GABELLI CONVERTIBLE SECURITIES FUND INC /DE
N-30D, 1999-06-01
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[LOGO]
THE GABELLI CONVERTIBLE SECURITIES FUND, INC.


FIRST QUARTER REPORT
MARCH 31, 1999

<PAGE>

[LOGO]
THE GABELLI CONVERTIBLE SECURITIES FUND, INC.

Our cover icon represents the  underpinnings of Gabelli.  The Teton mountains in
Wyoming  represent what we believe in in America-- that  creativity,  ingenuity,
hard work and a global uniqueness  provide enduring values.  They also stand out
in an increasingly complex, interconnected and interdependent economic world.

INVESTMENT OBJECTIVE:

The Gabelli  Convertible  Securities  Fund,  Inc. is a  closed-end,  diversified
management investment company whose primary objective is to seek a high level of
total return through a combination of current income and capital appreciation by
investing in convertible securities.

                   THIS REPORT IS PRINTED ON RECYCLED PAPER.

<PAGE>

TO OUR SHAREHOLDERS,

     As hybrids, convertible securities prices are influenced by the performance
of underlying equities and the prevailing trend in corporate bond prices. In the
first quarter of 1999, large cap stocks continued to advance.  Mid and small cap
stocks also gained,  but still trailed the big cap market  favorites.  Corporate
bonds  treaded  water and the Merrill Lynch  Corporate  Bond Index  finished the
quarter with only a modest gain.


[PHOTO]
[LOGO]

INVESTMENT PERFORMANCE

     For the  first  quarter  ended  March 31,  1999,  The  Gabelli  Convertible
Securities Fund,  Inc.'s  ("Convertible  Securities Fund") net asset value (NAV)
per share  increased  1.8% to $11.45,  after  adjusting  for the $0.20 per share
distribution  paid on March 29, 1999.  This  compares to an increase of 2.6% for
the Lipper Inc. Convertible  Securities Fund Index over the same period. For the
twelve months ended March 31, 1999, the Fund increased 4.7% versus a decrease of
0.7% for the Lipper Inc. Convertible Securities Fund Index over this period.

     The  three-  and  five-year  average  annual  returns  of  the  Convertible
Securities  Fund were 9.4% and 9.2%,  respectively.  Since  inception on July 3,
1989 through March 31, 1999, the  Convertible  Securities Fund achieved a 152.5%
total return which represents an average annual return of 10.0%.

     The Fund's common shares on the New York Stock  Exchange  ended the quarter
at $11.125,  up 0.7% for the quarter,  up 9.8% for the past twelve months and up
42.8% from its initial price of $11.25 on March 31, 1995 after adjusting for the
reinvestment of dividends  totaling $3.965 per share which were paid during this
period.

     Our Fund is managed with the goal of achieving a 600-800 basis point spread
above long-term treasury yields. We hope to generate these returns over the long
term.  This is the type of  performance  that our Fund has been known for and we
anticipate will continue in the future. Of course, there are no guarantees.

     Over the past few  months  the  Fund's  shares  have  traded at an  average
discount of approximately 4% to the net asset value. At these price levels,  the
Fund is an  ideal  opportunity  for  investors  to add to their  positions.  Our
monthly cash purchase program  provides an easy way for registered  Shareholders
to acquire  additional  shares at the current market price at no commission.  In
addition,  to  underscore  that "we eat our own  cooking",  the  Adviser and its
affiliates have announced their intention to buy up to one million common shares
in the open market  (569,264 of which have been acquired to date).  The Fund has
also  instituted  a share  repurchase  program  which we  discuss  later in this
report.

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- --------------------------------------------------------------------------------
INVESTMENT RESULTS (a)(c)
                                                 Quarter
                                -----------------------------------------
                                  1st     2nd     3rd     4th     Year
                                  ---     ---     ---     ---     ----
1999:   Net Asset Value         $11.45     __      __      __        __
        Total Return              1.8%     __      __      __        __
- --------------------------------------------------------------------------------
1998:   Net Asset Value         $11.87  $11.66  $10.96   $11.45   $11.45
        Total Return              5.3%    0.0%    (4.2)%   7.4%     8.3%
- --------------------------------------------------------------------------------
1997:   Net Asset Value         $11.13  $11.38  $11.81   $11.48   $11.48
        Total Return              1.7%    3.5%    5.0%     2.8%    13.5%
- --------------------------------------------------------------------------------
1996:   Net Asset Value         $11.28  $11.33  $11.23   $11.08   $11.08
        Total Return              3.6%    1.6%    0.3%     2.6%     8.4%
- --------------------------------------------------------------------------------
1995:   Net Asset Value         $11.14  $11.51  $11.64   $11.01   $11.01
        Total Return              5.1%    5.2%    3.0%     1.1%    15.0%
- --------------------------------------------------------------------------------
1994:   Net Asset Value         $11.54  $11.39  $11.60   $10.60   $10.60
        Total Return              0.2%    (1.3)%  1.8%    (0.9)%   (0.2)%
- --------------------------------------------------------------------------------
1993:   Net Asset Value         $12.07  $12.36  $12.75   $11.52   $11.52
        Total Return              5.4%    2.4%    3.2%     1.5%    13.1%
- --------------------------------------------------------------------------------
1992:   Net Asset Value         $11.29  $11.52  $11.90   $11.45   $11.45
        Total Return              3.5%    2.0%    3.3%     3.6%    13.0%
- --------------------------------------------------------------------------------
1991:   Net Asset Value         $11.06  $11.27  $11.57   $10.91   $10.91
        Total Return              5.6%    1.9%    2.7%     1.8%    12.5%
- --------------------------------------------------------------------------------
1990:   Net Asset Value         $10.56  $10.68  $10.56   $10.47   $10.47
        Total Return              1.5%    2.1%   (1.1)%    3.8%     6.3%
- --------------------------------------------------------------------------------
1989:   Net Asset Value           __      __    $10.54   $10.51   $10.51
        Total Return              __      __      5.4%(b)  0.8%     6.3%(b)
- --------------------------------------------------------------------------------

Average Annual Returns - March 31, 1999  (a)
- --------------------------------------------
1 Year .......................   4.7%
5 Year .......................   9.2%
Life of Fund (b) .............  10.0%


(a) Total return and average  annual return  reflect  changes in net asset value
and  reinvestment of dividends and are net of expenses.  Of course,  the returns
noted represent past performance and do not guarantee future results. Investment
returns and the principal value of an investment will fluctuate. When shares are
sold  they  may be  worth  more or less  than  their  original  cost.  (b)  From
commencement of operations on July 3, 1989. (c) The Fund converted to closed-end
status on March 31, 1995.


               Dividend History - Common Stock
               -------------------------------

Payment Date            Rate Per Share      Reinvestment Price
- ------------            --------------      ------------------

March 29, 1999              $0.200                $11.04
December 28, 1998           $0.320                $11.49
September  28, 1998         $0.200                $10.52
June 26, 1998               $0.200                $11.02
March 26, 1998              $0.200                $11.10
December 26, 1997           $0.600                $10.49
September 26, 1997          $0.120                $10.44
June 27, 1997               $0.120                $ 9.96
March 27,  1997             $0.120                $ 9.63
December  27, 1996          $0.375                $ 9.51
September 23, 1996          $0.120                $ 9.73
June 24, 1996               $0.120                $10.17
March 25, 1996              $0.120                $10.41
December 27, 1995           $0.750                $10.95
September 27, 1995          $0.200                $11.10
June 27,  1995              $0.200                $11.21
December  31, 1994          $0.900                $10.60
December 31, 1993           $1.425                $11.52
December 31, 1992           $0.876                $11.45
December 31, 1991           $0.865                $10.91
December 31, 1990           $0.490                $10.47
June 28, 1990               $0.100                $10.68
March 29,  1990             $0.100                $10.55
December  29, 1989          $0.115                $10.51
- --------------------------------------------------------------------------------

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[LOGO]

WHAT WE DO

     The success of momentum investing in recent years and investors' desire for
instant  gratification have combined to make value investing appear dull. At the
risk of being dull, we will once again describe the "boring" value approach that
has  seen us  through  both  good and bad  markets  over the last 9 years at The
Gabelli  Convertible  Securities  Fund and for over 21  years at  Gabelli  Asset
Management  Company. In past reports, we have tried to articulate our investment
philosophy  and  methodology.  The following  graphic  further  illustrates  the
interplay among the four components of our valuation approach.

