PUTNAM NEW YORK TAX EXEMPT MONEY MARKET FUND
N-30D, 1996-01-25
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Putnam 
New York 
Tax Exempt 
Money Market 
Fund 

ANNUAL REPORT 
November 30, 1995 
                                [Putnam logo] 
             B O S T O N (bullet) L O N D O N (bullet) T O K Y O 

                                      
<PAGE>
 
Fund highlights 

(dagger)"In a year when the direction of interest rates changed course very 
        quickly, maintaining current income and share price stability was 
        particularly challenging -- however, we have been able to succeed on 
        both counts without compromising the fund's high quality standards. 

                                                  Lindsey Strong, Fund Manager 

         CONTENTS 
 4       Report from Putnam Management 
 7       Fund performance summary 
10       Portfolio holdings 
13       Financial statements 

                                      2 

<PAGE>
 
From the Chairman 

[photo of George Putnam] 
(c) Karsh, Ottawa 

Dear Shareholder: 

Changes in short-term interest rates are of consuming interest to Lindsey 
Strong as she manages the portfolio of Putnam New York Tax Exempt Money 
Market Fund. During the fiscal year that ended on November 30, 1995, Lindsey 
guided the fund to yet another year of competitive returns. 

The fiscal year began as the Federal Reserve Board continued its efforts to 
slow the economy to a sustainable growth rate by a series of increases in 
short-term rates. Satisfied that the strategy had worked, the Fed posted its 
last increase in February. In July and again in December (after the close of 
fiscal 1995), the Fed lowered rates by a quarter of a percentage point each 
time. 

Meanwhile, a new and fiscally conservative administration had taken over the 
reins in Albany, creating a certain amount of uncertainty as it put its 
program together. 

Throughout the period, Lindsey kept close watch, constantly adjusting the 
portfolio in response to and in anticipation of events. In the report that 
follows, she discusses fiscal 1995 performance and the outlook for fiscal 
1996. 

Respectfully yours, 

/s/ George Putnam 

George Putnam 
Chairman of the Trustees 
January 17, 1996 

                                      3 

<PAGE>
 
Report from the Fund Manager 
Lindsey C. Strong 

During the 12 months ended November 30, 1995, Putnam New York Tax Exempt 
Money Market Fund once again generated a competitive return. Throughout the 
period, our conservative approach of investing in high-quality, short-term 
investments provided shareholders with a steady stream of double tax-free 
income and a stable price of $1.00 per share. Our primary challenge this year 
was to manage the fund in an environment where the direction of interest 
rates changed course very quickly. 

(dagger) CHANGING RATES MEAN A CHANGING INVESTMENT ENVIRONMENT 

At the end of 1994, economic growth remained strong and concerns about 
increased inflation dominated the financial markets. At that time, the 
Federal Reserve Board's anti-inflation policy of periodically raising 
short-term interest rates was in full force. 

Even as the Fed was raising rates for the last time in February 1995, the 
success of its anti-inflation policy was becoming apparent. The growth in 
gross domestic product (GDP) slowed from 5.1% during the fourth quarter of 
1994 to 2.8% during the first quarter of 1995. During the second quarter of 
1995, GDP growth declined to 0.5%. By early summer, recession fears began to 
mount, and in July, the Fed lowered the federal funds rate from 6.0% to 
5.75%. Toward the end of the summer and during the fall, leading economic 
indicators began to show signs of strength, and recession concerns abated. In 
December, after the end of the fiscal year, the Fed lowered the rate another 
quarter point. 

In New York, the new administration that took office at the beginning of 1995 
has attempted to adopt a more fiscally conservative posture in managing the 
state's budget. However, the public debate over which state programs may 
continue to be funded and which ones may be reduced or cut from the budget 
has created uncertainty in the New York economy. While the economy improved 
during the period, it did so at a slower rate than the national economy. 

                                      4 

<PAGE>
 
(dagger) CAPITALIZING ON INTEREST-RATE MOVES 

While many factors contributed to the fund's performance, our active 
investment strategy remains the key ingredient. We combine ongoing analysis 
of our current holdings with continuous monitoring of the marketplace in 
search of appropriate new investments. We believe this is a prudent strategy 
geared for long-term success. While we cannot guarantee future share values, 
we remain committed to the conservative investment policies that have enabled 
the fund to sustain its performance in a lower interest rate environment. 

