KEMPER HORIZON FUND
NSAR-A, 1996-03-29
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<PAGE>      PAGE  1
000 A000000 01/31/96
000 C000000 0001001983
000 D000000 N
000 E000000 F
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 KEMPER HORIZON FUND
001 B000000 811-7365
001 C000000 3127811121
002 A000000 120 SOUTH LASALLE STREET
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60603
003  000000 Y
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  3
007 C010100  1
007 C020100 KEMPER HORIZON 20+ PORTFOLIO
007 C030100 N
007 C010200  2
007 C020200 KEMPER HORIZON 10+ PORTFOLIO
007 C030200 N
007 C010300  3
007 C020300 KEMPER HORIZON 5 PORTFOLIO
007 C030300 N
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 ZURICH KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-6634
008 D01AA01 CHICAGO
008 D02AA01 IL
008 D03AA01 60603
008 A00AA02 DREMAN VALUE ADVISORS, INC.
008 B00AA02 S
008 C00AA02 801-35060
008 D01AA02 JERSEY CITY
008 D02AA02 NJ
008 D03AA02 07302
010 A00AA01 KEMPER DISTRIBUTORS, INC.
<PAGE>      PAGE  2
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60603
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60603
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 KEMPER DISTRIBUTORS, INC.
014 B00AA01 8-47765
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 E01AA01 X
015 A00AA02 CHASE MANHATTAN BANK, N.A.
015 B00AA02 C
015 C01AA02 BROOKLYN
015 C02AA02 NY
015 C03AA02 11245
015 E04AA02 X
015 A00AA03 STATE STREET BANK AND TRUST COMPANY
015 B00AA03 S
015 C01AA03 BOSTON
015 C02AA03 MA
015 C03AA03 02110
015 E01AA03 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   53
019 C00AA00 KEMPERFNDS
020 A000001 SALOMON BROTHERS, INC.
020 B000001 13-3082694
020 C000001      2
020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
<PAGE>      PAGE  3
020 C000008      0
020 C000009      0
020 C000010      0
021  000000        2
022 A000001 THE FIRST NATONAL BANK OF CHICAGO
022 B000001 36-0899825
022 C000001       997
022 D000001       599
022 A000002 SALOMON BROTHERS, INC.
022 B000002 13-3082694
022 C000002      1591
022 D000002         0
022 A000003 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000003 13-5674085
022 C000003       441
022 D000003       160
022 A000004 BEAR STEARNS & CO. INC.
022 B000004 13-3299429
022 C000004       270
022 D000004         0
022 A000005 CS FIRST BOSTON, INC.
022 B000005 13-5659485
022 C000005       180
022 D000005         0
022 A000006 PAINEWEBBER INCORPORATED
022 B000006 13-2638166
022 C000006       132
022 D000006         0
022 A000007 SMITH BARNEY SHEARSON
022 B000007 13-1912900
022 C000007       107
022 D000007        20
022 A000008 UBS SECURITIES
022 B000008 13-2932996
022 C000008       123
022 D000008         0
022 A000009 LEMAN BROTHERS, INC.
022 B000009 13-2518466
022 C000009        82
022 D000009         0
022 A000010 ALEX BROWN & SONS INCORPORATED
022 B000010 52-0256630
022 C000010        40
022 D000010         0
023 C000000       3985
023 D000000        779
024  00AA00 Y
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
<PAGE>      PAGE  4
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026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 Y
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035  00AA00      0
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039  00AA00 N
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041  00AA00 Y
045  00AA00 Y
046  00AA00 N
047  00AA00 Y
048  00AA00  0.000
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048 A02AA00 0.580
048 B01AA00  1000000
048 B02AA00 0.550
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048 C02AA00 0.530
048 D01AA00  5000000
048 D02AA00 0.510
048 E01AA00  7500000
048 E02AA00 0.480
048 F01AA00 10000000
048 F02AA00 0.460
048 G01AA00 12500000
048 G02AA00 0.440
048 H01AA00        0
048 H02AA00 0.000
048 I01AA00        0
048 I02AA00 0.000
048 J01AA00        0
048 J02AA00 0.000
048 K01AA00 12500000
048 K02AA00 0.420
049  00AA00 N
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 Y
053 B00AA00 Y
053 C00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
<PAGE>      PAGE  5
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
062 A00AA00 N
062 B00AA00   0.0
062 C00AA00   0.0
062 D00AA00   0.0
062 E00AA00   0.0
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062 P00AA00   0.0
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062 R00AA00   0.0
077 A000000 Y
077 B000000 N
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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
<PAGE>      PAGE  6
077 N000000 N
077 O000000 N
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077 Q020000 N
077 Q030000 N
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086 E020000      0
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086 F020000      0
025 A000101 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000101 13-5674085
025 C000101 E
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<PAGE>      PAGE  7
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028 G040100         0
028 H000100       170
029  000100 Y
030 A000100      8
030 B000100  5.75
030 C000100  0.00