     Our  focus  is  on  free  cash  flow;  earnings  before  interest,   taxes,
depreciation and amortization (EBITDA) minus the capital expenditures  necessary
to grow the  business.  We  believe  free cash flow is the best  barometer  of a
business'  value.   Rising  free  cash  flow  often   foreshadows  net  earnings
improvement.  We also look at earnings per share  trends.  Unlike Wall  Street's
ubiquitous  earnings momentum  players,  we do not try to forecast earnings with
accounting  precision and then trade stocks based on quarterly  expectations and
realities.  We simply try to position  ourselves in front of long-term  earnings
uptrends.  In  addition,  we  analyze  on  and  off  balance  sheet  assets  and
liabilities such as plant and equipment,  inventories,  receivables,  and legal,
environmental  and health care issues.  We want to know  everything and anything
that will add to or detract  from our  private  market  value  (PMV)  estimates.
Finally,  we look for a catalyst;  something happening in the company's industry
or indigenous to the company itself that will surface value.  In the case of the
independent  telephone  stocks,  the  catalyst is a  regulatory  change.  In the
agricultural  equipment  business,  it is the increasing  world-wide  demand for
American  food  and  feed  crops.  In other  instances,  it may be a  change  in
management,  sale or spin-off of a division or the  development  of a profitable
new business.

     Once  we  identify  stocks  that  qualify  as  fundamental  and  conceptual
bargains,  we then become patient  investors.  This has been a proven  long-term
method for preserving and enhancing wealth in the U.S.  equities market.  At the
margin,  our new investments are focused on businesses that are well-managed and
will benefit from sustainable  long-term economic dynamics.  These include macro
trends,  such as the  globalization  of the market in filmed  entertainment  and
telecommunications, and micro trends, such as an increased focus on productivity
enhancing goods and services.

CONVERTIBLE SECURITIES ARE "HYBRIDS"

     It is important to understand our stock selection  discipline because price
movement in the underlying  equity will  generally  have the greatest  impact on
convertible  securities pricing.  The convertible  securities market consists of
bonds,  debentures,  corporate  notes,  preferred  stocks and  warrants or other
similar  securities  which may be converted  into or exchanged  for a prescribed
amount of  common  stock or other  equity  security  of the same or a  different
issuer  within a  particular  period of time at a  specified  price or  formula.
Converts are "hybrid" securities that combine the capital appreciation potential
of equities with the higher yield of fixed income instruments.

                                       3
<PAGE>

     Our strategy incorporates the purchase of convertible  securities which are
trading at a premium  above  parity  with the common  stock but which  generally
provide a higher yield and, over time, capital  appreciation.  We will also seek
out  "busted"   converts,   where  the  underlying   common  stock  has  dropped
significantly  and the values of both the  conversion  privilege and the convert
are down. Such  securities  will provide both high yields and long-term  capital
appreciation potential.

OUR INVESTMENT OBJECTIVES

     Our mandate is to preserve and enhance our  shareholders'  wealth through a
conservative, disciplined approach to convertible securities investing. Our goal
is to generate  profitable  returns in strong  markets and protect  principal in
weak markets by taking  advantage of the unique  characteristics  of convertible
securities.


GOOD THINGS COME TO THOSE WHO WAIT

     The  critical  element  to our  success  in the  equities  and  convertible
securities  markets  has been  patience  in both the  selection  process  and in
waiting for the values of portfolio positions to be recognized. We will continue
to be patient and  opportunistic  in  selecting  converts  for the Fund and will
invest in short-term  instruments  (including  time  sensitive  work-outs)  when
appropriate.  We bought mostly short-term U.S. Treasury obligations in the past.
However,  the U.S.  financial system has improved  significantly and we now take
advantage of other  short-term  alternatives.  In this regard,  the  Convertible
Securities Fund at times engages in risk arbitrage to generate returns.  By risk
arbitrage we mean investing in "event"  driven  situations;  primarily,  but not
exclusively,  in  announced  mergers,  acquisitions,  reorganizations  and other
"workout"  opportunities.  In  order  to  avoid  overall  market  risk in  these
opportunities, the Fund will concentrate on the lower risk transactions.

     We borrow a quote from Warren Buffett to explain our occasional use of risk
arbitrage in the Fund:

     "Our  subsidiaries  sometimes  engage in  arbitrage  as an  alternative  to
holding  short-term  cash  equivalents.  We  prefer,  of  course,  to make major
long-term  commitments.  But we often  have more cash than good  ideas.  At such
times arbitrage sometimes promises much greater returns than Treasury Bills and,
equally  important,  cools any temptation we may have to relax our standards for
long-term investments."

     In short, the high cash position in the Fund does not reflect any effort on
our part to time the convertible  securities  market. It is rather a consequence
of our value  oriented  discipline.  At the same time,  some of our  convertible
securities  have been called by the issuer and we either received cash or stock.
Our portfolio  turnover rate reflects this activity,  as well as our investments
in "event"  driven  situations  which were  consummated  during the year. We are
always  hard  at  work  evaluating  opportunities  and  identifying  fundamental
bargains to  progress to a more fully  invested  posture.  However,  we will not
stretch our  fundamental  parameters  and introduce  greater  market risk to the
portfolio.

                                       4
<PAGE>
COMMENTARY

     Meaningful commentary on the convertible securities market demands a review
of the macroeconomic forces impacting stocks and corporate bonds.

THE ECONOMY AND THE MARKET--A REVERSAL OF FORTUNES?

     In 1998,  the  drivers  of the market  were  declining  interest  rates and
continued  liquidity as opposed to  corporate  earnings.  For the year,  S&P 500
earnings rose a modest 2.0% and if calculated on a non-weighted basis,  earnings
were flat.  However,  the  30-year  Treasury  bond yield  dropped  nearly a full
percentage point from its March 1998 high, resulting in a significant  expansion
of equities'  price/earnings  multiples and a 28.7% annual gain for the S&P 500.

     We are faced with a mirror image  situation  today. We believe S&P earnings
can grow in the 8.0% to 10.0% range,  a terrific  showing  compared to 1998.  If
interest rates hold relatively steady near current levels, the S&P 500's current
lofty price/earnings multiple could be sustained and the market could advance in
line with earnings gains. The less optimistic picture would be rising inflation,
materially  higher interest rates,  rapidly  contracting  equity multiples and a
meaningful correction in the S&P 500. At this stage, we think either scenario is
plausible and will leave market forecasting to the Wall Street gurus.

     AMERICAN  CONSUMERS:  WILL THE ENGINE OF GLOBAL  ECONOMIC  GROWTH  CONTINUE
STEAMING ALONG?

     In our September 30, 1998 report,  we pondered the impact of our "Four M's"
(Market,  McGwire,  Monica and Meriwether) on the American  consumer.  Would the
American consumer stop spending because of global economic turmoil,  accentuated
in the U.S. and global capital markets by John Meriwether (the head of ill-fated
Long Term Capital  Management),  and the domestic  political  crisis  spawned by
President Clinton's relationship with Monica Lewinsky? Or, would the consumer be
buoyed by rising capital markets  resulting from a strong domestic economy along
with the heroics of baseball  slugger  Mark McGwire and continue to help sustain
economic  momentum  here and  overseas.  We favored  the latter  conclusion.  In
retrospect,  the American  consumer  continued to be the engine  driving  global
economic growth.

     Today, we still ask the same question.  Will the American consumer continue
to carry  the rest of the  world,  or will the  consumer  eventually  run low on
confidence  and/or the  resources  required to nourish the global  economy?  Put
another way, can the U.S.  continue to run enormous  balance of payment deficits
that provide hope and  sustenance  for the other  economies of the world as they
attempt to emerge from their economic malaise?

