PUTNAM INVESTMENT GRADE MUNICIPAL TRUST III
N-30D, 1996-06-28
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Putnam
Investment
Grade
Municipal
Trust III

SEMIANNUAL REPORT

April 30, 1996

[LOGO: BOSTON * LONDON * TOKYO]

Fund Highlights

* "As the municipal environment changed during the last six months, we 
focused on maximizing the fund's income potential by taking advantage of 
opportunities within flourishing state economies and maintaining fund 
holdings that have proved to be valuable."

                                     -- Michael F. Bouscaren, manager
                          Putnam Investment Grade Municipal Trust III

* "[G]iven that 1996 is an election year, the popularity of tax 
deductions and complexity of implementing any substantial changes to the 
tax codes help make the outlook for the muni market optimistic."
 
                 -- The Value Line Mutual Fund Survey, March 19, 1996

     CONTENTS
 4     Report from Putnam Management
 8     Fund performance summary
11     Portfolio holdings
15     Financial statements



[GRAPHIC OMITTED: photo of George Putnam]

(copyright) Karsh, Ottawa

From the Chairman

Dear Shareholder:

The tax-exempt bond market provided quite a ride for shareholders of 
Putnam Investment Grade Municipal Trust III during the six months ended 
April 30, 1996. While the rest of the bond market was well into one of 
the strongest advances in recent memory, tax-exempt investors were 
haunted by prospects of a flat tax they feared would end the tax 
advantage enjoyed by tax-exempt securities. 

Once raised, flat-tax worries provided a negative undercurrent 
throughout much of the semiannual period. It subsided just in time to 
temper the decline in tax-exempt securities when the bond market 
suddenly plunged in March.

As Fund Manager Michael Bouscaren explains in the report that follows, 
he believes the continuing demand for tax-free investments, coupled with 
a relatively subdued pace in new issuance, bodes well for your fund in 
the fiscal year's second half.

Respectfully yours,

/S/George Putnam George Putnam

George Putnam

Chairman of the Trustees

June 19, 1996


Report from the Fund Manager
Michael F. Bouscaren

As Putnam Investment Grade Municipal Trust III began fiscal 1996, 
slowing economic growth, low interest rates, and low inflation had 
created an appealing environment for fixed-income investments. However, 
by the fiscal year's midpoint on April 30, 1996, the bond market was 
dancing to a different beat. Stronger-than-expected employment growth 
had fueled fears of inflation, signaling a possible end to the Federal 
Reserve Board's program of lowering short-term interest rates and 
bringing the 10-month bond market rally to an abrupt halt.

Your fund was poised to adapt to this changing economic environment. 
Although sector weightings and core holdings remained essentially 
unchanged throughout the period, we maximized the fund's potential by 
exploring opportunities nationwide, purchasing bonds in states where 
economic activity was accelerating and maintaining those holdings that 
continued to provide combinations of attractive income and possible 
appreciation. 

* DURATION ADJUSTMENTS HELP FUND RESPOND TO CHANGING CONDITIONS


Adjusting duration in response to interest rate trends is an important 
component of the fund's strategy. Duration is a measure of the 
portfolio's maturity structure and reflects the price sensitivity of 
portfolio holdings to changes in interest rates. Typically bonds with 
longer maturities are more sensitive to these changes and as a result, 
may offer greater potential for appreciation when rates are declining. 
Since the direction of interest rates was uncertain, we reviewed the 
portfolio duration in expectations of a rising rate environment. 

At the beginning of the semiannual period, the portfolio's duration was 
a relatively long 10 years. It seemed prudent to us to reduce this to 7 
1 / 2 years, and we were able to accomplish the shift by the end of the 
period. The move proved timely; it softened the impact of the market 
decline as bond prices readjusted to the prospect of a stronger economy. 

More recently we've seen indications that this may not, in fact, be the 
case; the employment and inflation data that sparked the market downturn 
appear to be short-term anomalies rather than true forecasts of a change 
in direction. However, whether or not the Fed makes a change in its rate 
policy, our decision to acquire additional short- to intermediate-term 
municipal bonds will bolster the fund's level of call protection -- 
another important consideration in a volatile rate environment. 

We are considering selling additional New York, New Jersey, and 
Pennsylvania bonds and securing a greater position within Texas and 
California. The California and Texas economies are currently growing 
faster than the national average, the result of flourishing new 
businesses, rising employment rates, and accelerating residential 
construction. When a state economy is strengthening, investor 
perceptions of its bonds improve, the risk of any interruption in 
interest payments lessens, and demand for the bonds may well increase. 
This sequence of events, in turn, can lead to higher prices for the 
bonds. 

Bonds issued to support the new Denver International Airport remain the 
largest portfolio position because of their favorable income and credit 
features. Although many municipal issuers are prohibited by current tax 
law from refunding outstanding bonds with lower-cost debt, issuers do 
have the ability to make tender offers, giving bondholders the 
opportunity to sell securities back to them at an agreed-upon price. 
Issuers generally must pay bondholders above market prices to persuade 
them to tender their higher-coupon securities. Although there was an 
opportunity to tender higher-coupon Denver airport bonds in March, we 
did not offer the bonds for sale, since we perceived the tender prices 
to be unattractive.

[GRAPHIC OF PIE CHART OMITTED: PORTFOLIO QUALITY OVERVIEW*]
information in chart reads:
A          - 13.1%
AA         -  4.8%
AAA        - 42.5%
BBB        - 22.1%
VMIGI/A-1+ - 17.5%

*As a percentage of portfolio market value as of 4/30/96.  A bond rated 
BBB or higher is considered investment grade.  All ratings reflect 
Standard & Poor's(registered trademark) and Moody's Investor Services 
descriptions, unless noted otherwise. Holdings will vary over time.



