picks  during the past six  months.  More
details  about the fund's  strategy and  performance  are in the Report from the
Adviser on page 5.
     The fund has earned respectable returns in the past, and we have confidence
in its ability to continue to do so over the long run. This confidence stems not
only from the  demonstrated  talents of the adviser  but also from our  low-cost
advantage.  The  fund's  annualized  expense  ratio  (operating  expenses  as  a
percentage of average net assets) of 0.92%, or $9.20 per $1,000  invested,  is a
little less than  two-thirds the 1.49% ($14.90 per $1,000  invested)  charged by
the average peer fund. Over time, this cost advantage allows you to keep more of
the fund's gross  returns in your account,  where they can continue  working for
you.

A SIMPLE  STRATEGY  FOR  LONG-TERM  SUCCESS
The stock and bond markets' constant up-and-down  movements are unpredictable to
even the most  knowledgeable  investor.  However,  the best way to weather  this
day-to-day  volatility is to choose a mix of stock, bond, and money market funds
that is consistent with your unique circumstances and goals, and then sit tight.



                                       3




As part of your long-term assets,  Vanguard Convertible Securities Fund can play
an  important  role.  Because  it shares  some  characteristics  of both  stocks
(potential  for capital  appreciation)  and bonds  (potential  for  income),  it
provides diversification that can aid your efforts to balance risk and return in
your portfolio.  We thank you for your continuing  confidence and for entrusting
your hard-earned assets to us.


Sincerely,


/S/ JOHN J. BRENNAN
John J. Brennan
Chairman and Chief Executive Officer
June 12, 2003

- --------------------------------------------------------------------------------
YOUR FUND'S PERFORMANCE AT A GLANCE               NOVEMBER 30, 2002-MAY 31, 2003

                                                         DISTRIBUTIONS PER SHARE
                                                        ------------------------

                                    STARTING       ENDING      INCOME    CAPITAL
                                 SHARE PRICE  SHARE PRICE   DIVIDENDS      GAINS
- --------------------------------------------------------------------------------
Convertible Securities Fund          $10.57        $11.61       $0.22      $0.00
- --------------------------------------------------------------------------------

                                       4


- --------------------------------------------------------------------------------
REPORT FROM THE ADVISER

Your investment in Vanguard Convertible Securities Fund produced strong absolute
and good relative performance in the first six months of the fund's 2003 fiscal
year. During this period, the fund outperformed most of the well-known equity
and bond market indexes. However, the fund's significant outperformance versus
common stocks should be considered unusual as convertible securities normally
lag in a short-term equity advance.
     The fund's  12.1%  return for the  period  was  slightly  below that of its
primary index, the CS First Boston Convertibles Index (13.3%), but well ahead of
the Goldman  Sachs/Bloomberg  US  Convertible  100 Index (8.7%),  another widely
followed  convertibles  benchmark.  The fund's  performance  benefited  from two
important  factors.  First,  there was a dramatic  tightening in credit  spreads
within the fixed income  market--that  is, the difference  between the yields of
corporate and government  securities  with the same  maturities  became smaller.
Second, the fund offered a relatively high level of current yield.


THE INVESTMENT ENVIRONMENT
The investment environment for the first six months of fiscal 2003 was, in many
ways, opposite from that in the last six months of fiscal 2002. While the prior
period was generally characterized by rampant pessimism and a focus on the
negative investing factors, the first several months of 2003 were characterized
by increasing optimism, which pushed equity prices substantially higher and
drove interest rates to new 40-year lows. This dramatic reversal of investor
sentiment occurred in an unusually short period.
     The strongest influence on the convertible  securities market was the sharp
contraction in credit spreads, which gave a tremendous boost to the fixed income
component of  convertibles.  We believe  this  occurred for a number of reasons:
positive changes in corporate governance; corporations' working to improve their
balance  sheets;  and  managements'  focusing  on cutting  costs  rather than on
investing for growth.  In addition,  many assets were written  down,  equity was
issued,  noncore  assets  were or are in the  process  of being  sold,  and debt
maturities were extended. Of course, the retrenchment

- --------------------------------------------------------------------------------
INVESTMENT PHILOSOPHY
The adviser  believes  that a reasonable  level of current  income and long-term
growth in capital can be achieved by investing in a broadly diversified group of
convertible  securities that provide  attractive  combinations of current income
and  potential  for price  appreciation  from their  convertibility  into common
stock.
- --------------------------------------------------------------------------------

                                       5



of spending has potentially negative implications for future corporate earnings,
but,  nevertheless,  these structural  factors were very helpful in changing the
psychology of investors in the fiscal half-year.

The tightening of credit spreads had the greatest impact on speculative-grade
issues, with these securities far outperforming the investment-grade portion of
the market. Leading the pack of top performers for the period were convertibles
from Lucent Technologies, Calpine, Nortel Networks, and Corning, as well as
other beaten-down technology and telecommunications issues. Despite a very
lackluster fundamental environment, the technology sector was, far and away, the
biggest contributor to the CS First Boston Convertibles Index's return. The
weakest performers in the convertibles market were generally issues in the
consumer discretionary sector. Among the largest losers were Fleming Companies
and HealthSouth. The HealthSouth bonds were quite a debacle, dropping from 99.50
to 15.00 (i.e., $995 to $150 on a $1,000 issue) just two weeks before they were
scheduled to mature at par. Fortunately, we did not own either of these issues.
     The demand for convertibles  remains strong, as a wide variety of investors
are drawn to their performance  characteristics.  At this time, demand continues
to  exceed  supply,  and we are  seeing  prices  of many  existing  issues  rise
significantly when a large buyer enters the market.  Scarcity value is playing a
major role in generating unprecedented demand for newly issued convertibles.  In
fact,  many new deals are being  accelerated in their timing and/or upsized from
their  original  amounts.  One  of the  factors  that  has  boosted  demand  for
convertibles is the reemergence of closed-end  funds that invest in combinations
of convertible  securities,  straight  preferred  stocks,  and high-yield bonds.
Several of these yield-oriented funds have been formed over the past few months,
raising approximately $3 billion.


THE FUND'S SUCCESSES
The tightening of credit spreads, noted earlier,  helped the fund's performance.
However, the impact was limited by our usual focus on balanced, or total return,
convertibles.  As you know, we typically sell convertibles when they become pure
"bond substitutes," and this practice restrained the impact of spread tightening
on our  portfolio.  Some of our top  performers  were  EchoStar  Communications,
Nextel  Communications,  Teva  Pharmaceutical  Industries,  and Allergan.  Other
relatively strong performers were Gilead Sciences,  UTStarcom,  and Titan. There
were  no  significant  underperforming  securities  or  credit  concerns  in the
portfolio.


                                       6


THE FUND'S SHORTFALLS
While  we  were  pleased  with  our  return  for  the  period,  we did  slightly
underperform  our  benchmark  index.  This  was  due  to our  underweighting  in
depressed tech and telecom issues--which, in spite of their very high conversion
premiums,  were  very  strong  performers  as  a  result  of  the  credit-spread
rally--and  the  fact  that  we  didn't  hold  certain   securities   that  were
above-average  performers  in the  CS  First  Boston  Convertibles  Index.  This
included  the  index's  largest  holding,   the  Ford  Motor  6.50%  convertible
preferred,  which performed well during the period.  We also chose not to invest
in Gap,  another large holding of the index that performed  relatively well. The
recovery in the  fundamentals of Gap was stronger than we had  anticipated.

