NUVEEN TAX EXEMPT MONEY MARKET FUND INC
N-30D, 1995-05-04
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<PAGE>
 
   
                                            ANNUAL REPORT FEBRUARY 28, 1995 

REPORT OF INDEPENDENT PUBLIC ACCOUNTANTS     
                 To the Board of Directors and Shareholders of
                 Nuveen Tax-Exempt Money Market Fund, Inc.:
                    
                 We have audited the accompanying statement of net assets of
                 Nuveen Tax-Exempt Money Market Fund, Inc. (a Maryland
                 corporation), including the portfolio of investments, as of
                 February 28, 1995, and the related statement of operations
                 for the year then ended, the statements of changes in net
                 assets for each of the two years in the period then ended and
                 the financial highlights for the periods indicated thereon.
                 These financial statements and financial highlights are the
                 responsibility of the Fund's management. Our responsibility
                 is to express an opinion on these financial statements and
                 financial highlights based on our audits.     
                    
                  We conducted our audits in accordance with generally
                 accepted auditing standards. Those standards require that we
                 plan and perform the audit to obtain reasonable assurance
                 about whether the financial statements and financial
                 highlights are free of material misstatement. An audit
                 includes examining, on a test basis, evidence supporting the
                 amounts and disclosures in the financial statements. Our
                 procedures included confirmation of securities owned as of
                 February 28, 1995, by correspondence with the custodian and
                 brokers. An audit also includes assessing the accounting
                 principles used and significant estimates made by management,
                 as well as evaluating the overall financial statement
                 presentation. We believe that our audits provide a reasonable
                 basis for our opinion.     
                    
                  In our opinion, the financial statements and financial
                 highlights referred to above present fairly, in all material
                 respects, the net assets of Nuveen Tax-Exempt Money Market
                 Fund, Inc. as of February 28, 1995, the results of its
                 operations for the year then ended, the changes in its net
                 assets for each of the two years in the period then ended and
                 the financial highlights for the periods indicated thereon in
                 conformity with generally accepted accounting principles.
                                                   
                    
                                                   ARTHUR ANDERSEN LLP     
 
                 Chicago, Illinois,
                    
                 April 3, 1995     
 
                                         21
<PAGE>
 
          
PORTFOLIO OF INVESTMENTS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                 RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                         <C>      <C>
              ALABAMA - 4.1%
 $ 21,000,000 Birmingham Medical Clinic Board
               (University of Alabama Health Services
               Foundation), Variable Rate Demand Bonds,
               3.850%, 12/01/26+                              A-1+ $ 21,000,000
    5,935,000 Boaz Industrial Development Board
               (Parker-Hannifin Corporation Project),
               Variable Rate Demand Bonds,
               4.050%, 9/01/12+                               Aa-2    5,935,000
    4,000,000 Marshall County, Special Obligation
               School Refunding Warrants, Series 1994,
               Variable Rate Demand Bonds,
               4.150%, 2/01/12+                               A-1+    4,000,000
- -------------------------------------------------------------------------------
              ALASKA - 2.0%
   15,000,000 Valdez Marine Terminal (Exxon Pipeline
               Company Project), 1993-C, Commercial
               Paper, 4.150%, 4/6/95                        VMIG-1   15,000,000
- -------------------------------------------------------------------------------
              ARIZONA - 2.8%
    6,800,000 Maricopa County Pollution Control
               Corporation (Arizona Public Service
               Company, Palo Verde Project), Variable
               Rate Demand Bonds, 3.900%, 5/01/29+            A-1+    6,800,000
    7,500,000 Maricopa County Pollution Control
               Corporation (Arizona Public Service
               Company, Palo Verde Project, Series E),
               Variable Rate Demand Bonds,
               4.000%, 5/01/29+                                P-1    7,500,000
    2,000,000 Maricopa County Elementary School
               District No. 6 (Washington Elementary
               School, Series 1994B), Tax Anticipation
               Notes, 5.000%, 7/28/95                        SP-1+    2,005,986
    4,500,000 Maricopa County Unified School District
               No. 69 (Paradise Valley Unified School
               District), Series 1994B, Tax
               Anticipation Notes, 5.000%, 7/28/95           SP-1+    4,513,470
- -------------------------------------------------------------------------------
              ARKANSAS - 0.4%
    3,000,000 Arkansas Hospital Equipment Finance
               Authority (Washington Regional Medical
               Center), Variable Rate Demand Bonds,
               4.350%, 10/01/98+                            VMIG-1    3,000,000
- -------------------------------------------------------------------------------
              CALIFORNIA - 19.2%
   20,000,000 California 1994-1995 Revenue Anticipation
               Index Notes, Series B, Variable Rate
               Demand Bonds, 4.140%, 6/28/95                 MIG-1   20,000,000
   20,000,000 California Pollution Control Finance
               Authority (Pacific Gas and Electric),
               Commercial Paper, 4.000%, 4/10/95            VMIG-1   20,000,000
   18,000,000 California School Cash Reserve Program
               Authority, 1994 Pool Bonds, Series A
               Notes, 4.500%, 7/05/95                        MIG-1   18,041,994
   23,235,000 Los Angeles County, 1994-1995 Tax
               Anticipation Notes, 4.500%, 6/30/95           MIG-1   23,249,487
   33,000,000 San Bernardino County Housing Authority
               (Highland Hills), Commercial Paper,
               4.900%, 5/01/15 (Optional put 5/01/95)          N/R   33,000,000
   20,400,000 San Bernardino County Transportation
               Authority, Limited Tax Bonds, Series
               1994A, Variable Rate Demand Bonds,
               4.100%, 3/01/10+                             VMIG-1   20,400,000
    8,400,000 San Francisco Redevelopment Agency,
               Multi-Family Housing (Bayside Village),
               Variable Rate Demand Bonds,
               3.900%, 12/01/05+                            VMIG-1    8,400,000
</TABLE>    
 
