KEMPER STRATEGIC MUNICIPAL INCOME TRUST
N-30D, 1998-02-02
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<PAGE>   1
 
                             [KEMPER FRONT COVER]










































<PAGE>   2
 
CONTENTS
3
ECONOMIC OVERVIEW
5
PERFORMANCE UPDATE
7
LARGEST SECTORS PORTFOLIO STATISTICS
8
PORTFOLIO OF INVESTMENTS
13
REPORT OF INDEPENDENT AUDITORS
14
FINANCIAL STATEMENTS
16
NOTES TO FINANCIAL STATEMENTS
18
FINANCIAL HIGHLIGHTS
19
DESCRIPTION OF DIVIDEND REINVESTMENT PLAN

At A GLANCE
- --------------------------------------------------------------------------------
TOTAL RETURNS FOR THE YEAR ENDED NOVEMBER 30, 1997
 
<TABLE>
<CAPTION>
                                 BASED ON    BASED ON
                                 NET ASSET    MARKET
                                   VALUE      PRICE
- --------------------------------------------------------------------------------
    <S>                          <C>         <C> 
    STRATEGIC MUNICIPAL
    INCOME TRUST                     8.28%     12.87%
- --------------------------------------------------------------------------------
</TABLE>
 
 NET ASSET VALUE AND MARKET PRICE
 
<TABLE>
<CAPTION>
                                   AS OF      AS OF
                                  11/30/97   11/30/96
- --------------------------------------------------------------------------------
    <S>                           <C>        <C>      
    NET ASSET VALUE                 $12.29     $12.14
- --------------------------------------------------------------------------------
    MARKET PRICE                    $13.06     $12.38
- --------------------------------------------------------------------------------
</TABLE>
 
 DIVIDEND REVIEW
 
 THE FOLLOWING TABLE SHOWS PER SHARE DIVIDEND AND YIELD INFORMATION FOR THE FUND
 AS OF NOVEMBER 30, 1997.
 
<TABLE>
<CAPTION>
                                  KEMPER STRATEGIC
                                     MUNICIPAL
                                    INCOME TRUST
- --------------------------------------------------------------------------------
    <S>                               <C>            
    ONE-YEAR INCOME:                  $0.8160
- --------------------------------------------------------------------------------
    NOVEMBER DIVIDEND:                 $0.068
- --------------------------------------------------------------------------------
    ANNUALIZED DISTRIBUTION
    RATE:
    (BASED ON NET ASSET VALUE)          6.64%
- --------------------------------------------------------------------------------
    ANNUALIZED DISTRIBUTION
    RATE:
    (BASED ON MARKET PRICE)             6.25%
- --------------------------------------------------------------------------------
    TAX EQUIVALENT DISTRIBUTION RATE:
    (BASED ON NET ASSET VALUE AND A
    37.1% FEDERAL INCOME TAX RATE)      10.56%
- --------------------------------------------------------------------------------
    TAX EQUIVALENT DISTRIBUTION RATE:
    (BASED ON MARKET PRICE AND A
    37.1% FEDERAL INCOME TAX RATE)       9.94%
- --------------------------------------------------------------------------------
</TABLE>
 
Terms To KNOW

Statistical Note: Current annualized distribution rate is the latest monthly
dividend shown as an annualized percentage of net asset value/market price on
the date shown. Distribution rate simply measures the level of dividends and is
not a complete measure of performance. Total return measures aggregate change in
net asset value/market price assuming reinvestment of dividends. Returns are
historical and do not represent future performance. Market price, net asset
value and returns fluctuate. Additional information concerning performance is
contained in the Financial Highlights appearing at the end of this report.
 
Income may be subject to state and local taxes and a portion of the income may
be subject to the alternative minimum tax for certain investors.
 
DURATION Duration is a measure of the interest rate sensitivity of a fixed-
income investment or portfolio. The longer the duration, the greater the
interest rate risk.
REVENUE BOND INDEX (RBI) The average yield on 25 revenue bonds with 30-year
maturities compiled by the Bond Buyer, a newspaper that reports on the municipal
bond market.
 
TOTAL RETURN A fund's total return figure measures both the net investment
income and any realized and unrealized appreciation or depreciation of the
underlying investments in its portfolio for a specified time period, assuming
the reinvestment of all dividends. It represents the aggregate percentage or
change in the value of an investment in the fund over the period. Total return
may be based upon net asset value or market price.
 
 
<PAGE>   3
ECONOMIC Overview
 
[ALLYN PHOTO]

MAUREEN F. ALLYN, A MANAGING DIRECTOR OF SCUDDER KEMPER INVESTMENTS, INC.,
SERVES AS THE FIRM'S CHIEF ECONOMIST. ALLYN GRADUATED SUMMA CUM LAUDE FROM
OAKLAND UNIVERSITY NEAR DETROIT, WITH A BACHELOR'S DEGREE IN PSYCHOLOGY. SHE
RECEIVED HER MASTER'S IN ECONOMICS, WITH A SPECIALIZATION IN INTERNATIONAL TRADE
AND FINANCE, FROM THE NEW SCHOOL FOR SOCIAL RESEARCH IN NEW YORK.
 
SCUDDER KEMPER INVESTMENTS, INC. IS THE INVESTMENT ADVISOR FOR KEMPER FUNDS. IT
IS ONE OF THE LARGEST AND MOST EXPERIENCED INVESTMENT MANAGEMENT ORGANIZATIONS
WORLDWIDE, MANAGING MORE THAN $200 BILLION IN ASSETS GLOBALLY FOR MUTUAL FUND
INVESTORS, RETIREMENT AND PENSION PLANS, INSTITUTIONAL AND CORPORATE CLIENTS,
INSURANCE COMPANIES AND PRIVATE, FAMILY AND INDIVIDUAL ACCOUNTS. IT IS ONE OF
THE 10 LARGEST MUTUAL FUND COMPANIES IN THE UNITED STATES.
        
DEAR SHAREHOLDERS,
 
We start 1998 optimistic about the long-term prospects of the U.S. economy and
financial markets but cautious about the next several months. The Asian
financial crisis that dominated the global investment environment in the second
half of 1997 promises to continue, posing significant risks to the economy and
investors. We look for the strength of the American consumer -- currently
enjoying rising real incomes, better employment opportunities, lower mortgage
rates and easy access to credit -- and the secular strength of the trend toward
capital spending on high technology to be sufficient to override the influence
of Asia on the U.S. In short, our best case scenario calls for the U.S. to
muddle through an unsettling period. As it has for several years, the country
should continue to enjoy relatively low interest rates and low inflation. But 
the new year will be different in at least two ways, both of which can be
expected to have direct bearing on investment opportunities.
 
  First, the economy should grow at a much slower pace. A slowdown in Asia will
depress capital goods spending and heighten import pricing pressure, putting a
damper on American corporations' pricing and profit growth at least through
1999. While the U.S. economy grew at an almost 4 percent rate in 1997, we look
for no better than 2 percent growth for the next two years -- with more than
half of the change attributable to the effect of the Asian fallout.
 
  Disappointing corporate profits is another given for 1998. Profits had begun
to slow last year even before the height of the Asian crisis. High current
valuations, however, seem to suggest that Wall Street has yet to recognize this.
The clash between Wall Street profit expectations and actual reported earnings
is part of the risk likely to be associated with equity investing in 1998.
Volatility, such as we experienced in 1997, should continue. In fact, the
overall market volatility is not likely to reflect the turmoil that individual
equities may experience. There will be a narrowing of the number of companies
able to meet analysts' expectations and this market will be absolutely
unforgiving to those companies that fall far short.
 