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031 B000100      0
032  000100      8
033  000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100 100
043  000100      0
044  000100     19
066 A000100 Y
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066 C000100 N
066 D000100 Y
066 E000100 N
066 F000100 N
066 G000100 N
067  000100 N
068 A000100 N
068 B000100 N
069  000100 N
070 A010100 Y
070 A020100 N
070 B010100 Y
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 Y
070 D020100 N
070 E010100 Y
070 E020100 N
070 F010100 Y
070 F020100 N
070 G010100 Y
070 G020100 N
<PAGE>      PAGE  8
070 H010100 Y
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 Y
070 L020100 Y
070 M010100 Y
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 Y
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100       840
071 B000100         6
071 C000100       430
071 D000100   17
072 A000100  1
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072 Q000100        0
072 R000100        0
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072 T000100        0
072 U000100        0
072 V000100        0
072 W000100        1
072 X000100        1
072 Y000100        0
<PAGE>      PAGE  9
072 Z000100        0
072AA000100        0
072BB000100        1
072CC010100       27
072CC020100        0
072DD010100        0
072DD020100        0
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073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.0000
073 C000100   0.0000
074 A000100      158
074 B000100        0
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074 D000100      124
074 E000100        0
074 F000100      735
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        6
074 K000100        0
074 L000100      225
074 M000100        0
074 N000100     1388
074 O000100      364
074 P000100        0
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100        1
074 S000100        0
074 T000100     1023
074 U010100       31
074 U020100       73
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100      193
074 Y000100        0
075 A000100        0
075 B000100      512
076  000100     0.00
025 A000201 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000201 13-5674085
025 C000201 E
025 D000201      17
025 D000202       0
025 D000203       0
<PAGE>      PAGE  10
025 D000204       0
025 D000205       0
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200         0
028 A020200         0
028 A030200         0
028 A040200         0
028 B010200         0
028 B020200         0
028 B030200         0
028 B040200         0
028 C010200         0
028 C020200         0
028 C030200         0
028 C040200         0
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028 D040200         0
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028 E030200         0
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028 F010200      1223
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028 F030200         0
028 F040200         0
028 G010200      1223
028 G020200         0
028 G030200         0
028 G040200         0
028 H000200       764
029  000200 Y
030 A000200     29
030 B000200  5.75
030 C000200  0.00
031 A000200      0
031 B000200      0
032  000200     29
033  000200      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      0
<PAGE>      PAGE  11
044  000200      8
066 A000200 Y
066 B000200 N
066 C000200 N
066 D000200 N
066 E000200 Y
066 F000200 N
066 G000200 N
067  000200 N
068 A000200 N
068 B000200 N
069  000200 N
070 A010200 Y
070 A020200 N
070 B010200 Y
070 B020200 N
070 C010200 Y
070 C020200 N
070 D010200 Y
070 D020200 N
070 E010200 Y
070 E020200 N
070 F010200 Y
070 F020200 N
070 G010200 Y
070 G020200 N
070 H010200 Y
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
070 J020200 N
070 K010200 N
070 K020200 N
070 L010200 Y
070 L020200 Y
070 M010200 Y
070 M020200 N
070 N010200 Y
070 N020200 N
070 O010200 Y
070 O020200 N
070 P010200 N
070 P020200 N
070 Q010200 N
070 Q020200 N
070 R010200 N
070 R020200 N
071 A000200      1315
071 B000200        12
071 C000200       671
<PAGE>      PAGE  12
071 D000200   21
072 A000200  1
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<PAGE>      PAGE  13
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028 A010300         0
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<PAGE>      PAGE  14
030 B000300  5.75
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066 A000300 Y
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066 D000300 N
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070 E020300 N
070 F010300 Y
070 F020300 N
070 G010300 Y
070 G020300 N
070 H010300 Y
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
070 J020300 N
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 Y
<PAGE>      PAGE  15
070 M010300 Y
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070 O010300 Y
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070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
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<PAGE>      PAGE  16
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SIGNATURE   JEROME L DUFFY                               
TITLE       TREASURER           
 


