METLIFE STATE STREET MONEY MARKET TRUST
N-30D, 1996-05-24
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[Front cover]

[State Street Logo] State Street Research

State Street Research
Money Market Fund

Annual Report
March 31, 1996

[Photo] Person Fishing

What's inside

From the Chairman:
Favorable markets
reward investors

Fund information:
Facts and figures

Plus, Complete Portfolio Holdings
and Financial Statements

[Dalbar Logo}

        Dalbar
 Honors Commitment To:
       Investors
    For Excellence
          in
Shareholder Service


<PAGE>

State Street Research Money Market Fund 

[Photo of Ralph V. Verni]

Dear Shareholder: 

Over the past 12 months, the markets continued to reward investors. The 
environment was extremely favorable: The economy was growing at a slow but 
reasonable pace, corporate earnings were strong, and inflation was low. More 
recently, we've seen mounting evidence that the economy is picking up speed. 
Job growth and sales of homes and autos have picked up, and consumer 
confidence is higher. 

Stocks 

Over the past 12 months, large-company stocks--the household names we all 
recognize--performed best. A stronger economy is generally considered to be 
good for the stock market, as it can result in higher profits for 
corporations. 

Bonds 

Bonds provided solid results over the past year. They experienced a slump 
over the first three months of 1996, as bonds reacted negatively to a 
stronger economy and the Federal Reserve's reluctance to cut interest rates 
further. 

Looking ahead 

Our outlook continues to call for moderate economic growth and low 
inflation--which should be positive for both stocks and bonds. We don't 
believe the economy will start to overheat. In fact, with interest rates 
moving higher recently, the economy could begin to slow down again. Although 
there could be short-term bumps in the road for the markets, the prospects 
appear favorable for long-term investors. 

Sincerely, 

/s/ Ralph F. Verni 

Ralph F. Verni 
Chairman 
April 30, 1996 

Investment Update 

The Market 

(bullet) Over the past 12 months, a slowing economy and lower interest rates 
         drove money market yields downward. Yields on 90-day Treasury bills 
         dropped from 5.87% on March 31, 1995 to 5.14% on March 31, 1996. 

(bullet) In early 1996, economic growth picked up unexpectedly and interest 
         rates rose. Given the stronger economy, further Federal Reserve rate 
         cuts seem unlikely in the near future. 

(bullet) Money market fund yields won't immediately reflect the recent 
         interest-rate increases, because they typically lag interest-rate 
         movements. 

The Fund 

(bullet) Lower interest rates and the slowing economy caused Money Market 
         Fund's yield to decline from 5.40% to 4.57% (for Class E shares) 
         over the past 12 months. 

(bullet) The Fund's weighted average maturity was 41 days as of March 31, 
         1996. This is about 10 days shorter than the industry average. (See 
         the glossary below for more about weighted average maturity.) 

(bullet) Money Market Fund offers low risk and stability of principal. This 
         was especially beneficial to shareholders in the first quarter of 
         1996, when turbulent markets caused concern among investors in bond 
         funds. 

An investment in Money Market Fund is neither insured nor guaranteed by the 
U.S. government, and there can be no assurance that the portfolio will be 
able to maintain a stable net asset value of $1.00 per share. 

Please note that the discussion throughout this shareholder report is dated 
as indicated and, because of possible changes in viewpoint, data and 
transactions, should not be relied upon as being current thereafter. 

Fund Information (all data are for periods ended March 31, 1996) 

7-Day Yield 
Class B      3.57% 
- --------      ---- 
Class C      4.57% 
- --------      ---- 
Class D      3.57% 
- --------      ---- 
Class E      4.57% 

Yield is calculated by annualizing the Fund's per share distributions for the 
most recent seven days and dividing by the net asset value per share at the 
end of the period. Yields shown reflect voluntary reduction of fund fees and 
expenses. Without a reduction of Fund fees and expenses, the 7-day yield 
would have been 3.37% for Class B shares, 4.37% for Class C shares, 3.37% for 
Class D shares, and 4.37% for Class E shares. 

