TORRAY FUND
N-30D, 1996-08-29
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JUNE 30, 1996

Dear Fellow Shareholder,

     The Torray Fund earned 8.4% during the first half of 1996. Since we began
operations 5 1/2 years ago, its return stands at 18.8% compounded annually.
Charts on pages 4 and 5 graphically illustrate these results and compare them to
the general stock market as measured by the Standard & Poor's 500 Stock Index.

     We remain highly confident and enthusiastic about the business fundamentals
of the companies in our portfolio. In fact, during the first half of this year,
we used the money received from existing and new shareholders to buy more of the
same stocks we have favored all along. We also made initial investments in
American Express, Crown Cork and Seal, Eastman Chemical Company, and the Walt
Disney Company.

     As I have mentioned in the past, the deferral of taxes plays an important
role in our management of your assets. This, of course, is because a lot of
money can be made earning double-digit returns on funds which otherwise would
have gone to the tax collector. So far we have been successful in this regard.
Even assuming the highest tax rates on ordinary income and capital gains, Torray
Fund shareholders have made 17.5% compounded after taxes over the last 5 1/2
years. This result was achieved simply by holding onto our investments, as
opposed to trading them.

     In last year's Annual Report I expressed the opinion that neither your
Fund's 50.4% return that year nor the market's 37.5% rise was likely to repeat
anytime soon. Our 1995 mid-year letter said that we thought the speculative boom
in technology shares would probably end badly and that a collapse in tech stocks
was apt to cause a sag in the market. As I write, late in July, these views, to
some extent, have been confirmed. Many technology stocks are down sharply, and
the general market has slumped from its highs reached earlier in the year.

     The market's sudden change in direction, coupled with its increased
volatility, has caused much hand wringing. One Wall Street analyst, famous at
the time for forecasting the October 1987 crash, recently predicted a 15-20%
market dive; and The Wall Street Journal reports that a well-known strategist
thinks the Dow Jones average will drop 1,000 points. (On the flip side, it says
another predicts just the opposite.) Other gurus, advisory services and the
media also warn of a possible downturn. Some see a 5% correction, others a
protracted bear market. Similar forebodings from many of the same sources were
heard in 1994. At the time, we urged shareholders to ignore them; we still think
that's a good idea.

                                       1

<PAGE>

JUNE 30, 1996

     Our June 1994 report reviewed the history of stock returns over the 68
years (816 months) from 1925 to 1993. During that period, $1 invested in stocks
became $800. However, nearly all of the return was generated in just 30 of those
months. This statistic, we said, illustrated the futility of trying to profit by
catching major market advances or to avoid losses by getting out ahead of market
declines. The historic odds against riding only the upswings were, at that
point, 27 to 1 -- surely enough to make a person think twice. The odds today are
about the same. Figures updated through December 31, 1995 are now available
courtesy of Ibbotson Associates, Chicago, Illinois. One dollar invested in
stocks 70 years ago was worth $1,114 at last year's close. Absent the market's
35 best months out of a total 840 months, however, it would have grown to only
$10.16. Even U.S. Treasury Bills did better, turning a dollar into $12.87.

     The revisiting of these numbers instructs us anew to forget about the
market and to reject the forecasts of "experts", many of whom cloak their views
in a mist, presumably so they can later claim they were right regardless of the
outcome. Instead, we should rely on what we know: over time, good businesses
produce high returns for their owners. Value derives from the business, not from
the stock. Unfortunately, a lot of people believe the opposite. As I noted in an
earlier report, portfolio management has evolved into a momentum-driven battle
for short-term performance. In this arena, the direction of stock prices is
controlling, not business fundamentals. The release of quarterly earnings and
current economic data at odds with analysts' expectations often triggers waves
of buying and selling on the exchanges, even though the information is
meaningless in a long-term context. For example, a recent employment report
showing that 50,000 people had found jobs above the number Wall Street expected
was interpreted by portfolio managers as a sign inflation would soon accelerate.
In response, bond prices fell and the Dow Jones average sank 165 points. Later
the same day, the Dow recovered to a gain of 50 points, then lost 80, and
finally closed up 7. Volume was an all-time record 680 million shares. In the
end, nothing had been accomplished and nothing had changed, except that certain
stocks which began the day in portfolio "A", now could be found in portfolio
"B". Boeing was still making airplanes, Citicorp was lending, and Salomon was
trading bonds around the clock, around the world. It was a day of prosperity for
the brokers only.