Some of your fund's income is generated by the selective use of 
leveraging strategies. With this approach, the fund issues preferred 
shares that pay dividends at prevailing short-term rates. These shares 
are sold to corporate and institutional investors; the resulting assets 
are then invested in longer-term bonds with higher yields. The 
difference between the rates paid to holders of preferred shares and the 
rates earned by the fund augments the flow of income to holders of 
common shares. Since the yield curve steepened during the year, 
resulting in a profitable spread between short- and long-term yields, 
the fund's leveraging strategies proved to be beneficial. 

* FADING FLAT-TAX FEARS HELP IMPROVE INVESTOR PERSPECTIVES

During the past several months, investors had been sensitive to the 
potential effects of the flat-tax proposal being considered by Congress. 
In its purest form, the flat tax would deprive municipal bonds of their 
advantage as tax-exempt investments. Although such discussions have 
influenced the municipal market for more than a year now, investor 
concerns and fears have recently subsided, since the flat tax did not 
appear to be a near-term event after all. 

Although we expect discussions of broader tax reform to reappear this 
fall as the presidential election nears, our current assessment is that 
any radical changes to the tax code now appear less likely than they did 
a few months ago. As a result, investors may begin to rediscover the 
tax-advantaged opportunities they have overlooked for months. Any 
increase in investor demand is likely to have a beneficial effect on 
municipal bond valuations. 

* OUTLOOK REMAINS CAUTIOUS BUT CONSTRUCTIVE

We believe the remainder of calendar 1996 will include steady and 
manageable economic growth as well as exposure to some inflationary 
risk. Such an environment, in contrast with last year's slowing economy, 
is unlikely to lead to falling interest rates and price appreciation for 
the bond market. 

[GRAPHIC OF HORIZONTAL BAR CHART OMITTED: TOP INDUSTRY SECTORS*]
Information in chart reads:

Airport/transportation   - 17.8%

Health/hospitals         - 17.7%

Municipal utilities      - 15.2%

Water and sewerage       - 13.4%

Pollution control        -  8.3%

*Based on net assets as of 4/30/96. Holdings will vary over time.


A climate of steadier economic growth clearly requires a more cautious 
approach to fixed-income investing. Greater emphasis will be placed on 
coupon income, stressing the importance of astute credit analysis. These 
developments, along with the recent market correction, may offer 
investors who have been skeptical of municipals an attractive 
opportunity to retest the waters. Furthermore, municipal yields remain 
generous on a taxable equivalent basis, providing an attractive 
alternative to Treasuries and investment-grade corporate bonds. 

The views expressed here are exclusively those of Putnam Management. 
They are not meant as investment advice.  Although the described 
holdings were viewed favorably as of 4/30/96, there is no guarantee the 
fund will continue to hold these securities in the future. 



Performance summary

Performance should always be considered in light of a fund's investment 
strategy. Putnam Investment Grade Municipal Trust III is designed for 
investors seeking high current income free from federal income tax, 
consistent with preservation of capital.

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 4/30/96
(common shares)
                                     Market
                              NAV     price
- ----------------------------------------------------------------------
6 months                    0.89%     1.22%
- ----------------------------------------------------------------------
1 year                      6.83     13.07
- ----------------------------------------------------------------------
Life (11/29/93)             7.91     -9.11
Annual average              3.19     -3.87
- ----------------------------------------------------------------------
COMPARATIVE INDEX RETURNS FOR PERIODS ENDED 4/30/96
                        Lehman Bros.
                         Municipal    Consumer 
                         Bond Index  Price Index 
- ----------------------------------------------------------------------
6 months                    1.11%     1.30%
- ----------------------------------------------------------------------
1 year                      7.95      2.50
- ----------------------------------------------------------------------
Life (11/29/93)             9.95      6.79
Annual average              4.01      2.75
- ----------------------------------------------------------------------

TOTAL RETURN FOR PERIODS ENDED 3/31/96 
(most recent calendar quarter)
                                     Market
                            NAV      price
- ----------------------------------------------------------------------
6 months                    2.90%     3.38%
- ----------------------------------------------------------------------
1 year                      7.43      9.35
- ----------------------------------------------------------------------
Life (11/29/93)             8.29     -8.66
Annual average              3.46     -3.80
- ----------------------------------------------------------------------

Performance data represent past results, do not reflect future 
performance. They do not take into account any adjustment for taxes 
payable on reinvested distributions. Investment returns and net asset 
value will fluctuate so that an investor's shares, when sold, may be 
worth more or less than their original cost.

PRICE AND DISTRIBUTION INFORMATION 
6 months ended 4/30/96
Distributions (common shares)          
- -----------------------------------------------------------------------
Number                                   6
- -----------------------------------------------------------------------
Income                                $0.4002
- -----------------------------------------------------------------------
  Total                               $0.4002
- -----------------------------------------------------------------------
Preferred shares               Series A (200 shares)
- -----------------------------------------------------------------------
Income                                $865.88
- -----------------------------------------------------------------------
  Total                               $865.88
- -----------------------------------------------------------------------
Share value (common shares)       NAV     Market price
- -----------------------------------------------------------------------
10/31/95                         $13.22      $11.875     
- -----------------------------------------------------------------------
4/30/96                           12.90       11.625
- -----------------------------------------------------------------------
Current return                    NAV     Market price
- -----------------------------------------------------------------------
End of period
Current dividend rate1             6.20%        6.89%
- -----------------------------------------------------------------------
Taxable equivalent2               10.27        11.40
- -----------------------------------------------------------------------

1Income portion of most recent distribution, annualized and divided by 
NAV or market price at end of period. 2Assumes maximum 39.6% federal tax 
rate. 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, the liquidation preference and cumulative undeclared 
dividends accrued on the remarketed preferred shares, divided by the 
number of outstanding common shares.
Market price is the current trading price of one share of the fund. 
Market prices are set by transactions between buyers and sellers on the 
American Stock Exchange.