Interest Rates 
(March 31,1995 to March 31, 1996) 

30-Year Treasury Bonds 
10-Year Treasury Notes 
90-Day Treasury Bills 
Money Market Funds 

[Line Chart] 

5.52        5.85        7.19        7.43
5.53        5.85        7.05        7.33
5.51        5.8         6.28        6.65
5.48        5.56        6.2         6.62
5.36        5.57        6.42        6.84
5.27        5.44        6.29        6.65
5.25        5.41        6.18        6.5
5.22        5.49        6.02        6.33
5.23        5.48        5.75        6.13
5.19        5.07        5.57        5.95
5.05        5.04        5.57        6.02
4.83        5.01        6.1         6.47
4.76        5.14        6.32        6.67

3/95 4/95 5/95 6/95 7/95 8/95 9/95 10/95 11/95 12/95 1/96 2/96 3/96

Sources: Federal Reserve, IBC/Donoghue 

Glossary 

Yield: The measurement of income paid by an investment. It is stated as a 
percentage. 

Weighted average maturity: Expressed as a number of days, the WAM is the 
average maturity of the debt securities in a money market fund. 

Debt securities: These are securities issued by corporations and the U.S. 
government as a way to borrow money. Some common types of debt securities 
include bonds, notes, bills and commercial paper. 

<PAGE>
 
State Street Research Money Market Fund 

Investment Portfolio 
March 31, 1996 
<TABLE>
<CAPTION>
                                   Principal    Maturity        Value 
                                     Amount       Date        (Note 1) 
- -------------------------------     ---------    --------   ------------- 
<S>                              <C>           <C>           <C>
COMMERCIAL PAPER 97.5% 
Bank Holding Company 10.9% 
Canadian Imperial Holdings 
  Inc., 5.09%                    $ 5,000,000   5/31/1996     $ 4,957,583 
Canadian Imperial Holdings 
  Inc., 5.20%                      5,000,000   6/11/1996       4,948,722 
J.P. Morgan & Co., 5.08%           6,000,000   6/03/1996       5,946,660 
J.P. Morgan & Co., 5.07%           5,000,000   6/05/1996       4,954,229 
Toronto Dominion Holdings 
  (U.S.A.), 5.06%                  4,000,000   6/07/1996       3,962,331 
                                                              ----------- 
                                                              24,769,525 
                                                              ----------- 
Canadian 13.8% 
Canadian Wheat Board, 5.10%        4,000,000   5/01/1996       3,983,000 
Canadian Wheat Board, 5.07%        6,000,000   6/03/1996       5,946,765 
Ontario Hydro, 5.36%               5,000,000   4/02/1996       4,999,256 
Ontario Hydro, 5.34%               5,000,000   4/02/1996       4,999,258 
Province of Quebec, 5.27%         11,500,000   6/19/1996      11,367,006 
                                                              ----------- 
                                                              31,295,285 
                                                              ----------- 
Captive Automobile Finance 8.6% 
Ford Motor Credit Co., 5.35%       2,749,000   4/04/1996       2,747,774 
Ford Motor Credit Co., 5.24%       5,400,000   5/10/1996       5,369,346 
General Motors Acceptance 
  Corp., 5.31%                     7,000,000   4/22/1996       6,978,318 
General Motors Acceptance 
  Corp., 5.12%                     2,000,000   4/30/1996       1,991,751 
General Motors Acceptance 
  Corp., 5.33%                     2,500,000   6/17/1996       2,471,499 
                                                              -----------
                                                              19,558,688 
                                                              ----------- 
Captive Finance 7.3% 
Pitney Bowes Credit Corp., 
  5.12%                            5,595,000   5/01/1996       5,571,128 
Sears Roebuck Acceptance Corp., 
  5.12%                            1,000,000   4/30/1996         995,876 
Sears Roebuck Acceptance Corp., 
  5.10%                           10,000,000   5/03/1996       9,954,667 
                                                              ----------- 
                                                              16,521,671 
                                                              ----------- 
Communications 6.4% 
Bell Atlantic Network Funding, 
  5.34%                            6,000,000   4/12/1996       5,990,210 
BellSouth Telecommunications, 
  Inc., 5.23%                      2,735,000   5/24/1996       2,713,941 
Southwestern Bell Telephone 
  Co., 5.25%                       6,000,000   6/27/1996       5,923,875 
                                                              ----------- 
                                                              14,628,026 
                                                              ----------- 
Consumer Finance 8.1% 
American Express Credit Corp., 
  5.35%                          $ 7,500,000   4/05/1996     $ 7,495,542 
Beneficial Corp., 5.46%            5,000,000   4/01/1996       5,000,000 
John Deere Capital Corp. 5.25%     6,000,000   6/28/1996       5,923,000 
                                                              ----------- 
                                                              18,418,542 
                                                              ----------- 
Diversified Finance 15.0% 
CIT Group Holdings, Inc., 
  5.14%                            2,500,000   4/22/1996       2,492,504 
CIT Group Holdings, Inc., 
  5.18%                            4,200,000   6/14/1996       4,155,279 
General Electric Capital Corp., 
  5.24%                            4,000,000   4/25/1996       3,986,187 
General Electric Capital Corp., 
  5.09%                            6,000,000   5/01/1996       5,974,550 
J.C. Penney Funding Corp., 
  5.13%                            6,040,000   4/24/1996       6,020,204 
Transamerica Finance Group, 
  Inc., 5.25%                      4,500,000   4/17/1996       4,489,500 
Transamerica Finance Group, 
  Inc., 5.15%                      2,000,000   4/18/1996       1,995,136 
Transamerica Finance Group, 
  Inc., 5.03%                      5,000,000   5/08/1996       4,974,151 
                                                              ----------- 
                                                              34,087,511 
                                                              ----------- 
Electric 6.0% 
Pacific Gas and Electric, 5.20%    2,608,000   4/02/1996       2,607,623 
Southern California Edison Co., 
  5.26%                            4,000,000   4/26/1996       3,985,390 
Southern California Edison Co., 
  5.08%                            7,000,000   5/07/1996       6,964,440 
                                                              ----------- 
                                                              13,557,453 
                                                              ----------- 
Food & Beverage Products 3.9% 
Coca-Cola Co., 5.12%               6,000,000   4/25/1996       5,979,520 
Philip Morris Companies, Inc., 
  5.35%                            3,000,000   4/08/1996       2,996,879 
                                                              ----------- 
                                                               8,976,399 
                                                              ----------- 
Grains 4.8% 
Cargill, Inc., 5.32%               7,000,000   4/09/1996       6,991,725 
Cargill, Inc., 5.02%               4,000,000   5/20/1996       3,972,669 
                                                              ----------- 
                                                              10,964,394 
                                                              ----------- 
Office Equipment 2.4% 
Hewlett-Packard Co., 5.23%         5,500,000   4/26/1996       5,480,024 
                                                              -----------