 
                                         22
<PAGE>
 
                                               
                                            ANNUAL REPORT FEBRUARY 28, 1995     
 
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                 RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                         <C>      <C>
              COLORADO - 1.8%
 $  6,800,000 Adams County Industrial Development
               (Clear Creek Business Park Project),
               Variable Rate Demand Bonds,
               4.050%, 11/01/08+                               P-1 $  6,800,000
    6,860,000 Commerce City (Golf Enterprise), Variable
               Rate Demand Bonds 1994, 4.250%,
               11/01/21+                                     MIG-1    6,860,000
- -------------------------------------------------------------------------------
              DISTRICT OF COLUMBIA - 4.1%
    5,400,000 District of Columbia General Obligation,
               General Fund Recovery, Variable Rate
               Demand Bonds, 4.500%, 6/01/03+                 A-1+    5,400,000
   25,500,000 District of Columbia General Obligation,
               Series 1991B-3, Variable Rate Demand
               Bonds, 4.500%, 6/01/03+                        A-1+   25,500,000
- -------------------------------------------------------------------------------
              FLORIDA - 7.7%
   20,000,000 Florida Housing Finance Agency, Multi-
               Family, 1985 Series D
               (Kings Colony), Variable Rate Demand
               Bonds, 4.125%, 8/01/06+                      VMIG-1   20,000,000
    1,900,000 Brevard County Housing Finance Authority,
               Multi-Family Housing (Shore View
               Apartments Projects), 1995, Variable
               Rate Demand Bonds, 4.250%, 2/01/15+             A-1    1,900,000
    7,000,000 Hialeah Hospital, Series 1989, Variable
               Rate Demand Bonds,
               4.350%, 2/01/14+                             VMIG-1    7,000,000
    1,600,000 Jacksonville Health Facilities Authority
               (Baptist Medical Center), Series 1993,
               Variable Rate Demand Bonds,
               3.950%, 6/01/08+                                P-1    1,600,000
    7,700,000 Miami Health Facilities Authority (Miami
               Jewish Home and Hospital for the Aged,
               Inc.), Series 1992, Variable Rate Demand
               Bonds, 4.050%, 3/01/12+                        Aa-3    7,700,000
   15,000,000 Sunshine State Governmental Financing,
               Commercial Paper,
               4.200%, 5/5/95                               VMIG-1   15,000,000
    5,000,000 West Orange Memorial Hospital, Series
               1991A, Commercial Paper, 4.150%, 4/11/95     VMIG-1    5,000,000
- -------------------------------------------------------------------------------
              GEORGIA - 5.5%
    8,900,000 Georgia Municipal Gas Authority (Transco
               Portfolio Project), Commercial Paper,
               3.900%, 3/27/95                              VMIG-1    8,900,000
   15,000,000 Columbia Elderly Authority, Residential
               Care Facilities (Augusta Resource Center
               on Aging Inc.), Variable Rate Demand
               Bonds, 4.050%, 1/01/21+                        Aa-3   15,000,000
    4,875,000 Floyd County Environmental Improvement
               (Georgia-Kraft), Variable Rate Demand
               Bonds, 3.950%, 12/01/15+                        P-1    4,875,000
   13,000,000 Fulton County Housing Authority, Multi-
               Family Housing (Spring Creek Crossing
               Project), Variable Rate Demand Bonds,
               4.100%, 10/01/24+                              A-1+   13,000,000
- -------------------------------------------------------------------------------
              IDAHO - 1.0%
    8,000,000 Nez Perce Pollution Control (Potlatch),
               Variable Rate Demand Bonds,
               4.000%, 12/01/14+                              A-1+    8,000,000
</TABLE>    
 
