BNY HAMILTON FUNDS INC
N-30D, 1996-08-28
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<PAGE>
- --------------------------------------------------------------------------------
- ---------  CHAIRMAN'S LETTER

                                                                   July 15, 1996

DEAR SHAREHOLDER:
 
     I am pleased to report to you on the performance of the BNY Hamilton Money
Fund for the first half of 1996. I would like to take this opportunity to
express my appreciation for the confidence you have placed in the Fund to invest
your money. Growth in the Fund was strong. Net assets increased 17%, finishing
the first half of the year at $1.1 billion.
 
     The Fund is invested to provide safety, liquidity and high yield.
Consistent with these objectives, overnight repurchase agreements backed by U.S.
Government securities currently constitute the largest portion of the Fund.
Other Fund investments include commercial paper, U.S. Treasuries and Agencies
and floating rate notes. Selection of maturities are determined by the supply
and type of money market instruments available in the market as well as Federal
Reserve policy and by the liquidity needs of our shareholders.
 
     At the end of June 1996, the 7-day current yield for the Hamilton Class of
the BNY Hamilton Money Fund was 5.15%. The year to date annualized return was
5.22%. For the Premier Class, the 7-day current yield was 4.89%. The year to
date annualized return was 4.96%. The 7-day current yield for the Classic Class
was 4.63%. The year to date annualized return was 4.70%.*
 
     The Fund has achieved special recognition by Standard & Poor's, receiving a
AAAm rating. This rating is historical and is based upon the Fund's credit
quality, market price exposure and management. It signifies that the Fund's
safety is excellent and that it has a superior capacity to maintain a $1.00 net
asset value per share.
 
     We are pleased to provide you with the safety, liquidity and high yield the
BNY Hamilton Money Fund offers. The Bank of New York as investment adviser to
the Funds will continue to manage your assets with the same degree of
conscientiousness, prudence and sensitivity to market changes in the months
ahead.
 
Thank you for your support.
 
Sincerely,

Eugene J. Sullivan
Chairman of the Board
 
- ------------------
* An investment in the Fund is neither insured nor guaranteed by the U.S.
  Government. Yields will fluctuate with market conditions. Past performance is
  no guarantee of future results. There can be no assurance that the Fund will
  be able to maintain a stable net asset value of $1.00 per share.
 
- --------------------------------------------------------------------------------

<PAGE>
- --------------------------------------------------------------------------------
- ---------  TABLE OF CONTENTS
 
<TABLE>
<S>                                                           <C>
      SCHEDULE OF INVESTMENTS...............................    Page   1
 
      STATEMENT OF ASSETS AND LIABILITIES...................           5
 
      STATEMENT OF OPERATIONS...............................           5
 
      STATEMENTS OF CHANGES IN NET ASSETS...................           6
 
      FINANCIAL HIGHLIGHTS..................................           7
 
      NOTES TO FINANCIAL STATEMENTS.........................           9
 
      DIRECTORS AND OFFICERS................................          11
</TABLE>
 
- --------------------------------------------------------------------------------


<PAGE>
- --------------------------------------------------------------------------------
- ---------  BNY HAMILTON MONEY FUND
           Schedule of Investments
           JUNE 30, 1996 (UNAUDITED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
<S>            <C>                          <C>
               COMMERCIAL PAPER-- 28.78%
               ASSET BACKED SECURITIES--
               TRADE & LEASE RECEIVABLES
               (PARTIAL SUPPORT)--5.57%
$ 25,000,000   Matterhorn Capital Corp.,
               5.35%+, 8/13/96............. $   24,840,243
  20,000,000   New Center Asset Trust,
               5.30%+, 7/1/96..............     20,000,000
  17,127,000   Sheffield Receivables Corp.,
               5.28%+, 7/1/96..............     17,127,000
                                            --------------
                                                61,967,243
                                            --------------
               BANK HOLDING COMPANIES--
               0.63%
   7,000,000   Chase Manhattan Corp.,
               4.93%+, 7/8/96..............      6,993,290
                                            --------------
               BANKS--FOREIGN
               INSTITUTIONS--5.57%
  25,000,000   Dresdner U.S. Finance, Inc.,
               5.34%+, 7/3/96..............     24,992,583
  25,000,000   Louis Dreyfus Corp., Series
               B, 5.14%+, 7/8/96 (LOC:
               Credit Agricole)*...........     24,974,139
  12,000,000   Royal Bank of Canada,
               5.12%+, 7/8/96..............     11,988,053
                                            --------------
                                                61,954,775
                                            --------------
               BEVERAGES--2.25%
  25,000,000   Coca-Cola Co., 5.28%+,
               7/9/96......................     24,970,667
                                            --------------
               BROKERAGE SERVICES--4.03%
  20,000,000   Lehman Brothers Holdings,
               Inc., 5.45%+, 8/12/96.......     19,872,833
  25,000,000   Morgan Stanley, 5.29%+,
               7/16/96.....................     24,944,896
                                            --------------
                                                44,817,729
                                            --------------

