BURNHAM FUND INC
N-30B-2, 1995-10-30
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<PAGE>

                                  [LOGO]


                                                                October 10, 1995
Dear Shareholder:

   We are pleased to present to you the Third Quarter Report of The Burnham Fund
Inc. for 1995.

   On September  30,  1995,  the Fund's net asset value per share for Class A, B
and C shares  was  $22.33,  $22.54  and  $22.32,  respectively  (with  dividends
reinvested  but without the  imposition  of the maximum sales charge for Class A
shares),  which represent  increases for the quarter of 5.37%,  5.27% and 5.28%,
respectively. In the same period, the unmanaged Standard & Poor's 500 Index rose
7.95% (including income) and the unmanaged Lehman Brothers Government/ Corporate
Bond Index rose  1.91%.  The  average  growth and income fund rose 7.12% for the
similar period, according to Lipper Analytical Services.

   The Burnham Fund paid dividends in respect of its Class A, B and C shares for
the third quarter on October 11, 1995 to shareholders of record on September 30,
1995. The  distribution of $0.20,  $0.11 and $0.14,  respectively,  consisted of
$0.15,  $0.06 and $0.09,  respectively,  for net investment income. In addition,
each class of shares received a distribution  of $0.05 from  short-term  capital
gains.

   The equity  markets have continued to leap upward during the third quarter of
1995.  Much of the  optimism  during the early part of the  quarter  was due, we
believe, to the  apparently  successful  engineering of a 'soft landing' by  the
Federal  Reserve and  continued  low  interest  rates.  Adding to this  positive
environment  was  increased  corporate  merger,  acquisition  and stock  buyback
activity,  continued strong earnings  comparisons,  a stronger U.S. dollar,  and
constructive  governmental  debate  regarding  U.S.  fiscal  policy.  The sector
leaders during the period were transportation,  telecommunications,  health care
(drugs and health management), and the financial sectors (particularly insurance
and banks).

   The Fund benefited from its positions in the quarter's leading sectors. Among
the Fund's best performing stocks were The Bank of New York, Citicorp,  American
Home Products,  Bristol-Myers Squibb, PLC Systems,  Allstate,  AT&T and American
Express.  During the period, the Fund added to positions in banking,  insurance,
autos,  computers and telephone  communications.  The Fund reduced  positions in
drugs, hotels, and oil and gas.

   As we  anticipated,  the  technology  sector has become  much more  volatile.
Increased consumer demand for personal computers and peripherals has been trying
for both manufacturers and suppliers.  Earnings for these high-growth  cyclicals
have become more difficult to predict, and the risk of earnings  disappointments
has risen. Many analysts are reducing their enthusiastic  estimates for 1995 and
1996 as positive  comparisons  of earning growth against 1994 levels have become
harder to  sustain.  We remain  positive on our  long-term  outlook for the U.S.
equity markets.




<PAGE>

                                                                       [LOGO]


   We expect  volatility  in the months ahead,  and positive  surprises one year
from now.  Inflation is low,  corporate  earnings are slowing but still healthy,
recession is unlikely to occur,  and the Fed has room to ease. We believe that a
defensive  posture is warranted  during the volatility  over the short term, but
long term we look for  opportunities  to add to our positions of quality  growth
and income stocks.

   The Fund  maintains a 28% position in short to medium term bonds.  We believe
interest rates will be favorable over the long term, but more attractive returns
may be achieved by investing  conservatively in the equity markets. As our bonds
mature,  we look to invest  some of the  proceeds in  equities  with  attractive
income  characteristics,  which  include,  but not limited to areas such as real
estate  investment  trusts and the  petroleum,  telecommunications  and  finance
industries.

   We thank you for your continued confidence in The Burnham Fund.


