AIM TAX EXEMPT FUNDS INC/NEW
N-30D, 1997-05-30
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<PAGE>   1



[AIM LOGO APPEARS HERE]        
                            
                                   [PHOTO APPEARS HERE]

                                   AIM TAX-EXEMPT BOND

                                   FUND OF CONNECTICUT


                                   ANNUAL REPORT                 
                                   MARCH 31, 1997






<PAGE>   2
ABOUT FUND PERFORMANCE DATA THROUGHOUT THIS REPORT:

o   AIM Tax-Exempt Bond Fund of Connecticut's performance figures are
    historical and reflect reinvestment of all distributions and changes
    in net asset value. Unless otherwise indicated, the Fund's performance
    is computed at net asset value without a sales charge. When sales
    charges are included in performance figures, performance reflects the
    maximum 4.75% sales charge.
o   During the fiscal year ended 3/31/97, the Fund paid distributions of
    $0.552 per share.  
o   The 30-day yield is calculated on the basis of a formula defined by 
    the SEC. The formula is based on the portfolio's potential earnings
    from dividends, interest, yield-to-maturity or yield-to-call of the
    bonds in the portfolio, net of all expenses and expressed on an
    annualized basis.
o   The taxable-equivalent yield is calculated in the same manner as the
    30-day yield with an adjustment for a stated, assumed tax rate.
o   The Fund's annualized distribution rate reflects the Fund's most
    recent monthly dividend distribution multiplied by 12 and divided by
    the most recent month-end net asset value.
o   The Fund's investment return and principal value will fluctuate so
    that an investor's shares, when redeemed, may be worth more or less
    than their original cost.
o   The Fund's portfolio composition is subject to change and there is no
    assurance the Fund will continue to hold any particular security.
o   Past performance cannot guarantee comparable future results.
    
ABOUT INDEXES AND OTHER PERFORMANCE BENCHMARKS CITED IN THIS REPORT:

o   The Lehman Brothers Municipal Bond Index is an unmanaged composite
    representing an approximation of the performance of investment-grade
    municipal bonds. Index performance is from 9/30/89 to 3/31/97.
o   The unmanaged Lipper Connecticut Tax-Exempt Municipal Fund Category
    represents an average of the performance of all Connecticut municipal
    bond funds tracked by Lipper Analytical Services, Inc., an independent
    mutual fund performance monitor.
o   Government securities, such as U.S. Treasury bills, notes, and bonds,
    offer a high degree of safety and are guaranteed as to the timely
    payment of principal and interest if held to maturity. Fund shares are
    not insured and their value and yield will vary with market
    conditions.
o   An investment cannot be made in any index listed. Unless otherwise
    indicated, index results include reinvested dividends and do not
    reflect sales charges.
    
          MUTUAL FUNDS, ANNUITIES, AND OTHER INVESTMENTS ARE NOT INSURED BY
             THE FDIC OR ANY OTHER GOVERNMENT AGENCY; ARE NOT DEPOSITS OR
          OTHER OBLIGATIONS OF, OR GUARANTEED BY, ANY BANK OR ANY AFFILIATE;
             AND ARE SUBJECT TO INVESTMENT RISKS, INCLUDING POSSIBLE LOSS
                            OF PRINCIPAL AMOUNT INVESTED.

                        ------------------------------
                             AIM TAX-EXEMPT BOND
    
                             FUND OF CONNECTICUT
                        ------------------------------
                          For shareholders who seek
                             to earn a high level
                              of current income
                             that is free of both
                        federal and Connecticut taxes.
                        ------------------------------

         This report may be distributed only to current shareholders
      or to persons who have received a current prospectus of the Fund.
<PAGE>   3
                                                          The Chairman's Letter 

                   Dear Fellow Shareholder:
              
                   Concerns over higher interest rates and surprisingly strong
   [PHOTO OF       economic growth dominated bond market performance during the
   Charles T.      year ended March 31, 1997. Bond investors were well served
     Bauer,        by holding portfolios of relatively short duration, such as
  Chairman of      AIM Tax-Exempt Bond Fund of Connecticut.
  the Board of        As 1997 proves to be yet another volatile year for      
    THE FUND       investing, it is ever more important to remain focused on  
 APPEARS HERE]     your personal investment objectives. There are a few basic 
                   strategies that may help you stay on track. First, you     
                   should keep a long-term outlook. If you leave your money   
                   invested over the long term, you can help avoid the results
                   of the volatility that generally accompanies financial     
                   markets over the short term. Those who try to "time" the   
                   market-move money in and out of the market based on some   
                   gauge of future market performance-tend to be less         
                   successful than investors using disciplined, long-term     
investment strategies. That's because no one, not even expert market watchers,
can consistently predict what the market will do next.
          Another strategy, diversification, may help you cushion the effects
of a volatile market and enhance your return potential. A mutual fund is
already diversified because it invests in many securities. You can diversify
even further by placing some of your assets in several different types of
domestic and international funds that may include stocks, bonds, and money
market securities.
          Finally, no matter what your investment goals or time horizon, it
makes good sense to review your portfolio regularly with your financial
consultant. In rapidly changing markets, you need an investment professional on
your side who can explain what is happening and how your portfolio may be
affected. Your financial consultant can help you create and follow a regular
investment plan-investing a certain amount of money at regular intervals-that
can help you stay on track regardless of day-to-day market activity. 
          At AIM, we meet the challenge of changing financial markets through
the consistent application of disciplined investment strategies that have served
our shareholders well for more than 20 years. We are pleased that AIM funds,
overall, have turned in attractive, and often impressive performance when
measured against benchmark indexes and peer group performance.

AIM/INVESCO MERGER FINALIZED
We are pleased to announce that the merger of A I M Management Group Inc. and
INVESCO plc was concluded on February 28, 1997. AIM is now part of one of the
world's largest independent investment management groups with approximately
$160 billion in assets under management as of March 31, 1997.
         The merger creates a company with the financial strength necessary to
meet your needs in an increasingly competitive financial services environment,
both in the United States and worldwide. Though now under one holding company,
AIM and INVESCO will continue to operate as separate entities. Therefore, this
merger will not change the portfolio management, investment style, or name of
any of the AIM funds you own. The merger's completion begins a new and
promising era for AIM, one we believe will yield exciting opportunities.
         We appreciate the trust you have placed in us and we look forward to
our continued close association. If you have any questions or comments about
this report, we invite you to call Client Services at 800-959-4246 during
normal business hours. For automated account information 24 hours a day, call
the AIM Investor Line at 800-246-5463. We also invite you to visit AIM's
award-winning Web site at http://www.aimfunds.com.

Sincerely,

/s/ CHARLES T. BAUER     

Charles T. Bauer
Chairman


The annual shareholder meeting of AIM Tax-Exempt Funds, Inc., and AIM
Tax-Exempt Bond Fund of Connecticut was held on February 7, 1997. For details
of the business transacted at that meeting, please see Supplementary Proxy
Information - Shareholder Meeting after the Financial Statements in this
report.

                         ----------------------------
                         In rapidly changing markets,
                            you need an investment
                          professional on your side
                           who can explain what is
                            happening and how your
                          portfolio may be affected.
                         ----------------------------
<PAGE>   4
The Managers' Overview

FUND PROVIDES SOLID INCOME DESPITE
VOLATILE MARKET

A roundtable discussion with the Fund management team for AIM Tax-Exempt Bond
Fund of Connecticut for the fiscal year ended March 31, 1997.
- --------------------------------------------------------------------------------
Q. HOW DID AIM TAX-EXEMPT BOND FUND OF CONNECTICUT PERFORM DURING THE
   REPORTING PERIOD?
   