OUR POSITION
Although the terms of new issues are generally  becoming less  alluring,  we are
finding selective new issues attractive and numerous investment opportunities in
the  secondary  market.  We remain fully  invested  and believe our  portfolio's
downside protection qualities remain intact, with a current mix of approximately
82% convertible bonds and 18% convertible  preferred  securities.  This downside
protection is also a function of our above-average  conversion premiums,  which,
of course,  could restrain our near-term gains if the equity market continues to
advance. Overall, we remain positive about the current investing environment and
believe the fund is well  positioned  to achieve its  objectives.


Larry  Keele,
Portfolio Manager Oaktree Capital Management,

LLC June 17, 2003


                                       7

- --------------------------------------------------------------------------------
Fund Profile                                                  As of May 31, 2003

This Profile provides a snapshot of the fund's  characteristics,  compared where
appropriate with a broad market index. Key terms are defined on pages 9-10.


Convertible Securities Fund
- --------------------------------------------------------------------------------
PORTFOLIO CHARACTERISTICS


Number of Securities                                     92
Yield                                                  3.9%
Conversion Premium                                    56.5%
Average Weighted Maturity                         4.5 years
Average Coupon                                         3.8%
Average Quality                                          BB
Average Duration                                  3.3 years
Foreign Holdings                                      14.3%
Turnover Rate                                         107%*
Expense Ratio                                        0.92%*
Cash Investments                                       4.1%

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

- -----------------------------------------------------------
VOLATILITY MEASURES

                                                   Wilshire
                                           Fund        5000
- -----------------------------------------------------------
R-Squared                                      0.69    1.00
Beta                                           0.66    1.00
- -----------------------------------------------------------

- -----------------------------------------------------------
Distribution by Maturity (% of bonds)

Under 1 Year                                           2.9%
1-5 Years                                             63.8
5-10 Years                                            33.3
10-20 Years                                            0.0
20-30 Years                                            0.0
Over 30 Years                                          0.0
- -----------------------------------------------------------
Total                                                100.0%

- -----------------------------------------------------------
Distribution by Credit Quality (% of bonds)

Aaa/AAA                                                0.8%
Aa/AA                                                  0.0
A/A                                                    3.0
Baa/BBB                                               15.1
Ba/BB                                                 21.4
B/B                                                   36.5
Below B/B                                              8.1
Not Rated                                             15.1
- -----------------------------------------------------------
Total 100.0%
- -----------------------------------------------------------

Ten Largest Holdings (% of total net assets)

Tyco International Group SA                            4.4%
  (conglomerate)
EchoStar Communications Inc.                           4.1
  (telecommunications)
Nextel Communications, Inc.                            3.9
  (telecommunications)
Sealed Air Corp.                                       3.6
  (manufacturing)
Freeport-McMoRan Copper & Gold, Inc.                   3.3
  (metals and mining)
Teva Pharmaceutical Industries, Ltd.                   3.0
  (pharmaceuticals)
Service Corp. International                            2.9
  (diversified services)
Nortel Networks Corp.                                  2.8
  (telecommunications)
Liberty Media Corp.                                    2.6
  (media)
Calpine Corp.                                          2.5
  (utilities)
- -----------------------------------------------------------
Top Ten                                               33.1%
- -----------------------------------------------------------
The "Ten Largest  Holdings"  excludes any temporary cash  investments and equity
index products.


*Annualized

                                                            Visit our website at
                                                                www.vanguard.com
                                         for regularly updated fund information.


Sector Diversification table is on the next page.


                                       8



Fund Profile (continued)
- -----------------------------------------------------------
Sector Diversification (% of portfolio)

Auto & Transportation                                   8.5%
Consumer Discretionary                                 20.7
Consumer Staples                                        1.3
Financial Services                                      6.8
Health Care                                            13.7
Integrated Oils                                         0.0
Other Energy                                            1.3
Materials & Processing                                  9.2
Producer Durables                                       9.4
Technology                                             19.5
Utilities                                               5.5
- -----------------------------------------------------------
Cash Investments                                       4.1%
- -----------------------------------------------------------



- --------------------------------------------------------------------------------
Glossary of Investment Terms

AVERAGE COUPON. The average interest rate paid on the securities held by a fund.
It is expressed as a percentage of face value.
- --------------------------------------------------------------------------------
AVERAGE DURATION. An estimate of how much a fund's share price will fluctuate in
response  to a change  in  interest  rates.  To see how the price  could  shift,
multiply the fund's  duration by the change in rates.  If interest rates rise by
one percentage point, the share price of a fund with an average duration of five
years would decline by about 5%. If rates  decrease by a percentage  point,  the
fund's share price would rise by 5%.
- --------------------------------------------------------------------------------
AVERAGE QUALITY.  An indicator of credit risk, this figure is the average of the
ratings  assigned to a fund's holdings by credit-rating  agencies.  The agencies
make  their  judgment  after   appraising  an  issuer's   ability  to  meet  its
obligations.  Quality is graded on a scale,  with Aaa or AAA indicating the most
creditworthy bond issuers.
- --------------------------------------------------------------------------------
AVERAGE WEIGHTED MATURITY. The average length of time until securities held by a
fund reach maturity (or are called) and are repaid.  In general,  the longer the
average  weighted  maturity,  the more a fund's  share price will  fluctuate  in
response to changes in market interest rates.
- --------------------------------------------------------------------------------
BETA. A measure of the magnitude of a fund's past  share-price  fluctuations  in
relation  to the ups and  downs of a  comparative  index and an  overall  market
index.  Each index is assigned a beta of 1.00.  Compared  with a given index,  a
fund with a beta of 1.20 typically  would have seen its share price rise or fall
by 12% when the index  rose or fell by 10%.  However,  a fund's  beta  should be
reviewed in conjunction with its R-squared (see definition below). The lower the
R-squared, the less correlation there is between the fund and the benchmark, and
the less reliable beta is as an indicator of volatility.
- --------------------------------------------------------------------------------

                                       9



CASH  INVESTMENTS.  The  percentage  of a fund's  net assets  invested  in "cash
equivalents"--highly liquid, short-term, interest-bearing securities.
- --------------------------------------------------------------------------------
CONVERSION PREMIUM.  The average percentage by which the weighted average market
price of the convertible  securities held by a fund exceeds the weighted average
market price of their  underlying  common  stocks.  For  example,  if a stock is
trading at $25 per share and a bond  convertible  into the stock is trading at a
price  equivalent  to $30 per  share of stock,  the  conversion  premium  is 20%
($54$25=20%).
- --------------------------------------------------------------------------------
EXPENSE  RATIO.  The  percentage of a fund's  average net assets used to pay its
annual  administrative  and advisory  expenses.  These expenses  directly reduce
returns to investors.
- --------------------------------------------------------------------------------
FOREIGN  HOLDINGS.  The  percentage  of  a  fund's  net  assets  represented  by
securities of companies based outside the United States.
- --------------------------------------------------------------------------------
R-SQUARED.  A measure of how much of a fund's past  returns can be  explained by
the returns from the market in general,  as measured by an overall market index.
If a fund's total returns were precisely  synchronized  with an index's returns,
its R-squared  would be 1.00. If the fund's returns bore no  relationship to the
index's returns, its R-squared would be 0.
- --------------------------------------------------------------------------------
TURNOVER  RATE. An indication of the fund's  trading  activity.  Funds with high
turnover rates incur higher  transaction costs and are more likely to distribute
capital gains (which are taxable to investors).
- --------------------------------------------------------------------------------
Yield.  A snapshot of a fund's  income from interest and  dividends.  The yield,
expressed  as a  percentage  of the fund's net asset  value,  is based on income
earned over the past 30 days and is  annualized,  or  projected  forward for the
coming year.
- --------------------------------------------------------------------------------


                                       10




- --------------------------------------------------------------------------------
Performance Summary As of May 31, 2003

All of the returns in this report  represent past  performance,  which cannot be
used to predict future returns that may be achieved by the fund. Note, too, that
both share price and return can fluctuate  widely.  An investor's  shares,  when
redeemed,  could be worth more or less than their  original  cost.  The  returns
shown do not reflect taxes that a shareholder would pay on fund distributions or
on the redemption of fund shares.