     Wall Street's confounding reaction to the recent release of second quarter
earnings by IBM (a Torray Fund holding) and Microsoft serves to further
illustrate how irrelevant statistics often influence institutional decision
making. Nearly everyone, it seems, expected IBM's earnings to be off. For this
reason, and also reflecting the crash in many technology stocks, IBM shares had
fallen from a 52-week high of $128 per share to $90. While the earnings were
indeed 22% lower than those of the previous quarter, they also proved to be 7
cents a share above analysts' predictions --

                                       2

<PAGE>


JUNE 30, 1996

an amount totaling $38 million on IBM's 540 million outstanding shares. This is
an insignificant sum -- a rounding error so to speak -- to a company earning $6
billion on sales of $77 billion. You would never know it, though, judging from
the action at the New York Stock Exchange. In heavy trading, IBM's shares jumped
$12 to close at $102, a rise which added $6.5 billion to the company's market
value in just a few hours. Thus, institutions which had valued IBM at only 8
times earnings in the morning, now multiplied the $38 million surprise by 170 in
the afternoon. In sharp contrast, several days earlier, Microsoft announced that
its earnings were up 50%, but the stock dropped 5 points because analysts had
expected more. These examples are just the tip of the iceberg when it comes to
measuring how nonsensical and wasteful of investor's money much of the portfolio
management business has become. Among other things, it makes one wonder if some
financial executives shouldn't consult an analyst of a different kind.

     In closing, I want each of you to know that we believe the long-term
outlook for your investment is excellent. Reflecting our confidence, the Torray
Fund's management, Trustees and their families have increased their collective
ownership to 659,993 shares, representing 21.2% of the Fund's total
capitalization. We also want to reaffirm our promise that shareholders' expenses
will not exceed 1.25% of assets. In keeping with this commitment, the Torray
Corporation, during the first half of 1996, reimbursed the Fund for $100,265 of
its expenses.

     Once again, please know that we greatly appreciate your confidence. If you
have any questions about your investment, feel free to contact us directly. You
are also welcome to visit if you find yourself in our area.

                                                Sincerely,

                                                /s/ Robert E. Torray

                                                Robert E. Torray
                                                PRESIDENT
                                                THE TORRAY CORPORATION

                                       3

<PAGE>
THE TORRAY FUND

PERFORMANCE DATA

AS OF JUNE 30, 1996 (UNAUDITED)

      TOTAL RATES OF RETURN ON HYPOTHETICAL $10,000 INVESTMENT VS. S&P 500

                    FOR EACH OF THE YEARS OR PERIODS STATED

<TABLE>
<CAPTION>
                          1991       1992       1993       1994       1995      6/30/96     5 1/2 YEARS
<S>                      <C>        <C>        <C>        <C>        <C>        <C>         <C>
THE TORRAY FUND          19.98 %    21.04 %    6.37  %    2.41  %    50.41 %     8.39  %       157.93%
S&P 500                  30.48 %    7.66  %    10.09 %    1.30  %    37.54 %    10.04  %       137.12%
</TABLE>

Table 1



                                       4

<PAGE>
THE TORRAY FUND

PERFORMANCE DATA

AS OF JUNE 30, 1996 (UNAUDITED)

   CHANGE IN VALUE OF $10,000 INVESTED ON DECEMBER 31, 1990 (COMMENCEMENT OF
                                  OPERATIONS)

             (ASSUMING REINVESTMENT OF DIVIDENDS AND DISTRIBUTIONS)

<TABLE>
<CAPTION>
                         12/31/90      1991        1992        1993        1994        1995       6/30/96
<S>                      <C>          <C>         <C>         <C>         <C>         <C>         <C>
THE TORRAY FUND          $10,000      $11,999     $14,523     $15,448     $15,821     $23,796     $25,793
S&P 500                  $10,000      $13,048     $14,047     $15,465     $15,666     $21,547     $23,710
</TABLE>

Table 2
                          AVERAGE ANNUAL TOTAL RETURNS
                       (FOR PERIODS ENDED JUNE 30, 1996)