  Having stated this, however, we look for the Standard & Poor's 500 to return
about 9.5 percent, including the effect of reinvested dividends. This would be
an average return and in line with the historical long-term 10 percent return of
the stock market. On the heels of the last three 20 percent-plus return years,
an investor in 1998 may weigh the 10 percent prospect against a projected 7
percent total return on bonds and consider the difference insufficient
compensation for the inherent added risk. Adopting a more conservative posture
for the new year may be an appropriate step that you'll want to discuss with
your financial representative in the context of your long-term investing
objectives.
 
  To achieve a 9.5 percent return in 1998, the market's already high valuations
need to move even higher. We expect this to occur for a few reasons: the market
has so far demonstrated a certain complacency about the valuation levels;
American investors don't perceive there's anywhere better to go than the U.S.
equity market; and foreigners think of the U.S. market as a safe haven. All
should help support the market.
 
  Where, then, are the opportunities likely to be in 1998? Expect to see
disparate performance within industry sectors. For example, while the financial
services sector in 1997 tended to provide across-the-board strong performance,
in 1998 we expect the sector to include its share of winners and losers. Stock
selection will be key, too, to benefiting from the technology sector. Over the
long term, we are optimistic about technology and corporate America's continuing
commitment to it. It will be difficult to participate in a market return in 1998
without having some exposure to technology-based companies. One caution: Not all
technology companies will survive the year, which raises the risk of investing
in the sector.
 
  Conventional wisdom might argue in favor of remaining in the U.S. with your
investment dollars in 1998 and, more specifically, invested in small
capitalization companies with domestic lines of business. We'd challenge such
thinking as slower growth, slower inflation and even
 
<PAGE>   4
ECONOMIC OVERVIEW
 
                                  [BAR GRAPH]
 

Economic Guideposts 

Economic activity is a key influence on investment performance and shareholder
decision-making. Periods of recession or boom, inflation or deflation, credit
expansion or credit crunch have a significant impact on mutual fund
performance. 

    The following are some significant economic guideposts and their investment
rationale that may help your investment decision-making. The 10-year Treasury
rate and the prime rate are prevailing interest rates. The other data report
year-to-year percentage changes. 
        
<TABLE>
<CAPTION>
                               NOW (12/31/97)        6 MONTHS AGO        1 YEAR AGO          2 YEAR AGO
<S>                            <C>                   <C>                 <C>                 <C>
10-YEAR TREASURY RATE(1)             5.81                 6.22               6.58                 5.65
PRIME RATE(2)                        8.5                  8.5                8.25                 8.5
INFLATION RATE(3)                    1.7                  2.23               3.04                 2.72
THE U.S. DOLLAR(4)                  10.43                 7.32               4.59                -0.57
CAPITAL GOODS ORDERS(5)*            11.61                 8.58               2.23                 9.56
INDUSTRIAL PRODUCTION(5)*            5.59                 3.91               4.7                  2.34
EMPLOYMENT GROWTH(6)                 2.66                 2.3                2.41                 1.57
</TABLE>

(1)  Falling interest rates in recent years have been a big plus for financial
     assets. 

(2)  The interest rate that commercial lenders charge their best borrowers. 

(3)  Inflation reduces an investor's real return. In the last five years, 
     inflation has been as high as 6 percent. The low, moderate inflation of 
     the last few years has meant high real returns. 

(4)  Changes in the exchange value of the dollar impact U.S. exporters and the 
     value of U.S. firms' foreign profits. 

(5)  These influence corporate profits and equity performance. 

(6)  An influence on family income and retail sales. 

 *   Data as of November 30, 1997. 

Source: Economics Department, Scudder Kemper Investment, Inc. 



deflation and pricing pressures change the U.S. economic climate. The only real
antidote is growth, and from now on growth is more likely to be found outside
the United States. Today to participate in the growth from global business you'd
need to be exposed to large capitalization companies.
 
  International investing is a promising proposition in 1998, the Asian fallout
notwithstanding. In established markets, there are attractive opportunities to
be found in Europe and in Japan. Several Japanese companies have real cash flows
and even relatively attractive valuations. In addition, the effect of the Asian
problems has not been to discourage all investment into emerging markets; rather
investors have tended to divert investment dollars and business to other
increasingly attractive emerging markets in eastern Europe, the Middle East,
Africa and Latin America.
 
  With that as an economic backdrop, we encourage you to read the following
detailed report of your fund, including an interview with your fund's portfolio
management. Thank you for your continued support. We appreciate the opportunity
to serve your investment needs.
 
Sincerely,
 
/s/ Maureen Allyn
 
MAUREEN ALLYN
 
Chief Economist, Scudder Kemper Investments, Inc.
 
January 9, 1998
 
4
 
<PAGE>   5
PERFORMANCE UPDATE

[MIER PHOTO]

CHRISTOPHER MIER JOINED WHAT IS NOW SCUDDER KEMPER INVESTMENTS, INC. IN 1986 AND
IS NOW A MANAGING DIRECTOR OF SCUDDER KEMPER INVESTMENTS AND A VICE PRESIDENT
AND PORTFOLIO MANAGER OF KEMPER STRATEGIC MUNICIPAL INCOME TRUST. HE HAS BEEN
PORTFOLIO MANAGER SINCE THE FUND'S INCEPTION IN 1989. MIER RECEIVED A B.A.
DEGREE IN ECONOMICS FROM THE UNIVERSITY OF MICHIGAN AND WENT ON TO RECEIVE HIS
M.M. IN FINANCE FROM THE KELLOGG GRADUATE SCHOOL OF MANAGEMENT AT NORTHWESTERN
UNIVERSITY. HE IS A CHARTERED FINANCIAL ANALYST.
 
[BURROW PHOTO]
 
DALE BURROW HAS BEEN WITH SCUDDER KEMPER INVESTMENTS SINCE 1987 AND IS A SENIOR
VICE PRESIDENT. HE BECAME A VICE PRESIDENT AND PORTFOLIO CO-MANAGER OF THE FUND
IN 1993. BURROW RECEIVED A B.A. DEGREE FROM THE UNIVERSITY OF OKLAHOMA AND AN
M.B.A. FROM DEPAUL UNIVERSITY. HE IS A CHARTERED FINANCIAL ANALYST.

THE VIEWS EXPRESSED IN THIS REPORT REFLECT THOSE OF THE PORTFOLIO MANAGEMENT
TEAM ONLY THROUGH THE END OF THE PERIOD OF THE REPORT, AS STATED ON THE COVER.
THE MANAGERS' VIEWS ARE SUBJECT TO CHANGE AT ANY TIME, BASED ON MARKET AND
OTHER CONDITIONS.

CHRISTOPHER MIER AND DALE BURROW, KEMPER STRATEGIC MUNICIPAL INCOME TRUST
PORTFOLIO MANAGERS, DISCUSS SUCCESSFUL RESULTS FOR THE FISCAL YEAR ENDED
NOVEMBER 30, 1997, AND DESCRIBE THE INVESTMENT STRATEGY BEHIND THOSE RESULTS.
        
Q      WAS PERFORMANCE FOR THE FISCAL YEAR FAVORABLE?
 
A      Yes, we're pleased with the results. For the year ended November 30, 
1997, Kemper Strategic Municipal Income Trust had a total return of 8.28
percent, roughly in line with 8.33 percent for the average of its high yield
municipal debt category, as reported by Lipper Analytical Services, Inc.
  This fund was created to deliver a high level of tax-exempt income and not
primarily for total return (although we give the Lipper figures for information
purposes), and again, it did not disappoint shareholders this year. The fund
paid consistent monthly dividends of $0.068 ($0.816 annualized) per share to
shareholders during the year ended November 30, 1997.
 
  Based on its net asset value of $12.29, this amounts to an annual distribution
rate of 6.64 percent, compared with its Lipper peer group average of 5.98
percent. And based on the share price at fiscal year end, November 30, 1997, of
$13.06, the distribution rate is 6.25 percent, compared with its Lipper peer
group average of 5.97 percent.
 
