VANGUARD CONVERTIBLE SECURITIES FUND INC
N-30D, 1999-07-27
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VANGUARD
CONVERTIBLE
SECURITIES FUND

SEMIANNUAL
REPORT
MAY 31, 1999

[A MEMBER OF THE VANGUARD GROUP LOGO]


<PAGE>

AT VANGUARD, WE BELIEVE THAT TRADITION MATTERS

Our 9,000 crew members  embrace the  traditional  values on which our success is
built,  including integrity,  hardwork,  thrift,  teamwork,  and fair dealing on
behalf of our clients.

Our report cover pays homage to three anniversaries,  each of great significance
to The Vanguard Group:

o    The 200th  anniversary of the Battle of the Nile, which commenced on August
     1, 1798. HMS Vanguard,  the victorious British flagship at the Nile, is our
     namesake.  And its  motto--"Leading the way"--serves as a guiding principle
     for our company.

o    The 100th  birthday,  on July 23,  1998,  of Walter L.  Morgan,  founder of
     Wellington  Fund, the oldest member of what became The Vanguard Group.  Mr.
     Morgan was friend and mentor to Vanguard  founder John C. Bogle, and helped
     to shape the standards and business principles that Mr. Bogle laid down for
     Vanguard  at its  beginning  nearly 25 years  ago:  a stress  on  balanced,
     diversified  investments;  insistence  on  fair  dealing  and  candor  with
     clients;  and a focus on  long-term  investing.  To our great  regret,  Mr.
     Morgan died on September 2, 1998.

o    The 70th  anniversary,  on  December  28,  1998,  of the  incorporation  of
     Vanguard  Wellington  Fund. It is the nation's oldest balanced mutual fund,
     and one of only a handful  of funds  created in the 1920s that are still in
     operation.

Although Vanguard constantly tackles new challenges,  adopts new technology, and
develops new services,  we treasure the  traditions and values that set us apart
in a  crowded,  competitive  industry.  And we salute  our  shareholders,  whose
support and trust we strive to earn each and every day.

                                [COMPASS GRAPHIC]
                                    CONTENTS

                          A MESSAGE TO OUR SHAREHOLDERS
                                        1

                           THE MARKETS IN PERSPECTIVE
                                        3

                             REPORT FROM THE ADVISER
                                        5

                               PERFORMANCE SUMMARY
                                        7

                                  FUND PROFILE
                                        8

                              FINANCIAL STATEMENTS
                                       11

                         For an update on our Year 2000
                           preparedness, see page 19.

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


<PAGE>
FELLOW SHAREHOLDER,

[PHOTO]
John J. Brennan            John C. Bogle
Chairman & CEO             Senior Chairman

Vanguard Convertible Securities Fund's solid +10.6% return during the first half
of its fiscal year mirrored that of the average convertible securities fund, but
trailed the +13.2% return of its comparative index.
     The table below  presents  the fund's  total  return  (capital  change plus
reinvested dividends) for the six months ended May 31, 1999, along with those of
the average competing fund and our unmanaged benchmark,  the Credit Suisse First
Boston  Convertible  Securities  Index. We also present the six-month returns of
the Standard & Poor's 500 Composite  Stock Price Index,  a widely used benchmark
for large-capitalization stocks, and the Lehman Brothers Aggregate Bond Index, a
recognized proxy for the taxable bond market.

- --------------------------------------------------------------------------------
                                                                  TOTAL RETURNS
                                                                SIX MONTHS ENDED
                                                                  MAY 31, 1999
- --------------------------------------------------------------------------------
Vanguard Convertible Securities Fund                                 +10.6%
- --------------------------------------------------------------------------------
Average Convertible Securities Fund                                  +10.6%
- --------------------------------------------------------------------------------
CS First Boston Convertibles Index                                   +13.2%
- --------------------------------------------------------------------------------
S&P 500 Index                                                        +12.6%
Lehman Aggregate Bond Index                                          - 0.8
- --------------------------------------------------------------------------------

     The fund's  return is based on an  increase  in net asset value from $11.10
per share on November  30,  1998,  to $11.91 per share on May 31,  1999,  and is
adjusted for dividends of $0.33 per share paid from net investment  income.  The
fund paid no capital gains during the period.

THE PERIOD IN REVIEW
Continued  strong  expansion of the U.S.  economy  helped boost stock prices but
also  resulted in higher  interest  rates and lower bond  prices  during the six
months ended May 31. Led by a surge in consumer spending that was fueled by high
employment and rising  incomes,  the economy grew at an annualized  rate of 6.0%
during the fourth quarter of 1998 and at a 4.3% rate during the first quarter of
1999.
     The overall U.S.  stock  market,  as measured by the  Wilshire  5000 Equity
Index,  gained +13.2% in the fiscal half-year.  However,  there were significant
divergences  within the market.  During the first four months of the period, the
stock market's advance was led by large-capitalization  growth stocks--the group
that had dominated market  performance for the past several years.  During April
and May, there was a distinct shift in market  leadership,  as small-cap  stocks
and value  stocks--those  characterized by  below-average  prices in relation to
such fundamental measures as book value, earnings,  and  dividends--outperformed
the  large-cap  growth  issues.  The  strength of the U.S.  economy and signs of
improvement in many foreign economies boosted prospects and share prices of such
value-stock sectors as energy, machinery, and basic materials producers. For the
half-year, returns on large- and small-cap stocks and on growth and value stocks
diverged by only 1 to 2 percentage points.
     Bond prices  declined  during the six months as interest rates moved higher
in response to the  economy's  strength and to a worrisome  inflation  report in
May.  Yields on U.S.  Treasury bonds rose by 75 to 90 basis points (0.75 to 0.90
percentage  point).  The benchmark 30-year Treasury bond's yield rose from 5.06%
at the beginning of the fiscal year to 5.83% as of May 31. The Lehman  Aggregate
Bond Index, which has an intermediate-term

                                       1
<PAGE>
average  maturity  and is a good  measure of the overall  taxable  bond  market,
returned-0.8%,  as a -3.8% price  decline  more than offset  interest  income of
+3.0%.  Long-term bonds,  which are most sensitive to changes in interest rates,
had larger declines (for instance,  the Lehman Long Corporate AA or Better Index
returned  -4.6%,  as a price decline of -7.8%  eclipsed a  half-year's  interest
income of +3.2%).

PERFORMANCE OVERVIEW
As we noted earlier, the Convertible  Securities Fund's +10.6% return during the
period  matched that of the average  convertible  securities  fund, but fell 2.6
percentage  points shy of the +13.2% gain of its benchmark,  the CS First Boston
Convertibles  Index.  The index  return  was  boosted by the  outsized  gains of
several convertible issues tied to large-cap stocks.  These issues account for a
significant slice of the index, but their  characteristics  make them trade more
like  common  stocks  than  true  stock/bond  hybrids--the  type of  convertible
securities  our fund  emphasizes.  In a  strong  equity  market--especially  for
large-cap stocks--this made the index a very tough benchmark.
     Our fund maintained its focus on  convertibles  whose yields are sufficient
to provide some protection in the event of a stock market downturn but that also
offer the  opportunity for  appreciation if the underlying  stocks perform well.
Selecting convertibles with both fixed-income  characteristics and the potential
for gains from equity appreciation is central to our adviser's strategy.