<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 10
   <NAME> KEMPER HORIZON 20+ COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                          972,000
<INVESTMENTS-AT-VALUE>                         999,000
<RECEIVABLES>                                  231,000
<ASSETS-OTHER>                                 158,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               1,388,000
<PAYABLE-FOR-SECURITIES>                       364,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                            365,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       996,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (1,000)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        27,000
<NET-ASSETS>                                 1,023,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       27,000
<NET-CHANGE-FROM-OPS>                           26,000
<EQUALIZATION>                                   1,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                         923,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (1,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (1,000)
<AVERAGE-NET-ASSETS>                           511,673
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 11
   <NAME> KEMPER HORIZON 20+ CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           30,648
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   301,440
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         27,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .34
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.84
<EXPENSE-RATIO>                                   .001
<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 JANUARY, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 12
   <NAME> KEMPER HORIZON 20+ CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           69,736
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   685,248
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         67,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .33
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.83
<EXPENSE-RATIO>                                   .002
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 13
   <NAME> KEMPER HORIZON 20+ CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                            3,695
<SHARES-COMMON-PRIOR>                                4
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    36,312
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            100
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .33
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.83
<EXPENSE-RATIO>                                   .002
<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 JANUARY 31,1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 20
   <NAME> KEMPER HORIZON 10+ COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                        1,301,000
<INVESTMENTS-AT-VALUE>                       1,342,000
<RECEIVABLES>                                  164,000
<ASSETS-OTHER>                                 193,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                               1,699,000
<PAYABLE-FOR-SECURITIES>                       336,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                            337,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                     1,321,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (2,000)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        41,000
<NET-ASSETS>                                 1,362,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                2,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (2,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       41,000
<NET-CHANGE-FROM-OPS>                           39,000
<EQUALIZATION>                                   2,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                       1,262,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (2,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (2,000)
<AVERAGE-NET-ASSETS>                           681,179
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<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 JANUARY 31,1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 21
   <NAME> KEMPER HORIZON 10+ CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           95,679
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   932,392
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         93,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .25
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.75
<EXPENSE-RATIO>                                   .003
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 22
   <NAME> KEMPER HORIZON 10+ CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           39,279
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   382,403
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         36,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .24
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.74
<EXPENSE-RATIO>                                   .003
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 23
   <NAME> KEMPER HORIZON 10+ CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                            4,846
<SHARES-COMMON-PRIOR>                                4
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    47,205
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,300
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .24
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.74
<EXPENSE-RATIO>                                   .003
<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 JANUARY, 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 30
   <NAME> KEMPER HORIZON 5 COMBINED
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                          632,000
<INVESTMENTS-AT-VALUE>                         648,000
<RECEIVABLES>                                   86,000
<ASSETS-OTHER>                                  70,000
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 804,000
<PAYABLE-FOR-SECURITIES>                        67,000
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,000
<TOTAL-LIABILITIES>                             68,000
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       719,000
<SHARES-COMMON-STOCK>                                0
<SHARES-COMMON-PRIOR>                                0
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                        16,000
<NET-ASSETS>                                   736,000
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                1,000
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                 (1,000)
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                       16,000
<NET-CHANGE-FROM-OPS>                           16,000
<EQUALIZATION>                                   1,000
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              0
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                         636,000
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                          (1,000)
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                (1,000)
<AVERAGE-NET-ASSETS>                           368,229
<PER-SHARE-NAV-BEGIN>                                0
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                              0
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                                  0
<EXPENSE-RATIO>                                      0
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE DATA 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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 31
   <NAME> KEMPER HORIZON 5 CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           20,934
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   203,590
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         18,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .23
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.73
<EXPENSE-RATIO>                                   .001
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 32
   <NAME> KEMPER HORIZON 5 CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                           50,658
<SHARES-COMMON-PRIOR>                                3
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                   492,692
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                         48,000
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .23
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.73
<EXPENSE-RATIO>                                   .002
<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 JANUARY 31, 1996 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 33
   <NAME> KEMPER HORIZON 5 CLASS C
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1996
<PERIOD-END>                               JAN-31-1996
<INVESTMENTS-AT-COST>                                0
<INVESTMENTS-AT-VALUE>                               0
<RECEIVABLES>                                        0
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                       0
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                            0
<TOTAL-LIABILITIES>                                  0
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                             0
<SHARES-COMMON-STOCK>                            4,082
<SHARES-COMMON-PRIOR>                                4
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                              0
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                             0
<NET-ASSETS>                                    39,718
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                    0
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                       0
<NET-INVESTMENT-INCOME>                              0
<REALIZED-GAINS-CURRENT>                             0
<APPREC-INCREASE-CURRENT>                            0
<NET-CHANGE-FROM-OPS>                                0
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            500
<NUMBER-OF-SHARES-REDEEMED>                          0
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                               0
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                            0
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                                0
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                      0
<AVERAGE-NET-ASSETS>                                 0
<PER-SHARE-NAV-BEGIN>                             9.50
<PER-SHARE-NII>                                      0
<PER-SHARE-GAIN-APPREC>                            .23
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                               9.73
<EXPENSE-RATIO>                                   .002
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>







