KEMPER HORIZON FUND
NSAR-A, 1997-03-27
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<PAGE>      PAGE  1
000 A000000 01/31/97
000 C000000 0001001983
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 HORIZON FUND
001 B000000 811-7365
001 C000000 3125377000
002 A000000 222 SOUTH RIVERSIDE PLAZA
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
003  000000 N
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 60606
008 A00AA02 DREMAN VALUE ADVISORS, INC.
008 B00AA02 S
008 C00AA02 801-35060
008 D01AA02 JERSEY CITY
008 D02AA02 NJ
008 D03AA02 07302
008 A00AA03 ZURICH INVESTMENT MANAGEMENT LIMITED
<PAGE>      PAGE  2
008 B00AA03 S
008 C00AA03 801-45306
008 D01AA03 LONDON
008 D05AA03 UK
008 D06AA03 EC4M7RQ
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
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 KEMPER DISTRIBUTORS, INC.
014 B00AA01 8-47765
014 A00AA02 GRUNTAL SECURITIES, INC.
014 B00AA02 8-31022
014 A00AA03 THE GMS GROUP, INC.
014 B00AA03 8-23936
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
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   57
<PAGE>      PAGE  3
019 C00AA00 KEMPERFNDS
020 A000001 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
020 B000001 13-5674085
020 C000001     18
020 A000002 TIR SECURITIES TIEDEMANN
020 B000002 UNKNOWN
020 C000002     14
020 A000003 SALOMON BROTHERS INC.
020 B000003 13-3082694
020 C000003     11
020 A000004 ALEX. BROWN & SONS INCORPORATED
020 B000004 52-0256630
020 C000004     10
020 A000005 MORGAN STANLEY & CO. INCORPORATED
020 B000005 13-2655998
020 C000005      8
020 A000006 DUNLEVY & CO., INC.
020 B000006 13-2919975
020 C000006      7
020 A000007 SMITH BARNEY INC.
020 B000007 13-1912900
020 C000007      7
020 A000008 STANDARD & POOR'S SECURITIES, INC.
020 B000008 13-2671951
020 C000008      4
020 A000009 BERNSTEIN (SANFORD C.) & CO., INC.
020 B000009 13-2625874
020 C000009      4
020 A000010 FRIEDMAN, BILLINGS, RAMSEY & CO., INC.
020 B000010 52-1630477
020 C000010      4
021  000000      132
022 A000001 BEAR, STEARNS & CO., INC.
022 B000001 13-3299429
022 C000001     14071
022 D000001     14546
022 A000002 FIRST CHICAGO NBD CORP.
022 B000002 36-0899825
022 C000002     18741
022 D000002      9127
022 A000003 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000003 13-5674085
022 C000003     15604
022 D000003     11225
022 A000004 PAINEWEBBER INCORPORATED
022 B000004 13-2638166
022 C000004     11802
022 D000004       413
022 A000005 SALOMON BROTHERS, INC.
022 B000005 13-3082694
022 C000005      7016
<PAGE>      PAGE  4
022 D000005      3866
022 A000006 LEHMAN BROTHERS, INC.
022 B000006 13-2518466
022 C000006      4331
022 D000006      4193
022 A000007 UBS SECURITIES, INC.
022 B000007 13-2932996
022 C000007      3132
022 D000007      2607
022 A000008 TROSTER SINGER
022 B000008 UNKNOWN
022 C000008      2635
022 D000008      1411
022 A000009 GOLDMAN SACHS & CO.
022 B000009 13-5108880
022 C000009      2343
022 D000009      1469
022 A000010 HERZOG, HEINE, GEDULD, INC.
022 B000010 13-1955436
022 C000010      1905
022 D000010      1861
023 C000000      92672
023 D000000      55693
024  00AA00 Y
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
034  00AA00 Y
035  00AA00     16
036 A00AA00 N
036 B00AA00      0
037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
045  00AA00 Y
046  00AA00 N
047  00AA00 Y
048  00AA00  0.000
048 A01AA00   250000
048 A02AA00 0.580
048 B01AA00  1000000
048 B02AA00 0.550
<PAGE>      PAGE  5
048 C01AA00  2500000
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 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
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
062 F00AA00   0.0
062 G00AA00   0.0
062 H00AA00   0.0
<PAGE>      PAGE  6
062 I00AA00   0.0
062 J00AA00   0.0
062 K00AA00   0.0
062 L00AA00   0.0
062 M00AA00   0.0
062 N00AA00   0.0
062 O00AA00   0.0
062 P00AA00   0.0
062 Q00AA00   0.0
062 R00AA00   0.0
077 A000000 Y
077 B000000 N
077 C000000 N
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 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