IN SUMMARY
The continuing bull market in stocks fueled a prosperous six months for Vanguard
Convertible  Securities Fund. The stock market's gains in recent  years--indeed,
during the past 17  years--have  been  extraordinary.  We are  grateful for this
bounty,  but we remind you that one danger of dazzling  returns is that they may
blind investors to the always-present risks of the stock market.
     We believe that a balanced  investment  program--a  mixture of stock funds,
bond funds,  and money market  funds in  proportions  suited to your  investment
objectives,  time horizon, and tolerance for risk--provides a time-tested way to
reap  the  rewards  of  investing  while   moderating  the  risks.   Convertible
securities,  by combining  the  capital-appreciation  potential of stocks with a
solid fixed-income component, can play a useful role in such a balanced program.
Once you've constructed an investment plan that takes into  consideration  risks
as well as potential rewards, we advise you to stick with it.



/S/                                /S/
John C. Bogle                      John J. Brennan
Senior Chairman                    Chairman and
                                   Chief Executive Officer
June 23, 1999

                                       2
<PAGE>

THE MARKETS IN PERSPECTIVE
SIX MONTHS ENDED MAY 31, 1999

Sentiment  shifted on the world's  financial markets during the six months ended
May 31,  1999.  The period  began amid  lingering  anxiety over the state of the
world  economy.  Japan was in  recession,  economic  growth was only sluggish in
Europe,  and many developing nations were  crisis-ridden.  The United States was
just about the sole bright spot.
     However,  as the period  progressed and reports showed rapid growth in U.S.
business activity, there was an evident reduction in anxiety. Midway through the
period,  leadership  in the U.S.  stock  market  shifted  away from a relatively
narrow group of large growth stocks regarded as relatively  recession-proof  and
toward  cyclical  stocks that had been  depressed by fears of  recession  and by
falling demand from overseas  markets.  As confidence in global  economic growth
grew,  interest rates rose and bond prices  declined in the United States due to
expectations  that the Federal  Reserve Board would raise interest rates to ward
off  a  potential  surge  in  inflation.  Internationally,  however,  a  growing
conviction that the worst was over led to solid gains for stock markets in Japan
and several emerging markets.

U.S. STOCK MARKETS
Stock prices climbed during the half-year, reflecting the healthy domestic
economy and  investors'  confidence in future growth of corporate  profits.  The
overall  market,  as measured by the Wilshire 5000 Index,  rose 13.2% during the
period,  while the S&P 500 Index, a barometer for  large-capitalization  stocks,
gained 12.6%.
- --------------------------------------------------------------------------------
                                                        TOTAL RETURNS
                                                 PERIODS ENDED MAY 31, 1999
                                         ---------------------------------------
                                         6 MONTHS        1 YEAR         5 YEARS*
- --------------------------------------------------------------------------------
STOCKS
  S&P 500 Index                            12.6%          21.0%            25.9%
  Russell 2000 Index                       11.0           -2.7             13.6
  Wilshire 5000 Index                      13.2           17.7             23.8
  MSCI EAFE Index                           4.2            4.7              8.0
- --------------------------------------------------------------------------------
BONDS
  Lehman Aggregate Bond Index              -0.8%           4.4%             7.8%
  Lehman 10 Year Municipal Bond Index       0.4            4.6              7.2
  Salomon Smith Barney 3-Month
    U.S. Treasury Bill Index                2.2            4.8              5.2
- --------------------------------------------------------------------------------
OTHER
  Consumer Price Index                      1.3%           2.1%             2.4%
- --------------------------------------------------------------------------------
*Annualized.

     During the early part of the semiannual  period,  stock  investors  favored
large-cap  growth  stocks--a  group  perceived as less subject to harm during an
economic  downturn.  In the United States,  the Federal  Reserve had already cut
short-term  rates by a total of 0.75  percentage  point in the  autumn.  Foreign
central  banks  continued  cutting  rates  into the new year to combat  sluggish
economic conditions in Europe,  Asia, and Latin America.  Late in the semiannual
period, U.S. investors were rewarded for their earlier optimism with a series of
surprisingly  strong  gains  in  corporate   earnings--a  record  percentage  of
companies in the S&P 500 reported earnings that beat analysts' estimates.


                                       3
<PAGE>

     Throughout  the  period,  U.S.  consumers  provided  support for the global
economy: Spending by consumers continued to set records, and American households
on average  spent nearly  every  dollar of income they  earned.  The upbeat mood
stemmed  from a bright  employment  picture  (unemployment  hovered near 30-year
lows) and rising incomes.
     Improved  prospects for global economic growth  propelled  several formerly
lackluster areas of the stock market,  particularly  commodity-related companies
and "cyclical" companies such as machinery,  chemical,  and paper manufacturers.
Higher oil prices, boosted by firmer demand and by agreement among oil-producing
nations to limit  production,  revived the "other  energy"  and  integrated-oils
sectors, which gained about 36% and 16%, respectively. Technology stocks, up 26%
for the six months,  were the market's  leaders,  but most of the sector's gains
came during the first three  months of the period.  Consumer-staples  companies,
beset by tough price competition and hurt by the stronger U.S. dollar in Europe,
were the worst-performing group in the half-year, down about 7%.

U.S. BOND MARKETS
For bond investors, the powerful economic expansion evident during the half-year
was too much of a good thing.  Although  the  inflation  rate did not get out of
hand--consumer  prices  rose 1.3% during the six months and were up 2.1% for the
twelve months ended May 31--investors  were worried that low unemployment  (4.2%
of the labor force in May) would  trigger an  acceleration  in wages and push up
prices.
     Yields on U.S. Treasury bonds, which had fallen during the summer and early
fall  of  1998 as  investors  flocked  to what  they  regarded  as a haven  from
instability in other markets,  rose by  three-quarters  of a percentage point or
more. The yield of the 30-year  Treasury bond rose 77 basis points,  to 5.83% on
May 31 from 5.06% on November 30, 1998.  The yield of the 10-year  Treasury rose
91 basis  points,  to 5.62% from  4.71%.  Short-term  rates  didn't rise as far:
Yields on 3-month  T-bills were up on balance by only 15 basis points,  to 4.63%
on May 31. Bond  prices,  which move in the  opposite  direction  from  interest
rates,  fell. The Lehman Aggregate Bond Index, a benchmark for  investment-grade
taxable bonds, declined 0.8% on a total-return basis, as bond prices declined an
average of 3.8%, outweighing the 3.0% in interest income for the period.
     Municipal  bonds  suffered  only modest  price  declines  and  outperformed
Treasury  securities  during the period--a  switch from the previous six months,
when Treasuries were the strongest segment of the bond market.

INTERNATIONAL STOCK MARKETS
Most overseas stock markets  generated  positive  returns during the six months,
despite  lingering  economic  weakness  in Asia and  sluggish  growth in most of
Europe's developed economies.  However, the strong rise in the value of the U.S.
dollar against European  currencies  negated most of the advances in that region
for U.S.  investors.  Emerging  markets  generally  rebounded  strongly,  having
suffered steep losses in 1997 and 1998.
     Overall,  the  developed  markets  outside the United States gained 4.2% in
U.S.-dollar  terms,  as measured  by the Morgan  Stanley  Capital  International
Europe,  Australasia,  Far East (EAFE) Index. The biggest  increases were in the
Pacific  region and in emerging  markets,  where  investors saw hopeful signs of
economic  recovery.  The MSCI  Pacific  Index rose 14.2% in  U.S.-dollar  terms,
despite a continuing  recession in Japan.  The MSCI Select Emerging Markets Free
Index climbed 19.0%.  European  stocks were up a scant 0.3% in dollar terms,  as
gains of about 8% in local  currencies  were  diminished  by the  dollar's  rise
against the euro--a common currency  adopted by 11  nations--and  other regional
currencies.