               CHEMICALS--1.79%
  20,000,000   du Pont (E.I.) de Nemours &
               Co., 5.30%+, 7/23/96........     19,934,733
                                            --------------
 
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
<S>            <C>                          <C>
               ELECTRICAL & ELECTRONIC
               EQUIPMENT--2.23%
$ 25,000,000   Lucent Technologies, Inc.,
               5.38%+, 8/27/96............. $   24,787,042
                                            --------------
               FOREIGN GOVERNMENTS &
               RELATED ISSUES--
               FRANCE--1.33%
  15,000,000   Caisse D'Amortissement De La
               Sociale, 5.39%+, 9/24/96....     14,809,104
                                            --------------
               LEASING (WHOLESALE &
               RETAIL)--AUTOS, TRUCKS &
               RV'S--3.59%
  20,000,000   Ford Motor Credit Co.,
               5.32%+, 7/11/96.............     19,970,611
  20,000,000   Hertz Corp., 5.29%+,
               7/18/96.....................     19,950,039
                                            --------------
                                                39,920,650
                                            --------------
               PHARMACEUTICALS, HEALTH
               CARE, COSMETICS & SOAP--
               1.79%
  20,000,000   Abbott Laboratories, 5.30%+,
               7/16/96.....................     19,955,833
                                            --------------
               TOTAL COMMERCIAL PAPER (Cost
               $320,111,066)...............    320,111,066
                                            --------------
 
               UNITED STATES GOVERNMENT
               AGENCIES &
               OBLIGATIONS--21.52%

               UNITED STATES GOVERNMENT
               AGENCY SECURITIES--17.49%
               Federal Farm Credit Bank,
  11,150,000   5.08%+, 7/3/96..............     11,146,853
  15,300,000   5.75%, 8/1/96...............     15,299,683
  10,000,000   5.40%, 4/1/97...............      9,991,367
               Federal Home Loan Bank,
   7,500,000   5.71%, 8/9/96...............      7,499,719
  14,000,000   5.04%, 2/28/97..............     13,989,184

   5,000,000   5.325%, 3/18/97.............      4,992,480
   5,000,000   5.325%, 4/17/97.............      4,998,937
</TABLE>
 
See notes to financial statements.
- --------------------------------------------------------------------------------
                                       1
<PAGE>
- --------------------------------------------------------------------------------
- ---------  BNY HAMILTON MONEY FUND
           Schedule of Investments (continued)
           JUNE 30, 1996 (UNAUDITED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
               UNITED STATES GOVERNMENT
               AGENCIES & OBLIGATIONS
               (CONTINUED)
<S>            <C>                          <C>
               Federal Home Loan Mortgage
               Corporation,
$ 30,000,000   5.22%+, 7/8/96.............. $   29,969,317
   4,040,000   4.96%, 2/3/97...............      4,036,033
               Federal National Mortgage
               Association,
   5,000,000   4.82%+, 8/16/96.............      4,969,206
   5,000,000   4.81%+, 8/29/96.............      4,960,585
  10,000,000   5.32%+, 9/16/96.............      9,886,211
   9,000,000   5.68%, 10/7/96..............      8,999,577
   5,000,000   5.13%+, 10/30/96............      4,913,788
   7,000,000   5.47%, 11/14/96.............      6,998,870
  10,000,000   5.07%, 1/23/97..............      9,998,241
  10,000,000   4.82%, 2/10/97..............      9,996,439
  12,000,000   4.97%, 3/10/97..............     11,983,253
  20,000,000   5.48%, 4/24/97..............     19,987,286
                                            --------------
                                               194,617,029
                                            --------------
               UNITED STATES TREASURY
               BILLS--0.87%
  10,000,000   5.11%+, 2/6/97..............      9,686,098
                                            --------------
               UNITED STATES TREASURY
               NOTES--3.16%
  16,000,000   6.125%, 5/31/97.............     16,054,847
   9,000,000   6.75%, 5/31/97..............      9,074,860
  10,000,000   5.625%, 6/30/97.............      9,988,223
                                            --------------
                                                35,117,930
                                            --------------
               TOTAL UNITED STATES