COMPARATIVE BENCHMARKS

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

Lehman Brothers Municipal Bond Index is an unmanaged list of long-term 
fixed-rate investment-grade tax-exempt bonds representative of the 
municipal bond market. The index does not take into account brokerage 
commissions or other costs, may include bonds different from those in 
the fund, and may pose different risks than the fund. The index assumes 
reinvestment of all distributions and interest payments and does not 
take into account brokerage fees or taxes. Securities in the fund do not 
match those in the index and performance of the fund will differ. It is 
not possible to invest directly in an index.



<TABLE>
<CAPTION>

Portfolio of investments owned
April 30, 1996 (Unaudited)

Key to Abbreviations
AMBAC      AMBAC Indemnity Corporation
FGIC       Financial Guaranty Insurance Company
FSA        Financial Security Assurance
G.O. Bond  General Obligation Bonds
IF COP     Inverse Floater Certificate of Participation
IFB        Inverse Floating Rate Bonds
LOC        Letter of Credit
MBIA       Municipal Bond Investors Assurance Corporation
VRDN       Variable Rate Demand Notes

Municipal Bonds and Notes  (103.8%) *
PRINCIPAL AMOUNT                                                                  RATING**            VALUE

<S>            <C>          <C>                                                  <C>            <C>
California  (20.9%)
- -----------------------------------------------------------------------------------------------------------
                $2,500,000  Beverly Hills Pub. Fin. Auth. Lease Rev. Bonds,
                            Ser. A, MBIA, 5.65s, 6/1/15                          AAA             $2,415,625
                 1,600,000  CA Poll. Control Fin. Auth. VRDN (Shell Oil Co.
                            Project B), 3.5s, 10/1/11                            VMIG1            1,600,000
                            CA State G.O. Bonds
                 1,000,000  6 1/4s, 9/1/2008                                     A                1,078,750
                 2,140,000  5.1s, 10/1/08                                        A                2,070,450
                 1,250,000  CA State U. IFB, AMBAC, 9.86s, 11/1/21
                            (acquired 6/6/95, cost $1,339,094) ++                AAA              1,437,500
                 1,500,000  Foothill/Eastern Trans. Corridor Agcy. Rev. Bonds,
                            Ser. A, zero %, 1/1/08                               BBB                886,875
                 1,590,000  Los Angeles Cnty., Metro. Trans. Auth.
                            Sales Tax Rev. Bonds, Ser. A, FGIC, 5s, 7/1/21       AAA              1,377,338
                 1,000,000  Los Angeles Regl. Arpt. Impt. Corp. VRDN,
                            4.05s, 12/1/25 (Societe Generale (LOC))              A-1+             1,000,000
                 1,000,000  San Diego Cnty., Wtr. Auth. IF COP, FGIC,
                            7.33179s, 4/23/08                                    AAA              1,043,750
                                                                                             --------------
                                                                                                 12,910,288
Colorado  (10.4%)
- -----------------------------------------------------------------------------------------------------------
                            Denver, City & Cnty. Arpt. Rev. Bonds
                 3,000,000  Ser. A, 8 3/4s, 11/15/23                             BBB              3,543,750
                 1,500,000  Ser. A, 8 1/2s, 11/15/23                             BBB              1,723,125
                 1,000,000  Ser. D, 7 3/4s, 11/15/13                             BBB              1,158,750
                                                                                             --------------
                                                                                                  6,425,625
Delaware  (0.7%)
- -----------------------------------------------------------------------------------------------------------
                   400,000  Wilmington Hosp. VRDN (Franciscan Hlth. Syst.),
                            Ser. A, 4.05s, 7/1/11 (Societe Generale (LOC))       VMIG1              400,000
Florida  (1.8%)
- -----------------------------------------------------------------------------------------------------------
                 1,000,000  Broward Cnty. Res. Recvy. Rev. Bonds (SES Broward
                            Cnty. LP South Project), 7.95s, 12/1/08              A                1,102,500
Illinois  (3.5%)
- -----------------------------------------------------------------------------------------------------------
                $1,895,000  IL Hlth. Facs. Auth. Rev. Bonds (Glenoaks Med. Ctr.),
                            Ser. D, 9 1/2s, 11/15/15                             BBB             $2,172,144

Indiana  (3.5%)
- -----------------------------------------------------------------------------------------------------------
                 2,000,000  Marion Cnty., Ind. Convention & Recreational Facs.
                            Auth. Rev. Bonds (Excise Tax Rev. Lease Rental),
                            Ser. A, AMBAC, 7s, 6/1/21                            AAA              2,165,000
Kansas  (4.2%)
- -----------------------------------------------------------------------------------------------------------
                 2,400,000  Burlington Poll. Control Rev. Bonds (Kansas Gas &
                            Electric Co. Project), MBIA, 7s, 6/1/31              AAA              2,616,000

Louisiana  (4.1%)
- -----------------------------------------------------------------------------------------------------------
                 1,420,000  Beauregard Parish Rev. Bonds (Boise Cascade
                            Corp. Project), 7 3/4s, 6/1/21                       Baa              1,519,400
                 1,000,000  LA State Recvy. Dist. Sales Tax, VRDN, 4.05s,
                            7/1/98                                               VMIG1            1,000,000
                                                                                             --------------
                                                                                                  2,519,400