                                       4
<PAGE>

REPORT FROM THE ADVISER

The environment during the first half of Vanguard Convertible  Securities Fund's
1999  fiscal  year was  generally  rewarding.  As  reported  in the  Message  to
Shareholders  on page 1, the fund  returned  10.6%.  This was a very  attractive
absolute return, although it lagged the return of the Credit Suisse First Boston
Convertible Securities Index, our unmanaged benchmark.
     During  the  past  six  months,  two  major  factors  affected  convertible
securities and our performance. These were, first, the general outperformance by
large-capitalization  equities as compared with small- and mid-cap stocks,  and,
second, the highly increased equity  sensitivity of the convertible  benchmarks,
including the CS First Boston Convertibles Index.
     The  first  influence  on  convertible-security  returns  stemmed  from the
diverging  performance  of  various  stock  groups.  For most of the  half-year,
large-cap  growth stocks  remained the focus of most investors and  outperformed
the small- and mid-cap equity  sectors.  Given the fact that most  convertibles,
including  many held by your fund,  are issued by small- and mid-cap  companies,
the  underperformance  by these stocks had a meaningful  negative impact on your
fund's returns.
     As to the second influence on performance,  it is important to realize that
the  composition  of our primary  benchmark  has changed  dramatically  from its
historical  makeup.  Many of its  top-weighted  securities  are  from  large-cap
companies,  and thus the  performance  of the index was  boosted  by the  strong
results  for  large-cap  stocks.  Unfortunately,   many  of  these  top-weighted
convertible holdings are also pure equity substitutes--convertibles that sell at
prices far above par with very negative yields to maturity--and clearly lack the
downside  protection on which we insist.  These prominent  equities were stellar
performers  for the  period,  and their  convertibles  gave the CS First  Boston
Convertibles  Index a big edge over  convertible  managers like us, who will not
own pure equity substitutes.
     Overall,  our  principal  strategy  has  been to  take  profits  on  highly
appreciated  issues and reinvest the proceeds in securities  that balance equity
appreciation  potential  with the strong  fixed-income  properties  that provide
protection  during a down  stock  market.  Despite  the equity  market's  recent
euphoria,  we continue to heavily emphasize securities with downside protection.
We believe this is particularly  important today with the average price/earnings
ratio for the stocks in the S&P 500 Index at record high levels.
- --------------------------------------------------------------------------------
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.
- --------------------------------------------------------------------------------
     We believe that  valuations  of  convertible  securities  generally  remain
attractive.  New issuance of these securities continues at only a moderate pace,
a lack of supply  that will keep  upward  pressure  on the prices of issues with
significant call  protection.  In addition,  forced  conversions and redemptions
will persist,


                                       5
<PAGE>

further  increasing  demand for outstanding  issues.  Overall,  liquidity in the
convertible  market keeps improving,  with trading  reasonably  active since the
beginning of the year.
     Your  portfolio  today  is well  diversified,  with  more  than  80  issues
representing  a  wide  variety  of  industry  groups.   Convertible  bonds  with
intermediate-term  maturities  continue to dominate our holdings and will remain
our primary  focus.  We will,  as always,  restrict our holdings to  convertible
securities  that deliver an  attractive  balance  between  upside  potential and
downside protection.

Oaktree Capital Management, LLC

June 10, 1999

                                       6
<PAGE>

PERFORMANCE SUMMARY
CONVERTIBLE SECURITIES FUND

All of the data on this page 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, so an investment in the fund could
lose money.

TOTAL INVESTMENT RETURNS: JUNE 17, 1986-MAY 31, 1999
- --------------------------------------------------------------------------------
                      CONVERTIBLE SECURITIES FUND               CS FIRST
                                                                 BOSTON*
FISCAL         CAPITAL           INCOME           TOTAL           TOTAL
YEAR           RETURN            RETURN           RETURN         RETURN
- --------------------------------------------------------------------------------
1986            -2.0%             1.8%            -0.2%            1.6%
1987           -19.0              4.2            -14.8            -5.4
1988            11.4              7.4             18.8            16.5
1989            10.7              7.0             17.7            16.3
1990           -16.3              5.4            -10.9            -8.7
1991            21.7              7.5             29.2            24.6
1992            19.9              6.1             26.0            21.7
- --------------------------------------------------------------------------------

- --------------------------------------------------------------------------------
                      CONVERTIBLE SECURITIES FUND               CS FIRST
                                                                 BOSTON*
FISCAL         CAPITAL           INCOME           TOTAL           TOTAL
YEAR           RETURN            RETURN           RETURN         RETURN
- --------------------------------------------------------------------------------

1993             9.5%             4.4%            13.9%           19.2%
1994            -8.5              4.1             -4.4            -3.9
1995            11.9              5.2             17.1            24.0
1996             9.9              5.0             14.9            15.3
1997            10.6              4.2             14.8            15.4
1998            -6.4              4.2             -2.2             1.4
1999**           7.3              3.3             10.6            13.2
- --------------------------------------------------------------------------------
 *CS First Boston Convertible Securities Index.
**Six months ended May 31, 1999.
See  Financial  Highlights  table  on page 16 for  dividend  and  capital  gains
information for the past five years.


AVERAGE ANNUAL TOTAL RETURNS: PERIODS ENDED MARCH 31, 1999*
- --------------------------------------------------------------------------------
                                                                10 YEARS
                            INCEPTION                   ------------------------
                               DATE    1 YEAR  5 YEARS  CAPITAL   INCOME   TOTAL
- --------------------------------------------------------------------------------
Convertible Securities Fund 6/17/1986  -9.87%   8.68%    5.33%    5.25%   10.58%
- --------------------------------------------------------------------------------
*SEC rules require that we provide this average annual total return  information
through the latest calendar quarter.

                                       7
<PAGE>


FUND PROFILE
CONVERTIBLE SECURITIES FUND

This  Profile  provides a snapshot of the fund's  characteristics  as of May 31,
1999,  compared where  appropriate to an unmanaged  index.  Key elements of this
Profile are defined on pages 9 and 10.

FINANCIAL ATTRIBUTES
- ---------------------------------------------
Number of Securities                       86
Yield                                    3.8%
Conversion Premium                      25.6%
Average Weighted Maturity           5.2 years
Average Coupon                           3.7%
Average Quality                            Ba
Average Duration                    3.9 years
Foreign Holdings                        12.1%
Turnover Rate                           151%*
Expense Ratio                          0.53%*
Cash Reserves                            1.5%

*Annualized.