025 A000101 FIRST CHICAGO NBD CORP.
025 B000101 36-0899825
025 C000101 E
025 D000101     114
025 A000102 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000102 13-5674085
025 C000102 E
025 D000102      84
025 D000103       0
025 D000104       0
025 D000105       0
025 D000106       0
025 D000107       0
025 D000108       0
028 A010100      2782
028 A020100         0
028 A030100         0
028 A040100        54
028 B010100      3115
028 B020100         0
028 B030100         0
028 B040100       365
<PAGE>      PAGE  7
028 C010100      3245
028 C020100         1
028 C030100         0
028 C040100       450
028 D010100      3362
028 D020100         0
028 D030100         0
028 D040100       655
028 E010100      2479
028 E020100       196
028 E030100         0
028 E040100       545
028 F010100      5202
028 F020100         3
028 F030100         0
028 F040100       584
028 G010100     20185
028 G020100       200
028 G030100         0
028 G040100      2653
028 H000100      4431
029  000100 Y
030 A000100    112
030 B000100  5.75
030 C000100  0.00
031 A000100     11
031 B000100      0
032  000100    101
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     59
044  000100    639
055 A000100 Y
055 B000100 N
056  000100 Y
057  000100 N
066 A000100 Y
066 B000100 N
066 C000100 Y
066 D000100 N
066 E000100 N
066 F000100 N
066 G000100 N
067  000100 N
<PAGE>      PAGE  8
068 A000100 N
068 B000100 N
069  000100 N
070 A010100 Y
070 A020100 Y
070 B010100 Y
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 Y
070 D020100 N
070 E010100 Y
070 E020100 Y
070 F010100 Y
070 F020100 N
070 G010100 Y
070 G020100 N
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 Y
070 N010100 Y
070 N020100 N
070 O010100 N
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100     38432
071 B000100     23550
071 C000100     27242
071 D000100  173
072 A000100  6
072 B000100      232
072 C000100      137
072 D000100        0
072 E000100        0
072 F000100       82
072 G000100       32
072 H000100        0
<PAGE>      PAGE  9
072 I000100        0
072 J000100       98
072 K000100        3
072 L000100        0
072 M000100        5
072 N000100        0
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100        6
072 S000100        2
072 T000100       59
072 U000100        0
072 V000100        0
072 W000100        6
072 X000100      293
072 Y000100        0
072 Z000100       76
072AA000100     1574
072BB000100     2109
072CC010100     3245
072CC020100        0
072DD010100      129
072DD020100       77
072EE000100        0
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.0000
073 C000100   0.0000
074 A000100      682
074 B000100        0
074 C000100     2593
074 D000100     7778
074 E000100        0
074 F000100    28919
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        0
074 K000100        0
074 L000100      727
074 M000100        0
074 N000100    40699
074 O000100      970
074 P000100       38
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100       58
074 S000100        0
<PAGE>      PAGE  10
074 T000100    39633
074 U010100     1428
074 U020100     2137
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    10831
074 Y000100        0
075 A000100        0
075 B000100    28441
076  000100     0.00
025 A000201 FIRST CHICAGO NBD CORP.
025 B000201 36-0899825
025 C000201 E
025 D000201      86
025 A000202 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000202 13-5674085
025 C000202 E
025 D000202      67
025 D000203       0
025 D000204       0
025 D000205       0
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200      2323
028 A020200         0
028 A030200         0
028 A040200       162
028 B010200      3175
028 B020200         0
028 B030200         0
028 B040200       117
028 C010200      3937
028 C020200         0
028 C030200         0
028 C040200       346
028 D010200      2957
028 D020200         0
028 D030200         0
028 D040200       220
028 E010200      2760
028 E020200       289
028 E030200         0
028 E040200       220
028 F010200      5885
028 F020200         0
028 F030200         0
028 F040200       541
028 G010200     21037
028 G020200       289
<PAGE>      PAGE  11
028 G030200         0
028 G040200      1606
028 H000200      5494
029  000200 Y
030 A000200    116
030 B000200  5.75
030 C000200  0.00
031 A000200     14
031 B000200      0
032  000200    102
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     60
044  000200    530
055 A000200 N
055 B000200 N
056  000200 Y
057  000200 N
066 A000200 N
067  000200 Y
068 A000200 N
068 B000200 N
069  000200 N
070 A010200 Y
070 A020200 Y
070 B010200 Y
070 B020200 N
070 C010200 Y
070 C020200 N
070 D010200 Y
070 D020200 N
070 E010200 Y
070 E020200 Y
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
<PAGE>      PAGE  12
070 K020200 N
070 L010200 Y
070 L020200 Y
070 M010200 Y
070 M020200 Y
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     37888
071 B000200     20031
071 C000200     28180
071 D000200  142
072 A000200  6
072 B000200      430
072 C000200      104
072 D000200        0
072 E000200        0