Massachusetts  (5.8%)
- -----------------------------------------------------------------------------------------------------------
                 1,400,000  MA State VRDN, Ser. B, 3.9s, 12/1/97
                            (National Westminster PLC (LOC))                     VMIG1            1,400,000
                   750,000  MA State Hlth. & Edl. Fac. Auth. IFB (Med. Ctr.
                            of Central MA), Ser. B, AMBAC, 8.82s, 6/23/22        AAA                827,813
                   830,000  MA State Port Auth. Rev. Bonds, 13s, 7/1/13          AAA              1,338,374
                                                                                             --------------
                                                                                                  3,566,187
Michigan  (1.9%)
- -----------------------------------------------------------------------------------------------------------
                 1,200,000  Grand Rapids Wtr. Supply Syst, VRDN,
                            FGIC, 4.1s, 1/1/20                                   VMIG1            1,200,000
Minnesota  (6.7%)
- -----------------------------------------------------------------------------------------------------------
                   925,000  SCA Multi-Fam. Mtge. Rev. Bonds (Nicollet Ridge
                            Project), Ser. A-9, FSA, 7.1s, 1/1/30                AAA                996,687
                 1,000,000  St. Paul, Hsg. & Redev. Auth. Hosp. Rev. Bonds
                            (Healtheast Project), Ser. B, 9 3/4s, 11/1/17        BBB              1,071,250
                 2,000,000  Western MN Muni. Pwr. Agcy. Supply Rev. Bonds,
                            Ser. A, 7s, 1/1/13                                   A                2,065,940
                                                                                             --------------
                                                                                                  4,133,877
New York  (12.7%)
- -----------------------------------------------------------------------------------------------------------
                $2,000,000  NY City, G.O. Bonds, Ser. E, 6 1/2s, 2/15/05         BBB             $2,087,500
                 2,000,000  NY City, Muni. Wtr. Fin. Auth. Wtr. & Swr. Syst.
                            Rev. Bonds, Ser. C, 7 3/4s, 6/15/20                  AAA              2,307,500
                 1,000,000  NY State Energy Research & Dev. Auth. Elec.
                            Facs. Rev. Bonds (Cons. Edison Co. Project),
                            Ser. A, 7 3/4s, 1/1/24                               A                1,055,000
                 2,400,000  NY State Energy Research &
                            Dev. Auth. Poll. Control VRDN (NY State
                            Elec. & Gas Co.), Ser. C, 3.8s, 6/1/29
                            (Morgan Guaranty Trust (LOC))                        VMIG1            2,400,000
                                                                                             --------------
                                                                                                  7,850,000
North Carolina  (1.6%)
- -----------------------------------------------------------------------------------------------------------
                 1,000,000  NC Muni. Pwr. Agcy. Rev. Bonds, MBIA, 5 1/4s, 1/1/07 AAA              1,005,000

Oklahoma  (3.4%)
- -----------------------------------------------------------------------------------------------------------
                            Grand River Dam Oklahoma Auth. Rev. Bonds
                   515,000  AMBAC, 6 1/4s, 6/1/11 #                              AAA                555,556
                   500,000  AMBAC, 5 1/2s, 6/1/13                                AAA                493,750
                 1,000,000  Muskogee Indl. Tr. Poll. Control Rev. Bonds
                            (Oklahoma Gas & Elec. Co. Project),
                            Ser. A, 7s, 3/1/17                                   AA               1,033,050
                                                                                             --------------
                                                                                                  2,082,356
Pennsylvania  (3.6%)
- -----------------------------------------------------------------------------------------------------------
                 2,200,000  Delaware Cnty., Indl. Dev. Auth. Arpt. Fac. VRDN
                            (UTD Parcel Svc. Project), 3.95s, 12/1/15            VMIG1            2,200,000

Puerto Rico  (0.8%)
- -----------------------------------------------------------------------------------------------------------
                   500,000  Puerto Rico Elec. Pwr. Auth. Pwr. IFB,
                            FSA, 8.3476s, 7/1/23                                 AAA                503,750

Tennessee  (4.4%)
- -----------------------------------------------------------------------------------------------------------
                 2,700,000  Metro. Govt Nashville & Davidson Cnty. Tenn. Wtr.
                            & Swr. IFB, AMBAC, 8.371s, 1/1/22                    AAA              2,733,750

Texas  (13.8%)
- -----------------------------------------------------------------------------------------------------------
                 2,400,000  Bexar Cnty., Hlth. Fac. Dev. Corp. Rev. Bonds
                            (St. Luke's Lutheran Hosp. Project), 7.9s, 5/1/18    AAA/P            2,814,000
                 2,430,000  Dallas Waterworks & Swr. Rev. Bonds,
                            4 1/2s, 4/1/15                                       AA               2,032,088
                 2,500,000  North Central TX Hlth. Fac. Dev. Corp.
                            Rev. Bonds (Presbyterian Hlth. Sys.),
                            MBIA, 6.685s, 6/22/21                                AAA              2,618,750
                 1,000,000  Texarkana Hlth. Fac. Rev. Bonds
                            (Wadley Med. Ctr. Project) 8 1/2s, 10/1/12           A                1,043,750
                                                                                             --------------
                                                                                                  8,508,588
                                                                                             --------------
                            Total Investments (cost $63,644,696)***                             $64,094,465
- -----------------------------------------------------------------------------------------------------------
*  Percentages indicated are based on net assets of $61,719,986. Net assets available to common shareholders are  
   $51,697,932. 
** The Moody's or Standard & Poor's ratings indicated are believed to be the most recent ratings available at April 30,
   1996 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 obligation to do so, and the ratings do not 
   necessarily represent what the agencies would ascribe to these securities at April 30, 1996. Securities rated by 
   Putnam are indicated by "/P" and are not publicly rated. The table below shows the percentage of the fund's 
   investments on April 30, 1996 in securities assigned to various rating categories by Moody's or Standard & Poor's 
   and in unrated securities determined by Putnam Management to be of comparable quality. 

