KEMPER NATIONAL TAX FREE INCOME SERIES
NSAR-A, 1998-05-28
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<PAGE>      PAGE  1
000 A000000 03/31/98
000 C000000 0000055190
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 KEMPER NATIONAL TAX-FREE INCOME SERIES
001 B000000 811-2353
001 C000000 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 5808
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 KEMPER MUNICIPAL BOND FUND
007 C030100 N
007 C010200  2
007 C020200 KEMPER INTERMEDIATE MUNICIPAL BOND FUND
007 C030200 N
007 C010300  3
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 SCUDDER KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-44899
008 D01AA01 CHICAGO
008 D02AA01 IL
008 D03AA01 60606
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60606
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
<PAGE>      PAGE  2
011 C02AA01 IL
011 C03AA01 60606
012 A00AA01 KEMPER SERVICE COMPANY
012 B00AA01 84-1713
012 C01AA01 KANSAS CITY
012 C02AA01 MO
012 C03AA01 64105
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 SCUDDER INVESTOR SERVICES, INC.
014 B00AA01 8-298
014 A00AA02 KEMPER DISTRIBUTORS, INC.
014 B00AA02 8-47765
014 A00AA03 GRUNTAL SECURITIES, INC.
014 B00AA03 8-31022
014 A00AA04 THE GMS GROUP, INC.
014 B00AA04 8-23936
014 A00AA05 ZURICH CAPITAL MARKETS
014 B00AA05 8-49827
014 A00AA06 BANK HANDLOWY
014 B00AA06 8-24613
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 STATE STREET BANK AND TRUST COMPANY
015 B00AA02 S
015 C01AA02 BOSTON
015 C02AA02 MA
015 C03AA02 02110
015 E01AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   69
019 C00AA00 KEMPERFNDS
020 A000001 DEUTSCHE MORGAN GRENFELL
020 B000001 13-2730828
020 C000001     50
020 A000002 COMMERZBANK CAPITAL MARKETS CORP.
020 B000002 13-3439358
020 C000002     46
020 A000003 LIT CLEARING SERVICES, INC.
020 B000003 36-3890396
020 C000003     44
020 C000004      0
020 C000005      0
020 C000006      0
<PAGE>      PAGE  3
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000      140
022 A000001 LEHMAN BROTHERS, INC.
022 B000001 13-2518466
022 C000001    539500
022 D000001    453466
022 A000002 WILLIAM E. SIMON & SONS MUNICIPAL SECURITIES
022 B000002 22-3017217
022 C000002    358638
022 D000002    145134
022 A000003 GOLDMAN SACHS & CO.
022 B000003 13-5108880
022 C000003    200621
022 D000003    189472
022 A000004 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000004 13-5674085
022 C000004     95534
022 D000004    257785
022 A000005 SMITH BARNEY INC.
022 B000005 13-1912900
022 C000005     96956
022 D000005    105993
022 A000006 PAINEWEBBER INCORPORATED
022 B000006 13-2638166
022 C000006     86040
022 D000006     78393
022 A000007 J.P. MORGAN SECURITIES, INC.
022 B000007 13-3224016
022 C000007     68821
022 D000007     94813
022 A000008 BEAR, STEARNS & CO. INC.
022 B000008 13-3299429
022 C000008     63326
022 D000008     30395
022 A000009 BANC ONE CAPITAL CORP.
022 B000009 31-1017233
022 C000009     24473
022 D000009     60703
022 A000010 MORGAN STANLEY DEAN WITTER DISCOVER
022 B000010 13-6255998
022 C000010     42620
022 D000010     28019
023 C000000    1727066
023 D000000    1569781
024  00AA00 N
025 D00AA01       0
025 D00AA02       0
025 D00AA03       0
<PAGE>      PAGE  4
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
037  00AA00 N
038  00AA00      0
039  00AA00 Y
040  00AA00 Y
041  00AA00 Y
049  00AA00 N
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 N
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 N
054 L00AA00 N
054 M00AA00 Y
054 N00AA00 N
054 O00AA00 N
055 A00AA00 Y
055 B00AA00 N
056  00AA00 Y
057  00AA00 N
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
066 A00AA00 N
067  00AA00 N
<PAGE>      PAGE  5
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 N
077 C000000 Y
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
028 A010100     64110
028 A020100      8660
028 A030100         0
028 A040100     69102
028 B010100     64631
028 B020100      7359
028 B030100         0
028 B040100     83362
028 C010100     62899
028 C020100     55052
028 C030100         0
028 C040100     91895
028 D010100     75590
028 D020100      8736
028 D030100         0
028 D040100     69167
028 E010100     77569
028 E020100      7502
028 E030100         0
028 E040100    107803
028 F010100     25592
028 F020100     14185
028 F030100         0
028 F040100     70360
028 G010100    370391
028 G020100    101494
028 G030100         0
028 G040100    491689
<PAGE>      PAGE  6
028 H000100     43166
029  000100 Y
030 A000100    937
030 B000100  4.50
030 C000100  0.00
031 A000100    140
031 B000100      0
032  000100    797
033  000100      0
034  000100 Y
035  000100     41
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
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043  000100    268
044  000100    770
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.000
048 A010100   250000
048 A020100 0.450
048 B010100   750000
048 B020100 0.430
048 C010100  1500000
048 C020100 0.410
048 D010100  2500000
048 D020100 0.400
048 E010100  2500000
048 E020100 0.380
048 F010100  2500000
048 F020100 0.360
048 G010100  2500000
048 G020100 0.340
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100 12500000
048 K020100 0.320
062 A000100 Y
062 B000100   0.0
<PAGE>      PAGE  7
062 C000100   0.0
062 D000100   0.0
062 E000100   1.6
062 F000100   0.0
062 G000100   0.0
062 H000100   0.0
062 I000100   0.0
062 J000100   0.0
062 K000100   0.0
062 L000100   0.0
062 M000100   0.0
062 N000100   0.0
062 O000100  98.2
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 16.2
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 N
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 Y
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 N
070 O020100 N
070 P010100 N
<PAGE>      PAGE  8
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100    949906
071 B000100    929489
071 C000100   3106836
071 D000100   60
072 A000100  6
072 B000100    91453
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100     6660
072 G000100     2799
072 H000100        0
072 I000100        0
072 J000100      912
072 K000100        0
072 L000100      273
072 M000100       22
072 N000100       10
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100       31
072 S000100        7
072 T000100      268
072 U000100        0
072 V000100        0
072 W000100       15
072 X000100    10997
072 Y000100        0
072 Z000100    80456
072AA000100    35750
072BB000100     7418
072CC010100    21960
072CC020100        0
072DD010100    78961
072DD020100     1495
072EE000100    66970
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.2200
073 C000100   0.0000
074 A000100      848
074 B000100        0
074 C000100    51225
074 D000100  3123735
074 E000100        0
<PAGE>      PAGE  9
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100    33226
074 K000100        0
074 L000100    46822
074 M000100        0
074 N000100  3255856
074 O000100    68614
074 P000100     1598
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     5905
074 S000100        0
074 T000100  3179739
074 U010100   298494
074 U020100     7165
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    71916
074 Y000100   530570
075 A000100        0
075 B000100  3222519
076  000100     0.00
028 A010200       296
028 A020200        51
028 A030200         0
028 A040200       373
028 B010200       582
028 B020200        44
028 B030200         0
028 B040200       282
028 C010200       445
028 C020200       157
028 C030200         0
028 C040200       214
028 D010200       806
028 D020200        54
028 D030200         0
028 D040200       603
028 E010200       564
028 E020200        47
028 E030200         0
028 E040200       330
028 F010200       174
028 F020200        65
028 F030200         0
<PAGE>      PAGE  10
028 F040200       315
028 G010200      2867
028 G020200       418
028 G030200         0
028 G040200      2117
028 H000200      1112
029  000200 Y
030 A000200     36
030 B000200  2.75
030 C000200  0.00
031 A000200      6
031 B000200      0
032  000200     30
033  000200      0
034  000200 Y
035  000200      6
036 A000200 N
036 B000200      0
042 A000200   0
042 B000200   0
042 C000200   0
042 D000200   0
042 E000200   0
042 F000200   0
042 G000200   0
042 H000200 100
043  000200     20
044  000200     66
045  000200 Y
046  000200 N
047  000200 Y
048  000200  0.000
048 A010200   250000
048 A020200 0.550
048 B010200   750000
048 B020200 0.520
048 C010200  1500000
048 C020200 0.500
048 D010200  2500000
048 D020200 0.480
048 E010200  2500000
048 E020200 0.450
048 F010200  2500000
048 F020200 0.430
048 G010200  2500000
048 G020200 0.410
048 H010200        0
048 H020200 0.000
048 I010200        0
048 I020200 0.000
048 J010200        0
<PAGE>      PAGE  11
048 J020200 0.000
048 K010200 12500000
048 K020200 0.400
062 A000200 Y
062 B000200   0.0
062 C000200   0.0
062 D000200   0.0
062 E000200   2.1
062 F000200   0.0
062 G000200   0.0
062 H000200   0.0
062 I000200   0.0
062 J000200   0.0