072 F000200       85
072 G000200       35
072 H000200        0
072 I000200        0
072 J000200       79
072 K000200        3
072 L000200        0
072 M000200        5
072 N000200        0
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200        7
072 S000200        2
072 T000200       60
072 U000200        0
072 V000200        0
072 W000200        7
072 X000200      283
072 Y000200        0
072 Z000200      251
072AA000200     1297
072BB000200     1820
072CC010200     2571
072CC020200        0
072DD010200      166
072DD020200      132
<PAGE>      PAGE  13
072EE000200        0
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.0000
073 C000200   0.0000
074 A000200      828
074 B000200        0
074 C000200     1796
074 D000200    16381
074 E000200        0
074 F000200    23086
074 G000200        0
074 H000200        0
074 I000200        0
074 J000200        0
074 K000200        0
074 L000200     1019
074 M000200        0
074 N000200    43110
074 O000200     1338
074 P000200       41
074 Q000200        0
074 R010200        0
074 R020200        0
074 R030200        0
074 R040200       52
074 S000200        0
074 T000200    41679
074 U010200     1694
074 U020200     2191
074 V010200     0.00
074 V020200     0.00
074 W000200   0.0000
074 X000200     7453
074 Y000200        0
075 A000200        0
075 B000200    29300
076  000200     0.00
025 A000301 FIRST CHICAGO NBD CORP.
025 B000301 36-0899825
025 C000301 E
025 D000301      40
025 A000302 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000302 13-5674085
025 C000302 E
025 D000302      34
025 D000303       0
025 D000304       0
025 D000305       0
025 D000306       0
025 D000307       0
<PAGE>      PAGE  14
025 D000308       0
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028 A020300        99
028 A030300         0
028 A040300        62
028 B010300      1732
028 B020300         2
028 B030300         0
028 B040300       196
028 C010300      1902
028 C020300         0
028 C030300         0
028 C040300       305
028 D010300      1593
028 D020300         0
028 D030300         0
028 D040300       402
028 E010300      1506
028 E020300       165
028 E030300         0
028 E040300       233
028 F010300      2200
028 F020300         2
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028 F040300      4655
028 G010300     14560
028 G020300       268
028 G030300         0
028 G040300      5853
028 H000300      2724
029  000300 Y
030 A000300     74
030 B000300  5.75
030 C000300  0.00
031 A000300     11
031 B000300      0
032  000300     63
033  000300      0
042 A000300   0
042 B000300   0
042 C000300   0
042 D000300   0
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300 100
043  000300     47
044  000300    318
055 A000300 Y
055 B000300 N
056  000300 Y
<PAGE>      PAGE  15
057  000300 N
066 A000300 N
067  000300 Y
068 A000300 N
068 B000300 N
069  000300 N
070 A010300 Y
070 A020300 Y
070 B010300 Y
070 B020300 N
070 C010300 Y
070 C020300 N
070 D010300 Y
070 D020300 N
070 E010300 Y
070 E020300 N
070 F010300 Y
070 F020300 Y
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
070 M010300 Y
070 M020300 Y
070 N010300 Y
070 N020300 N
070 O010300 N
070 O020300 N
070 P010300 N
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
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071 B000300     20211
071 C000300     18394
071 D000300  220
072 A000300  6
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072 C000300       46
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072 E000300        0
<PAGE>      PAGE  16
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<PAGE>      PAGE  17
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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 1997 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> 011
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           36,606
<INVESTMENTS-AT-VALUE>                          39,290
<RECEIVABLES>                                      727
<ASSETS-OTHER>                                     682
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  40,699
<PAYABLE-FOR-SECURITIES>                           970
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           96
<TOTAL-LIABILITIES>                              1,066
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        36,410
<SHARES-COMMON-STOCK>                            1,428
<SHARES-COMMON-PRIOR>                              831
<ACCUMULATED-NII-CURRENT>                          110
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            429
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,684
<NET-ASSETS>                                    39,633
<DIVIDEND-INCOME>                                  137
<INTEREST-INCOME>                                  232
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (293)
<NET-INVESTMENT-INCOME>                             76
<REALIZED-GAINS-CURRENT>                           535
<APPREC-INCREASE-CURRENT>                        3,245
<NET-CHANGE-FROM-OPS>                            3,856