A. The Fund continued to provide competitive current income exempt from
   federal and Connecticut state income taxes. As of March 31, 1997, the
   Fund's 30-day distribution rate was 5.13%. Translated into its taxable
   equivalent, the Fund's 30-day distribution rate at net asset value was
   8.89%, assuming the highest marginal federal tax rate of 39.6% and the
   Connecticut rate of 4.5%. The Fund's 30-day yield was 4.33%, when
   calculated at maximum offering price. Its 30-day taxable equivalent
   yield was 7.51%, assuming the highest marginal federal tax rate of
   39.6% and the Connecticut rate of 4.5%.
           During the fiscal year covered by this report, the Fund posted
   a total return of 4.84%, equaling that of the Lipper Connecticut Tax
   Exempt Municipal Fund Category. 
           Preservation of principal is one of the Fund's primary goals. 
   Despite volatile market conditions during the reporting period, net asset 
   value per share remained within a range of $10.66 to $10.95, thus 
   continuing the Fund's history of relative price stability shown on 
   the accompanying chart.
   
Q. WHAT WERE THE MAJOR TRENDS IN THE BOND MARKET DURING THE FISCAL YEAR?
   
A. Volatility dominated fixed-income markets. The year opened with bond
   prices declining and yields rising, a trend that continued until
   September. The market then staged a rally that lasted until December
   when bond prices again began to fall. Bond prices resumed an upward
   climb at the end of January, only to go into a mid- February decline
   that lasted through the end of the reporting period. The volatility
   that characterized the market was reflected in the yield on the
   30-year U.S. Treasury bond, which ranged from a high of 7.19% in July
   to a low of 6.35% in November before closing the year at 7.01%
   
Q. WHAT PROMPTED SUCH MARKET VOLATILITY?
   
A. Concerns that the Federal Reserve Board would raise interest rates to
   slow rapid economic growth and contain inflation kept investors on
   edge for most of the year. The regular release of economic data, which
   might provide some clues on the central bank's impending actions,
   often produced significant fluctuations in the market. Despite healthy
   economic growth in the last three quarters of 1996, however, there was
   little evidence of inflationary pressures. Consequently, the Fed left
   interest rates unchanged in the last half of 1996.
           But early in 1997, there were heightened concerns that wage
   pressures-the product of a tight job market-might ignite inflation. During
   the fiscal year ended March 31, 1997, the average hourly wage increased at
   an annualized rate of 4.0%. In congressional testimony, Fed Chairman Alan
   Greenspan stressed the "importance of acting promptly-ideally
   pre-emptively-to keep inflation low." On March 25, the Fed increased the
   federal funds rate-the rate banks charge each other for overnight loans-from
   5.25% to 5.50%. Immediately, investors began speculating whether this was
   the first in a series of rate increases and that perpetuated market
   volatility.

Q. HOW DID MUNICIPAL SECURITIES PERFORM DURING THE REPORTING PERIOD?
    
A. Early in the reporting period, talk of a possible flat tax, which
   would eliminate the federal tax-exempt status of municipal 


<TABLE>
<CAPTION>
==================================================================================
Stability of Net Asset Value
- ----------------------------------------------------------------------------------
10/3/89-3/31/97

<S>                                         <C>      
10/3/89                                     $10.00 
                                             10.19 
3/90                                          9.99 
                                             10.03 
                                              9.77 
                                             10.07 
3/91                                         10.11 
                                             10.19 
                                             10.40 
                                             10.52 
3/92                                         10.31 
                                             10.55 
                                             10.66 
                                             10.65 
3/93                                         10.88 
                                             11.08 
                                             11.33 
                                             11.29 
3/94                                         10.69 
                                             10.63 
                                             10.58 
                                             10.34 
3/95                                         10.71 
                                             10.77 
                                             10.86 
                                             11.01 
3/96                                         10.81 
                                             10.76 
                                             10.80 
                                             10.88 
3/97                                         10.77 
================================================================================
</TABLE>

Source: Towers Data Systems HYPO--Registered Trademark--. There is no guarantee
the Fund will maintain a constant NAV.  Investment return will vary so that you
may have a gain or a loss when you sell shares. Past performance cannot
guarantee comparable future results.



                                      2
<PAGE>   5
    bonds, kept investors jittery. However, after a flat tax ceased to be an 
    issue, municipal bonds performed quite well and to a certain extent seemed
    less sensitive to inflation concerns than taxable fixed-income
    securities.
         For most of the year, municipal bonds provided better total returns
    than taxable U.S. Treasury securities. A general lack of new issues
    throughout much of the period tended to keep municipal bond prices
    relatively high. As a result, municipal bonds tended to decline less in
    value than U.S. Treasuries in the volatile market environment.
        
Q.  GIVEN MARKET CONDITIONS, WHAT WAS YOUR STRATEGY FOR THE FUND DURING
    THE PERIOD?
    
A.  We maintained our focus on revenue bonds, whose creditworthiness tends
    to be less sensitive to the political environment than general
    obligation bonds.
         As of March 31, 1997, the Fund was 72% invested in revenue bonds and
    28% invested in general obligation bonds. At the end of the reporting
    period, the Fund had a weighted average maturity of 11.8 years and a
    duration of 4.6 years. Funds with shorter duration tend to be less sensitive
    to market fluctuations.
         The Fund also continued to invest in high-quality issues with good
    liquidity. As of March 31, 1997, approximately 39% of the portfolio's
    holdings were securities rated AAA, and 89% of the portfolio was rated A or
    better. Credit-enhanced securities-which are backed by insurance or escrowed
    with U.S. Treasuries-comprised about 36% of the portfolio.
         The Fund had an average portfolio quality rating of AA-as measured by
    Standard & Poor's Corporation (S&P) and Moody's Investors Service, Inc., two
    widely known credit rating agencies. S&P and Moody's ratings are historical
    and are based on analysis of the credit quality of the individual municipal
    securities in the Fund's portfolio.
        
Q.  IN RECENT YEARS, HAS THE FUND PAID ANY TAXABLE DISTRIBUTIONS?
    
A.  No, because the Fund is managed for maximum tax efficiency.  "Efficiency"
    for a tax-exempt fund refers to its ability to pay distributions that are
    free from federal income and capital gains taxes. To manage the Fund for tax
    efficiency, we make every effort to avoid transactions that would result in
    capital gains that are not offset by capital losses. For the past four
    years, the Fund has paid no taxable capital gains distributions or ordinary
    income distributions.
        
Q.  DO YOU THINK A FLAT TAX WILL BE APPROVED?
    
A.  Although talk of a flat tax resurfaced in 1997, we believe the chances one
    will be adopted are relatively slim.  For one, it could mean higher taxes
    for most Americans. Secondly, no flat-tax bill has been formally proposed. 
    If one were to be proposed, it would most likely encounter significant
    opposition from various lobbying groups. Finally, with more and more
    spending burdens being shifted to the states, it is unlikely the federal
    government would hinder the ability of the states to raise money by         
    eliminating the tax-exempt status of municipal bonds.
         In Connecticut, the state General Assembly opened its six-month 
    session on January 8, 1997, with tax reform a key issue. One proposal would
    lower the state income tax. Whether a tax cut is feasible will depend on
    the size of the state budget, expected to be approved in late May or early
    June.
        
Q.  WHAT IS YOUR MARKET OUTLOOK?
    
A.  Although the economy continues to grow at a healthy pace, inflation
    remains moderate. Consumer prices rose just 2.8% for the year ended
    March 31, 1997, according to the U.S. Department of Labor. In
    Connecticut, the economy continues to recover from the state's 1989E92
    recession. If such an environment can be sustained, it should prove
    favorable for the financial markets.
            However, some analysts warn that if national economic growth
    doesn't decelerate, it could ultimately lead to inflation, and that
    could cause the Fed to continue tightening monetary policy. Market
    observers will be closely watching leading economic indicators over
    the next few months to predict whether the Fed will raise interest
    rates again. The release of key data, such as employment information,
    could cause dramatic, short-term fluctuations in the market. In such a
    scenario, investors should remain focused on their long-term
    objectives.