The accompanying notes are an integral part of the financial statements. 

                                       2

<PAGE>
State Street Research Money Market Fund 
Investment Portfolio (cont'd) 

Plastic Materials 2.0% 
E.I. du Pont de Nemours and 
  Co., 5.23%                      $4,500,000   5/24/1996    $  4,465,352 
                                                              ----------- 
Printing & Publishing 3.3% 
McGraw-Hill, Inc., 5.23%           7,500,000   6/25/1996       7,407,385 
                                                              ----------- 
Soap, Detergent 5.0% 
Procter & Gamble, 5.03%            8,000,000   5/17/1996       7,948,582 
Procter & Gamble, 5.20%            3,500,000   6/17/1996       3,461,072 
                                                              ----------- 
                                                              11,409,654 
                                                              ----------- 
Total Commercial Paper (Cost $221,539,909)                   221,539,909 
                                                              -----------
U.S. GOVERNMENT 2.2% 
U.S. Agency Mortgage 2.2% 
Federal Home Loan Mortgage 
  Corp., 5.30%                     5,025,000   4/01/1996       5,025,000 
                                                              ----------- 
</TABLE>
<TABLE>
<CAPTION>
<S>                                                         <C>
 Total U.S. Government (Cost $5,025,000)                       5,025,000 
                                                              ----------- 
Total Investments (Cost $226,564,909)--99.7%                 226,564,909 
Cash and Other Assets, Less Liabilities--0.3%                    582,224 
                                                              ----------- 
Net Assets--100.0%                                          $227,147,133 
                                                              ===========