  For an individual investor in the federal tax bracket of 37.1 percent, the
fund's tax-equivalent distribution rate on the share price at November 30, 1997
is 9.94 percent.
 
Q       SINCE THIS IS AN INCOME FUND, HOW STABLE HAS THE DIVIDEND BEEN?
 
A      Since its inception, Kemper Strategic Municipal Income Trust has never
missed a dividend payment and experienced a single decrease of 0.7 percent in
1993.
 
Q       HOW IS THE DIVIDEND VIEWED BY INVESTORS?
 
A      Many funds trade at big discounts to net asset value. Interestingly,
however, since its creation, this fund has generally traded at a share price
that is at a premium to net asset value. That premium, of one or two percent
above net asset value, is a validation from the market of the style of portfolio
management used in managing our fund. The market likes to see stability in the
dividend over a long period of time and Kemper Strategic Municipal Income Trust
provides it.
 
Q       HOW DID MARKET CONDITIONS FOR THE YEAR AFFECT INCOME?
 
A      The year began with two quarters of strong growth, and with a parallel
run-up in interest rates, which peaked in the 7 percent range in the Treasury
long bond rate in April 1997. This increase in rates was caused by fears of a
major Federal Reserve Board (the Fed) rate action, following the early December
1996 speech by Alan Greenspan, Fed Chairman, discussing the 'irrational
exuberance' in the stock market.
 
  And then a second phase began, which we are still in today, in which rates
have declined to levels even lower than before the Fed Chairman's speech. With
strong but sustainable growth in the economy, accompanied by low inflation,
investors became convinced that the 

 
 
 
                                                                               5
<PAGE>   6
PERFORMANCE UPDATE
 
lower municipal bond yields we have today are quite appropriate.
 
  The trend to lower interest rates was accentuated in late summer 1997 by the
emerging financial crisis in Southeast Asia. The banking and other problems,
which continue to cast their shadow in the West, caused a flight to quality (in
this case to the United States fixed-income markets), and a run-up in bond
prices and a commensurate decline in interest rates, to levels we haven't seen
in several years.
 
Q       IN THESE CIRCUMSTANCES, IS NOW A GOOD TIME TO INVEST IN MUNICIPAL BONDS?
 
A      Yes, for a number of reasons. First, if you compare the ratio of the
weekly revenue bond index with the long Treasury bond, municipal bonds are now
basically at their cheapest point in the last 12 months.
 
  Secondly, in general, real interest rates are high. This is demonstrated by
subtracting the trailing 12-month inflation rate (using the Consumer Price Index
or any other inflation measure) from the nominal rate of interest. In fact, at
the present point the United States offers some of the highest yields in the
world, with municipal bonds representing less credit risk than many nations.
 
  The third reason is that if you look at the broad span of interest rates over
the last 100 years, 85 percent of the time interest rates have been lower than
they are right now. Most people on the street would tell you that interest rates
seem low because they are thinking back to the early '80s and late '70s. As
people adjust to these rate levels they will realize that they are attractive in
a broader historical context.
 
  Next, taxes are still consuming more of people's incomes than they ever did,
so that there's a greater need than ever for municipal bonds, a need for
tax-exempt income.
 
  Finally, the last reason concerns asset reallocation. Since October 11, 1990,
the Standard & Poor's 500 Stock Index has gone up 223.36 percent, its largest
upward movement without a correction of 20 percent or more since Standard &
Poor's started to record market activity in 1926. After such a move, it is
prudent to consider diverting a greater percentage of portfolio capital into
bonds, since the equity portion is likely to have been enlarged relative to the
bond portion, thereby increasing portfolio risk.
 
Q       THE AVERAGE MATURITY OF YOUR PORTFOLIO AT FISCAL YEAR END WAS QUITE
LONG -- 16.1 YEARS. HOW DOES THIS TIE IN WITH YOUR OUTLOOK FOR THE MUNICIPAL
BOND MARKET?
 
A      We expect that rates will continue to decline over the short term as long
as inflation remains at present levels or lower. As mentioned earlier, adjusted
for inflation, bond yields are unusually high, and we expect rates will decline
further in response to little inflation pressure. We believe it is a good time
to buy municipal bonds.
 
 6
 
<PAGE>   7
LARGEST SECTORS

PORTFOLIO STATISTICS
 
THE FUND'S FIVE LARGEST SECTORS*
 
REPRESENTING 61 PERCENT OF THE FUND'S TOTAL NET ASSETS ON NOVEMBER 30, 1997
 
<TABLE>
<CAPTION>
 
                         HOLDINGS                PERCENT
<S>         <C>                                  <C>
- ------------------------------------------------------
1.          U.S. GOVERNMENT SECURED                22%
- ------------------------------------------------------
2.          SENIOR CARE BONDS                      13%
- ------------------------------------------------------
3.          NON-SENIOR CARE BONDS                  10%
- ------------------------------------------------------
4.          HOSPITAL BONDS                          9%
- ------------------------------------------------------
5.          INDUSTRIAL REVENUE BONDS                7%
- ------------------------------------------------------
</TABLE>
 
SECURITIES RATINGS
 
<TABLE>
<CAPTION>
 
                                               ON 11/30/97      ON 11/30/96
<S> <C>                                        <C>              <C>
    AAA                                              5%               4%
- ------------------------------------------------------------------------------------------------------
    AA                                               6                7
- ------------------------------------------------------------------------------------------------------
    A                                                1                3
- ------------------------------------------------------------------------------------------------------
    BBB                                             24               26
- ------------------------------------------------------------------------------------------------------
    BB                                               3               --
- ------------------------------------------------------------------------------------------------------
    B                                                4                2
- ------------------------------------------------------------------------------------------------------
    Not rated+                                      57               58
- ------------------------------------------------------------------------------------------------------
                                                   100%             100%
</TABLE>
 
                                  [PIE CHART]

+ These securities are not rated by S&P or Moody's, however they are rated by
  Scudder Kemper Investments, Inc. as follows: AAA 19%, A 2%, BBB 7%,
  BB 23% and B 6% for November 30, 1997, and AAA 13%, A 5%, BBB 4%,
  BB 31% and B 5% for November 30, 1996.
 
The ratings of Standard & Poor's corporation (S&P) and Moody's Investors
Services, Inc. (Moody's) represent their opinions as to the quality of
securities that they undertake to rate. The percentage shown reflects the 
higher of Moody's or S&P ratings. Portfolio composition will change over time.
Ratings are relative and subjective and not absolute standards of quality.
 
AVERAGE MATURITY
 
<TABLE>
<CAPTION>
 
                                            ON 11/30/97      ON 11/30/96
<S>                                        <C>              <C>
Average Maturity                            16.1 years       16.9 years
- -------------------------------------------------------------------------
</TABLE>
 
* Portfolio holdings and composition are subject to change.
 