<TABLE>
<CAPTION>
Portfolio Composition

As of 3/31/97
===========================================================================================
Top 5 Holdings
===========================================================================================
<S>     <C>                                           <C>
1.      Connecticut Development Authority
        7.25% (10/15/15)                              Number of Holdings        65

2.      Connecticut State Special Tax Obligation
        6.50% (10/01/12)

3.      Connecticut Health & Education                Pie Chart 
        6.875% (7/01/09)
                                                      General Obligation        28%
4.      Connecticut State Special Tax Obligation      Revenue                   72%
        6.80% (06/01/03)

5.      Connecticut State Higher Education            Average Maturity          11.8 Years
        Supplemental Loan Authority
        7.50% (11/15/10)                              Duration                  4.6 Years
===========================================================================================
</TABLE>

Please keep in mind the Fund's portfolio is subject to change and there is no
assurance the Fund will continue to hold any particular security.



                                      3
<PAGE>   6
Long-Term Performance

AIM TAX-EXEMPT BOND FUND OF CONNECTICUT VS. BENCHMARK INDEX

The chart below compares your Fund to a benchmark index. It is intended to give
you a general idea of how your Fund performed compared to the bond market over
the period 10/3/89-3/31/97. It is important to understand the difference
between your Fund and an index. Your Fund's total return is shown with a sales
charge and includes Fund expenses and management fees. An index measures the
performance of a hypothetical portfolio, in this case the Lehman Brothers
Municipal Bond Index. Unlike your Fund, the index is not managed; therefore,
there are no sales charges, expenses or fees. You cannot invest in an index.
But if you could buy all the securities that make up a particular index, you
would incur expenses that would affect the return on your investment.

===============================================================================
Growth of a $10,000 Investment

10/3/89-3/31/97
(In thousands)
<TABLE>
<CAPTION>
          AIM Tax-Exempt Bond Fund of Connecticut   Lehman Bros. Muni Bond Index
<S>                      <C>                                  <C>
10/3/89                  $9,524                               $10,000

3/90                     9,789                                10,430

3/91                     10,613                               11,393

3/92                     11,622                               12,532

3/93                     13,082                               14,102

3/94                     13,560                               14,429

3/95                     14,345                               15,501

3/96                     15,240                               16,800

3/97                     15,977                               17,717
===============================================================================
</TABLE>

Past performance cannot guarantee comparable future results.

===============================================================================
Average Annual Total Returns

As of 3/31/97, including sales charges

Inception (10/3/89)               6.46%
5 Years                           5.54%
1 Year                           -0.14%*

*4.84% excluding sales charges
===============================================================================


Your Fund's total return includes sales charges, expenses, and management fees.
For Fund performance calculations and descriptions of indexes cited on this
page, please refer to the inside front cover.



                                      4
<PAGE>   7
 
SCHEDULE OF INVESTMENTS
 
MARCH 31, 1997
 
<TABLE>
<CAPTION>
                               RATING(a)       PAR        MARKET
                              S&P   MOODY'S   (000)        VALUE
<S>                          <C>    <C>      <C>        <C>
MUNICIPAL OBLIGATIONS-97.91%

EDUCATION-11.44%

Connecticut Health and
  Education Facilities
  Authority (Fairfield
  University); Series F RB
  6.875%, 07/01/09           BBB+   Baa1      $1,475    $ 1,548,013
- -------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority
  (Quinnipiac College); RB
  4.90%, Series D, 07/01/98  BBB-   -            150        149,292
- -------------------------------------------------------------------
  7.25%, Series 1989 B,
    07/01/99(b)(c)           AAA    NRR          450        484,942
- -------------------------------------------------------------------
Connecticut Regional School
  District No. 5;
  Series 1992 GO
  6.00%, 03/01/12(d)         AAA    Aaa          335        346,893
- -------------------------------------------------------------------
Connecticut Regional School
  District No. 5
  (Towns of Bethany, Orange
  and Woodbridge); 1993
  Issue GO
  5.50%, 02/15/07(d)         AAA    Aaa          500        513,760
- -------------------------------------------------------------------
Connecticut State Higher
  Education Supplemental
  Loan Authority (Family
  Education Loan Program);
  Series 1990 A RB
  7.50%, 11/15/10(e)         -      A1         1,265      1,317,080
- -------------------------------------------------------------------
                                                          4,359,980
- -------------------------------------------------------------------

ELECTRIC-4.47%

Connecticut Development
  Authority (New England
  Power Co.); Series 1985
  Fixed Rate PCR
  7.25%, 10/15/15            A+     A2         1,600      1,702,608
- -------------------------------------------------------------------

GENERAL OBLIGATION-12.08%

Bridgeport (Town of),
  Connecticut; Series A
  Unlimited GO
  6.00%, 09/01/06(d)         AAA    Aaa          875        929,871
- -------------------------------------------------------------------
Brooklyn (City of),
  Connecticut; Unlimited
  Tax GO
  5.50%, 05/01/06(d)         AAA    Aaa          250        255,905
- -------------------------------------------------------------------
  5.70%, 05/01/08(d)         AAA    Aaa          250        258,310
- -------------------------------------------------------------------
Chester (Town of),
  Connecticut; Series 1989
  GO
  7.00%, 10/01/05            -      A            190        201,292
- -------------------------------------------------------------------
Connecticut (State of);
  Series 1991 A GO
  6.75%, 03/01/01(b)(c)      NRR    NRR          480        521,323
- -------------------------------------------------------------------
Connecticut (State of)
  (General Purpose Public
  Improvement); GO
  6.75%, Series 1991 A,
    03/01/01(b)(c)           NRR    NRR          200        217,218
- -------------------------------------------------------------------
  6.50%, Series 1992 A,
    03/15/02(b)(c)           NRR    NRR          300        325,860
- -------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                               RATING(a)       PAR        MARKET
                              S&P   MOODY'S   (000)        VALUE
<S>                          <C>    <C>     <C>        <C>
 
GENERAL OBLIGATION-(CONTINUED)
Mansfield (City of),
  Connecticut; Series 1990
  GO
  6.00%, 06/15/07            -      A1       $  100    $   105,855
- ------------------------------------------------------------------
  6.00%, 06/15/08            -      A1          100        104,983
- ------------------------------------------------------------------
  6.00%, 06/15/09            -      A1          100        105,760
- ------------------------------------------------------------------
New Britain (City of),
  Connecticut; Series 1992
  Various Purpose GO
  6.00%, 02/01/11(d)         AAA    Aaa         400        418,364
- ------------------------------------------------------------------
North Canaan (City of),
  Connecticut;
  Series 1991 GO
  6.50%, 01/15/08            -      A           125        137,080
- ------------------------------------------------------------------
  6.50%, 01/15/09            -      A           125        136,744
- ------------------------------------------------------------------
  6.50%, 01/15/10            -      A           125        136,234
- ------------------------------------------------------------------
  6.50%, 01/15/11            -      A           125        135,566
- ------------------------------------------------------------------
Somers (City of),
  Connecticut; Series 1990
  Various Purpose GO
  6.00%, 12/01/10            -      A1          190        200,146
- ------------------------------------------------------------------
Westbrook (City of),
  Connecticut; Series 1992
  GO
  6.40%, 03/15/10(d)         AAA    Aaa         380        416,176
- ------------------------------------------------------------------
                                                         4,606,687
- ------------------------------------------------------------------

HEALTH CARE-13.22%

Connecticut Health and
  Education Facilities
  Authority
  (Bridgeport Hospital);
  1992 Series A RB
  6.625%, 07/01/18(d)        AAA    Aaa         500        528,595
- ------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority
  (Capital Asset); Series
  1989 B RB
  7.00%, 01/01/00(f)         A      A1          200        209,856
- ------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority
  (Danbury Hospital); 1991
  Series E RB
  6.50%, 07/01/14(d)         AAA    Aaa         750        786,278
- ------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority
  (Middlesex Hospital);
  1992 Series G RB
  6.25%, 07/01/12(d)         AAA    Aaa       1,100      1,142,647
- ------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority
  (New Britain Memorial
  Hospital); Series 1991 A
  RB
  7.75%, 07/01/22            BBB-   -           500        533,325
- ------------------------------------------------------------------
Connecticut Health and
  Education Facilities
  Authority (Stamford
  Hospital); Series F RB
  5.40%, 07/01/09(d)         AAA    Aaa       1,000        993,720
- ------------------------------------------------------------------