As interest rates fluctuated, we focused on maximizing income while at the 
same time maintaining a very high-quality portfolio of securities. To this 
end, when interest rates were rising, we shortened the average maturity of 
the portfolio. This allowed us to take advantage of incrementally higher 
yields. When interest rates began to decline, we reversed our approach and 
sought to lock in higher yields by lengthening the average maturity of the 
portfolio. 

(dagger) SECURITY SELECTION FOCUSED ON QUALITY 

The market for New York's short-term, tax-exempt securities maintained a 
healthy balance between supply and demand. New issuance of securities was 
relatively stable from past years, and we were able to find investments that 
met our criteria for quality. 

In selecting securities for the portfolio, we primarily invested in variable 
rate demand notes (VRDNs). VRDNs pay variable interest rates that reset at 
daily, weekly, or monthly intervals. As interest rates declined, we targeted 
a higher percentage of fixed- rate instruments to lock in the higher rates. 
This helped protect the fund from the interest rate declines that occurred as 
the market adjusted to economic changes. In addition, over 85% of the fund's 
investments were insured or backed by bank letters of credit as of 11/30/95. 
These features enhance the quality assurance of the securities in the 
portfolio, even those rated in the highest categories by nationally 
recognized rating services. 

(dagger) OUR OUTLOOK 

As always, we will be monitoring the national and New York economies very 
carefully in the coming months. Because the 

                                      5 

<PAGE>
 
Federal Reserve Board seems to have achieved its goals of lower inflation and 
a slowly growing economy, we believe interest rates could decline further. At 
the state level, we expect the debate over the budget to continue, and we 
will keep a close eye on political events in Albany for developments that may 
affect the securities in which your fund invests. As a matter of course, we 
will continue to use Putnam's strong credit research and analytical abilities 
to uncover securities that we believe provide the highest quality and 
strongest income for the fund and will maintain our emphasis on stability of 
principal, high quality, and liquidity. 

[graphic] PERFORMANCE COMPARISONS (11/30/95) 

                                Current          After-tax         After-tax 
                                return*          return(1)         return(2) 
Passbook savings account          2.01%            1.07%              1.12% 
Taxable money market fund 
7-day yield                       5.29             2.81               2.95 
3-month certificate of 
deposit (as of 11/29/95)          4.21             2.24               2.35 
Putnam New York 
Tax Exempt Money 
Market Fund (7-day yield)         3.09             3.09               3.09 


The principal value and interest of money market mutual funds is uninsured 
and designed to be fixed, while distributions vary daily. The principal value 
on passbook savings and bank CDs are generally insured up to certain limits 
by state and federal agencies. CDs, unlike stocks which incur more risk, 
offer a fixed rate of return. Unlike money market funds, early withdrawals 
from bank CDs may be subject to substantial penalties. Investment returns 
will fluctuate. After-tax return(1) assumes a combined 46.88% Federal, New 
York State and New York City tax rate. After-tax return(2) assumes a combined 
44.19% Federal and New York State tax rate. An investment in this fund is 
neither insured nor guaranteed by the U.S. Government. The fund is managed to 
maintain a steady price of $1.00 per share, although there is no assurance 
this price will be maintained in the future. 

*Sources: Bank of Boston (passbook savings), IBC/Donaghue's Money Fund Report 
(taxable money market fund 7-day yield), Bank Rate Monitor (3-month CDs). 

The views expressed throughout this report are exclusively those of Putnam 
Management. They are not meant as investment advice. Although the described 
holdings were viewed favorably as of 11/30/95, there is no guarantee the fund 
will continue to hold these securities in the future. 

                                      6 

<PAGE>
 
Performance summary 

Performance should always be considered in light of a fund's investment 
strategy. Putnam New York Tax Exempt Money Market Fund is designed for 
investors seeking as high a level of current income free from Federal income 
tax, New York State and New York City personal income taxes as Putnam 
Management believes is consistent with preservation of capital and 
maintenance of liquidity and stability of principal. 

This section provides, at a glance, information about your fund's 
performance. Total return shows how the value of the fund's shares changed 
over time, assuming you held the shares through the entire period and 
reinvested all distributions in the fund. 