Very sincerely yours,



I.W. Burnham, II, President &
         Portfolio Manager



Cumulative Performance Comparison
The Burnham Fund vs. Broad Market Indices

<TABLE>
<CAPTION>
                                                 Cumulative % Change                Average Annualized % Change
                                                 -------------------                ---------------------------
                                         10 Years       5 Years      3 Years     10 Years      5 Years      3 Years
                                         --------       -------      -------     --------      -------      -------
<S>                                      <C>           <C>           <C>          <C>          <C>          <C>
The Burnham Fund
     (Class A Shares)...............     226.11%        68.39%       32.91%       12.55%       10.99%        9.95%
Standard & Poor's 500 Index
     (with dividends reinvested)....     342.58%       121.40%       52.03%       16.04%       17.23%       14.98%
Lehman Brothers Government/
     Corporate Bond Index...........     158.21%        60.27%       22.16%        9.95%        9.90%        6.90%
</TABLE>

       The  performance  data  quoted  represents  past  performance  and is not
       indicative of future  performance.  The  investment  return and principal
       value of an investment will fluctuate so that an investor's shares,  when
       redeemed,  may be worth more or less than their  original  cost.  Average
       total return for Class A shares,  assuming the  reinvestment of dividends
       and  excluding  the maximum  sales charge for the one,  five and ten year
       periods  ended  September  30,  1995  were  18.23%,  10.99%  and  12.54%,
       respectively.  Such  performance  assuming the  imposition of the Class A
       shares'  maximum  5% sales  charge for the same  periods  would have been
       12.32%, 9.85% and 11.97%, respectively. For Class B and C shares, average
       total return for the one year period ended September 30, 1995 and life of
       class total return for the period  October 18, 1993  (inception  date) to
       September  30,  1995,  were  17.50%  and  18.10%,  and 6.82%  and  7.47%,
       respectively.
                                       2
<PAGE>

                                                                        [LOGO]
                                                                       BURNHAM
                                                                         Fund 


                             INVESTMENT PERSPECTIVE
                         Equity Portfolio Distribution
                           by Industry Classification
                               September 30, 1995
 
<TABLE>
<CAPTION>
                                             % Total
                                         Equity Portfolio
                                         ----------------
 
<S>                                      <C>
Energy -- Oil & Gas...................         13.00%
Pharmaceuticals.......................          9.57%
Communications Services...............          8.86%
Telephone Companies...................          7.52%
Automotive............................          5.59%
Semiconductors........................          5.15%
Banking...............................          4.23%
Real Estate...........................          4.17%
Utilities.............................          4.14%
Hotels................................          3.26%
Computers & Software..................          3.22%
Others................................         31.29%
                                         ----------------
Total Equities........................        100.00%
                                         ----------------
                                         ----------------
</TABLE>
 
                  Total Portfolio Distribution by Asset Class
                             September 30, 1995
 
                  [SEE APPENDIX TO GRAPHIC AND IMAGE MATERIAL]
 
Top 25% Portfolio Holdings
September 30, 1995
 
<TABLE>
<CAPTION>
                                                    Number of Shares/       % of
                                                    Principal Amount        Value       Net Assets
                                                    -----------------    -----------    ----------
 
<S>                                                 <C>                  <C>            <C>
Exxon Corporation................................           45,000       $ 3,251,250       2.96%
Chrysler Corp. ..................................           60,000       $ 3,180,000       2.89%
AT&T Corp........................................           40,000       $ 2,630,000       2.39%
The Bank of New York Co., Inc.,
  7.5% conv. sub. deb. 8/15/01...................      $ 1,000,000       $ 2,393,750       2.18%
US West Inc. ....................................           50,000       $ 2,356,250       2.14%
Motorola, Inc....................................           30,000       $ 2,291,250       2.09%
Texaco Capital Inc., 8.65% gtd. notes 1/20/98....       $2,000,000       $ 2,105,532       1.92%
GTE Corp. .......................................           50,000       $ 1,962,500       1.79%
Mobil Corp. .....................................           19,000       $ 1,892,875       1.72%
Thermo Electron Corp. ...........................           40,000       $ 1,855,000       1.69%
American Express Co. ............................           40,000       $ 1,775,000       1.62%
Caremark International...........................           80,000       $ 1,720,000       1.57%
American Home Products Corp. ....................           20,000       $ 1,697,500       1.55%
                                                                         -----------    ----------
Total Top 25% Portfolio Holdings.................                        $29,110,907      26.51%
                                                                         -----------    ----------
                                                                        -----------    ----------
</TABLE>
 