          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365


                           INVESTMENT MANAGEMENT AGREEMENT


               AGREEMENT made this 4th day of January, 1996, by and between
          KEMPER HORIZON FUND, a Massachusetts business trust (the "Fund"),
          and KEMPER FINANCIAL SERVICES, INC., a Delaware corporation (the
          "Adviser").

               WHEREAS, the Fund is an open-end management investment
          company registered under the Investment Company Act of 1940, the
          shares of beneficial interest ("Shares") of which are registered
          under the Securities Act of 1933;

               WHEREAS, the Fund is authorized to issue Shares in separate
          series or portfolios with each representing the interests in a
          separate portfolio of securities and other assets;

               WHEREAS, the Fund currently offers or intends to offer
          Shares in three portfolios, the Kemper Horizon 20+ Portfolio, the
          Kemper 10+ Portfolio and the Kemper Horizon 5 Portfolio (the
          "Initial Portfolios"), together with any other Fund portfolios
          which may be established later and served by the Adviser
          hereunder, being herein referred to collectively as the
          "Portfolios" and individually referred to as a "Portfolio"; and

               WHEREAS, the Fund desires at this time to retain the Adviser
          to render investment advisory and management services to the
          Initial Portfolios, and the Adviser is willing to render such
          services;

               NOW THEREFORE, in consideration of the mutual covenants
          hereinafter contained, it is hereby agreed by and between the
          parties hereto as follows:

          1.   The Fund hereby employs the Adviser to act as the investment
          adviser for the Initial Portfolios and other Portfolios hereunder
          and to manage the investment and reinvestment of the assets of
          each such Portfolio in accordance with the applicable investment
          objectives and policies and limitations, and to administer the
          affairs of each such Portfolio to the extent requested by and
          subject to the supervision of the Board of Trustees of the Fund
          for the period and upon the terms herein set forth, and to place
          orders for the purchase or sale of portfolio securities for the
          Fund's account with brokers or dealers selected by it; and, in
          connection therewith, the Adviser is authorized as the agent of
          the Fund to give instructions to the Custodian of the Fund as to
          the deliveries of securities and payments of cash for the account













          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 2


          of the Fund.  In connection with the selection of such brokers or
          dealers and the placing of such orders, the Adviser is directed
          to seek for the Fund best execution of orders.  Subject to such
          policies as the Board of Trustees of the Fund determines, the
          Adviser shall not be deemed to have acted unlawfully or to have
          breached any duty, created by this Agreement or otherwise, solely
          by reason of its having caused the Fund to pay a broker or dealer
          an amount of commission for effecting a securities transaction in
          excess of the amount of commission another broker or dealer would
          have charged for effecting that transaction, if the Adviser
          determined in good faith that such amount of commission was
          reasonable in relation to the value of the brokerage and research
          services provided by such broker or dealer viewed in terms of
          either that particular transaction or the Adviser's overall
          responsibilities with respect to the clients of the Adviser as to
          which the Adviser exercises investment discretion.  The Fund
          recognizes that all research services and research that the
          Adviser receives or generates are available for all clients, and
          that the Fund and other clients may benefit thereby.  The
          investment of funds shall be subject to all applicable
          restrictions of the Agreement and Declaration of Trust and By-
          Laws of the Fund as may from time to time be in force.

               The Adviser accepts such employment and agrees during such
          period to render such services, to furnish office facilities and
          equipment and clerical, bookkeeping and administrative services
          for the Fund, to permit any of its officers or employees to serve
          without compensation as trustees or officers of the Fund if
          elected to such positions and to assume the obligations herein
          set forth for the compensation herein provided.  The Adviser
          shall for all purposes herein provided be deemed to be an
          independent contractor and, unless otherwise expressly provided
          or authorized, shall have no authority to act for or represent
          the Fund in any way or otherwise be deemed an agent of the Fund. 
          It is understood and agreed that the Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

          2.   In the event that the Fund establishes one or more
          portfolios other than the Initial Portfolios with respect to
          which it desires to retain the Adviser to render investment
          advisory and management services hereunder, it shall notify the
          Adviser in writing.  If the Adviser is willing to render such
          services, it shall notify the Fund in writing whereupon such
          portfolio or portfolios shall become a Portfolio or Portfolios
          hereunder.













          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 3


          3.   For the services and facilities described in Section 1, the
          Fund will pay to the Adviser at the end of each calendar month,
          an investment management fee for each Portfolio computed by
          applying the following annual rates to the applicable average
          daily net assets of the Portfolio:

                   Applicable Average
                    Daily Net Assets
                      (Thousands)                    Annual Rate
                   ------------------                -----------

                        $0 - $   250,000             .58 of 1%
               $   250,000 - $ 1,000,000             .55 of 1%
               $ 1,000,000 - $ 2,500,000             .53 of 1%
               $ 2,500,000 - $ 5,000,000             .51 of 1%
               $ 5,000,000 - $ 7,500,000             .48 of 1%
               $ 7,500,000 - $10,000,000             .46 of 1%
               $10,000,000 - $12,500,000             .44 of 1%
                        Over $12,500,000             .42 of 1%

               The fee as computed above shall be computed separately for,
          and charged as an expense of, each Portfolio based upon the
          average daily net assets of such Portfolio.  For the month and
          year in which this Agreement becomes effective or terminates,
          there shall be an appropriate proration on the basis of the
          number of days that the Agreement is in effect during the month
          and year, respectively.

          4.   The services of the Adviser to the Fund under this Agreement
          are not to be deemed exclusive, and the Adviser shall be free to
          render similar services or other services to others so long as
          its services hereunder are not impaired thereby.