               GOVERNMENT AGENCIES &
               OBLIGATIONS (Cost
               $239,421,057)...............    239,421,057
                                            --------------
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
               FLOATING RATE
               NOTES--7.55%
               BANK HOLDING COMPANIES--
               2.88%
<S>            <C>                          <C>
$ 12,000,000   American Express Centurion
               Bank, 5.4661%+, payable
               monthly, interest rate
               resets monthly, next
               interest rate reset date
               7/16/96, final maturity
               10/16/96.................... $   11,998,948
  20,000,000   Boatmens National Bank of
               St. Louis, 5.62%+, payable
               quarterly, interest rate
               resets weekly, next interest
               rate reset date 7/2/96,
               final maturity 6/17/97......     20,000,000
                                            --------------
                                                31,998,948
                                            --------------
               BROKERAGE SERVICES--3.77%
  13,000,000   Bear Stearns Companies,
               Inc., 5.4875%+, payable
               monthly, interest rate
               resets monthly, next
               interest rate reset date
               7/3/96, final maturity
               10/3/96.....................     13,000,000
  12,000,000   Bear Stearns Companies,
               Inc., 5.5344%+, payable
               monthly, interest rate
               resets monthly, next
               interest rate reset date
               7/15/96, final maturity
               6/13/97.....................     12,000,000
  17,000,000   Merrill Lynch & Co., Inc.,
               5.4861%+, payable monthly,
               interest rate resets
               monthly, next interest rate
               reset date 7/16/96, final
               maturity 5/27/97............     17,000,000
                                            --------------
                                                42,000,000
                                            --------------
</TABLE>

 
See notes to financial statements.
- --------------------------------------------------------------------------------
                                       2
<PAGE>
- --------------------------------------------------------------------------------
- ---------  BNY HAMILTON MONEY FUND
           Schedule of Investments (continued)
           JUNE 30, 1996 (UNAUDITED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
               FLOATING RATE NOTES
               (CONTINUED)
<S>            <C>                          <C>
               UNITED STATES GOVERNMENT
               AGENCY SECURITIES--0.90%
$ 10,000,000   Federal Farm Credit Bank,
               5.39%+, payable quarterly,
               interest rate resets weekly,
               next interest rate reset
               date 7/3/96, final maturity
               11/8/96..................... $    9,996,113
                                            --------------
               TOTAL FLOATING RATE NOTES
               (Cost $83,995,061)..........     83,995,061
                                            --------------
               CERTIFICATE OF
               DEPOSIT--2.52%
               BANK HOLDING COMPANIES--
               1.80%
  20,000,000   First Alabama Bank,
               Montgomery, 5.36%,
               7/22/96.....................     20,000,000
                                            --------------
               BANKS--FOREIGN
               INSTITUTIONS--0.72%
   8,000,000   ABN AMRO Bank, 5.53%,
               3/18/97.....................      8,001,094
                                            --------------
               TOTAL CERTIFICATE OF DEPOSIT
               (Cost $28,001,094)..........     28,001,094
                                            --------------
               FIXED RATE DEBT
               OBLIGATIONS--0.94%
               ASSET BACKED SECURITIES--
               OTHER ASSET BACKED
               PROGRAMS--0.04%

     456,082   Navistar Financial Corp.,
               5.75%, 11/15/96.............        456,080

                                            --------------
               FINANCE COMPANIES--
               NON-CAPTIVE &
               INDEPENDENT--0.90%
  10,000,000   General Electric Capital
               Corp., 5.10%, 1/27/97.......      9,999,315
                                            --------------
               TOTAL FIXED RATE DEBT
               OBLIGATIONS (Cost
               $10,455,395)................     10,455,395
                                            --------------

<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
<S>            <C>                          <C>
               TIME DEPOSITS-- FOREIGN
               INSTITUTIONS--
               0.18%
$  2,048,000   Societe Generale, 5.375%,
               7/1/96 (Cost $2,048,000).... $    2,048,000
                                            --------------
               REPURCHASE
               AGREEMENTS--38.65%
               REPURCHASE AGREEMENTS WITH
               BARCLAYS DEZOETE WEDD--
               8.99%
 100,000,000   5.60%, due 7/1/96,
               repurchase price
               $100,046,667 (Collateral--
               Federal Home Loan Mortgage
               Corporation Bonds,
               6.00%-9.00%,
               11/15/06-5/1/26; Federal
               National Mortgage
               Association Bonds,
               6.00%-7.00%, 7/25/99-6/1/26;
               aggregate market value plus
               accrued interest
               $103,000,000) (Cost
               $100,000,000)...............    100,000,000
                                            --------------
               REPURCHASE AGREEMENTS WITH
               DEAN WITTER REYNOLDS,
               INC.--10.78%
 120,000,000   5.50%-5.55%, due 7/1/96,
               repurchase price
               $120,055,083 (Collateral--
               Federal Farm Credit Bank
               Zero Coupon Note, 7/30/96;
               Federal Home Loan Bank
               Notes, 5.82%-7.03%,
               8/8/00-1/11/06; Federal Home