062 K000200   0.0
062 L000200   0.0
062 M000200   0.0
062 N000200   0.0
062 O000200  96.1
062 P000200   0.0
062 Q000200   0.0
062 R000200   0.0
063 A000200   0
063 B000200  7.5
064 A000200 N
064 B000200 N
070 A010200 Y
070 A020200 N
070 B010200 N
070 B020200 N
070 C010200 Y
070 C020200 N
070 D010200 N
070 D020200 N
070 E010200 Y
070 E020200 Y
070 F010200 N
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 N
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
070 J020200 N
070 K010200 N
070 K020200 N
070 L010200 N
070 L020200 N
070 M010200 N
070 M020200 N
<PAGE>      PAGE  12
070 N010200 Y
070 N020200 N
070 O010200 N
070 O020200 N
070 P010200 N
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200      3570
071 B000200      2243
071 C000200     21538
071 D000200   21
072 A000200  6
072 B000200      602
072 C000200        0
072 D000200        0
072 E000200        0
072 F000200       62
072 G000200       25
072 H000200        0
072 I000200        0
072 J000200        9
072 K000200        0
072 L000200        3
072 M000200        4
072 N000200        0
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200        0
072 S000200        0
072 T000200       20
072 U000200        0
072 V000200        0
072 W000200        7
072 X000200      130
072 Y000200        0
072 Z000200      472
072AA000200       68
072BB000200        5
072CC010200      201
072CC020200        0
072DD010200      375
072DD020200       96
072EE000200      140
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0700
073 C000200   0.0000
<PAGE>      PAGE  13
074 A000200       94
074 B000200        0
074 C000200      500
074 D000200    22275
074 E000200        0
074 F000200        0
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200        0
074 K000200        0
074 L000200      366
074 M000200        0
074 N000200    23235
074 O000200        0
074 P000200       21
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200       33
074 S000200        0
074 T000200    23181
074 U010200     1691
074 U020200      544
074 V010200     0.00
074 V020200     0.00
074 W000200   0.0000
074 X000200      432
074 Y000200        0
075 A000200        0
075 B000200    22622
076  000200     0.00
SIGNATURE   PHILIP J. COLLORA                            
TITLE       SECRETARY           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 011
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                        2,944,885
<INVESTMENTS-AT-VALUE>                       3,174,960
<RECEIVABLES>                                   80,048
<ASSETS-OTHER>                                     848
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,255,856
<PAYABLE-FOR-SECURITIES>                        68,614
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,503
<TOTAL-LIABILITIES>                             76,117
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,949,489
<SHARES-COMMON-STOCK>                          298,494
<SHARES-COMMON-PRIOR>                          301,050
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            175
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       230,075
<NET-ASSETS>                                 3,179,739
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                               91,453
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (10,997)
<NET-INVESTMENT-INCOME>                         80,456
<REALIZED-GAINS-CURRENT>                        28,332
<APPREC-INCREASE-CURRENT>                       21,960
<NET-CHANGE-FROM-OPS>                          130,748
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                     (78,961)
<DISTRIBUTIONS-OF-GAINS>                      (65,472)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         33,108
<NUMBER-OF-SHARES-REDEEMED>                   (45,271)
<SHARES-REINVESTED>                              9,607
<NET-CHANGE-IN-ASSETS>                        (36,482)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       38,813
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            6,660
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 10,997
<AVERAGE-NET-ASSETS>                         3,222,519
<PER-SHARE-NAV-BEGIN>                            10.46
<PER-SHARE-NII>                                    .26
<PER-SHARE-GAIN-APPREC>                            .16
<PER-SHARE-DIVIDEND>                             (.26)
<PER-SHARE-DISTRIBUTIONS>                        (.22)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.40
<EXPENSE-RATIO>                                    .66
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                        2,944,885
<INVESTMENTS-AT-VALUE>                       3,174,960
<RECEIVABLES>                                   80,048
<ASSETS-OTHER>                                     848
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,255,856
<PAYABLE-FOR-SECURITIES>                        68,614
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,503
<TOTAL-LIABILITIES>                             76,117
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,949,489
<SHARES-COMMON-STOCK>                            6,560
<SHARES-COMMON-PRIOR>                            5,878
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            175
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       230,075
<NET-ASSETS>                                 3,179,739
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                               91,453
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (10,997)
<NET-INVESTMENT-INCOME>                         80,456
<REALIZED-GAINS-CURRENT>                        28,332
<APPREC-INCREASE-CURRENT>                       21,960
<NET-CHANGE-FROM-OPS>                          130,748
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (1,350)
<DISTRIBUTIONS-OF-GAINS>                       (1,358)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,092
<NUMBER-OF-SHARES-REDEEMED>                      (593)
<SHARES-REINVESTED>                                183 
<NET-CHANGE-IN-ASSETS>                        (36,482)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       38,813
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            6,660
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 10,997
<AVERAGE-NET-ASSETS>                         3,222,519
<PER-SHARE-NAV-BEGIN>                            10.44
<PER-SHARE-NII>                                    .22
<PER-SHARE-GAIN-APPREC>                            .16
<PER-SHARE-DIVIDEND>                             (.22)
<PER-SHARE-DISTRIBUTIONS>                        (.22)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.38
<EXPENSE-RATIO>                                   1.53
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                        2,944,885
<INVESTMENTS-AT-VALUE>                       3,174,960
<RECEIVABLES>                                   80,048
<ASSETS-OTHER>                                     848
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,255,856
<PAYABLE-FOR-SECURITIES>                        68,614
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,503
<TOTAL-LIABILITIES>                             76,117
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,949,489
<SHARES-COMMON-STOCK>                              595
<SHARES-COMMON-PRIOR>                              519
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            175
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       230,075
<NET-ASSETS>                                 3,179,739
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                               91,453
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (10,997)
<NET-INVESTMENT-INCOME>                         80,456
<REALIZED-GAINS-CURRENT>                        28,332
<APPREC-INCREASE-CURRENT>                       21,960
<NET-CHANGE-FROM-OPS>                          130,748
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (138)
<DISTRIBUTIONS-OF-GAINS>                         (134)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,299
<NUMBER-OF-SHARES-REDEEMED>                       (20)
<SHARES-REINVESTED>                                 20 
<NET-CHANGE-IN-ASSETS>                        (36,482)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       38,813
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            6,660
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 10,997
<AVERAGE-NET-ASSETS>                         3,222,519
<PER-SHARE-NAV-BEGIN>                            10.47
<PER-SHARE-NII>                                    .22
<PER-SHARE-GAIN-APPREC>                            .16
<PER-SHARE-DIVIDEND>                             (.22)
<PER-SHARE-DISTRIBUTIONS>                        (.22)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.41
<EXPENSE-RATIO>                                   1.51