TOTAL RETURN FOR PERIODS ENDED 11/30/95 

                                       Lipper New York 
                             Fund        Tax Exempt       Consumer 
                            Shares      Money Market       Price 
                            at NAV         Average         Index 
 ----------------------------------------------------------------- 
1 year                       3.23%           3.28%          2.61% 
 ----------------------------------------------------------------- 
5 years                     14.20           14.60          14.80 
Annual average               2.69            2.76           2.80 
 ----------------------------------------------------------------- 
Life of fund 
(10/26/87)                  32.74           33.13          33.22 
Annual average               3.56            3.60           3.60 
 ----------------------------------------------------------------- 


TOTAL RETURN FOR PERIODS ENDED 12/31/95 
(most current calendar quarter) 


                          Fund shares 
                            at NAV 
 ------------------------------------ 
1 year                        3.24% 
 ------------------------------------ 
5 years                      14.01 
Annual average                2.66 
 ------------------------------------ 
Life of fund 
(10/26/87)                   33.10 
Annual average                3.56 
 ------------------------------------ 


Performance data represent past results and should not be taken as an 
assurance of future performance. Investment returns will fluctuate. They do 
not take into account any adjustment for taxes payable on reinvested 
distributions. An investment in the fund is neither insured nor guaranteed by 
the U.S. government. There can be no assurance that the fund will be able to 
maintain a stable net asset value of $1.00 per share. 

                                      7 

<PAGE>
 
PRICE AND DISTRIBUTION INFORMATION 
12 months ended 11/30/95 

 ----------------------------------------------------- 
Distributions (number)                              12 
 ----------------------------------------------------- 
Income                                       $0.031780 
 ----------------------------------------------------- 
Current return 
 ----------------------------------------------------- 
End of period 
 ----------------------------------------------------- 
7-day yield(1)                                   3.09% 
 ----------------------------------------------------- 
Taxable equivalent(2)(a)                          5.54 
 ----------------------------------------------------- 
Taxable equivalent(2)(b)                          5.82 
 ----------------------------------------------------- 
30-day yield(1)                                   3.17 
 ----------------------------------------------------- 
Taxable equivalent(2)(a)                          5.68 
 ----------------------------------------------------- 
Taxable equivalent(2)(b)                          5.97 
 ----------------------------------------------------- 


(1) The 7- and 30-day yields are the two most common gauges for measuring 
    money market mutual fund performance. 

(2) Assumes (a) the maximum combined Federal and New York State tax rate of
    44.19% or (b) the maximum combined Federal, New York State, and New York
    City tax rates of 46.88%. Results for investors subject to lower tax rates
    would not be as advantageous.

TERMS AND DEFINITIONS 

Net asset value (NAV) is the value of all your fund's assets, minus any 
liabilities, divided by the number of outstanding shares. 

COMPARATIVE BENCHMARKS 

Lipper New York Tax Exempt Money Market Fund 
Average is an arithmetic average of the total return of all tax exempt money 
market mutual funds tracked by Lipper Analytical Services. Lipper is an 
independent rating organization for the mutual fund industry. Lipper rankings 
vary for other periods. The fund's holdings do not match those in the Lipper 
Average. 

Consumer Price Index (CPI) is a commonly used measure of inflation; it does 
not represent an investment return. 

                                      8 

<PAGE>
 
Report of independent accountants 
For the year ended November 30, 1995 

To the Trustees and Shareholders of 
Putnam New York Tax Exempt Money Market Fund 

We have audited the accompanying statement of assets and liabilities of 
Putnam New York Tax Exempt Money Market Fund, including the portfolio of 
investments owned, as of November 30, 1995, the related statement of 
operations for the year then ended, and the statements of changes in net 
assets for each of the two years in the period then ended and the financial 
highlights for each of the periods indicated therein. 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 from 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 November 30, 1995, by correspondence with the 
custodian. 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 financial position of 
Putnam New York Tax Exempt Money Market Fund as of November 30, 1995, the 
results of its operations for the year then ended, and the changes in its net 
assets for each of the two years in the period then ended and the financial 
highlights for each of the periods indicated therein, in conformity with 
generally accepted accounting principles. 