               Loan Mortgage Corporation
               Bonds including Zero Coupon
               Notes, 0.00%-7.50%,
               7/24/96-2/15/24; Federal
               National Mortgage
               Association Notes/Bonds,
               5.55%-7.00%,
               3/12/99-8/25/23; Tennessee
               Valley Authority Bond,
</TABLE>
 
See notes to financial statements.
- --------------------------------------------------------------------------------
                                       3
<PAGE>
- --------------------------------------------------------------------------------
- ---------  BNY HAMILTON MONEY FUND
           Schedule of Investments (continued)
           JUNE 30, 1996 (UNAUDITED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
<S>            <C>                          <C>
               REPURCHASE AGREEMENTS
               (CONTINUED) 
               7.625%, 9/1/22;
               United States Treasury Bill,
               Zero Coupon, 8/8/96; United
               States Treasury Notes,
               5.75%-7.875%,
               8/31/96-12/31/99; United
               States Treasury Bonds
               including Zero Coupon Bonds,
               0.00%-7.50%,
               5/15/00-11/15/24; World Bank
               Global Bond, 6.375%,
               7/21/05; aggregate market
               value plus accrued interest
               $123,321,241) (Cost
               $120,000,000)............... $  120,000,000
                                            --------------
               REPURCHASE AGREEMENTS WITH
               DEUTSCHE BANK AG--9.89%
$110,000,000   5.50%, due 7/1/96,
               repurchase price
               $110,050,417 (Collateral--
               Federal Home Loan Mortgage
               Corporation Notes/Bonds,
               5.84%-7.88%,
               12/20/96-1/1/26; Federal
               National Mortgage

               Association Bonds,
               5.74%-7.50%,
               8/25/08-4/25/23; aggregate
               market value plus accrued
               interest $113,297,401) (Cost
               $110,000,000)...............    110,000,000
                                            --------------

<CAPTION>
 PRINCIPAL                                      MARKET
   AMOUNT                                       VALUE
- ------------                                --------------
<S>            <C>                          <C>
               REPURCHASE AGREEMENTS WITH
               GOLDMAN, SACHS & CO.-- 8.99%
$100,000,000   5.50%, due 7/1/96,
               repurchase price
               $100,045,833 (Collateral--
               African Development Bank
               Bonds, 7.75%-9.30%,
               7/1/00-12/15/01;
               InterAmerican Development
               Bank Notes/Bonds,
               8.50%-9.45%,
               9/15/98-3/15/11; World Bank
               Zero Coupon Notes,
               7/18/96-3/4/97; United
               States Treasury Note,
               5.375%, 5/31/98; aggregate
               market value plus accrued
               interest $102,000,556) (Cost
               $100,000,000)............... $  100,000,000
                                            --------------
               TOTAL REPURCHASE AGREEMENTS
               (Cost $430,000,000).........    430,000,000
                                            --------------
               TOTAL INVESTMENTS--
               (Cost $1,114,031,673)(a)--
               100.14%.....................  1,114,031,673
               Other assets less
               liabilities-- (0.14%).......     (1,591,129)
                                            --------------
               NET ASSETS--100%............ $1,112,440,544
                                            ==============
</TABLE>
 
(a) The cost stated also represents the aggregate cost for Federal income tax
    purposes.
 
+  Represents yield at time of purchase for commercial paper, discounted rate at
   time of purchase for United States Government agencies & obligations, and
   interest rate in effect at June 30, 1996 for floating rate notes.
 
 * Backed by a letter of credit.

 
See notes to financial statements.
- --------------------------------------------------------------------------------
                                       4

<PAGE>
- --------------------------------------------------------------------------------
- ---------  Statement of Assets and        Statement of Operations           
           Liabilities

           JUNE 30, 1996  
           (UNAUDITED)                    
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                     <C>
ASSETS:
  Investments at market value,
     including repurchase agreements
     of $430,000,000 (Identified cost
     $1,114,031,673)..................  $1,114,031,673
  Cash................................             377
  Interest receivable.................       3,293,769
  Deferred organization costs and
     other assets.....................         181,904
                                        --------------
     TOTAL ASSETS.....................   1,117,507,723
                                        --------------
LIABILITIES:
  Dividends
     payable: Hamilton Shares.........       2,980,913
             Hamilton Premier
                Shares................       1,615,466
             Hamilton Classic
                Shares................          50,712
  Services provided by The Bank of New
     York and Administrator...........         319,315
  Accrued expenses and other
     liabilities......................         100,773
                                        --------------
     TOTAL LIABILITIES................       5,067,179
                                        --------------
NET ASSETS:
  (applicable to shares issued and
     outstanding; 9 billion shares of
     $.001 par value authorized)......  $1,112,440,544
                                        ==============
SOURCES OF NET ASSETS:
  Capital stock @ par.................  $    1,112,386
  Capital surplus.....................   1,111,273,228
  Accumulated net realized gain on
     investments......................          54,930
                                        --------------
NET ASSETS............................  $1,112,440,544