DISTRIBUTION BY CREDIT QUALITY (% OF BONDS)
- ---------------------------------------------
Aaa/AAA                                  0.0%
Aa/AA                                     8.3
A/A                                       2.9
Baa/BBB                                  19.4
Ba/BB                                    15.6
B/B                                      20.5
Less than B/B                             7.4
Not Rated                                25.9
- ---------------------------------------------
Total                                  100.0%


VOLATILITY MEASURES
- ---------------------------------------------
                 CONVERTIBLE
                  SECURITIES          S&P 500
- ---------------------------------------------
R-Squared              0.68              1.00
Beta                   0.66              1.00



TEN LARGEST HOLDINGS (% OF TOTAL NET ASSETS)
- ---------------------------------------------
Hewlett Packard Co.                      3.8%
Jacor Communications, Inc.               3.5
Global Telesystems Inc.                  3.1
Metamor Worldwide, Inc.                  3.0
Solectron Corp.                          2.9
WMX Technologies Inc.                    2.6
Elan Finance Corp.                       2.6
Union Pacific Capital Trust              2.5
Magna International Inc.                 2.5
Tower Automotive Inc.                    2.4
- ---------------------------------------------
Top Ten                                 28.9%


DISTRIBUTION BY MATURITY (% OF BONDS)
- ---------------------------------------------
Under 1 Year                             3.6%
1-5 Years                               41.6
5-10 Years                              54.8
10-20 Years                              0.0
20-30 Years                              0.0
Over 30 Years                            0.0
- ---------------------------------------------
Total                                  100.0%


                                       8
<PAGE>

SECTOR DIVERSIFICATION (% OF PORTFOLIO)
- --------------------------------------------------------------------------------
                                    MAY 31, 1998              MAY 31, 1999
                              --------------------------------------------------
                              CONVERTIBLE SECURITIES    CONVERTIBLE SECURITIES
                              --------------------------------------------------
Auto & Transportation ........           6.2%                      8.4%
Consumer Discretionary .......          24.2                      20.7
Consumer Staples .............           3.9                       1.5
Financial Services ...........           8.9                       5.1
Health Care ..................          11.5                      16.6
Integrated Oils ..............           0.0                       2.1
Other Energy .................           3.0                       6.6
Materials & Processing .......           2.8                       1.8
Producer Durables ............          10.9                       4.2
Technology ...................          14.7                      22.2
Utilities ....................          12.2                      10.8
Other ........................           1.7                       0.0
- --------------------------------------------------------------------------------

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 bond  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 securities 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.


                                       9
<PAGE>

BETA. A measure of the magnitude of a fund's past  share-price  fluctuations  in
relation  to the ups and downs of the  overall  market  (or  appropriate  market
index).  The market (or index) is assigned a beta of 1.00, so a fund with a beta
of 1.20  would have seen its share  price  rise or fall by 12% when the  overall
market rose or fell by 10%.

CASH  RESERVES.  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% ($5 /
$25 = 20%).

DISTRIBUTION BY CREDIT QUALITY.  This breakdown of a fund's securities by credit
rating can help in gauging the risk that  returns  could be affected by defaults
or other credit problems.

DISTRIBUTION BY MATURITY.  An indicator of interest-rate  risk. In general,  the
higher the  concentration  of  longer-maturity  issues,  the more a fund's share
price will fluctuate in response to changes in interest rates.

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.

NUMBER OF SECURITIES. An indicator of diversification.  The more separate issues
a fund holds,  the less  susceptible it is to a price decline  stemming from the
problems of a particular security.

R-SQUARED.  A measure of how much of a fund's past  returns can be  explained by
the returns from the overall market (or its benchmark  index). If a fund's total
return  were  precisely  synchronized  with the  overall  market's  return,  its
R-squared  would  be 1.00.  If a  fund's  returns  bore no  relationship  to the
market's returns, its R-squared would be 0.

SECTOR  DIVERSIFICATION.  The percentages of a fund's  securities that come from
each of the major industry groups that compose the stock market.

TEN LARGEST  HOLDINGS.  The percentage of net assets that a fund has invested in
its ten largest holdings.  As this percentage rises, a fund's returns are likely
to be more  volatile  because  they are more  dependent on the fortunes of a few
companies.

TURNOVER RATE. An indication of trading  activity during the period.  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
<PAGE>

FINANCIAL STATEMENTS
MAY 31, 1999 (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 on both a dollar and per-share  basis.
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. 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 (70.9%)
- --------------------------------------------------------------------------------
AUTO & TRANSPORTATION (5.1%)
  Magna International Inc.
   4.875%, 2/15/2005                                   $ 4,055           $ 4,156
  Offshore Logistics Inc.
   6.00%, 12/15/2003                                       300               258
  Tower Automotive Inc.
   5.00%, 8/1/2004                                       3,810             4,039
                                                                      ----------
                                                                           8,453
                                                                      ----------
CONSUMER DISCRETIONARY (17.0%)
  (1)Amazon.com, Inc.
   4.75%, 2/1/2009                                       2,000             1,880
  Data Processing Resources Corp.
   5.25%, 4/1/2005                                         365               274
  IMAX Corp.
   5.75%, 4/1/2003                                         415               484
  (1)Interpublic Group Cos., Inc.
   1.87%, 6/1/2006                                       2,545             2,192
  Jacor Communications, Inc.
   0.00%, 2/9/2018                                      10,470             5,745
  Mail-Well, Inc.
   5.00%, 11/1/2002                                      1,405             1,440
  Merrill Lynch & Co./Time Warner
  (Convertible into Time Warner)
   0.25%, 5/10/2006                                      3,235             3,178
  Metamor Worldwide, Inc.
   2.94%, 8/15/2004                                      5,715             4,901
  Scandinavian Broadcasting
   System SA
   7.00%, 12/1/2004                                      1,485             1,834


- --------------------------------------------------------------------------------
                                                          FACE            MARKET
                                                        AMOUNT            VALUE*
                                                         (000)             (000)
- --------------------------------------------------------------------------------
  Triarc Cos. Inc.
   0.00%, 2/9/2018                                       7,960             1,980
  WMX Technologies Inc.
   2.00%, 1/24/2005                                      3,975             4,273
                                                                      ----------
                                                                          28,181
                                                                      ----------
CONSUMER STAPLES (0.4%)
  Rite Aid Corp.
   5.25%, 9/15/2002                                        650               653

FINANCIAL SERVICES (2.4%)
  National Data Corp.
   5.00%, 11/1/2003                                      1,830             1,975
  (1)Security Capital U.S. Realty
   2.50%, 5/22/2003                                      2,640             2,031
                                                                      ----------
                                                                           4,006
                                                                      ----------
HEALTH CARE (16.3%)
  (1)Alpharma, Inc.
   3.00%, 6/1/2006                                       2,270             2,366
  ALZA Corp.
   5.00%, 5/1/2006                                       2,730             3,085
  Athena Neurosciences Inc.
   4.75%, 11/15/2004                                       745               769
  Aviron
   5.75%, 4/1/2005                                         650               578
  Centocor, Inc.
   4.75%, 2/15/2005                                      2,045             2,203
  Concentra Managed Care, Inc.
   4.50%, 3/15/2003                                        505               470
  (1)Elan Finance Corp.
   0.00%, 12/14/2018                                     8,340             4,233