<EQUALIZATION>                                     106
<DISTRIBUTIONS-OF-INCOME>                        (206)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            657
<NUMBER-OF-SHARES-REDEEMED>                       (72)
<SHARES-REINVESTED>                                 12
<NET-CHANGE-IN-ASSETS>                          21,382
<ACCUMULATED-NII-PRIOR>                            134
<ACCUMULATED-GAINS-PRIOR>                        (106)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               82
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    293
<AVERAGE-NET-ASSETS>                            28,441
<PER-SHARE-NAV-BEGIN>                             9.72
<PER-SHARE-NII>                                    .05
<PER-SHARE-GAIN-APPREC>                           1.48
<PER-SHARE-DIVIDEND>                             (.10)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.15
<EXPENSE-RATIO>                                   1.68
<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 1997 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> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           36,606
<INVESTMENTS-AT-VALUE>                          39,290
<RECEIVABLES>                                      727
<ASSETS-OTHER>                                     682
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  40,699
<PAYABLE-FOR-SECURITIES>                           970
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           96
<TOTAL-LIABILITIES>                              1,066
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        36,410
<SHARES-COMMON-STOCK>                            1,854
<SHARES-COMMON-PRIOR>                              873
<ACCUMULATED-NII-CURRENT>                          110
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            429
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,684
<NET-ASSETS>                                    39,633
<DIVIDEND-INCOME>                                  137
<INTEREST-INCOME>                                  232
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (293)
<NET-INVESTMENT-INCOME>                             76
<REALIZED-GAINS-CURRENT>                           535
<APPREC-INCREASE-CURRENT>                        3,245
<NET-CHANGE-FROM-OPS>                            3,856
<EQUALIZATION>                                     106
<DISTRIBUTIONS-OF-INCOME>                        (206)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,050
<NUMBER-OF-SHARES-REDEEMED>                       (74)
<SHARES-REINVESTED>                                  5  
<NET-CHANGE-IN-ASSETS>                          21,382
<ACCUMULATED-NII-PRIOR>                            134
<ACCUMULATED-GAINS-PRIOR>                        (106)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               82
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    293
<AVERAGE-NET-ASSETS>                            28,441
<PER-SHARE-NAV-BEGIN>                             9.65
<PER-SHARE-NII>                                    .01
<PER-SHARE-GAIN-APPREC>                           1.48
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.10
<EXPENSE-RATIO>                                   2.41
<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 1997 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> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           36,606
<INVESTMENTS-AT-VALUE>                          39,290
<RECEIVABLES>                                      727
<ASSETS-OTHER>                                     682
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  40,699
<PAYABLE-FOR-SECURITIES>                           970
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           96
<TOTAL-LIABILITIES>                              1,066
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        36,410
<SHARES-COMMON-STOCK>                              198
<SHARES-COMMON-PRIOR>                               82
<ACCUMULATED-NII-CURRENT>                          110
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            429
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,684
<NET-ASSETS>                                    39,633
<DIVIDEND-INCOME>                                  137
<INTEREST-INCOME>                                  232
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (293)
<NET-INVESTMENT-INCOME>                             76
<REALIZED-GAINS-CURRENT>                           535
<APPREC-INCREASE-CURRENT>                        3,245
<NET-CHANGE-FROM-OPS>                            3,856
<EQUALIZATION>                                     106
<DISTRIBUTIONS-OF-INCOME>                        (206)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            180
<NUMBER-OF-SHARES-REDEEMED>                       (65)
<SHARES-REINVESTED>                                  1  
<NET-CHANGE-IN-ASSETS>                          21,382
<ACCUMULATED-NII-PRIOR>                            134  
