AIM TAX EXEMPT FUNDS INC/NEW
N-30D, 1996-05-29
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<PAGE>   1
                                                        [AIM LOGO APPEARS HERE]


                                     [COLLAGE OF FINANCIAL IMAGES APPEARS HERE]


                                        AIM TAX-EXEMPT BOND FUND OF CONNECTICUT


                                                                  ANNUAL REPORT
                                                                 MARCH 31, 1996


<PAGE>   2

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.


ABOUT FUND PERFORMANCE DATA THROUGHOUT THIS REPORT: 

o    The Fund's performance is historical and reflects reinvestment of all
     distributions. Unless otherwise indicated, Fund results were computed
     without a sales charge. When sales charges are included, the Fund's
     performance reflects the 4.75% maximum sales charge.
o    For the year ended March 31, 1996, the Fund paid distributions of $0.558
     per share.
o    The distribution rate is equal to the actual distributions from investment
     income declared for the prior 30-day period, expressed as an annual
     percentage. Distribution rates may include daily dividends and short-term
     capital gains. Distribution rates shown in this report are based on
     maximum offering price.
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 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 one particular security.
o    Past performance cannot guarantee comparable future results.

ABOUT INDEXES AND OTHER PERFORMANCE BENCHMARKS CITED IN THIS REPORT:

o    The Lehman Municipal Bond Index is an unmanaged composite representing an
     approximation of the performance of investment-grade municipal bonds.
o    The Bond Buyer 40 Index is a group of 40 unmanaged municipal securities
     widely regarded by investors to be representative of the long-term
     municipal securities market. The average price of the index represents the
     simple average dollar price of the 40 bonds; the average maturity of the
     index is approximately 29 years.
o    An investment cannot be made in the indexes listed. Unless otherwise
     indicated, index results include reinvested dividends and do not reflect
     sales charges.

   This report may be distributed only to current shareholders or to persons
              who have received a current prospectus of the Fund.

<PAGE>   3
                                              
                                                                 A Message from 
                                                                 the Chairman

                    Dear Shareholder:
                 
                    AIM Tax-Exempt Bond Fund of Connecticut extended its record
   [PHOTO OF        of providing shareholders with attractive tax-exempt
Charles T. Bauer,   current income plus low volatility during the fiscal year
  Chairman of       ended March 31, 1996. The Fund's total return for the
 the Board of       period was 6.24%.
   the Fund,           As of March 31, 1996, the Fund produced a 30-day 
 APPEARS HERE]      distribution rate of 4.86% and an 30-day yield of 4.52%. 
                    Translated to taxable-equivalent yields, the Fund's 30-day
distribution rate was 8.05% and the 30-day yield was 7.48%, when adjusted for
the highest marginal federal tax rate of 39.6%.
   For Connecticut residents, the taxable-equivalent on the distribution rate
was 8.43% and the 30-day yield was 7.84%, when adjusted for the combined
highest marginal federal and Connecticut state tax rates.
   From an investment perspective, your Fund's taxable-equivalent yield
compared favorably to yields on such taxable securities as five- and 10-year
U.S. Treasury notes and 30-year U.S. Treasury bonds, which yielded 6.08%, 6.32%
and 6.67%, respectively, as of March 31, 1996.
   AIM was pleased to participate in efforts by the mutual fund industry and
the Securities and Exchange Commission during the year to improve the quality
of information provided to shareholders. We also share the industry's
commitment to create more "user-friendly" language in communications for
shareholders.
   Such measures may help you understand your investments more clearly. Still,
no publication can replace the personal service provided by your professional
financial consultant. In times of increased volatility in financial markets,
such as we have seen in recent months, it is important to remain committed to
clearly defined long-term investment goals. Many investment professionals
recommend a broadly diversified portfolio to cushion the effects of uncertain
markets.
   As the complexity of investing grows, we encourage you to rely on your
professional financial consultant to help you understand changing financial
markets. Even more important, your financial consultant can help you manage a
financial plan to meet your personal investment goals as your objectives evolve
with changes in your life.
   We are pleased to send you this report on the performance of AIM Tax-Exempt
Bond Fund of Connecticut. As always, we are ready to respond to your questions
or comments about this report. You may reach us by calling Client Services at
800-959-4246 during normal business hours. For automated account information 24
hours a day, call the AIM Investor Line toll-free at 800-246-5463.

Respectfully submitted,

/s/ CHARLES T. BAUER

Charles T. Bauer
Chairman

                             ---------------------
                              As the complexity of
                              investing grows, we
                               encourage you to
                                 rely on your
                                 professional
                             financial consultant
                                  to help you
                              understand changing
                              financial markets.
                             ---------------------

<PAGE>   4
Management's
Discussion & Analysis

 -----------------------

 Market watchers decided

that the reaction to tax-

 reform speculation had

  been overdone and the

    municipal market

 improved, particularly
 
  for higher-quality,

intermediate-term issues.

 -----------------------

A YEAR OF TRANSITION FOR MUNICIPAL SECURITIES

The reporting year that ended on March 31, 1996 was marked by changing
perspectives. For much of 1995, fixed-income markets conditions were ideal--the
economy had slowed considerably and inflation posed no threat. By the summer,
the U.S. dollar had regained its footing against major world currencies and was
climbing from record lows.
   Such conditions encouraged the Fed to reverse its strict monetary policy in
July and ease interest rates for the first time since 1992. When interest rates
decline, the value of fixed-income securities increases. By the end of 1995,
bond yields had declined during the year by as much as 200 basis points. (A
basis point is one one-hundredth of a percentage point.)
   The tax-exempt market also appreciated; however the performance on municipal
securities lagged that of taxable securities for most of the year, largely due
to the continuing debate over tax reform. Still, there were a number of
positive developments. Orange County, Calif., which had flagged market
performance since November 1994 with its pending bankruptcy, settled with its
creditors and was no longer a focus for investors. By the third quarter of
1995, market watchers decided that the reaction to tax-reform speculation had
been overdone and the municipal market improved, particularly for
higher-quality, intermediate-term issues.
   The turbulent first quarter of 1996 tried the patience of fixed-income
investors. In a move widely anticipated by analysts for months, the Fed eased
interest rates in January. Within weeks, however, reports of unexpected
improvement in such economic indicators as employment, retail sales, and
industrial production sent bond markets reeling. While the pace of economic
growth was certainly moderate and sustainable, reports of
stronger-than-expected performance diminished the likelihood that the Fed would
cut interest rates again in the near future.