</TABLE>
 
                                        5
<PAGE>   8
 
<TABLE>
<CAPTION>
                               RATING(a)       PAR        MARKET
                              S&P   MOODY'S   (000)        VALUE
<S>                          <C>    <C>      <C>        <C>
 

HEALTH CARE-(CONTINUED)
Connecticut Health and
  Education Facilities
  Authority (Yale-New Haven
  Hospital); Series 1990 F
  RB
  7.10%, 07/01/00(b)(c)      AAA    Aaa      $  775    $   845,339
- ------------------------------------------------------------------
                                                         5,039,760
- ------------------------------------------------------------------

HOUSING-13.45%

Connecticut Housing
  Development Authority
  (Housing Mortgage Finance
  Program); RB
  7.55%, Series 1990 B-1,
    11/15/08                 AA     Aa          345        358,010
- ------------------------------------------------------------------
  7.00%, Series 1991 A-1,
    11/15/09                 AA     Aa          450        471,240
- ------------------------------------------------------------------
  6.55%, Series 1991 C,
    Sub-Series C-3,
    11/15/13                 AA     Aa          310        322,576
- ------------------------------------------------------------------
  7.00%, Series C,
    11/15/99(e)              AA     Aa          320        331,363
- ------------------------------------------------------------------
Connecticut (State of)
  (Housing Mortgage Finance
  Program); RB
  6.00%, Series 1993 E-1,
    05/15/17                 AA     Aa          675        676,289
- ------------------------------------------------------------------
  5.95%, Series E-1,
    05/15/17                 AA     Aa          500        498,795
- ------------------------------------------------------------------
  6.30%, Series C-1,
    11/15/17                 AA     Aa        1,270      1,289,152
- ------------------------------------------------------------------
  6.25%, Series C-2,
    11/15/18                 AA     Aa          750        756,510
- ------------------------------------------------------------------
  6.70%, Series C-2,
    11/15/22(e)              AA     Aa          415        424,125
- ------------------------------------------------------------------
                                                         5,128,060
- ------------------------------------------------------------------

LEASE RENTAL-1.11%

Connecticut (State of)
  (Middletown Courthouse
  Facilities Project); 1991
  Issue Lease-Rental
  Revenue Certificates of
  Participation
  6.25%, 12/15/10(d)         AAA    Aaa         400        422,772
- ------------------------------------------------------------------

RESOURCE RECOVERY-5.93%

Connecticut State Resource
  Recovery Authority
  (American Ref-Fuel Co.-
  Southeastern Connecticut
  Project); Series 1988 A
  RB
  8.00%, 11/15/15(e)         AA-    Baa1        500        536,335
- ------------------------------------------------------------------
Connecticut State Resource
  Recovery Authority
  (Bridgeport Resco
  Corp.-Ltd. Partners);
  1985 Issue RB
  8.625%, Project B,
    01/01/04                 A      A           670        687,052
- ------------------------------------------------------------------
  7.625%, Project A,
    01/01/09                 A      A         1,000      1,035,610
- ------------------------------------------------------------------
                                                         2,258,997
- ------------------------------------------------------------------

TRANSPORTATION-19.05%

Connecticut State Special
  Tax Obligation
  (Transportation
  Infrastructure); RB
  5.10%, Series 1992 B,
    09/01/99                 AA-    A1        1,000      1,010,330
- ------------------------------------------------------------------
  6.25%, Series 1991 B,
    10/01/01(b)(c)           NRR    Aaa       1,000      1,077,100
- ------------------------------------------------------------------
  6.80%, Series A,
    06/01/03(b)(c)           NRR    NRR       1,250      1,372,788
- ------------------------------------------------------------------
  6.50%, Series 1991 B,
    10/01/10                 AA-    A1          530        586,969
- ------------------------------------------------------------------
</TABLE>
 
<TABLE>
<CAPTION>
                               RATING(a)       PAR        MARKET
                              S&P   MOODY'S   (000)        VALUE
<S>                          <C>    <C>     <C>        <C>
 
TRANSPORTATION-(CONTINUED)
Connecticut State Special
  Tax Obligation
  (Transportation
  Infrastructure Sales and
  Excise Tax); RB
  5.90%, Series 1991 B,
    10/01/99                 AA-    A1       $1,000    $ 1,030,060
- ------------------------------------------------------------------
  6.80%, Series 1989 C,
    12/01/99(b)(c)           AAA    NRR         500        537,640
- ------------------------------------------------------------------
  6.50%, Series 1991 B,
    10/01/12                 AA-    A1        1,500      1,645,155
- ------------------------------------------------------------------
                                                         7,260,042
- ------------------------------------------------------------------

WATER & SEWER-9.47%

Connecticut Development
  Authority (Pfizer Inc.);
  Series 1982 Refunding PCR
  6.55%, 02/15/13            AAA    Aaa         250        269,158
- ------------------------------------------------------------------
Connecticut Development
  Authority Water Facility
  (Bridgeport Hydraulic Co.
  Project); Refunding RB
  7.25%, Series 1990,
    06/01/20                 A+     -           800        858,336
- ------------------------------------------------------------------
  6.15%, 04/01/35(e)         A+     -           250        247,495
- ------------------------------------------------------------------
Connecticut State Clean
  Water Fund; Series 1991
  Clean Water RB
  7.00%, 01/01/11            AA+    Aa2       1,100      1,203,125
- ------------------------------------------------------------------
Manchester (City of)
  Connecticut Eighth
  Utilities Fire District;
  Series 1991 GO
  6.75%, 08/15/06            -      A1          180        199,760
- ------------------------------------------------------------------
South Central Connecticut
  Regional Water Authority;
  Eighth Series 1990 A
  Water System RB
  6.60%, 08/01/00(b)(c)      NRR    NRR         250        268,898
- ------------------------------------------------------------------
South Central Connecticut
  Regional Water Authority;
  Series 1988 Water System
  RB
  6.80%, 08/01/98(b)(c)      NRR    NRR         535        563,718
- ------------------------------------------------------------------
                                                         3,610,490
- ------------------------------------------------------------------

MISCELLANEOUS-7.69%

Connecticut Development
  Authority (Economic
  Development Projects);
  1992 Series Refunding
  Bonds
  6.00%, 11/15/08            AA-    Aa          500        520,500
- ------------------------------------------------------------------
Guam (Government of);
  Series 1995 A GO
  4.90%, 09/01/97            BBB    -           500        500,930
- ------------------------------------------------------------------
  5.25%, 09/01/99            BBB    -           250        250,345
- ------------------------------------------------------------------
  5.375%, 09/01/00           BBB    -           250        250,458
- ------------------------------------------------------------------
</TABLE> 
                                        6
<PAGE>   9
 
<TABLE>
<CAPTION>
                               RATING(a)       PAR        MARKET
                              S&P   MOODY'S   (000)        VALUE
<S>                          <C>    <C>      <C>        <C>
 
MISCELLANEOUS-(CONTINUED)
Guam (Government of);
  Series 1994 A GO
  5.50%, 08/15/97            BBB    -        $  500    $   501,885
- ------------------------------------------------------------------
Puerto Rico Commonwealth
  (Highway and
  Transportation
  Authority); Series X RB
  5.20%, 07/01/03            A      Baa1        500        505,800
- ------------------------------------------------------------------
Puerto Rico Electric Power
  Authority; Series W RB
  5.00%, 07/01/98            BBB+   Baa1        400        402,944
- ------------------------------------------------------------------
                                                         2,932,862
- ------------------------------------------------------------------
TOTAL INVESTMENTS-97.91%                                37,322,258
- ------------------------------------------------------------------
OTHER ASSETS LESS LIABILITIES-2.09%                        796,217
- ------------------------------------------------------------------
NET ASSETS-100.00%                                     $38,118,475
==================================================================
</TABLE>

ABBREVIATIONS:
 
GO   General Obligation Bonds
NRR  Not re-rated
PCR  Pollution Control Revenue Bonds
RB   Revenue Bonds
 
NOTES TO SCHEDULE OF INVESTMENTS:
 
(a) Ratings assigned by Moody's Investors Service, Inc. ("Moody's") and
    Standard & Poor's Corporation ("S&P"). NRR indicates a security that
    is not re-rated subsequent to funding of an escrow fund (consisting
    of U.S. Treasury obligations); this funding is pursuant to an advance
    refunding of the security. Ratings are not covered by Independent
    Auditors' Report.
 