                                              Unrated securities 
                       Rated securities      of comparable quality,
                      as a percentage of      as a percentage of
      Rating           fund's net assets      fund's net assets
- ---------------------------------------------------------------
      AAA/Aaa               39.6%                   4.6%
      AA/Aa                  5.0                     --
      A/A                   13.6                     --
      BBB/Baa               22.9                     --
      BB/Ba                   --                     --
      VMIG1/A-1+            18.1                     --
- ---------------------------------------------------------------
                            99.2%                    4.6%
- ---------------------------------------------------------------
*** The aggregate identified cost on a tax basis is $63,644,696, resulting in gross unrealized 
    appreciation and depreciation of $1,059,997 and $610,228, respectively, or net unrealized 
    appreciation of $449,769. 
++  Restricted, excluding 144A securities, as to public resale. The total market value of restricted 
    securities held at April 30, 1996 was $1,437,500 or 2.3% of net assets. 
#   A portion of this security was pledged to cover margin requirements for futures contracts at 
    April 30, 1996. The market value of segregated securities with the custodian for transactions 
    in futures contracts outstanding is $53,938 or less than 0.1% of net assets. 

    The rates shown on IFBs and IF COP, which are securities paying interest rates that vary inversely 
    to changes in the market interest rates,  and VRDNs are the current interest rates at April 30, 1996. 

    The fund had the following insurance group concentrations greater than 10% on April 30, 1996 (as a 
    percentage of net assets): 
      
      MBIA                           14.0% 
      AMBAC                          13.3 

    The fund had the following industry group concentrations greater than 10% on April 30, 1996 (as a 
    percentage of net assets): 
      Airport- Transportation        17.8% 
      Hospitals/Health Care          17.7 
      Utilities                      15.2 
      Water & Sewerage               13.4 
- -------------------------------------------------------------------------------
Futures Contracts Outstanding at April 30, 1996
(aggregate face value $3,299,063)

                               Aggregate 
                      Total       Face      Expiration      Unrealized
                      Value       Value        Date        Appreciation
- -------------------------------------------------------------------------------
U.S. Treasury 
Bond Futures 
(Sell)           $3,274,688  $3,299,063       Jun 96          $24,375 
- -------------------------------------------------------------------------------

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

</TABLE>


<TABLE>
<CAPTION>

Statement of assets and liabilities
April 30, 1996 (Unaudited)

<S>                                                                             <C>
Assets
- ----------------------------------------------------------------------------------------------
Investments in securities, at value
(identified cost $63,644,696) (Note 1)                                             $64,094,465
- ----------------------------------------------------------------------------------------------
Cash                                                                                    20,643
- ----------------------------------------------------------------------------------------------
Interest receivable                                                                  1,217,091
- ----------------------------------------------------------------------------------------------
Receivable for variation margin                                                         20,625
- ----------------------------------------------------------------------------------------------
Unamortized organization expenses (Note 1)                                              13,795
- ----------------------------------------------------------------------------------------------
Total assets                                                                        65,366,619

Liabilities
- ----------------------------------------------------------------------------------------------
Distributions payable to shareholders                                                  296,564
- ----------------------------------------------------------------------------------------------
Payable for securities purchased                                                     3,245,096
- ----------------------------------------------------------------------------------------------
Payable for compensation of Manager (Note 2)                                           104,295
- ----------------------------------------------------------------------------------------------
Payable for compensation of Trustees (Note 2)                                               82
- ----------------------------------------------------------------------------------------------
Payable for administrative services (Note 2)                                               419
- ----------------------------------------------------------------------------------------------
Other accrued expenses                                                                     177
- ----------------------------------------------------------------------------------------------
Total liabilities                                                                    3,646,633
- ----------------------------------------------------------------------------------------------
Net assets                                                                         $61,719,986

Represented by
- ----------------------------------------------------------------------------------------------
Remarketed preferred shares (200 shares issued and
outstanding at $50,000 per share liquidation preference) (Note 4)                  $10,000,000
- ----------------------------------------------------------------------------------------------
Paid in capital-common shares (Note 1)                                              55,817,217
- ----------------------------------------------------------------------------------------------
Undistributed net investment income (Note 1)                                           387,646
- ----------------------------------------------------------------------------------------------
Accumulated net realized loss on investments (Note 1)                               (4,959,021)
- ----------------------------------------------------------------------------------------------
Net unrealized appreciation of investments                                             474,144
- ----------------------------------------------------------------------------------------------
Net assets                                                                         $61,719,986

Net assets available to:
- ----------------------------------------------------------------------------------------------
Remarketed preferred shares at liquidation preference                              $10,000,000
- ----------------------------------------------------------------------------------------------
Cumulative undeclared dividends on remarketed preferred shares                          22,054
- ----------------------------------------------------------------------------------------------
Net assets allocated to remarketed preferred shares                                $10,022,054
- ----------------------------------------------------------------------------------------------
Net assets available to common shares                                              $51,697,932
- ----------------------------------------------------------------------------------------------
Net asset value per common share ($51,697,932 divided 4,007,092 shares)                 $12.90
- ----------------------------------------------------------------------------------------------

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

</TABLE>



<TABLE>
<CAPTION>

Statement of operations
Six months ended April 30, 1996 (Unaudited)