          5.   In addition to the fee of the Adviser, the Fund shall assume
          and pay any expenses for services rendered by a custodian for the
          safekeeping of the Fund's securities or other property, for
          keeping its books of account, for any other charges of the
          custodian, and for calculating the net asset value of the Fund as
          provided in the prospectus of the Fund.  The Adviser shall not be
          required to pay and the Fund shall assume and pay the charges and
          expenses of its operations, including compensation of the
          trustees (other than those affiliated with the Adviser), charges
          and expenses of independent auditors, of legal counsel, of any
          transfer or dividend disbursing agent, and of any registrar of
          the Fund, costs of acquiring and disposing of portfolio
          securities, interest, if any, on obligations incurred by the













          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 4


          Fund, costs of share certificates and of reports, membership dues
          in the Investment Company Institute or any similar organization,
          costs of reports and notices to shareholders, other like
          miscellaneous expenses and all taxes and fees payable to federal,
          state or other governmental agencies on account of the
          registration of securities issued by the Fund, filing of trust
          documents or otherwise.  The Fund shall not pay or incur any
          obligation for any expenses for which the Fund intends to seek
          reimbursement from the Adviser as herein provided without first
          obtaining the written approval of the Adviser.  The Adviser shall
          arrange, if desired by the Fund, for officers or employees of the
          Adviser to serve, without compensation from the Fund, as
          trustees, officers or agents of the Fund if duly elected or
          appointed to such positions and subject to their individual
          consent and to any limitations imposed by law.

               If expenses borne by the Fund for those Portfolios which the
          Adviser manages in any fiscal year (including the Adviser's fee,
          but excluding interest, taxes, fees incurred in acquiring and
          disposing of portfolio securities, distribution services fees,
          extraordinary expenses and any other expenses excludable under
          state securities law limitations) exceed any applicable
          limitation arising under state securities laws, the Adviser will
          reduce its fee or reimburse the Fund for any excess to the extent
          required by such state securities laws.  If for any month the
          expenses of the Fund properly chargeable to the income account
          shall exceed 1/12 of the percentage of average net assets
          allowable as expenses, the payment to the Adviser for that month
          shall be reduced and if necessary the Adviser shall make a refund
          payment to the Fund so that the total net expense will not exceed
          such percentage.  As of the end of the Fund's fiscal year,
          however, the foregoing computations and payments shall be
          readjusted so that the aggregate compensation payable to the
          Adviser for the year is equal to the percentage calculated in
          accordance with Section 3 hereof of the average net asset value
          as determined as described herein throughout the fiscal year,
          diminished to the extent necessary so that the total of the
          aforementioned expense items of the Fund shall not exceed the
          expense limitation.  The aggregate of repayments, if any, by the
          Adviser to the Fund for the year shall be the amount necessary to
          limit the said net expense to said percentage in accordance with
          the foregoing.

               The net asset value for each Portfolio shall be calculated
          in accordance with the provisions of the Fund's prospectus or as
          the trustees may determine in accordance with the provisions of













          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 5


          the Investment Company Act of 1940.  On each day when net asset
          value is not calculated, the net asset value of a Portfolio shall
          be deemed to be the net asset value of such Portfolio as of the
          close of business on the last day on which such calculation was
          made for the purpose of the foregoing computations.

          6.   Subject to applicable statutes and regulations, it is
          understood that trustees, officers or agents of the Fund are or
          may be interested in the Adviser as officers, directors, agents,
          shareholders or otherwise, and that the officers, directors,
          shareholders and agents of the Adviser may be interested in the
          Fund otherwise than as a trustee, officer or agent.

          7.   The Adviser shall not be liable for any error of judgment or
          of law or for any loss suffered by the Fund in connection with
          the matters to which this Agreement relates, except loss
          resulting from willful misfeasance, bad faith or gross negligence
          on the part of the Adviser in the performance of its obligations
          and duties or by reason of its reckless disregard of its
          obligations and duties under this Agreement.