</TABLE>

Statement of Assets and Liabilities 
March 31, 1996 

<TABLE>
<S>                                                         <C>
Assets 
Investments, at value (Cost $226,564,909) (Note 1)          $226,564,909 
Cash                                                               5,169 
Receivable for fund shares sold                                2,626,183 
Receivable from Distributor (Note 3)                              41,252 
Other assets                                                       7,664 
                                                              ----------- 
                                                             229,245,177 
Liabilities 
Payable for fund shares redeemed                               1,447,656 
Dividends payable                                                244,948 
Accrued transfer agent and shareholder services (Note 2)         210,881 
Accrued management fee (Note 2)                                   97,617 
Accrued distribution and service fees (Note 5)                    11,015 
Accrued trustees' fees (Note 2)                                   10,595 
Other accrued expenses                                            75,332 
                                                              ----------- 
                                                               2,098,044 
                                                              ----------- 
Net Assets                                                  $227,147,133 
                                                              =========== 
Net Assets consist of: 
 Shares of beneficial interest                              $227,147,133 
                                                              =========== 
Net Asset Value and offering price per share of 
  Class B shares ($11,883,647 / 11,883,647 shares of 
  beneficial interest)*                                             $1.00 
                                                              =========== 
Net Asset Value, offering price and redemption price per 
  share of Class C shares ($16,191,218 / 16,191,218 
  shares of beneficial interest)                                    $1.00 
                                                              =========== 
Net Asset Value and offering price per share of 
  Class D shares ($1,963,536 / 1,963,536 shares of 
  beneficial interest)*                                             $1.00 
                                                              =========== 
Net Asset Value, offering price and redemption price per 
  share of Class E shares ($197,108,732 / 197,108,732 
  shares of beneficial interest)                                    $1.00 
                                                              =========== 
</TABLE>

* Redemption price per share for Class B and Class D is equal to net asset 
  value less any applicable contingent deferred sales charge. 

The accompanying notes are an integral part of the financial statements.

                                       3

<PAGE>
 
State Street Research Money Market Fund 

Statement of Operations 
For the year ended March 31, 1996 

<TABLE>

<S>                                                 <C>
Investment Income 
Interest                                            $12,348,893 

Expenses 
Management fee (Note 2)                               1,063,955 
Transfer agent and shareholder services (Note 2)        820,302 
Registration fees                                       107,702 
Custodian fee                                           105,470 
Reports to shareholders                                  31,654 
Trustees' fees (Note 2)                                  31,434 
Distribution and service fees--Class B (Note 5)         111,938 
Distribution and service fees--Class D (Note 5)           7,038 
Audit fee                                                23,332 
Legal fees                                                  384 
Miscellaneous                                            11,867 
                                                      ---------- 
                                                      2,315,076 
Expenses borne by the Distributor (Note 3)             (600,157) 
                                                      ---------- 
                                                      1,714,919 
                                                      ---------- 

Net investment income and net increase in net 
  assets resulting from operations                  $10,633,974 
                                                      ========== 
</TABLE>

Statement of Changes in Net Assets 
<TABLE>
<CAPTION>
                                    Year ended March 31 
                                ---------------------------- 
                                    1996           1995 
- ----------------------------     -----------   ------------- 
<S>                            <C>             <C>
Increase (Decrease) in Net Assets 
Operations: 
Net investment income and 
  net increase resulting 
  from operations              $ 10,633,974    $  7,152,656 
                                  ---------      ----------- 
Dividends from net investment 
  income: 
 Class B                           (454,124)       (217,870) 
 Class C                           (716,481)       (256,892) 
 Class D                            (28,738)        (42,149) 
 Class E                         (9,434,631)     (6,635,745) 
                                  ---------      ----------- 
                                (10,633,974)     (7,152,656) 
                                  ---------      ----------- 
Net increase from fund share 
  transactions (Note 6)          58,605,553      25,424,190 
                                  ---------      ----------- 
Total increase in net assets     58,605,553      25,424,190 

Net Assets 
Beginning of year               168,541,580     143,117,390 
                                  ---------      ----------- 
End of year                    $227,147,133    $168,541,580 
                                  =========      =========== 
</TABLE>

The accompanying notes are an integral part of the financial statements. 

                                       4

<PAGE>

State Street Research Money Market Fund 

Notes to Financial Statements 
March 31, 1996

Note 1 

State Street Research Money Market Fund, formerly MetLife-State Street 
Research Money Market Fund (the "Fund") is a series of State Street Research 
Money Market Trust, formerly MetLife-State Street Money Market Trust (the 
"Trust"), which was organized as a Massachusetts business trust in April, 
1985 and is registered under the Investment Company Act of 1940, as amended, 
as an open-end management investment company. The Fund commenced operations 
in August, 1986. The Fund is presently the only active series of the Trust, 
although the Trustees have the authority to create an unlimited number of 
series. 

The investment objective of the Fund is to seek a high level of current 
income consistent with preservation of capital and maintenance of liquidity. 
The Fund seeks to achieve its investment objective by investing in securities 
issued or guaranteed as to principal and interest by the U.S. Government or 
its agencies or instrumentalities as well as high quality, short-term money 
market instruments such as bank certificates of deposit, bankers' acceptances 
and such short-term corporate debt securities as commercial paper and master 
demand notes. 