CONVERTIBLE SECURITIES FUND
- --------------------------------------------------------------------------------
FISCAL-YEAR TOTAL RETURNS (%) NOVEMBER 30, 1992-MAY 31, 2003

FISCAL YEAR       CONVERTIBLE SECURITIES FUND    FIRST BOSTON CONVERTIBLES INDEX
     1993               13.9%                           19.2%
     1994                -4.4                            -3.9
     1995                17.1                            24.0
     1996                14.9                            15.3
     1997                14.8                            15.4
     1998                -2.2                             1.4
     1999                24.8                            30.6
     2000                 5.3                             1.5
     2001                 4.0                            -3.6
     2002                -8.9                            -5.9
    2003*                12.1                            13.3
- --------------------------------------------------------------------------------
*Six months ended May 31, 2003.
Note: See Financial  Highlights  table on page 17 for dividend and capital gains
information.

Average Annual Total Returns for periods ended March 31, 2003

This table  presents  average annual total returns  through the latest  calendar
quarter--rather  than  through  the end of the  fiscal  period.  Securities  and
Exchange Commission rules require that we provide this information.

                                                              TEN YEARS
                                            ONE   FIVE  ------------------------
                           INCEPTION DATE  YEAR  YEARS  CAPITAL   INCOME   TOTAL
- --------------------------------------------------------------------------------
Convertible Securities Fund  6/17/1986   -3.81%  2.29%    2.58    4.52%    7.10%
- --------------------------------------------------------------------------------

                                       11



- --------------------------------------------------------------------------------
FINANCIAL STATEMENTS                                    May 31, 2003 (unaudited)

STATEMENT OF NET ASSETS
This Statement provides a detailed list of the fund's holdings, including each
security's market value on the last day of the reporting period. Securities are
grouped and subtotaled by asset type (common stocks, bonds, etc.) and by
industry sector. Other assets are added to, and liabilities are subtracted from,
the value of Total Investments to calculate the fund's Net Assets. Finally, Net
Assets are divided by the outstanding shares of the fund to arrive at its share
price, or Net Asset Value (NAV) Per Share.
     At the end of the Statement of Net Assets, you will find a table displaying
the  composition  of the fund's net assets.  Because all income and any realized
gains must be  distributed  to  shareholders  each year,  the bulk of net assets
consists of Paid-in Capital (money invested by shareholders).  The amounts shown
for  Undistributed  Net  Investment  Income and  Accumulated  Net Realized Gains
usually   approximate   the  sums  the  fund  had  available  to  distribute  to
shareholders as income  dividends or capital gains as of the statement date, but
may  differ  because  certain   investments  or  transactions   may  be  treated
differently  for  financial  statement  and tax purposes.  Any  Accumulated  Net
Realized Losses,  and any cumulative excess of distributions  over net income or
net realized gains, will appear as negative  balances.  Unrealized  Appreciation
(Depreciation)  is the  difference  between  the  market  value  of  the  fund's
investments  and their  cost,  and  reflects  the gains  (losses)  that would be
realized if the fund were to sell all of its investments at their statement-date
values.

                                                       Face               Market
                                                     Amount               Value*
CONVERTIBLE SECURITIES FUND                           (000)                (000)
- --------------------------------------------------------------------------------
CONVERTIBLE BONDS (78.3%)
- --------------------------------------------------------------------------------
Auto & Transportation (7.6%)
AirTran Holdings, Inc.
  (1) 7.00%, 7/1/2023                               $ 2,300                2,622
Continental Airlines, Inc.
  4.50%, 2/1/2007                                    15,900               11,309
General Motors Corp.
  4.50%, 3/6/2032                                       192                4,783
Navistar Financial Corp.
  4.75%, 4/1/2009                                     8,370                7,669
Navistar International Corp.
  (1) 2.50%, 12/15/2007                               7,295                8,608
  2.50%, 12/15/2007                                   1,635                1,929
United Parcel Service, Inc.
  1.75%, 9/27/2007                                    4,050                4,101
                                                                        --------
                                                                          41,021
                                                                        --------
Consumer Discretionary (17.0%)
Avon Products, Inc.
  0.00%, 7/12/2020                                    7,865                4,257
EchoStar Communications Inc.
  (1) 5.75%, 5/15/2008                                  740                  793
  5.75%, 5/15/2008                                   19,840               21,263
Global Imaging Systems, Inc.
  (1) 4.00%, 11/15/2008                                 350                  392
IKON Office Solutions, Inc.
  (1) 5.00%, 5/1/2007                                 2,600                2,574
Lamar Advertising Co.
  5.25%, 9/15/2006                                    1,800                1,834
Liberty Media Corp.
  (1) 0.75%, 3/30/2023                               12,235               13,810
J.C. Penney & Co., Inc.
  5.00%, 10/15/2008                                 $ 4,550                4,533
The Pep Boys (Manny, Moe & Jack)
  (1) 4.25%, 6/1/2007                                   855                  795
Royal Caribbean Cruises Ltd.
  0.00%, 5/18/2021                                   13,733                6,180
Service Corp. International
  6.75%, 6/22/2008                                   14,750               15,414
Triarc Cos., Inc.
  (1) 5.00%, 5/15/2023                                9,610               10,187
Waste Connections, Inc.
  (1) 5.50%, 4/15/2006                                3,255                3,747
  5.50%, 4/15/2006 2,740 3,154
XM Satellite Radio Holdings Inc.
  7.75%, 3/1/2006 2,458 2,925                                           --------
                                                                          91,858
                                                                        --------
CONSUMER STAPLES (1.3%)
NCO Group, Inc.
  4.75%, 4/15/2006                                    6,000                5,993
Performance Food Group Co.
  5.50%, 10/16/2008                                     915                1,187
                                                                        --------
                                                                           7,180
                                                                        --------
FINANCIAL SERVICES (0.9%)
Providian Financial Corp.
  3.25%, 8/15/2005                                    5,000                4,600
                                                                        --------
Health Care (13.7%)
Allergan, Inc.
  (1) 0.00%, 11/6/2022                                4,335                4,172
  0.00%, 11/6/2022                                    2,500                2,406

                                       12

- --------------------------------------------------------------------------------
                                                       Face               Market
                                                     Amount               Value*
                                                      (000)                (000)
- --------------------------------------------------------------------------------
Axcan Pharma Inc.
  (1) 4.25%, 4/15/2008                              $ 7,400                9,296
Celgene Corp.
  (1) 1.75%, 6/1/2008                                 3,410                3,495
Cephalon, Inc.
  5.25%, 5/1/2006                                       640                  663
DaVita Inc.
  7.00%, 5/15/2009                                    1,955                2,045
Gilead Sciences, Inc.
  (1) 2.00%, 12/15/2007                               8,115               10,671
Health Management Assoc.
  0.25%, 8/16/2020                                    2,500                1,628
Ivax Corp.
  5.50%, 5/15/2007                                    3,425                3,438
Sunrise Assisted Living, Inc.
  (1) 5.25%, 2/1/2009                                 1,570                1,617
  5.25%, 2/1/2009 8,725 8,987
Teva Pharmaceutical Industries, Ltd.
  0.75%, 8/15/2021                                   12,825               16,127
Total Renal Care Holdings
  5.625%, 7/15/2006                                   1,660                1,745
Universal Health Services, Inc.
  (1) 0.426%, 6/23/2020                              10,005                6,341
   0.426%, 6/23/2020                                  2,290                1,451
                                                                        --------
                                                                          74,082
                                                                        --------
OTHER ENERGY (1.0%)
Pride International, Inc.
  (1) 2.50%, 3/1/2007                                 4,020                5,241
                                                                        --------