<S>                                                                               <C>
Tax exempt interest income                                                          $1,926,870
- ----------------------------------------------------------------------------------------------
Expenses:
- ----------------------------------------------------------------------------------------------
Compensation of Manager (Note 2)                                                       218,691
- ----------------------------------------------------------------------------------------------
Investor servicing and custodian fees (Note 2)                                          33,670
- ----------------------------------------------------------------------------------------------
Compensation of Trustees (Note 2)                                                        3,810
- ----------------------------------------------------------------------------------------------
Administrative services (Note 2)                                                         2,307
- ----------------------------------------------------------------------------------------------
Amortization of organization expenses (Note 1)                                           2,499
- ----------------------------------------------------------------------------------------------
Reports to shareholders                                                                 10,847
- ----------------------------------------------------------------------------------------------
Auditing                                                                                28,820
- ----------------------------------------------------------------------------------------------
Legal                                                                                    1,298
- ----------------------------------------------------------------------------------------------
Postage                                                                                  4,232
- ----------------------------------------------------------------------------------------------
Exchange listing fees                                                                    1,430
- ----------------------------------------------------------------------------------------------
Preferred stock auction fees                                                             9,634
- ----------------------------------------------------------------------------------------------
Other                                                                                    1,889
- ----------------------------------------------------------------------------------------------
Total expenses                                                                         319,127
- ----------------------------------------------------------------------------------------------
Expense reduction (Note 2)                                                             (21,311)
- ----------------------------------------------------------------------------------------------
Net expenses                                                                           297,816
- ----------------------------------------------------------------------------------------------
Net investment income                                                                1,629,054
- ----------------------------------------------------------------------------------------------
Net realized loss on investments (Notes 1 and 3)                                      (295,995)
- ----------------------------------------------------------------------------------------------
Net realized gain on futures contracts (Notes 1 and 3)                                   9,708
- ----------------------------------------------------------------------------------------------
Net unrealized depreciation of investments and futures contracts during the           (830,806)
- ----------------------------------------------------------------------------------------------
Net loss on investments                                                             (1,117,093)
- ----------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                                  $511,961
- ----------------------------------------------------------------------------------------------

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

</TABLE>



<TABLE>
<CAPTION>

Statement of changes in net assets

                                                            Six months ended          Year ended
                                                                    April 30         November 30
                                                                       1996*                1995
- ------------------------------------------------------------------------------------------------
<S>                                                              <C>                <C>
Increase (decrease) in net assets
- ------------------------------------------------------------------------------------------------
Operations:
- ------------------------------------------------------------------------------------------------
Net investment income                                            $1,629,054           $3,606,020
- ------------------------------------------------------------------------------------------------
Net realized loss on investment transactions                       (286,287)          (2,666,613)
- ------------------------------------------------------------------------------------------------
Net unrealized appreciation (depreciation) of
  investment transactions                                          (830,806)           6,087,229
- ------------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                511,961            7,026,636
- ------------------------------------------------------------------------------------------------
Distributions to remarketed preferred shareholders:
- ------------------------------------------------------------------------------------------------
From net investment income                                         (173,176)            (362,203)
- ------------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations
applicable to common shareholders (excluding
cumulative undeclared dividends on remarketed
preferred shares of $22,054 and $12,493, respectively)              338,785            6,664,433
- ------------------------------------------------------------------------------------------------
Distributions to common shareholders:
- ------------------------------------------------------------------------------------------------
From net investment income                                       (1,603,542)          (3,197,815)
- ------------------------------------------------------------------------------------------------
Total increase (decrease) in net assets                          (1,264,757)           3,466,618
- ------------------------------------------------------------------------------------------------
Net assets
- ------------------------------------------------------------------------------------------------
Beginning of period                                              62,984,743           59,518,125
- ------------------------------------------------------------------------------------------------
End of period (including undistributed net investment
  income of $387,646 and $535,310, respectively)                $61,719,986          $62,984,743
- ------------------------------------------------------------------------------------------------
Number of fund shares
- ------------------------------------------------------------------------------------------------
Common shares outstanding at beginning and
  end of period                                                   4,007,092            4,007,092
- ------------------------------------------------------------------------------------------------
Remarketed preferred shares outstanding at beginning
  and end of period                                                     200                  200
- ------------------------------------------------------------------------------------------------
* Unaudited

</TABLE>



<TABLE>
<CAPTION>

Financial highlights
(For a share outstanding throughout the period)

                                                                                  For the period
                                                                               November 29, 1993
                                              Six months                           (commencement
                                                   ended           Year ended     of operations)
                                                April 30           October 31      to October 31
- ------------------------------------------------------------------------------------------------
                                                    1996+                1995               1994
- ------------------------------------------------------------------------------------------------
<S>                                              <C>                 <C>               <C>
Net asset value, beginning of period
(common shares)                                   $13.22               $12.36             $14.02*
- ------------------------------------------------------------------------------------------------
Investment operations
- ------------------------------------------------------------------------------------------------
Net investment income                                .41                  .90                .85(a)
- ------------------------------------------------------------------------------------------------
Net realized and unrealized gain (loss)
on investments                                      (.28)                 .85              (1.69)
- ------------------------------------------------------------------------------------------------
Total from investment operations                     .13                 1.75               (.84)
- ------------------------------------------------------------------------------------------------
Less distributions:
- ------------------------------------------------------------------------------------------------
From net investment income
- ------------------------------------------------------------------------------------------------
To preferred shareholders                           (.05)                (.09)              (.06)**
- ------------------------------------------------------------------------------------------------
To common shareholders                              (.40)                (.80)              (.67)
- ------------------------------------------------------------------------------------------------
Total distributions                                 (.45)                (.89)              (.73)
- ------------------------------------------------------------------------------------------------
Preferred share offering costs                        --                   --               (.09)
- ------------------------------------------------------------------------------------------------
Net asset value, end of period
(common shares)                                   $12.90               $13.22             $12.36
- ------------------------------------------------------------------------------------------------
Market value, end of period
(common shares)                                  $11.625              $11.875            $10.125
- ------------------------------------------------------------------------------------------------
Total investment return at market value
(common shares) (%)(b)                              1.22(c)             25.77             (28.60)(c)
- ------------------------------------------------------------------------------------------------
Net assets, end of period (in thousands)         $61,720              $62,985            $59,518
- ------------------------------------------------------------------------------------------------
Ratio of expenses to average
net assets (%)(d)(e)                                 .60(c)              1.23                .85(a)(c)
- ------------------------------------------------------------------------------------------------
Ratio of net investment income to
average net assets (%)                              2.71(c)              6.30               5.89(a)(c)
- ------------------------------------------------------------------------------------------------
Portfolio turnover rate (%)                        87.90(c)            165.21             148.90(c)
- ------------------------------------------------------------------------------------------------
+   Unaudited
*   Represents initial net asset value of $14.10 less offering expenses of $0.08. $0.02 of these 
    expenses are due to a revision of offering expenses on  8/31/94.
**  Preferred shares were issued on February 10, 1994. (See Note 4)
(a) Reflects an expense limitation in effect during the period. As a result of such 
    limitation, expenses of the fund 
    for the period reflect a reduction of $0.02 per share.
(b) Total investment return assumes dividend reinvestment.
(c) Not annualized.
(d) Ratios reflect net assets available to common shares only; net investment income 
    ratio also reflects reduction for dividend payments to preferred shareholders.
(e) The ratio of expenses to average net assets for the year ended October 31, 1995 
    and thereafter includes amounts paid through expense offset arrangements. Prior period 
    ratios exclude these amounts. (See Note 2)