                                                                               7
 
<PAGE>   8
PORTFOLIO OF INVESTMENTS
 
KEMPER STRATEGIC MUNICIPAL INCOME TRUST
 
Portfolio of Investments at November 30, 1997
 
(Dollars in Thousands)
 
<TABLE>
<CAPTION>
 
      ISSUER                                                                                  PRINCIPAL AMOUNT    VALUE
<S>                                      <C>                                                  <C>                 <C>
 
ADVANCED REFUNDED OBLIGATIONS SECURED AS TO PRINCIPAL
AND INTEREST BY UNITED STATES GOVERNMENT SECURITIES
- --------------------------------------------------------------------------------------------------------------------------
                                         Indianapolis, IN, Local Public Improvement Bond
                                           Bank, Rev., 8.50%, to be called 2-01-98 @ 102      $ 3,000             $  3,083
                                         Jefferson County, KY, Pollution Control, Louisville
                                           Gas & Electric Co. Proj., Rev., 7.75%, to be
                                           called 2-01-98 @ 102                                 1,500                1,540
                                         Greater Orlando, FL, Aviation Auth., Airport
                                           Facilities Rev., 8.00%, to be called 10-01-98 @
                                           102                                                     70                   74
                                         New York City, NY, Gen. Oblg., 7.50%, to be called
                                           8-15-99 @ 101.50                                       420                  450
                                         Cuyahoga County, OH, Health Care Facilities, Judson
                                           Retirement Community Center, Rev., 8.875%, to be
                                           called 11-15-99 @ 103                                2,500                2,788
                                         Marion County, OH, Health Care Facilities, United
                                           Church Homes, Inc., Rev., 8.875%, to be called
                                           12-01-99 @ 103                                       2,780                3,106
                                         Health Facilities Auth., IL, Bethany Home and
                                           Hospital of the Methodist Church, Rev., 8.625%,
                                           to be called 2-15-00 @ 102                           2,395                2,663
                                         Volusia County, FL, Health Facilities Auth.,
                                           Memorial Health Systems Proj., Rev., 8.25%, to be
                                           called 6-01-00 @ 102                                 2,390                2,662
                                         Woodward Municipal Auth., OK, Hospital Rev., 9.25%,
                                           to be called 11-01-00 @ 102                          1,750                2,018
                                         Itasca, IL, Central Manufacturing District, Special
                                           Service Area, Rev., 8.375%, to be called 12-01-00
                                           @ 102                                                2,480                2,815
                                         Greene County, PA, Gen. Oblg., 8.75% to be called
                                           12-01-00 @ 100                                       1,770                1,990
                                         Medical Care Facilities Finance Agcy., NY, Rev.,
                                           7.30%, to be called 8-15-01 @ 102                       40                   45
                                         City and County of Denver, CO, Airport System Rev.,
                                           8.75%, to be called 11-15-01 @ 102                     265                  312
                                           8.00%, to be called 11-15-01 @ 100                     240                  272
                                         Chicago, IL, Tax Increment Allocation, Central
                                           Station Proj., Rev., 8.90%, to be called 1-01-02
                                           @ 102                                                2,100                2,536
                                         City and County of Denver, CO, Airport System Rev.,
                                           7.50%, to be called 11-15-04 @ 102                     170                  203
                                         Arapahoe County, CO, Capital Improvement Trust
                                           Fund, Rev., zero coupon, to be called 8-31-05 @
                                           71.45                                                5,000                2,506
                                         ---------------------------------------------------------------------------------
                                         TOTAL ADVANCED REFUNDED OBLIGATIONS--22.2%
                                         (Cost: $25,791)                                                            29,063
                                         ---------------------------------------------------------------------------------
</TABLE>
 
 8
 
<PAGE>   9
PORTFOLIO OF INVESTMENTS
 
<TABLE>
<CAPTION>
(Dollars in Thousands)
   ISSUER                                                                                   PRINCIPAL
                                                                                               AMOUNT   VALUE
<S>                                      <C>                                                  <C>       <C>     
 
OTHER MUNICIPAL OBLIGATIONS
- ----------------------------------------------------------------------------------------------------------------
ILLINOIS--7.4%                           Chicago, O'Hare International Airport,
                                           International Terminal, Special Rev., 8.20%, 2024  $ 1,200   $  1,451
                                         Harvard, Multifamily Housing, Northfield Court
                                           Proj., Rev., 9.50%, 2006                             1,955      2,116
                                         Lombard, Tax Increment Rev., 8.80%, 2004               1,625      1,784
                                         St. Charles, Multifamily Housing, Wessel Court
                                           Proj., Rev., 7.60%, 2024                             1,960      2,032
                                         Village of University Park, Tax Increment,
                                           Governors Gateway Industrial Park, Rev., 8.50%,
                                           2011                                                 1,970      2,251
                                         -----------------------------------------------------------------------
                                                                                                           9,634
- ----------------------------------------------------------------------------------------------------------------
INDIANA--5.5%                            Fishers, Economic Dev. Auth., Indianapolis Water
                                           Co. Proj., Rev., 7.875%, 2019                          685        704
                                         Health Facilities Finance Auth., Fayette Memorial
                                           Hospital Proj., Rev., 7.20%, 2022                    2,800      3,001
                                         Housing Finance Auth., Residential Mortgage, Rev.,
                                           8.375%, 2020                                         1,395      1,450
                                         Indianapolis Airport Auth., United Air Lines, Inc.
                                           Proj., Rev., 6.50%, 2031                             1,900      2,032
                                         -----------------------------------------------------------------------
                                                                                                           7,187
- ----------------------------------------------------------------------------------------------------------------
ARIZONA--5.4%                            Coconino County, Industrial Dev. Auth., The
                                           Guidance Center, Inc. Proj., Rev., 9.25%, 2011       1,770      1,979
                                         Health Facilities Auth., The New Foundation Proj.,
                                           Rev., 8.25%, 2019                                    2,415      2,626
                                         Pima County Industrial Dev. Auth., Larson Co.
                                           Proj., Rev., 9.50%, 2010                             2,100      2,434
                                         -----------------------------------------------------------------------
                                                                                                           7,039
- ----------------------------------------------------------------------------------------------------------------
PENNSYLVANIA--5.1%                       Columbia County, Industrial Dev. Auth., First
                                           Mortgage, First Street Association Proj., Rev.,
                                           9.00%, 2014                                          1,890      2,104
                                         Higher Educational Facilities Auth., Philadelphia
                                           College of Textiles & Science, Rev., 6.70%, 2014     2,000      2,153
                                         Lehigh County General Purpose Auth., Wiley House,
                                           Rev., 8.65%, 2004                                    2,345      2,454
                                         -----------------------------------------------------------------------
                                                                                                           6,711
- ----------------------------------------------------------------------------------------------------------------
FLORIDA--5.1%                            Greater Orlando Aviation Auth., Airport Facilities,
                                           Rev., 8.00%, 2018                                      625        655
                                         Manatee County, First Mortgage, Meditrust Proj.,
                                           Rev., 7.35%, 2015                                    1,730      1,955
                                         Martin County Industrial Dev. Auth., Indiantown
                                           Congeneration L.P. Proj., Rev., 7.875%, 2025         1,500      1,746
                                         Nassau County, Amelia Island Care Center Proj.,
                                           Rev., 9.75%, 2023                                    1,980      2,303
                                         -----------------------------------------------------------------------
                                                                                                           6,659
</TABLE>
 