                                       11
<PAGE>

- --------------------------------------------------------------------------------
                                                          FACE            MARKET
                                                        AMOUNT            VALUE*
CONVERTIBLE SECURITIES FUND                              (000)             (000)
- --------------------------------------------------------------------------------
  NCS HealthCare, Inc.
   5.75%, 8/15/2004                                      1,810             1,192
  Omnicare, Inc.
   5.00%, 12/1/2007                                      3,180             2,882
  Quadramed Corp.
   5.25%, 5/1/2005                                         800               492
  (1)      Roche Holdings, Inc.
   0.00%, 4/20/2010                                      1,320               769
   0.00%, 5/6/2012                                       3,690             1,813
  (1)Sepracor Inc.
   7.00%, 12/15/2005                                     4,120             3,605
  Total Renal Care Holdings
   5.625%, 7/15/2006                                     3,010             2,528
                                                                      ----------
                                                                          26,985
                                                                      ----------
INTEGRATED OILS (2.0%)
  PennzEnergy Co.
   4.95%, 8/15/2008                                      3,335             3,377
                                                                      ----------
OTHER ENERGY (2.6%)
  Pride International, Inc.
   6.25%, 2/15/2006                                      1,315             1,302
  SEACOR Holdings, Inc.
   5.375%, 11/15/2006                                    3,055             2,975
                                                                      ----------
                                                                           4,277
                                                                      ----------
PRODUCER DURABLES (3.7%)
  (1)Solectron Corp.
   0.00%, 1/27/2019                                      9,170             4,791
  Xerox Corp.
   0.57%, 4/21/2018                                      2,140             1,335
                                                                      ----------
                                                                           6,126
                                                                      ----------
TECHNOLOGY (16.8%)
  Amkor Technology, Inc.
   5.75%, 5/1/2003                                       3,140             2,967
  (1)Atmel Corp.
   0.00%, 4/21/2018                                      7,825             2,768
  Bea Systems, Inc.
   4.00%, 6/15/2005                                        675               642
  (1)Citrix Systems, Inc.
   0.00%, 3/22/2019                                      6,720             2,705
  Comverse Technology, Inc.
   4.50%, 7/1/2005                                         970             1,650
  (1)Conexant Systems, Inc.
  4.25%, 5/1/2006                                        1,610             1,694
  (1)Doubleclick Inc.
   4.75%, 3/15/2006                                        475               636
  Gilat Satellite Networks Ltd.
   6.50%, 6/3/2004                                         530               730
  Hewlett Packard Co.
   0.00%, 10/14/2017                                    10,260             6,355
  (1)LSI Logic Corp.
   4.25%, 3/15/2004                                      2,280             3,138
  Morgan Stanley Dean Witter/
   Sun Microsystems, Inc. (Convertible
   into Sun Microsystems, Inc.)
   0.00%, 5/30/2006                                      1,740             1,660
  (1)Sanmina Corp.
   4.25%, 5/1/2004                                       2,550             2,824
                                                                      ----------
                                                                          27,769
                                                                      ----------
- --------------------------------------------------------------------------------
                                                          FACE            MARKET
                                                        AMOUNT            VALUE*
                                                         (000)             (000)
- --------------------------------------------------------------------------------
UTILITIES (4.6%)
  AES Corp.
   4.50%, 8/15/2005                                      1,735             1,939
  (1)Bell Atlantic Financial Services
   4.25%, 9/15/2005                                      3,260             3,358
  Morgan Stanley Dean Witter/
   WorldCom (Convertible into
   WorldCom)
   0.00%, 3/2/2006                                       2,280             2,226
                                                                      ----------
                                                                           7,523
                                                                      ----------
- --------------------------------------------------------------------------------
TOTAL CONVERTIBLE BONDS
(Cost $114,374)                                                          117,350
- --------------------------------------------------------------------------------

                                                        SHARES
- --------------------------------------------------------------------------------
CONVERTIBLE PREFERRED STOCKS (27.6%)
- --------------------------------------------------------------------------------
AUTO & TRANSPORTATION (3.2%)
  Union Pacific Capital Trust 6.25%
   Cvt. Pfd.                                            80,300             4,196
  Federal-Mogul Financial Trust
   7.00% Cvt. Pfd.                                      20,200             1,111
                                                                      ----------
                                                                           5,307
                                                                      ----------
CONSUMER DISCRETIONARY (3.3%)
  Big Flower Press Trust I 6.00%
   Cvt. Pfd.                                            39,500             2,405
  Kmart Financing 7.75% Cvt. Pfd.                       31,600             1,768
   Metromedia International
   Group, Inc. 7.25% Cvt. Pfd.                          36,400             1,310
                                                                      ----------
                                                                           5,483
                                                                      ----------
CONSUMER STAPLES (1.1%)
  Suiza Capital Trust II
   5.50% Cvt. Pfd.                                      49,200             1,820
                                                                      ----------
ENERGY (4.0%)
o Apache Corp. 6.50% Cvt. Pfd.                          70,600             2,440
  Pogo Trust I 6.50% Cvt. Pfd.                          41,100             2,065
  Devon Finance Trust $3.25
   Cvt. Pfd.                                            35,200             2,042
                                                                      ----------
                                                                           6,547
                                                                      ----------
FINANCIAL SERVICES (2.6%)
  CNB Capital Trust I 6.00%
   Cvt. Pfd.                                            80,700             2,083
  Conseco Finance Trust IV 7.00%
   Cvt. Pfd.                                            43,400             1,777
  Innkeepers USA Trust 8.625%
   Cvt. Pfd.                                            27,300               490
                                                                      ----------
                                                                           4,350
                                                                      ----------
MATERIALS & PROCESSING (1.7%)
  Sealed Air Corp. $2.00 Cvt. Pfd.                      26,900             1,621
  International Paper Co. 5.25%
   Cvt. Pfd.                                            24,500             1,274
                                                                      ----------
                                                                           2,895
                                                                      ----------
PRODUCER DURABLES (0.5%)
  Kaufman & Broad Home Corp.
   8.25% Cvt. Pfd.                                      89,600               745
                                                                      ----------
                                       12
<PAGE>

- --------------------------------------------------------------------------------
                                                                          MARKET
                                                                          VALUE*
                                                         SHARES            (000)
- --------------------------------------------------------------------------------
TECHNOLOGY (5.1%)
  (1)oGlobal Telesystems Inc. 7.25%
   Cvt. Pfd.                                            81,000             5,052
  Loral Space & Communications
   Ltd. 6.00% Cvt. Pfd.                                 36,700             1,734
  Cellnet Data Systems 7.00%
   Cvt. Pfd.                                            50,700               995
  Unisys Corp. $3.75 Cvt. Pfd.                          11,215               719
                                                                      ----------
                                                                           8,500
                                                                      ----------
UTILITIES (6.1%)
  Winstar Communications, Inc.
   7.00% Cvt. Pfd.                                      55,700             3,258
  CalEnergy Capital Trust II
   6.25% Cvt. Pfd.                                      45,500             2,241
o Adelphia Communications Corp.
   5.50% Cvt. Pfd.                                       7,600             1,649
  ICG Communications, Inc.
   6.75% Cvt. Pfd.                                      30,900             1,506
  Intermedia Communications, Inc.
   7.00% Cvt. Pfd.                                      54,100             1,373
                                                                      ----------
                                                                          10,027
                                                                      ----------
- --------------------------------------------------------------------------------
TOTAL CONVERTIBLE PREFERRED STOCKS
  (Cost $43,848)                                                          45,674
- --------------------------------------------------------------------------------
                                                          FACE
                                                        AMOUNT
                                                         (000)
- --------------------------------------------------------------------------------
TEMPORARY CASH INVESTMENTS (6.7%)
- --------------------------------------------------------------------------------
REPURCHASE AGREEMENTS
Collateralized by U.S. Government
  Obligations in a Pooled
  Cash Account
  4.83%, 6/1/1999                                       $5,678             5,678
  4.83%, 6/1/1999--Note F                                5,359             5,359
- --------------------------------------------------------------------------------
TOTAL TEMPORARY CASH INVESTMENTS
  (Cost $11,037)                                                          11,037
- --------------------------------------------------------------------------------
TOTAL INVESTMENTS (105.2%)
  (Cost $169,259)                                                        174,061
- --------------------------------------------------------------------------------