 
                                         23
<PAGE>
 
   
PORTFOLIO OF INVESTMENTS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.--CONTINUED     
       
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                 RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                         <C>      <C>
              ILLINOIS - 7.8%
              Illinois General Obligation Notes:
 $ 15,000,000 4.750%, 4/17/95                                MIG-1 $ 15,017,228
    9,000,000 4.750%, 6/15/95                                MIG-1    9,005,771
    2,295,000 Illinois Health Facilities Authority
               (Alexian Brothers Medical Center
               Project), Commercial Paper, 4.200%,
               5/8/95                                         A-1+    2,295,000
    6,500,000 Chicago General Obligation, Variable Rate
               Demand Bonds,
               4.000%, 1/01/10+                             VMIG-1    6,500,000
   17,000,000 Chicago O'Hare International Airport
               (American Airlines), Series 1983,
               Variable Rate Demand Bonds, 3.950%,
               12/01/17+                                    VMIG-1   17,000,000
    9,200,000 Chicago O'Hare International Airport
               (American Airlines), Series 1983D,
               Variable Rate Demand Bonds,
               3.950%, 12/01/17+                            VMIG-1    9,200,000
- -------------------------------------------------------------------------------
              IOWA - 3.0%
   22,665,000 Iowa School Corporations, Warrant
               Certificates, Series A 1994, Municipal
               Notes, 4.250%, 7/17/95                        MIG-1   22,718,656
- -------------------------------------------------------------------------------
              KANSAS - 0.8%
    6,000,000 Manhattan Industrial Development Board
               (Parker-Hannifin Corporation), Variable
               Rate Demand Bonds, 4.050%, 9/01/09+            Aa-2    6,000,000
- -------------------------------------------------------------------------------
              KENTUCKY - 1.3%
   10,000,000 Louisville and Jefferson County,
               Metropolitan Sewer District, Series
               1995A, Variable Rate Demand Bonds,
               4.400%, 3/01/96+                                A-1   10,000,000
- -------------------------------------------------------------------------------
              LOUISIANA - 0.4%
    3,500,000 Jefferson Parish Hospital, Service
               District No. 2, Series 1985, Variable
               Rate Demand Bonds, 4.100%, 12/01/15+         VMIG-1    3,500,000
- -------------------------------------------------------------------------------
              MICHIGAN - 0.7%
    5,000,000 Michigan State Strategic Fund Pollution
               Control (Consumers Power Company),
               Variable Rate Demand Bonds,
               4.000%, 4/15/18+                                P-1    5,000,000
- -------------------------------------------------------------------------------
              NEBRASKA - 0.6%
    4,480,000 Scotts Bluff County Hospital Authority 1,
               Elderly Residential Facility, GNMA (West
               Village), Variable Rate Demand Bonds,
               4.250%, 12/01/31+                               A-1    4,480,000
- -------------------------------------------------------------------------------
              NEW JERSEY - 0.8%
    6,058,800 Ocean Township Sewer Authority, 1985
               Series A, Variable Rate Demand Bonds,
               4.250%, 12/01/11+                               Aaa    6,058,800
- -------------------------------------------------------------------------------
              NEW YORK - 11.5%
   10,800,000 New York State Energy Research and
               Development Authority (Niagara Power
               Corporation), Variable Rate Demand
               Bonds, 4.100%, 7/01/15+                        A-1+   10,800,000
   12,000,000 New York State Energy Research and
               Development Authority, (New York State
               Electric and Gas Company), 1985 Series
               D, Commercial Paper, 4.000%, 4/07/95           A-1+   12,000,000
</TABLE>    
 