(b) Secured by an escrow fund of U.S. Treasury obligations.
 
(c) Subject to an irrevocable call or mandatory put. Market value and
    maturity date reflect such call or put.
 
(d) Secured by bond insurance.
 
(e) Security subject to alternative minimum tax.
 
(f)  Secured by a letter of credit.
 
See Notes to Financial Statements.
 
                                        7
<PAGE>   10
STATEMENT OF ASSETS AND LIABILITIES
 
MARCH 31, 1997
 
<TABLE>
<S>                                        <C>
ASSETS:

Investments, at market value (cost
  $35,730,336)                             $   37,322,258
- ---------------------------------------------------------
Receivables for:
  Investments sold                              1,023,000
- ---------------------------------------------------------
  Capital stock sold                               41,043
- ---------------------------------------------------------
  Interest                                        692,735
- ---------------------------------------------------------
Investment for deferred compensation plan          12,601
- ---------------------------------------------------------
Other assets                                        3,258
- ---------------------------------------------------------
    Total assets                               39,094,895
- ---------------------------------------------------------

LIABILITIES:

Payables for:
  Amount due to custodian bank                    836,124
- ---------------------------------------------------------
  Dividends                                        64,157
- ---------------------------------------------------------
  Deferred compensation                            12,601
- ---------------------------------------------------------
Accrued advisory fees                               4,968
- ---------------------------------------------------------
Accrued administrative service fees                 8,538
- ---------------------------------------------------------
Accrued distribution fees                          24,260
- ---------------------------------------------------------
Accrued transfer agent fees                         1,076
- ---------------------------------------------------------
Accrued operating expenses                         24,696
- ---------------------------------------------------------
    Total liabilities                             976,420
- ---------------------------------------------------------

NET ASSETS APPLICABLE TO SHARES
  OUTSTANDING                              $   38,118,475
=========================================================
Capital stock, $.001 par value per share:
  Authorized                                1,000,000,000
- ---------------------------------------------------------
  Outstanding                                   3,539,857
=========================================================

NET ASSET VALUE AND REDEMPTION PRICE PER
  SHARE                                    $        10.77
=========================================================
OFFERING PRICE PER SHARE:
  (Net asset value of $10.77 divided 
   by 95.25%)                              $        11.31
=========================================================
</TABLE>
 
STATEMENT OF OPERATIONS
 
FOR THE YEAR ENDED MARCH 31, 1997
 
<TABLE>
<S>                                           <C>
INVESTMENT INCOME:

Interest income                               $2,295,751
- --------------------------------------------------------

EXPENSES:

Advisory fees                                    194,372
- --------------------------------------------------------
Custodian fees                                     3,545
- --------------------------------------------------------
Transfer agent fees                               25,300
- --------------------------------------------------------
Directors' fees                                    6,401
- --------------------------------------------------------
Distribution fees                                 97,186
- --------------------------------------------------------
Administrative services fees                      49,467
- --------------------------------------------------------
Other                                             48,860
- --------------------------------------------------------
    Total expenses                               425,131
- --------------------------------------------------------
Less fees waived by advisor                     (144,775)
- --------------------------------------------------------
    Net expenses                                 280,356
- --------------------------------------------------------
Net investment income                          2,015,395
- --------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON
  INVESTMENT SECURITIES:

Net realized gain (loss) on sales of
  investment securities                         (111,639)
- --------------------------------------------------------
Unrealized appreciation (depreciation) of
  investment securities                          (75,618)
- --------------------------------------------------------
    Net gain (loss) on investment securities    (187,257)
- --------------------------------------------------------
Net increase in net assets resulting from
  operations                                  $1,828,138
=========================================================
</TABLE>
 
See Notes to Financial Statements.
 
                                        8
<PAGE>   11
 
STATEMENT OF CHANGES IN NET ASSETS
 
FOR THE YEARS ENDED MARCH 31, 1997 AND 1996
 
<TABLE>
<CAPTION>
                                                                 1997            1996
<S>                                                           <C>             <C>
OPERATIONS:

  Net investment income                                       $ 2,015,395     $ 2,046,631
- -----------------------------------------------------------------------------------------
  Net realized gain (loss) on sales of investment securities     (111,639)        (39,012)
- -----------------------------------------------------------------------------------------
  Net unrealized appreciation (depreciation) of investment
    securities                                                    (75,618)        362,769
- -----------------------------------------------------------------------------------------
    Net increase in net assets resulting from operations        1,828,138       2,370,388
- -----------------------------------------------------------------------------------------
Distributions to shareholders from net investment income       (1,983,768)     (2,032,807)
- -----------------------------------------------------------------------------------------
Net increase (decrease) from capital stock transactions        (1,081,336)        729,185
- -----------------------------------------------------------------------------------------
    Net increase (decrease) in net assets                      (1,236,966)      1,066,766
- -----------------------------------------------------------------------------------------

NET ASSETS:

  Beginning of period                                          39,355,441      38,288,675
- -----------------------------------------------------------------------------------------
  End of period                                               $38,118,475     $39,355,441
=========================================================================================

NET ASSETS CONSIST OF:

  Capital (par value and additional paid-in)                  $36,742,486     $37,823,822
- -----------------------------------------------------------------------------------------
  Undistributed net investment income                              36,704           5,077
- -----------------------------------------------------------------------------------------
  Undistributed net realized gain (loss) on sales of
    investment securities                                        (252,637)       (140,998)
- -----------------------------------------------------------------------------------------
  Unrealized appreciation of investment securities              1,591,922       1,667,540
- -----------------------------------------------------------------------------------------
                                                              $38,118,475     $39,355,441
=========================================================================================
</TABLE>
 
See Notes to Financial Statements.
 
NOTES TO FINANCIAL STATEMENTS
 
MARCH 31, 1997
 
NOTE 1-SIGNIFICANT ACCOUNTING POLICIES
 
AIM Tax-Exempt Funds, Inc. (the "Company") is registered under the Investment
Company Act of 1940, as amended (the "1940 Act"), as an open-end management
investment company. The Company is organized as a Maryland corporation
consisting of three separate portfolios; AIM Tax-Exempt Bond Fund of
Connecticut, AIM Tax-Exempt Cash Fund and the Intermediate Portfolio. Matters
affecting each portfolio are voted on exclusively by the shareholders of such
portfolio. The assets, liabilities and operations of each portfolio are
accounted for separately. Information presented in these financial statements
pertains only to the AIM Tax-Exempt Bond Fund of Connecticut (the "Fund"). The
investment objective of the Fund is to earn a high level of income free from
federal taxes and Connecticut taxes by investing at least 80% of its net assets
in municipal bonds and other municipal securities.
  The following is a summary of the significant accounting policies followed by
the Fund in the preparation of its financial statements. The preparation of
financial statements in conformity with generally accepted accounting principles
requires management to make estimates and assumptions that affect the reported
amounts of assets and liabilities at the date of the financial statements and
the reported amounts of revenues and expenses during the reporting period.
Actual results could differ from those estimates.
 