YOUR INVESTMENT PORTFOLIO
With 64 holdings as of March 31, 1996, the Fund was invested across Connecticut
municipal sectors to minimize volatility caused by the changing interest rate
environment. Positions in pre-refunded and insured bonds were strong
performers. Overall, the portfolio comprised 72% revenue bonds and 28% general
obligation bonds. Premium bonds, insured bonds, and

================================================================================
PORTFOLIO COMPOSITION  (As of 3/31/96)
================================================================================

TOP 5 BOND HOLDINGS                          Number of Holdings          64

1. Connecticut St. Housing FN Auth. 7.55  
   (11/15/08)

2. Connecticut St. Dev. Auth. Poll 7.25      GENERAL OBLIGATIONS   28%
   (10/15/15)                                REVENUE               72%

3. Guam Airport Auth. Rev. 5.00
   (10/01/96)

4. Connecticut St. Special Tax Obligation 
   6.50  (10/01/12)
                                             Credit Enhanced             29%   
5. Connecticut St. Health & Education 6.88   AMT                         11    
   (7/01/09)                                 Average Maturity        13.8 Years
                                             Duration                 4.7 Years

This table represents a summary of the Fund's portfolio as of March 31, 1996.




                                       2


<PAGE>   5

                                                          Management's
                                                          Discussion & Analysis

pre-refunded bonds were emphasized to reduce price volatility. Attractive
issues in sectors such as housing, transportation, and health care helped
enhance yield. Of course, Fund holdings are subject to change as market
conditions warrant.
   At the end of the reporting period, the Fund had a weighted average maturity
of 13.8 years, and a duration of 4.7 years. The Fund was heavily-weighted in
quality issues--the portfolio weighting as of March 31, 1996, comprised
approximately 34% in securities rated AAA, and 87% of the portfolio was rated A
or better. Credit-enhanced securities, which are backed by insurance or
escrowed with U.S. Treasuries, comprised about 29% of the portfolio.
   The Fund maintained an average portfolio quality rating of AA as measured by
Standard & Poor's Corporation (S&P) and Moody's Investors Service (Moody's),
two widely known credit rating agencies. S&P and Moody ratings are historical
and are based on analysis of the credit quality of the individual municipal
securities in the Fund's portfolio.

OUTLOOK FOR THE FUTURE
As this election year unfolds, municipal bond investors have a number of
simmering pots to watch. Interest rates appear to have bottomed, at least for
the near term. Some analysts who were concerned just weeks ago about the
possibility of recession lately have begun to speculate about the renewed
strength in the economy.
   While the economy has rebounded nicely from its slowdown in the latter half
of 1995, there has been no indication that it is growing too rapidly. This
outlook was supported by Federal Reserve Bank Board Chairman Alan Greenspan in
his testimony before Congress last March when he said "the economy has
weathered recent sluggishness and is back on track for steady growth with low
inflation." A market watcher quoted recently in The Wall Street Journal
described it as a "Goldilocks economy--not too hot and not too cold."
   To date, there is still no tax-reform legislation pending before Congress,
though it continues to prompt considerable debate. Many analysts maintain that
any drastic proposals by Congress that severely diminish the tax advantages of
municipal securities would be strongly challenged by the issuers and investors.
By all appearances, any meaningful action in that direction could be years
away.
   Hopefully, less time will pass before real and constructive progress is
achieved by Congress in passing a serviceable budget. This political debate no
doubt will intensify as the November election looms.
   Like you, we are interested in such current events as the volatile political
climate, the changing economy, and the direction of interest rates. However, we
prefer to take a longer-term view. We believe the key to investing for the long
term is an ongoing focus on the Fund's primary investment philosophy, and that
is to generate optimal current tax-free income with reasonable risk.

TAX-REFORM DOUBTFUL
Dick Berry, co-manager of AIM Tax-Exempt Bond Fund of Connecticut, cites three
reasons why he believes major tax reform will not take place in the near
future:
   "First, there are no bills being considered by Congress. And if a bill is
presented, lobbying groups will muster an all-out assault on it."
   "Second, the reform most mentioned --a flat tax-- actually would result in
many lower- and middle-income workers paying higher taxes."
   "Third, it appears unlikely the federal government will raise taxes at the
same time it is shifting more and more of the spending burden to the states."

CURRENT YIELD ADVANTAGE
YIELDS AS OF 3/31/96

Bar Chart

5-Year U.S. Treasury Note*         6.08%

10-Year U.S. Treasury Note*        6.32%

30-Year U.S. Treasury Bond*        6.67%

AIM Tax-Exempt Bond Fund           7.84%
of Connecticut 30-day yield,
taxable-equivalent**

AIM Tax-Exempt Bond Fund           8.43%
of Connecticut
30-day distribution rate,
taxable-equivalent**


*Government securities, such as U.S. Treasury notes and bonds, offer a high
degree of safety and are guaranteed as to the timely payment of principal and
interest. Fund shares are not insured and their value and yield will vary with
market conditions. **Taxable-equivalent yields assume the highest marginal
federal income tax rate of 39.6% and the Connecticut tax rate of 4.5%. Source:
IRS, 1995.



                                       3
<PAGE>   6
Long-Term
Performance

AVERAGE ANNUAL TOTAL 
RETURNS (AS OF MARCH 31, 1996)

                    WITH SALES CHARGE
Since Inception (10/3/89)  6.71%
5 Years                    6.46
1 Year                     1.19*

*6.24% excluding sales charges.