 
                                         24
<PAGE>
 
                                               
                                            ANNUAL REPORT FEBRUARY 28, 1995     
       
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                 RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                         <C>      <C>
              NEW YORK (CONTINUED)
 $  7,300,000 New York State Thruway Authority,
               Variable Rate Demand Bonds, 3.800%,
               1/01/24+                                     VMIG-1 $  7,300,000
   10,000,000 New York City Anticipation Notes, Fiscal
               1995, Series A, 4.500%, 4/12/95               MIG-1   10,004,660
              New York City General Obligation,
               Variable Rate Demand Bonds:
    6,500,000 3.950%, 2/01/21+                              VMIG-1    6,500,000
    6,200,000 3.950%, 2/01/22+                              VMIG-1    6,200,000
    2,200,000 New York City General Obligation,
               Variable Rate Demand Bonds, Fiscal 1994
               B-4, 4.000%, 8/15/21+                        VMIG-1    2,200,000
   14,600,000 New York City Municipal Water Authority,
               Water and Sewer, Variable Rate Demand
               Bonds, 3.900%, 6/15/23+                      VMIG-1   14,600,000
   18,000,000 New York City Housing Development (East
               96th Street), Variable Rate Demand
               Bonds, 3.800%, 8/01/15+                      VMIG-1   18,000,000
- -------------------------------------------------------------------------------
              NORTH CAROLINA - 3.1%
    7,100,000 North Carolina Medical Care Commission,
               Variable Rate Demand Bonds,
               4.050%, 12/01/25+                              A-1+    7,100,000
   12,400,000 North Carolina Medical Care Commission,
               Hospital Pooled Financing (Duke
               University Hospital), Variable Rate
               Demand Bonds, 3.900%, 10/01/20+              VMIG-1   12,400,000
    4,000,000 Wake County Industrial Facilities and
               Pollution Control Finance Authority,
               Commercial Paper, 3.850%, 4/13/95               P-1    4,000,000
- -------------------------------------------------------------------------------
              OHIO - 1.9%
    9,000,000 Ohio Air Quality Development Authority,
               Pollution Control (Cincinnati Gas and
               Electric Company), 1985A, Commercial
               Paper, 3.700%, 3/06/95                         A-1+    9,000,000
    5,200,000 Montgomery County (Miami Valley
               Hospital), Commercial Paper, 4.250%,
               4/07/95                                      VMIG-1    5,200,000
- -------------------------------------------------------------------------------
              OREGON - 1.9%
    4,700,000 Multnomah County, Tax Anticipation Notes,
               4.500%, 6/30/95                               MIG-1    4,715,811
    5,000,000 Port of Morrow (Portland General
               Electric-Boardman Project), Variable
               Rate Demand Bonds, 4.000%, 10/01/13+         VMIG-1    5,000,000
    1,400,000 Port of St. Helen's, Pollution Control
               (Portland General Electric), Variable
               Rate Demand Bonds, 4.000%, 4/01/10+          VMIG-1    1,400,000
    3,300,000 Port of St. Helen's, Pollution Control
               (Portland General Electric),
               1985-B, Variable Rate Demand Bonds,
               4.000%, 6/01/10+                             VMIG-1    3,300,000
- -------------------------------------------------------------------------------
              PENNSYLVANIA - 2.9%
    2,500,000 Philadelphia Tax Anticipation Notes,
               Series B, 1994-1995, 4.750%, 6/15/95          MIG-1    2,500,625
    6,000,000 Philadelphia School District Tax,
               Anticipation Notes, 1994-1995, 4.750%,
               6/30/95                                       MIG-1    6,012,908
    8,115,000 Schuylkill County Industrial Development
               Authority, Resource Recovery
               (Northeastern Power Company Project),
               1985 Variable Rate Demand Bonds, 3.800%,
               12/01/11+                                       A-1    8,115,000
</TABLE>    
 
 
                                         25
<PAGE>
 
   
PORTFOLIO OF INVESTMENTS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.--CONTINUED     
       