MATERIALS & Processing (4.1%)
Freeport-McMoRan Copper & Gold, Inc.
  (1) 7.00%, 2/11/2011                                6,160                7,330
  7.00%, 2/11/2011                                    1,900                2,261
Inco Ltd.
  0.00%, 3/29/2021                                   18,401               12,444
                                                                        --------
                                                                          22,035
                                                                        --------

PRODUCER DURABLES (8.6%)
ARRIS Group, Inc.
  (1) 4.50%, 3/15/2008                                2,510                3,316
Briggs & Stratton Corp.
  (1) 5.00%, 5/15/2006                                1,705                1,929
  5.00%, 5/15/2006                                    5,870                6,640
DuPont Photomasks, Inc.
  (1) 1.25%, 5/15/2008                                3,030                3,254
Photronics, Inc.
  (1) 2.25%, 4/15/2008                                4,650                6,196
  4.75%, 12/15/2006                                   1,470                1,424
Tyco International Group SA
  (1) 2.75%, 1/15/2018                               22,160               23,799
                                                                        --------
                                                                          46,558
- --------------------------------------------------------------------------------
                                                       Face               Market
                                                     Amount               Value*
                                                      (000)                (000)
- --------------------------------------------------------------------------------
TECHNOLOGY (19.5%)
Acxiom Corp.
  (1) 3.75%, 2/15/2009                              $ 2,200                2,483
  3.75%, 2/15/2009                                    4,280                4,831
Anixter International, Inc.
  0.00%, 6/28/2020                                    2,020                  657
Benchmark Electronics, Inc.
  6.00%, 8/15/2006                                    3,940                4,088
Checkpoint Systems, Inc.
  5.25%, 11/1/2005                                    2,577                2,587
Corning, Inc.
  3.50%, 11/1/2008                                   11,000               12,169
Documentum, Inc.
 (1) 4.50%, 4/1/2007                                  3,760                4,131
EDO Corp.
  (1) 5.25%, 4/15/2007                                  745                  740
  5.25%, 4/15/2007                                    1,000                  994
General Semiconductor Corp.
  5.75%, 12/15/2006                                   1,315                1,336
HNC Software, Inc.
  (1) 5.25%, 9/1/2008                                 2,005                2,459
Hutchinson Technology, Inc.
  (1) 2.25%, 3/15/2010                                1,520                1,856
Lucent Technologies, Inc.
  2.75%, 6/15/2023                                    4,900                4,936
MSC.Software Corp.
  (1) 2.50%, 5/5/2008                                 4,145                4,394
Micron Technology, Inc.
  (1) 2.50%, 2/1/2010                                 8,250                9,900
Network Associates, Inc.
  5.25%, 8/15/2006                                    6,415                7,065
Nextel Communications, Inc.
  4.75%, 7/1/2007                                     1,355                1,333
  6.00%, 6/1/2011                                    18,960               19,813
Nortel Networks Corp.
  4.25%, 9/1/2008                                    17,650               15,135
UTStarcom, Inc.
 (1) 0.875%, 3/1/2008                                 2,865                4,118
                                                                        --------
                                                                         105,025
                                                                        --------
Utilities (4.6%)
Calpine Corp.
  4.00%, 12/26/2006                                  16,560               13,352
Mediacom Communications Corp.
  5.25%, 7/1/2006                                     5,250                4,902
Mirant Corp.
  5.75%, 7/15/2007                                    2,145                1,662
Nextel Partners, Inc.
  (1) 1.50%, 11/15/2008                               5,035                5,098
                                                                        --------
                                                                          25,014
- --------------------------------------------------------------------------------
TOTAL CONVERTIBLE BONDS
  (Cost $386,103)                                                        422,614
- --------------------------------------------------------------------------------


                                       13

                                                       Face               Market
                                                     Amount               Value*
CONVERTIBLE SECURITIES FUND                           (000)                (000)
- --------------------------------------------------------------------------------
CONVERTIBLE PREFERRED STOCKS (17.6%)
- --------------------------------------------------------------------------------
Auto & Transportation (0.9%)
  Kansas City Southern
  (1) 4.25% Cvt. Pfd.                                 2,200                1,168
  Union Pacific
    6.25% Cvt. Pfd.                                  73,257                3,773
                                                                        --------
                                                                           4,941
                                                                        --------
CONSUMER DISCRETIONARY (3.6%)
  Allied Waste Industries, Inc.
    6.25% Cvt. Pfd.                                 151,900                8,962
  Host Marriott Corp.
    6.75% Cvt. Pfd.                                  85,000                3,506
  Newell Rubbermaid
    5.25% Cvt. Pfd.                                  37,322                1,782
  Radio One, Inc.
    6.50% Cvt. Pfd.                                   5,000                5,219
                                                                        --------
                                                                          19,469
                                                                        --------
FINANCIAL SERVICES (6.0%)
  Commerce Capital Trust II
    5.95% Cvt. Pfd.                                  61,600                3,326
    (1) 5.95% Cvt. Pfd.                              76,400                4,126
  New York Community Bancorp
    6.00% Cvt. Pfd.                                  94,900                5,789
  Reinsurance Group of America, Inc.
    5.75% Cvt. Pfd.                                 100,000                5,415
  United Rentals
    6.50% Cvt. Pfd.                                 197,800                6,799
  Washington Mutual, Inc.
    (1) 5.375% Cvt. Pfd.                            118,100                6,850
                                                                        --------
                                                                           2,305
                                                                        --------
OTHER ENERGY (0.3%)
  Williams Cos., Inc.
  (1) 5.50% Cvt. Pfd.                                31,700                1,696
                                                                        --------
MATERIALS & PROCESSING (5.1%)
  Freeport-McMoRan Copper & Gold, Inc.
    7.00% Cvt. Pfd.                                 330,100                8,055
  Sealed Air Corp.
    $2.00 Cvt. Pfd.                                 397,900               19,617
                                                                        --------
                                                                          27,672
                                                                        --------
Producer Durables (0.8%)
  Northrop Grumman Corp.
    7.00% Cvt. Pfd.                                  33,100                4,064
Utilities (0.9%)
  Dominion Resources, Inc.
    9.50% Cvt. Pfd.                                  81,100                4,724
                                                                        --------
- --------------------------------------------------------------------------------
TOTAL CONVERTIBLE PREFERRED STOCKS
  (Cost $85,030)                                                          94,871
- --------------------------------------------------------------------------------


                                                       Face               Market
                                                     Amount               Value*
                                                      (000)                (000)
- --------------------------------------------------------------------------------
TEMPORARY CASH INVESTMENTS                          (13.7%)
- --------------------------------------------------------------------------------
Repurchase Agreements
Collateralized by U.S. Government
  Obligations in a Pooled Cash Account
  1.33%, 6/2/2003                                   $26,204              $26,204
  1.33%, 6/2/2003--Note G                            47,765               47,765
- --------------------------------------------------------------------------------
TOTAL TEMPORARY CASH INVESTMENTS
  (Cost $73,969)                                                          73,969
- --------------------------------------------------------------------------------
TOTAL INVESTMENTS (109.6%)
  (Cost $545,102)                                                        591,454
- --------------------------------------------------------------------------------
OTHER ASSETS AND LIABILITIES (-9.6%)
- --------------------------------------------------------------------------------
Other Assets--Note C                                                       9,157
Security Lending Collateral
  Payable to Brokers--Note G                                            (47,765)
Other Liabilities                                                       (13,265)
                                                                        --------
                                                                        (51,873)
                                                                        --------
- --------------------------------------------------------------------------------
NET ASSETS (100%)
- --------------------------------------------------------------------------------
Applicable to 46,473,313 outstanding $.001
  par value shares of beneficial interest
  (unlimited authorization)                                             $539,581
================================================================================

NET ASSET VALUE PER SHARE                                                 $11.61
================================================================================
*See Note A in Notes to Financial Statements.
(1)Securities  exempt from registration under Rule 144A of the Securities Act of
1933.  These  securities may be sold in transactions  exempt from  registration,
normally to qualified institutional buyers. At May 31, 2003, the aggregate value
of these securities was $179,204,000, representing 33.2% of net assets.