                               Cumulative Return
                     of a Hypothetical $10,000 Investment*
                         from inception (June 16, 1975)
                          through September 30, 1995
 
                   SEE APPENDIX TO GRAPHIC AND IMAGE MATERIAL
 
* All  performance analyses shown herein represent  past performance and are not
  indicative of future performance. All dividends and distributions from  income
  and  capital  gains have  been  continually reinvested.  Performance  does not
  include the imposition of the maximum  5% sales charge. Performance for  other
  classes  of the Fund will be greater or  less than the data shown in the graph
  and tables based on differences in sales charges and fees paid by shareholders
  investment in the different classes of the Fund.

 
                          Average Annual Total Return
                       Period ending September 30, 1995
 
<TABLE>
<S>                         <C>
One Year.................   18.23%
Five Years...............   10.99%
Ten Years................   12.54%
Fifteen Years............   12.58%
Twenty Years.............   13.58%
</TABLE>
 

                                       3
<PAGE>

                                                                        [LOGO]
                            STATEMENT OF NET ASSETS
                               September 30, 1995
                                  (Unaudited)



                                            Number of
                                             Shares         Value(a)
- --------------------------------------------------------------------
COMMON STOCKS                 67.07%
ALUMINUM PRODUCTION            0.96%
  Aluminum Company of America.......         20,000     $  1,057,500
AUTOMOTIVE                     3.75%
  Chrysler Corp.....................         60,000        3,180,000
  General Motors Corp...............         20,000          937,500
                                                         -----------
                                                           4,117,500
                                                         -----------
BANKING                        2.84%
  The Bank of New York Co., Inc.....         20,000          930,000
  Citicorp..........................         20,000        1,415,000
  Home Financial Corp...............         50,000          771,875
                                                         -----------
                                                           3,116,875
                                                         -----------
BUILDING PRODUCTS              1.62%
  Manville Corp.....................         50,000(b)       656,250
  USG Corp..........................         40,000(b)     1,120,000
                                                         -----------
                                                           1,776,250
                                                         -----------
COMMUNICATIONS SERVICES        5.94%
  AT&T Corp.........................         40,000        2,630,000
  ECI Telecom Ltd...................         50,000        1,115,625
  GTE Corp..........................         50,000        1,962,500
  Vodafone Group ADR................         20,000(b)       820,000
                                                         -----------
                                                           6,528,125
                                                         -----------
COMPUTERS & SOFTWARE           2.16%
  Hewlett Packard Co................         10,000          833,750
  Microsoft Corp....................         10,000(b)       905,625
  Phoenix Technologies Ltd..........         50,000(b)       637,500
                                                         -----------
                                                           2,376,875
                                                         -----------
CONGLOMERATES                  1.13%
  ITT Corp..........................         10,000        1,240,000
                                                         -----------