                                                                               9
 
<PAGE>   10
PORTFOLIO OF INVESTMENTS
 
<TABLE>
<CAPTION>
(Dollars in Thousands)
<S>                                      <C>                                                  <C>       <C>      
   ISSUER                                                                                   PRINCIPAL
                                                                                               AMOUNT     VALUE
<->                                      Albuquerque Nursing Home, West Mesa Center Proj.,
NEW MEXICO--4.8%                           Rev., 9.75%, 2014                                  $ 1,375   $  1,458
                                         Farmington, Pollution Control, San Juan Proj.,
                                           Rev., 6.30% and 6.95%, 2016 and 2020                 3,500      3,806
                                         Truth or Consequences Nursing Home, Sierra Health
                                           Care, Inc., Rev., 9.75%, 2014                          915        954
                                         -----------------------------------------------------------------------
                                                                                                           6,218
- ----------------------------------------------------------------------------------------------------------------
CALIFORNIA--4.1%                         Foothill/Eastern Transportation Corridor Agcy.,
                                           Toll Road Rev., zero coupon, 2026                   11,500      2,375
                                         Sacramento County, Bradshaw Road Proj., Rev.,
                                           7.20%, 2015                                          1,225      1,266
                                         San Diego, Detention Facility, Certificates of
                                           Participation, 8.00%, 2002                             375        407
                                         San Joaquin Hills Transportation Corridor Agcy.,
                                           Senior Lien Toll Road Rev., zero coupon, 2020        4,300      1,350
                                         -----------------------------------------------------------------------
                                                                                                           5,398
- ----------------------------------------------------------------------------------------------------------------
NEW YORK--4.0%                           Medical Care Facilities Finance Agcy., Rev. 7.30%,
                                           2021                                                    20         22
                                         Metropolitan Transit Auth., Commuter Facilities,
                                           Rev., 5.50%, 2021                                      200        198
                                         New York City, Gen. Oblg., 7.00% and 7.50%, 2010       2,045      2,160
                                         Port Auth. of New York and New Jersey, LaGuardia
                                           Airport Passenger Terminal, Rev., 9.125%, 2015       2,500      2,833
                                         -----------------------------------------------------------------------
                                                                                                           5,213
- ----------------------------------------------------------------------------------------------------------------
MISSOURI--3.8%                           St. Louis, Tax Increment, Scullin Redev. Proj.,
                                           Rev., 10.00%, 2010                                   2,205      2,769
                                         West Plains, Industrial Dev. Auth., Ozarks Medical
                                           Center Proj. Rev., 8.625%, 2020                      1,970      2,150
                                         -----------------------------------------------------------------------
                                                                                                           4,919
- ----------------------------------------------------------------------------------------------------------------
IOWA--3.3%                               Finance Auth., Healthcare Facilities, On With Life,
                                           Inc. Proj., Rev., 7.25%, 2015                        2,000      2,139
                                         Lake City, Health Care Facility, Opportunity Living
                                           Proj., Rev., 10.00%, 2015                            2,000      2,144
                                         -----------------------------------------------------------------------
                                                                                                           4,283
- ----------------------------------------------------------------------------------------------------------------
CONNECTICUT--3.2%                        Dev. Auth., Pierce Memorial Baptist Home, Inc.
                                           Proj., Rev., 9.25%, 2018                             2,000      2,201
                                         Greenwich Housing Auth., Multifamily Housing Rev.,
                                           6.35%, 2027                                          2,000      2,018
                                         -----------------------------------------------------------------------
                                                                                                           4,219
- ----------------------------------------------------------------------------------------------------------------
TEXAS--3.2%                              Brazos River Auth., Collateralized Pollution
                                           Control, Utilities Electric Co. Proj., Rev.,
                                           8.25%, 2019                                          2,000      2,115
                                         Houston, Airport System Special Facilities,
                                           Continental Airlines, Inc., Improvement Projs.,
                                           Rev., 6.125%, 2027                                   2,000      2,070
                                         -----------------------------------------------------------------------
                                                                                                           4,185
</TABLE>
 
 10
 
<PAGE>   11
PORTFOLIO OF INVESTMENTS
 
<TABLE>
<CAPTION>
(Dollars in Thousands)
<S>                                      <C>                                                  <C>         <C>
   ISSUER                                      Amount                                         Principal   Value
                                                                                                   
<->                                      Housing Finance Agcy., Single Family Mortgage Rev.,
MINNESOTA--3.0%                            7.95%, 2022                                        $ 1,850   $  1,958
                                         Sauk Rapids, Industrial Dev., Gold N Plump Poultry
                                           Proj., Rev., 9.50%, 2005                             1,870      1,986
                                         ---------------------------------------------------------------------------
                                                                                                           3,944
- --------------------------------------------------------------------------------------------------------------------
MICHIGAN--2.5%                           Gogebic County, Hospital Finance Auth., Grand View
                                           Hospital Proj., Rev., 8.75%, 2016                    2,250      2,455
                                         Madison Heights, Tax Increment Finance Auth., Rev.,
                                           8.50%, 2001                                            710        759
                                         ---------------------------------------------------------------------------
                                                                                                           3,214
- --------------------------------------------------------------------------------------------------------------------
NEVADA--2.1%                             Housing Division, Single Family Mortgage Program,
                                           Rev., 7.90% and 6.50%, 2021 and 2028                 2,610      2,749
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
COLORADO--1.9%                           City and County of Denver, Airport System Rev.,
                                           7.50% to 8.75%, 2023 through 2025                    2,225      2,538
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
MASSACHUSETTS--1.7%                      Worcester, Briarwood Retirement Community, Salem
                                           Community Corp., Rev., 9.25%, 2022                   1,985      2,230
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
NEW HAMPSHIRE--1.6%                      Higher Educational and Health Facilities Auth.,
                                           United Church of Christ-Havenwood, Rev., 7.45%,
                                           2025                                                 2,000      2,127
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
SOUTH CAROLINA--1.2%                     Aiken County, Hospital Facilities, Mattie C. Hall
                                           Health Care Center Proj., Rev., 8.625%, 2010         1,500      1,562
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
UTAH--1.2%                               Housing Finance Agcy., Single Family Mortgage Rev.,
                                           6.65%, 2026                                          1,455      1,547
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
OKLAHOMA--1.1%                           Woodward Municipal Auth., Hospital Rev., 8.50%,
                                           2014                                                 1,335      1,509
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
MARYLAND--1.1%                           Health & Higher Educational Facilities Auth.,
                                           Doctors Community Hospital Proj., Rev., 5.50%,
                                           2024                                                 1,500      1,479
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
NEW JERSEY--1.1%                         Economic Dev. Auth., Rev., 5.875%, 2026                  200        205
                                         Educational Facilities Auth., Caldwell College,
                                           Rev., 7.25%, 2025                                    1,100      1,190
                                         ---------------------------------------------------------------------------
                                                                                                           1,395
</TABLE>
 
                                                                              11
 
<PAGE>   12
PORTFOLIO OF INVESTMENTS
 
<TABLE>
<CAPTION>
(Dollars in Thousands)
<S>                                      <C>                                                  <C>       <C>      
   ISSUER                                                                                     PRINCIPAL
                                                                                                 AMOUNT       VALUE
<->                                      NE, Investment Finance Auth., Single Family Housing
STATES LESS THAN                           Rev., 6.70%, 2026                                  $   500   $    531
ONE PERCENT--1.9%                        ND, Housing Finance Agcy., Single Family Mortgage
                                           Rev., 8.375%, 2021                                     820        861
                                         WI, Health & Educational Facilities Auth., Rev.,
                                           6.35%, 2017                                            600        606
                                         WI, Housing & Economic Dev. Auth., Home Ownership,
                                           Rev., 6.20%, 2027                                      500        521
                                         ---------------------------------------------------------------------------
                                                                                                           2,519
                                         ---------------------------------------------------------------------------
                                         TOTAL OTHER MUNICIPAL OBLIGATIONS--75.3%
                                         (Cost: $88,976)                                                  98,478
                                         ===========================================================================
                                         TOTAL MUNICIPAL OBLIGATIONS--97.5%
                                         (Cost: $114,767)                                                127,541
                                         ---------------------------------------------------------------------------
- --------------------------------------------------------------------------------------------------------------------
MONEY MARKET                             Yield--4.10%
INSTRUMENTS--.8%
                                         Due--December, 1997
                                         (Cost: $1,100)                                         1,100      1,100
                                         ---------------------------------------------------------------------------
                                         TOTAL INVESTMENTS--98.3%
                                         (Cost: $115,867)                                                128,641
                                         ---------------------------------------------------------------------------
                                         CASH AND OTHER ASSETS, LESS LIABILITIES--1.7%                     2,254
                                         ---------------------------------------------------------------------------
                                         NET ASSETS--100%                                               $130,895
                                         ---------------------------------------------------------------------------
</TABLE>
 
NOTE TO PORTFOLIO OF INVESTMENTS
 
Based on the cost of investments of $115,867,000 for federal income tax purposes
at November 30, 1997, the gross unrealized appreciation on investments was
$12,774,000 and there was no gross unrealized depreciation.
 