- --------------------------------------------------------------------------------
AT MAY 31, 2003, NET ASSETS CONSISTED OF:
- --------------------------------------------------------------------------------
                                                         Amount              Per
                                                          (000)            Share
- --------------------------------------------------------------------------------

Paid-in Capital                                         $565,27           $12.16
Undistributed Net
  Investment Income                                       2,766               06
Accumulated
  Realized Losses                                      (74,810)             1.61
Unrealized Appreciation                                 46,3521             1.00
- --------------------------------------------------------------------------------
NET ASSETS                                             $539,58$            11.61
================================================================================
See Note E in Notes to Financial  Statements for the tax-basis components of net
assets.


                                       14





STATEMENT OF OPERATIONS

This Statement shows the types of income earned by the fund during the reporting
period,  and details the operating  expenses charged to the fund. These expenses
directly reduce the amount of investment income available to pay to shareholders
as income  dividends.  This Statement also shows any Net Gain (Loss) realized on
the  sale of  investments,  and  the  increase  or  decrease  in the  Unrealized
Appreciation (Depreciation) of investments during the period.


                                                     Convertible Securities Fund
                                                   Six Months Ended May 31, 2003
                                                                           (000)
- --------------------------------------------------------------------------------
INVESTMENT INCOME
Income
  Dividends                                                              $ 2,269
  Interest                                                                 6,538
  Security Lending                                                            40
- --------------------------------------------------------------------------------
Total Income                                                               8,847
- --------------------------------------------------------------------------------
Expenses
  Investment Advisory Fees--Note B
    Basic Fee                                                                763
    Performance Adjustment                                                   317
  The Vanguard Group--Note C
    Management and Administrative                                            592
    Marketing and Distribution                                                20
  Custodian Fees                                                               7
  Shareholders' Reports and Proxies                                           18
- --------------------------------------------------------------------------------
    Total Expenses                                                         1,717
    Expenses Paid Indirectly--Note D                                         (3)
- --------------------------------------------------------------------------------
Net Expenses                                                               1,714
- --------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                      7,133
- --------------------------------------------------------------------------------
REALIZED NET GAIN (LOSS) ON INVESTMENT SECURITIES SOLD                     2,919
- --------------------------------------------------------------------------------
CHANGE IN UNREALIZED APPRECIATION (DEPRECIATION) OF INVESTMENT SECURITIES 40,685
- --------------------------------------------------------------------------------
NET INCREASE (DECREASE) IN NET ASSETS RESULTING FROM OPERATIONS          $50,737
================================================================================


                                       15




STATEMENT OF CHANGES IN NET ASSETS
This Statement shows how the fund's total net assets changed during the two most
recent reporting periods. The Operations section summarizes information detailed
in  the  Statement  of  Operations.   The  amounts  shown  as  Distributions  to
shareholders  from the fund's net  income  and  capital  gains may not match the
amounts shown in the Operations section, because distributions are determined on
a tax  basis  and may be made in a period  different  from the one in which  the
income was earned or the gains were  realized on the financial  statements.  The
Capital Share Transactions section shows the amount shareholders invested in the
fund,  either by purchasing shares or by reinvesting  distributions,  as well as
the amounts redeemed.  The  corresponding  numbers of Shares Issued and Redeemed
are shown at the end of the Statement.

- --------------------------------------------------------------------------------
                                                     Convertible Securities Fund
                                                     ---------------------------
                                                     Six Months             Year
                                                          Ended            Ended
                                                   May 31, 2003    Nov. 30, 2002
                                                          (000)            (000)

INCREASE (DECREASE) IN NET ASSETS
Operations
  Net Investment Income                                 $ 7,133         $ 12,083
  Realized Net Gain (Loss)                                2,919         (31,620)
  Change in Unrealized Appreciation (Depreciation)       40,685          (7,239)
- --------------------------------------------------------------------------------
    Net Increase (Decrease) in Net Assets
      Resulting from Operations                          50,737         (26,776)
- --------------------------------------------------------------------------------
Distributions
  Net Investment Income                                 (6,853)         (12,489)
  Realized Capital Gain                                      --               --
- --------------------------------------------------------------------------------
    Total Distributions                                 (6,853)         (12,489)
- --------------------------------------------------------------------------------
Capital Share Transactions
  Issued                                                242,461          104,042
  Issued in Lieu of Cash Distributions                    5,826           10,764
  Redeemed                                             (43,287)         (85,029)
- --------------------------------------------------------------------------------
    Net Increase (Decrease)
    from Capital Share Transactions                     205,000           29,777
- --------------------------------------------------------------------------------
  Total Increase (Decrease)                             248,884          (9,488)
- --------------------------------------------------------------------------------
Net Assets
  Beginning of Period                                   290,697         300,185
- --------------------------------------------------------------------------------
  End of Period                                        $539,581         $290,697
================================================================================

1Shares Issued (Redeemed)
  Issued                                                 22,442            9,593
  Issued in Lieu of Cash Distributions                      553              970
  Redeemed                                              (4,015)          (7,828)
- --------------------------------------------------------------------------------
  Net Increase (Decrease) in Shares Outstanding          18,980            2,735
================================================================================

                                       16


FINANCIAL HIGHLIGHTS
- --------------------------------------------------------------------------------
This table  summarizes  the  fund's  investment  results  and  distributions  to
shareholders  on a per-share  basis. It also presents the Total Return and shows
net investment  income and expenses as percentages of average net assets.  These
data will help you assess:  the  variability  of the fund's net income and total
returns from year to year; the relative  contributions of net income and capital
gains to the fund's total return; how much it costs to operate the fund; and the
extent to which the fund tends to distribute capital gains. The table also shows
the Portfolio  Turnover Rate, a measure of trading activity.  A turnover rate of
100% means that the average security is held in the fund for one year.


CONVERTIBLE SECURITIES FUND


                                                                                    
                                                   SIX MONTHS            YEAR ENDED NOVEMBER 30,
                                                        ENDED  ------------------------------------------
FOR A SHARE OUTSTANDING THROUGHOUT EACH PERIOD   MAY 31, 2003    2002       2001    2000    1999     1998
- --------------------------------------------------------------------------------------------------------
Net Asset Value, Beginning of Period                   $10.57   $12.12    $12.68  $13.18  $11.10   $13.01
  Investment Operations
  Net Investment Income                                   .19      .47       .53     .56     .52      .52
  Net Realized and Unrealized Gain (Loss)
    on Investments                                       1.07   (1.53)     (.04)     .19    2.13    (.77)
- ---------------------------------------------------------------------------------------------------------
    Total from Investment Operations                     1.26   (1.06)       .49     .75    2.65    (.25)
- ---------------------------------------------------------------------------------------------------------
Distributions
  Dividends from Net Investment Income                  (.22)    (.49)     (.54)   (.55)   (.57)    (.54)
  Distributions from Realized Capital Gains                --       --     (.51)   (.70)     --    (1.12)
- ---------------------------------------------------------------------------------------------------------
    Total Distributions                                 (.22)    (.49)    (1.05)  (1.25)   (.57)   (1.66)
- --------------------------------------------------------------------------------------------------------
Net Asset Value, End of Period                         $11.61   $10.57    $12.12  $12.68  $13.18   $11.10
=========================================================================================================
Total Return                                           12.15%   -8.88%     3.98%   5.27%  24.85%   -2.16%
=========================================================================================================
Ratios/Supplemental Data
  Net Assets, End of Period (Millions)                   $540     $291      $300    $323    $180     $172
  Ratio of Total Expenses to
    Average Net Assets                                 0.92%*    0.95%     0.71%   0.56%   0.55%    0.73%
  Ratio of Net Investment Income to
    Average Net Assets                                 3.80%*    4.27%     4.21%   4.19%   4.30%    4.36%
  Portfolio Turnover Rate                               107%*     118%      156%    182%    162%     186%
========================================================================================================
*Annualized.