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 014
   <NAME> KEMPER MUNICIPAL BOND FUND - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                        2,944,885
<INVESTMENTS-AT-VALUE>                       3,174,960
<RECEIVABLES>                                   80,048
<ASSETS-OTHER>                                     848
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               3,255,856
<PAYABLE-FOR-SECURITIES>                        68,614
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        7,503
<TOTAL-LIABILITIES>                             76,117
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     2,949,489
<SHARES-COMMON-STOCK>                               10
<SHARES-COMMON-PRIOR>                               30
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            175
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                       230,075
<NET-ASSETS>                                 3,179,739
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                               91,453
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                (10,997)
<NET-INVESTMENT-INCOME>                         80,456
<REALIZED-GAINS-CURRENT>                        28,332
<APPREC-INCREASE-CURRENT>                       21,960
<NET-CHANGE-FROM-OPS>                          130,748
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (7)
<DISTRIBUTIONS-OF-GAINS>                           (6)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0 
<NET-CHANGE-IN-ASSETS>                        (36,482)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                       38,813
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                            6,660
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                 10,997
<AVERAGE-NET-ASSETS>                         3,222,519
<PER-SHARE-NAV-BEGIN>                            10.46
<PER-SHARE-NII>                                    .26
<PER-SHARE-GAIN-APPREC>                            .16
<PER-SHARE-DIVIDEND>                             (.26)
<PER-SHARE-DISTRIBUTIONS>                        (.22)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.40
<EXPENSE-RATIO>                                    .59
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                           21,466
<INVESTMENTS-AT-VALUE>                          22,775
<RECEIVABLES>                                      366
<ASSETS-OTHER>                                      94
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  23,235
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           54
<TOTAL-LIABILITIES>                                 54
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        21,933
<SHARES-COMMON-STOCK>                            1,691
<SHARES-COMMON-PRIOR>                            1,609 
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (61)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,309
<NET-ASSETS>                                    23,181
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  602 
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (130)
<NET-INVESTMENT-INCOME>                            472
<REALIZED-GAINS-CURRENT>                            63
<APPREC-INCREASE-CURRENT>                          201
<NET-CHANGE-FROM-OPS>                              736
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (375)
<DISTRIBUTIONS-OF-GAINS>                         (106)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            192
<NUMBER-OF-SHARES-REDEEMED>                      (142)
<SHARES-REINVESTED>                                 32 
<NET-CHANGE-IN-ASSETS>                           1,292
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                           16
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               62
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    130
<AVERAGE-NET-ASSETS>                            22,622
<PER-SHARE-NAV-BEGIN>                            10.31
<PER-SHARE-NII>                                    .23
<PER-SHARE-GAIN-APPREC>                            .13
<PER-SHARE-DIVIDEND>                             (.23)
<PER-SHARE-DISTRIBUTIONS>                        (.07)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.37
<EXPENSE-RATIO>                                    .96
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                           21,466
<INVESTMENTS-AT-VALUE>                          22,775
<RECEIVABLES>                                      366
<ASSETS-OTHER>                                      94
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  23,235
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           54
<TOTAL-LIABILITIES>                                 54
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        21,933
<SHARES-COMMON-STOCK>                              471
<SHARES-COMMON-PRIOR>                              443 
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (61)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,309
<NET-ASSETS>                                    23,181
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  602 
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (130)
<NET-INVESTMENT-INCOME>                            472
<REALIZED-GAINS-CURRENT>                            63
<APPREC-INCREASE-CURRENT>                          201
<NET-CHANGE-FROM-OPS>                              736
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (86)
<DISTRIBUTIONS-OF-GAINS>                          (29)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             69
<NUMBER-OF-SHARES-REDEEMED>                       (48)
<SHARES-REINVESTED>                                  7 
<NET-CHANGE-IN-ASSETS>                           1,292
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                           16
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               62
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    130
<AVERAGE-NET-ASSETS>                            22,622
<PER-SHARE-NAV-BEGIN>                            10.31
<PER-SHARE-NII>                                    .19
<PER-SHARE-GAIN-APPREC>                            .13
<PER-SHARE-DIVIDEND>                             (.19)
<PER-SHARE-DISTRIBUTIONS>                        (.07)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.37
<EXPENSE-RATIO>                                   1.75
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<SERIES>
   <NUMBER> 023
   <NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          SEP-30-1998
<PERIOD-START>                             OCT-01-1997
<PERIOD-END>                               MAR-31-1998
<INVESTMENTS-AT-COST>                           21,466
<INVESTMENTS-AT-VALUE>                          22,775
<RECEIVABLES>                                      366
<ASSETS-OTHER>                                      94
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  23,235
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           54
<TOTAL-LIABILITIES>                                 54
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        21,933
<SHARES-COMMON-STOCK>                               73
<SHARES-COMMON-PRIOR>                               70 
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (61)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,309
<NET-ASSETS>                                    23,181
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  602 
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (130)
<NET-INVESTMENT-INCOME>                            472
<REALIZED-GAINS-CURRENT>                            63
<APPREC-INCREASE-CURRENT>                          201
<NET-CHANGE-FROM-OPS>                              736
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (11)
<DISTRIBUTIONS-OF-GAINS>                           (4)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             27
<NUMBER-OF-SHARES-REDEEMED>                       (25)
<SHARES-REINVESTED>                                  1 
<NET-CHANGE-IN-ASSETS>                           1,292
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                           16
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               62
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    130
<AVERAGE-NET-ASSETS>                            22,622
<PER-SHARE-NAV-BEGIN>                            10.31
<PER-SHARE-NII>                                    .19
<PER-SHARE-GAIN-APPREC>                            .13
<PER-SHARE-DIVIDEND>                             (.19)
<PER-SHARE-DISTRIBUTIONS>                        (.07)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.37
<EXPENSE-RATIO>                                   1.73
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/98
          File No. 811-2353
          Page 1