                                        ==============
HAMILTON SHARES:
  Net asset value, offering price and
     redemption price per share
     ($723,760,681/723,729,988
     shares)..........................  $         1.00
                                        ==============
HAMILTON PREMIER SHARES:
  Net asset value, offering price and
     redemption price per share
     ($374,750,801/374,727,174
     shares)..........................  $         1.00
                                        ==============
HAMILTON CLASSIC SHARES:
  Net asset value, offering price and
     redemption price per share
     ($13,929,062/13,928,452 shares)..  $         1.00
                                        ==============
</TABLE>


FOR THE SIX MONTHS ENDED JUNE 30, 1996
(UNAUDITED)

<TABLE>
<S>                                        <C>
INVESTMENT INCOME:
  Interest...............................  $29,596,701
                                           -----------
EXPENSES:
  Advisory...............................      546,568
  Administration.........................      546,568
  12b-1 fee--Hamilton Classic Shares.....       13,711
  Servicing fee: Hamilton Premier
                 Shares..................      526,194
                 Hamilton Classic
                 Shares..................       13,711
  Accounting services....................       29,836
  Cash management: Hamilton
                       Shares............        4,340
                   Hamilton
                       Premier
                       Shares............       14,814
  Custodian..............................       84,515
  Transfer agent: Hamilton Shares........        8,912
                  Hamilton Premier
                  Shares.................       17,359
                  Hamilton Classic
                  Shares.................          814
  Audit..................................       24,334
  Insurance..............................       16,197
  Directors'.............................        8,307
  Reports to shareholders................       11,160
  Registration and filing................      106,970

  Legal..................................       30,935
  Other..................................       28,321
                                           -----------
     TOTAL EXPENSES......................    2,033,566
                                           -----------
     NET INVESTMENT INCOME...............   27,563,135
Net realized gain on investments.........       54,930
                                           -----------
NET INCREASE IN NET ASSETS RESULTING FROM
  OPERATIONS.............................  $27,618,065
                                           -----------
</TABLE>
 
See notes to financial statements.
 
- --------------------------------------------------------------------------------
                                       5

<PAGE>
- --------------------------------------------------------------------------------
- ---------  Statements of Changes in Net Assets (Unaudited)
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                   SIX MONTHS        YEAR ENDED
                                                                                     ENDED          DECEMBER 31,
                                                                                 JUNE 30, 1996          1995
                                                                                 --------------    --------------
<S>                                                                              <C>               <C>
OPERATIONS:
  Net investment income.......................................................   $   27,563,135    $   37,796,901
  Net realized gain on investments............................................           54,930          --
                                                                                 --------------    --------------
  Net increase in net assets resulting from operations........................       27,618,065        37,796,901
                                                                                 --------------    --------------
DIVIDENDS TO SHAREHOLDERS:
  Dividends from net investment income: Hamilton Shares.......................      (17,028,505)      (24,629,959)
                                           Hamilton Premier Shares............      (10,281,030)      (13,159,984)
                                           Hamilton Classic Shares............         (253,600)           (6,958)
                                                                                 --------------    --------------
                                                                                    (27,563,135)      (37,796,901)
                                                                                 --------------    --------------
CAPITAL STOCK TRANSACTIONS:
  Proceeds from capital stock sold: Hamilton Shares...........................    1,196,652,570     2,243,841,012
                                    Hamilton Premier Shares...................    2,116,539,237     2,810,413,019
                                    Hamilton Classic Shares...................       16,745,422         3,150,632
  Proceeds from shares issued on reinvestment of
     dividends: Hamilton Shares...............................................        1,694,749         3,388,955
                Hamilton Premier Shares.......................................        4,325,744         7,918,171
                Hamilton Classic Shares.......................................          198,695             6,393
  Cost of capital stock repurchased: Hamilton Shares..........................   (1,078,669,837)   (1,878,397,366)
                                     Hamilton Premier Shares..................   (2,086,300,903)   (2,585,966,924)