<TABLE>
<CAPTION>

                1 Year     2 Years     3 Years     4 Years     5 Years     5 1/2 Years
<S>             <C>        <C>         <C>         <C>         <C>           <C>
TORRAY FUND     34.12%      29.40%      20.45%      17.92%      18.02%       18.82%
S&P 500         25.92%      25.99%      17.19%      16.27%      15.70%       17.01%
</TABLE>



                                       5

<PAGE>
THE TORRAY FUND

SCHEDULE OF INVESTMENTS

AS OF JUNE 30, 1996 (UNAUDITED)

<TABLE>
<CAPTION>
       PRINCIPAL AMOUNT
              OR SHARES                                                   VALUE

<S>                                                                    <C>
U.S. GOVERNMENT OBLIGATIONS 0.3%
                200,000  U.S. Treasury Bill                            $   195,680
                         5.454% due 11/29/96
TOTAL U.S. GOVERNMENT OBLIGATIONS                                          195,680
(amortized cost $195,513)

COMMON STOCK 99.8%
       MANUFACTURING 55.2%
       ICE CREAM & FROZEN DESSERTS 3.0%
                 65,000  Dreyer's Grand Ice Cream, Inc.                  2,047,500
       BAKERY PRODUCTS 2.7%
                 68,000  Interstate Bakeries Corp.                       1,819,000
       GRAIN MILL PRODUCTS 4.1%
                 43,000  Ralston Purina Group                            2,757,375
       METAL CANS 2.0%
                 30,000  Crown Cork & Seal Co.                           1,350,000
       CIGARETTES 4.2%
                 27,000  Philip Morris Cos., Inc.                        2,808,000
       PAPER MILLS 4.8%
                 42,000  Kimberly-Clark Corp.                            3,244,500
       NEWSPAPERS:PUBLISHING OR PUBLISHING & PRINTING 0.9%
                  8,500  Gannett Co., Inc.                                 601,375
       PHARMACEUTICAL PREPARATIONS 9.8%
                 12,000  American Home Products Corp.                      721,500
                 10,000  Bristol-Myers Squibb Co.                          900,000
                 34,000  Johnson & Johnson                               1,683,000
                 40,000  Lilly (Eli) & Co.                               2,600,000
                 10,000  Pfizer, Inc.                                      713,750
                   Total Pharmaceutical Preparations                     6,618,250

       CHEMICALS & ALLIED PRODUCTS 1.7%
                 19,000  Eastman Chemical Co.                            1,156,625

       ADHESIVES AND SEALANTS 2.8%
                 50,800  Morton International, Inc.                      1,892,300
</TABLE>

                                       6

<PAGE>
THE TORRAY FUND

SCHEDULE OF INVESTMENTS

AS OF JUNE 30, 1996 (UNAUDITED)
<TABLE>
<S>                                                                    <C>
       SHIP & BOAT BUILDING & REPAIRING 5.1%
                 55,000  General Dynamics Corp.                          3,410,000
       AIRCRAFT 2.8%
                 10,000  Boeing Co.                                        871,250
                 15,000  Northrop Grumman Corp.                          1,021,875
                   Total Aircraft                                        1,893,125

       GUIDED MISSLES, SPACE VEHICLES & PARTS 4.0%
                 32,000  Lockheed Martin Corp.                           2,688,000
       PLASTICS PRODUCTS, NEC 1.4%
                 35,000  Rubbermaid, Inc.                                  953,750
       ELECTRONIC & OTHER ELECTRIC EQUIP NON COMPUTER 1.7%
                 13,000  General Electric Co.                            1,124,500
       COMPUTER & OFFICE EQUIPMENT 3.7%
                 25,000  I B M Corp.                                     2,475,000
       SURGICAL & MEDICAL INSTRUMENTS & APPARATUS 0.7%
                  9,000  Guidant Corp.                                     443,250
                   TOTAL MANUFACTURING                                  37,282,550

       WHOLESALE AND RETAIL TRADE 4.1%
       WHOLESALE-FARM PRODUCT RAW MATERIALS 1.9%
                104,060  Standard Commercial Corp.*                      1,248,720
       RETAIL-DEPARTMENT STORES 2.2%
                 30,000  Harcourt General, Inc.                          1,500,000
                   TOTAL WHOLESALE AND RETAIL TRADE                      2,748,720