GROWTH OF A $10,000 ILLUSTRATION

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 municipal bond
market. It is important to understand the difference between your Fund and an
index. Your Fund's total return includes Fund expenses and management fees. An
index measures the performance of a hypothetical portfolio. Unlike your Fund,
the index is not an actual investment; therefore there are no sales charges,
expenses, or fees. However, 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.



<TABLE>
<CAPTION>
        AIM Tax-Exempt Bond Fund of Connecticut  Lipper Connecticut Municipal Debt Category
<C>                     <C>                                     <C>    
10/3/89                 $9,524                                  $10,000
3/90                     9,789                                   10,304
3/91                    10,613                                   11,254
3/92                    11,622                                   12,380
3/93                    13,082                                   13,931
3/94                    13,560                                   14,254
3/95                    14,345                                   15,313
3/96                    15,240                                   16,596
</TABLE>

                            Past performance is no guarantee of future results.

Source: Towers Data Systems HYPO(R).

For Fund performance calculations and descriptions of indexes cited on this
page, please refer to the inside front cover.


A HISTORY OF RELATIVE STABILITY

In addition to tax efficiency, AIM Tax-Exempt Bond Fund of Connecticut
historically has achieved attractive yield with less share price volatility.*


          Tax-Exempt Bond Fund of Connecticut   Bond Buyer 40 Index
10/3/89              $10,000                           $9,000
3/90                   9,990                            9,200
3/91                  10,110                            9,120
3/92                  10,310                            9,417
3/93                  10,880                           10,007
3/94                  10,690                            9,118
3/95                  10,710                            9,106
3/96                  10,810                            9,304

All values are month-end.

Sources: Lipper Analytical Services, Inc. and Bloomberg.

*The Fund's distribution rate at net asset value versus the average
distribution rate at net asset value of all general municipal bond funds ranked
by Lipper Analytical Services, Inc. since the Fund's inception. As of 3/31/96,
the Lipper universe comprised 240 general municipal bond funds, with average
portfolio maturities of approximately 14.20 years.
               
                                       4
<PAGE>   7
 
                                                                   Financials
 
SCHEDULE OF INVESTMENTS
 
March 31, 1996
 
<TABLE>
<CAPTION>
                                                           RATING(a)                   MARKET
                                                          S&P   MOODY'S    PAR          VALUE
<S>                                                      <C>    <C>     <C>          <C>
MUNICIPAL OBLIGATIONS-98.51%

EDUCATION-11.35%

Connecticut Health and Education Facilities Authority
  (Fairfield University); Series F RB
  6.875%, 07/01/09                                       BBB+   Baa1    $1,475,000   $ 1,565,417
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (Quinnipiac College); RB
  4.90%, Series D, 07/01/98                              BBB-   -          150,000       149,015
- ------------------------------------------------------------------------------------------------
  7.25%, Series 1989 B, 07/01/99(b)(c)                   AAA    NRR        450,000       497,597
- ------------------------------------------------------------------------------------------------
Connecticut Regional School District No. 5;
  Series 1992 GO
  6.00%, 03/01/12(d)                                     AAA    Aaa        335,000       345,579
- ------------------------------------------------------------------------------------------------
Connecticut Regional School District No. 5
  (Towns of Bethany, Orange and Woodbridge); 1993
  Issue GO
  5.50%, 02/15/07(d)                                     AAA    Aaa        500,000       515,650
- ------------------------------------------------------------------------------------------------
Connecticut State Higher Education Supplemental
  Loan Authority (Family Education Loan
  Program); Series 1990 A RB
  7.50%, 11/15/10(e)                                     -      A1       1,320,000     1,391,742
- ------------------------------------------------------------------------------------------------
                                                                                       4,465,000
- ------------------------------------------------------------------------------------------------

ELECTRIC-6.13%

Connecticut Development Authority (Connecticut Power &
  Light Co.); Series 1993 A PCR
  3.30%, 09/01/28(f)(g)                                  A-1+   VMIG-1     700,000       700,000
- ------------------------------------------------------------------------------------------------
Connecticut Development Authority (New England Power
  Co.); Series 1985 Fixed Rate PCR
  7.25%, 10/15/15                                        A+     A1       1,600,000     1,713,040
- ------------------------------------------------------------------------------------------------
                                                                                       2,413,040
- ------------------------------------------------------------------------------------------------

GENERAL OBLIGATION-9.93%

Brooklyn (City of), Connecticut; Unlimited Tax GO
  5.50%, 05/01/06(d)                                     AAA    Aaa        250,000       257,793
- ------------------------------------------------------------------------------------------------
  5.70%, 05/01/08(d)                                     AAA    Aaa        250,000       259,345
- ------------------------------------------------------------------------------------------------
Cheshire (Town of), Connecticut; Series 1993 GO
  5.25%, 08/15/12                                        -      Aa         200,000       192,340
- ------------------------------------------------------------------------------------------------
Chester (Town of), Connecticut; Series 1989 GO
  7.00%, 10/01/05                                        -      A          190,000       204,670
- ------------------------------------------------------------------------------------------------
Connecticut (State of); Series 1991 A GO
  6.75%, 03/01/01(b)(c)                                  NRR    NRR        480,000       531,437
- ------------------------------------------------------------------------------------------------
Connecticut (State of) (General Purpose Public
  Improvement); GO
  6.75%, Series 1991 A, 03/01/01(b)(c)                   NRR    NRR        200,000       221,432
- ------------------------------------------------------------------------------------------------
  6.50%, Series 1992 A, 03/15/02(b)(c)                   NRR    NRR        300,000       331,461
- ------------------------------------------------------------------------------------------------
Mansfield (City of), Connecticut; Series 1990 GO
  6.00%, 06/15/07                                        -      A1         100,000       106,718
- ------------------------------------------------------------------------------------------------
  6.00%, 06/15/08                                        -      A1         100,000       105,760
- ------------------------------------------------------------------------------------------------
  6.00%, 06/15/09                                        -      A1         100,000       106,576
- ------------------------------------------------------------------------------------------------
New Britain (City of), Connecticut; Series 1992
  Various Purpose GO
  6.00%, 02/01/11(d)                                     AAA    Aaa        400,000       420,060
- ------------------------------------------------------------------------------------------------
</TABLE>
 