</TABLE>



Notes to financial statements
April 30, 1996 (Unaudited)

Note 1 
Significant accounting policies

The fund is registered under the Investment Company Act of 1940, as 
amended, as a diversified, closed-end management investment company. The 
fund's investment objective is to provide as high a level of current 
income exempt from federal income tax as is believed to be consistent 
with preservation of capital. The fund intends to achieve its objective 
by investing in a diversified portfolio of investment grade municipal 
securities that Putnam Investment Management, Inc. ("Putnam 
Management"), the fund's Manager, a wholly-owned subsidiary of Putnam 
Investments, Inc., believes does not involve undue risk to income or 
principal.

The following is a summary of significant accounting policies 
consistently followed by the fund in the preparation of its financial 
statements. The preparation of financial statements is in conformity 
with generally accepted accounting principles and requires management to 
make estimates and assumptions that affect the reported amounts of 
assets and liabilities. Actual results could differ from those 
estimates.

A) Security valuation Tax-exempt bonds and notes are stated on the basis 
of valuations provided by a pricing service, approved by the Trustees, 
which uses information with respect to transactions in bonds, quotations 
from bond dealers, market transactions in comparable securities and 
various relationships between securities in determining value. The fair 
market value of restricted securities is determined by the Putnam 
Management following procedures approved by the Trustees, and such 
valuations and procedures are reviewed periodically by the Trustees.

B) Security transactions and related investment income Security 
transactions are accounted for on the trade date (date the order to buy 
or sell is executed). Interest income is recorded on the accrual basis.

C) Futures and options contracts The fund may use futures and options 
contracts to hedge against changes in the values of securities the fund 
owns or expects to purchase. The fund may also write options on 
securities it owns or which it invests to increase its current returns.

The potential risk to the fund is that the change in value of futures 
and options contracts may not correspond to the change in value of the 
hedged instruments. In addition, losses may arise from changes in the 
value of the underlying instruments, if there is an illiquid secondary 
market for the contracts, or if the counterparty to the contract is 
unable to perform.

Futures contracts are valued at the quoted daily settlement prices 
established by the exchange on which they trade. Exchange traded options 
are valued at the last sale price, or if no sales are reported, the last 
bid price for purchased options and the last ask price for written 
options. Options traded over-the-counter are valued using prices 
supplied by dealers.

D) Federal 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. Therefore, no provision has 
been made for federal taxes on income, capital gains or unrealized 
appreciation on securities held and for excise tax on income and capital 
gains.

At October 31, 1995 the fund had a capital loss carryover of 
approximately $3,775,000 which may be available to offset realized 
gains, if any. 

The amount of the carryover and expiration dates are:

               Loss Carryover     Expiration
- --------------------------------------------
                   $1,994,000     10/31/2002
                   $1,781,000     10/31/2003

E) Distribution to shareholders Distributions to common and preferred 
shareholders are recorded by the fund on the ex-dividend date. Dividends 
on remarketed preferred shares become payable when, as and if declared 
by the Trustees. Each dividend period for the remarketed preferred 
shares is generally a 28 day period. The applicable dividend rate for 
the remarketed preferred shares on April 30, 1996 was 3.50%. 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. Reclassifications are made to the fund's 
capital accounts to reflect income and gains available for distribution 
(or available capital loss carryovers) under income tax regulations.

F) Determination of net asset value Net asset value of the common shares 
is determined by dividing the value of all assets of the fund (including 
accrued interest and dividends), less all liabilities (including accrued 
expenses and undeclared dividends on remarketed preferred shares) and 
the liquidation value of any outstanding remarketed preferred shares, by 
the total number of common shares outstanding.

G) Amortization of bond premium and discount Any premium resulting from 
the purchase of securities in excess of maturity value is amortized on a 
yield-to-maturity basis. 

H) Unamortized organization expenses Expenses incurred by the fund in 
connection with its organization, its registration with the Securities 
and Exchange Commission and with various states and the initial public 
offering of its shares were $27,157. These expenses are being amortized 
on a straight line basis over a five-year period. The fund will 
reimburse Putnam Management for the payment of these expenses. 

Note 2 
Management fee, administrative services, and other transactions
Compensation of Putnam Management, for management and investment 
advisory services and administrative services is paid quarterly based on 
the average net assets of the fund. Such fee is based on the following 
annual rates: 0.70% of the first $500 million of average net assets, 
0.60% of the next $500 million, 0.55% of the next $500 million, 0.50% of 
the next $1.5 billion of such average net asset value subject, under 
current law, to reduction in any year to the extent that expenses 
(exclusive of brokerage, interest and taxes) of the fund exceed 2.5% of 
the first $30 million of average net assets, 2.0% of the next $70 
million and 1.5% of any excess over $100 million and by the amount of 
certain brokerage commissions and fees (less expenses) received by 
affiliates of Putnam Management on the fund's portfolio transactions.