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                 RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                         <C>      <C>
              PENNSYLVANIA (CONTINUED)
 $  5,600,000 Washington County Authority, Higher
               Education, Pooled Equipment Lease,
               Series 1985A, Variable Rate Demand
               Bonds,
               4.100%, 11/01/05+                            VMIG-1 $  5,600,000
- -------------------------------------------------------------------------------
              SOUTH DAKOTA - 0.7%
    5,000,000 South Dakota Health and Education
               Authority (McKennan Hospital), Series
               1994, Variable Rate Demand Bonds,
               4.150%, 7/01/14+                             VMIG-1    5,000,000
- -------------------------------------------------------------------------------
              TEXAS - 7.3%
   12,200,000 Texas Small Business Industrial
               Development Corporation, Variable Rate
               Demand Bonds, 4.150%, 7/01/26+               VMIG-1   12,200,000
   27,350,000 Texas Tax Anticipation Notes, 5.000%,
               8/31/95                                       MIG-1   27,450,534
    2,500,000 Angelina and Neches River Authority,
               Solid Waste Disposal, Series 1984B,
               Variable Rate Demand Bonds, 3.900%,
               5/01/14+                                     VMIG-1    2,500,000
    5,000,000 Austin Combined Utility Systems (Travis
               and Williamson Counties), Commercial
               Paper, Series A, 4.200%, 5/10/95               A-1+    5,000,000
    2,000,000 Montgomery County Industrial Development
               Corporation (Houston Area Research
               Center), Variable Rate Demand Bonds,
               3.850%, 12/01/15+                              A-1+    2,000,000
    1,900,000 San Antonio Industrial Development
               Authority (Rivercenter Associates
               Project), Variable Rate Demand Bonds,
               4.150%, 12/01/12+                              Aa-3    1,900,000
    2,300,000 Southwest Higher Education Authority,
               Southern Methodist University, Variable
               Rate Demand Bonds, 4.000%, 7/01/15+          VMIG-1    2,300,000
    2,400,000 Tarrant County Health Facilities
               Corporation, Retirement Cumberland,
               Variable Rate Demand Bonds, 3.950%,
               1/01/21+                                        A-1    2,400,000
- -------------------------------------------------------------------------------
              UTAH - 2.6%
   14,950,000 Intermountain Power Agency, Power Supply,
               Series 1985E, Commercial Paper,
               3.550%, 7/01/21 (Optional Put 6/15/95)       VMIG-1   14,950,000
    4,650,000 West Valley City Industrial Development
               (Johnson Matthey Project), Variable Rate
               Demand Bonds, 3.850%, 12/01/11+                 N/R    4,650,000
- -------------------------------------------------------------------------------
              VIRGINIA - 0.7%
    4,300,000 Fairfax County Industrial Development
               Authority (Fairfax Hospital System),
               Variable Rate Demand Bonds,
               4.050%, 10/01/25+                            VMIG-1    4,300,000
    1,400,000 Henrico County Industrial Development
               Health Facility, Series 1994 (The
               Hermitage at Cedarfield), Variable Rate
               Demand Bonds, 4.000%, 5/01/24+               VMIG-1    1,400,000
- -------------------------------------------------------------------------------
              WASHINGTON - 2.1%
   16,000,000 Washington State Housing Finance
               Commission (Emerald Heights Project),
               Variable Rate Demand Bonds,
               3.950%, 1/01/21+                                A-1   16,000,000
- -------------------------------------------------------------------------------
              WISCONSIN - 1.6%
    8,000,000 Wisconsin Health and Educational Facility
               Authority (Felician Health Care,
               Inc), Variable Rate Demand Bonds,
               4.150%, 1/01/19+                             VMIG-1    8,000,000
    3,935,000 River Falls Commercial Development
               (Erdeco Partnership Project), Variable
               Rate Demand Bonds, 4.500%, 11/01/13+           Aa-3    3,935,000
</TABLE>    
 
 
                                         26
<PAGE>
 
   
                                            ANNUAL REPORT FEBRUARY 28, 1995     
<TABLE>   
<CAPTION>
 PRINCIPAL
 AMOUNT       DESCRIPTION                                RATINGS* MARKET VALUE
- -------------------------------------------------------------------------------
 <C>          <S>                                        <C>      <C>
              WYOMING - 0.7%
    4,100,000 Converse Company Pollution Control
               (Pacificorp Project), Commercial Paper,
               4.000%, 4/12/95                               A-1+    4,100,000
    1,000,000 Sweetwater County Pollution Control
               (Pacificorp), Variable Rate Demand
               Bonds, 3.850%, 12/01/14+                      A-1+    1,000,000
- -------------------------------------------------------------------------------
 $762,903,800 Total Investments - 101.0%                           763,190,930
- -------------------------------------------------------------------------------
- -------------------
              Other Assets Less Liabilities - (1.0%)                (3,947,277)
- -------------------------------------------------------------------------------
              Net Assets - 100%                                   $759,243,653
</TABLE>    
 
- --------------------------------------------------------------------------------
   
* Ratings (not covered by the report of independent public accountants): Using
the higher of Standard & Poor's or Moody's rating.     
N/R - Investment is not rated.
   
+ The security has a maturity of more than one year, but has variable rate and
demand features which qualify it as a short-term security. The rate disclosed
is that currently in effect. This rate changes periodically based on market
conditions or a specified market index.     
 
See accompanying notes to financial statements.
 
                                         27
<PAGE>
 
   
STATEMENT OF NET ASSETS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
<TABLE>    
<CAPTION>
 
- -----------------------------------------------------
  <S>                                    <C>
  ASSETS
  Investments in short-term municipal
   securities, at amortized cost (note
   1)                                    $763,190,930
  Cash                                        983,589
  Interest receivable                       6,838,322
  Other assets                                 20,993
                                         ------------
    Total assets                          771,033,834
                                         ------------
 
  LIABILITIES
  Payable for investments purchased         9,300,000
  Accrued expenses:
   Management fees (note 3)                   227,762
   Other                                      248,029
  Dividends payable                         2,014,390
                                         ------------
    Total liabilities                      11,790,181
                                         ------------
  Net assets applicable to shares
   outstanding
   (note 4)                              $759,243,653
                                         ------------
 
  Shares outstanding                      759,243,653
                                         ------------
 
  Net asset value, offering and
   redemption price per share (net
   assets divided by shares outstanding) $       1.00
                                         ------------
</TABLE>    
 
See accompanying notes to financial statements.
 