                                     Hamilton Classic Shares..................       (6,114,057)          (58,633)
                                                                                 --------------    --------------
     Increase in net assets resulting from capital stock transactions.........      165,071,620       604,295,259
                                                                                 --------------    --------------
       INCREASE IN NET ASSETS.................................................      165,126,550       604,295,259
NET ASSETS:
  Beginning of period.........................................................      947,313,994       343,018,735
                                                                                 --------------    --------------
  End of period...............................................................   $1,112,440,544    $  947,313,994
                                                                                 ==============    ==============
CHANGES IN CAPITAL STOCK OUTSTANDING:
  Shares sold: Hamilton Shares................................................    1,196,652,570     2,243,841,012
              Hamilton Premier Shares.........................................    2,116,539,237     2,810,413,019
              Hamilton Classic Shares.........................................       16,745,422         3,150,632
  Shares issued on reinvestment of dividends: Hamilton Shares.................        1,694,749         3,388,955
                                              Hamilton Premier Shares.........        4,325,744         7,918,171
                                              Hamilton Classic Shares.........          198,695             6,393
  Shares repurchased: Hamilton Shares.........................................   (1,078,669,837)   (1,878,397,366)
                      Hamilton Premier Shares.................................   (2,086,300,903)   (2,585,966,924)
                      Hamilton Classic Shares.................................       (6,114,057)          (58,633)
                                                                                 --------------    --------------
     Net increase.............................................................      165,071,620       604,295,259
  Shares outstanding, beginning of period.....................................      947,313,994       343,018,735
                                                                                 --------------    --------------
  Shares outstanding, end of period...........................................    1,112,385,614       947,313,994
                                                                                 ==============    ==============
</TABLE>
 
See notes to financial statements.
 
- --------------------------------------------------------------------------------
                                       6

<PAGE>
- --------------------------------------------------------------------------------
- ---------  Financial Highlights (Unaudited)
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                   HAMILTON SHARES
                                        ----------------------------------------------------------------------
                                                                                                    FOR THE
                                                                                                     PERIOD
                                                                                                   AUGUST 7,
                                        SIX MONTHS                                                   1992*
                                          ENDED               YEAR ENDED DECEMBER 31,               THROUGH
                                         JUNE 30,       ------------------------------------      DECEMBER 31,
                                           1996           1995          1994          1993            1992
                                        ----------      --------      --------      --------      ------------
<S>                                     <C>             <C>           <C>           <C>           <C>
PER SHARE DATA:
Net asset value at beginning of

  period............................     $   1.00       $   1.00      $   1.00      $   1.00        $   1.00
                                        ---------       --------      --------      --------      ----------
INCOME FROM INVESTMENT OPERATIONS
Net investment income...............        0.026          0.057         0.040         0.030           0.012
                                        ---------       --------      --------      --------      ----------
DIVIDENDS
Dividends from net investment
  income............................       (0.026)        (0.057)       (0.040)       (0.030)         (0.012)
                                        ---------       --------      --------      --------      ----------
Net asset value at end of period....     $   1.00       $   1.00      $   1.00      $   1.00        $   1.00
                                        ==========      ========      ========      ========      ==========  
TOTAL RETURN:.......................         2.60%**        5.84%         4.02%         3.03%           1.26%**
 
RATIOS/SUPPLEMENTAL DATA:
Net assets at end of period
  (000's omitted)...................     $723,761       $604,053      $235,220      $307,395        $135,852
Ratio to average net assets of:
  Expenses, net of waiver from The
     Bank of New York...............         0.27%***       0.26%         0.30%         0.27%           0.20%***
  Expenses, prior to waiver from The
     Bank of New York...............         0.27%***       0.26%         0.32%         0.32%           0.49%***
  Net investment income, net of
     waiver from The Bank of New
     York...........................         5.17%***       5.67%         3.92%         2.97%           3.11%***
</TABLE>
 
*   Commencement of investment operations.
 
**  Not annualized.
 
*** Annualized.
 
See notes to financial statements.
 
- --------------------------------------------------------------------------------
                                       7
<PAGE>
- --------------------------------------------------------------------------------
- ---------  Financial Highlights (Unaudited) (continued)
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                               HAMILTON PREMIER SHARES              HAMILTON CLASSIC SHARES
                                      ------------------------------------------   --------------------------
                                                                      FOR THE                      FOR THE
                                                                       PERIOD                       PERIOD
                                                                     AUGUST 15,                  DECEMBER 4,
                                      SIX MONTHS                       1994*       SIX MONTHS       1995*
                                        ENDED        YEAR ENDED       THROUGH        ENDED         THROUGH
                                       JUNE 30,     DECEMBER 31,    DECEMBER 31,    JUNE 30,     DECEMBER 31,
                                         1996           1995            1994          1996           1995
                                      ----------    ------------    ------------   ----------    ------------

