KEMPER STATE TAX FREE INCOME SERIES
497, 2000-10-05
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                           KEMPER MUNICIPAL BOND FUND
                     KEMPER CALIFORNIA TAX-FREE INCOME FUND
                       KEMPER FLORIDA TAX-FREE INCOME FUND
                      KEMPER NEW YORK TAX-FREE INCOME FUND
                        KEMPER OHIO TAX-FREE INCOME FUND
                         SUPPLEMENT TO THE STATEMENT OF
                          ADDITIONAL INFORMATION DATED
                                 JANUARY 1, 2000
                           --------------------------

KEMPER MUNICIPAL BOND FUND

Performance  figures for Class B and C shares of the Fund for the period May 31,
1994 to September  30, 1999 reflect the actual  performance  of these classes of
shares.  Returns  for Class B and C shares for the period  April 20, 1976 to May
31, 1994 are derived from the historical performance of Class A shares, adjusted
to reflect the operating expenses applicable to Class B and C shares,  which may
be higher or lower than those of Class A shares.  The  performance  figures  are
also  adjusted to reflect the maximum  sales  charge of 4.50% for Class A shares
and the  maximum  current  contingent  deferred  sales  charge of 4% for Class B
shares and 1% for Class C shares.

The returns in the chart below assume reinvestment of distributions at net asset
value  and  represent  both  actual  past   performance   figures  and  adjusted
performance  figures of the Class A shares of the Fund as described above;  they
do not guarantee  future  results.  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.

KEMPER MUNICIPAL BOND FUND -- AS OF SEPTEMBER 30, 1999*

AVERAGE ANNUAL         Class A           Class B                Class C
TOTAL RETURNS          Shares             Shares                Shares
-------------          ------             ------                ------

Life of Fund(+)         7.33%               --                    --
Life of Fund(++)         --               4.71%                  4.95%
Ten Year                6.66%             6.23%                  6.28%
Five Year               5.39%             5.29%                  5.51%
One Year               -7.14%            -6.19%                 -3.47%



--------------
(+)  Since April 20, 1976.

(++) Since May 31, 1994 for Class B and C shares.

* Because Class B and C shares were not introduced until May 31, 1994, the total
return for Class B and C shares for the period  prior to their  introduction  is
based upon the performance of Class A shares from the commencement of investment
operations,  April 20, 1976 through May 31, 1994. Actual  performance of Class B
and C shares is shown beginning May 31, 1994.

KEMPER CALIFORNIA TAX-FREE INCOME FUND

Performance  figures for Class B and C shares of the Fund for the period May 31,
1994 to August 31,  1999  reflect  the actual  performance  of these  classes of
shares. Returns for Class B and C shares for the period February 17, 1983 to May
31, 1994 are derived from the historical performance of Class A shares, adjusted
to reflect the operating expenses applicable to Class B and C shares,  which may
be higher or lower than those of Class A shares.  The  performance  figures  are
also  adjusted to reflect the maximum  sales  charge of 4.50% for Class A shares
and the  maximum  current  contingent  deferred  sales  charge of 4% for Class B
shares and 1% for Class C shares.

The returns in the chart below assume reinvestment of distributions at net asset
value  and  represent  both  actual  past   performance   figures  and  adjusted
performance  figures of the Class A shares of the Fund as described above;  they
do not guarantee  future  results.  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.



<PAGE>



KEMPER CALIFORNIA TAX-FREE INCOME FUND -- AS OF AUGUST 31, 1999*

AVERAGE ANNUAL              Class A             Class B             Class C
TOTAL RETURNS                Shares             Shares               Shares
-------------                ------             ------               ------

Life of Fund(+)              8.13%                --                   --
Life of Fund(++)               --                4.93%               4.91%
Ten Year                     6.40%               6.39%               6.17%
Five Year                    5.03%               4.96%               4.96%
One Year                    -5.51%              -4.96%              -1.91%


------------------------------
(+)  Since February 17, 1983 for Class A shares.

(++) Since May 31, 1994 for Class B and C shares.

* Because Class B and C shares were not introduced until May 31, 1994, the total
return for Class B and C shares for the period  prior to their  introduction  is
based upon the performance of Class A shares from the commencement of investment
operations,  February 17, 1983 through May 31, 1994. Actual performance of Class
B and C shares is shown beginning May 31, 1994.

KEMPER FLORIDA TAX-FREE INCOME FUND

Performance  figures for Class B and C shares of the Fund for the period May 31,
1994 to August 31,  1999  reflect  the actual  performance  of these  classes of
shares.  Returns  for Class B and C shares for the period  April 25, 1991 to May
31, 1994 are derived from the historical performance of Class A shares, adjusted
to reflect the operating expenses applicable to Class B and C shares,  which may
be higher or lower than those of Class A shares.  The  performance  figures  are
also  adjusted to reflect the maximum  sales  charge of 4.50% for Class A shares
and the  maximum  current  contingent  deferred  sales  charge of 4% for Class B
shares and 1% for Class C shares.