See accompanying Notes to Financial Statements.
 
 12
 
<PAGE>   13
REPORT OF INDEPENDENT AUDITORS
 
THE BOARD OF TRUSTEES AND SHAREHOLDERS
 
KEMPER STRATEGIC MUNICIPAL INCOME TRUST
 
  We have audited the accompanying statement of assets and liabilities,
including the portfolio of investments, of Kemper Strategic Municipal Income
Trust as of November 30, 1997, and the related statements of operations for the
year then ended and changes in net assets for each of the two years in the
period then ended, and the financial highlights for each of the fiscal periods
since 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 financial highlights based on our
audits.
 
  We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of investments owned as of
November 30, 1997, by correspondence with the custodian and brokers. An audit
also includes assessing the accounting principles used and significant estimates
made by management, as well as evaluating the overall financial statement
presentation. We believe that our audits provide a reasonable basis for our
opinion.
 
  In our opinion, the financial statements and financial highlights referred to
above present fairly, in all material respects, the financial position of Kemper
Strategic Municipal Income Trust at November 30, 1997, the results of its
operations for the year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the fiscal years since 1993, in conformity with generally accepted accounting
principles.
 
                                                               ERNST & YOUNG LLP
 
                                          Chicago, Illinois
                                          January 20, 1998
 
                                                                              13
 
<PAGE>   14
FINANCIAL STATEMENTS
 
STATEMENT OF ASSETS AND LIABILITIES
 
November 30, 1997
 
(in thousands)
 
<TABLE>
<S>                                                             <C>
ASSETS
Investments, at value
(Cost: $115,867)                                                $128,641
- ------------------------------------------------------------------------
Interest receivable                                                2,864
- ------------------------------------------------------------------------
    TOTAL ASSETS                                                 131,505
- ------------------------------------------------------------------------

LIABILITIES AND NET ASSETS
Cash overdraft                                                       517
- ------------------------------------------------------------------------
Payable for:
  Management fee                                                      65
- ------------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses               8
- ------------------------------------------------------------------------
  Trustees' fees and other                                            20
- ------------------------------------------------------------------------
    Total liabilities                                                610
- ------------------------------------------------------------------------
NET ASSETS                                                      $130,895

- ------------------------------------------------------------------------
ANALYSIS OF NET ASSETS
Paid-in capital                                                 $118,445
- ------------------------------------------------------------------------
Accumulated net realized loss on investments                        (526)
- ------------------------------------------------------------------------
Unrealized appreciation on investments                            12,774
- ------------------------------------------------------------------------
Undistributed net investment income                                  202
- ------------------------------------------------------------------------
NET ASSETS APPLICABLE TO SHARES OUTSTANDING                     $130,895
- ------------------------------------------------------------------------
NET ASSET VALUE PER SHARE, $.01 PAR VALUE
($130,895 / 10,649 shares outstanding)                            $12.29
- ------------------------------------------------------------------------
</TABLE>
 
 14
 
<PAGE>   15
FINANCIAL STATEMENTS
 
STATEMENT OF OPERATIONS
 
Year ended November 30, 1997
 
(in thousands)
 
<TABLE>
<S>                                                             <C>
NET INVESTMENT INCOME
Interest income                                                 $ 9,493
- -----------------------------------------------------------------------
Expenses:
  Management fee                                                    772
- -----------------------------------------------------------------------
  Custodian and transfer agent fees and related expenses             87
- -----------------------------------------------------------------------
  Professional fees                                                  45
- -----------------------------------------------------------------------
  Reports to shareholders                                            21
- -----------------------------------------------------------------------
  Trustees' fees and other                                           56
- -----------------------------------------------------------------------
    Total expenses                                                  981
- -----------------------------------------------------------------------
NET INVESTMENT INCOME                                             8,512
- -----------------------------------------------------------------------

 NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS
  Net realized gain on sales of investments                         127
- -----------------------------------------------------------------------
  Net realized loss from futures transactions                       (68)
- -----------------------------------------------------------------------
    Net realized gain                                                59
- -----------------------------------------------------------------------
  Change in net unrealized appreciation on investments            1,650
- -----------------------------------------------------------------------
Net gain on investments                                           1,709
- -----------------------------------------------------------------------
NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS            $10,221
- -----------------------------------------------------------------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
 
(in thousands)
 
<TABLE>
<CAPTION>
                                                                  YEAR ENDED NOVEMBER 30,
                                                                  1997               1996
<S>                                                             <C>                 <C>
OPERATIONS, DIVIDENDS AND CAPITAL SHARE ACTIVITY
  Net investment income                                         $  8,512              8,636
- -------------------------------------------------------------------------------------------
  Net realized gain                                                   59                328
- -------------------------------------------------------------------------------------------
  Change in net unrealized appreciation (depreciation)             1,650               (882)
- -------------------------------------------------------------------------------------------
Net increase in net assets resulting from operations              10,221              8,082
- -------------------------------------------------------------------------------------------
Distribution from net investment income                           (8,695)            (8,611)
- -------------------------------------------------------------------------------------------
Proceeds from shares issued in reinvestment of dividends
(90 shares and 74 shares, respectively)                            1,135                919
- -------------------------------------------------------------------------------------------
TOTAL INCREASE IN NET ASSETS                                       2,661                390
- -------------------------------------------------------------------------------------------

 NET ASSETS
Beginning of year                                                128,234            127,844
- -------------------------------------------------------------------------------------------
END OF YEAR (including undistributed
net investment income of
$202 and $399, respectively)                                    $130,895            128,234
- -------------------------------------------------------------------------------------------
</TABLE>
 
See accompanying Notes to Financial Statements.
 
                                                                              15
 
<PAGE>   16
NOTES TO FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
1
     SIGNIFICANT             DESCRIPTION OF FUND. Kemper Strategic Municipal
     ACCOUNTING POLICIES     Income Trust (the Fund) is registered under the
                             Investment Company Act of 1940 as a
                             non-diversified, closed-end management investment
                             company.
 
                             INVESTMENT VALUATION. Investments are stated at
                             value. Fixed income securities are valued by using
                             market quotations, or independent pricing services
                             that use prices provided by market makers or
                             estimates of market values obtained from yield data
                             relating to instruments or securities with similar
                             characteristics. Financial futures and options are
                             valued at the settlement price established each day
                             by the board of trade or exchange on which they are
                             traded. Over-the-counter traded options are valued
                             based upon prices provided by market makers. Other
                             securities and assets are valued at fair value as
                             determined in good faith by the Board of Trustees.
 
                             INVESTMENT TRANSACTIONS AND INVESTMENT
                             INCOME. Investment transactions are accounted for
                             on the trade date (date the order to buy or sell is
                             executed). Interest income is recorded on the
                             accrual basis and includes premium and original
                             issue discount amortization on fixed income
                             securities. Realized gains and losses from
                             investment transactions are reported on an
                             identified cost basis.
 
                             FEDERAL INCOME TAXES. The Fund has complied with
                             the special provisions of the Internal Revenue Code
                             available to investment companies and therefore no
                             federal income tax provision is required. The
                             accumulated net realized loss on sales of
                             investments for federal income tax purposes at
                             November 30, 1997, amounting to approximately
                             $223,000, is available to offset future taxable
                             gains. If not applied, the loss carryover expires
                             during the period 2002 through 2004.
 
                             DIVIDENDS TO SHAREHOLDERS. The Fund declares and
                             pays dividends of net investment income monthly and
                             any net realized capital gains annually, which are
                             recorded on the ex-dividend date. Dividends are
                             determined in accordance with income tax principles
                             which may treat certain transactions differently
                             from generally accepted accounting principles.
 