- --------------------------------------------------------------------------------
                                                                          MARKET
                                                                          VALUE*
                                                                           (000)
- --------------------------------------------------------------------------------
OTHER ASSETS AND LIABILITIES (-5.2%)
- --------------------------------------------------------------------------------
Other Assets--Note C                                                     $4,504
Payables for Investment
  Securities Purchased                                                   (7,368)
Security Lending Collateral
  Payable to Brokers--Note F                                             (5,359)
Other Liabilities                                                          (380)
                                                                      ----------
                                                                         (8,603)
- --------------------------------------------------------------------------------
NET ASSETS (100%)
- --------------------------------------------------------------------------------
Applicable to 13,887,297 outstanding $.001
  par value shares of beneficial interest
  (unlimited authorization)                                             $165,458
================================================================================
NET ASSET VALUE PER SHARE                                                 $11.91
================================================================================
  *See Note A in Notes to  Financial  Statements.
  oNon-Income-Producing  Security. New issue that has not paid a dividend  as of
   May 31, 1999.
(1)Security 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, 1999,
   the aggregate value of these securities was $45,855,000, representing 27.7%
   of net assets.

- --------------------------------------------------------------------------------
AT MAY 31, 1999, NET ASSETS CONSISTED OF:
- --------------------------------------------------------------------------------
                                                        AMOUNT               PER
                                                         (000)             SHARE
- --------------------------------------------------------------------------------
Paid in Capital                                       $158,740            $11.43
Undistributed Net
  Investment Income                                      1,157               .08
Accumulated Net
  Realized Gains                                           759               .05
Unrealized Appreciation--Note E                          4,802               .35
- --------------------------------------------------------------------------------
NET ASSETS                                            $165,458            $11.91
================================================================================



                                       13
<PAGE>
STATEMENT OF OPERATIONS
This Statement  shows dividend and interest 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  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) on investments during the period.

- --------------------------------------------------------------------------------
                                                     CONVERTIBLE SECURITIES FUND
                                                   SIX MONTHS ENDED MAY 31, 1999
                                                                           (000)
- --------------------------------------------------------------------------------
INVESTMENT INCOME
INCOME
  Dividends                                                              $1,373
  Interest                                                                3,007
  Security Lending                                                           38
                                                                      ----------
     Total Income                                                         4,418
                                                                      ----------
EXPENSES
  Investment Advisory Fees--Note B
     Basic Fee                                                              349
     Performance Adjustment                                                (185)
  The Vanguard Group--Note C
     Management and Administrative                                          240
     Marketing and Distribution                                              16
  Custodian Fees                                                             17
  Auditing Fees                                                               4
  Shareholders' Reports                                                       9
                                                                      ----------
     Total Expenses                                                         450
- --------------------------------------------------------------------------------
NET INVESTMENT INCOME                                                     3,968
- --------------------------------------------------------------------------------
REALIZED NET GAIN ON INVESTMENT SECURITIES SOLD                           2,166
- --------------------------------------------------------------------------------
CHANGE IN UNREALIZED APPRECIATION (DEPRECIATION)
  OF INVESTMENT SECURITIES                                               10,771
- --------------------------------------------------------------------------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                    $16,905
================================================================================



                                       14
<PAGE>

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.
<TABLE>
<CAPTION>
- ---------------------------------------------------------------------------------------------------------------------------
                                                                                         Convertible Securities Fund
                                                                                  -----------------------------------------
                                                                                         Six Months                    Year
                                                                                              Ended                   Ended
                                                                                       May 31, 1999           Nov. 30, 1998
                                                                                              (000)                   (000)
- ---------------------------------------------------------------------------------------------------------------------------
INCREASE (DECREASE) IN NET ASSETS
OPERATIONS
<S>                                                                                         <C>                     <C>
         Net Investment Income                                                              $3,968                  $8,146
         Realized Net Gain (Loss)                                                            2,166                  (1,376)
         Change in Unrealized Appreciation (Depreciation)                                   10,771                 (10,995)
                                                                                         ----------------------------------
            Net Increase (Decrease) in Net Assets Resulting from Operations                 16,905                  (4,225)
                                                                                         ----------------------------------
DISTRIBUTIONS
         Net Investment Income                                                              (4,920)                 (8,273)
         Realized Capital Gain                                                                  --                 (16,111)
                                                                                         ----------------------------------
            Total Distributions                                                             (4,920)                (24,384)
                                                                                         ----------------------------------
CAPITAL SHARE TRANSACTIONS1
         Issued                                                                             13,426                  40,843
         Issued in Lieu of Cash Distributions                                                4,083                  21,712
         Redeemed                                                                          (36,166)                (50,920)
                                                                                         ----------------------------------
            Net Increase (Decrease) from Capital Share Transactions                        (18,657)                 11,635
- ---------------------------------------------------------------------------------------------------------------------------
         Total Decrease                                                                     (6,672)                (16,974)
- ---------------------------------------------------------------------------------------------------------------------------
NET ASSETS
         Beginning of Period                                                               172,130                 189,104
                                                                                         ----------------------------------
         End of Period                                                                    $165,458                $172,130
===========================================================================================================================
1Shares Issued (Redeemed)
         Issued                                                                              1,186                   3,441
         Issued in Lieu of Cash Distributions                                                  377                   1,873
         Redeemed                                                                           (3,185)                 (4,337)
                                                                                         ----------------------------------
            Net Increase (Decrease) in Shares Outstanding                                   (1,622)                    977
===========================================================================================================================
</TABLE>

                                       15
<PAGE>

FINANCIAL HIGHLIGHTS
This table  summarizes  the  fund's  investment  results  and  distributions  to
shareholders on a per-share  basis. It also presents the fund's 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.
<TABLE>
<CAPTION>
- ---------------------------------------------------------------------------------------------------------------------------
                                                                                 CONVERTIBLE SECURITIES FUND
                                                                                    YEAR ENDED NOVEMBER 30,
FOR A SHARE OUTSTANDING                  SIX MONTHS ENDED      ------------------------------------------------------------
THROUGHOUT EACH PERIOD                       MAY 31, 1999         1998         1997         1996         1995         1994
- ---------------------------------------------------------------------------------------------------------------------------
<S>                                                <C>          <C>          <C>          <C>          <C>          <C>
NET ASSET VALUE, BEGINNING OF PERIOD               $11.10       $13.01       $13.07       $12.03       $10.94       $12.89
- ---------------------------------------------------------------------------------------------------------------------------
INVESTMENT OPERATIONS
         Net Investment Income                        .27          .52          .53          .43          .52          .53
         Net Realized and Unrealized Gain (Loss)
                  on Investments                      .87         (.77)        1.17         1.29         1.26        (1.04)
                  Total from Investment Operations   1.14         (.25)        1.70         1.72         1.78         (.51)
DISTRIBUTIONS
         Dividends from Net Investment Income        (.33)        (.54)        (.47)        (.54)        (.51)        (.53)
         Distributions from Realized Capital Gains     --        (1.12)       (1.29)        (.14)        (.18)        (.91)
                  Total Distributions                (.33)       (1.66)       (1.76)        (.68)        (.69)       (1.44)
- ---------------------------------------------------------------------------------------------------------------------------
NET ASSET VALUE, END OF PERIOD                     $11.91       $11.10       $13.01       $13.07       $12.03       $10.94
- ---------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN                                        10.59%       -2.16%       14.81%       14.88%       17.10%       -4.35%
===========================================================================================================================
RATIOS/SUPPLEMENTAL DATA
         Net Assets, End of Period (Millions)        $165         $172         $189         $170         $172         $175
         Ratio of Total Expenses to
                  Average Net Assets                 0.53%*       0.73%        0.67%        0.69%        0.75%        0.73%
         Ratio of Net Investment Income to
                  Average Net Assets                 4.71%*       4.36%        4.29%        3.43%        4.63%        4.68%
         Portfolio Turnover Rate                      151%*        186%         182%          97%          46%          52%
===========================================================================================================================
*Annualized.
</TABLE>