<ACCUMULATED-GAINS-PRIOR>                        (106)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               82
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    293
<AVERAGE-NET-ASSETS>                            28,441
<PER-SHARE-NAV-BEGIN>                             9.67
<PER-SHARE-NII>                                    .01
<PER-SHARE-GAIN-APPREC>                           1.47
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.11
<EXPENSE-RATIO>                                   2.43
<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 1997 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> 014
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           36,606
<INVESTMENTS-AT-VALUE>                          39,290
<RECEIVABLES>                                      727
<ASSETS-OTHER>                                     682
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  40,699
<PAYABLE-FOR-SECURITIES>                           970
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           96
<TOTAL-LIABILITIES>                              1,066
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        36,410
<SHARES-COMMON-STOCK>                               85
<SHARES-COMMON-PRIOR>                               98
<ACCUMULATED-NII-CURRENT>                          110
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            429
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,684
<NET-ASSETS>                                    39,633
<DIVIDEND-INCOME>                                  137
<INTEREST-INCOME>                                  232
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (293)
<NET-INVESTMENT-INCOME>                             76
<REALIZED-GAINS-CURRENT>                           535
<APPREC-INCREASE-CURRENT>                        3,245
<NET-CHANGE-FROM-OPS>                            3,856
<EQUALIZATION>                                     106
<DISTRIBUTIONS-OF-INCOME>                        (206)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             24
<NUMBER-OF-SHARES-REDEEMED>                       (38)
<SHARES-REINVESTED>                                  1  
<NET-CHANGE-IN-ASSETS>                          21,382
<ACCUMULATED-NII-PRIOR>                            134
<ACCUMULATED-GAINS-PRIOR>                        (106)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               82
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    293
<AVERAGE-NET-ASSETS>                            28,441
<PER-SHARE-NAV-BEGIN>                             9.73
<PER-SHARE-NII>                                    .08
<PER-SHARE-GAIN-APPREC>                           1.49
<PER-SHARE-DIVIDEND>                             (.13)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.17
<EXPENSE-RATIO>                                   1.11
<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 1997 SEMI-ANNUAL REPORT TO 
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           39,081
<INVESTMENTS-AT-VALUE>                          41,263
<RECEIVABLES>                                    1,019
<ASSETS-OTHER>                                     828
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  43,110
<PAYABLE-FOR-SECURITIES>                         1,338
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           93
<TOTAL-LIABILITIES>                              1,431
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        38,819
<SHARES-COMMON-STOCK>                            1,694
<SHARES-COMMON-PRIOR>                              973
<ACCUMULATED-NII-CURRENT>                          247
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            431
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,182
<NET-ASSETS>                                    41,679
<DIVIDEND-INCOME>                                  104
<INTEREST-INCOME>                                  430
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (283)
<NET-INVESTMENT-INCOME>                            251
<REALIZED-GAINS-CURRENT>                           523
<APPREC-INCREASE-CURRENT>                        2,571
<NET-CHANGE-FROM-OPS>                            3,345
<EQUALIZATION>                                     159
<DISTRIBUTIONS-OF-INCOME>                        (298)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            779
<NUMBER-OF-SHARES-REDEEMED>                       (74)
<SHARES-REINVESTED>                                 16
<NET-CHANGE-IN-ASSETS>                          22,767
<ACCUMULATED-NII-PRIOR>                            135
<ACCUMULATED-GAINS-PRIOR>                         (92)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               85
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    283
<AVERAGE-NET-ASSETS>                            29,300
<PER-SHARE-NAV-BEGIN>                             9.60
<PER-SHARE-NII>                                    .11
<PER-SHARE-GAIN-APPREC>                           1.14