See accompanying Notes, which are an integral part of the Financial Statements.



                                       17


****
****

NOTES TO FINANCIAL STATEMENTS
Vanguard Convertible Securities Fund is registered under the Investment Company
Act of 1940 as an open-end investment company, or mutual fund.

A. The following  significant  accounting policies conform to generally accepted
accounting  principles for U.S. mutual funds. The fund consistently follows such
policies in preparing its financial statements.

     1. SECURITY VALUATION:  Securities are valued as of the close of trading on
the New York Stock Exchange  (generally 4:00 p.m. Eastern time) on the valuation
date. Equity securities are valued at the latest quoted sales prices or official
closing prices taken from the primary market in which each security trades; such
securities not traded on the valuation date are valued at the mean of the latest
quoted bid and asked prices. Bonds, and temporary cash investments acquired over
60 days to maturity,  are valued using the latest bid prices or using valuations
based on a matrix  system  (which  considers  such  factors as security  prices,
yields,  maturities,  and  ratings),  both as furnished by  independent  pricing
services.  Other temporary cash  investments are valued at amortized cost, which
approximates  market  value.  Securities  for which  market  quotations  are not
readily  available,  or whose  values  have been  materially  affected by events
occurring  before the fund's pricing time but after the close of the securities'
primary  markets,  are  valued by  methods  deemed by the board of  trustees  to
represent fair value.
     2.  REPURCHASE  AGREEMENTS:  The fund,  along  with  other  members  of The
Vanguard Group,  transfers  uninvested cash balances into a pooled cash account,
which  is  invested  in  repurchase   agreements  secured  by  U.S.   government
securities.  Securities pledged as collateral for repurchase agreements are held
by a custodian bank until the agreements  mature.  Each agreement  requires that
the market value of the  collateral be sufficient to cover  payments of interest
and principal; however, in the event of default or bankruptcy by the other party
to  the  agreement,  retention  of  the  collateral  may  be  subject  to  legal
proceedings.
     3.  FEDERAL  INCOME  TAXES:  The fund  intends to  continue to qualify as a
regulated   investment  company  and  distribute  all  of  its  taxable  income.
Accordingly,  no provision for federal income taxes is required in the financial
statements.
     4.  DISTRIBUTIONS:  Distributions  to  shareholders  are  recorded  on  the
ex-dividend date.
     5. OTHER:  Dividend  income is recorded on the ex-dividend  date.  Security
transactions  are accounted for on the date the  securities  are bought or sold.
Costs  used to  determine  realized  gains  (losses)  on the sale of  investment
securities are those of the specific  securities sold. Premiums and discounts on
debt securities purchased are amortized and accreted,  respectively, to interest
income  over  the  lives  of  the  respective  securities.

B. Oaktree Capital Management, LLC, provides investment advisory services to the
fund for a fee  calculated at an annual  percentage  rate of average net assets.
The  basic  fee  is  subject  to  quarterly  adjustments  based  on  the  fund's
performance  for the preceding  three years  relative to the Credit Suisse First
Boston Convertible  Securities Index. For the six months ended May 31, 2003, the
investment  advisory fee represented an effective  annual basic rate of 0.41% of
the fund's  average net assets  before an increase of $317,000  (0.17%) based on
performance.

C. The Vanguard Group  furnishes at cost corporate  management,  administrative,
marketing,  and distribution  services. The costs of such services are allocated
to the fund  under  methods  approved  by the  board of  trustees.  The fund has
committed to provide up to 0.40% of its net assets in capital  contributions  to
Vanguard.  At May 31,  2003,  the fund had  contributed  capital  of  $87,000 to
Vanguard (included in Other Assets), representing 0.02% of the fund's net assets
and 0.09% of  Vanguard's  capitalization.  The fund's  trustees and officers are
also directors and officers of Vanguard.


                                       18



D. The  fund's  custodian  bank has  agreed  to  reduce  its fees  when the fund
maintains cash on deposit in the  non-interest-bearing  custody account. For the
six  months  ended May 31,  2003,  custodian  fee  offset  arrangements  reduced
expenses by $3,000.

E.  Distributions  are  determined  on a tax  basis  and  may  differ  from  net
investment income and realized capital gains for financial  reporting  purposes.
Differences   may  be  permanent  or  temporary.   Permanent   differences   are
reclassified among capital accounts in the financial statements to reflect their
tax  character.  Temporary  differences  arise  when  certain  items of  income,
expense,  gain,  or loss are  recognized  in  different  periods  for  financial
statement and tax purposes;  these  differences will reverse at some time in the
future.  Differences  in  classification  may also result from the  treatment of
short-term gains as ordinary income for tax purposes.
     Certain of the fund's  convertible  preferred stock investments are treated
as debt  securities for tax purposes.  During the six months ended May 31, 2003,
the fund realized gains of $350,000 from the sale of these securities, which are
included in distributable net investment  income for tax purposes;  accordingly,
such  gains  have been  reclassified  from  accumulated  net  realized  gains to
undistributed net investment income.
     The fund's  tax-basis  capital gains and losses are determined  only at the
end of each fiscal year.  For tax purposes,  at November 30, 2002,  the fund had
available  realized  losses of $77,387,000 to offset future net capital gains of
$45,572,000  through  November 30, 2009, and  $31,815,000  through  November 30,
2010.  The fund will use these  capital  losses to offset  net  taxable  capital
gains, if any,  realized  during the year ending  November 30, 2003;  should the
fund  realize net capital  losses for the year,  the losses will be added to the
loss carryforward balances above.
     At May 31, 2003, net unrealized  appreciation of investment  securities for
tax purposes was  $46,352,000,  consisting of unrealized gains of $47,017,000 on
securities  that  had  risen in value  since  their  purchase  and  $665,000  in
unrealized  losses on securities  that had fallen in value since their purchase.

F. During the six months ended May 31, 2003, the fund purchased  $396,706,000 of
investment securities and sold $191,270,000 of investment securities, other than
temporary  cash  investments.

G. The market value of securities on loan to broker/dealers at May 31, 2003, was
$46,807,000,  for which the fund held cash collateral of  $47,765,000.  The fund
invests  cash  collateral  received  in  repurchase  agreements,  and  records a
liability for the return of the collateral, during the period the securities are
on loan.


                                       19


- --------------------------------------------------------------------------------
Investing Is Fast and Easy on Vanguard.com


If you're like many  Vanguard  investors,  you  believe in  planning  and taking
control of your own  investments.  Vanguard.com(R)  was built for you--and  it's
getting better all the time.

MANAGE YOUR INVESTMENTS WITH EASE
Log on to Vanguard.com and:

*    See what you own (at Vanguard and  elsewhere) and how you're doing by using
     our Consolidated View(TM) tool.

*    Check your overall asset allocation, no matter where your assets are held.

*    Compare your holdings with industry benchmarks.