                                         28
<PAGE>
 
   
                                                ANNUAL REPORT FEBRUARY 28, 1995 
STATEMENT OF OPERATIONS

Year ended February 28, 1995     
 
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.
<TABLE>
<CAPTION>
- -------------------------------------------------------
  <S>                                      <C>
  INVESTMENT INCOME
  Interest income (note 1)                 $25,518,113
                                           -----------
  Expenses:
   Management fees (note 3)                  3,225,810
   Shareholders' servicing agent fees and
    expenses                                    22,226
   Custodian's fees and expenses               197,972
   Directors' fees and expenses (note 3)        11,003
   Professional fees                            28,944
   Shareholders' reports--printing and
    mailing expenses                            65,582
   Federal and state registration fees          53,671
   Other expenses                               34,293
                                           -----------
    Total expenses                           3,639,501
                                           -----------
    Net investment income                   21,878,612
  Net gain (loss) from investment
   transactions                                (30,535)
                                           -----------
  Net increase in net assets from
   operations                              $21,848,077
                                           -----------
</TABLE>
 
See accompanying notes to financial statements.
 
                                         29
<PAGE>
 
   
STATEMENT OF CHANGES IN NET ASSETS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
       
       
- -----------------------------------------------------------------------------
    
<TABLE> 
<CAPTION>
                                               Year  ended     Year  ended
                                                 2/28/95         2/28/94
- -----------------------------------------------------------------------------
  <S>                                         <C>             <C>
  OPERATIONS
  Net investment income                       $   21,878,612  $   26,382,052
  Net realized gain (loss) from investment
   transactions                                      (30,535)        (24,488)
                                              --------------  --------------
  Net increase in net assets from operations      21,848,077      26,357,564
                                              --------------  --------------
 
  DISTRIBUTIONS TO SHAREHOLDERS (note 1)         (21,848,077)    (26,357,564)
                                              --------------  --------------
 
  COMMON SHARE TRANSACTIONS
   (at constant net asset value of $1 per
    share) (note 1)
  Net proceeds from sale of shares             5,126,352,054   7,427,356,857
  Net asset value of shares issued to
   shareholders due to reinvestment of
   distributions from net investment income
   and from net realized gains from
   investment transactions                         5,501,313       6,336,358
                                              --------------  --------------
                                               5,131,853,367   7,433,693,215
  Cost of shares redeemed                     (5,348,442,330) (8,054,874,958)
                                              --------------  --------------
  Net increase (decrease) in net assets
   derived from Common share transactions       (216,588,963)   (621,181,743)
  Net assets at the beginning of year            975,832,616   1,597,014,359
                                              --------------  --------------
  Net assets at the end of year               $  759,243,653  $  975,832,616
                                              --------------  --------------
</TABLE>    
 
See accompanying notes to financial statements.
 
                                         30
<PAGE>
 
                                               
NOTES TO FINANCIAL STATEMENTS               ANNUAL REPORT FEBRUARY 28, 1995     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
                 1. GENERAL INFORMATION AND SIGNIFICANT ACCOUNTING POLICIES
                 The Nuveen Tax-Exempt Money Market Fund, Inc. (the "Fund") is
                 registered under the Investment Company Act of 1940 as an
                 open-end, diversified management investment company. The
                 following is a summary of significant accounting policies
                 followed by the Fund in the preparation of its financial
                 statements in accordance with generally accepted accounting
                 principles.
 
Securities Valuation
                    
                 Investments consist of short-term municipal securities
                 maturing within one year from the date of acquisition.
                 Securities with a maturity of more than one year in all cases
                 have variable rate and demand features qualifying them as
                 short-term securities and are traded and valued at amortized
                 cost. On a dollar-weighted basis, the average maturity of all
                 such securities must be 90 days or less (at February 28,
                 1995, the dollar-weighted average life was 37 days).     
 
Securities Transactions
                 Securities transactions are recorded on a trade date basis.
                 Realized gains and losses from such transactions are
                 determined on the specific identification method. Securities
                 purchased or sold on a when-issued or delayed delivery basis
                 may be settled a month or more after the transaction date.
                 The securities so purchased are subject to market fluctuation
                 during this period. The Fund has instructed the custodian to
                 segregate assets in a separate account with a current value
                 at least equal to the amount of its purchase commitments. At
                 February 28, 1995, there were no such purchase commitments.
 