       FINANCE, INSURANCE AND REAL ESTATE 35.2%
       NATIONAL COMMERCIAL BANKS 15.2%
                 32,000  Citicorp                                        2,644,000
                 27,184  First American Corp. Tenn.                      1,145,126
                 90,000  Liberty Bancorp, Inc. (Okla.)                   3,195,000
                 58,000  Mellon Bank Corp.                               3,306,000
                   Total National Commercial Banks                      10,290,126

       SAVINGS INSTITUTIONS, NOT FEDERALLY CHARTERED 2.2%
                 94,306  Southern Financial Bancorp, Inc.                1,461,743
</TABLE>

                                       7

<PAGE>
THE TORRAY FUND

SCHEDULE OF INVESTMENTS

AS OF JUNE 30, 1996 (UNAUDITED)
<TABLE>
<S>                                                                    <C>
       MISCELLANEOUS BUSINESS CREDIT INSTITUTIONS 6.4%
                 58,000  Student Loan Marketing (New Vtg)                4,292,000
       SECURITY & COMMODITY BROKERS, DEALERS & SVCS. 5.5%
                 85,000  Salomon Inc.                                    3,740,000
       SECURITY BROKERS, DEALERS & FLOTATION COS. 1.8%
                 50,000  Lehman Brothers Holdings, Inc.                  1,237,500
       REAL ESTATE-(LEISURE CONDOS ONLY) 4.1%
                115,000  CarrAmerica Realty Corp.                        2,760,000
          TOTAL FINANCE, INSURANCE AND REAL ESTATE                      23,781,369

       SERVICES 5.2%
       TRAVEL AGENCIES 1.0%
                 15,000  American Express Co.                              669,375
       SERVICES-GENERAL MEDICAL & SURGICAL HOSPITALS 2.8%
                 89,000  Tenet Healthcare Corp.*                         1,902,375

       MISC. AMUSEMENT & RECREATION 1.4%
                 15,000  Disney (Walt) Co.                                 943,125
                 TOTAL SERVICES                                          3,514,875

TOTAL COMMON STOCK                                                      67,327,514
(cost $51,107,907)

TOTAL PORTFOLIO SECURITIES 100.1%                                       67,523,194
(amortized cost $51,303,420)

OTHER ASSETS LESS LIABILITIES (0.1%)                                      (41,433)

NET ASSETS                                                             $67,481,761

FIVE LARGEST HOLDINGS
     Student Loan Marketing
     Salomon Inc.
     General Dynamics Corp.
     Mellon Bank Corp.
     Kimberly-Clark Corp.

* Non-income producing security
</TABLE>

SEE NOTES TO THE FINANCIAL STATEMENTS.

                                       8

<PAGE>
THE TORRAY FUND

STATEMENT OF ASSETS AND LIABILITIES

AS OF JUNE 30, 1996 (UNAUDITED)

<TABLE>
<S>                                                      <C>
ASSETS
     Investments in securities at value
       (amortized cost $51,303,420)                      $67,523,194
     Cash                                                      8,771
     Interest and dividends receivable                        71,835

     TOTAL ASSETS                                         67,603,800

LIABILITIES
     Payable for securities purchased                        119,740
     Payable to The Torray Corporation                         2,299

     TOTAL LIABILITIES                                       122,039

NET ASSETS                                               $67,481,761

     Shares of beneficial interest
       ($1 stated value, 3,111,102 shares
       outstanding, unlimited shares authorized)         $ 3,111,102
     Paid-in-capital in excess of par                     47,294,316
     Undistributed net investment income                      (4,882)
     Undistributed net realized gains                        861,451
     Net unrealized appreciation of investments           16,219,774

NET ASSETS                                               $67,481,761

       PER SHARE                                         $    21.690
</TABLE>

SEE NOTES TO THE FINANCIAL STATEMENTS.