The Fund offers four classes of shares. Class B shares are subject to a 
contingent deferred sales charge on certain redemptions made within five 
years of purchase and pay annual distribution and service fees of 1.00%. 
Class B shares automatically convert into Class E shares (which pay lower 
ongoing expenses) at the end of eight years after the issuance of the Class B 
shares. Class C shares are only offered to certain employee benefit plans and 
large institutions. No sales charge is imposed at the time of purchase or 
redemption of Class C shares. Class C shares do not pay any distribution or 
service fees. Class D shares are subject to a contingent deferred sales 
charge of 1.00% on any shares redeemed within one year of their purchase. 
Class D shares also pay annual distribution and service fees of 1.00%. Class 
E shares are offered to any individual. Class E shares are not subject to any 
initial or contingent deferred sales charges and do not pay any distribution 
or service fees. The Fund's expenses are borne pro rata by each class, except 
that each class bears expenses, and has exclusive voting rights with respect 
to provisions of the Plan of Distribution, related specifically to that 
class. The Trustees declare separate dividends on each class of shares. 

The following significant accounting policies are consistently followed by 
the Fund in preparing its financial statements, and such policies are in 
conformity with generally accepted accounting principles for investment 
companies. 

A. Investment Valuation 
The Fund values securities at amortized cost, pursuant to which the Fund must 
adhere to certain conditions. The amortized cost method involves valuing a 
portfolio security initially at its cost and thereafter assuming a constant 
amortization to maturity of any discount or premium regardless of the effect 
of fluctuating interest rates on the market value of the investments. 

B. Security Transactions 
Security transactions are accounted for on the trade date (date the order to 
buy or sell is executed). Realized gains or losses, if any, are reported on 
the basis of identified cost of securities delivered. 

C. Net Investment Income 
Net investment income is determined daily and consists of interest accrued 
and discount earned, less amortization of premium and the estimated daily 
expenses of the Fund. Interest income is accrued daily as earned. 

D. Dividends 
Dividends from net investment income are declared daily and paid or 
reinvested monthly. Net realized capital gains, if any, are distributed 
annually, unless additional distributions are required for compliance with 
applicable tax regulations. 

E. Federal Income Taxes 
No provision for Federal income taxes is necessary because the Fund has 
elected to qualify under Subchapter M of the Internal Revenue Code and its 
policy is to distribute all of its taxable income, including net realized 
capital gains, within the prescribed time periods. 

F. Estimates 
The preparation of financial statements in conformity with generally accepted 
accounting principles requires management to make estimates and assumptions 
that affect the reported amounts of assets and liabilities and disclosure of 
contingent assets and liabilities at the date of the financial statements and 
the reported amounts of income and expenses during the reporting period. 
Actual results could differ from those estimates. 

Note 2 
The Trust and State Street Research & Management Company (the "Adviser"), an 
indirect wholly owned subsidiary of Metropolitan Life Insurance Company 
("Metropolitan"), have entered into an agreement under which the Adviser 
earns monthly fees at an annual rate of 0.50% of the Fund's average daily net 
assets. In consideration of these fees, the Adviser furnishes the Fund with 
management, investment advisory, statistical and research facilities and 
services. The Adviser also pays all salaries, rent and certain other expenses 
of management. During the year ended March 31, 1996, the fees pursuant to 
such agreement amounted to $1,063,955. 

State Street Research Shareholder Services, a division of State Street 
Research Investment Services, Inc., the Trust's principal underwriter (the 
"Distributor"), an indirect wholly owned subsidiary of Metropolitan, provides 
certain shareholder services to the Fund such as responding to inquiries and 
instructions from investors with respect to the purchase and redemption of 
shares of the Fund. During the year ended March 31, 1996, the amount of such 
expenses was $168,089. 

The fees of the Trustees not currently affiliated with the Adviser amounted 
to $31,434 during the year ended March 31, 1996. 

                                       5

<PAGE>
 
State Street Research Money Market Fund 

Note 3 
The Distributor and its affiliates may from time to time and in varying 
amounts voluntarily assume some portion of fees or expenses relating to the 
Fund. During the year ended March 31, 1996, the amount of such expenses 
assumed by the Distributor and its affiliates was $600,157. 

Note 4 
For the year ended March 31, 1996, purchases and sales, including maturities, 
of securities aggregated $2,610,708,140 and $2,565,728,446, respectively. 