A. Security Valuations--Portfolio securities are valued based on market
   quotations or at fair value determined by a pricing service approved by the
   Board of Directors, provided that securities with a demand feature
   exercisable within one to seven days are valued at par. Prices provided by
   the pricing service represent valuations of the mean between current bid and
   asked market prices which may be determined without exclusive reliance on
   quoted prices and may reflect appropriate factors such as institution-size
   trading in similar groups of securities, yield, quality, coupon rate,
   maturity, type of issue, individual trading characteristics and other market
   data. Portfolio securities for which prices are not provided by the pricing
   service are valued at the mean between the last available bid and asked
   prices, unless the Board of Directors or its designees determines that the
   mean between the last available bid and asked prices does not accurately
   reflect the current market value of the security. Securities for which market
   quotations either are not readily available or are questionable are valued at
   fair value as determined in good faith by or under the supervision of the
   Company's officers in accordance with methods which are specifically
   authorized by the Board of Directors. Notwithstanding the above, short-term
   obligations with maturities of sixty days or less are valued at amortized
   cost.
B. Securities Transactions and Investment Income--Securities transactions are
   recorded on a trade date basis. Realized gains and losses on sales are
   computed on the basis of specific identification of the securities sold.
   Interest income, adjusted for amortization of premiums and original issue
   discounts, is recorded as earned from settlement date and is recorded on the
   accrual basis.
C. Dividends and Distributions to Shareholders--It is the policy of the Fund to
   declare daily dividends from net investment
 
                                        9
<PAGE>   12
 
   income. Such dividends are paid monthly. Net realized capital gains
   (including net short-term capital gains and market discounts), if any, are
   distributed annually.
D. Federal Income Taxes--The Fund intends to comply with the requirements of the
   Internal Revenue Code necessary to qualify as a regulated investment company
   and, as such, will not be subject to federal income taxes on otherwise
   taxable income (including net realized capital gains) which is distributed to
   shareholders. Therefore, no provision for federal income taxes is recorded in
   the financial statements. The Fund has a capital loss carryforward (which may
   be carried forward to offset future taxable gains, if any) of $229,538, which
   expires, if not previously utilized, through the year 2005. The Fund cannot
   distribute capital gains to shareholders until the tax loss carryforwards
   have been utilized. In addition, the Fund intends to invest in such municipal
   securities to allow it to qualify to pay to shareholders "exempt interest
   dividends," as defined in the Internal Revenue Code.
 
NOTE 2-ADVISORY FEES AND OTHER TRANSACTIONS WITH AFFILIATES
 
The Company has entered into a master investment advisory agreement with A I M
Advisors, Inc. ("AIM"). Under the terms of the master investment advisory
agreement, the Fund pays an advisory fee to AIM at the annual rate of 0.50% of
the Fund's average daily net assets. During the year ended March 31, 1997, AIM
voluntarily waived advisory fees of $144,775.
  The Fund, pursuant to a master administrative services agreement with AIM, has
agreed to reimburse AIM for certain costs incurred in providing accounting
services to the Fund. During the year ended March 31, 1997, the Fund reimbursed
AIM $49,467 for such services.
  The Fund, pursuant to a transfer agency and service agreement, has agreed to
pay A I M Fund Services, Inc. ("AFS") a fee for providing transfer agent and
shareholder services to the Fund. During the year ended March 31, 1997, the Fund
paid AFS $16,224 for such services.
  Under the terms of a master distribution agreement between the Company and the
Fund, A I M Distributors, Inc. ("AIM Distributors") acts as the exclusive
distributor of the Fund's shares. The Company has also adopted a plan pursuant
to Rule 12b-1 under the 1940 Act (the "Plan") with respect to the Fund, whereby
the Fund pays to AIM Distributors compensation at an annual rate of 0.25% of the
Fund's average daily net assets. The Plan is designed to compensate AIM
Distributors for certain promotional and other sales related costs and provides
for periodic payments to selected dealers and financial institutions who furnish
continuing personal shareholder services to their customers who purchase and own
shares of the Fund. Any amounts not paid as a service fee under such plan would
constitute an asset-based sales charge. The Plan also imposes a cap on the total
sales charges, including asset-based sales charges, that may be paid by the
Fund. During the year ended March 31, 1997, the Fund paid AIM Distributors
$97,186 as compensation under the Plan. Certain officers and directors of the
Company are officers of AIM, AFS and AIM Distributors.
  AIM Distributors received commissions of $27,428 from sales of shares of the
Fund's capital stock during the year ended March 31, 1997. Such commissions are
not an expense of the Fund. They are deducted from, and are not included in, the
proceeds from sales of capital stock.
  During the year ended March 31, 1997, the Fund paid legal fees of $3,997 for
services rendered by Kramer, Levin, Naftalis & Frankel as counsel to the Board
of Directors. A member of that firm is a director of the Company.
 
NOTE 3-DIRECTORS' FEES
 
Directors' fees represent remuneration paid or accrued to each director who is
not an "interested person" of AIM. The Company may invest directors' fees, if so
elected by a director, in mutual fund shares in accordance with a deferred
compensation plan.
 
NOTE 4-BANK BORROWINGS
 
The Fund is a participant in a committed line of credit facility with a
syndicate administered by The Chase Manhattan Bank. The Fund may borrow up to
the lesser of (i) $325,000,000 or (ii) the limits set by its prospectus for
borrowings. The Fund and other funds advised by AIM which are parties to the
line of credit may borrow on a first come, first served basis. Interest on
borrowings under the line of credit is payable on maturity or prepayment date.
During the year ended March 31, 1997, the Fund did not borrow under the line of
credit agreement. The funds which are parties to the line of credit are charged
a commitment fee of 0.08% on the unused balance of the committed line. The
commitment fee is allocated among such funds based on their respective average
net assets for the period.
 
NOTE 5-INVESTMENT SECURITIES
 
The aggregate amount of investment securities (other than short-term securities)
purchased and sold during the year ended March 31, 1997 were $6,435,125 and
$6,950,383, respectively. The amount of unrealized appreciation (depreciation)
of investment securities as of March 31, 1997 is as follows:
 
<TABLE>
<S>                                           <C>
Aggregate unrealized appreciation of
  investment securities                       $1,599,717
- --------------------------------------------------------
Aggregate unrealized (depreciation) of
  investment securities                           (7,795)
- --------------------------------------------------------
Net unrealized appreciation of investment
  securities                                  $1,591,922
========================================================
</TABLE>

Investments have the same cost for tax and financial statement purposes.
 
NOTE 6-CAPITAL STOCK
 
Changes in capital stock outstanding for the years ended March 31, 1997 and 1996
were as follows:
 
<TABLE>
<CAPTION>
                                1997                      1996
                       ----------------------   ------------------------
                        SHARES      AMOUNT        SHARES       AMOUNT
                       --------   -----------   ----------   -----------
<S>                    <C>        <C>           <C>          <C>
Sold                    522,830   $ 5,656,859      555,351   $ 6,036,362
- ---------------------------------------------   ------------------------
Issued as              
  reinvestment of      
  dividends             115,643     1,250,693      116,353     1,264,613
- ---------------------------------------------   ------------------------
Reacquired             (739,882)   (7,988,888)    (603,962)   (6,571,790)
- ---------------------------------------------   ------------------------
                       (101,409)  $(1,081,336)      67,742   $   729,185
=============================================   ========================
</TABLE>
 