     We remain focused on values and individual investment opportunities. If one
looks  exclusively  at the S&P  500,  which  is  trading  at more  than 30 times
trailing  earnings,  stocks would have to be characterized as richly valued. But
in reality,  the S&P 500 is a narrow  gauge of the  market,  with the largest 25
component  stocks having an enormous  influence on the performance of the index.
The same can be said  about the  Nasdaq  Composite  Index,  which is driven by a
relative  handful  of large  technology  stocks.  However,  there are many cheap
stocks available, as reflected in the much more reasonable valuations of broader
market indices.  It is anyone's guess as to when the investing  public will stop
chasing the high  priced  market  favorites  and begin  gravitating  toward more
realistically priced stocks.  Nonetheless, we note that corporate buyers are out
in force, searching for business bargains. As we have repeatedly stated over the
past several years,  quality  companies trading at low  valuations--the  type of
stocks we  favor--should  continue  to attract  corporate  bargain  hunters  and
provide a tailwind for our portfolio.

                                       5
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- --------------------------------------------------------------------------------
                           FLOW OF FUNDS ($ BILLIONS)


Sources                  1993     1994    1995     1996     1997    1998
- -------                  ----     ----    ----     ----     ----    ----
U.S. Deals              $ 234   $  340  $  511  $   652  $   919  $1,620
Stock Buybacks             37       46      99      176      181     207
Equity Mutual Funds Net   130      119     128      222      232     159
Dividends                 158      182     205      262      275     279
                          ---      ---     ---    -----    -----   -----
Total Sources:            558      688     943    1,312    1,607   2,265
                          ---      ---     ---    -----    -----   -----

Uses
- ----
IPOs                      103       62      82      115      118     108
U.S./International
  Equity Capital Flow
U.S. Purchases of
  Non-U.S. Equities (net)  63       48      50       60       41     (25)
  International Purchases
  of U.S. Equities (net)   21        1      17       11       64     (22)
                        -----   ------  ------   ------   ------  ------
  Net Flow:                43       47      34       49      (23)     (3)
                        -----   ------  ------   ------   ------  ------

TOTAL USES:               146      109     116      164       95     105
                        -----   ------  ------   ------   ------  ------
NET FLOW OF FUNDS:      $ 413   $  579  $  827   $1,148   $1,513  $2,160
                        =====   ======  ======   ======   ======  ======

SOURCES: SECURITIES DATA CORP, INVESTMENT COMPANY INSTITUTE,
         BIRINYI ASSOCIATES.
(C) 1999 GABELLI ASSET MANAGEMENT INC.
- --------------------------------------------------------------------------------

CORPORATE BONDS

     Corporate  bonds finished the quarter flat.  Bonds may have been restrained
to a degree by assets moving back into stocks;  however, the persistently strong
economy and some renewed  inflationary  concern  played a bigger role in curbing
bond prices. As aforementioned,  we doubt bond yields will decline significantly
from current levels and certainly not return to the lows experienced in the Fall
of 1998.

CONVERTIBLE SECURITIES

     With little help likely to come in the form of  declining  interest  rates,
convertible  securities  performance  will be  primarily  dependent on the price
movement of underlying equities. Our value and smaller capitalization bias leads
us to small and mid-sized companies trading at discounted valuations. We believe
there is currently  less risk and greater upside  potential in these  securities
than in large cap stocks or convertible  securities of large cap  companies.  We
believe the portfolio will continue to enjoy a tailwind from accelerating merger
and  acquisition  activity  targeted at  smaller,  much more  reasonably  priced
companies.

CORPORATE GOVERNANCE

     The Gabelli Convertible  Securities Fund continues to consider actions that
may reduce or eliminate the market discount of its shares.  How do we accomplish
this?  There are several  factors  that  historically  have worked to narrow the
discounts of closed-end  funds.  These include  distribution  policies and stock
repurchase programs, both of which we have instituted.

DISTRIBUTION POLICY - Q & A

Q: WHAT IS A DISTRIBUTION  POLICY?
     A fund with a  distribution  policy  is a fund  which  establishes  a fixed
payment  each  year to its  shareholders  as a  percentage  of net  assets  or a
specific dollar amount. For example, a fund with a 10% distribution  policy will
pay  out  10% of its  average  net  assets  every  year,  either  on an  annual,
semi-annual or quarterly basis.


                                       6
<PAGE>

Q: WHAT IS THE BENEFIT OF A DISTRIBUTION POLICY?

     Investors  usually  favor funds that offer a constant  stream of cash, or a
predictable  yield.  Thus,  there is more  demand for funds with a  distribution
policy and historically  they trade at a more narrow discount than funds without
a distribution policy.

Q:  WHY   DID  THE  CONVERTIBLE  SECURITIES   FUND   INSTITUTE   AN  8%   ANNUAL
DISTRIBUTION POLICY? WHAT ARE THE "MECHANICS?"

     In order to  accelerate  our  effort to drive  the  current  discount  to a
premium, the Convertible Securities Fund, at a meeting of the Board of Directors
on May 13, 1998,  instituted an 8% annual distribution policy. This distribution
policy is similar in structure to the Gabelli Equity Trust, which has employed a
10% annual distribution policy since August of 1988.

     To  illustrate,  the Gabelli  Equity  Trust  currently  pays out 10% of its
average net asset value per share. The Fund's normal policy is to make quarterly
distributions  of $0.27 per share at the end of each of the first three calendar
quarters of each year.  The Fund's  distribution  in December for each  calendar
year is an adjusting distribution.  The amount is equal to the greater of 10% of
the  average of the net asset  value per share of the Fund as of the last day of
the four preceding calendar quarters or the minimum distribution requirements of
the Internal Revenue Code.

     In the case of the Gabelli  Convertible  Securities Fund, the Fund will pay
out a minimum annual distribution of 8% of the net asset value. The method is to
pay  $0.20  per  share in each of the  first  three  quarters  of the year and a
distribution  in the  fourth  quarter  of a  sufficient  amount to pay 8% of the
average  net  assets  of  the  Fund  or  to  satisfy  the  minimum  distribution
requirements of the Internal Revenue Code. The Fund recently  distributed  $0.20
per share on March 29, 1999 in line with this 8% annual distribution policy.

STOCK REPURCHASE PLAN - Q & A

Q: WHAT IS A STOCK REPURCHASE PLAN?

     A stock  repurchase plan allows a company to buy back its own shares in the
open market (in our case, the New York Stock  Exchange).  This reduces the total
number of shares outstanding and increases the earnings per share.

Q: WHEN DID THE CONVERTIBLE SECURITIES FUND IMPLEMENT A STOCK REPURCHASE PLAN?

     At a special  meeting of the Board of Directors  on October 27,  1997,  the
Board  authorized  the  repurchase  of up to 250,000  shares of the  Convertible
Securities Fund's outstanding  shares. We were the first company on the New York
Stock  Exchange  to  announce a stock  repurchase  program on this date when the
market declined 554.26 points, or 7.2%.

     The  Convertible  Securities  Fund may from time to time purchase shares of
its  capital  stock in the open market when the shares are trading at a discount
of 10% or more from the net asset value of the shares.  In total,  through March
31, 1999, 171,400 shares were repurchased in the open market since the inception
of this  stock  repurchase  plan.  Since the  discount  to net  asset  value has
narrowed  and  remained  under 10% during the first  quarter,  the Fund has been
unable to purchase  additional  shares. In fact, the discount to net asset value
was under 10% throughout most of the last year.

                                       7
<PAGE>

Q: WHAT IS THE BENEFIT OF A STOCK  REPURCHASE  PLAN?

     When the Convertible Securities Fund purchases its own shares at a discount
to NAV,  the Fund  realizes a benefit  equal to the  difference  between the net
asset value and the purchase  price.  This benefit is credited to the net assets
of the remaining  shares,  thus  boosting the NAV. The larger the discount,  the
greater the  benefit on the NAV.  Further,  the market  price is  determined  by
supply and demand factors.  If there are more sellers than buyers the price will
decline  until  buyers  enter the market to  establish  a sales  price.  A stock
repurchase program increases demand for the Convertible Securities Fund's shares
in the open market.  This provides a willing buyer of fund shares which offsets,
at least in part, sales of fund shares.

PREFERRED  STOCK - AN INVESTMENT FOR THE FUTURE

     On May 16, 1997, the Fund successfully completed its offering of cumulative
preferred  stock which is rated `AAA' by  Standard  and Poor's.  The Fund issued
1,200,000  Preferred  Shares  at $25 per  share  ($30  million)  with an  annual
dividend  rate of $2.00 per share paying  quarterly.  The  Preferred  Shares are
trading on the New York Stock  Exchange  under the symbol "GCV Pr" and closed at
$25.75 on March 31, 1999.