          A special meeting of Registrant's shareholders was held on
          December 3, 1997 and was adjourned as necessary.  Votes regarding
          the items submitted to shareholder vote are set forth below.

          Item 1:  Election of the Board of Trustees

                   David W. Belin
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,403,773
                       WITHHELD           3,852,460

                   Lewis A. Burnham
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,594,151
                       WITHHELD           3,662,083
                    
                   Donald L. Dunaway
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,593,454
                       WITHHELD           3,662,780

                   Robert B. Hoffman
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,594,002
                       WITHHELD           3,662,232

             







          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/98
          File No. 811-2353
          Page 2

                   Donald R. Jones
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,527,934
                       WITHHELD           3,728,300

                   Shirley D. Peterson
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,397,848
                       WITHHELD           3,858,386

                   Daniel Pierce 
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,400,280
                       WITHHELD           3,855,954

                   William P. Sommers
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,600,600
                       WITHHELD           3,655,633

                   Edmond D. Villani 
                                                   
                       Vote             Number     
                       ----             -----------
                       FOR              212,376,110
                       WITHHELD           3,880,123






          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/98
          File No. 811-2353
          Page 3

          Item 2:  Selection of Independent Auditors

                       Vote             Number       
                       ----             -----------  
                       FOR              210,693,083
                       AGAINST            1,480,185
                       ABSTAIN            4,082,965

          Item 3:  New Investment Management Agreement
                   Kemper Municipal Bond Fund
                                           
                       Vote             Number    
                       ----             -----------
                       F0R              195,614,879
                       AGAINST            4,391,646
                       ABSTAIN            7,548,567

                    Kemper Intermediate Municipal Bond Fund
                                           
                       Vote             Number    
                       ----             -----------
                       F0R                1,159,791
                       AGAINST               26,278
                       ABSTAIN               17,969

          Item 6:  New Rule 12B-1 Distribution Plan 
                   Kemper Municipal Bond Fund (Class B shareholders only)

                      Vote              Number
                      ----              -----------
                      FOR                 3,380,495
                      AGAINST                83,985
                      ABSTAIN                74,788

                   






          Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/98
          File No. 811-2353
          Page 4

                  (Class C shareholders only)

                      Vote              Number
                      ----              -----------
                      FOR                   264,078
                      AGAINST                     0
                      ABSTAIN                 6,727

                   Kemper Intermedicate Municipal Bond Fund 
                   (Class B shareholders only)

                      Vote              Number
                      ----              -----------
                      FOR                   256,575
                      AGAINST                     0
                      ABSTAIN                 5,681

                   Kemper Intermedicate Municipal Bond Fund 
                   (Class C shareholders only)

                      Vote              Number
                      ----              -----------
                      FOR                    71,169
                      AGAINST                     0
                      ABSTAIN                     0

          Item 7:  Approve changes in fundamental investment policies
                   Kemper Municipal Bond Fund

                      Vote              Number    
                      ----              -----------
                      F0R               167,754,077
                      AGAINST             7,328,059
                      ABSTAIN            10,847,408







Exhibit 77C
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 03/31/98
          File No. 811-2353
          Page 5

                   Kemper Intermediate Municipal Bond Fund

                      Vote              Number    
                      ----              -----------
                      F0R                 1,211,730
                      AGAINST                48,388
                      ABSTAIN                21,391


          MRB|W:\FUNDS\NSAR.EXH\KNTIS995.77C|111795

































          Exhibit 77Q1(e)(1)
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 3/31/98 
          File No. 811-2353

                           INVESTMENT MANAGEMENT AGREEMENT

                        Kemper National Tax-Free Income Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                       Kemper Intermediate Municipal Bond Fund

          Ladies and Gentlemen:

          KEMPER NATIONAL TAX-FREE INCOME SERIES (the "Trust") has been
          established as a Massachusetts business trust to engage in the
          business of an investment company.  Pursuant to the Trust's
          Declaration of Trust, as amended from time-to-time (the
          "Declaration"), the Board of Trustees is authorized to issue the
          Trust's shares of beneficial interest (the "Shares"), in separate
          series, or funds.  The Board of Trustees has authorized Kemper
          Intermediate Municipal Bond Fund (the "Fund").  Series may be
          abolished and dissolved, and additional series established, from
          time to time by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth.  Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:







          1.   Delivery of Documents.  The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended.  Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust.  The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services.  As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust s Board of
          Trustees.  In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder.  The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients.  In managing the Fund in accordance with the
          requirements set forth in this section 2, you shall be entitled
          to receive and act upon advice of counsel to the Trust. You shall
          also make available to the Trust promptly upon request all of the
          Fund's investment records and ledgers as are necessary to assist
          the Trust in complying with the requirements of the 1940 Act and
          other applicable laws.  To the extent required by law, you shall
          furnish to regulatory authorities having the requisite authority
          any information or reports in connection with the services
          provided pursuant to this Agreement which may be requested in
          order to ascertain whether the operations of the Trust are being
          conducted in a manner consistent with applicable laws and
          regulations.