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.73
<EXPENSE-RATIO>                                   1.42
<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 1997 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           39,081
<INVESTMENTS-AT-VALUE>                          41,263
<RECEIVABLES>                                    1,019
<ASSETS-OTHER>                                     828
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  43,110
<PAYABLE-FOR-SECURITIES>                         1,338
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           93
<TOTAL-LIABILITIES>                              1,431
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        38,819
<SHARES-COMMON-STOCK>                            1,772
<SHARES-COMMON-PRIOR>                              898
<ACCUMULATED-NII-CURRENT>                          247
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            431
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,182
<NET-ASSETS>                                    41,679
<DIVIDEND-INCOME>                                  104
<INTEREST-INCOME>                                  430
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (283)
<NET-INVESTMENT-INCOME>                            251
<REALIZED-GAINS-CURRENT>                           523
<APPREC-INCREASE-CURRENT>                        2,571
<NET-CHANGE-FROM-OPS>                            3,345
<EQUALIZATION>                                     159
<DISTRIBUTIONS-OF-INCOME>                        (298)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            920
<NUMBER-OF-SHARES-REDEEMED>                       (56)
<SHARES-REINVESTED>                                 10
<NET-CHANGE-IN-ASSETS>                          22,767
<ACCUMULATED-NII-PRIOR>                            135
<ACCUMULATED-GAINS-PRIOR>                         (92) 
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               85
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    283
<AVERAGE-NET-ASSETS>                            29,300
<PER-SHARE-NAV-BEGIN>                             9.60
<PER-SHARE-NII>                                    .07
<PER-SHARE-GAIN-APPREC>                           1.13
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.73
<EXPENSE-RATIO>                                   2.29
<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 1997 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 023
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           39,081
<INVESTMENTS-AT-VALUE>                          41,263
<RECEIVABLES>                                    1,019
<ASSETS-OTHER>                                     828
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  43,110
<PAYABLE-FOR-SECURITIES>                         1,338
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           93
<TOTAL-LIABILITIES>                              1,431
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        38,819
<SHARES-COMMON-STOCK>                              383
<SHARES-COMMON-PRIOR>                               89
<ACCUMULATED-NII-CURRENT>                          247
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            431
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,182
<NET-ASSETS>                                    41,679
<DIVIDEND-INCOME>                                  104
<INTEREST-INCOME>                                  430
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (283)
<NET-INVESTMENT-INCOME>                            251
<REALIZED-GAINS-CURRENT>                           523
<APPREC-INCREASE-CURRENT>                        2,571
<NET-CHANGE-FROM-OPS>                            3,345
<EQUALIZATION>                                     159
<DISTRIBUTIONS-OF-INCOME>                        (298)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            300
<NUMBER-OF-SHARES-REDEEMED>                        (8)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          22,767
<ACCUMULATED-NII-PRIOR>                            135
<ACCUMULATED-GAINS-PRIOR>                         (92)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               85
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    283
<AVERAGE-NET-ASSETS>                            29,300
<PER-SHARE-NAV-BEGIN>                             9.60
<PER-SHARE-NII>                                    .06
<PER-SHARE-GAIN-APPREC>                           1.12
<PER-SHARE-DIVIDEND>                             (.06)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.72
<EXPENSE-RATIO>                                   2.65
<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 1997 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH
FINANCIAL STATMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 024
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           39,081
<INVESTMENTS-AT-VALUE>                          41,263
<RECEIVABLES>                                    1,019