     How would Preferred Shares benefit Common  Shareholders?  Through March 31,
1999, the Convertible  Securities Fund has earned a 10.0% average annual return.
The Preferred Shares were issued with an annual dividend rate of 8.00%. The only
obligation that the Fund has to the Preferred  Shareholders is to pay the stated
dividend rate. Given the current market environment, we considered this to be an
ideal  opportunity to take advantage of relatively low long-term  interest rates
and to earn an excess  return for our Common  Shareholders  consistent  with our
conservative  investment  approach.  Any  return  earned in excess of the stated
dividend  rate,  which is less than the  Fund's  average  annual  return,  would
directly  benefit Common  Shareholders;  however,  any shortfall from the stated
rate would impact the Common Shareholders in the opposite fashion. Therefore, by
taking  advantage of the current  relatively low interest rate  environment  and
achieving our investment objectives, the Preferred Share issuance offers what we
believe is a  conservative  method of  potentially  adding wealth for our Common
Shareholders.

     Furthermore, Common Shareholders stand to receive certain tax benefits as a
result of the Preferred Stock offering. Since taxable income is allocated to the
Preferred  Shareholders  before Common  Shareholders,  taxable  distributions to
Common  Shareholders  are  not  required  to the  extent  they  would  be if the
Preferred  Shares were not  outstanding.  With the  completion  of the preferred
offering,  the Adviser has agreed to waive the management fee on the incremental
assets  during any year in which the net asset  value  total  return on the Fund
does not exceed the stated dividend rate on the Preferred Shares.

LET'S TALK CONVERTS

     The  following are  specifics on selected  holdings of our Fund.  Favorable
EBITDA  (Earnings  Before  Interest,   Taxes,   Depreciation  and  Amortization)
prospects do not necessarily translate into higher prices, but they do express a
positive trend which we believe will develop over time.

AIRTOUCH  COMMUNICATIONS  INC. (ATI) (6.00% CV. PFD., CL. B; 4.25% CV. PFD., CL.
C)  based in San  Francisco,  is the  world's  largest  wireless  communications
provider.  With more than 35 million  total  venture  customers in 13 countries,
AirTouch  and its partners  serve more than ten percent of the world's  wireless
subscribers.  AirTouch will offer satellite communications in the future through
its interest in the  Globalstar  satellite  system.  In April 1998,  the company
acquired MediaOne Group's (formerly US West Media Group) U.S. wireless interests
in a deal valued at almost $6 billion.  On January 15, 1999,  Britain's  largest
cellular company, Vodafone Group plc (VOD - $187.75 - NYSE), signed a definitive
merger  agreement  with ATI whereby  Vodafone  would acquire ATI for $97 per ATI
share.  Vodafone successfully topped Bell Atlantic's (BEL - $51.6875 - NYSE) $45
billion bid for AirTouch.

                                       8
<PAGE>

AMERICAN BANKERS  INSURANCE GROUP INC. (ABI) ($3.125 CV. PFD., SER. B), based in
Miami, is a leading  provider of credit insurance and  credit-related  insurance
products both in the U.S. and abroad.  Founded in 1949,  ABI has $3.3 billion in
assets.  ABI's  emphasis is on  contingent  commission  and captive  reinsurance
plans, which preserves the company's margins,  mitigates  volatility and ensures
highly visible  earnings.  Because of such plans,  ABI is not so much an insurer
but a distribution company servicing an insurance product. Since the termination
of its agreement to be acquired by Cendant Corp., ABI has focused on closing new
business in its pipeline. As such, top line growth is expected to improve in the
near future and return to a more normal 10% to 12% growth rate in 1999.

ATLANTIC  RICHFIELD CO. (ARCO) ($2.80 CV. PFD.) is the leading gasoline marketer
on the U.S.  west coast,  with 1,760  retail  sites  spread  across  California,
Arizona,  Nevada,  Oregon and  Washington.  Two  refineries  are operated in the
region.  ARCO has proven oil reserves of 2.8 billion barrels,  mainly in Alaska.
The  company's  proven gas  reserves  total 9.8  trillion  cubic  feet,  but gas
reserves of a further 15 trillion  cubic feet,  mainly in  Southeast  Asia,  are
unbooked.  BP Amoco (BPA - $100.9375 - NYSE) has reached an agreement to combine
with ARCO in an all-share  transaction  valuing ARCO at almost $27 billion.  The
deal will give BP Amoco the largest oil output of any non-state company.

CITIZENS UTILITIES CO. (5.00% CV. PFD.) provides telecommunications services and
public services to approximately  1.8 million  customers in 21 states.  Citizens
owns  83% of  Electric  Lightwave  (ELIX -  $9.125  -  Nasdaq),  a CLEC  serving
primarily the western U.S. A year ago,  management  authorized the separation of
Citizen's telecommunications  businesses and public services businesses into two
stand-alone,  publicly traded companies.  Upon separation,  which is expected to
occur in the fall,  the new company's  telecommunications  business will include
Citizen's  stake in Electric  Lightwave,  as well as  incumbent  local  exchange
carrier  operations with nearly one million access lines.  The company's  public
services   businesses,   consisting  of  natural  gas   distribution,   electric
distribution,  water  distribution  and  wastewater  treatment  facilities in 10
states, will continue to trade as Citizens  Utilities.  The company sold its 16%
stake in Centennial Cellular Corp. for approximately $205 million. Citizens also
anticipates monetizing its ownership of Century Communications' (CTYA - $46.4375
- - Nasdaq) stock and cable operations  through a sale to Adelphia  Communications
for approximately $220 million.

HILTON HOTELS CORP. (SUB. DEB. CV., 5.00%,  05/15/06) is a major lodging company
engaged in the  ownership,  management and  franchising  of hotels,  resorts and
vacation ownership properties. Based on the number of hotel rooms, Hilton is the
nation's seventh largest hotel company.  Hilton has approximately 250 hotels and
resorts in cities  throughout the United States,  including 65 owned and managed
hotels and 185 hotels under  franchise  agreements.  Hilton's hotels include the
Waldorf-Astoria   (New  York)   (owned),   the  Beverly   Hilton  (Los  Angeles)
(franchise),  the  Chicago  Hilton  (franchise)  and a 50%  interest  in  Hilton
Hawaiian Village.  Hilton's  international  hotel business is operated under the
Conrad name.  (Hotels  bearing the "Hilton" name outside the U.S. are properties
of the British  company  Ladbroke Group plc).  Hilton's  gaming  properties were
spun-off into a new company, Park Place Entertainment (PPE - $7.5625 - NYSE).

MEDIAONE  GROUP INC.  (UMG)  (4.50% CV.  PFD.,  SER.  D) is one of the  nation's
leading  broadband  services  companies.  UMG  provides  more than five  million
subscribers  in 17 states with basic and premium cable  television  services and
has recently  introduced  high speed  Internet  access,  telephone  services and
digital  television in some of its service areas.  MediaOne was created from the
1996 union of telecommunications company MediaOne Group (formerly US


                                    9
<PAGE>
West Media  Group) and  Continental  Cablevision.  Headquartered  in  Englewood,
Colorado,  MediaOne provides high quality cable television services. The company
is conducting a national upgrade of its hybrid fiber optic/coaxial cable ("HFC")
network to broadband  technology  which improves  traditional  cable service and
enables next-generation  products and services. The Group's investment interests
include 25% of Time Warner  Entertainment (which includes Warner Brothers Studio
and Home Box Office),  24% of PCS Prime Co. and almost 27% of TeleWest  plc. The
number three U.S. cable  television  company  recently  agreed to be acquired by
AT&T Corp. (T - $79.8125 - NYSE) for $56 billion.

SPRINT CORP.  (FON) ($1.50 CV. PFD., SER. 1; $1.50 CV. PFD., SER. 2; 8.25%,  CV.
PFD.)  is the  third  largest  long  distance  carrier  and the  second  largest
independent  local telephone  company in the U.S.  Sprint has positioned  itself
globally through a joint venture called  GlobalOne.  Its joint venture partners,
France Telecom and Deutsche Telekom, also have a direct 20% stake in Sprint. FON
faces risks from  prospective  new entrants in its long distance  business which
may be offset by the "ION" high bandwith  network the company is developing  and
by other new services.