The returns in the chart below assume reinvestment of distributions at net asset
value  and  represent  both  actual  past   performance   figures  and  adjusted
performance  figures of the Class A shares of the Fund as described above;  they
do not guarantee  future  results.  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.

KEMPER FLORIDA TAX-FREE INCOME FUND -- AS OF AUGUST 31, 1999*

AVERAGE ANNUAL                Class A            Class B              Class C
TOTAL RETURNS                  Shares            Shares                Shares
-------------                  ------            ------                ------

Life of Fund  (+)              6.43%               --                    --
Life of Fund  (++)               --               4.59%                4.77%
Ten Years                      6.40%              6.10%                6.13%
Five Years                     4.73%              4.67%                4.87%
One Year                      -6.53%             -5.60%               -2.84%


----------------------------
(+)  Since April 25, 1991 for Class A shares.

(++) Since May 31, 1994 for Class B and C shares.

* Because Class B and C shares were not introduced until May 31, 1994, the total
return for Class B and C shares for the period  prior to their  introduction  is
based upon the performance of Class A shares from the commencement of investment
operations,  April 25, 1991 through May 31, 1994. Actual  performance of Class B
and C shares is shown beginning May 31, 1994.

KEMPER NEW YORK TAX-FREE INCOME FUND

Performance  figures for Class B and C shares of the Fund for the period May 31,
1994 to August 31,  1999  reflect  the actual  performance  of these  classes of
shares. Returns for Class B and C shares for the period December 31, 1985 to May
31, 1994 are derived from the historical performance of Class A shares, adjusted
to reflect the operating expenses applicable to Class B and C shares,  which may
be higher or lower than those of Class A shares.  The  performance  figures  are
also  adjusted to reflect the maximum  sales


<PAGE>

charge of 4.50% for Class A shares and the maximum current  contingent  deferred
sales charge of 4% for Class B shares and 1% for Class C shares.

The returns in the chart below assume reinvestment of distributions at net asset
value  and  represent  both  actual  past   performance   figures  and  adjusted
performance  figures of the Class A shares of the Fund as described above;  they
do not guarantee  future  results.  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.

KEMPER NEW YORK TAX-FREE INCOME FUND -- AS OF AUGUST 31, 1999*

AVERAGE ANNUAL  TOTAL     Class A           Class B            Class C
RETURNS                   Shares            Shares              Shares
-------                   ------            ------              ------

Life of Fund  (+)          6.78%              --                  --
Life of Fund  (++)          --               4.53%              4.66%
Ten Years                  6.51%             6.22%              6.22%
Five Years                 4.67%             4.60%              4.76%
One Year                  -5.92%            -5.20%             -2.33%


---------------------
(+)  Since December 31, 1985 for Class A shares.

(++) Since May 31, 1994 for Class B and C shares.

* Because Class B and C shares were not introduced until May 31, 1994, the total
return for Class B and C shares for the period  prior to their  introduction  is
based upon the performance of Class A shares from the commencement of investment
operations,  December 31, 1985 through May 31, 1994. Actual performance of Class
B and C shares is shown beginning May 31, 1994.

KEMPER OHIO TAX-FREE INCOME FUND

Performance  figures for Class B and C shares of the Fund for the period May 31,
1994 to August 31,  1999  reflect  the actual  performance  of these  classes of
shares.  Returns  for Class B and C shares for the period  March 22, 1993 to May
31, 1994 are derived from the historical performance of Class A shares, adjusted
to reflect the operating expenses applicable to Class B and C shares,  which may
be higher or lower than those of Class A shares.  The  performance  figures  are
also  adjusted to reflect the maximum  sales  charge of 4.50% for Class A shares
and the  maximum  current  contingent  deferred  sales  charge of 4% for Class B
shares and 1% for Class C shares.

The returns in the chart below assume reinvestment of distributions at net asset
value  and  represent  both  actual  past   performance   figures  and  adjusted
performance  figures of the Class A shares of the Fund as described above;  they
do not guarantee  future  results.  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.

KEMPER OHIO TAX-FREE FUND -- AS OF AUGUST 31, 1999*

AVERAGE ANNUAL               Class A            Class B               Class C
TOTAL RETURNS                 Shares             Shares                Shares
-------------                 ------             ------                ------

Life of Fund (+)              5.28%                --                    --
Life of Fund (++)               --               5.10%                 5.27%
Ten Years                     5.18%              5.09%                 5.09%
Five Years                    5.06%              5.04%                 5.22%
One Year                     -5.16%             -4.39%                -1.48%


---------------------
(+)  Since March 22, 1993 for Class A shares.

(++) Since May 31, 1994 for Class B and C shares.

* Because Class B and C shares were not introduced until May 31, 1994, the total
return for Class B and C shares for the period  prior to their  introduction  is
based upon the performance of Class A shares from the commencement of investment
operations,  March 22, 1993 through May 31, 1994. Actual  performance of Class B
and C shares is shown beginning May 31, 1994.

September 29, 2000



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