<S>                                   <C>           <C>             <C>            <C>           <C>
PER SHARE DATA:
Net asset value at beginning of
  period............................   $   1.00       $   1.00        $   1.00      $   1.00        $ 1.00
                                       --------       --------        --------      --------        ------
INCOME FROM INVESTMENT OPERATIONS
Net investment income...............      0.024          0.054           0.017         0.023         0.004
                                       --------       --------        --------      --------        ------
DIVIDENDS
Dividends from net investment
  income............................     (0.024)        (0.054)         (0.017)       (0.023)       (0.004)
                                       --------       --------        --------      --------        ------
Net asset value at end of period....   $   1.00       $   1.00        $   1.00      $   1.00        $ 1.00
                                       ========       ========        ========      ========        ======
TOTAL RETURN:.......................       2.46%**        5.54%           1.69%**       2.34%**       0.40%**
 
RATIOS/SUPPLEMENTAL DATA:
Net assets at end of period
  (000's omitted)...................   $374,751       $340,163        $107,799      $ 13,929        $3,098
Ratio to average net assets of:
  Expenses..........................       0.53%***       0.54%           0.61%***      0.78%***      0.76%***
  Net investment income ............       4.90%***       5.40%           4.40%***      4.65%***      5.18%***
</TABLE>
 
*   Commencement of investment operations for the respective class of shares.
 
**  Not annualized.
 
*** Annualized.
 
See notes to financial statements.
 
- --------------------------------------------------------------------------------
                                       8
<PAGE>
- --------------------------------------------------------------------------------
- ---------  Notes to Financial Statements (Unaudited)
 
1.  ORGANIZATION AND BUSINESS
 
   The BNY Hamilton Funds, Inc. (the 'Company') was organized as a Maryland
Corporation on May 1, 1992 and is registered under the Investment Company Act of
1940 as an open-end management investment company. The Company currently
consists of four series. The BNY Hamilton Money Fund (the 'Fund') commenced
investment operations on August 7, 1992. The Fund consists of three classes of
shares: Hamilton Shares, Hamilton Premier Shares, and Hamilton Classic Shares.
 
2.  SIGNIFICANT ACCOUNTING POLICIES
 

(A)  SECURITY VALUATIONS
 
   Securities are valued at amortized cost which approximates market value. This
method values a security at its cost at the time of purchase and thereafter
assumes a constant rate of amortization to maturity of any discount or premium.
 
(B)  REPURCHASE AGREEMENTS
 
   The Fund's custodian or designated sub-custodians, as the case may be under
tri-party repurchase agreements, takes possession of the collateral pledged for
investments in repurchase agreements. The underlying collateral is valued daily
on a mark-to-market basis to ensure that the value, including accrued interest,
is at least equal to the repurchase price. In the event of default of the
obligation to repurchase, the Fund has the right to liquidate the collateral and
apply the proceeds in satisfaction of the obligations. Under certain
circumstances, in the event of default or bankruptcy by the other party to the
agreement, realization and/or retention of the collateral may be subject to
legal proceedings.
 
(C)  FEDERAL INCOME TAXES

   The Fund is treated as a separate entity for federal income tax purposes. The
Fund's policy is to comply with the requirements of the Internal Revenue Code
applicable to regulated investment companies and distribute income to
shareholders within the allowable time limits. Therefore, no federal income tax
provision is required.
 
(D)  DIVIDENDS AND DISTRIBUTIONS TO SHAREHOLDERS

   Net investment income is declared daily and paid monthly.
 
(E)  SECURITY TRANSACTIONS AND INVESTMENT INCOME

   Security transactions are recorded on the trade date and interest income is
accrued daily. Discounts and premiums on securities purchased are amortized over
the life of the respective securities.

   Income, expenses (other than class specific expenses) and realized gains and
losses, if any, are allocated to each class of shares based upon their relative
shares outstanding.
 
(F)  ORGANIZATION COSTS

   Costs incurred in connection with the organization and initial registration
of the Fund are being amortized evenly over the period of benefit not to exceed
60 months from the date upon which the Fund commenced investment operations.
 
3.  ADVISORY, ADMINISTRATION AND OTHER TRANSACTIONS WITH AFFILIATES

   The Bank of New York acts as the Fund's investment adviser (the 'Adviser').
The Adviser manages the investments of the Fund and is responsible for all
purchases and sales of the Fund's portfolio securities. The Adviser's fee is
accrued daily and is payable monthly at the annual rate of .10% of the average
daily net assets of the Fund.

 
   BNY Hamilton Distributors, Inc. acts as the Fund's administrator (the
'Administrator') and will assist generally in supervising the operations of the
Fund.
 