*    Analyze your personal performance.

*    Invest online and even manage the mail you get from us. (Prefer to get fund
     reports like this one online? Just let us know!)

*    Set up a Watch  List to make it easy  to  track  funds  and  securities  of
     interest.

Plan Your Investments With Confidence
Go to our Planning & Advice and: Research Funds & Stocks sections and:

*    Take our Investor  Questionnaire  to find out what asset  allocation  might
     best suit your needs.

*    Find out how much you should save for retirement and for college costs.

*    Discover how investment  costs affect your bottom line by using our Compare
     Fund Costs tool.

*    Find out how to maximize your after-tax  returns in our PlainTalk(R)  guide
     Be a Tax-Savvy Investor.

*    Attend our quarterlyPlainTalk webcasts on investing.

Find out what Vanguard.com can do for you. Log on today!


                                       20



The People Who Govern Your Fund

The  trustees of your mutual fund are there to see that the fund is operated and
managed in your best interests since, as a shareholder,  you are a part owner of
the fund.  Your  fund  trustees  also  serve on the  board of  directors  of The
Vanguard  Group,  Inc.,  which is owned by the  Vanguard(R)  funds and  provides
services to them on an at-cost basis.
     A majority of Vanguard's board members are  independent,  meaning that they
have no  affiliation  with  Vanguard or the funds they  oversee,  apart from the
investments they have made as private individuals. Our independent board members
bring  distinguished  backgrounds in business,  academia,  and public service to
their task of working  with  Vanguard  officers to  establish  the  policies and
oversee the activities of the funds.
     Among board members' responsibilities are selecting investment advisers for
the  funds;  monitoring  fund  operations,  performance,  and  costs;  reviewing
contracts;  nominating  and  selecting  new  trustees/directors;   and  electing
Vanguard  officers.  The dates in  parentheses  below show when each trustee was
initially elected.
- --------------------------------------------------------------------------------
John J. Brennan* Chairman of the Board, Chief Executive Officer, and
Director/Trustee of The Vanguard Group, Inc., and of each of the (1987)
investment companies served by The Vanguard Group.
- --------------------------------------------------------------------------------
INDEPENDENT TRUSTEES

Charles D. Ellis The Partners of '63 (pro bono  ventures in  education);  Senior
Adviser  to  Greenwich  Associates   (international   business  (2001)  strategy
consulting);  Successor Trustee of Yale University; Overseer of the Stern School
of Business  at New York  University;  Trustee of the  Whitehead  Institute  for
Biomedical Research.

Rajiv L. Gupta Chairman and Chief Executive  Officer (since October 1999),  Vice
Chairman (January-September 1999), and Vice (2001) President (prior to September
1999) of Rohm and Haas Co. (chemicals); Director of Technitrol, Inc. (electronic
components), and Agere Systems (communications components);  Board Member of the
American Chemistry Council; Trustee of Drexel University.

JoAnn Heffernan Heisen Vice President,  Chief Information Officer, and Member of
the Executive  Committee of Johnson & Johnson  (1998)  (pharmaceuticals/consumer
products);  Director of the Medical Center at Princeton and Women's Research and
Education Institute.

Burton G. Malkiel  Chemical Bank  Chairman's  Professor of Economics,  Princeton
University;  Director of Vanguard Investment Series plc (1977) (Irish investment
fund) (since November 2001),  Vanguard Group (Ireland) Limited (Irish investment
management firm) (since November 2001), Prudential Insurance Co. of America, BKF
Capital  (investment  management firm), The Jeffrey Co. (holding  company),  and
NeuVis, Inc. (software company).

Alfred M. Rankin, Jr. Chairman, President, Chief Executive Officer, and Director
of NACCO Industries, Inc. (forklift trucks/housewares/ (1993) lignite); Director
of Goodrich  Corporation  (industrial  products/aircraft  systems and services);
Director until 1998 of Standard  Products Company (a supplier for the automotive
industry).

J. Lawrence Wilson Retired Chairman and Chief Executive Officer of Rohm and Haas
Co. (chemicals);  Director of Cummins Inc. (diesel (1985) engines), MeadWestvaco
Corp.   (paper   products),   and   AmerisourceBergen   Corp.    (pharmaceutical
distribution); Trustee of Vanderbilt University.
- --------------------------------------------------------------------------------
EXECUTIVE OFFICERS*

R.  Gregory  Barton  Secretary;  Managing  Director  and General  Counsel of The
Vanguard Group, Inc. (since September 1997); Secretary of The Vanguard Group and
of each of the investment  companies served by The Vanguard Group;  Principal of
The Vanguard Group (prior to September 1997).

Thomas J. Higgins Treasurer; Principal of The Vanguard Group, Inc.; Treasurer of
each of the investment companies served by The Vanguard Group.
- --------------------------------------------------------------------------------
*Officers  of the funds are  "interested  persons" as defined in the  Investment
Company Act of 1940.

More  information   about  the  trustees  is  in  the  Statement  of  Additional
Information, available from The Vanguard Group.

- --------------------------------------------------------------------------------
VANGUARD SENIOR MANAGEMENT TEAM

Mortimer J. Buckley, Information Technology.
F. William McNabb, III, Client Relationship Group.
James H. Gately, Investment Programs and Services.
Michael S. Miller, Planning and Development.
Kathleen C. Gubanich, Human Resources.
Ralph K. Packard, Finance.
Ian A. MacKinnon, Fixed Income Group.
George U. Sauter, Quantitative Equity Group.
- --------------------------------------------------------------------------------
John C. Bogle, Founder; Chairman and Chief Executive Officer, 1974-1996.




Post Office Box 2600
Valley Forge, PA 19482-2600

Vanguard, The Vanguard Group,  Vanguard.com,  Wellington,  and the ship logo are
trademarks of The Vanguard Group, Inc.

All other marks are the exclusive property of their respective owners.

ABOUT OUR COVER
The  photographs  of the sails and ship that  appear on the cover of this report
are copyrighted by Michael Kahn.

FOR MORE INFORMATION
This report is intended for the fund's  shareholders.  It may not be distributed
to  prospective  investors  unless it is preceded or  accompanied by the current
fund prospectus.
     To receive a free copy of the  prospectus  or the  Statement of  Additional
Information,  or to  request  additional  information  about  the  fund or other
Vanguard funds, please contact us at one of the adjacent telephone numbers or by
e-mail through Vanguard.com(R). Prospectuses may also be viewed online.

All  comparative  mutual fund data are from Lipper  Inc. or  Morningstar,  Inc.,
unless otherwise noted.

WORLD WIDE WEB
www.vanguard.com

FUND INFORMATION
1-800-662-7447

DIRECT INVESTOR ACCOUNT SERVICES
1-800-662-2739

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1-800-523-1036

TEXT TELEPHONE
1-800-952-3335

(C) 2003 The Vanguard Group, Inc.
All rights reserved.
Vanguard Marketing
Corporation, Distributor.

Q822 072003

Item 2: Code(s) of Ethics for senior financial officers - Item not applicable to
semi-annual report.

Item 3: Audit  Committee  Financial  Expert - Item not applicable to semi-annual
report.

Item 4:  Principal  Accountant  Fees  and  Services  - Item  not  applicable  to
semi-annual report.

Item 5: Not Applicable.

Item 6: Reserved.

Item 7: Not applicable.

Item 8: Reserved.

Item 9: Controls and Procedures.

     (a)  Disclosure  Controls  and  Procedures.  The  Principal  Executive  and
Financial  Officers  concluded  that the  Registrant's  Disclosure  Controls and
Procedures are effective  based on their  evaluation of the Disclosure  Controls
and Procedures as of a date within 90 days of the filing date of this report.