WHX CORP.  (WHX) (6.50% CV. PFD.,  SER. A; $3.75 CV. PFD.,  SER. B) is a holding
company for wholly-owned subsidiary  Wheeling-Pittsburgh  Steel, America's ninth
largest integrated steel producer.  Wheeling-Pittsburgh  develops, processes and
fabricates steel (hot/cold rolled sheets and coated products) and steel products
(roof deck, form deck,  culvert,  steel framing and related products).  In 1998,
WHX  completed  its  acquisition  of Handy & Harman,  a  diversified  industrial
manufacturing  company,  for a total  consideration  of $604  million  including
assumption of $186 million in debt.

DIVIDENDS

     The Fund  recently  distributed  a  dividend  of $0.20  per share to Common
Shareholders  on March 29,  1999 in line with the Fund's 8% annual  distribution
policy. For the twelve months ended March 31, 1999, the Fund distributed a total
of $0.92 per share to Common Shareholders.  Our Preferred Shareholders were paid
a dividend of $0.50 per share on March 29,  1999.  For the twelve  months  ended
March 31, 1999,  the Preferred  Shareholders  received a total  distribution  of
$2.00 per share, which is the annual dividend rate on the Preferred Shares.

DAILY NAVS NOW DISTRIBUTED BY NASDAQ

     Since our inception,  we have made the net asset value available on nightly
recordings  through  1-800-GABELLI.  Now, Nasdaq is also disseminating the daily
per share net asset values (NAVs) for the Gabelli  Convertible  Securities Fund,
which is traded on the New York Stock Exchange. The NAV ticker symbol via Nasdaq
is "XGCVX."

     The NAVs are available through any stock quote lookup service and on broker
Nasdaq level one terminals. The dissemination of daily NAVs allows investors and
brokers to better  track the  long-term  performance  of the  Fund's  underlying
portfolio.  We  support  Nasdaq's  efforts  in  making  closed-end  funds'  NAVs
available on a daily basis.

NO COMMISSION  PURCHASES

     When the  Convertible  Securities  Fund  converted to closed-end  status on
March 31, 1995, we offered  shareholders the opportunity to sell their shares at
no commission for up to two years.  On March 31, 1997, this ability to sell your
convertible  shares at no  commission  expired.  However,  we have  extended for
another year, through December 31, 1999, our offer to shareholders to buy shares
through  our  Voluntary  Cash  Purchase  Plan  at no  commission.  This  Plan is
available  every  month.  Please see the details of this Plan at the end of this
report.

                                       10
<PAGE>

INTERNET

     You   can   now   visit   us  on   the   Internet.   Our   home   page   at
http://www.gabelli.com contains information about Gabelli Asset Management Inc.,
the Gabelli Mutual Funds, IRAs, 401(k)s,  quarterly reports,  closing prices and
other current news. You can send us e-mail at [email protected].

IN  CONCLUSION

     This  quarter,  convertible  securities  benefited  more from rising  stock
prices than declining interest rates. We believe this will continue with returns
closely aligned with underlying equities performance. Put in other words, if our
stocks do well, our convertible holdings will as well. Should stocks correct, we
believe convertibles' yield component will provide meaningful protection.

        Sincerely,

        /s/ Mario J. Gabelli
        --------------------
        Mario J. Gabelli
        President and
        Chief Investment Officer

April 30, 1999
- --------------------------------------------------------------------------------
                          Top Ten Convertible Holdings
                                 March 31, 1999
                                 --------------

Sprint ($1.50 Cv. Pfd., Ser. 1; $1.50 Cv. Pfd., Ser. 2; 8.25% Cv. Pfd.)
AirTouch Communications (6.00% Cv. Pfd., Cl. B; 4.25% Cv. Pfd., Cl. C)
American Bankers Insurance ($3.125 Cv. Pfd., Ser. B)
WHX Corp. (6.50% Cv. Pfd., Ser. A; $3.75 Cv. Pfd., Ser. B)
Hilton Hotels Corp. (Sub. Deb. Cv., 5.00%, 05/15/06)
Citizens Utilities (5.00% Cv. Pfd.)
Fieldcrest Cannon Inc. (Sub. Deb. Cv., 6.00%, 03/15/12)
MediaOne Group (4.50% Cv. Pfd., Ser. D)
Cendant Corp. (1.30% Cv. Pfd., 7.50% Cv. Pfd.)
Sequa Corp. ($5.00 Cv. Pfd.)

- --------------------------------------------------------------------------------
NOTE: The views expressed in this report reflect those of the portfolio  manager
only  through the end of the period of this  report as stated on the cover.  The
manager's  views are  subject  to change at any time  based on market  and other
conditions.


                                       11
<PAGE>


THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
PORTFOLIO OF INVESTMENTS -- MARCH 31, 1999 (UNAUDITED)
================================================================================

   PRINCIPAL                                      MARKET
    AMOUNT                                         VALUE
   --------                                       -------


             CONVERTIBLE CORPORATE BONDS -- 17.88%
             AUTOMOTIVE: PARTS AND ACCESSORIES -- 0.25%
$   550,000  Exide Corp. Sub. Deb. Cv.
               2.90%, 12/15/05................$    297,000
                                               -----------

             AVIATION: PARTS AND SERVICES -- 0.90%
  1,104,000  Kaman Corp. Sub. Deb. Cv.
               6.00%, 03/15/12................   1,080,540
                                               -----------

             BUSINESS SERVICES -- 0.72%
    900,000  BBN Corp. Sub. Deb. Cv.
               6.00%, 04/01/12 (a)............     870,021
                                               -----------

             CABLE -- 1.02%
             Rogers Communications Inc.
               Sub. Deb. Cv.
    500,000    2.00%, 11/26/05................     361,875
  1,000,000    7.50%, 09/01/99................     869,254
                                               -----------
                                                 1,231,129
                                               -----------
             COMPUTER SOFTWARE AND SERVICES -- 0.04%
     50,000  Platinum Technology International Inc.
                Sub. Deb. Cv.
                6.25%, 12/15/02...............      47,750
                                               -----------

             CONSUMER PRODUCTS -- 2.39%
  3,500,000  Fieldcrest Cannon Inc.
                Sub. Deb. Cv.
                6.00%, 03/15/12...............   2,441,249
    750,000  Standard Commercial Corp.
               Sub. Deb. Cv.
               7.25%, 03/31/07................     438,750
                                               -----------
                                                 2,879,999
                                               -----------
             CONSUMER SERVICES -- 0.08%
    100,000  Ogden Corp. Sub. Deb. Cv.
               6.00%, 06/01/02................      96,000
                                               -----------

             ELECTRONIC EQUIPMENT -- 1.04%
             ASM Lithography Holding Cv.
     40,000      2.50%, 04/09/05..............      18,910
     10,000      2.50%, 04/09/05 (b)..........       4,727
  1,250,000  Trans-Lux Corp. Sub. Deb. Cv.
               7.50%, 12/01/06................   1,226,563
                                               -----------
                                                 1,250,200
                                               -----------
             ENERGY AND UTILITIES -- 0.95%
    100,000  Halter Marine Group Inc.
                 Sub. Deb. Cv.
                 4.50%, 09/15/04..............      53,500