                                        5
<PAGE>   8
 
Financials
 
<TABLE>
<CAPTION>
                                                           RATING(a)                   MARKET
                                                          S&P   MOODY'S    PAR          VALUE
<S>                                                      <C>    <C>     <C>          <C>
GENERAL OBLIGATION-Continued

North Canaan (City of), Connecticut;
  Series 1991 GO
  6.50%, 01/15/08                                        -      A       $  125,000   $   138,588
- ------------------------------------------------------------------------------------------------
  6.50%, 01/15/09                                        -      A          125,000       138,663
- ------------------------------------------------------------------------------------------------
  6.50%, 01/15/10                                        -      A          125,000       138,361
- ------------------------------------------------------------------------------------------------
  6.50%, 01/15/11                                        -      A          125,000       137,656
- ------------------------------------------------------------------------------------------------
Somers (City of), Connecticut; Series 1990 Various
  Purpose GO
  6.00%, 12/01/10                                        -      A1         190,000       201,626
- ------------------------------------------------------------------------------------------------
Westbrook (City of), Connecticut; Series 1992 GO
  6.40%, 03/15/10(d)                                     AAA    Aaa        380,000       414,545
- ------------------------------------------------------------------------------------------------
                                                                                       3,907,031
- ------------------------------------------------------------------------------------------------

HEALTH CARE-11.54%

Connecticut Health and Education Facilities Authority
  (Bridgeport Hospital); 1992 Series A RB
  6.625%, 07/01/18(d)                                    AAA    Aaa        500,000       529,355
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (Capital Asset); Series 1989 B RB
  7.00%, 01/01/00(f)                                     A      A1         200,000       214,188
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (Danbury Hospital); 1991 Series E RB
  6.50%, 07/01/14(d)                                     AAA    Aaa        750,000       788,745
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (Middlesex Hospital); 1992 Series G RB
  6.25%, 07/01/12(d)                                     AAA    Aaa      1,100,000     1,145,837
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (New Britain Memorial Hospital); Series 1991 A RB
  7.75%, 07/01/22                                        BBB-   -          500,000       527,910
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (St. Raphael Hospital); 1993 Series H RB
  5.00%, 07/01/05(d)                                     AAA    Aaa        500,000       501,430
- ------------------------------------------------------------------------------------------------
Connecticut Health and Education Facilities Authority
  (Yale-New Haven Hospital);
  Series 1990 F RB
  7.10%, 07/01/25(d)                                     AAA    Aaa        775,000       836,039
- ------------------------------------------------------------------------------------------------
                                                                                       4,543,504
- ------------------------------------------------------------------------------------------------

HOUSING-13.43%

Connecticut Housing Development Authority
  (Housing Mortgage Finance Program); RB
  7.55%, Series 1990 B-1, 11/15/08                       AA     Aa       2,760,000     2,808,355
- ------------------------------------------------------------------------------------------------
  7.50%, Series 1990 A, 11/15/09(e)                      AA     Aa           5,000         5,186
- ------------------------------------------------------------------------------------------------
  7.00%, Series 1991 A-1, 11/15/09                       AA     Aa         450,000       470,992
- ------------------------------------------------------------------------------------------------
  6.55%, Series 1991 C, Sub-Series C-3, 11/15/13         AA     Aa         310,000       320,683
- ------------------------------------------------------------------------------------------------
  7.125%, Series 1985 F, 11/15/18                        AA     Aa         190,000       194,921
- ------------------------------------------------------------------------------------------------
Connecticut (State of) (Housing Mortgage Finance
  Program); RB
  6.00%, Series 1993 E-1, 05/15/17                       AA     Aa         675,000       669,357
- ------------------------------------------------------------------------------------------------
  6.00%, Series 1995 F-1, 05/15/17                       AA     Aa         310,000       308,506
- ------------------------------------------------------------------------------------------------
  6.70%, Series C2, 11/15/22(e)                          AA     Aa         500,000       507,125
- ------------------------------------------------------------------------------------------------
                                                                                       5,285,125
- ------------------------------------------------------------------------------------------------
</TABLE>
 
                                        6
<PAGE>   9
 
                                                                   Financials
 
<TABLE>
<CAPTION>
                                                           RATING(a)                   MARKET
                                                          S&P   MOODY'S    PAR          VALUE
<S>                                                      <C>    <C>     <C>          <C>
LEASE RENTAL-1.08%

Connecticut (State of) (Middletown Courthouse
  Facilities Project); 1991 Issue Lease-Rental Revenue
  Certificates of Participation
  6.25%, 12/15/10(d)                                     AAA    Aaa     $  400,000   $   425,288
- ------------------------------------------------------------------------------------------------

RESOURCE RECOVERY-5.78%

Connecticut State Resource Recovery Authority
  (American Ref-Fuel Co.-Southeastern Connecticut
  Project); Series 1988 A RB
  8.00%, 11/15/15(e)                                     AA-    Baa1       500,000       543,045
- ------------------------------------------------------------------------------------------------
Connecticut State Resource Recovery Authority
  (Bridgeport Resco Corp.-Ltd. Partners);
  1985 Issue RB
  8.625%, Project B, 01/01/04                            A      A          670,000       688,177
- ------------------------------------------------------------------------------------------------
  7.625%, Project A, 01/01/09                            A      A        1,000,000     1,042,700
- ------------------------------------------------------------------------------------------------
                                                                                       2,273,922
- ------------------------------------------------------------------------------------------------