                                                      Coopers & Lybrand L.L.P. 
Boston, Massachusetts 
January 12, 1996 

                                      9 

<PAGE>
 
Portfolio of investments owned 
November 30, 1995 


       Key to 
       Abbreviations 
       BIGI                      -- Bond Investors Guaranty Insurance 
       FGIC                      -- Federal Guaranty Insurance Corporation 
       GO                        -- General Obligation 
       MCP                       -- Municipal Commercial Paper 
       RAN                       -- Revenue Anticipation Notes 
       VRDN                      -- Variable Rate Demand Notes 


<TABLE>
<CAPTION>
MUNICIPAL BONDS AND NOTES (74.0%)* 
PRINCIPAL AMOUNT                                           RATINGS**          VALUE 

New York 
 ---------------------------------------------------------------------------------- 
<S>            <C>                                            <C>       <C>
$2,000,000     Erie Cnty., RAN (Union Bank of 
               Switzerland LOC), 4-1/2s, 9/20/96              MIG1      $2,010,087 
 2,000,000     Metropolitan Trans. Auth. NY, Rev. Bond, 
               Ser. F, 8-3/8s, 7/1/16                          AAA       2,092,760 
 2,035,000     Monroe Cnty., Indl. Dev. Agcy. Notes VRDN 
               (Columbia Sussex) (Cumberland Federal 
               Savings and Loan LOC), 5s, 11/1/14             A-1+       2,035,000 
               NY City, Hsg. Dev. Corp. VRDN 
 2,000,000     (East 96th St.) (Mitsubishi Bank LOC), 
               Ser. A, 3.9s, 8/1/15                           VMIG1      2,000,000 
   510,000     (Parkgate Towers) (Citibank LOC), 3-1/2s, 
               12/1/07                                        VMIG1        510,000 
 1,000,000     NY City, Indl. Dev. Agcy. VRDN (Bank of 
               New York LOC), 3.85s, 12/1/01                   A-1       1,000,000 
 2,000,000     NY State Dorm. Auth. VRDN (Miriam Osborn 
               Memorial Home) (Banque Paribas LOC), Ser. 
               A, 3.6s, 7/1/24                                VMIG1      2,000,000 
               NY State Energy Research & Dev. Auth. 
               Poll. VRDN 
 3,000,000     (Lilco Project) (Deutsche Bank LOC), Ser. 
               A, 4.7s, 3/1/16                                VMIG1      3,000,000 
 2,000,000     (Niagara Mohawk Power Project) (Toronto 
               Dominion LOC), Ser. A, 3.95s 7/1/15            A-1+       2,000,000 
 1,000,000     (Rochester Gas & Electric) (Bank of New 
               York LOC), Ser. A, 3.65s, 10/1/14               P-1       1,000,000 
 1,500,000     NY State Hsg. Fin. Agcy. VRDN (Normandie 
               Ct.) (Societe Generale LOC), 3.45s, 
               5/15/15                                        VMIG1      1,500,000 
               NY State Local Govt. Asst. Corp. VRDN 
 1,000,000     (Swiss Bank Corp., Credit Suisse LOC), 
               Ser. B, 3-1/2s, 4/1/23                          VMIG1      1,000,000 
 2,000,000     (Toronto Dominion Bank LOC), Ser. F, 
               3.55s, 4/1/25                                  VMIG1      2,000,000 
 1,000,000     NY State Medical Care Fac. Corp. VRDN 
               (Lenox Hill Hospital) (Chemical Bank 
               LOC), Ser. A, 3.45s, 11/1/08                   VMIG1      1,000,000 
 1,600,000     NY State Urban Dev. Corp. Rev. Bond 
               (Correctional Facilities), Ser. A, BIGI, 
               7-3/4s 1/1/12                                   AAA       1,637,316 

                                      10 

MUNICIPAL BONDS AND NOTES 
PRINCIPAL AMOUNT                                           RATINGS**          VALUE 
$2,000,000     North Hempstead, Solid Waste Mgmt. Auth. 
               VRDN (National Westminster Bank PLC LOC), 
               Ser. A, 3-1/2s, 2/1/12                          VMIG1     $ 2,000,000 
 2,000,000     Triborough Brdg. & Tunnel Auth. Special 
               Oblig. VRDN, Ser. A, FGIC, 3-1/2s, 1/1/24       VMIG1       2,000,000 
 ---------------------------------------------------------------------------------- 
               Total Municipal Bonds and Notes 
               (cost $28,785,163)***                                    $28,785,163 
 ---------------------------------------------------------------------------------- 
MUNICIPAL COMMERCIAL PAPER (27.4%)* 
PRINCIPAL AMOUNT                                           RATINGS**          VALUE 
 ---------------------------------------------------------------------------------- 
$1,100,000     NY City, GO MCP (Chemical Bank LOC), 
               3-3/4s, 1/31/96                                 VMIG1     $ 1,100,000 
 2,000,000     NY City, GO MCP (Chemical Bank LOC), 
               3.65s, 2/8/96                                  VMIG1       2,000,000 
 2,500,000     NY City, Water Finance MCP (Canadian 
               Imperial Bank of Commerce LOC), 3.55s, 
               1/25/96                                        A-1+        2,500,000 
 2,040,000     NY State Dorm Auth. MCP (Memorial 
               Sloan-Kettering Cancer Center) (Chemical 
               Bank LOC), 3.55s, 3/8/96                        P-1        2,040,000 
 3,000,000     NY State Env. Fac. MCP (General Electric 
               Project), 3.45s, 3/12/96                        P-1        3,000,000 
 ---------------------------------------------------------------------------------- 
               Total Municipal Commercial Paper 
               (cost $10,640,000)***                                    $10,640,000 
 ---------------------------------------------------------------------------------- 
               Total Investments (cost $39,425,163)***                  $39,425,163 
 ---------------------------------------------------------------------------------- 
</TABLE>