  1,100,000  Moran Energy Inc.
                 Sub. Deb. Cv.
               8.75%, 01/15/08................   $ 995,806
    100,000  Texaco Capital Inc. Cv.
                 3.50%, 08/05/04..............     101,130
                                               -----------
                                                 1,150,436
                                               -----------
             ENTERTAINMENT -- 1.10% 200,000
             Kushner-Locke Co.
                 Sub. Deb. Cv.
               8.00%, 12/15/00 (a)............     529,914
    800,000  Savoy Pictures Entertainment Inc.
               Sub. Deb. Cv.
               7.00%, 07/01/03................     793,000
                                               -----------
                                                 1,322,914
                                               -----------
             EQUIPMENT AND SUPPLIES -- 2.23%
  1,285,000  Intermagnetics General Corp.
               Sub. Deb. Cv.
               5.75%, 09/15/03 (b)............   1,047,275
  1,136,000  Kollmorgen Corp.
                 Sub. Deb. Cv.
               8.75%, 05/01/09................   1,160,140
    200,000  Mark IV Industries
                 Sub. Deb. Cv.
                 4.75%, 11/01/04..............     164,000
    210,000  Robbins & Myers Inc.
               Sub. Deb. Cv.
               6.50%, 09/01/03................     185,850
    150,000  Thermo Electron Corp.
               Sub. Deb. Cv.
                 4.25%, 01/01/03 (b)..........     134,063
                                               -----------
                                                 2,691,328
                                               -----------
             FOOD AND BEVERAGE -- 1.60%
    110,000  Boston Chicken Inc.
                 Sub. Deb. Cv.
               7.75%, 05/01/04+...............       5,500
    100,000  Chiquita Brands
                 International Inc. Cv.
               7.00%, 03/28/01................      92,000
             Chock Full o' Nuts Corp.
                 Sub. Deb. Cv.
  1,000,000    7.00%, 04/01/12                     973,750
    865,000    8.00%, 09/15/06................     860,675
                                               -----------
                                                 1,931,925
                                               -----------
             HEALTH CARE -- 0.59%
    750,000  Ivax Corp. Deb. Cv.
               6.50%, 11/15/01................     707,813
                                               -----------

                                       12

<PAGE>

THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
PORTFOLIO OF INVESTMENTS (CONTINUED) -- MARCH 31, 1999 (UNAUDITED)
================================================================================


   PRINCIPAL                                      MARKET
    AMOUNT                                         VALUE
   --------                                       -------


             CONVERTIBLE CORPORATE BONDS (CONTINUED)
             HOTELS AND GAMING -- 2.25%
$ 2,900,000  Hilton Hotels Corp.
               Sub. Deb. Cv.
               5.00%, 05/15/06................ $ 2,718,750
                                               -----------

             METALS AND MINING -- 0.25%
    500,000  Coeur d'Alene Mines Corp.
               Sub. Deb. Cv.
               6.00%, 06/10/02................     300,000
                                               -----------

             PAPER AND FOREST PRODUCTS -- 0.29%
    200,000  Riverwood International Corp.
               Sub. Deb. Cv.
               6.75%, 09/15/03................     230,800
    150,000  Thermo Fibertek Inc. Cv.
                 4.50%, 07/15/04 (b)..........     123,938
                                               -----------
                                                   354,738
                                               -----------
             PUBLISHING -- 0.79%
    700,000  News America Holdings Inc.
               Sub. Deb. Cv.
               Zero Cpn., 03/31/02............     868,000
   50,000(c) United News & Media plc
               Sub. Deb. Cv.
               6.125%, 12/03/03...............      85,558
                                               -----------
                                                   953,558
                                               -----------
             REAL ESTATE AND DEVELOPMENT -- 0.08%
    125,000  Rockefeller Center Properties Inc.
               Sub. Deb. Cv.
               Zero Cpn., 12/31/00............     97,031
                                              -----------

             RETAIL -- 0.84%
     60,000  Costco Companies Inc.
                 Sub. Deb. Cv.
               Zero Cpn., 08/19/17............     64,500
    100,000  JumboSports Inc.
                 Sub. Deb. Cv.
               4.25%, 11/01/00+...............      5,500
  1,000,000  Nine West Group Inc.
               Sub. Deb. Cv.
               5.50%, 07/15/03................    947,500
                                              -----------
                                                1,017,500
                                              -----------
             TELECOMMUNICATIONS -- 0.08%
             Amnex Inc. Sub. Deb. Cv.
     30,000      8.50%, 09/25/02..............      9,600
     50,000      8.50%, 09/25/02 (b)..........     16,000
     50,000  Telefonica Europe BV
               Sub. Deb. Cv.
                 2.00%, 07/15/02..............   $ 72,750
                                              -----------
                                                   98,350
                                              -----------
             TRANSPORTATION -- 0.39%
    440,000  Greyhound Lines Inc.
               Sub. Deb. Cv.
               8.50%, 03/31/07................    451,000
    140,000  WorldCorp Inc.
                 Sub. Deb. Cv.
               7.00%, 05/15/04+...............     21,525
                                              -----------
                                                  472,525
                                              -----------
             TOTAL CONVERTIBLE
             CORPORATE BONDS ................  21,569,507
                                              -----------
    SHARES
    ------

             CONVERTIBLE PREFERRED STOCKS -- 31.19%
             AVIATION: PARTS AND SERVICES -- 1.52%
             Coltec Capital Trust
     25,000      5.25% Cv. Pfd...............    1,093,750
     17,000      5.25% Cv. Pfd. (b)..........      743,750
                                               -----------
                                                 1,837,500
                                               -----------
             BROADCASTING -- 0.25%
      9,200  Granite Broadcasting Corp.
               $1.938 Cv. Pfd................      304,750
                                               -----------

             CABLE -- 2.66% 3,500 CSC Holdings Inc.
               8.50% Cv. Pfd. Ser. 1.........      390,250
     18,000  MediaOne Group
               4.50% Cv. Pfd. Ser. D.........    2,314,125
      1,500  TCI Pacific Communications Inc.
               5.00% Cv. Pfd.................      504,000
                                               -----------
                                                 3,208,375
                                               -----------
             CONSUMER SERVICES -- 1.88%
             Cendant Corp.
     90,000      1.30% Cv. Pfd................   2,064,374
      5,000      7.50% Cv. Pfd................     144,063
     18,000  Loewen Group Inc.
               6.00% Cv. Pfd. Ser. C..........      57,113
                                               -----------
                                                 2,265,550
                                               -----------
             DIVERSIFIED INDUSTRIAL -- 0.19%
      1,400  GATX Corp.
               $2.50 Cv. Pfd..................     233,800
                                               -----------

                                       13
<PAGE>

THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
PORTFOLIO OF INVESTMENTS (CONTINUED) -- MARCH 31, 1999 (UNAUDITED)
================================================================================


                                                  MARKET
    SHARES                                         VALUE
   --------                                       -------


             CONVERTIBLE PREFERRED STOCKS (CONTINUED)
             ENERGY AND UTILITIES -- 1.71%
      6,000  Atlantic Richfield Co.
               $2.80 Cv. Pfd.................. $ 2,064,000
                                               -----------

             ENTERTAINMENT -- 0.10%
      4,500  Metromedia International Group Inc.
               7.25% Cv. Pfd..................     120,375
                                               -----------
             EQUIPMENT AND SUPPLIES -- 1.91%         2,000
             Case Corp.
               $4.50 Cv. Pfd. Ser. A..........     120,500
     25,000  Sequa Corp.
               $5.00 Cv. Pfd..................   2,187,500
                                               -----------
                                                 2,308,000
                                               -----------
             FINANCIAL SERVICES -- 3.04%
     34,500  American Bankers Insurance
               $3.125 Cv. Pfd. Ser. B.........   3,639,750
      1,000  Merrill Lynch & Co.
                 6.25% Cv. Pfd................      22,500
                                               -----------
                                                 3,662,250
                                               -----------
             HOTELS AND GAMING -- 0.12%
      3,000  Station Casinos Inc.
               7.00% Cv. Pfd..................     145,500
                                               -----------
             IRON/STEEL -- 2.67% WHX Corp.
     46,000    $3.75 Cv. Pfd. Ser. B..........   1,656,000
     45,000    6.50% Cv. Pfd. Ser. A .........   1,560,938
                                               -----------
                                                 3,216,938
                                               -----------
             PAPER AND FOREST PRODUCTS -- 1.64%
     40,000  Sealed Air Corp.
               $2.00 Cv. Pfd. Ser. A..........   1,980,000
                                               -----------
             PUBLISHING -- 0.37%
     15,000  Reader's Digest
               $1.9336 Cv. Pfd................     451,875
                                               -----------
             RETAIL -- 0.20% 2,500 CVS Corp.
               6.00% Cv. Pfd..................     213,750
      2,000  Republic Industries Inc.
                 6.50% Cv. Pfd................      29,000
                                               -----------
                                                   242,750
                                               -----------
             SPECIALTY CHEMICALS -- 0.08%
      2,000  Monsanto Co.
               6.50% Cv. Pfd..................      93,000
                                               -----------
             TELECOMMUNICATIONS -- 8.56%
     65,000  Citizens Utilities Co.
               5.00% Cv. Pfd..................   2,616,250
      8,000  Philippine Long Distance
               $3.50 Cv. Pfd. Ser. III........   $ 380,000
             Sprint Corp.
      3,000    $1.50 Cv. Pfd. Ser. 1..........   1,095,000
      2,200    $1.50 Cv. Pfd. Ser. 2 .........     825,000
     74,000     8.25% Cv. Pfd.................   5,401,999
                                               -----------
                                                10,318,249
                                               -----------
             WIRELESS COMMUNICATIONS -- 4.29%
             AirTouch Communications Inc.
     12,000      4.25% Cv. Pfd. Cl. C.........   1,614,000
     42,000      6.00% Cv. Pfd. Cl. B ........   3,307,500
      8,000  Omnipoint Corp.
                 7.00% Cv. Pfd................     259,000
                                               -----------
                                                 5,180,500
                                               -----------
             TOTAL CONVERTIBLE
             PREFERRED STOCKS ................  37,633,412
                                               -----------
             COMMON STOCKS -- 19.91%