DATA PROCESSING SYSTEMS        2.03%
  EMC Corp..........................         60,000(b)     1,087,500
  General Motors Corp. Cl. 'E'......         25,000        1,137,500
                                                         -----------
                                                           2,225,000
                                                         -----------
ENERGY - OIL AND GAS           8.72%
  Amoco Oil Co......................         25,000        1,603,125
  Chevron Corp......................         25,000        1,215,625
  Exxon Corporation.................         45,000        3,251,250
  Mobil Corporation.................         19,000        1,892,875
  Texaco Inc........................         25,000        1,615,625
                                                         -----------
                                                           9,578,500
                                                         -----------
ELECTRICAL CONNECTORS          0.70%
  AMP Inc...........................         20,000          770,000
                                                         -----------
ENGINEERING/
   INDUSTRIAL PRODUCTION       1.78%
  Thermo Electron Corp..............         40,000(b)  $  1,855,000
  Thermolyte Corp. (Note 4).........         10,000(b)       100,000
                                                         -----------
                                                           1,955,000
                                                         -----------
FOOD CHAINS                    1.39%
  McDonald's Corp...................         40,000        1,530,000
                                                         -----------
FOREST PRODUCTS                1.19%
  Georgia Pacific Corp..............         15,000        1,312,500
                                                         -----------
FOOD PRODUCTS                  1.02%
  General Mills Co..................         20,000        1,115,000
                                                         -----------
HEALTHCARE REIT                1.26%
  Meditrust SBI.....................         40,000        1,385,000
                                                         -----------
HOTELS                         2.18%
  Hilton Hotels Corp................         20,000        1,277,500
  Marriott International Inc........         30,000        1,121,250
                                                         -----------
                                                           2,398,750
                                                         -----------
INSURANCE                      2.00%
  Allstate Corp.....................         35,000        1,238,125
  Chubb Corp........................         10,000          960,000
                                                         -----------
                                                           2,198,125
                                                         -----------
MEDICAL SUPPLIES               0.73%
  PLC Systems Inc...................         40,000(b)       800,000
                                                         -----------
MINING                         0.46%
  Homestake Mining..................         30,000          510,000
                                                         -----------
OFFICE EQUIPMENT               1.47%
  Xerox Corp........................         12,000        1,612,500
                                                         -----------
PHARMACEUTICALS                6.42%
  American Home Products Corp.......         20,000        1,697,500
  Bristol Myers Squibb Co...........         20,000        1,457,500
  Caremark International Inc........         80,000        1,720,000
  Humana Inc........................         55,000        1,106,875
  Pfizer Inc........................         20,000        1,067,500
                                                         -----------
                                                           7,049,375
                                                         -----------
PHOTO PRODUCTS & SERVICES      1.08%
  Eastman Kodak Co..................         20,000        1,185,000
                                                         -----------
REAL ESTATE REIT               2.80%
  Franchise Finance Corp. of America         60,000        1,290,000
  National Golf Properties..........         60,000        1,312,500
  Sizzler Property Investments......         50,000          468,750
                                                         -----------
                                                           3,071,250
                                                         -----------
SEMICONDUCTORS                 3.46%
  Intel Corp........................         25,000        1,504,687
  Motorola, Inc.....................         30,000        2,291,250
                                                         -----------
                                                           3,795,937
                                                         -----------
                                       4

<PAGE>


                                                                         [LOGO]


                      STATEMENT OF NET ASSETS (CONTINUED)
                               September 30, 1995
                                  (Unaudited)