                                       16
<PAGE>

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

A. The following  significant  accounting policies conform to generally accepted
accounting  principles  for mutual  funds.  The fund  consistently  follows such
policies in preparing its financial statements.
     1. SECURITY  VALUATION:  Equity  securities are valued at the latest quoted
sales  prices  as of the  close  of  trading  on the  New  York  Stock  Exchange
(generally  4:00 p.m.  Eastern time) on the valuation  date; such securities not
traded on the valuation date are valued at the mean of the latest quoted bid and
asked  prices.  Prices are taken from the primary  market in which each security
trades.  Bonds 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.
Temporary cash investments are valued at cost, which approximates  market value.
Securities for which market  quotations are not readily  available are valued by
methods deemed by the Board of Trustees to represent fair value.
     2.  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.
     3.  REPURCHASE  AGREEMENTS:  The fund,  along  with  other  members  of The
Vanguard  Group,  transfers  uninvested  cash balances to 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.
         4.  DISTRIBUTIONS:  Distributions  to shareholders  are recorded on the
ex-dividend  date.  Distributions  are  determined on a tax basis and may differ
from net investment  income and realized  capital gains for financial  reporting
purposes.
         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.  Discounts  on  debt
securities  purchased  are  accreted  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 performance relative
to the Credit  Suisse First Boston  Convertible  Securities  Index.  For the six
months ended May 31, 1999, the advisory fee represented an effective annual rate
of 0.41% of the fund's average net assets before a decrease of $185,000  (0.22%)
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,  1999,  the fund had  contributed  capital  of  $28,000 to
Vanguard (included in Other Assets), representing 0.02% of the fund's net assets
and 0.04% of  Vanguard's  capitalization.  The fund's  Trustees and officers are
also Directors and officers of Vanguard.

D. During the six months ended May 31, 1999, the fund purchased  $125,495,000 of
investment securities and sold $145,586,000 of investment securities, other than
temporary  cash  investments.  At November  30, 1998,  the fund had  available a
capital loss  carryforward  of  $1,465,000  to offset  future net capital  gains
through November 30, 2006.

                                       17
<PAGE>

E. At May 31, 1999, net  unrealized  appreciation  of investment  securities for
financialreporting and federal income tax purposes was $4,802,000, consisting of
unrealized  gains of  $10,825,000  on  securities  that had risen in value since
their purchase and $6,023,000 in unrealized losses on securities that had fallen
in value since their purchase.

F. The market value of securities on loan to broker/dealers at May 31, 1999, was
$5,197,000,  for  which  the fund  held  cash  collateral  of  $5,359,000.  Cash
collateral received is invested in repurchase agreements.

                                       18
<PAGE>

NOTICE TO SHAREHOLDERS ABOUT Y2K

As is well known by now,  the  approaching  calendar  change to 2000 has posed a
challenge to many computer  systems  worldwide.  Computers that are not modified
could   interpret   "00"  as  1900  rather  than  2000  and  produce  errors  in
date-dependent  calculations,  including  bond  interest  payments,  stock trade
settlements, retirement benefits, and other financial transactions.

OUR APPROACH
Vanguard  has taken this  challenge  seriously.  We have had a Year 2000 Project
under way since 1996 to fulfill our  responsibility  to  safeguard  our business
relationships and the security of our investors' accounts.
     Our internal systems are Year 2000-compliant.  They have been renovated and
thoroughly tested and are ready for the date change. As for the external systems
that  connect  with ours,  we have been  working for many  months with  clients,
business  partners,  and  providers  of products  and  services to assess  their
compliance. We have analyzed the external services we require and have developed
contingency   plans--including   provision  for   alternative   providers  where
appropriate.
     On New Year's  Day,  our  telephone  centers  will be staffed and ready for
shareholder  calls.  However,  we expect  the volume of  inquiries  over the New
Year's weekend to be high, and we encourage shareholders to check their accounts
via our website or automated telephone systems, which offer much greater service
capacity and efficiency. This will also help our live representatives to provide
a  higher  level  of  service  to  those  with  specific  transaction  or  other
service-related needs.

WHAT YOU CAN DO
We assure you we will protect our shareholders' records, so account records will
not  be  lost.  Nevertheless,  keeping  copies  of  current  records  is  always
advisable.  You  should  keep at  least  your  third-quarter  statement  and any
confirmations you receive from us between October 1, 1999, and year-end.
     If you are a registered user of Access Vanguard(TM) (www.vanguard.com), you
can retrieve this  information  through the secure "Your  Accounts"  section and
print copies for your files.  If you are not registered for Access  Vanguard and
wish to have this  flexibility,  you should register as soon as possible so that
you can receive your password and become  familiar with this service  before the
New Year's weekend.  Likewise,  you may need personal  identification numbers to
use our automated  telephone services:  Vanguard  Tele-Account(R) for individual
investors  (1-800-662-6273)  and  The  VOICE(TM)  Network  for  participants  in
employer-sponsored retirement plans (1-800-523-1188).
     Our Year 2000 Project's primary goal from the start has been to prepare our
systems  for  business  as usual on  behalf  of our  shareholders  into 2000 and
beyond.  We remain  confident  we will meet that  goal,  and we look  forward to
serving you in the years to come.


                                       19
<PAGE>
THE VANGUARD FAMILY OF FUNDS

STOCK FUNDS
- ---------------------------------------------------------
500 Index Fund
Aggressive Growth Fund
Capital Opportunity Fund
Convertible Securities Fund
Emerging Markets Stock Index Fund
Energy Fund
Equity Income Fund
European Stock Index Fund
Explorer Fund
Extended Market Index Fund*
Global Equity Fund
Gold and Precious Metals Fund
Growth and Income Fund
Growth Index Fund*
Health Care Fund
Institutional Index Fund*
International Growth Fund
International Value Fund
Mid-Cap Index Fund*
Morgan Growth Fund
Pacific Stock Index Fund
PRIMECAP Fund
REIT Index Fund
Selected Value Fund
Small-Cap Growth Index Fund*
Small-Cap Index Fund*
Small-Cap Value Index Fund*
Tax-Managed Capital Appreciation Fund*
Tax-Managed Growth and Income Fund*
Tax-Managed Small-Cap Fund*
Total International Stock Index Fund
Total Stock Market Index Fund*
U.S. Growth Fund
Utilities Income Fund
Value Index Fund*
Windsor Fund
Windsor II Fund