          8.   This Agreement shall become effective with respect to the
          Initial Portfolios on the date hereof and shall remain in full
          force until April 1, 1997, unless sooner terminated as
          hereinafter provided.  This Agreement shall continue in force
          from year to year thereafter with respect to each Portfolio, but
          only as long as such continuance is specifically approved for
          each Portfolio at least annually in the manner required by the
          Investment Company Act of 1940 and the rules and regulations
          thereunder; provided, however, that if the continuation of this
          Agreement is not approved for a Portfolio, the Adviser may
          continue to serve in such capacity for such Portfolio in the
          manner and to the extent permitted by the Investment Company Act
          of 1940 and the rules and regulations thereunder.

               This Agreement shall automatically terminate in the event of
          its assignment and may be terminated at any time without the
          payment of any penalty by the Fund or by the Adviser on sixty
          (60) days written notice to the other party.  The Fund may effect
          termination with respect to any Portfolio by action of the Board
          of Trustees or by vote of a majority of the outstanding voting
          securities of such Portfolio.

               This Agreement may be terminated with respect to any
          Portfolio 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 such Portfolio in the event that it shall












          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 6


          have been established by a court of competent jurisdiction that
          the Adviser or any officer or director of the Adviser has taken
          any action which results in a breach of the covenants of the
          Adviser set forth herein.

               The terms "assignment" and "vote of a majority of the
          outstanding voting securities" shall have the meanings set forth
          in the Investment Company Act of 1940 and the rules and
          regulations thereunder.

               Termination of this Agreement shall not affect the right of
          the Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

          9.   If any provision of this Agreement shall be held or made
          invalid by a court decision, statute, rule or otherwise, the
          remainder shall not be thereby affected.

          10.   Any notice under this Agreement shall be in writing,
          addressed and delivered or mailed, postage prepaid, to the other
          party at such address as such other party may designate for the
          receipt of such notice.

          11.   All parties hereto are expressly put on notice of the
          Fund's Agreement and Declaration of Trust and all amendments
          thereto, all of which are on file with the Secretary of The
          Commonwealth of Massachusetts, and the limitation of shareholder
          and trustee liability contained therein.  This Agreement has been
          executed by and on behalf of the Fund by its representatives as
          such representatives and not individually, and the obligations of
          the Fund hereunder are not binding upon any of the trustees,
          officers, or shareholders of the Fund individually but are
          binding upon only the assets and property of the Fund.  With
          respect to any claim by the Adviser for recovery of that portion
          of the investment management fee (or any other liability of the
          Fund arising hereunder) allocated to a particular Portfolio,
          whether in accordance with the express terms hereof or otherwise,
          the Adviser shall have recourse solely against the assets of that
          Portfolio to satisfy such claim and shall have no recourse
          against the assets of any other Portfolio for such purpose.

          12.   This Agreement shall be construed in accordance with
          applicable federal law and (except as to Section 11 hereof which















          Exhibit 77Q1(e)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/96 
          File No. 811-7365
          Page 7


          shall be construed in accordance with the laws of The
          Commonwealth of Massachusetts) the laws of the State of Illinois.

          13.   This Agreement is the entire contract between the parties
          relating to the subject matter hereof and supersedes all prior
          agreements between the parties relating to the subject matter
          hereof.

               IN WITNESS WHEREOF, the Fund and the Adviser have caused
          this Agreement to be executed as of the day and year first above
          written.

                                       KEMPER HORIZON FUND

                                       By:  /s/ John E. Peters
                                          ---------------------------

                                       Title:  Vice President
                                             ------------------------

          ATTEST:

          /s/ Philip J. Collora
          -----------------------------

          Title:  Secretary
                -----------------------


                                       KEMPER FINANCIAL SERVICES, INC.

                                       By:  /s/ Patrick H. Dudasik
                                          ---------------------------

                                       Title:  Senior Vice President
                                             ------------------------

          ATTEST:

          /s/ David F. Dierenfeldt
          -----------------------------

          Title:  Assistant Secretary
                -----------------------

          MRB|W:\FUNDS\NSAR.EXH\KHF.77Q|031896










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