Note 5 
The Trust has adopted a Plan of Distribution Pursuant to Rule 12b-1 (the 
"Plan") under the Investment Company Act of 1940. Under the Plan, the Fund 
pays annual distribution and service fees to the Distributor at a rate of 
0.75% and 0.25%, respectively, of average daily net assets for Class B and 
Class D shares. The Distributor uses such payments for personal services 
and/or the maintenance of shareholder accounts, to reimburse securities 
dealers for distribution and marketing services, to furnish ongoing 
assistance to investors and to defray a portion of its distribution and 
marketing expenses. For the year ended March 31, 1996, fees pursuant to such 
plan amounted to $111,938 and $7,038 for Class B and Class D shares, 
respectively. 

The Fund has been informed that MetLife Securities, Inc., a wholly-owned 
subsidiary of Metropolitan, earned commissions aggregating $13,749 on sales 
of the Fund's Class B shares and that the Distributor collected contingent 
deferred sales charges of $226,763 on redemptions of Class B shares during 
the year ended March 31, 1996. 

Note 6 
The Trustees have the authority to issue an unlimited number of shares of 
beneficial interest, $.001 par value per share. 

At March 31, 1996, Metropolitan owned 507,232 Class D shares and Metropolitan 
and certain of its affiliates held of record 54,004,214 Class E shares of the 
Fund. The Adviser owned 21,481 Class E shares and the Distributor owned 
19,500,000 Class E shares of the Fund. 

<TABLE>
<CAPTION>
                                                              Year ended March 31 
                                         -------------------------------------------------------------- 
                                                     1996                             1995 
                                          ----------------------------   ------------------------------ 
Class B                                     Shares          Amount          Shares           Amount 
- -------------------------------------     ------------    ------------    ------------   -------------- 
<S>                                      <C>            <C>              <C>             <C>
Shares sold                                25,459,225   $  25,459,225      23,182,577    $  23,182,577 
Issued upon reinvestment of dividends         310,628         310,628         187,109          187,109 
Shares repurchased                        (23,208,467)    (23,208,467)    (17,075,600)     (17,075,600) 
                                           ----------      ----------      ----------      ------------ 
Net increase                                2,561,386   $   2,561,386       6,294,086    $   6,294,086 
                                           ==========      ==========      ==========      ============ 
Class C                                   Shares          Amount          Shares          Amount 
- -------------------------------------      ----------      ----------      ----------      ------------ 
Shares sold                                32,210,132   $  32,210,132      29,413,278    $  29,413,278 
Issued upon reinvestment of dividends         663,095         663,095         136,567          136,567 
Shares repurchased                        (24,568,290)    (24,568,290)    (23,449,528)     (23,449,528) 
                                           ----------      ----------      ----------      ------------ 
Net increase                                8,304,937   $   8,304,937       6,100,317    $   6,100,317 
                                           ==========      ==========      ==========      ============ 
Class D                                   Shares          Amount          Shares          Amount 
- -------------------------------------      ----------      ----------      ----------      ------------ 
Shares sold                                 7,691,536   $   7,691,536       4,119,869    $   4,119,869 
Issued upon reinvestment of dividends          17,289          17,289          35,281           35,281 
Shares repurchased                         (6,587,059)     (6,587,059)     (3,487,480)      (3,487,480) 
                                           ----------      ----------      ----------      ------------ 
Net increase                                1,121,766   $   1,121,766         667,670    $     667,670 
                                           ==========      ==========      ==========      ============ 
Class E                                   Shares          Amount          Shares          Amount 
- -------------------------------------      ----------      ----------      ----------      ------------ 
Shares sold                               880,060,476   $ 880,060,476     895,389,466    $ 895,389,466 
Issued upon reinvestment of dividends       6,168,315       6,168,315       4,099,011        4,099,011 
Shares repurchased                       (839,611,327)   (839,611,327)   (887,126,360)    (887,126,360) 
                                           ----------      ----------      ----------      ------------ 
Net increase                               46,617,464   $  46,617,464      12,362,117    $  12,362,117 
                                           ==========      ==========      ==========      ============ 
</TABLE>