                                          2


          You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement.  You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services.  In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other

                                          3


          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses.  Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law.  You shall provide
          at your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4.  In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out-of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's

                                          4


          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses.  You shall be required to pay such of
          the foregoing sales expenses as are not required to be paid by
          the principal underwriter pursuant to the underwriting agreement
          or are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Trust on behalf of the Fund shall pay you
          in United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .55 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; provided that, for any calendar month during
          which the average of such values exceeds $250,000,000 the fee
          payable for that month based on the portion of the average of
          such values in excess of $250,000,000 shall be 1/12 of .52 of 1
          percent of such portion; provided that, for any calendar month
          during which the average of such values exceeds $1,000,000,000,

                                          5



          the fee payable for that month based on the portion of the
          average of such values in excess of $1,000,000,000 shall be 1/12
          of .50 of 1 percent of such portion; provided that, for any
          calendar month during which the average of such values exceeds
          $2,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of $2,500,000,000 
          shall be 1/12 of .48 of 1 percent of such portion; provided that,
          for any calendar month during which the average of such values
          exceeds $5,000,000,000, the fee payable for that month based on
          the portion of the average of such values in excess of
          $5,000,000,000 shall be 1/12 of .45 of 1 percent of such portion;
          provided that, for any calendar month during which the average of
          such values exceeds $7,500,000,000, the fee payable for that
          month based on the portion of the average of such values in
          excess of $7,500,000,000 shall be 1/12 of .43 of 1 percent of
          such portion; provided that, for any calendar month during which
          the average of such values exceeds $10,000,000,000, the fee
          payable for that month based on the portion of the average of
          such values in excess of $10,000,000,000 shall be 1/12 of .41 of
          1 percent of such portion; and provided that, for any calendar
          month during which the average of such values exceeds
          $12,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of
          $12,500,000,000 shall be 1/12 of .40 of 1 percent of such
          portion; over (b) any compensation waived by you from time to
          time (as more fully described below).  You shall be entitled to
          receive during any month such interim payments of your fee
          hereunder as you shall request, provided that no such payment
          shall exceed 75 percent of the amount of your fee then accrued on
          the books of the Fund and unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time.  The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement.  If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day. If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.



                                          6


          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services.  You shall be contractually
          bound hereunder by the terms of any publicly announced waiver of
          your fee, or any limitation of the Fund's expenses, as if such
          waiver or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission.  You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. 
          If any occasion should arise in which you give any advice to
          clients of yours concerning the Shares of the Fund, you shall act
          solely as investment counsel for such clients and not in any way
          on behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others.  In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust.  Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in
          a manner believed by you to be equitable.  The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager.  As an inducement to
          your undertaking to render services pursuant to this Agreement,
          the Trust agrees that you shall not be liable under this
          Agreement for any error of judgment or mistake of law or for any
          loss suffered by the Fund in connection with the matters to which
          this Agreement relates, provided that nothing in this Agreement
          shall be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement.  This Agreement
          shall remain in force until March 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the

                                          7


          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust.  This
          Agreement shall terminate automatically in the event of its
          assignment.

          This Agreement may be terminated with respect to the Fund at any
          time without the payment of any penalty by the Board of Trustees
          or by vote of a majority of the outstanding voting securities of
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement.  No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is
          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims.  The Declaration, a coyp
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Kemper National Tax-Free Income Series"
          refers to the Trustees under the Declaration collectively as
          Trustees and not as individuals or personally, and that no
          shareholder of the Fund, or Trustee, officer, employee or agent
          of the Trust, shall be subject to claims against or obligations
          of the Trust or of the Fund to any extent whatsoever, but that
          the Trust estate only shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such

                                          8


          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust.  You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous.  The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect.  This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.


                                          9



          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                        Yours very truly,

                                        KEMPER NATIONAL TAX-FREE INCOME
                                        SERIES, on behalf of Kemper
                                        Intermediate Municipal Bond Fund

                                        By:  /s/ John E. Neal
                                           -------------------------------
                                             Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                        SCUDDER KEMPER INVESTMENTS, INC.

                                        By:  /s/ Lynn S. Birdsong
                                           --------------------------------
                                             Vice President



          MRB|W:\FUNDS\NSAR.EXH\KNTIS\77Q-398.IMB|050898






















                                          10








          Exhibit 77Q1(e)(2)
          Kemper National Tax-Free Income Series
          Form N-SAR for the period ended 3/31/98 
          File No. 811-2353

                           INVESTMENT MANAGEMENT AGREEMENT

                        Kemper National Tax-Free Income Series
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

          Scudder Kemper Investments, Inc.
          345 Park Avenue
          New York, New York 10154

                           Investment Management Agreement
                              Kemper Municipal Bond Fund

          Ladies and Gentlemen:

          KEMPER NATIONAL TAX-FREE INCOME SERIES (the "Trust") has been
          established as a Massachusetts business trust to engage in the
          business of an investment company. Pursuant to the Trust's
          Declaration of Trust, as amended from time-to-time (the
          "Declaration"), the Board of Trustees is authorized to issue the
          Trust's shares of beneficial interest (the "Shares"), in separate
          series, or funds.  The Board of Trustees has authorized Kemper
          Municipal Bond Fund (the "Fund").  Series may be abolished and
          dissolved, and additional series established, from time to time
          by action of the Trustees.

          The Trust, on behalf of the Fund, has selected you to act as the
          investment manager of the Fund and to provide certain other
          services, as more fully set forth below, and you have indicated
          that you are willing to act as such investment manager and to
          perform such services under the terms and conditions hereinafter
          set forth.  Accordingly, the Trust on behalf of the Fund agrees
          with you as follows:







          1.   Delivery of Documents.  The Trust engages in the business of
          investing and reinvesting the assets of the Fund in the manner
          and in accordance with the investment objectives, policies and
          restrictions specified in the currently effective Prospectus (the
          "Prospectus") and Statement of Additional Information (the "SAI")
          relating to the Fund included in the Trust's Registration
          Statement on Form N-1A, as amended from time to time, (the
          "Registration Statement") filed by the Trust under the Investment
          Company Act of 1940, as amended, (the "1940 Act") and the
          Securities Act of 1933, as amended.  Copies of the documents
          referred to in the preceding sentence have been furnished to you
          by the Trust.  The Trust has also furnished you with copies
          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

               (b)  By-Laws of the Trust as in effect on the date hereof
          (the "By-Laws").