Interest Income  Interest income is determined on the basis of interest
                 accrued, adjusted for premium amortized and discount earned.
 
                                         31
<PAGE>
 
   
NOTES TO FINANCIAL STATEMENTS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
 
 
Dividends and Distributions to Shareholders
                 Net investment income, adjusted for realized short-term gains
                 and losses on investment transactions, is declared as a
                 dividend to shareholders of record as of the close of each
                 business day and payment is made or reinvestment is credited
                 to shareholder accounts after month-end.
 
Federal Income Taxes
                 The Fund intends to comply with the requirements of the
                 Internal Revenue Code applicable to regulated investment
                 companies by distributing all of its income including any net
                 realized gains from investments, to shareholders. Therefore,
                 no federal income tax provision is required. Furthermore, the
                 Fund intends to satisfy conditions which will enable interest
                 from municipal securities, which is exempt from regular
                 federal income tax, to retain such tax exempt status when
                 distributed to shareholders. All income dividends paid during
                 the year ended February 28, 1995, have been designated Exempt
                 Interest Dividends.
 
Insurance Commitments
                 The Fund has obtained commitments (each a "Commitment") from
                 Municipal Bond Investors Assurance Corporation ("MBIA") with
                 respect to certain designated bonds held by the Fund for
                 which credit support is furnished by banks ("Approved Banks")
                 approved by MBIA under its established credit approval
                 standards. Under the terms of a Commitment, if the Fund were
                 to determine that certain adverse circumstances relating to
                 the financial condition of the Approved Bank had occurred,
                 the Fund could cause MBIA to issue a "while-in-fund"
                 insurance policy covering the underlying bonds; after time
                 and subject to further terms and conditions, the Fund could
                 obtain from MBIA an "insured-to-maturity" insurance policy as
                 to the covered bonds. Each type of insurance policy would
                 insure payment of interest on the bonds and payment of
                 principal at maturity. Although such insurance would not
                 guarantee the market value of the bonds or the value of the
                 Fund's shares, the Fund believes that its ability to obtain
                 insurance for such bonds under such adverse circumstances
                 will enable the Fund to hold or dispose of such bonds at a
                 price at or near their par value.
 
                                         32
<PAGE>
 
                                               
                                            ANNUAL REPORT FEBRUARY 28, 1995     
 
 
Derivative Financial Instruments
                    
                 In October 1994, the Financial Accounting Standards Board
                 (FASB) issued Statement of Financial Accounting Standards No.
                 119 Disclosure about Derivative Financial Instruments and
                 Fair Value of Financial Instruments which prescribes
                 disclosure requirements for transactions in certain
                 derivative financial instruments including futures, forward,
                 swap, and option contracts, and other financial instruments
                 with similar characteristics. Although the Funds are
                 authorized to invest in such financial instruments, and may
                 do so in the future, they did not make any such investments
                 during the fiscal year ended February 28, 1995, other than
                 occasional purchases of high quality synthetic money market
                 securities.     
 
                 2. SECURITIES TRANSACTIONS
                    
                 Purchases and sales (including maturities) of investment
                 securities during the fiscal year ended February 28, 1995,
                 aggregated $4,005,558,706 and $4,202,855,766, respectively.
                     
                  For federal income tax purposes, the cost of investments
                 owned at February 28, 1995, was the same as the cost for
                 financial reporting purposes.
 
                                         33
<PAGE>
 
   
NOTES TO FINANCIAL STATEMENTS     
   
NUVEEN TAX-EXEMPT MONEY MARKET FUND, INC.     
 
                 3. MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES
                 Under the Fund's investment management agreement with Nuveen
                 Advisory Corp. ("the Adviser"), a wholly owned subsidiary of
                 The John Nuveen Company, the Fund pays the Adviser an annual
                 management fee, payable monthly, as follows:
 
<TABLE>
<CAPTION>
  AVERAGE DAILY NET ASSET VALUE       MANAGEMENT FEE
  <S>                                 <C>
  For the first $500,000,000            .400 of 1%
  For the next $500,000,000             .375
  For the next $1,000,000,000           .350
  For net assets over $2,000,000,000    .325
</TABLE>
- --------------------------------------------------------------------------------
                    
                 The management fee is reduced by, or the Adviser assumes
                 certain Fund expenses in an amount necessary to prevent the
                 Fund's total expenses (including the Adviser's fee, but
                 excluding interest, taxes, fees incurred in acquiring and
                 disposing of portfolio securities and, to the extent
                 permitted, extraordinary expenses) in any fiscal year from
                 exceeding .45 of 1% of the average daily net asset value of
                 the Fund.     
                  The management fee referred to above compensates the Adviser
                 for overall investment advisory and administrative services,
                 and general office facilities. The Fund pays no compensation
                 directly to its directors who are affiliated with the Adviser
                 or to its officers, all of whom receive remuneration for
                 their services to the Fund from the Adviser.
 