                                       6

<PAGE>
 
State Street Research Money Market Fund 

Financial Highlights 
For a share outstanding throughout each year: 
<TABLE>
<CAPTION>
                                              Class B                        Class C                       Class D 
                                       ----------------------          --------------------          -------------------- 
                                        Year ended March 31            Year ended March 31            Year ended March 31 
                                       ----------------------          --------------------          -------------------- 
                                       1996      1995    1994**       1996      1995     1994**       1996    1995    1994** 
- -----------------------------------    -----     ----    ----         ----      ----     -----        ----    ----    ---- 
<S>                                   <C>       <C>      <C>         <C>       <C>       <C>         <C>     <C>      <C>
Net asset value, beginning of year    $1.000    $1.000   $1.000      $1.000    $1.000    $1.000      $1.000  $1.000   $1.000 
Net investment income*                  .041      .032     .012        .051      .042      .021        .041    .032     .013 
Dividends from net investment 
  income                               (.041)    (.032)   (.012)      (.051)    (.042)    (.021)      (.041)  (.032)   (.013) 
                                      ------    ------   ------      ------    ------    ------      ------  ------   ------ 
Net asset value, end of year          $1.000    $1.000   $1.000      $1.000    $1.000    $1.000      $1.000  $1.000   $1.000 
                                      ======    ======   ======      ======    ======    ======      ======  ======   ====== 
Total return                            4.16%+    3.27%+   1.27%+++    5.20%+    4.31%+    2.08%+++    4.16%+  3.28%+   1.30 %+++ 
Net assets at end of year (000s)     $11,884    $9,322   $3,028      $16,19    $7,886    $1,786      $1,964    $842     $174 
Ratio of operating expenses to 
  average net assets*                   1.75%     1.75%    1.75%++     0.75%     0.75%     0.75%++     1.75%   1.75%    1.75%++ 
Ratio of net investment income to 
  average net assets*                   4.06%     3.53%    1.54%++     5.03%     4.66%     2.54%++     4.08%   3.30%    1.54%++ 
 *Reflects voluntary assumption of 
  fees or expenses per share in 
  each year (Note 3).                 $ .003    $ .004   $ .007      $ .003    $ .003    $ .006      $ .003  $ .005   $ .002 
</TABLE>

<TABLE>
<CAPTION>
                                                                                Class E 
                                                        ------------------------------------------------------- 
                                                                          Year ended March 31 
                                                        ------------------------------------------------------- 
                                                           1996        1995      1994***       1993        1992 
- ---------------------------------------------------------------------------------------------------------------
<S>                                                     <C>         <C>         <C>         <C>         <C>
Net asset value, beginning of year                        $1.000      $1.000      $1.000      $1.000      $1.000 
Net investment income*                                      .051        .042        .025        .028        .048 
Dividends from net investment income                       (.051)      (.042)      (.025)      (.028)      (.048) 
                                                          -------      -----       -----       -----       ------- 
Net asset value, end of year                              $1.000      $1.000      $1.000      $1.000      $1.000 
                                                          =======      =====       =====       =====       ======= 
Total return                                                5.20%+      4.31%+      2.48%+      2.88%+      4.85%+ 
Net assets at end of year (000s)                        $197,109    $150,491    $138,129    $149,831    $168,088 
Ratio of operating expenses to average net assets*          0.75%       0.75%       0.75%       0.75%       0.75% 
Ratio of net investment income to average net   
  assets*                                                   5.06%       4.26%       2.46%       2.84%       4.77% 
 *Reflects voluntary assumption of fees or expenses   
  per share in each year (Note 3).                         $.003       $.006       $.003       $.001       $.001 

</TABLE>

** June 1, 1993 (commencement of share class designations) to March 31, 1994. 
  
++ Annualized. 

+  Total return figures do not reflect any front-end or contingent deferred 
   sales charges. Total return would be lower if the Distributor and its 
   affiliates had not voluntarily assumed a portion of the Fund's expenses. 

++ Represents aggregate return for the period without annualization and does 
   not reflect any front-end or contingent deferred sales charges. Total 
   return would be lower if the Distributor and its affiliates had not 
   voluntarily assumed a portion of the Fund's expenses. 

***Effective November 30, 1993, the Fund discontinued offering Class A shares 
   and any existing Class A shares were redesignated Class E shares. Net 
   investment income and dividends amounted to $.011 per share for Class A 
   shares during the period June 1, 1993 (commencement of share class 
   designations) to November 30, 1993. 