*   Percentages indicated are based on total net assets of $38,873,275.

**  The Moody's or Standard & Poor's ratings indicated are believed to be the
    most recent ratings available at November 30, 1995, for the securities
    listed. Ratings are generally ascribed to securities at the time of
    issuance. While the agencies may from time to time revise such ratings, they
    undertake no obligations to do so, and the ratings do not necessarily
    represent what the agencies would ascribe to these securities at November
    30, 1995. These ratings are not covered by the Report of Independent
    Accountants.

    Moody's Investors Service, Inc. and Standard & Poor's Corp. are the leading
    independent rating agencies for debt securities. "Moody's Investment Grade",
    or "MIG", for most short-term municipal obligations, adding a "V" ("VMIG")
    for bonds with a demand or variable feature; the designation "P" is used for
    tax exempt commercial paper. Standard & Poor's uses "SP" for notes maturing
    in three years or less, "A" for bonds with a demand or variable feature.

    Moody's Investor Service, Inc. 
    MIG1/VMIG1= Best quality; strong protection of cash flow, superior liquidity
    and broad access to refinancing 
    MIG2/VMIG2= High quality ; ample protection of cash flow, liquidity support 
    and ability to refinance 
    P-1= Superior capacity for repayment 
    P-2= Strong capacity for repayment 
    AAA= Capacity to pay interest and repay principal is extremely strong. 
    AA= Strong capacity to pay interest and repay principal and differs from the
    higher rated issues only in a small degree 

    Standard & Poor's Corp. 
    SP-1= Overwhelming safety characteristics 
    SP-2= Strong capacity to pay principal and interest 
    A-1+= Overwhelming degree of credit and protection 
    A-1= Strong degree of safety 
    A-2= Considered strong but lacks solid strength for timely repayment 

*** The aggregate identified cost on a tax basis is the same. 

                                      11 

<PAGE>
 
The rates shown on VRDNs, which are securities paying variable interest 
rates, are the current interest rates at November 30, 1995, which are subject 
to change based on the terms of the security. 

The fund had the following industry group concentrations greater than 10% on 
November 30, 1995 (as a percentage of net assets): 

Energy              23.2% 
Housing             20.7% 
Waste/Water         11.6% 
Transportation      10.5% 

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

                                      12 

<PAGE>
 
Statement of assets and liabilities 
November 30, 1995 

Assets 
 --------------------------------------------------------------------- 
Investments in securities at amortized cost (Note 1)      $39,425,163 
 --------------------------------------------------------------------- 
Cash                                                          723,098 
 --------------------------------------------------------------------- 
Interest and other receivables                                276,069 
 --------------------------------------------------------------------- 
Receivable for securities sold                                 55,000 
 --------------------------------------------------------------------- 
Receivable for shares of the fund sold                         65,041 
 --------------------------------------------------------------------- 
Total assets                                               40,544,371 
 --------------------------------------------------------------------- 
Liabilities 
 --------------------------------------------------------------------- 
Distributions payable to shareholders                     $    72,785 
 --------------------------------------------------------------------- 
Payable for shares of the fund repurchased                  1,532,342 
 --------------------------------------------------------------------- 
Payable for compensation of Manager (Note 2)                   49,206 
 --------------------------------------------------------------------- 
Payable for administrative services (Note 2)                      795 
 --------------------------------------------------------------------- 
Payable for compensation of Trustees (Note 2)                      50 
 --------------------------------------------------------------------- 
Other accrued expenses                                         15,918 
 --------------------------------------------------------------------- 
Total liabilities                                           1,671,096 
 --------------------------------------------------------------------- 
Net assets                                                $38,873,275 
 --------------------------------------------------------------------- 
Represented by 
 --------------------------------------------------------------------- 
Paid-in capital (Note 4)                                  $38,873,275 
 --------------------------------------------------------------------- 
Net asset value, offering and redemption price per 
share ($38,873,275 divided by 38,873,275 shares)                $1.00 
 --------------------------------------------------------------------- 