BALANCED FUNDS
- ---------------------------------------------------------
Asset Allocation Fund
Balanced Index Fund
Global Asset Allocation Fund
LifeStrategy Conservative Growth Fund
LifeStrategy Growth Fund
LifeStrategy Income Fund
LifeStrategy Moderate Growth Fund
STAR Fund
Tax-Managed Balanced Fund
Wellesley Income Fund
Wellington Fund

BOND FUNDS
- ---------------------------------------------------------
Admiral Intermediate-Term Treasury Fund
Admiral Long-Term Treasury Fund
Admiral Short-Term Treasury Fund
GNMA Fund
High-Yield Corporate Fund
High-Yield Tax-Exempt Fund
Insured Long-Term Tax-Exempt Fund
Intermediate-Term Bond Index Fund
Intermediate-Term Corporate Fund
Intermediate-Term Tax-Exempt Fund
Intermediate-Term Treasury Fund
Limited-Term Tax-Exempt Fund
Long-Term Bond Index Fund
Long-Term Corporate Fund
Long-Term Tax-Exempt Fund
Long-Term Treasury Fund
Preferred Stock Fund
Short-Term Bond Index Fund
Short-Term Corporate Fund*
Short-Term Federal Fund
Short-Term Tax-Exempt Fund
Short-Term Treasury Fund
State Tax-Exempt Bond Funds
  (California, Florida,
  Massachusetts, New Jersey,
  New York, Ohio, Pennsylvania)
Total Bond Market Index Fund*

MONEY MARKET FUNDS
- ---------------------------------------------------------
Admiral Treasury Money Market Fund
Federal Money Market Fund
Prime Money Market Fund*
State Tax-Exempt Money Market Funds
  (California, New Jersey,
  New York, Ohio, Pennsylvania)
Tax-Exempt Money Market Fund
Treasury Money Market Fund

VARIABLE ANNUITY PLAN
- ---------------------------------------------------------
Balanced Portfolio
Diversified Value Portfolio
Equity Income Portfolio
Equity Index Portfolio
Growth Portfolio
High-Grade Bond Portfolio
High Yield Bond Portfolio
International Portfolio
Mid-Cap Index Portfolio
Money Market Portfolio
REIT Index Portfolio
Short-Term Corporate Portfolio
Small Company Growth Portfolio

*Offers Institutional Shares.


                                       20
<PAGE>

           TRUSTEES AND OFFICERS

JOHN C. BOGLE
Founder, Senior Chairman of the Board, and
Director/Trustee of The Vanguard Group, Inc.,
and each of the investment companies in
The Vanguard Group.

JOHN J. BRENNAN
Chairman of the Board, Chief Executive Officer,
and Director/Trustee of The Vanguard Group, Inc.,
and each of the investment companies in
The Vanguard Group.

JOANN HEFFERNAN HEISEN
Vice President, Chief Information Officer, and a
member of the Executive Committee of Johnson
& Johnson; Director of Johnson & JohnsonoMerck
Consumer Pharmaceuticals Co., Women First
HealthCare, Inc., Recording for the Blind and
Dyslexic, The Medical Center at Princeton, and
Women's Research and Education Institute.

BRUCE K. MACLAURY
President Emeritus of The Brookings Institution;
Director of American Express Bank Ltd., The St.
Paul Companies, Inc., and National Steel Corp.

BURTON G. MALKIEL
Chemical Bank Chairman's Professor of
Economics, Princeton University; Director of
Prudential Insurance Co. of America, Banco Bilbao
Gestinova, Baker Fentress & Co., The Jeffrey Co.,
and Southern New England Telecommunications Co.

ALFRED M. RANKIN, JR.
Chairman, President, and Chief Executive Officer
of NACCO Industries, Inc.; Director of NACCO
Industries, The BFGoodrich Co., and The Standard
Products Co.

JOHN C. SAWHILL
President and Chief Executive Officer of The Nature
Conservancy; formerly, Director and Senior Partner of
McKinsey & Co. and President of New York University;
Director of Pacific Gas and Electric Co., Procter &
Gamble Co., NACCO Industries, and Newfield
Exploration Co.

JAMES O. WELCH, JR.
Retired Chairman of Nabisco Brands, Inc.; retired
Vice Chairman and Director of RJR Nabisco; Director
of TECO Energy, Inc., and Kmart Corp.

J. LAWRENCE WILSON
Chairman and Chief Executive Officer of Rohm & Haas
Co.; Director of Cummins Engine Co. and The Mead
Corp.; Trustee of Vanderbilt University.

            OTHER FUND OFFICERS

RAYMOND J. KLAPINSKY
Secretary; Managing Director and Secretary
of The Vanguard Group, Inc.; Secretary of
each of the investment companies in The
Vanguard Group.

THOMAS J. HIGGINS
Treasurer; Principal of The Vanguard Group, Inc.;
Treasurer of each of the investment companies in
The Vanguard Group.

          OTHER VANGUARD OFFICERS

R. GREGORY BARTON
Managing Director, Legal Department.

ROBERT A. DISTEFANO
Managing Director, Information Technology.

JAMES H. GATELY
Managing Director, Individual Investor Group.

KATHLEEN C. GUBANICH
Managing Director, Human Resources.

IAN A. MACKINNON
Managing Director, Fixed Income Group.

F. WILLIAM MCNABB, III
Managing Director, Institutional Investor Group.

MICHAEL S. MILLER
Managing Director, Planning and Development.

RALPH K. PACKARD
Managing Director and Chief Financial Officer.

GEORGE U. SAUTER
Managing Director, Core Management Group.

    "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. Frank Russell
   Company is the owner of trademarks and copyrights relating to the Russell
    Indexes. "Wilshire 4500" and "Wilshire 5000" are trademarks of Wilshire
                                  Associates.



<PAGE>


                               VANGUARD MILESTONES

                                    [GRAPHIC]
                              The Vanguard Group is
                             named for HMS Vanguard,
                        Admiral Horatio Nelson's flagship
                          at the Battle of the Nile on
                          August 1, 1798. Our founder,
                          John C. Bogle, chose the name
                        after reading Nelson's inspiring
                      tribute to his fleet: "Nothing could
                          withstand the squadron . . .
                       with the judgment of the captains,
                      together with their valour, and that
                        of the officers and men of every
                  description, it was absolutely irresistible."

                                    [GRAPHIC]
                          Walter L. Morgan, founder of
                          Wellington Fund, the nation's
                           oldest balanced mutual fund
                        and forerunner of today's family
                           of some 100 Vanguard funds,
                        celebrated his 100th birthday on
                           July 23, 1998. Mr. Morgan,
                         a true investment pioneer, died
                         six weeks later on September 2.

                                    [GRAPHIC]
                                Wellington Fund,
                        The Vanguard Group's oldest fund,
                         was incorporated by Mr. Morgan
                       70 years ago, on December 28, 1928.
                            The fund was named after
                             the Duke of Wellington,
                              whose forces defeated
                            Napoleon Bonaparte at the
                           Battle of Waterloo in 1815.


[SHIP LOGO]
[THE VANGUARD GROUP(R) LOGO]
Post Office Box 2600
Valley Forge, Pennsylvania 19482-2600

WORLD WIDE WEB
www.vanguard.com

FUND INFORMATION
1-800-662-7447

INDIVIDUAL ACCOUNT SERVICES
1-800-662-2739

INSTITUTIONAL INVESTOR SERVICES
1-800-523-1036

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.

Q822-07/26/1999
(C) 1999 The Vanguard Group, Inc.
All rights reserved.
Vanguard Marketing Corporation,
Distributor.




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