TRANSPORTATION-18.59%

Connecticut State Special Tax Obligation
  (Transportation Infrastructure); RB
  5.10%, Series 1992 B, 09/01/99                         AA-    A1       1,000,000     1,018,100
- ------------------------------------------------------------------------------------------------
  6.80%, Series A, 06/01/03(b)(c)                        NRR    NRR      1,250,000     1,395,875
- ------------------------------------------------------------------------------------------------
  6.25%, Series 1991 B, 10/01/09                         AA-    A1       1,000,000     1,067,180
- ------------------------------------------------------------------------------------------------
  6.50%, Series 1991 B, 10/01/10                         AA-    A1         530,000       594,347
- ------------------------------------------------------------------------------------------------
Connecticut State Special Tax Obligation
  (Transportation Infrastructure Sales and Excise
  Tax); RB
  5.90%, Series 1991 B, 10/01/99                         AA-    A1       1,000,000     1,047,760
- ------------------------------------------------------------------------------------------------
  6.80%, Series 1989 C, 12/01/99(b)(c)                   AAA    NRR        500,000       548,655
- ------------------------------------------------------------------------------------------------
  6.50%, Series 1991 B, 10/01/12                         AA-    A1       1,500,000     1,642,410
- ------------------------------------------------------------------------------------------------
                                                                                       7,314,327
- ------------------------------------------------------------------------------------------------

WATER & SEWER-8.65%

Connecticut Development Authority (Pfizer Inc.);
  Series 1982 Refunding PCR
  6.55%, 02/15/13                                        AAA    Aaa        250,000       269,625
- ------------------------------------------------------------------------------------------------
Connecticut Development Authority Water Facility
  (Bridgeport Hydraulic Co. Project); Series 1990
  Refunding RB
  7.25%, 06/01/20                                        A+     -          800,000       866,608
- ------------------------------------------------------------------------------------------------
Connecticut State Clean Water Fund; Series 1991
  Clean Water RB
  7.00%, 01/01/11                                        AA+    Aa       1,100,000     1,215,588
- ------------------------------------------------------------------------------------------------
Manchester (City of) Connecticut Eighth Utilities Fire
  District; Series 1991 GO
  6.75%, 08/15/06                                        -      A1         180,000       202,896
- ------------------------------------------------------------------------------------------------
South Central Connecticut Regional Water
  Authority; Eighth Series 1990 A Water System RB
  6.60%, 08/01/00(b)(c)                                  NRR    NRR        250,000       274,023
- ------------------------------------------------------------------------------------------------
South Central Connecticut Regional Water
  Authority; Series 1988 Water System RB
  6.80%, 08/01/98(b)(c)                                  NRR    NRR        535,000       575,210
- ------------------------------------------------------------------------------------------------
                                                                                       3,403,950
- ------------------------------------------------------------------------------------------------
</TABLE>
 
                                        7
<PAGE>   10
 
Financials
 
<TABLE>
<CAPTION>
                                                           RATING(a)                   MARKET
                                                          S&P   MOODY'S    PAR          VALUE
<S>                                                      <C>    <C>     <C>          <C>
MISCELLANEOUS-12.03%

Connecticut Development Authority (Economic
  Development Projects); 1992 Series Refunding Bonds
  6.00%, 11/15/08                                        AA-    Aa      $  500,000   $   525,365
- ------------------------------------------------------------------------------------------------
Guam (Government of); Series 1995 A GO
  4.90%, 09/01/97                                        BBB    -          500,000       500,110
- ------------------------------------------------------------------------------------------------
  5.25%, 09/01/99                                        BBB    -          250,000       250,788
- ------------------------------------------------------------------------------------------------
  5.375%, 09/01/00                                       BBB    -          250,000       250,953
- ------------------------------------------------------------------------------------------------
Guam (Government of); Series 1994 A GO
  5.50%, 08/15/97                                        BBB    -          500,000       504,675
- ------------------------------------------------------------------------------------------------
Guam Airport Authority; Series 1993 B RB
  5.00%, 10/01/96(e)                                     BBB    -        1,700,000     1,701,547
- ------------------------------------------------------------------------------------------------
Puerto Rico Commonwealth (Highway and Transportation
  Authority); Series X RB
  5.20%, 07/01/03                                        A      Baa1     1,000,000     1,005,910
- ------------------------------------------------------------------------------------------------
                                                                                       4,739,348
- ------------------------------------------------------------------------------------------------
    TOTAL INVESTMENTS-98.51%                                                          38,770,535
- ------------------------------------------------------------------------------------------------
    OTHER ASSETS LESS LIABILITIES-1.49%                                                  584,906
- ------------------------------------------------------------------------------------------------
    NET ASSETS-100.00%                                                               $39,355,441
================================================================================================
</TABLE>
 
Abbreviations:
 
<TABLE>
<S>  <C>
GO   General Obligation Bonds
NRR  Not re-rated
PCR  Pollution Control Revenue Bonds
RB   Revenue Bonds
</TABLE>
 
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.
(g) Demand security; payable upon demand by the Fund at specified time
    intervals no greater than thirteen months. Interest rate is
    redetermined periodically. Rate shown is the rate in effect on
    March 31, 1996.
 
See Notes to Financial Statements.
 
                                        8
<PAGE>   11
 
                                                                   Financials
 
STATEMENT OF ASSETS AND LIABILITIES
 
March 31, 1996
 
<TABLE>
<S>                                                                        <C>
ASSETS:

Investments, at market value (cost $37,102,995)                            $   38,770,535
- -----------------------------------------------------------------------------------------
Receivables for:
  Capital stock sold                                                               49,322
- -----------------------------------------------------------------------------------------
  Interest                                                                        743,229
- -----------------------------------------------------------------------------------------
Investment for deferred compensation plan                                           9,092
- -----------------------------------------------------------------------------------------
Other assets                                                                        3,693
- -----------------------------------------------------------------------------------------
    Total assets                                                               39,575,871
- -----------------------------------------------------------------------------------------

LIABILITIES:

Payables for:
  Capital stock reacquired                                                         16,767
- -----------------------------------------------------------------------------------------
  Amount due to custodian bank                                                     70,225
- -----------------------------------------------------------------------------------------
  Deferred compensation                                                             9,092
- -----------------------------------------------------------------------------------------
  Dividends                                                                        64,683
- -----------------------------------------------------------------------------------------
Accrued administrative service fees                                                 3,721
- -----------------------------------------------------------------------------------------
Accrued distribution fees                                                          24,647
- -----------------------------------------------------------------------------------------
Accrued transfer agent fees                                                         2,841
- -----------------------------------------------------------------------------------------
Accrued operating expenses                                                         28,454
- -----------------------------------------------------------------------------------------
    Total liabilities                                                             220,430
- -----------------------------------------------------------------------------------------

NET ASSETS APPLICABLE TO SHARES OUTSTANDING                                $   39,355,441

- -----------------------------------------------------------------------------------------
Capital stock, $.001 par value per share:
  Authorized                                                                1,000,000,000
- -----------------------------------------------------------------------------------------
  Outstanding                                                                   3,641,266
- -----------------------------------------------------------------------------------------

NET ASSET VALUE AND REDEMPTION PRICE PER SHARE                             $        10.81

- -----------------------------------------------------------------------------------------

OFFERING PRICE PER SHARE:

  (Net asset value of $10.81 divided by 95.25%)                            $        11.35
=========================================================================================
</TABLE>
 
See Notes to Financial Statements.
 
                                        9
<PAGE>   12
 
Financials
 
STATEMENT OF OPERATIONS
 
For the year ended March 31, 1996
 
<TABLE>
<S>                                                                           <C>
INVESTMENT INCOME:

Interest income                                                               $2,308,362
- ----------------------------------------------------------------------------------------

EXPENSES:

Advisory fees                                                                    198,182
- ----------------------------------------------------------------------------------------
Custodian fees                                                                    10,438
- ----------------------------------------------------------------------------------------
Transfer agent fees                                                               30,460
- ----------------------------------------------------------------------------------------
Directors' fees                                                                    6,242
- ----------------------------------------------------------------------------------------
Distribution fees                                                                 99,095
- ----------------------------------------------------------------------------------------
Administrative services fees                                                      45,950
- ----------------------------------------------------------------------------------------
Other                                                                             69,546
- ----------------------------------------------------------------------------------------
    Total expenses                                                               459,913
- ----------------------------------------------------------------------------------------
Less expenses assumed by advisor                                                (198,182)
- ----------------------------------------------------------------------------------------
    Net expenses                                                                 261,731
- ----------------------------------------------------------------------------------------
Net investment income                                                          2,046,631
- ----------------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENT SECURITIES:

Net realized gain (loss) on sales of investment securities                       (39,012)
- ----------------------------------------------------------------------------------------
Unrealized appreciation of investment securities                                 362,769
- ----------------------------------------------------------------------------------------
    Net gain on investment securities                                            323,757
- ----------------------------------------------------------------------------------------
Net increase in net assets resulting from operations                          $2,370,388
========================================================================================
</TABLE>
 
See Notes to Financial Statements.
 
                                       10
<PAGE>   13
 
                                                                   Financials
 
STATEMENT OF CHANGES IN NET ASSETS
 
For the years ended March 31, 1996 and 1995
 
<TABLE>
<CAPTION>
                                                                     1996            1995
<S>                                                               <C>             <C>
OPERATIONS:

  Net investment income                                           $ 2,046,631     $ 2,097,384
- ---------------------------------------------------------------------------------------------
  Net realized gain (loss) on sales of investment securities          (39,012)       (127,300)
- ---------------------------------------------------------------------------------------------
  Net unrealized appreciation of investment securities                362,769         195,742
- ---------------------------------------------------------------------------------------------
    Net increase in net assets resulting from operations            2,370,388       2,165,826
- ---------------------------------------------------------------------------------------------
Distributions to shareholders from net investment income           (2,032,807)     (2,111,073)
- ---------------------------------------------------------------------------------------------
Return of capital                                                          --         (19,319)
- ---------------------------------------------------------------------------------------------
Net increase (decrease) from capital stock transactions               729,185      (4,107,391)
- ---------------------------------------------------------------------------------------------
    Net increase (decrease) in net assets                           1,066,766      (4,071,957)
- ---------------------------------------------------------------------------------------------

NET ASSETS:

  Beginning of period                                              38,288,675      42,360,632
- ---------------------------------------------------------------------------------------------
  End of period                                                   $39,355,441     $38,288,675
=============================================================================================

NET ASSETS CONSIST OF:

  Capital (par value and additional paid-in)                      $37,823,822     $37,094,637
- ---------------------------------------------------------------------------------------------
  Undistributed net investment income                                   5,077          (8,747)
- ---------------------------------------------------------------------------------------------
  Undistributed net realized gain (loss) on sales of investment
    securities                                                       (140,998)       (101,986)
- ---------------------------------------------------------------------------------------------
  Unrealized appreciation of investment securities                  1,667,540       1,304,771
- ---------------------------------------------------------------------------------------------
                                                                  $39,355,441     $38,288,675
=============================================================================================
</TABLE>
 
See Notes to Financial Statements.
 
                                       11
<PAGE>   14
 
Financials
 
NOTES TO FINANCIAL STATEMENTS
 
March 31, 1996
 
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 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 $130,061, which
   expires, if not previously utilized, through the year 2004. 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.
 