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

                                      13 

<PAGE>
 
Statement of operations 
For the year ended November 30, 1995 

Tax exempt interest income                            $1,719,428 
- ----------------------------------------------------------------
Expenses: 
- ----------------------------------------------------------------
Compensation of Manager (Note 2)                         199,969 
- ----------------------------------------------------------------
Investor servicing and custodian fees (Note 2)           106,956 
- ----------------------------------------------------------------
Compensation of Trustees (Note 2)                          5,680 
- ----------------------------------------------------------------
Administrative services (Note 2)                           4,801 
- ----------------------------------------------------------------
Reports to shareholders                                   24,001 
- ----------------------------------------------------------------
Registration fees                                          7,225 
- ----------------------------------------------------------------
Auditing                                                  27,655 
- ----------------------------------------------------------------
Legal                                                     18,618 
- ----------------------------------------------------------------
Other expenses                                            10,669 
- ----------------------------------------------------------------
Total expenses                                           405,574 
- ----------------------------------------------------------------
Expense reduction (Note 2)                              (101,272) 
- ----------------------------------------------------------------
Net expense                                              304,302 
- ----------------------------------------------------------------
Net investment income                                  1,415,126 
- ----------------------------------------------------------------
Net increase in net assets resulting from 
operations                                            $1,415,126 
- ----------------------------------------------------------------


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

                                      14 

<PAGE>
 
Statement of changes in net assets 
                                                       Year ended November 30 
                                                      --------------------------
                                                         1995           1994 
- --------------------------------------------------------------------------------
Decrease in net assets 
- --------------------------------------------------------------------------------
Operations: 
- --------------------------------------------------------------------------------
Net investment income                                $ 1,415,126    $   926,696 
- --------------------------------------------------------------------------------
Net increase in net assets resulting from 
operations                                             1,415,126        926,696 
- --------------------------------------------------------------------------------
Distributions to shareholders: 
- --------------------------------------------------------------------------------
 From net investment income                           (1,415,126)      (926,696)
- --------------------------------------------------------------------------------
 Decrease from capital share transactions (Note 4)    (5,941,726)    (5,657,947)
- --------------------------------------------------------------------------------
Total decrease in net assets                          (5,941,726)    (5,657,947)
- --------------------------------------------------------------------------------
Net assets 
- --------------------------------------------------------------------------------
Beginning of year                                     44,815,001     50,472,948 
- --------------------------------------------------------------------------------
End of year                                          $38,873,275    $44,815,001 
- --------------------------------------------------------------------------------

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

                                      15 

<PAGE>
 
Financial highlights 
(For a share outstanding throughout the year) 
<TABLE>
<CAPTION>
                                                 Year ended November 30 
                                   -------------------------------------------------- 
                                    1995      1994      1993       1992       1991 
                                    ------    ------    ------    -------   --------- 
<S>                               <C>       <C>       <C>        <C>        <C>
Net asset value, 
beginning of year                 $  1.00   $  1.00   $  1.00    $  1.00     $  1.00 
- -------------------------------------------------------------------------------------
Investment operations: 
- -------------------------------------------------------------------------------------
Net investment income               .0318     .0188     .0165      .0259(a)    .0399(a) 
- -------------------------------------------------------------------------------------
Net realized gain on 
investments                          --        --       .0001       --          -- 
- -------------------------------------------------------------------------------------
Total from investment 
operations                          .0318     .0188   $ .0166    $ .0259     $ .0399 
- -------------------------------------------------------------------------------------
Less distributions: 
- -------------------------------------------------------------------------------------
From net investment income         (.0318)   (.0188)   (.0165)    (.0259)     (.0399) 
- -------------------------------------------------------------------------------------
From net realized gain on 
investments                          --        --      (.0001)      --          -- 
- -------------------------------------------------------------------------------------
Total distributions                (.0318)   (.0188)   (.0166)    (.0259)     (.0399) 
- -------------------------------------------------------------------------------------
Net asset value, end of year      $  1.00   $  1.00   $  1.00    $  1.00     $  1.00 
- -------------------------------------------------------------------------------------
Total investment return at 
net asset value (%) (b)              3.23      1.90      1.67       2.62        4.07 
- -------------------------------------------------------------------------------------
Net assets 
end of year (in thousands)        $38,873   $44,815   $50,473    $57,705     $64,286 
- -------------------------------------------------------------------------------------
Ratio of expenses to average 
net assets (%) (c)                   0.91      0.77      0.91       0.78(a)     0.80(a) 
- -------------------------------------------------------------------------------------
Ratio of net investment income 
to average net assets (%)            3.18      1.86      1.69       2.59(a)     3.96(a) 
- -------------------------------------------------------------------------------------
</TABLE>