                                     Number of Shares
                                      Put Options, or
                                     Principal Amount       Value(a)
- --------------------------------------------------------------------
TELEPHONE COMPANIES            5.05%
  Bell Atlantic Corp................         25,000     $  1,534,375
  SBC Communications Inc............         30,000        1,650,000
  US West Inc.......................         50,000        2,356,250
                                                         -----------
                                                           5,540,625
                                                         -----------
TRAVEL RELATED &
   FINANCIAL SERVICES          1.62%
  American Express Co...............         40,000        1,775,000
                                                         -----------
UTILITIES                      2.77%
  Kansas Power & Light..............         20,000          472,500
  Montana Power & Light.............         20,000          462,500
  Puget Sound Power & Light.........         40,000          930,000
  Southern Co.......................         50,000        1,181,250
                                                         -----------
                                                           3,046,250
                                                         -----------
  TOTAL COMMON STOCKS...............                      73,655,062
                                                         -----------
PUT OPTIONS                    0.02%
  Standard & Poor's 100 Nov. 1995 @ 520    100 puts(b)        18,750
                                                         -----------
  TOTAL PUT OPTIONS.................                          18,750
                                                         -----------
CONVERTIBLE PREFERRED STOCK    0.52%
  Storage Technology Corp.
   $3.50 cum. conv. pfd.............         10,000          572,500
                                                         -----------
  TOTAL CONVERTIBLE
   PREFERRED STOCK..................                         572,500
                                                         -----------
CORPORATE CONVERTIBLE BONDS    3.32%
BANKING                        2.18%
  The Bank of New York Company, Inc.,
   7 1/2% conv. sub. deb. 8/15/01...     $1,000,000        2,393,750
                                                         -----------
ELECTRONICS                    0.23%
  VLSI Technology Inc.,
   8 1/4% conv. sub. note 10/01/05..        250,000          255,000
                                                         -----------
STEEL                          0.44%
  USX Corp.,
   7% conv. sub. deb. 6/15/17.......        500,000          476,250
                                                         -----------
UTILITIES                      0.47%
  Consolidated Natural Gas Co.,
   7 1/4% conv. sub. deb. 12/15/15..        500,000          517,500
                                                         -----------
  TOTAL CORPORATE CONVERTIBLE
    BONDS...........................                       3,642,500
                                                         -----------
CORPORATE BONDS               26.50%
BANKING                        1.88%
  Chase Manhattan Corp.,
   7 7/8% sub. notes 8/01/04........      1,000,000        1,022,158
  Morgan (J.P.) & Co., Inc.,
   7 5/8% sub. notes 11/15/98.......      1,000,000        1,038,108
                                                         -----------
                                                           2,060,266
                                                         -----------
BROADCASTING                   0.48%
Ackerley Communications, Inc.,
   10 3/4% sr. secured notes
    'Series A' 10/01/03.............    $   500,000     $    530,000
                                                         -----------
BUILDING PRODUCTS              1.83%
  USG Corp., 8% sr. notes 12/15/96          500,000          502,870
  USG Corp., 8% sr. notes 3/15/97         1,500,000        1,509,725
                                                         -----------
                                                           2,012,595
                                                         -----------
CHEMICALS                      1.35%
  duPont (E.I.) de Nemours & Co.,
   6% notes 12/01/01................      1,000,000          973,750
  duPont (E.I.) de Nemours & Co.,
   6 3/4% notes 10/15/02............        500,000          506,877
                                                         -----------
                                                           1,480,627
                                                         -----------
COMMUNICATION SERVICES         0.91%
  Storer Communications Inc.,
   10% deb. 5/15/03.................      1,000,000        1,005,000
                                                         -----------
ENERGY - OIL & GAS             0.87%
  Maxus Energy Corp.,
   9 3/8% notes 11/01/03............      1,000,000          955,000
                                                         -----------
FINANCIAL SERVICES             8.93%
  Exxon Capital Corp.,
   7 7/8% gtd. notes 4/15/96........      1,000,000        1,010,430
  Ford Motor Credit Corp.,
   9 1/4% notes 6/15/98.............      1,000,000        1,069,918
  General Electric Capital Corp.,
   8% notes 1/15/98.................      1,000,000        1,037,894
  GMAC Corp.,
   7.65% notes 2/04/97..............        400,000          407,429
  GMAC Corp.,
   7 3/4% notes 4/15/97.............      1,000,000        1,012,542
  GMAC Corp.,
   7 3/4% notes 1/15/99.............      1,000,000        1,038,053
  MGM Grand Hotel Finance Corp.,
   11 3/4% gtd. notes 5/01/99.......      1,000,000        1,070,000
  Texaco Capital Inc.,
   9% gtd. notes 11/15/97...........      1,000,000        1,051,250
  Texaco Capital Inc.,
   8.65% gtd. notes 1/30/98.........      2,000,000        2,105,532
                                                         -----------
                                                           9,803,048
                                                         -----------
FOOD & BEVERAGE                0.44%
  Spreckles Industries Inc.,
   11 1/2% sr. sec. notes 9/01/00...        500,000          485,000
                                                         -----------
                                       5