                 4. COMPOSITION OF NET ASSETS
                    
                 At February 28, 1995, the Fund had 5 billion shares of $.01
                 par value common stock authorized. Net assets consisted of
                 $759,243,653 capital paid in.     
 
                                         34
<PAGE>
 
                                               
                                            ANNUAL REPORT FEBRUARY 28, 1995     
                                                                               
                                                                                
                 5. INVESTMENT COMPOSITION
                 The Fund invests in municipal securities which include
                 general obligation, escrowed and revenue bonds. At February
                 28, 1995, the revenue sources by municipal purpose, expressed
                 as a percent of total investments, were as follows:
 
<TABLE>   
<CAPTION>
 
- -------------------------------------
  <S>                            <C>
  Revenue bonds:
   Pollution control facilities   24%
   Health care facilities         17
   Housing facilities             15
   Water/Sewer facilities          4
   Electrical utilities            2
   Transportation                  1
   Lease rental facilities         1
   Educational facilities          1
   Other                           8
  General obligation bonds        27
- -------------------------------------
                                 100%
</TABLE>    
                    
                 At February 28, 1995, 74% of the investments owned by the
                 Fund have credit enhancements (letters of credit, guarantees
                 or insurance) issued by third party domestic or foreign banks
                 or other institutions.     
                  For additional information regarding each investment
                 security, refer to the Portfolio of Investments.
 
                                         35
<PAGE>
 
FINANCIAL HIGHLIGHTS
   
SELECTED DATA FOR A SHARE OUTSTANDING THROUGHOUT EACH PERIOD IS AS FOLLOWS:
    
- --------------------------------------------------------------------------------
<TABLE>   
<CAPTION>
                              Income from investment
                                    operations              Less distributions
                         -----------------------------------------------------------
                                           Net realized
                                                    and
                  Net asset                  unrealized     Dividends
                      value           Net   gain (loss)      from net  Distributions
                  beginning    investment          from    investment           from
                  of period        income   investments        income  capital gains
<S>           <C>           <C>           <C>           <C>            <C>
 
- ------------------------------------------------------------------------------------
- ------------------------------------------------------------------------------------
 Year ended
 2/28/95             $1.000         $.027           $--        $(.027)           $--
 2/28/94              1.000          .020            --         (.020)            --
 2/28/93              1.000          .026            --         (.026)            --
 10/1/91 to
 2/29/92              1.000          .016            --         (.016)            --
 Year ended
 9/30/91              1.000          .049            --         (.049)            --
 9/30/90              1.000          .058            --         (.058)            --
 9/30/89              1.000          .060            --         (.060)            --
 9/30/88              1.000          .049            --         (.049)            --
 9/30/87              1.000          .041            --         (.041)            --
 9/30/86              1.000          .048            --         (.048)            --
 9/30/85              1.000          .052            --         (.052)            --
- ------------------------------------------------------------------------------------
</TABLE>    
* Annualized.
 
                                      36
<PAGE>
 
                                               
                                            ANNUAL REPORT FEBRUARY 28, 1995     
- --------------------------------------------------------------------------------
<TABLE>   
<CAPTION>
                                    Ratio/supplemental data
                               -------------------------------------------
   Net
 asset   Total return                                         Ratio of net
 value             on     Net assets            Ratio of investment income
end of      net asset  end of period expenses to average        to average
period          value (in thousands)          net assets        net assets
<S>     <C>           <C>            <C>                 <C>
- --------------------------------------------------------------------------
- --------------------------------------------------------------------------
 
$1.000          2.69%     $  759,244                .44%             2.65%
 1.000           2.04        975,833                 .42              2.04
 1.000           2.57      1,597,014                 .40              2.58
 
 1.000           1.56      2,332,021                .39*             3.71*
 
 1.000           4.85      1,927,583                 .38              4.81
 1.000           5.75      1,800,966                 .40              5.74
 1.000           6.00      1,756,725                 .39              6.02
 1.000           4.89      2,044,479                 .39              4.90
 1.000           4.09      1,927,003                 .39              4.09
 1.000           4.77      2,472,401                 .40              4.71
 1.000           5.22      1,913,875                 .40              5.18
- --------------------------------------------------------------------------
</TABLE>    
 
                                            37


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