                                       9

<PAGE>
THE TORRAY FUND

STATEMENT OF OPERATIONS

SIX MONTHS ENDED JUNE 30, 1996 (UNAUDITED)

<TABLE>
<S>                                     <C>           <C>
INVESTMENT INCOME
     Interest income                                  $    36,359
     Dividend income                                      676,418
       Total income                                       712,777

EXPENSES
     Management fees                                      308,461
     Other expenses:
     Legal fees                         $  22,960
     Transfer agent fees                   19,500
     Audit fees                            14,351
     Registration & filing fees            29,411
     Custodian's fees                       9,408
     Accounting services                   14,880
     Trustees' fees                         5,400
     Administration                        27,000
     Printing                              34,264
     Insurance                                375
     Miscellaneous                              8
       Total                              177,557
     Expense reimbursement               (100,265)         77,292
       Total expenses                                     385,753

NET INVESTMENT INCOME                                     327,024

REALIZED AND UNREALIZED GAIN(LOSS)
  ON INVESTMENTS
     Net realized gain on
       investments                                        860,297
     Net change in unrealized gain                      3,412,014
       Net gain on investments                          4,272,311

NET INCREASE IN NET ASSETS
  FROM OPERATIONS                                     $ 4,599,335
</TABLE>

SEE NOTES TO THE FINANCIAL STATEMENTS.

                                       10

<PAGE>
THE TORRAY FUND

STATEMENT OF CHANGES IN NET ASSETS

FOR THE PERIODS BELOW:

<TABLE>
<CAPTION>
                                       6 MOS.
                                        ENDED           YEAR
                                       6/30/96          ENDED
                                     (UNAUDITED)      12/31/95
<S>                                  <C>             <C>
INCREASE IN NET ASSETS FROM
  OPERATIONS:
       Net investment income         $   327,024     $   416,197
       Net realized gain on
          investments                    860,297         791,792
       Net change in unrealized
          gain (loss)                  3,412,014      11,564,512
          Net increase in net
            assets from
            operations                 4,599,335      12,772,501

DISTRIBUTIONS TO SHAREHOLDERS
  FROM:
       Net investment income            (333,657)       (414,625)
       Net realized gains                      0        (790,687)
          Total distributions           (333,657)     (1,205,312)

SHARES OF BENEFICIAL INTEREST
       Increase from share
          transactions                12,472,481      15,814,356
          Total increase              16,738,159      27,381,545

Net assets -- beginning of period     50,743,602      23,362,057

Net assets -- end of period          $67,481,761     $50,743,602
</TABLE>

SEE NOTES TO THE FINANCIAL STATEMENTS.

                                       11

<PAGE>
THE TORRAY FUND

FINANCIAL HIGHLIGHTS

FOR A SHARE OUTSTANDING THROUGHOUT THE PERIODS BELOW:

PER SHARE DATA($)
<TABLE>
<CAPTION>
                                                    6 MOS ENDED       YEAR         YEAR         YEAR         YEAR         YEAR
                                                      6/30/96        ENDED        ENDED        ENDED        ENDED        ENDED
                                                    (UNAUDITED)     12/31/95     12/31/94     12/31/93     12/31/92     12/31/91
<S>                                                 <C>             <C>          <C>          <C>          <C>          <C>
NET ASSET VALUE, BEGINNING OF PERIOD                  $20.110       $ 13.755     $ 14.273     $ 13.743     $ 11.514     $  9.999

    Income From Investment Operations
    Net Investment Income                               0.105          0.215        0.213        0.122        0.180        0.232
    Net Gains on Securities
      (both realized and unrealized)                    1.581          6.674        0.130        0.745        2.229        1.728
      Total from Investment Operations                  1.686          6.889        0.343        0.867        2.409        1.960

    Less Distributions
    Dividends (from Net Investment Income)             (0.106)        (0.214)      (0.213)      (0.122)      (0.180)      (0.233)
    Distributions (from Capital Gains)                  0.000         (0.320)      (0.648)      (0.215)       0.000       (0.212)
      Total Distributions                              (0.106)        (0.534)      (0.861)      (0.337)      (0.180)      (0.445)

NET ASSET VALUE, END OF PERIOD                        $21.690       $ 20.110     $ 13.755     $ 14.273     $ 13.743     $ 11.514

TOTAL RETURN3                                            8.39%         50.41%        2.41%        6.37%       21.04%       19.98%

RATIOS / SUPPLEMENTAL DATA
    Net Assets, End of Period (000's omitted)         $67,482       $ 50,744     $ 23,362     $ 19,666     $ 10,298     $  4,423
    Ratio of Expenses to Average Net Assets              1.25%1         1.25%        1.25%        1.25%        1.25%        1.25%
    Ratio of Net Income to Average Net Assets            1.06%1         1.31%        1.51%        0.94%        1.54%        2.43%
    Portfolio Turnover Rate                             10.56%         22.56%       36.63%       29.09%       37.09%       21.17%
    Average Actual Commissions paid per share4        $0.1093       $ 0.0813          n/a          n/a          n/a          n/a