(a) Reflects an expense limitation. As a result of such limitations, expenses of
    the fund for the years ended November 30, 1992 and 1991 reflect reductions
    of $0.0024 and $0.0034 per share, respectively.

(b) Total investment return assumes dividend reinvestment.

(c) The ratio of expenses to average net assets for the year ended November 30,
    1995 includes amounts paid through expense offset arrangements. Prior year
    ratios exclude these amounts. (See Note 2).

                                      16 

<PAGE>
 
Notes to financial statements 
November 30, 1995 

Note 1 
Significant accounting policies 

The fund is registered under the Investment Company Act of 1940, as amended, 
as a nondiversified, open- end management investment company. The fund seeks 
as high a level of current income exempt from Federal, New York State and New 
York City personal income taxes as Putnam Investment Management believes is 
consistent with maintenance of liquidity and stability of principal. The fund 
invests primarily in a nondiversified portfolio of short-term New York tax 
exempt securities. 

The following is a summary of significant accounting policies consistently 
followed by the fund in the preparation of its financial statements. The 
policies are in conformity with generally accepted accounting principles. 

A) Security valuation The valuation of the fund's portfolio instruments is 
determined by means of the amortized cost method as set forth in Rule 2a-7 
under the Investment Company Act of 1940. The amortized cost of an instrument 
is determined by valuing it at cost originally and thereafter amortizing any 
discount or premium from its face value at a constant rate until maturity. 

B) Security transactions Security transactions are accounted for on the trade 
date (date the order to buy or sell is executed). 

C) Federal income taxes It is the policy of the fund to distribute all of its 
income within the prescribed time and otherwise comply with the provisions of 
the Internal Revenue Code applicable to regulated investment companies. It is 
also the intention of the fund to distribute an amount sufficient to avoid 
imposition of any excise tax under Section 4982 of the Internal Revenue Code 
of 1986, as amended. Therefore, no provision has been made for federal taxes 
on income or capital gains on securities held and excise tax on income and 
capital gains. 

At November 30, 1995 the fund has a capital loss carryover of approximately 
$6,605 which may be available to offset realized gains, if any. This amount 
will expire on November 30, 2002. 

D) Interest income and distributions to shareholders Interest is recorded on 
the accrual basis. Income dividends (and distributions of realized gains, if 
any) are recorded daily by the fund and are distributed monthly to the 
shareholders. The amount and character of income and gains to be distributed 
are determined in accordance with income tax regulations which may differ 
from generally accepted accounting principles. 

Note 2 
Management fee, administrative 
services, and other transactions 

Compensation of Putnam Investment Management, Inc., the fund's Manager, a 
wholly-owned subsidiary of Putnam Investments, Inc., for management and 
investment advisory services is paid quarterly at an annual rate of 0.45% of 
the first $500 million of average net assets, 0.35% of the next $500 million, 
0.30% of the next $500 million and 0.25% of any amount over $1.5 billion, 
subject to reduction in any year by the amount of certain brokerage 
commissions and fees (less expenses) received by affiliates of the Manager on 
the fund's portfolio transactions. 

                                      17 

<PAGE>
 
The fund reimburses Putnam Management for the compensation and related 
expenses of certain officers of the fund and their staff who provide 
administrative services to the fund. The aggregate amount of all such 
reimbursements is determined annually by the Trustees. 

Trustees of the fund receive an annual Trustees fee of $390 and an additional 
fee for each Trustee's meeting attended. Trustees who are not interested 
persons of Putnam Management and who serve on committees of the Trustees 
receive additional fees for attendance at certain committee meetings. 

During the year ended November 30, 1995, the fund adopted a Trustee Fee 
Deferral Plan (the "Plan") which allows the Trustees to defer the receipt of 
all or a portion of Trustees Fees payable on or after July 1, 1995. The 
deferred fees remain in the fund and are invested in the fund or in other 
Putnam funds until distribution in accordance with the Plan. 