             AUTOMOTIVE: PARTS AND ACCESSORIES-- 1.17%
        396  Borg-Warner Automotive Inc.......      18,934
     30,000  LucasVarity plc, ADR.............   1,387,500
                                               -----------
                                                 1,406,434
                                               -----------
             AVIATION: PARTS AND SERVICES -- 0.19%
     18,000  Kaman Corp.......................     230,625
                                               -----------

             BUILDING AND CONSTRUCTION -- 0.02%
         17  Holderbank Financiere Glarus AG..      19,008
                                               -----------

             DIVERSIFIED INDUSTRIAL -- 0.41%
     15,000  GATX Corp........................     494,063
                                               -----------

             ENERGY AND UTILITIES -- 4.44%
     10,000  AGL Resources Inc................     175,625
      9,000  Central Hudson Gas and
               Electric Corp.                      322,313
     16,500  Cilcorp Inc......................     991,031
      8,000  Commonwealth Energy System.......     308,000
      4,000  New England Electric System......     194,000
     30,000  Orange & Rockland Utilities......   1,723,125
     60,000  Southwest Gas Corp...............   1,650,000
                                               -----------
                                                 5,364,094
                                               -----------
             EQUIPMENT AND SUPPLIES -- 3.71%
     30,000  Aeroquip-Vickers Inc.............   1,719,375
     50,000  Fedders Corp. Cl. A..............     231,250
     20,000  Reltec Corp.+....................     588,750
     20,000  U.S. Filter Corp.+...............     612,500
     36,000  Xylan Corp.+.....................   1,325,250
                                               -----------
                                                 4,477,125
                                               -----------

                                       14
<PAGE>

THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
PORTFOLIO OF INVESTMENTS (CONTINUED) -- MARCH 31, 1999 (UNAUDITED)
================================================================================

                                                   MARKET
    SHARES                                         VALUE
   --------                                       -------


             COMMON STOCKS (CONTINUED)
             FINANCIAL SERVICES -- 5.43%
     38,000  American Bankers Insurance Group. $ 1,976,000
     20,000  Argonaut Group Inc...............     513,750
    200,000  BA Merchant Services Inc.+.......   4,074,999
                                               -----------
                                                 6,564,749
                                               -----------
             HEALTH CARE -- 1.10%
     15,000  Genentech Inc.+..................   1,329,375
                                               -----------

             RETAIL -- 0.30%
     40,000  Food Lion Inc. Cl. A.............     368,125
                                               -----------

             SATELLITE -- 0.09%
      6,000  U.S. Satellite Broadcasting Co.+.     102,750
                                               -----------

             SPECIALTY CHEMICALS -- 3.05%
    100,000  Morton International Inc.........   3,675,000
                                               -----------
             TOTAL COMMON STOCKS .............  24,031,348
                                               -----------

             PREFERRED STOCKS -- 0.02%
             CABLE -- 0.02%
      1,000  MediaOne Financing Trust II Pfd..      26,188
                                               -----------

   PRINCIPAL
    AMOUNT
   --------

             CORPORATE BONDS -- 0.08%
             ENTERTAINMENT-- 0.08%
  $ 100,000  Viacom Inc.
               8.00%, 07/07/06.............        102,500
                                               -----------

             U.S. GOVERNMENT OBLIGATIONS -- 33.46%
 40,466,000  U.S. Treasury Bills, 4.26%
               to 4.78% ++,
               due 04/01/99 to 06/17/99.......  40,369,313
                                               -----------

TOTAL INVESTMENTS -- 102.54%
    (Cost $113,567,176)....................... 123,732,268
                                               -----------

OTHER ASSETS, LIABILITIES AND
  LIQUIDATION VALUE
  OF CUMULATIVE PREFERRED STOCK  --  (27.40)% . (33,069,739)
                                                -----------

  NET ASSETS -- COMMON STOCK -- 75.14%
  (7,921,545 common shares outstanding).......   90,662,529
                                                -----------
  NET ASSETS - CUMULATIVE PREFERRED
  STOCK -- 24.86%
  (1,200,000 preferred shares outstanding)....   30,000,000
                                                -----------

TOTAL NET ASSETS --  100.00% ................ .$120,662,529
                                               ============

NET ASSET VALUE  PER COMMON SHARE
 ($90,662,529 / 7,921,545 shares outstanding).      $11.45
                                                    ======

                                                   MARKET
    SHARES                                         VALUE
   --------                                       -------

             SHORT POSITIONS
             COMMON STOCKS
     12,000  Airtouch Communications Inc......$    1,159,500
      4,188  Kushner-Locke Co.................        64,914
                                              --------------
                                              $    1,224,414
                                              ==============

                                                    NET
   PRINCIPAL                       SETTLEMENT   UNREALIZED
    AMOUNT                            DATE     APPRECIATION
   --------                         --------    -----------

             FORWARD FOREIGN CURRENCY EXCHANGE
864,000 (c)  Sell British Pounds
               in exchange for
               USD 1,395,740....... 04/15/99        $2,329



- ----------------
(a) Security fair valued as determined by the Board of Directors.
(b) Security exempt from registration under Rule 144A of the Securities Act of
    1933, as amended.  These  securities may be resold in transactions  exempt
    from registration,  normally to qualified  institutional  buyers. At March
    31, 1999,  Rule 144A  securities  amounted to  $2,069,753  or 1.72% of net
    assets.
(c) Principal amount denoted in British Pounds. + Non-income producing security.
 ++ Yields represent the effective yield to maturity on the date of purchase.
USD - U.S. Dollars.
ADR - American Depositary Receipt.

                                       15
<PAGE>


                       AUTOMATIC DIVIDEND REINVESTMENT AND
                          VOLUNTARY CASH PURCHASE PLAN

ENROLLMENT  IN THE PLAN

It is the Policy of The Gabelli  Convertible  Securities
Fund, Inc. ("Convertible  Securities Fund") to automatically reinvest dividends.
As a  "registered"  shareholder  you  automatically  become a participant in the
Convertible Securities Fund's Automatic Dividend Reinvestment Plan (the "Plan").
The  Plan  authorizes  the  Convertible  Securities  Fund  to  issue  shares  to
participants upon an income dividend or a capital gains distribution  regardless
of whether the shares are trading at a discount or a premium to net asset value.
All distributions to shareholders whose shares are registered in their own names
will be automatically  reinvested  pursuant to the Plan in additional  shares of
the  Convertible  Securities  Fund.  Plan  participants  may  send  their  stock
certificates to State Street Bank and Trust Company ("State  Street") to be held
in their  dividend  reinvestment  account.  Registered  shareholders  wishing to
receive their  distribution  in cash must submit this request in writing to:

                 The Gabelli Convertible Securities Fund, Inc.
                        c/o State Street Bank and Trust
                                    Company
                                 P.O. Box 8200
                              Boston, MA 02266-8200

     Shareholders  requesting this cash election must include the  shareholder's
name and address as they appear on the share certificate.