<PAGE>


[LOGO]



                      STATEMENT OF NET ASSETS (CONCLUDED)
                               September 30, 1995
                                  (Unaudited)


<PAGE>



                                         Principal
                                           Amount           Value(a)
- --------------------------------------------------------------------
FOOD & TOBACCO                 1.92%
  Philip Morris Companies Inc.,
   9 1/4% 12/01/97..................     $1,000,000     $  1,060,210
  RJR Nabisco, 8% notes 1/15/00.....      1,000,000        1,045,000
                                                         -----------
                                                           2,105,210
                                                         -----------
HOTELS                         2.23%
  Marriott Corp.,
   9 5/8% sr. notes 'B' 2/01/96.....        525,000          526,050
  Marriott Corp.,
   8 1/8% sr. notes 'C' 12/01/96....        450,000          442,980
  Marriott Corp.,
   8 7/8% sr. notes 'D' 5/01/97.....        115,000          114,485
  Marriott Corp.,
   9 7/8% sr. notes 'E' 11/01/97....        850,000          850,257
  Marriott Corp., 9 3/8% deb. 6/15/07       500,000          511,602
                                                         -----------
                                                           2,445,374
                                                         -----------
PAPER PRODUCTS                 1.69%
  Kimberly Clark Corp.
   9% notes 8/01/00.................        700,000          774,551
  Riverwood International Corp.,
   10 3/4% sr. notes II 6/15/00.....        500,000          542,500
  Riverwood International Corp.,
   10 3/4% sr. notes 6/15/00........        500,000          542,500
                                                         -----------
                                                           1,859,551
                                                         -----------
PHARMACEUTICALS                1.92%
  Johnson & Johnson,
   7 3/8% euronotes 11/09/97........      1,000,000        1,025,625
  Lilly (Eli) & Co.,
   8 1/8% notes 12/01/01............      1,000,000        1,084,224
                                                         -----------
                                                           2,109,849
                                                         -----------
TELEPHONE COMPANIES            1.59%
  Bell South TeleCommunications Inc.,
   6 1/4% notes 5/15/03.............      1,000,000          980,436
  Southwestern Bell Corp.,
   8.30% notes 6/01/96..............        750,000          760,874
                                                         -----------
                                                           1,741,310
                                                         -----------
UTILITIES                      0.46%
  AES Corp.,
   9 3/4% sr. sub. notes 6/15/00....        500,000          510,625
                                                         -----------
   TOTAL CORPORATE BONDS............                      29,103,455
                                                         -----------
COMMERCIAL PAPER               1.76%
  Associates Corp. of NA,
   6.10% 10/02/95...................      1,931,900        1,931,900
                                                         -----------
   TOTAL COMMERCIAL PAPER...........                       1,931,900
                                                         -----------


                                                            Value(a)
- --------------------------------------------------------------------
TOTAL INVESTMENTS             99.19%                    $108,924,167
CASH AND OTHER ASSETS,
     LESS LIABILITIES          0.81%                         889,879
                             ------                      -----------
NET ASSETS                   100.00%                    $109,814,046
                             ======                      ===========

CLASS A SHARES
(Equivalent to $22.33 per share based on
4,889,403.880  shares of Capital Stock outstanding.)

CLASS B SHARES
(Equivalent to $22.54 per share based on
27,482.117 shares of Capital Stock outstanding.)

CLASS C SHARES
(Equivalent to $22.32 per share based on
124.960 shares of Capital Stock outstanding.)