   The Administrator has agreed to provide facilities, equipment and personnel
to carry out administrative services for the Fund, including, among other
things,
 
- --------------------------------------------------------------------------------
                                       9
<PAGE>
- --------------------------------------------------------------------------------
- ---------  Notes to Financial Statements (Unaudited) (continued)
 
providing the services of persons who may be appointed as officers and directors
of the Fund, monitoring the custodian, fund accounting, transfer agency,
administration, distribution, advisory and legal services that are provided to
the Fund.
 
   The Administrator's fee is accrued daily and is payable monthly at the annual
rate of .10% of the average daily net assets of the Fund.
 
   In addition to acting as Administrator, BNY Hamilton Distributors, Inc. is
the principal underwriter and distributor of shares of the Fund. The Bank of New
York serves as the Fund's custodian and also serves as the fund accounting
agent.
 
   BNY Hamilton Funds, Inc. has adopted a shareholder servicing plan, pursuant
to which Hamilton Premier Shares and Hamilton Classic Shares are sold to certain
institutions that enter into servicing agreements with BNY Hamilton Funds, Inc.
The Bank of New York and the Administrator (the 'Shareholder Servicing Agents')
have each entered into Shareholder Service Agreements with respect to Hamilton
Premier Shares and Hamilton Classic Shares of the Fund. The Shareholder
Servicing Agents will perform shareholder support services. Pursuant to the
Shareholder Servicing Agreements, the Hamilton Premier Shares and Hamilton
Classic Shares will pay the Shareholder Servicing Agents an annual shareholder
servicing fee, accrued daily and payable monthly, of .25% of the Hamilton
Premier Shares' and Hamilton Classic Shares' respective average daily net
assets. The shareholder servicing plan does not cover, and the fees thereunder
are not payable to, Shareholder Organizations with respect to Hamilton Shares.
 
   The Fund has adopted a distribution plan ('12b-1 Plan') with respect to
Hamilton Classic Shares of the Fund, pursuant to which the Fund will pay BNY
Hamilton Distributors, Inc. for expenses incurred during the year in connection
with the distribution of Hamilton Classic Shares. The aggregate amount payable
annually by the Fund as provided in the 12b-1 Plan may not exceed .25% of the
Hamilton Classic Shares' average daily net assets.
 
- --------------------------------------------------------------------------------
                                       10

<PAGE>
- --------------------------------------------------------------------------------
 
- ---------
 
         DIRECTORS AND OFFICERS
         Eugene Sullivan, Director and Chairman of the Board
         Peter Herrick, Director
         Leif H. Olsen, Director
         Stephen Stamas, Director
         Edward L. Gardner, Director
         J. David Huber, Chief Executive Officer
         William J. Tomko, President
         Michael J. Brascetta, Vice President
         Mary A. Madick, Vice President
         Karen A. Doyle, Vice President
         Mark E. Nagle, Treasurer
         Martin R. Dean, Assistant Treasurer
         George O. Martinez, Secretary
         Alaina Metz, Assistant Secretary
         Bruce Treff, Assistant Secretary
 
         INVESTMENT ADVISER
         The Bank of New York
 
         ADMINISTRATOR AND DISTRIBUTOR
         BNY Hamilton Distributors, Inc.
 
         TRANSFER AGENT
         BISYS Fund Services, Inc.
 
         CUSTODIAN
         The Bank of New York
 
         INDEPENDENT ACCOUNTANTS
         Deloitte & Touche LLP
 
         LEGAL COUNSEL
         Sullivan & Cromwell
 
- --------------------------------------------------------------------------------
                                       11

<PAGE>

BNY HAMILTON DISTRIBUTORS, INC. IS THE FUND'S DISTRIBUTOR AND IS UNAFFILIATED
WITH THE BANK OF NEW YORK, THE INVESTMENT ADVISER.
 
This report is not authorized for distribution to prospective investors unless
accompanied by a current prospectus for the BNY Hamilton Money Fund. Please read
the prospectus carefully before investing or sending money.
 
         BNY HAMILTON FUNDS, INC.
         3435 Stelzer Road
         Columbus, Ohio 43219-3035
 
INVESTMENTS IN BNY HAMILTON MONEY FUND ARE NOT DEPOSITS, ARE NEITHER GUARANTEED
BY NOR OBLIGATIONS OF THE BANK OF NEW YORK AND ARE NOT INSURED BY THE FDIC OR
ANY OTHER GOVERNMENTAL AGENCY. INVESTMENTS IN MUTUAL FUNDS INVOLVE RISKS,
INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
 
BNY-0039
 
             BNY HAMILTON
             MONEY FUND
 
             SEMI-ANNUAL REPORT
             JUNE 30, 1996
             (UNAUDITED)
 
          O HAMILTON SHARES
 
          O HAMILTON PREMIER
            SHARES
 
          O HAMILTON CLASSIC
            SHARES
 
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