If dividends payable on remarketed preferred shares during any dividend 
payment period plus any expenses attributable to remarketed preferred 
shares for the period exceed the fund's net income attributable to the 
proceeds of the remarketed preferred shares during that period, then the 
fee payable to Putnam Management for that period will be reduced by an 
agreed upon formula. See "Administration Services Contact."

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.

Custodial functions for the fund's assets are provided by Putnam 
Fiduciary Trust Company (PFTC), a wholly-owned subsidiary of Putnam 
Investments, Inc. Investor servicing agent functions are provided by 
Putnam Investor Services, a division of PFTC. For the six months  ended 
April 30, 1996, fund expenses were reduced by $21,311 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 a portion of these assets utilized in connection 
with the expense offset arrangements in an income producing asset if it 
had not entered into such arrangements.

Trustees of the fund receive an annual Trustees fee of $510 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.

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.

Note 3 
Purchase and sales of securities

During the six months ended April 30, 1996, purchases and sales of 
investment securities other than 
short-term investments aggregated $51,639,077 and $54,636,419, 
respectively. There were no purchases and sales of U.S. government 
obligations. In determining the net gain or loss on securities sold, the 
cost of securities has been determined on the identified cost basis.

Note 4 
Remarketed preferred shares

The Series A shares are redeemable at the option of the fund on any 
dividend payment date at a redemption price of $50,000 per share, plus 
an amount equal to any dividends accumulated on a daily basis but unpaid 
through the redemption date (whether or not such dividends have been 
declared) and, in certain circumstances, a call premium. 

It is anticipated that approximately 100% of total distributions and 
dividends paid during the six month period ending April 30, 1996 to 
holders of remarketed preferred shares will be considered tax-exempt 
dividends under the Internal Revenue Code of 1986. To the extent that 
the fund earns taxable income and capital gains by the conclusion of a 
fiscal year, it will be required to apportion to the holders of the 
remarketed preferred shares throughout that year additional dividends as 
necessary to result in an after-tax equivalent to the applicable 
dividend rate for the period. 

Under the Investment Company Act of 1940, the fund is required to 
maintain asset coverage of at least 200% with respect to the remarketed 
preferred shares as of the last business day of each month in which any 
such shares are outstanding. Additionally, the fund is required to meet 
more stringent asset coverage requirements under terms of the remarketed 
preferred shares and the shares' rating agencies. Should these 
requirements not be met, or should dividends accrued on the remarketed 
preferred shares not be paid, the fund may be restricted in its ability 
to declare dividends to common shareholders or may be required to redeem 
certain of the remarketed preferred shares. At April 30, 1996, no such 
restrictions have been placed on the fund.

On February 10, 1994, the fund issued 200 remarketed preferred shares. 
Proceeds to the fund, before underwriting expenses of $150,000 and 
offering expenses of $214,607, amounted to $10,000,000. Such offering 
expenses and the fund underwriting expenditures were paid initially by 
Putnam Management, and the fund reimbursed Putnam Management for such 
costs. Theses expenses were charged against net assets of the fund 
available to common shareholders.



<TABLE>
<CAPTION>

Selected Quarterly Data
(Unaudited)
                                                                      Net realized and      Net increase (decrease)
                         Investment            Net investment          unrealized gain           in net assets
                           income                 income*          (loss) on investments*        from operations

                                   Per                   Per                         Per                         Per
      Quarter                   Common                Common                      Common                      Common
        Ended           Total    Share       Total     Share         Total         Share         Total         Share
      <S>          <C>           <C>      <C>          <C>     <C>                <C>      <C>                <C>
       1/31/94       $594,620     $.15    $573,545      $.14    $1,466,201          $.37    $2,039,746          $.51
       4/30/94      1,032,439      .26     853,691       .22    (5,869,325)        (1.47)   (5,015,634)        (1.25)
       7/31/94      1,102,391      .27     871,255       .22       534,393           .13     1,405,648           .35
      10/31/94      1,104,044      .28     851,511       .21    (2,907,540)         (.72)   (2,056,029)         (.51)
       1/31/95      1,067,814      .27     845,139       .21       825,521           .21     1,670,660           .42
       4/30/95      1,030,234      .25     780,180       .20     1,379,201           .34     2,159,381           .54
       7/31/95      1,116,982      .28     878,078       .22       245,134           .06     1,123,212           .28
      10/31/95        956,387      .24     727,927       .18       970,760           .24     1,698,687           .42
       1/31/96        970,123      .24     715,155       .18     1,406,862           .35     2,122,017           .53
       4/30/96        956,747      .24     731,162       .18    (2,523,955)         (.63)   (1,792,793)         (.45)

 * Available to common shareholders.

</TABLE>



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

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

John D. Hughes
Senior Vice President and Treasurer

Lawrence J. Lasser
Vice President 

Gordon H. Silver
Vice President 

Gary N. Coburn
Vice President

James E. Erickson
Vice President

Blake E. Anderson
Vice President

Michael F. Bouscaren
Vice President and Fund Manager

William N. Shiebler
Vice President 

John R. Verani
Vice President 

Paul M. O'Neil
Vice President 

Beverly Marcus
Clerk and Assistant Treasurer

This report is for the information of shareholders of Putnam Investment 
Grade Municipal Trust III. 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 
principal amount invested.

Call 1-800-225-1581 weekdays from 9 a.m. to 5 p.m. Eastern Time for up-
to-date information about the fund's net asset value.


- -------------------
Bulk Rate 
U.S. Postage
PAID
Putnam
Investments
- -------------------


Putnam Investments

The Putnam Funds
One Post Office Square
Boston, Massachusetts 02109



25126-215     6/96



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