- -------------------
(a)  Investments  in  securities  traded on a national  securities  exchange are
valued at the last  reported  sales price on the primary  exchange on which they
are traded on the last  business  day of the  period.  Securities  traded in the
over-the-counter  market (including securities listed on exchanges whose primary
market is believed to be  over-the-counter)  and listed  securities for which no
sale was reported on that date are valued at the mean between the last  reported
bid and asked prices.  Short-term money market instruments which have a maturity
of more  than 60 days are  valued  at  prices  based on  market  quotations  for
securities  of  similar  type,  yield  and  maturity.  Short-term  money  market
instruments  which  have a maturity  of 60 days or less are valued at  amortized
cost which approximates value.

(b)  Non-income producing security.

                                       6
<PAGE>


                                                                         [LOGO]



                     [THIS PAGE LEFT INTENTIONALLY BLANK.]


                                       7

<PAGE>

                                                                        

OFFICERS OF THE FUND
 
I.W. Burnham, II President
  and Chief Executive Officer
Jon M. Burnham, Executive Vice President
Michael E. Barna, First Vice President
  Chief Financial Officer, Treasurer and Secretary
Ronald M. Geffen, Vice President
Debra B. Hyman, Vice President
Frank A. Passantino, Vice President and Assistant Secretary
Louis S. Rosenthal, Vice President
Leon C. Sunstein, Jr., Vice President
Mara D. Cohen, Assistant Treasurer
 
INVESTMENT ADVISER
 
Burnham Asset Management Corporation
1325 Avenue ofthe Americas
New York, New York 10019
 
DISTRIBUTOR
 
Burnham Securities Incorporated
1325 Avenue of the Americas
New York, New York 10019
Telephone: 1 (800) 874-FUND
 
CUSTODIAN AND TRANSFER AGENT
 
State Street Bank and Trust Company
225 Franklin Street
Boston, Massachusetts 02110
 
LEGAL COUNSEL
 
Skadden, Arps, Slate, Meagher & Flom
919 Third Avenue
New York, New York 10022
 
SERVICING AGENT

 
Boston Financial Data Services, Inc.
2 Heritage Drive
North Quincy, Massachusetts 02171
 
This report has been prepared for the information of shareholders of The Burnham
Fund Inc. and is not authorized for distribution to prospective investors unless
preceded or accompanied by an effective prospectus that includes information
regarding the Fund's objectives, policies, management, records and other
information.
 

QUARTERLY REPORT
September 30, 1995
 
CONTINUITY                      KNOWLEDGE
[PHOTOGRAPH OF CLOCK]           [PHOTOGRAPH OF CHESS PIECE]

                        [LOGO]

GROWTH                          INCOME
[PHOTOGRAPH OF STEPS]           [PHOTOGRAPH OF COINS]


Burnham Securities Inc.
PRINCIPLE DISTRBUTOR
 
<PAGE>
                     APPENDIX TO GRAPHIC AND IMAGE MATERIAL
 
Graph 1 Page 3 of Report 'Total Portfolio Distribution by Asset Class'
 
The pie chart sets out to describe the asset  allocation of  The Burnham Fund as
of  September  30,   1995.  The  asset allocation is broken out in the following
manner:  Common  Stocks,  Convertible  Preferred  Securities  and Options - 68%;
Corporate  & Convertible bonds  - 30%; Cash equivalents  - 2%.
 
Graph  2  Page  3  of  Report  'Cumulative  Return  of  a  Hypothetical  $10,000
Investment'
 
The  line  chart  describes  a  hypothetical  investment  of  $10,000  over  the
investment period  June  16,  1975  (inception  date)  to  September  30,  1995.
The  performance  figures  do  not  include  the imposition of the maximum sales
charge  of 5%. All dividends  and distributions  from income  and capital  gains
have  been  continually  reinvested. The performance in the graph represent past
performance  and  are  not  indicative of future performance. The performance at
the  end  of    the  period  reflects  a  total  hypothetical  value of $117,064
representing  a  cumulative total return of 1,070.64% and an annualized compound
rate of return of 12.86%.





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