     Shareholders with additional  questions  regarding the Plan or requesting a
copy of the terms of the Plan may  contact  State  Street  at 1 (800)  336-6983.
Shareholders  wishing to liquidate  reinvested  shares held at State Street Bank
must do so in writing or by  telephone.  Please submit your request to the above
mentioned  address  or  telephone  number.  Include in your  request  your name,
address  and  account  number.  The  cost  to  liquidate  shares  is  $2.50  per
transaction as well as the brokerage commission incurred.  Brokerage charges are
expected to be less than the usual brokerage charge for such transactions.

     If your  shares  are held in the name of a  broker,  bank or  nominee,  you
should contact such institution. If such institution is not participating in the
Plan,  your  account  will  be  credited  with  a cash  dividend.  In  order  to
participate in the Plan through such institution, it may be necessary for you to
have your shares taken out of "street name" and  re-registered in your own name.
Once  registered  in  your  own  name  your  dividends  will  be   automatically
reinvested. Certain brokers participate in the Plan. Shareholders holding shares
in "street name" at participating institutions will have dividends automatically
reinvested.  Shareholders  wishing  a cash  dividend  at such  institution  must
contact their broker to make this change.

     The number of shares of Common Stock  distributed  to  participants  in the
Plan in lieu of cash dividends is determined in the following manner.  Under the
Plan,  whenever the market price of the  Convertible  Securities  Fund's  Common
Stock is equal to or exceeds  net asset  value at the time shares are valued for
purposes of determining the number of shares equivalent to the cash dividends or
capital  gains  distribution,  participants  are issued  shares of Common  Stock
valued at the greater of (i) the net asset value as most recently  determined or
(ii) 95% of the then current market price of the Convertible  Securities  Fund's
Common Stock.  The valuation date is the dividend or  distribution  payment date
or, if that date is not a New York Stock Exchange  trading day, the next trading
day. If the net asset value of the Common Stock at the time of valuation exceeds
the market price of the Common Stock,  participants will receive shares from the
Convertible   Securities  Fund  valued  at  market  price.  If  the  Convertible
Securities Fund should declare a dividend or capital gains distribution  payable
only in cash,  State Street will buy Common Stock in the open market,  or on the
New York Stock Exchange or elsewhere,  for the  participants'  accounts,  except
that State Street will  endeavor to  terminate  purchases in the open market and
cause the  Convertible  Securities  Fund to issue  shares at net asset value if,
following the  commencement  of such  purchases,  the market value of the Common
Stock exceeds the then current net asset value.

     The automatic  reinvestment  of dividends  and capital gains  distributions
will not  relieve  participants  of any  income tax which may be payable on such
distributions.  A participant in the Plan will be treated for Federal income tax
purposes  as  having  received,  on a  dividend  payment  date,  a  dividend  or
distribution in an amount equal to the cash the participant  could have received
instead of shares.

     The  Convertible  Securities  Fund reserves the right to amend or terminate
the Plan as applied to any  voluntary  cash  payments  made and any  dividend or
distribution paid subsequent to written notice of the change sent to the members
of the  Plan at least 90 days  before  the  record  date  for such  dividend  or
distribution.  The Plan also may be amended or  terminated by State Street on at
least 90 days' written notice to participants in the Plan.


VOLUNTARY CASH PURCHASE PLAN

     The  Voluntary   Cash  Purchase  Plan  is  yet  another   vehicle  for  our
shareholders to increase their investment in the Convertible Securities Fund. In
order to participate in the Voluntary Cash Purchase Plan, shareholders must have
their shares registered in their own name.

     Participants  in the Voluntary Cash Purchase Plan have the option of making
additional  cash payments to State Street Bank and Trust Company for investments
in the  Convertible  Securities  Fund shares at the then current  market  price.
Shareholders  may send an amount  from $250 to  $10,000.  State  Street Bank and
Trust  Company will use these funds to purchase  shares in the open market on or
about the 15th of each month.  Beginning June 1, 1999, purchases will be made on
or about the 1st and 15th of each month.  State  Street  Bank and Trust  Company
will charge each  shareholder who participates  $0.75,  plus a pro rata share of
the brokerage commissions.  Brokerage charges for such purchases are expected to
be less than the usual  brokerage  charge for such  transactions.  However,  the
Fund's  Adviser,  Gabelli Funds,  LLC, has arranged that these purchases will be
executed at no commission  through  December 31, 1999. It is suggested  that any
voluntary cash payments be sent to State Street Bank and Trust Company, P.O. Box
8200,  Boston,  MA  02266-8200  such that State Street  receives  such  payments
approximately 10 days before the 15th of the month.  Funds not received at least
five  days  before  the  investment  date  shall be held for  investment  in the
following month. A payment may be withdrawn without charge if notice is received
by State Street Bank and Trust  Company at least 48 hours before such payment is
to be invested.

     For more information regarding the Dividend Reinvestment Plan and Voluntary
Cash Purchase  Plan,  brochures  are  available by calling (914)  921-5070 or by
writing directly to the Convertible Securities Fund.


                                       16
<PAGE>

                             DIRECTORS AND OFFICERS
                 THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
                    One Corporate Center, Rye, NY 10580-1434

DIRECTORS
Mario J. Gabelli, CFA
        CHAIRMAN
E. Val Cerutti
        CHIEF EXECUTIVE OFFICER
        CERUTTI CONSULTANTS, INC.
Felix J. Christiana
        FORMER SENIOR VICE PRESIDENT
        DOLLAR DRY DOCK SAVINGS BANK
Anthony J. Colavita, P.C.
        ATTORNEY-AT-LAW
        ANTHONY J. COLAVITA, P.C.
Dugald A. Fletcher
        PRESIDENT, FLETCHER & COMPANY, INC.
Karl Otto Pohl
        FORMER PRESIDENT, DEUTSCHE BUNDESBANK
Anthony R. Pustorino
        CERTIFIED PUBLIC ACCOUNTANT
        PROFESSOR, PACE UNIVERSITY
Anthonie C. van Ekris
        MANAGING DIRECTOR
        BALMAC INTERNATIONAL, INC.
Salvatore J. Zizza
        CHAIRMAN
        THE BETHLEHEM CORP.

OFFICERS AND PORTFOLIO MANAGERS
Mario J. Gabelli, CFA
        PRESIDENT & CHIEF INVESTMENT OFFICER
Bruce N. Alpert
        VICE PRESIDENT & TREASURER
Peter W. Latartara
        VICE PRESIDENT
A. Hartswell Woodson, III
        ASSOCIATE PORTFOLIO MANAGER
James E. McKee
        SECRETARY


INVESTMENT ADVISOR
Gabelli Funds, LLC
One Corporate Center
Rye, New York  10580-1434

CUSTODIAN, TRANSFER AGENT AND REGISTRAR

State Street Bank and Trust Company

Legal Counsel
Skadden, Arps, Slate, Meagher & Flom LLP

Stock Exchange Listing
                         Common   8.00% Preferred
                         ------   ---------------
NYSE-Symbol:              GCV          GCV Pr
Shares Outstanding:     7,921,545    1,200,000

The Net Asset Value  appears in the  Publicly  Traded  Funds  column,  under the
heading  "Convertible  Securities  Funds," in Sunday's The New York Times and in
Monday's  The  Wall  Street  Journal.

It is also listed in Barron's  Mutual  Funds/Closed  End Funds section under the
heading "Convertible Securities Funds".

The Net Asset Value may be obtained each day by calling (914) 921-5071.

- --------------------------------------------------------------------------------
For  general   information   about  the  Gabelli   Funds,   call   1-800-GABELLI
(1-800-422-3554),  fax us at  914-921-5118,  visit  our  Internet  homepage  at:
http://www.gabelli.com,  or e-mail us at: [email protected]
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
Notice  is hereby  given in  accordance  with  Section  23(c) of the  Investment
Company Act of 1940, as amended,  that the Convertible  Securities Fund may from
time to time  purchase  shares of its capital  stock in the open market when the
Convertible Securities Fund shares are trading at a discount of 10% or more from
the net asset value of the shares
- --------------------------------------------------------------------------------

<PAGE>
FIRST QUARTER REPORT
MARCH 31, 1999

FIRST QUARTER REPORT
MARCH 31, 1999

GCV 03/99

THE GABELLI CONVERTIBLE SECURITIES FUND, INC.
ONE CORPORATE CENTER
RYE, NY 10580-1434
(914) 921-5070
http://www.gabelli.com



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