               (c)  Resolutions of the Trustees of the Trust and the
          shareholders of the Fund selecting you as investment manager and
          approving the form of this Agreement.

               (d)  Establishment and Designation of Series of Shares of
          Beneficial Interest relating to the Fund, as applicable.

          The Trust will furnish you from time to time with copies,
          properly certified or authenticated, of all amendments of or
          supplements, if any, to the foregoing, including the Prospectus,
          the SAI and the Registration Statement.

          2.   Portfolio Management Services.  As manager of the assets of
          the Fund, you shall provide continuing investment management of
          the assets of the Fund in accordance with the investment
          objectives, policies and restrictions set forth in the Prospectus
          and SAI; the applicable provisions of the 1940 Act and the
          Internal Revenue Code of 1986, as amended, (the "Code") relating
          to regulated investment companies and all rules and regulations
          thereunder; and all other applicable federal and state laws and
          regulations of which you have knowledge; subject always to
          policies and instructions adopted by the Trust's Board of
          Trustees.  In connection therewith, you shall use reasonable
          efforts to manage the Fund so that it will qualify as a regulated
          investment company under Subchapter M of the Code and regulations
          issued thereunder.  The Fund shall have the benefit of the
          investment analysis and research, the review of current economic
          conditions and trends and the consideration of long-range
          investment policy generally available to your investment advisory
          clients.  In managing the Fund in accordance with the
          requirements set forth in this section 2, you shall be entitled
          to receive and act upon advice of counsel to the Trust.  You
          shall also make available to the Trust promptly upon request all
          of the Fund's investment records and ledgers as are necessary to
          assist the Trust in complying with the requirements of the 1940
          Act and other applicable laws.  To the extent required by law,
          you shall furnish to regulatory authorities having the requisite
          authority any information or reports in connection with the
          services provided pursuant to this Agreement which may be
          requested in order to ascertain whether the operations of the
          Trust are being conducted in a manner consistent with applicable
          laws and regulations.


              2    You shall determine the securities, instruments, investments,
          currencies, repurchase agreements, futures, options and other
          contracts relating to investments to be purchased, sold or
          entered into by the Fund and place orders with broker-dealers,
          foreign currency dealers, futures commission merchants or others
          pursuant to your determinations and all in accordance with Fund
          policies as expressed in the Registration Statement.  You shall
          determine what portion of the Fund's portfolio shall be invested
          in securities and other assets and what portion, if any, should
          be held uninvested.

          You shall furnish to the Trust's Board of Trustees periodic
          reports on the investment performance of the Fund and on the
          performance of your obligations pursuant to this Agreement, and
          you shall supply such additional reports and information as the
          Trust's officers or Board of Trustees shall reasonably request.

          3.   Administrative Services.  In addition to the portfolio
          management services specified above in section 2, you shall
          furnish at your expense for the use of the Fund such office space
          and facilities in the United States as the Fund may require for
          its reasonable needs, and you (or one or more of your affiliates
          designated by you) shall render to the Trust administrative
          services on behalf of the Fund necessary for operating as an open
          end investment company and not provided by persons not parties to
          this Agreement including, but not limited to, preparing reports
          to and meeting materials for the Trust's Board of Trustees and
          reports and notices to Fund shareholders; supervising,
          negotiating contractual arrangements with, to the extent
          appropriate, and monitoring the performance of, accounting
          agents, custodians, depositories, transfer agents and pricing
          agents, accountants, attorneys, printers, underwriters, brokers
          and dealers, insurers and other persons in any capacity deemed to
          be necessary or desirable to Fund operations; preparing and
          making filings with the Securities and Exchange Commission (the
          "SEC") and other regulatory and self-regulatory organizations,
          including, but not limited to, preliminary and definitive proxy
          materials, post-effective amendments to the Registration
          Statement, semi-annual reports on Form N-SAR and notices pursuant
          to Rule 24f-2 under the 1940 Act; overseeing the tabulation of
          proxies by the Fund's transfer agent; assisting in the
          preparation and filing of the Fund's federal, state and local tax
          returns; preparing and filing the Fund's federal excise tax
          return pursuant to Section 4982 of the Code; providing assistance
          with investor and public relations matters; monitoring the
          valuation of portfolio securities and the calculation of net
          asset value; monitoring the registration of Shares of the Fund
          under applicable federal and state securities laws; maintaining
          or causing to be maintained for the Fund all books, records and
          reports and any other information required under the 1940 Act, to
          the extent that such books, records and reports and other
          information are not maintained by the Fund's custodian or other

                                          3

          agents of the Fund; assisting in establishing the accounting
          policies of the Fund; assisting in the resolution of accounting
          issues that may arise with respect to the Fund's operations and
          consulting with the Fund's independent accountants, legal counsel
          and the Fund's other agents as necessary in connection therewith;
          establishing and monitoring the Fund's operating expense budgets;
          reviewing the Fund's bills; processing the payment of bills that
          have been approved by an authorized person; assisting the Fund in
          determining the amount of dividends and distributions available
          to be paid by the Fund to its shareholders, preparing and
          arranging for the printing of dividend notices to shareholders,
          and providing the transfer and dividend paying agent, the
          custodian, and the accounting agent with such information as is
          required for such parties to effect the payment of dividends and
          distributions; and otherwise assisting the Trust as it may
          reasonably request in the conduct of the Fund's business, subject
          to the direction and control of the Trust's Board of Trustees.
          Nothing in this Agreement shall be deemed to shift to you or to
          diminish the obligations of any agent of the Fund or any other
          person not a party to this Agreement which is obligated to
          provide services to the Fund.

          4.   Allocation of Charges and Expenses.  Except as otherwise
          specifically provided in this section 4, you shall pay the
          compensation and expenses of all Trustees, officers and executive
          employees of the Trust (including the Fund's share of payroll
          taxes) who are affiliated persons of you, and you shall make
          available, without expense to the Fund, the services of such of
          your directors, officers and employees as may duly be elected
          officers of the Trust, subject to their individual consent to
          serve and to any limitations imposed by law.  You shall provide
          at your expense the portfolio management services described in
          section 2 hereof and the administrative services described in
          section 3 hereof.