                                       10
<PAGE>   13
NOTE 7-FINANCIAL HIGHLIGHTS
 
Shown below are the financial highlights for a share of capital stock
outstanding during each of the years in the three-year period ended March 31,
1997, the three months ended March 31, 1994, each of the years in the four-year
period ended December 31, 1993 and the period October 3, 1989 (date operations
commenced) through December 31, 1989.
<TABLE>
<CAPTION>
                                                                         MARCH 31,                           DECEMBER 31,
                                                        --------------------------------------------     --------------------
                                                         1997         1996        1995        1994         1993      1992(a)
                                                        -------     --------    --------    --------     --------    --------
<S>                                                     <C>         <C>         <C>         <C>          <C>         <C>
Net asset value, beginning of period                    $ 10.81     $  10.71    $  10.69    $  11.29     $  10.65    $  10.52
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
Income from investment operations:
    Net investment income                                  0.56         0.56        0.56        0.15         0.60        0.66
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
    Net gains (losses) on securities (both realized
      and unrealized)                                     (0.05)        0.10        0.04       (0.61)        0.65        0.17
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
        Total from investment operations                   0.51         0.66        0.60       (0.46)        1.25        0.83
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
Less distributions:
    Dividends from net investment income                  (0.55)       (0.56)      (0.57)      (0.14)       (0.60)      (0.66)
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
    Distributions from net realized capital gains            --           --          --          --        (0.01)      (0.04)
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
    Returns of capital                                       --           --       (0.01)         --           --
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
        Total distributions                               (0.55)       (0.56)      (0.58)      (0.14)       (0.61)      (0.70)
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
Net asset value, end of period                          $ 10.77     $  10.81    $  10.71    $  10.69     $  11.29    $  10.65
- -----------------------------------------------------   -------     --------    --------    --------     --------    --------
Total return(b)                                            4.84%        6.24%       5.78%      (4.06)%      11.99%       8.22%
=====================================================   =======     ========    ========    ========     ========    ======== 
Ratio/supplemental data:
Net assets, end of period (000s omitted)                $38,118     $ 39,355    $ 38,289    $ 42,361     $ 46,224    $ 33,110
=====================================================   =======     ========    ========    ========     ========    ======== 
Ratio of expenses to average net assets(c)                 0.72%(d)     0.66%       0.55%       0.50%(e)     0.34%       0.25%
=====================================================   =======     ========    ========    ========     ========    ======== 
Ratio of net investment income to average net
  assets(c)                                                5.18%(d)     5.16%       5.37%       5.32%(e)     5.42%       6.25%
=====================================================   =======     ========    ========    ========     ========    ======== 
Portfolio turnover rate                                      17%          17%          7%          2%           5%         43%
=====================================================   =======     ========    ========    ========     ========    ======== 
 
<CAPTION>
                                                                 DECEMBER 31,
                                                       --------------------------------
                                                         1991        1990        1989
                                                       --------    --------    --------
<S>                                                    <C>         <C>         <C>
Net asset value, beginning of period                   $  10.07    $  10.19     $ 10.00
- -----------------------------------------------------  --------    --------     -------
Income from investment operations:
    Net investment income                                  0.69        0.67        0.14
- -----------------------------------------------------  --------    --------     -------
    Net gains (losses) on securities (both realized
      and unrealized)                                      0.50       (0.10)       0.16
- -----------------------------------------------------  --------    --------     -------
        Total from investment operations                   1.19        0.57        0.30
- -----------------------------------------------------  --------    --------     -------
Less distributions:
    Dividends from net investment income                  (0.69)      (0.69)      (0.11)
- -----------------------------------------------------  --------    --------     -------
    Distributions from net realized capital gains         (0.05)         --          --
- -----------------------------------------------------  --------    --------     -------
    Returns of capital                                       --          --          --
- -----------------------------------------------------  --------    --------     -------
        Total distributions                               (0.74)      (0.69)      (0.11)
- -----------------------------------------------------  --------    --------     -------
Net asset value, end of period                         $  10.52    $  10.07     $ 10.19
- -----------------------------------------------------  --------    --------     -------
Total return(b)                                           12.23%       5.88%       3.06%
=====================================================  ========    ========     =======    
Ratio/supplemental data:                                                    
Net assets, end of period (000s omitted)               $ 27,298    $ 16,685     $ 6,556
=====================================================  ========    ========     =======    
Ratio of expenses to average net assets(c)                 0.25%       0.25%       0.25%(e)
=====================================================  ========    ========     =======    
Ratio of net investment income to average net
  assets(c)                                                6.73%       6.82%       6.21%(e)
=====================================================  ========    ========     =======    
Portfolio turnover rate                                      43%         57%         63%
=====================================================  ========    ========     =======    
</TABLE>
 
(a) The Fund changed investment advisors on June 30, 1992.

(b) Does not deduct sales charges and for periods less than one year, total
    returns are not annualized.

(c) After waiver of advisory fees and expense reimbursements. Ratios of expenses
    to average net assets prior to waiver of advisory fees and expense
    reimbursements are 1.09%, 1.16%, 1.13%, 1.23% (annualized), 1.30%, 1.12%,
    1.26%, 1.33%, and 1.99% (annualized) for the period 1997-89, respectively.
    Ratios of net investment income to average net assets prior to waiver of
    advisory fees and expense reimbursements are 4.81%, 4.66%, 4.79%, 4.59%
    (annualized), 4.45%, 5.38%, 5.72%, 5.74%, and 4.48% (annualized) for the
    period 1997-89, respectively.
(d) Ratios are based on average daily net assets of $38,874,455.

(e) Annualized.
 
                                       11
<PAGE>   14
 
                      INDEPENDENT AUDITORS' REPORT
 
                      The Board of Directors and Shareholders of
                      AIM Tax-Exempt Funds, Inc.:
 
                      We have audited the accompanying statement of assets and
                      liabilities of AIM Tax-Exempt Bond Fund of Connecticut (a
                      portfolio of AIM Tax-Exempt Funds, Inc.), including the
                      schedule of investments, as of March 31, 1997, and the
                      related statement of operations for the year then ended,
                      the statement of changes in net assets for each of the
                      years in the two-year period then ended and the financial
                      highlights for each of the years in the three-year period
                      then ended, the three-month period ended March 31, 1994,
                      and the year ended December 31, 1993. 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 the 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 the
                      financial highlights are free of material misstatement. An
                      audit includes examining, on a test basis, evidence
                      supporting the amounts and disclosures in the financial
                      statements. Our procedures included confirmation of
                      securities owned as of March 31, 1997, 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 AIM
                      Tax-Exempt Bond Fund of Connecticut as of March 31, 1997,
                      the results of its operations for the year then ended,
                      changes in its net assets for each of the years in the
                      two-year period then ended and the financial highlights
                      for each of the years in the three-year period then ended,
                      the three-month period ended March 31, 1994, and for the
                      year ended December 31, 1993, in conformity with generally
                      accepted accounting principles.
 
                                                          KPMG Peat Marwick LLP
 
                      Houston, Texas
                      May 2, 1997
 
- --------------------------------------------------------------------------------
 
SUPPLEMENTAL PROXY INFORMATION -- SHAREHOLDER MEETING
 
An annual meeting of shareholders of the Company was held on February 7, 1997.
The meeting was held for the following purposes:
 
(1) To elect directors as follows: Charles T. Bauer, Bruce L. Crockett, Owen
    Daly II, Carl Frischling, Robert H. Graham, John F. Kroeger, Lewis F.
    Pennock, Ian W. Robinson, and Louis Sklar.
 
(2) To approve a new Investment Advisory Agreement between the Company and AIM.
 
(3) To approve the elimination of the fundamental investment policy prohibiting
    or restricting investments in other investment companies and/or the
    amendment of certain related fundamental investment policies.
 
(4) Ratification of KPMG Peat Marwick LLP as independent accountants for the
    Company's fiscal year ended March 31, 1997.
 