<ASSETS-OTHER>                                     828
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  43,110
<PAYABLE-FOR-SECURITIES>                         1,338
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           93
<TOTAL-LIABILITIES>                              1,431
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        38,819
<SHARES-COMMON-STOCK>                               36
<SHARES-COMMON-PRIOR>                               11
<ACCUMULATED-NII-CURRENT>                          247
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            431
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,182
<NET-ASSETS>                                    41,679
<DIVIDEND-INCOME>                                  104
<INTEREST-INCOME>                                  430
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (283)
<NET-INVESTMENT-INCOME>                            251
<REALIZED-GAINS-CURRENT>                           523
<APPREC-INCREASE-CURRENT>                        2,571
<NET-CHANGE-FROM-OPS>                            3,345
<EQUALIZATION>                                     159
<DISTRIBUTIONS-OF-INCOME>                        (298)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             41
<NUMBER-OF-SHARES-REDEEMED>                       (17)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          22,767
<ACCUMULATED-NII-PRIOR>                            135
<ACCUMULATED-GAINS-PRIOR>                         (92)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               85
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    283
<AVERAGE-NET-ASSETS>                            29,300
<PER-SHARE-NAV-BEGIN>                             9.57
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                           1.13
<PER-SHARE-DIVIDEND>                             (.13)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.70
<EXPENSE-RATIO>                                   1.28
<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 1997 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> 031
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           19,601
<INVESTMENTS-AT-VALUE>                          20,465
<RECEIVABLES>                                      654
<ASSETS-OTHER>                                     132
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  21,251
<PAYABLE-FOR-SECURITIES>                           143
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           53
<TOTAL-LIABILITIES>                                196
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,850
<SHARES-COMMON-STOCK>                              785
<SHARES-COMMON-PRIOR>                              461
<ACCUMULATED-NII-CURRENT>                          155
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            186
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           864
<NET-ASSETS>                                    21,055
<DIVIDEND-INCOME>                                   46
<INTEREST-INCOME>                                  412
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (180)
<NET-INVESTMENT-INCOME>                            278
<REALIZED-GAINS-CURRENT>                           230
<APPREC-INCREASE-CURRENT>                        1,020
<NET-CHANGE-FROM-OPS>                            1,528
<EQUALIZATION>                                      80
<DISTRIBUTIONS-OF-INCOME>                        (279)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            446
<NUMBER-OF-SHARES-REDEEMED>                      (133)
<SHARES-REINVESTED>                                 11
<NET-CHANGE-IN-ASSETS>                          10,224
<ACCUMULATED-NII-PRIOR>                             76
<ACCUMULATED-GAINS-PRIOR>                         (44)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               56
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    180
<AVERAGE-NET-ASSETS>                            18,901
<PER-SHARE-NAV-BEGIN>                             9.57
<PER-SHARE-NII>                                    .17
<PER-SHARE-GAIN-APPREC>                            .68
<PER-SHARE-DIVIDEND>                             (.16)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.26
<EXPENSE-RATIO>                                   1.39
<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 1997 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> 032
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           19,601
<INVESTMENTS-AT-VALUE>                          20,465
<RECEIVABLES>                                      654
<ASSETS-OTHER>                                     132
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  21,251
<PAYABLE-FOR-SECURITIES>                           143
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           53
<TOTAL-LIABILITIES>                                196
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,850