<CAPTION>
                                                  14 DAYS
                                                   ENDED
                                                  12/31/90
<S>                                                 <C>
NET ASSET VALUE, BEGINNING OF PERIOD              $ 10.000
    Income From Investment Operations
    Net Investment Income                            0.005
    Net Gains on Securities
      (both realized and unrealized)                 0.000
      Total from Investment Operations               0.005
    Less Distributions
    Dividends (from Net Investment Income)          (0.006)
    Distributions (from Capital Gains)               0.000
      Total Distributions                           (0.006)
NET ASSET VALUE, END OF PERIOD                    $  9.999
TOTAL RETURN3                                        (0.03%)
RATIOS / SUPPLEMENTAL DATA
    Net Assets, End of Period (000's omitted)     $    200
    Ratio of Expenses to Average Net Assets           0.82%1
    Ratio of Net Income to Average Net Assets         2.15%1
    Portfolio Turnover Rate                            n/a2
    Average Actual Commissions paid per share4         n/a
</TABLE>

     1 Annualized

     2 Not applicable. During the period December 18, 1990 through December 31,
       1990 the Fund invested only in short term investments which are excluded
       from this ratio.

     3 Past performance is not predictive of future performance.

     4 Does not include spreads on shares traded on a principal basis.

SEE NOTES TO THE FINANCIAL STATEMENTS.

                                       12

<PAGE>
THE TORRAY FUND

NOTES TO FINANCIAL STATEMENTS

JUNE 30, 1996 (UNAUDITED)

NOTE 1 -- SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

     The Torray Fund ("Fund") is registered under the Investment Company Act of
1940 as a no load, diversified, open-end management investment company. The Fund
was organized as a business trust under Massachusetts law. The Torray
Corporation serves as administrator and investment advisor to, and transfer
agent for the Fund.

     The initial capitalization of the Fund, $100,000, was provided on November
16, 1990 by Robert E. Torray who is an officer, director and shareholder of The
Torray Corporation. The Fund commenced operations on December 18, 1990. All
organizational expenses of the Fund (approximately $56,000), primarily legal
fees and certain Blue Sky registration fees have been paid by The Torray
Corporation and will not be reimbursed by the Fund. The following is a summary
of accounting policies followed by the Fund in the preparation of its financial
statements.

     SECURITIES VALUATION  Short-term obligations having remaining maturities of
60 days or less are valued at amortized cost, which approximates market value.
Portfolio securities for which market quotations are readily available are
valued at market value, which is determined by using the last reported sale
price, or, if no sales are reported, the last reported bid price.

     SECURITIES TRANSACTIONS AND INVESTMENT INCOME  Securities transactions are
recorded on a trade date basis. Realized gain and loss from securities
transactions are recorded on the first-in first-out basis. Dividend income is
recorded on the ex-dividend date and interest income, including amortization of
discount on short-term investments, is recorded on the accrual basis.

     FEDERAL INCOME TAXES  The Fund intends to continue to comply with the
requirements of the Internal Revenue Code applicable to regulated investment
companies and to distribute all of its taxable income, including any net
realized gain on investments to its shareholders. Therefore, no Federal income
tax provision is required. Cost of securities for tax purposes is substantially
the same as for financial reporting purposes.

     NET ASSET VALUE  The net asset value per share of the Fund is determined
once on each day that the New York Stock Exchange is open, as of the close of
the Exchange.

                                       13

<PAGE>
THE TORRAY FUND

NOTES TO FINANCIAL STATEMENTS

JUNE 30, 1996 (UNAUDITED)

NOTE 2 -- MANAGEMENT CONTRACT, TRANSFER AGENT AND SHAREHOLDER SERVICE AGREEMENTS

     The Torray Corporation currently guarantees that the overall annual expense
ratio of the Fund will not exceed 1.25% of net assets. This ratio consists of a
1% management fee plus up to 0.25% of net assets covering all other expenses.