                                       12
<PAGE>   15
 
                                                                   Financials
 
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. AIM will, if necessary, reduce its fee for
any fiscal year to the extent required so that the amount of ordinary expenses
of the Fund (excluding interest, taxes, brokerage commissions and extraordinary
expenses) paid or incurred by the Fund for such fiscal year does not exceed the
applicable expense limitations imposed by the state securities regulations in
any state in which the Fund's shares are qualified for sale. During the year
ended March 31, 1996, AIM voluntarily waived advisory fees of $198,182.
  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, 1996, the Fund reimbursed
AIM $45,950 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, 1996, the Fund
paid AFS $19,600 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, 1996, the Fund paid AIM Distributors
$99,095 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 $33,891 from sales of shares of the
Fund's capital stock during the year ended March 31, 1996. 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, 1996, the Fund paid legal fees of $2,959 for
services rendered by Kramer, Levin, Naftalis, Nessen, Kamin & 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-INVESTMENT SECURITIES
 
The aggregate amount of investment securities (other than short-term securities)
purchased and sold during the year ended March 31, 1996 were $8,751,359 and
$6,205,837, respectively. The amount of unrealized appreciation (depreciation)
of investment securities as of March 31, 1996 is as follows:
 
<TABLE>
<S>                                                                           <C>
Aggregate unrealized appreciation of investment securities                    $1,723,654
- ----------------------------------------------------------------------------------------
Aggregate unrealized (depreciation) of investment securities                     (56,114)
- ----------------------------------------------------------------------------------------
Net unrealized appreciation of investment securities                          $1,667,540
========================================================================================
</TABLE>
 
Investments have the same cost for tax and financial statement purposes.
 
                                       13
<PAGE>   16
 
           Financials
 
NOTE 5-CAPITAL STOCK
 
Changes in capital stock outstanding for the years ended March 31, 1996 and 1995
were as follows:
 
<TABLE>
<CAPTION>
                                                                                1996                        1995
                                                                       ----------------------------------------------------
                                                                        SHARES       AMOUNT         SHARES        AMOUNT
                                                                       --------    -----------    ----------    -----------
<S>                                                                    <C>         <C>            <C>           <C>
Sold                                                                    555,351    $ 6,036,362       370,407    $ 3,925,610
- ---------------------------------------------------------------------------------------------------------------------------
Issued as reinvestment of dividends                                     116,353      1,264,613       129,768      1,372,166
- ---------------------------------------------------------------------------------------------------------------------------
Reacquired                                                             (603,962)    (6,571,790)     (889,770)    (9,405,167)
- ---------------------------------------------------------------------------------------------------------------------------
                                                                         67,742    $   729,185      (389,595)   $(4,107,391)
===========================================================================================================================
</TABLE>
 
NOTE 6-FINANCIAL HIGHLIGHTS
 
Shown below are the condensed financial highlights for a share of capital stock
outstanding during each of the years in the two-year period ended March 31,
1996, 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,
                                 --------------------------------      ----------------------------------------------------------
                                  1996        1995         1994         1993        1992(a)       1991         1990       1989
                                 -------     -------      -------      -------      -------      -------      -------    ------
<S>                              <C>         <C>          <C>          <C>          <C>          <C>          <C>        <C>
Net asset value, beginning of                                                                                           
  period                         $ 10.71     $ 10.69      $ 11.29      $ 10.65      $ 10.52      $ 10.07      $ 10.19    $10.00
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
Income from investment                                                                                                  
  operations:                                                                                                           
    Net investment income           0.56        0.56         0.15         0.60         0.66         0.69         0.67      0.14
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
    Net gains (losses) on                                                                                               
      securities (both                                                                                                  
      realized and unrealized)      0.10        0.04        (0.61)        0.65         0.17         0.50        (0.10)     0.16
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
        Total from investment                                                                                           
          operations                0.66        0.60        (0.46)        1.25         0.83         1.19         0.57      0.30
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
Less distributions:                                                                                                     
    Dividends from net                                                                                                  
      investment income            (0.56)      (0.57)       (0.14)       (0.60)       (0.66)       (0.69)       (0.69)    (0.11)
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
    Distributions from net                                                                                              
      realized capital gains          --          --           --        (0.01)       (0.04)       (0.05)          --        --
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
    Returns of capital                --       (0.01)          --           --                        --           --        --
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
        Total distributions        (0.56)      (0.58)       (0.14)       (0.61)       (0.70)       (0.74)       (0.69)    (0.11)
- -------------------------------  -------     -------      -------      -------      -------      -------      -------    -------
Net asset value, end of period   $ 10.81     $ 10.71      $ 10.69      $ 11.29      $ 10.65      $ 10.52      $ 10.07    $10.19
===============================  =======     =======      =======      =======      =======      =======      =======    =======
Total return(b)                     6.24%       5.78%       (4.06)%      11.99%        8.22%       12.23%        5.88%     3.06%
===============================  =======     =======      =======      =======      =======      =======      =======    =======
Ratio/supplemental data:                                                                                                
Net assets, end of period                                                                                               
  (000s omitted)                 $39,355     $38,289      $42,361      $46,224      $33,110      $27,298      $16,685    $6,556
===============================  =======     =======      =======      =======      =======      =======      =======    =======
Ratio of expenses to average                                                                                            
  net assets(c)                     0.66%(d)    0.55%        0.50%(e)     0.34%        0.25%       0.25%        0.25%      0.25%(e)
===============================  =======     =======      =======      =======      =======      =======      =======    =======
Ratio of net investment income                                                                                          
  to average net assets(c)          5.16%(d)    5.37%        5.32%(e)     5.42%        6.25%        6.73%        6.82%     6.21%(e)
===============================  =======     =======      =======      =======      =======      =======      =======    =======
Portfolio turnover rate               17%          7%           2%           5%          43%          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 1.16%, 1.13%, 1.23% (annualized), 1.30%, 1.12%, 1.26%,
    1.33%, and 1.99% (annualized) for the period 1996-89, respectively. Ratios
    of net investment income to average net assets prior to waiver of advisory
    fees and expense reimbursements are 4.66%, 4.79%, 4.59% (annualized), 4.45%,
    5.38%, 5.72%, 5.74%, and 4.48% (annualized) for the period 1996-89,
    respectively.
(d) Ratios are based on average daily net assets of $39,637,920.
(e) Annualized.
 
                                       14
<PAGE>   17
 
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, 1996, 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 two-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, 1996, 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, 1996, 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 two-year period then ended, the three-month period ended March
31, 1994, and the year ended December 31, 1993, in conformity with generally
accepted accounting principles.
 