          You shall not be required to pay any expenses of the Fund other
          than those specifically allocated to you in this section 4.  In
          particular, but without limiting the generality of the foregoing,
          you shall not be responsible, except to the extent of the
          reasonable compensation of such of the Fund's Trustees and
          officers as are directors, officers or employees of you whose
          services may be involved, for the following expenses of the Fund:
          organization expenses of the Fund (including out-of-pocket
          expenses, but not including your overhead or employee costs);
          fees payable to you and to any other Fund advisors or
          consultants; legal expenses; auditing and accounting expenses;
          maintenance of books and records which are required to be
          maintained by the Fund's custodian or other agents of the Trust;
          telephone, telex, facsimile, postage and other communications
          expenses; taxes and governmental fees; fees, dues and expenses
          incurred by the Fund in connection with membership in investment
          company trade organizations; fees and expenses of the Fund's

                                          4

          accounting agent for which the Trust is responsible pursuant to
          the terms of the Fund Accounting Services Agreement, custodians,
          subcustodians, transfer agents, dividend disbursing agents and
          registrars; payment for portfolio pricing or valuation services
          to pricing agents, accountants, bankers and other specialists, if
          any; expenses of preparing share certificates and, except as
          provided below in this section 4, other expenses in connection
          with the issuance, offering, distribution, sale, redemption or
          repurchase of securities issued by the Fund; expenses relating to
          investor and public relations; expenses and fees of registering
          or qualifying Shares of the Fund for sale; interest charges, bond
          premiums and other insurance expense; freight, insurance and
          other charges in connection with the shipment of the Fund's
          portfolio securities; the compensation and all expenses
          (specifically including travel expenses relating to Trust
          business) of Trustees, officers and employees of the Trust who
          are not affiliated persons of you; brokerage commissions or other
          costs of acquiring or disposing of any portfolio securities of
          the Fund; expenses of printing and distributing reports, notices
          and dividends to shareholders; expenses of printing and mailing
          Prospectuses and SAIs of the Fund and supplements thereto; costs
          of stationery; any litigation expenses; indemnification of
          Trustees and officers of the Trust; and costs of shareholders'
          and other meetings.

          You shall not be required to pay expenses of any activity which
          is primarily intended to result in sales of Shares of the Fund if
          and to the extent that (i) such expenses are required to be borne
          by a principal underwriter which acts as the distributor of the
          Fund's Shares pursuant to an underwriting agreement which
          provides that the underwriter shall assume some or all of such
          expenses, or (ii) the Trust on behalf of the Fund shall have
          adopted a plan in conformity with Rule 12b-1 under the 1940 Act
          providing that the Fund (or some other party) shall assume some
          or all of such expenses.  You shall be required to pay such of
          the foregoing sales expenses as are not required to be paid by
          the principal underwriter pursuant to the underwriting agreement
          or are not permitted to be paid by the Fund (or some other party)
          pursuant to such a plan.

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Trust on behalf of the Fund shall pay you
          in United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .45 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; provided that, for any calendar month during
          which the average of such values exceeds $250,000,000 the fee
          payable for that month based on the portion of the average of
          such values in excess of $250,000,000 shall be 1/12 of .43 of 1
          percent of such portion; provided that, for any calendar month
          during which the average of such values exceeds $1,000,000,000,









                                          5


          the fee payable for that month based on the portion of the
          average of such values in excess of $1,000,000,000 shall be 1/12
          of .41 of 1 percent of such portion; provided that, for any
          calendar month during which the average of such values exceeds
          $2,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of $2,500,000,000 
          shall be 1/12 of .40 of 1 percent of such portion; provided that,
          for any calendar month during which the average of such values
          exceeds $5,000,000,000, the fee payable for that month based on
          the portion of the average of such values in excess of
          $5,000,000,000 shall be 1/12 of .38 of 1 percent of such portion;
          provided that, for any calendar month during which the average of
          such values exceeds $7,500,000,000, the fee payable for that
          month based on the portion of the average of such values in
          excess of $7,500,000,000 shall be 1/12 of  .36 of 1 percent of
          such portion; provided that, for any calendar month during which
          the average of such values exceeds 10,000,000,000, the fee
          payable for that month based on the portion of the average of
          such values in excess of $10,000,000,000 shall be 1/12 of .34 of
          1 percent of such portion; and provided that, for any calendar
          month during which the average of such values exceeds
          $12,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of
          $12,500,000,000 shall be 1/12 of .32 of 1 percent of such
          portion; over (b) the greater of (i) the amount by which the
          Fund's expenses exceed 1% of average daily net assets or (ii) any
          compensation waived by you from time to time (as more fully
          described below).  You shall be entitled to receive during any
          month such interim payments of your fee hereunder as you shall
          request, provided that no such payment shall exceed 75 percent of
          the amount of your fee then accrued on the books of the Fund and
          unpaid.

          The "average daily net assets" of the Fund shall mean the average
          of the values placed on the Fund's net assets as of 4:00 p.m.
          (New York time) on each day on which the net asset value of the
          Fund is determined consistent with the provisions of Rule 22c-1
          under the 1940 Act or, if the Fund lawfully determines the value
          of its net assets as of some other time on each business day, as
          of such time.  The value of the net assets of the Fund shall
          always be determined pursuant to the applicable provisions of the
          Declaration and the Registration Statement.  If the determination
          of net asset value does not take place for any particular day,
          then for the purposes of this section 5, the value of the net
          assets of the Fund as last determined shall be deemed to be the
          value of its net assets as of 4:00 p.m. (New York time), or as of
          such other time as the value of the net assets of the Fund's
          portfolio may be lawfully determined on that day.  If the Fund
          determines the value of the net assets of its portfolio more than
          once on any day, then the last such determination thereof on that
          day shall be deemed to be the sole determination thereof on that
          day for the purposes of this section 5.

                                          6


          You agree that your gross compensation for any fiscal year shall
          not be greater than an amount which, when added to other expenses
          of the Fund, shall cause the aggregate expenses of the Fund to
          equal 1% of average daily net assets.  Except to the extent that
          such amount has been reflected in reduced payments to you, you
          shall refund to the Fund the amount of any payment received in
          excess of the limitation pursuant to this section 5 as promptly
          as practicable after the end of such fiscal year, provided that
          you shall not be required to pay the Fund an amount greater than
          the fee paid to you in respect of such year pursuant to this
          Agreement.  As used in this section 5, "expenses" shall mean
          those expenses included in the applicable expense limitation
          having the broadest specifications thereof, and "expense
          limitation" means a limit on the maximum annual expenses which
          may be incurred by an investment company determined (i) by
          multiplying a fixed percentage by the average, or by multiplying
          more than one such percentage by different specified amounts of
          the average, of the values of an investment company's net assets
          for a fiscal year or (ii) by multiplying a fixed percentage by an
          investment company's net investment income for a fiscal year.

          You may waive all or a portion of your fees provided for
          hereunder and such waiver shall be treated as a reduction in
          purchase price of your services.  You shall be contractually
          bound hereunder by the terms of any publicly announced waiver of
          your fee, or any limitation of the Fund's expenses, as if such
          waiver or limitation were fully set forth herein.