- --------------------------------------------------------------------------------
2
     TRANSACTIONS WITH       INVESTMENT MANAGER COMBINATION. Zurich Insurance
     AFFILIATES              Company, the parent of Zurich Kemper Investments,
                             Inc. (ZKI), has acquired a majority interest in
                             Scudder, Stevens & Clark, Inc. (Scudder), another
                             major investment manager. At completion of this
                             transaction on December 31, 1997, Scudder changed
                             its name to Scudder Kemper Investments, Inc.
                             (Scudder Kemper) and the operations of ZKI were
                             combined with Scudder Kemper. In addition, the name
                             of the Fund's shareholder service agent was changed
                             to Kemper Service Company (KSvC).
 
                             MANAGEMENT AGREEMENT. The Fund has a management
                             agreement with Scudder Kemper and pays a management
                             fee at an annual rate of .60% of average weekly net
                             assets. The Fund incurred a management fee of
                             $772,000 for the year ended November 30, 1997.
 
                             SHAREHOLDER SERVICES AGREEMENT. Pursuant to a
                             services agreement with the Fund's transfer agent,
                             KSvC is the shareholder service agent of the Fund.
                             Under the agreement, KSvC received shareholder
                             services fees of $24,000 for the year ended
                             November 30, 1997.
 
 16
 
<PAGE>   17
NOTES TO FINANCIAL STATEMENTS

 
                             OFFICERS AND TRUSTEES. Certain officers or trustees
                             of the Fund are also officers or directors of
                             Scudder Kemper. During the year ended November 30,
                             1997, the Fund made no direct payments to its
                             officers and incurred trustees' fees of $17,000 to
                             independent trustees.
 
- --------------------------------------------------------------------------------
3
     INVESTMENT              For the year ended November 30, 1997, investment
     TRANSACTIONS            transactions (excluding short-term instruments) are
                             as follows (in thousands):
 
                             Purchases                                   $25,755
 
                             Proceeds from sales                          24,520
 












































                                                                              17
 
<PAGE>   18
FINANCIAL HIGHLIGHTS
 
<TABLE>
<CAPTION>
                                                                  YEAR ENDED NOVEMBER 30,
                                                    ----------------------------------------------------
                                                      1997      1996      1995      1994      1993
<S>                                                 <C>        <C>       <C>       <C>       <C>     <C>
 PER SHARE OPERATING PERFORMANCE
Net asset value, beginning of year                    $12.14     12.19     11.54     12.36     11.86
- --------------------------------------------------------------------------------------------------------
Income from investment operations:
  Net investment income                                  .80       .82       .83       .83       .83
- --------------------------------------------------------------------------------------------------------
  Net realized and unrealized gain (loss)                .17      (.05)      .64      (.80)      .58
- --------------------------------------------------------------------------------------------------------
Total from investment operations                         .97       .77      1.47       .03      1.41
- --------------------------------------------------------------------------------------------------------
Less dividends:
  Distribution from net investment income                .82       .82       .82       .82       .89
- --------------------------------------------------------------------------------------------------------
  Distribution from net realized gain                     --        --        --       .03       .02
- --------------------------------------------------------------------------------------------------------
Total dividends                                          .82       .82       .82       .85       .91
- --------------------------------------------------------------------------------------------------------
Net asset value, end of year                          $12.29     12.14     12.19     11.54     12.36
- --------------------------------------------------------------------------------------------------------
MARKET VALUE, END OF YEAR                             $13.06     12.38     12.13     11.63     12.38
- --------------------------------------------------------------------------------------------------------

 TOTAL RETURN
Based on net asset value                                8.28%     6.58     13.09       .12     12.32
- --------------------------------------------------------------------------------------------------------
Based on market value                                  12.87%     9.19     11.70       .74      9.99
- --------------------------------------------------------------------------------------------------------

 RATIOS TO AVERAGE NET ASSETS
Expenses                                                 .76%      .74       .76       .75       .74
- --------------------------------------------------------------------------------------------------------
Net investment income                                   6.62%     6.82      6.97      6.92      6.87
- --------------------------------------------------------------------------------------------------------

 SUPPLEMENTAL DATA
Net assets at end of year (in thousands)            $130,895   128,234   127,844   120,689   128,564
- --------------------------------------------------------------------------------------------------------
Portfolio turnover rate                                   13%       31         8        11         8
- --------------------------------------------------------------------------------------------------------
</TABLE>
 
NOTE: Total return based on net asset value reflects changes in the Fund's net
      asset value during the year. Total return based on market value reflects
      changes in market value. Each figure includes reinvestment of dividends.
      These figures will differ depending upon the level of any discount from or
      premium to net asset value at which the Fund's shares trade during the
      year.
 
FEDERAL TAX STATUS OF 1997 DIVIDENDS
     All of the dividends paid from net investment income by the Fund constitute
     tax-exempt interest that is not taxable for federal income tax purposes;
     however, a portion of the dividends paid may be includable in the
     alternative minimum tax calculation.
 
 18
 
<PAGE>   19
DESCRIPTION OF DIVIDEND REINVESTMENT PLAN
 
- --------------------------------------------------------------------------------
1     PARTICIPATION          We invite you to review the description of the
                             Dividend Reinvestment Plan (the "Plan") which is
                             available to you as a shareholder of KEMPER
                             STRATEGIC MUNICIPAL INCOME TRUST (the "Fund"). If
                             you wish to participate and your shares are held in
                             your own name, simply contact Kemper Service
                             Company, whose address and phone number are
                             provided in Paragraph 4 for the appropriate form.
                             If your shares are held in the name of a brokerage
                             firm, bank, or other nominee, you must instruct
                             that nominee to re-register your shares in your
                             name so that you may participate in the Plan,
                             unless your nominee has made the Plan available on
                             shares held by them. Shareholders who so elect will
                             be deemed to have appointed United Missouri Bank,
                             n.a. ("UMB") as their agent and as agent for the
                             Fund under the Plan.
 
- --------------------------------------------------------------------------------
2     DIVIDEND INVESTMENT    The Fund's transfer agent and dividend disbursing
      ACCOUNT                agent or its delegate ("Agent") will establish a
                             Dividend Investment Account (the "Account") for
                             each shareholder participating in the Plan. Agent
                             will credit to the Account of each participant
                             funds it receives from the following sources: (a)
                             cash dividends and capital gains distributions paid
                             on shares of beneficial interest (the "Shares") of
                             the Fund registered in the participant's name on
                             the books of the Fund; (b) cash dividends and
                             capital gains distributions paid on Shares
                             registered in the name of Agent but credited to the
                             participant's Account. Sources described in clauses
                             (a) and (b) of the preceding sentence are
                             hereinafter called "Distributions."
 
- --------------------------------------------------------------------------------
3     INVESTMENT OF          If on the record date for a Distribution (the
      DISTRIBUTION FUNDS     "Record Date"), Shares are trading at a discount
      HELD IN EACH ACCOUNT   from net asset value per Share (according to the
                             evaluation most recently made on Shares of the
                             Fund), funds credited to a participant's Account
                             will be used to purchase Shares (the "Purchase").
                             UMB will attempt, commencing five days prior to the
                             Payment Date and ending at the close of business on
                             the Payment Date ("Payment Date" as used herein
                             shall mean the last business day of the month in
                             which such Record Date occurs), to acquire Shares
                             in the open market. If and to the extent that UMB
                             is unable to acquire sufficient Shares to satisfy
                             the Distribution by the close of business on the
                             Payment Date, the Fund will issue to UMB Shares
                             valued at net asset value per Share (according to
                             the evaluation most recently made on Shares of the
                             Fund) in the aggregate amount of the remaining
                             value of the Distribution. If, on the Record Date,
                             Shares are trading at a premium over net asset
                             value per Share, the Fund will issue on the Payment
                             Date, Shares valued at net asset value per Share on
                             the Record Date to Agent in the aggregate amount of
                             the funds credited to the participants' accounts.
 