     Pursuant to the Management Contract, the Fund pays The Torray Corporation a
fee, computed daily and payable quarterly at the annual rate of one percent of
the Fund's daily net assets. The Torray Corporation provides investment advisory
and portfolio management services to the Fund. During the six months ended June
30, 1996, The Torray Fund paid management fees of $308,461 (1% of assets).

     Excluding the management fee, other expenses incurred by the Fund during
the six months ended June 30, 1996 totalled $177,557. Due to the current expense
limitation, however, the Torray Corporation reimbursed the Fund $100,265 for
expenses incurred in excess of $77,292 (.25% of assets) for the six months ended
June 30, 1996. A portion of the other expenses ($49,500 of $177,557) represents
fees charged by The Torray Corporation for transfer agent, shareholder, net
asset value accounting and administrative services. Certain officers and
Trustees of the Fund are also officers and/or shareholders of The Torray
Corporation. The remaining other expenses of $128,057 were paid to various
independent agents, service providers, and federal and state agencies. These
expenses include all costs associated with the Fund's operations including
Independent Trustees' fees ($2,000 per annum and $100 for each Board meeting
attended), taxes, dues, fees and expenses of registering and qualifying the Fund
and its shares for distribution, charges of custodians, auditing and legal
expenses, insurance premiums, software licensing and securities pricing fees,
supplies, postage, expenses of issue or redemption of shares, reports to
shareholders and Trustees, expenses of printing and mailing prospectuses, proxy
statements and proxies to existing shareholders, and other miscellaneous
expenses.

NOTE 3 -- PORTFOLIO SECURITIES

     Purchases and sales of investment securities, other than short-term
investments, for the six months ended June 30, 1996 aggregated $20,913,175 and
$6,433,329, respectively. Net unrealized appreciation of investments at June 30,
1996 includes aggregate unrealized gains of $16,435,629 and unrealized losses of
$215,855.

                                       14

<PAGE>
THE TORRAY FUND

NOTES TO FINANCIAL STATEMENTS

JUNE 30, 1996 (UNAUDITED)

NOTE 4 -- SHARES OF BENEFICIAL INTEREST TRANSACTIONS

     Transactions in shares of beneficial interest were as follows:

<TABLE>
<CAPTION>
                                     SIX MONTHS                       YEAR
                                        ENDED                        ENDED
                                       6/30/96                      12/31/95
                               SHARES         AMOUNT         SHARES        AMOUNT
<S>                           <C>           <C>             <C>          <C>
Shares issued                 1,097,238     $23,060,404      937,270     $17,576,747
Reinvestment of dividends
  and distributions              14,099         301,854       55,960       1,054,067
Shares redeemed                (523,178)    (10,889,777)    (168,667)     (2,816,458)
                                588,159     $12,472,481      824,563     $15,814,356
</TABLE>

     Officers, Trustees, affiliated persons of The Torray Fund and their
families directly or indirectly control 659,993 shares or 21.2% of the Fund.

                                       15
 
<PAGE>
                 This report is not authorized for distribution
                  to prospective investors unless preceded or
                      accompanied by a current prospectus.
 
<PAGE>
                               INVESTMENT ADVISOR
 
                             The Torray Corporation
                          6610 Rockledge Dr. Suite 450
                            Bethesda, Maryland 20817
 
                                 LEGAL COUNSEL
 
                          Morgan, Lewis & Bockius LLP
                              1800 M Street, N.W.
                             Washington, D.C. 20036
 
                              INDEPENDENT AUDITORS
 
                             Johnson Lambert & Co.
                            7500 Old Georgetown Road
                                   Suite 700
                            Bethesda, Maryland 20814
 
                                   CUSTODIAN
 
                          Rushmore Trust & Savings FSB
                              4922 Fairmont Avenue
                            Bethesda, Maryland 20814

                         TRANSFER AGENT & ADMINISTRATOR
 
                             The Torray Corporation
                          6610 Rockledge Dr. Suite 450
                            Bethesda, Maryland 20817
 
<PAGE>
 
                                   SUITE 450
                              6610 ROCKLEDGE DRIVE
                            BETHESDA, MARYLAND 20817
                                 (301) 493-4600
                                 1-800-443-3036
 
                                      The
                                     TORRAY
                                      FUND
 
                               SEMI-ANNUAL REPORT

                                 JUNE 30, 1996




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