                                                      KPMG Peat Marwick LLP
 
Houston, Texas
May 3, 1996
 
                                       15
<PAGE>   18
 
                      This page intentionally left blank.
 
                                       16
<PAGE>   19
                                                                     Directors &
                                                                        Officers

<TABLE>
<S>                               <C>                         <C>
BOARD OF DIRECTORS                OFFICERS                    OFFICE OF THE FUND       
                                                              11 Greenway Plaza        
Charles T. Bauer                  Charles T. Bauer            Suite 1919               
Chairman and                      Chairman                    Houston, TX 77046        
Chief Executive Officer                                                                
A I M Management Group Inc.       Robert H. Graham            INVESTMENT ADVISOR       
                                  President                   A I M Advisors, Inc.                              
Bruce L. Crockett                                             11 Greenway Plaza        
Director, President, and Chief    John J. Arthur              Suite 1919               
Executive Officer                 Senior Vice President       Houston, TX 77046        
COMSAT Corporation                and Treasurer               
                                                              TRANSFER AGENT                                    
Owen Daly II                      Gary T. Crum                A I M Fund Services, Inc.
Director                          Senior Vice President       P.O. Box 4739                                     
Cortland Trust Inc.                                           Houston, TX 77210-4739   
                                  Carol F. Relihan            
Carl Frischling                   Senior Vice President       CUSTODIAN                
Partner                           and Secretary               The Bank of New York                              
Kramer, Levin, Naftalis,                                      110 Washington Street    
Nessen, Kamin & Frankel           Dana R. Sutton              New York, NY 10286                                
                                  Vice President              
Robert H. Graham                  and Assistant Treasurer     COUNSEL TO THE FUND      
President and Chief                                           Ballard Spahr            
Operating Officer                 Stuart W. Coco              Andrews & Ingersoll                               
A I M Management Group Inc.       Vice President              1735 Market Street       
                                                              Philadelphia, PA 19103                            
John F. Kroeger                   Melville B. Cox             
Formerly, Consultant              Vice President              COUNSEL TO THE DIRECTORS 
Wendell & Stockel                                             Kramer, Levin, Naftalis,                          
Associates, Inc.                  Karen Dunn Kelley           Nessen, Kamin & Frankel  
                                  Vice President              919 Third Avenue                                  
Lewis F. Pennock                                              New York, NY 10022       
Attorney                          P. Michelle Grace           
                                  Assistant Secretary         DISTRIBUTOR              
Ian W. Robinson                                               A I M Distributors, Inc.                          
Consultant; Former Executive      David L. Kite               11 Greenway Plaza        
Vice President and                Assistant Secretary         Suite 1919               
Chief Financial Officer                                       Houston, TX 77046                                 
Bell Atlantic Management          Nancy L. Martin             
Services, Inc.                    Assistant Secretary         AUDITORS                 
                                                              KPMG Peat Marwick LLP                         
Louis S. Sklar                    Ofelia M. Mayo              700 Louisiana    
Executive Vice President          Assistant Secretary         NationsBank Bldg.            
Hines Interests                                               Houston, TX 77002        
Limited Partnership               Kathleen J. Pflueger                                 
                                  Assistant Secretary         
                                                              
                                  Samuel D. Sirko             
                                  Assistant Secretary         
                                                              
                                  Stephen I. Winer            
                                  Assistant Secretary     

</TABLE>


REQUIRED FEDERAL INCOME TAX INFORMATION
AIM Tax-Exempt Bond Fund of Connecticut paid ordinary dividends in the amounts
of $0.558 per share to shareholders during the Fund's tax year ended March 31,
1996. Of this amount, 100% qualified as tax-exempt interest dividends for
federal income tax purposes.

IMPORTANT TAX INFORMATION
The state of Connecticut taxes corporations on exempt-interest dividends
received from AIM Tax-Exempt Bond Fund of Connecticut. Investors should consult
their tax advisor regarding their specific situation.
<PAGE>   20

<TABLE>
<S>                                          <C>
[PHOTO OF 11 GREENWAY PLAZA APPEARS HERE]    THE AIM FAMILY OF FUNDS(R)          
                                                                                 
                                             AGGRESSIVE GROWTH                   
                                             AIM Aggressive Growth Fund*         
                                             AIM Constellation Fund              
                                             AIM Global Aggressive Growth Fund   
                                                                                 
                                             GROWTH                              
                                             AIM Global Growth Fund              
                                             AIM Growth Fund                     
                                             AIM International Equity Fund       
                                             AIM Value Fund                      
                                             AIM Weingarten Fund                 
                                                                                 
                                             GROWTH AND INCOME                   
                                             AIM Balanced Fund                   
                                             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               
                                                                                 
                                             STABILITY, LIQUIDITY, AND           
                                               CURRENT TAX-FREE INCOME           
                                             AIM Tax-Exempt Cash Fund            


                                             *AIM Aggressive Growth Fund was closed
                                             to new investors on July 18, 1995. **On
                                             May 1, 1995, AIM Utilities Fund
                                             broadened its investment strategy to
AIM Management Group has provided            permit up to 80% of its total assets to
leadership in the mutual fund industry       be invested in foreign securities, and
since 1976 and currently manages more        was renamed AIM Global Utilities Fund.
than $51 billion in assets for more          ***On September 25, 1995, AIM
than 2.3 million shareholders,               Government Securities Fund was renamed
including individual investors,              AIM Intermediate Government Fund. For
corporate clients, and financial             more complete information about any AIM
institutions. The AIM Family of              Fund(s), including sales charges and
Funds(R) is distributed nationwide, and      expenses, ask your financial consultant
AIM today ranks among the nation's top       or securities dealer for a free
20 mutual fund companies in assets           prospectus(es). Please read the
under management, according to Lipper        prospectus(es) carefully before you
Analytical Services, Inc.                    invest or send money. 
</TABLE>

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


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