- --------------------------------------------------------------------------------
4     ADDITIONAL             Address all notices, correspondence, questions, or
      INFORMATION            other communication regarding the Plan to:
 
                             KEMPER SERVICE COMPANY
                             P.O. Box 419066
                             Kansas City, Missouri 64141-6066
                             1-800-294-4366
  
                                                                              19
 
<PAGE>   20
DESCRIPTION OF DIVIDEND REINVESTMENT PLAN
 
- --------------------------------------------------------------------------------
5    ADJUSTMENT OF           The Fund will increase the price at which Shares
     PURCHASE PRICE          may be issued under the Plan to 95% of the fair
                             market value of the shares on the Record Date if
                             the net asset value per Share of the Shares on the
                             Record Date is less than 95% of the fair market
                             value of the Shares on the Record Date.
   
           
- --------------------------------------------------------------------------------
6    DETERMINATION OF        The cost of Shares and fractional Shares acquired
     PURCHASE PRICE          for each participant's Account in connection with a
                             Purchase shall be determined by the average cost
                             per Share, including brokerage commissions as
                             described in Paragraph 7 hereof, of the Shares
                             acquired by UMB in connection with that Purchase.
                             Shareholders will receive a confirmation showing
                             the average cost and number of Shares acquired as
                             soon as practicable after Agent has received or UMB
                             has purchased Shares. Agent may mingle the cash in
                             a participant's account with similar funds of other
                             participants of the Fund for whom UMB acts as agent
                             under the Plan.
 
- --------------------------------------------------------------------------------
7    BROKERAGE CHARGES       There will be no brokerage charges with respect to
                             Shares issued directly by the Fund as a result of
                             Distributions. However, each participant will pay a
                             pro rata share of brokerage commissions incurred
                             with respect to UMB's open market purchases in
                             connection with the reinvestment of Distributions.
                             Brokerage charges for purchasing small amounts of
                             Shares for individual Accounts through the Plan can
                             be expected to be less than the usual brokerage
                             charges for such transactions, as UMB will be
                             purchasing Shares for all participants in blocks
                             and prorating the lower commission thus attainable.
 
- --------------------------------------------------------------------------------
8    SERVICE CHARGES         There is no service charge by Agent or UMB to
                             shareholders who participate in the Plan other than
                             service charges specified in Paragraph 12 hereof.
                             However, the Fund reserves the right to amend the
                             Plan in the future to include a service charge.
 
- --------------------------------------------------------------------------------
9    TRANSFER OF SHARES      Agent will maintain the participants Account, hold
     HELD BY AGENT           the additional Shares acquired through the Plan in
                             safekeeping and furnish the participant with
                             written confirmation of all transactions in the
                             Account. Shares in the Account are transferable
                             upon proper written instructions to Agent. Upon
                             request to Agent, a certificate for any or all full
                             Shares in a participant's Account will be sent to
                             the participant.
 
- --------------------------------------------------------------------------------
10   SHARES NOT HELD IN      Beneficial owners of Shares which are held in the
     SHAREHOLDER'S           name of a broker or nominee will not be
     NAME                    automatically included in the Plan and will receive
                             all distributions in cash. Such shareholders should
                             contact the broker or nominee in whose name their
                             Shares are held to determine whether and how they
                             may participate in the Plan.
 
- --------------------------------------------------------------------------------
11        AMENDMENTS         Experience under the Plan may indicate that changes
                             are desirable. Accordingly, the Fund reserves the
                             right to amend or terminate the Plan, including
                             provisions with respect to any Distribution paid
                             subsequent to notice thereof sent to participants
                             in the Plan at least ninety days before the record
                             date for such Distribution.
 
 20
 
<PAGE>   21
DESCRIPTION OF DIVIDEND REINVESTMENT PLAN
 
- --------------------------------------------------------------------------------
12    WITHDRAWAL FROM        Shareholders may withdraw from the Plan at any time
      PLAN                   by giving Agent a written notice. If the proceeds
                             are $25,000 or less and the proceeds are to be
                             payable to the shareholder of record and mailed to
                             the address of record, a signature guarantee
                             normally will not be required for notices by
                             individual account owners (including joint account
                             owners), otherwise a signature guarantee will be
                             required. In addition, if the certificate is to be
                             sent to anyone other than the registered owner(s)
                             at the address of record, a signature guarantee
                             will be required on the notice. A notice of
                             withdrawal will be effective for the next
                             Distribution following receipt of the notice by the
                             Agent provided the notice is received by the Agent
                             at least ten days prior to the Record Date for the
                             Distribution. When a participant withdraws from the
                             Plan, or when the Plan is terminated in accordance
                             with Paragraph 11 hereof, the participant will
                             receive a certificate for full Shares in the
                             Account, plus a check for any fractional Shares
                             based on market price; or if a Participant so
                             desires, Agent will notify UMB to sell his Shares
                             in the Plan and send the proceeds to the
                             participant, less brokerage commissions and a $2.50
                             service fee.
 
- --------------------------------------------------------------------------------
13       TAX IMPLICATIONS    Shareholders will receive tax information annually
                             for personal records and to assist in preparation
                             of their Federal income tax returns. If shares are
                             purchased at a discount, the amount of the discount
                             is considered taxable income and is added to the
                             cost basis of the purchased shares.
 
                                                                              21
 
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 22
<PAGE>   23
 
 
                                    NOTES


















































                                                                              23
<PAGE>   24
 
TRUSTEES
OFFICERS
 
JAMES E. AKINS
Trustee
ARTHUR R. GOTTSCHALK
Trustee
FREDERICK T. KELSEY
Trustee
DANIEL PIERCE
Trustee
FRED B. RENWICK
Trustee
JOHN B. TINGLEFF
Trustee
EDMOND D. VILLANI
Trustee
JOHN G. WEITHERS
Trustee
DANIEL PIERCE
Chairman of the Board
MARK S. CASADY
President
PHILIP J. COLLORA
Vice President,
Secretary and Treasurer
DALE R. BURROW
Vice President
JERARD K. HARTMAN
Vice President
THOMAS W. LITTAUER
Vice President
ANN M. MCCREARY
Vice President
CHRISTOPHER J. MIER
Vice President
ROBERT C. PECK, JR.
Vice President
KATHRYN L. QUIRK
Vice President
LINDA J. WONDRACK
Vice President
JOHN R. HEBBLE
Assistant Treasurer
MAUREEN E. KANE
Assistant Secretary
CAROLINE PEARSON
Assistant Secretary
ELIZABETH C. WERTH
Assistant Secretary
 
<TABLE>
<S>                                   <C>
 ..........................................................................................................
LEGAL COUNSEL                         VEDDER, PRICE, KAUFMAN & KAMMHOLZ
                                      222 North LaSalle Street
                                      Chicago, IL 60601
 ..........................................................................................................
SHAREHOLDER                           KEMPER SERVICE COMPANY
SERVICE AGENT                         P.O. Box 419066
                                      Kansas City, MO 64141
 ..........................................................................................................
CUSTODIAN AND                         INVESTORS FIDUCIARY TRUST COMPANY
TRANSFER AGENT                        801 Pennsylvania
                                      Kansas City, MO 64105
 ..........................................................................................................
INDEPENDENT AUDITORS                  ERNST & YOUNG LLP
                                      233 South Wacker Drive
                                      Chicago, IL 60606
</TABLE>
 
KEMPER LOGO
Printed on recycled paper.
KSMIT - 2 (1/98) 1042010
Printed in the U.S.A.
 
                                   LONG-TERM INVESTING IN A SHORT-TERM WORLD(SM)
 
                                                               TRUSTEES&OFFICERS


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