Custodial functions for the fund are provided by Putnam Fiduciary Trust 
Company (PFTC), a subsidiary of Putnam Investments, Inc. Investor servicing 
agent functions are provided by Putnam Investor Services, a division of PFTC. 

For the year ended November 30, 1995, fund expenses were reduced by $101,272 
under expense offset arrangements with PFTC. Investor servicing and custodian 
fees reported in the Statement of operations exclude these credits. The fund 
could have invested the assets utilized in connection with the expense offset 
arrangements in an income producing asset if it had not entered into such 
arrangements. 

Note 3 
Purchases and sales of securities 

During the year ended November 30, 1995, purchases and sales (including 
maturities) of investment securities (all short-term obligations) aggregated 
$277,852,848 and $285,400,000 respectively. In determining the net gain or 
loss on securities sold, the cost of securities has been determined on the 
identified cost basis. 

Note 4 
Capital shares 

At November 30, 1995, there was an unlimited number of shares of beneficial 
interest authorized. Transactions in capital shares, at a constant net asset 
value of $1.00 per share, were as follows: 

                                          Year ended November 30 
- ------------------------------------------------------------------- 
                                          1995             1994 
- ------------------------------------------------------------------- 
Shares sold                            186,252,463      286,251,626 
- ------------------------------------------------------------------- 
Shares issued in connection with 
reinvestment of distributions            1,305,570          862,975 
- ------------------------------------------------------------------- 
                                       187,558,033      287,114,601 
- ------------------------------------------------------------------- 
Shares repurchased                    (193,499,759)    (292,772,548) 
- ------------------------------------------------------------------- 
Net decrease                            (5,941,726)      (5,657,947) 
- ------------------------------------------------------------------- 

                                      18 

<PAGE>
 
Fund information 

INVESTMENT MANAGER 
Putnam Investment 
Management, Inc. 
One Post Office Square 
Boston, MA 02109 

MARKETING SERVICES 
Putnam Mutual Funds Corp. 
One Post Office Square 
Boston, MA 02109 

CUSTODIAN 
Putnam Fiduciary Trust Company 

LEGAL COUNSEL 
Ropes & Gray 

INDEPENDENT 
ACCOUNTANTS 
Coopers & Lybrand L.L.P. 

TRUSTEES 
George Putnam, Chairman 
William F. Pounds, Vice Chairman 
Jameson Adkins Baxter 
Hans H. Estin 
John A. Hill 
Elizabeth T. Kennan 
Lawrence J. Lasser 
Robert E. Patterson 
Donald S. Perkins 
George Putnam, III 
Eli Shapiro 
A.J.C. Smith 
W. Nicholas Thorndike 

OFFICERS 
George Putnam 
President 
Charles E. Porter 
Executive Vice President 
Patricia C. Flaherty 
Senior Vice President 
Lawrence J. Lasser 
Vice President 
Gordon H. Silver 
Vice President 
Gary N. Coburn 
Vice President 
James E. Erickson 
Vice President 
William F. McGue 
Vice President 
Blake E. Anderson 
Vice President 
Lindsey C. Strong 
Vice President and Fund Manager 
William N. Shiebler 
Vice President 
John R. Verani 
Vice President 
Paul M. O'Neil 
Vice President 
John D. Hughes 
Senior Vice President and Treasurer 
Beverly Marcus 
Clerk and Assistant Treasurer 

This report is for the information of shareholders of Putnam New York Tax 
Exempt Money Market Fund. It may also be used as sales literature when 
preceded or accompanied by the current prospectus, which gives details of 
sales charges, investment objectives, and operating policies of the fund, and 
the most recent copy of Putnam's Quarterly Performance Summary. For more 
information or to request a prospectus, call toll-free: 1-800-225-1581 

Shares of mutual funds are not deposits or obligations of, or guaranteed or 
endorsed by, any financial institution, are not insured by the Federal 
Deposit Insurance Corporation (FDIC), the Federal Reserve Board or any other 
agency, and involve risk, including the possible loss of the principal amount 
invested. 

                                      19 

<PAGE>
 
[GRAPHIC] PUTNAM INVESTMENTS 

The Putnam Funds 
One Post Office Square 
Boston, Massachusetts 02109 

22201-063   1/96 

Bulk Rate 
U.S. Postage 
PAID 
Putnam 
Investments 

                                      




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