The following votes were cast with respect to each item:
 
<TABLE>
<CAPTION>
                                                                                        Votes
                           Director/Matter                         Votes for           Against          Abstentions
                           ---------------                         ---------           -------          -----------
<S>  <C>                                                           <C>                 <C>              <C>
(1)  Charles T. Bauer............................................  29,429,450                0              563,009
     Bruce L. Crockett...........................................  29,437,312                0              555,147
     Owen Daly II................................................  29,429,450                0              563,009
     Carl Frischling.............................................  29,437,312                0              555,147
     Robert H. Graham............................................  29,437,312                0              555,147
     John F. Kroeger.............................................  29,432,862                0              559,597
     Lewis F. Pennock............................................  29,449,040                0              543,419
     Ian W. Robinson.............................................  29,431,702                0              560,757
     Louis Sklar.................................................  29,436,693                0              555,766
(2)  Approval of the new Investment Advisory Agreement...........   2,562,395           11,882              126,971
(3)  Elimination of Fundamental Investment Policy................   2,134,444           44,740              127,013
(4)  KPMG Peat Marwick LLP.......................................  28,993,166           98,416              900,876
</TABLE>
 
                                       12
<PAGE>   15
                                                            Directors & Officers

<TABLE>
<S>                                              <C>                                          <C>
Board of Directors                               Officers                                     OFFICE OF THE FUND               

Charles T. Bauer                                 Charles T. Bauer                             11 Greenway Plaza                
Chairman                                         Chairman                                     Suite 100                        
A I M Management Group Inc.                                                                   Houston, TX 77046                
                                                 Robert H. Graham                             http://www.aimfunds.com          
Bruce L. Crockett                                President                                                                     
Formerly Director, President, and                                                             INVESTMENT ADVISOR               
Chief Executive Officer                          John J. Arthur                                                                
COMSAT Corporation                               Senior Vice President and Treasurer          A I M Advisors, Inc.             
                                                                                              11 Greenway Plaza                
Owen Daly II                                     Gary T. Crum                                 Suite 100                        
Director                                         Senior Vice President                        Houston, TX 77046-1173           
Cortland Trust Inc.                                                                                                            
                                                 Carol F. Relihan                             TRANSFER AGENT                   
Jack Fields                                      Senior Vice President and Secretary                                           
Formerly Member of the                                                                        A I M Fund Services, Inc.        
U.S. House of Representatives                    Dana R. Sutton                               P.O. Box 4739                    
                                                 Vice President and Assistant Treasurer       Houston, TX 77210-4739           
Carl Frischling                                                                                                                
Partner                                          Stuart W. Coco                               CUSTODIAN                        
Kramer, Levin, Naftalis & Frankel                Vice President                                                                
                                                                                              The Bank of New York             
Robert H. Graham                                 Melville B. Cox                              90 Washington Street, 11th Floor 
President and Chief Executive Officer            Vice President                               New York, NY 10286                 
A I M Management Group Inc.                                                                                                      
                                                 Karen Dunn Kelley                            COUNSEL TO THE FUND                
John F. Kroeger                                  Vice President                                                                  
Formerly Consultant                                                                           Ballard Spahr                      
Wendell & Stockel Associates, Inc.               P. Michelle Grace                            Andrews & Ingersoll                
                                                 Assistant Secretary                          1735 Market Street                 
Lewis F. Pennock                                                                              Philadelphia, PA 19103             
Attorney                                         David L. Kite                                                                   
                                                 Assistant Secretary                          COUNSEL TO THE DIRECTORS           
Ian W. Robinson                                                                                                                  
Consultant; Former Executive Vice President and  Nancy L. Martin                              Kramer, Levin, Naftalis & Franke   
Chief Financial Officer                          Assistant Secretary                          919 Third Avenue                   
Bell Atlantic Management Services, Inc.                                                       New York, NY 10022                 
                                                 Ofelia M. Mayo                                                                  
Louis S. Sklar                                   Assistant Secretary                          DISTRIBUTOR                        
Executive Vice President                                                                                                         
Hines Interests                                  Kathleen J. Pflueger                         A I M Distributors, Inc.           
Limited Partnership                              Assistant Secretary                          11 Greenway Plaza                  
                                                                                              Suite 100                          
                                                 Samuel D. Sirko                              Houston, TX 77046-1173             
                                                 Assistant Secretary   
                                                                       
                                                 Stephen I. Winer      
                                                 Assistant Secretary   


</TABLE>
                                   
REQUIRED FEDERAL INCOME TAX INFO
                                
We are required by Internal Revenue Code to advise you within 60 days of the
Fund's fiscal year end as to the the federal tax status of dividends paid by
the Fund during its fiscal year ended March 31, 1997.
                                
AIM Tax-Exempt Bond Fund of Connecticut paid ordinary dividends in the amounts
of $0.552 per share to shareholders during the Fund's tax year ended March 31,
1997. Of this amount, 100% qualified as tax-exempt interest dividends for the
federal income tax purposes.    
                                
For the purpose of preparing your annual federal income tax returns, however,
you should report the amounts as reflected on the appropriate Form 1099-DIV.
<PAGE>   16
<TABLE>
<S>                                                                   <C>                                              
                                                                      THE AIM FAMILY OF FUNDS--Registered Trademark--  
                                                                                                                       
                                                                      AGGRESSIVE GROWTH                                
                                                                      AIM Aggressive Growth Fund*                      
                                                                      AIM Capital Development Fund                     
                                                                      AIM Constellation Fund                           
                                                                      AIM Global Aggressive Growth Fund                
                                                                                                                       
                                                                      GROWTH                                           
                                                                      AIM Blue Chip Fund                               
                                                                      AIM Global Growth Fund                           
                                                                      AIM Growth Fund                                  
                                                                      AIM International Equity Fund                    
                                                                      AIM Value Fund                                   
                                                                      AIM Weingarten Fund                              
                                                                                                                       
              [PHOTO OF                                               GROWTH AND INCOME                                
            11 Greenway Plaza                                         AIM Balanced Fund                                
              APPEARS HERE]                                           AIM Charter Fund                                 
                                                                                                                       
                                                                      INCOME AND GROWTH                                
                                                                      AIM Global Utilities Fund                        
                                                                                                                       
                                                                      HIGH CURRENT INCOME                              
                                                                      AIM High Yield Fund                              
                                                                                                                       
                                                                      CURRENT INCOME                                   
                                                                      AIM Global Income Fund                           
                                                                      AIM Income Fund                                  
                                                                                                                       
                                                                      CURRENT TAX-FREE INCOME                          
                                                                      AIM Municipal Bond Fund                          
                                                                      AIM Tax-Exempt Bond Fund of CT                   
                                                                      AIM Tax-Free Intermediate Shares                 
                                                                                                                       
                                                                      CURRENT INCOME AND HIGH DEGREE OF SAFETY         
                                                                      AIM Intermediate Government Fund        
         
                                                                      HIGH DEGREE OF SAFETY AND CURRENT INCOME         
                                                                      AIM Limited Maturity Treasury Shares             
                                                                                                                       
                                                                      STABILITY, LIQUIDITY, AND CURRENT INCOME         
                                                                      AIM Money Market Fund                            
                                                                                                                       
A I M Management Group Inc. has provided leadership in                STABILITY, LIQUIDITY, AND CURRENT TAX-FREE INCOME
the mutual fund industry since 1976 and managed                       AIM Tax-Exempt Cash Fund                         
approximately $70 billion in assets for more than 3.5 
million shareholders, including individual investors,                 *AIM Aggressive Growth Fund was closed to new investors   
corporate clients, and financial institutions, as of                  on July 18, 1995.  For  more complete information about   
May 12, 1997.  The AIM Family of Funds--Registered                    any AIM Fund(s), including sales charges and               
Trademark-- is distributed nationwide, and AIM today                  expenses, ask your financial consultant or securities     
ranks among the nation's top 15 mutual fund companies                 dealer for a free prospectus(es). Please read             
in assets under management, according to Lipper                       the prospectus(es) carefully before you invest or      
Analytical Services, Inc.                                             send money.                                            
                                               
                                               

[AIM LOGO APPEARS HERE]                                                                                    ---------------
                                                                                                              BULK RATE 
A I M Distributors, Inc.                                                                                    U.S. POSTAGE 
11 Greenway Plaza, Suite 100                                                                                    PAID 
Houston, TX 77046                                                                                            HOUSTON, TX 
                                                                                                           Permit No. 1919 
                                                                                                           ---------------
</TABLE>



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