          6.   Avoidance of Inconsistent Position; Services Not Exclusive.
          In connection with purchases or sales of portfolio securities and
          other investments for the account of the Fund, neither you nor
          any of your directors, officers or employees shall act as a
          principal or agent or receive any commission.  You or your agent
          shall arrange for the placing of all orders for the purchase and
          sale of portfolio securities and other investments for the Fund's
          account with brokers or dealers selected by you in accordance
          with Fund policies as expressed in the Registration Statement. 
          If any occasion should arise in which you give any advice to
          clients of yours concerning the Shares of the Fund, you shall act
          solely as investment counsel for such clients and not in any way
          on behalf of the Fund.

          Your services to the Fund pursuant to this Agreement are not to
          be deemed to be exclusive and it is understood that you may
          render investment advice, management and services to others.  In
          acting under this Agreement, you shall be an independent
          contractor and not an agent of the Trust.  Whenever the Fund and
          one or more other accounts or investment companies advised by you
          have available funds for investment, investments suitable and
          appropriate for each shall be allocated in accordance with
          procedures believed by you to be equitable to each entity.
          Similarly, opportunities to sell securities shall be allocated in

                                          7


          a manner believed by you to be equitable.  The Fund recognizes
          that in some cases this procedure may adversely affect the size
          of the position that may be acquired or disposed of for the Fund.

          7.   Limitation of Liability of Manager.  As an inducement to
          your undertaking to render services pursuant to this Agreement,
          the Trust agrees that you shall not be liable under this
          Agreement for any error of judgment or mistake of law or for any
          loss suffered by the Fund in connection with the matters to which
          this Agreement relates, provided that nothing in this Agreement
          shall be deemed to protect or purport to protect you against any
          liability to the Trust, the Fund or its shareholders to which you
          would otherwise be subject by reason of willful misfeasance, bad
          faith or gross negligence in the performance of your duties, or
          by reason of your reckless disregard of your obligations and
          duties hereunder.

          8.   Duration and Termination of This Agreement.  This Agreement
          shall remain in force until March 1, 1998, and continue in force
          from year to year thereafter, but only so long as such
          continuance is specifically approved at least annually (a) by the
          vote of a majority of the Trustees who are not parties to this
          Agreement or interested persons of any party to this Agreement,
          cast in person at a meeting called for the purpose of voting on
          such approval, and (b) by the Trustees of the Trust, or by the
          vote of a majority of the outstanding voting securities of the
          Fund. The aforesaid requirement that continuance of this
          Agreement be "specifically approved at least annually" shall be
          construed in a manner consistent with the 1940 Act and the rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          This Agreement may be terminated with respect to the Fund at any
          time, without the payment of any penalty, by the vote of a
          majority of the outstanding voting securities of the Fund or by
          the Trust's Board of Trustees on 60 days' written notice to you,
          or by you on 60 days' written notice to the Trust.  This
          Agreement shall terminate automatically in the event of its
          assignment.

          This Agreement may be terminated with respect to the Fund at any
          time without the payment of any penalty by the Board of Trustees
          or by vote of a majority of the outstanding voting securities of
          the Fund in the event that it shall have been established by a
          court of competent jurisdiction that you or any of your officers
          or directors has taken any action which results in a breach of
          your covenants set forth herein.

          9.   Amendment of this Agreement.  No provision of this Agreement
          may be changed, waived, discharged or terminated orally, but only
          by an instrument in writing signed by the party against whom
          enforcement of the change, waiver, discharge or termination is

                                          8


          sought, and no amendment of this Agreement shall be effective
          until approved in a manner consistent with the 1940 Act and rules
          and regulations thereunder and any applicable SEC exemptive order
          therefrom.

          10.  Limitation of Liability for Claims.  The Declaration, a copy
          of which, together with all amendments thereto, is on file in the
          Office of the Secretary of the Commonwealth of Massachusetts,
          provides that the name "Kemper National Tax-Free Income Series"
          refers to the Trustees under the Declaration collectively as
          Trustees and not as individuals or personally, and that no
          shareholder of the Fund, or Trustee, officer, employee or agent
          of the Trust, shall be subject to claims against or obligations
          of the Trust or of the Fund to any extent whatsoever, but that
          the Trust estate only shall be liable.

          You are hereby expressly put on notice of the limitation of
          liability as set forth in the Declaration and you agree that the
          obligations assumed by the Trust on behalf of the Fund pursuant
          to this Agreement shall be limited in all cases to the Fund and
          its assets, and you shall not seek satisfaction of any such
          obligation from the shareholders or any shareholder of the Fund
          or any other series of the Trust, or from any Trustee, officer,
          employee or agent of the Trust.  You understand that the rights
          and obligations of each Fund, or series, under the Declaration
          are separate and distinct from those of any and all other series.

          11.  Miscellaneous.  The captions in this Agreement are included
          for convenience of reference only and in no way define or limit
          any of the provisions hereof or otherwise affect their
          construction or effect.  This Agreement may be executed
          simultaneously in two or more counterparts, each of which shall
          be deemed an original, but all of which together shall constitute
          one and the same instrument.

          In interpreting the provisions of this Agreement, the definitions
          contained in Section 2(a) of the 1940 Act (particularly the
          definitions of "affiliated person," "assignment" and "majority of
          the outstanding voting securities"), as from time to time
          amended, shall be applied, subject, however, to such exemptions
          as may be granted by the SEC by any rule, regulation or order.

          This Agreement shall be construed in accordance with the laws of
          the Commonwealth of Massachusetts, provided that nothing herein
          shall be construed in a manner inconsistent with the 1940 Act, or
          in a manner which would cause the Fund to fail to comply with the
          requirements of Subchapter M of the Code.

          This Agreement shall supersede all prior investment advisory or
          management agreements entered into between you and the Trust on
          behalf of the Fund.













                                          9


          If you are in agreement with the foregoing, please execute the
          form of acceptance on the accompanying counterpart of this letter
          and return such counterpart to the Trust, whereupon this letter
          shall become a binding contract effective as of the date of this
          Agreement.

                                        Yours very truly,

                                        KEMPER NATIONAL TAX-FREE INCOME
                                        SERIES, on behalf of Kemper
                                        Municipal Bond Fund

                                        By:  /s/ John E. Neal
                                           -----------------------------
                                             Vice President


          The foregoing Agreement is hereby accepted as of the date hereof.



                                        SCUDDER KEMPER INVESTMENTS, INC.


                                        By:  /s/ Lynn S. Birdsong
                                           ------------------------------
                                             Vice President




          MRB|W:\FUNDS\NSAR.EXH\KNTIS\77Q-398.MBF|050898














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