                                       7

<PAGE>
 
Report of Independent Accountants 

To the Trustees of State Street Research Money Market Trust and 
the Shareholders of State Street Research Money Market Fund 

In our opinion, the accompanying statement of assets and liabilities, 
including the investment portfolio, and the related statements of operations 
and of changes in net assets and the financial highlights present fairly, in 
all material respects, the financial position of State Street Research Money 
Market Fund (formerly MetLife-State Street Research Money Market Fund) (a 
series of State Street Research Money Market Trust, hereafter referred to as 
the "Trust") at March 31, 1996, and the results of its operations, the 
changes in its net assets and the financial highlights for the periods 
indicated, in conformity with generally accepted accounting principles. These 
financial statements and financial highlights (hereafter referred to as 
"financial statements") are the responsibility of the Trust's management; our 
responsibility is to express an opinion on these financial statements based 
on our audits. We conducted our audits of these financial statements in 
accordance with generally accepted auditing standards which require that we 
plan and perform the audit to obtain reasonable assurance about whether the 
financial statements are free of material misstatement. An audit includes 
examining, on a test basis, evidence supporting the amounts and disclosures 
in the financial statements, assessing the accounting principles used and 
significant estimates made by management, and evaluating the overall 
financial statement presentation. We believe that our audits, which included 
confirmation of securities at March 31, 1996 by correspondence with the 
custodian, provide a reasonable basis for the opinion expressed above. 

Price Waterhouse LLP 
Boston, Massachusetts 
May 10, 1996 

                                       8

<PAGE>
 
State Street Research Money Market Fund 

Fund Information, Officers and Trustees of State Street Research Money Market 
Trust 

Fund Information 
State Street Research 
Money Market Fund 
One Financial Center 
Boston, MA 02111 

Investment Adviser 
State Street Research & 
Management Company 
One Financial Center 
Boston, MA 02111 

Distributor 
State Street Research 
Investment Services, Inc. 
One Financial Center 
Boston, MA 02111 

Shareholder Services 
State Street Research 
Shareholder Services 
P.O. Box 8408 
Boston, MA 02266-8408 
1-800-562-0032 

Custodian 
State Street Bank and 
Trust Company 
225 Franklin Street 
Boston, MA 02110 

Legal Counsel 
Goodwin, Procter & Hoar 
Exchange Place 
Boston, MA 02109 

Independent Accountants 
Price Waterhouse LLP 
160 Federal Street 
Boston, MA 02110 

Officers 

Ralph F. Verni 
Chairman of the Board, 
President and 
Chief Executive Officer 

JoAnne C. Mulligan 
Vice President 

Thomas A. Shively 
Vice President 

Gerard P. Maus 
Treasurer 

Joseph W. Canavan 
Assistant Treasurer 

Douglas A. Romich 
Assistant Treasurer 

Francis J. McNamara, III 
Secretary and General Counsel 

Darman A. Wing 
Assistant Secretary and 
Assistant General Counsel 

Amy L. Simmons 
Assistant Secretary 

Trustees 

Ralph F. Verni 
Chairman of the Board, 
President, Chief Executive 
Officer and Director, 
State Street Research & 
Management Company 

Edward M. Lamont 
Formerly in banking (Morgan 
Guaranty Trust Company of 
New York); presently engaged 
in private investments and 
civic affairs 

Robert A. Lawrence 
Partner, Saltonstall & Co. 

Dean O. Morton 
Retired; formerly Executive 
Vice President, Chief 
Operating Officer and Director, 
Hewlett-Packard Company 

Thomas L. Phillips 
Retired; formerly Chairman of 
the Board and Chief Executive 
Officer, Raytheon Company 

Toby Rosenblatt 
President, 
The Glen Ellen Company 
Vice President, 
Founders Investments Ltd. 

Michael S. Scott Morton 
Jay W. Forrester Professor of 
Management, Sloan School of 
Management, Massachusetts 
Institute of Technology 

Jeptha H. Wade 
Retired; formerly Of Counsel, 
Choate, Hall & Stewart 

                                       9

<PAGE>

Back Cover

State Street Research Money Market Fund
One Financial Center
Boston, MA 02111

   Bulk Rate
 U.S. Postage
     PAID
 Brockton, MA
Permit No. 600

Questions? Comments?
Call us at 1-800-562-0032,
or write us at:
  State Street Research
  Shareholder Services
  P.O. Box 8408
  Boston, MA 02266-8408

[State Street Logo] State Street Research

This report is prepared for the general information of current shareholders
only. It is not authorized for use as sales material with prospective investors.

The Dalbar awards recognize quality shareholder service and should not be
considered a rating of fund performance. The survey included mutual fund 
complexes that volunteered or were otherwise selected to participate and was
not industry-wide.

CONTROL NUMBER: 3150-960523(0697)SSR-LD    

Cover Illustration by Dorothy Cullinan     MM-572D-596



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