     (b) Internal  Controls.  There were no significant  changes in Registrant's
internal  controls or in other  factors  that could  significantly  affect these
controls  subsequent to the date of their  evaluation,  including any corrective
actions with regard to significant deficiencies and material weaknesses.

Item 10: Exhibits attached hereto.  (Attach certifications as exhibits)

Pursuant to the  requirements  of the  Securities  Exchange  Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

       VANGUARD CONVERTIBLE SECURITIES FUND

BY:             (signature)
   ----------------------------------------
                (HEIDI STAM)
              JOHN J. BRENNAN*
          CHIEF EXECUTIVE OFFICER

Date:  July 8, 2003

Pursuant to the  requirements  of the  Securities  Exchange  Act of 1934 and the
Investment  Company  Act of  1940,  this  report  has been  signed  below by the
following  persons on behalf of the  registrant and in the capacities and on the
dates indicated.

       VANGUARD CONVERTIBLE SECURITIES FUND

BY:             (signature)
   ----------------------------------------
                (HEIDI STAM)
              JOHN J. BRENNAN*
          CHIEF EXECUTIVE OFFICER

Date: :  July 8, 2003

       VANGUARD CONVERTIBLE SECURITIES FUND

BY:             (signature)
   ----------------------------------------
                (HEIDI STAM)
              THOMAS J. HIGGINS*
                TREASURER

Date: :  July 8, 2003

*By Power of  Attorney.  See File Number  2-57689,  filed on December  26, 2002.
Incorporated by Reference.



               CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,
                           AS ADOPTED PURSUANT TO
                SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


Name of Issuer: VANGUARD CONVERTIBLE SECURITIES FUND

     In connection with the Report on Form N-CSR of the above-named  issuer that
is accompanied by this certification,  the undersigned hereby certifies,  to his
knowledge, that:

1.   The Report fully complies with the  requirements of Section 13(a) or 15 (d)
     of the Securities Exchange Act of 1934; and

2.   The information  contained in the Report fairly presents,  in all materials
     respects, the financial condition and results of operations of the issuer.


Date:  July 8, 2003                                 /s/ John J. Brennan
                                                        -----------------------
                                                        John J. Brennan
                                                        Chief Executive Officer









                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,
                              AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


Name of Issuer:  VANGUARD CONVERTIBLE SECURITIES FUND

     In connection  with the Report on Form N-CSR of the  above-named  issuer is
accompanied by this  certification,  the undersigned  hereby  certifies,  to his
knowledge, that:

1.   The Report fully complies with the  requirements of Section 13(a) or 15 (d)
     of the Securities Exchange Act of 1934; and

2.   The information  contained in the Report fairly presents,  in all materials
     respects, the financial condition and results of operations of the issuer.


Date:  July 8, 2003                                 /s/ Thomas J. Higgins
                                                        -----------------------
                                                        Thomas J. Higgins
                                                        Treasurer


                                 CERTIFICATIONS
                                 --------------

I, John J. Brennan, certify that:

1. I have reviewed this report on Form N-CSR of Vanguard Convertible  Securities
Fund;

2. Based on my knowledge, this report does not contain any untrue statement of a
material fact or omit to state a material fact  necessary to make the statements
made, in light of the  circumstances  under which such statements were made, not
misleading with respect to the period covered by this report;

3.  Based  on my  knowledge,  the  financial  statements,  and  other  financial
information included in this report, fairly present in all material respects the
financial  condition,  results of  operations,  changes in net assets,  and cash
flows (if the financial  statements  are required to include a statement of cash
flows) of the registrant as of, and for, the periods presented in this report;

4.  The  registrant's  other  certifying  officers  and  I are  responsible  for
establishing and maintaining  disclosure  controls and procedures (as defined in
Rule 30a-2(c) under the  Investment  Company Act of 1940) for the registrant and
have:

a) designed  such  disclosure  controls and  procedures  to ensure that material
information relating to the registrant, including its consolidated subsidiaries,
is made known to us by others  within those  entities,  particularly  during the
period in which this report is being prepared;

b) evaluated  the  effectiveness  of the  registrant's  disclosure  controls and
procedures  as of a date  within 90 days prior to the filing date of this report
(the "Evaluation Date"); and

c)  presented  in this report our  conclusions  about the  effectiveness  of the
disclosure  controls and procedures based on our evaluation as of the Evaluation
Date;

5. The registrant's other certifying officers and I have disclosed, based on our
most recent evaluation,  to the registrant's auditors and the audit committee of
the  registrant's  board of  directors  (or persons  performing  the  equivalent
functions):

a) all significant  deficiencies in the design or operation of internal controls
which  could  adversely  affect the  registrant's  ability  to record,  process,
summarize,  and report  financial data and have identified for the  registrant's
auditors any material weaknesses in internal controls; and

b) any  fraud,  whether  or not  material,  that  involves  management  or other
employees who have a significant role in the registrant's internal controls; and

6. The  registrant's  other  certifying  officers  and I have  indicated in this
report whether or not there were significant  changes in internal controls or in
other factors that could  significantly  affect internal controls  subsequent to
the date of our most recent  evaluation,  including any corrective  actions with
regard to significant deficiencies and material weaknesses.

Date: July 8, 2003
                                                 /s/ John J. Brennan
                                                     ----------------------
                                                     CHIEF EXECUTIVE OFFICER







                                 CERTIFICATIONS
                                 --------------

I, Thomas J. Higgins, certify that:

1. I have reviewed this report on Form N-CSR of Vanguard Convertible  Securities
Fund;

2. Based on my knowledge, this report does not contain any untrue statement of a
material fact or omit to state a material fact  necessary to make the statements
made, in light of the  circumstances  under which such statements were made, not
misleading with respect to the period covered by this report;

3.  Based  on my  knowledge,  the  financial  statements,  and  other  financial
information included in this report, fairly present in all material respects the
financial  condition,  results of  operations,  changes in net assets,  and cash
flows (if the financial  statements  are required to include a statement of cash
flows) of the registrant as of, and for, the periods presented in this report;

4.  The  registrant's  other  certifying  officers  and  I are  responsible  for
establishing and maintaining  disclosure  controls and procedures (as defined in
Rule 30a-2(c) under the  Investment  Company Act of 1940) for the registrant and
have:

a) designed  such  disclosure  controls and  procedures  to ensure that material
information relating to the registrant, including its consolidated subsidiaries,
is made known to us by others  within those  entities,  particularly  during the
period in which this report is being prepared;

b) evaluated  the  effectiveness  of the  registrant's  disclosure  controls and
procedures  as of a date  within 90 days prior to the filing date of this report
(the "Evaluation Date"); and

c)  presented  in this report our  conclusions  about the  effectiveness  of the
disclosure  controls and procedures based on our evaluation as of the Evaluation
Date;

5. The registrant's other certifying officers and I have disclosed, based on our
most recent evaluation,  to the registrant's auditors and the audit committee of
the  registrant's  board of  directors  (or persons  performing  the  equivalent
functions):

a) all significant  deficiencies in the design or operation of internal controls
which  could  adversely  affect the  registrant's  ability  to record,  process,
summarize,  and report  financial data and have identified for the  registrant's
auditors any material weaknesses in internal controls; and

b) any  fraud,  whether  or not  material,  that  involves  management  or other
employees who have a significant role in the registrant's internal controls; and

6. The  registrant's  other  certifying  officers  and I have  indicated in this
report whether or not there were significant  changes in internal controls or in
other factors that could  significantly  affect internal controls  subsequent to
the date of our most recent  evaluation,  including any corrective  actions with
regard to significant deficiencies and material weaknesses.

Date: July 8, 2003
                                                       /s/ Thomas J. Higgins
                                                           -----------------
                                                           TREASURER