<SHARES-COMMON-STOCK>                            1,056
<SHARES-COMMON-PRIOR>                              596
<ACCUMULATED-NII-CURRENT>                          155
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            186
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           864
<NET-ASSETS>                                    21,055
<DIVIDEND-INCOME>                                   46
<INTEREST-INCOME>                                  412
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (180)
<NET-INVESTMENT-INCOME>                            278
<REALIZED-GAINS-CURRENT>                           230
<APPREC-INCREASE-CURRENT>                        1,020
<NET-CHANGE-FROM-OPS>                            1,528
<EQUALIZATION>                                      80
<DISTRIBUTIONS-OF-INCOME>                        (279)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            843
<NUMBER-OF-SHARES-REDEEMED>                      (398)
<SHARES-REINVESTED>                                 15
<NET-CHANGE-IN-ASSETS>                          10,224
<ACCUMULATED-NII-PRIOR>                             76
<ACCUMULATED-GAINS-PRIOR>                         (44)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               56
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    180
<AVERAGE-NET-ASSETS>                            18,901
<PER-SHARE-NAV-BEGIN>                             9.57
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .68
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.26
<EXPENSE-RATIO>                                   2.12
<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 1997 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> 033
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS C
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           19,601
<INVESTMENTS-AT-VALUE>                          20,465
<RECEIVABLES>                                      654
<ASSETS-OTHER>                                     132
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  21,251
<PAYABLE-FOR-SECURITIES>                           143
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           53
<TOTAL-LIABILITIES>                                196
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,850
<SHARES-COMMON-STOCK>                              200
<SHARES-COMMON-PRIOR>                               64
<ACCUMULATED-NII-CURRENT>                          155
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            186
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           864
<NET-ASSETS>                                    21,055
<DIVIDEND-INCOME>                                   46
<INTEREST-INCOME>                                  412
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (180)
<NET-INVESTMENT-INCOME>                            278
<REALIZED-GAINS-CURRENT>                           230
<APPREC-INCREASE-CURRENT>                        1,020
<NET-CHANGE-FROM-OPS>                            1,528
<EQUALIZATION>                                      80
<DISTRIBUTIONS-OF-INCOME>                        (279)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            176
<NUMBER-OF-SHARES-REDEEMED>                       (42)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          10,224
<ACCUMULATED-NII-PRIOR>                             76
<ACCUMULATED-GAINS-PRIOR>                         (44)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               56
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    180
<AVERAGE-NET-ASSETS>                            18,901
<PER-SHARE-NAV-BEGIN>                             9.57
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .67
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.25
<EXPENSE-RATIO>                                   2.40
<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 1997 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> 034
   <NAME> KEMPER HORIZON 5 PORTFOLIO - CLASS D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1997
<PERIOD-START>                             AUG-01-1996
<PERIOD-END>                               JAN-31-1997
<INVESTMENTS-AT-COST>                           19,601
<INVESTMENTS-AT-VALUE>                          20,465
<RECEIVABLES>                                      654
<ASSETS-OTHER>                                     132
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  21,251
<PAYABLE-FOR-SECURITIES>                           143
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                           53
<TOTAL-LIABILITIES>                                196
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        19,850
<SHARES-COMMON-STOCK>                               11
<SHARES-COMMON-PRIOR>                               11
<ACCUMULATED-NII-CURRENT>                          155
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                            186
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           864
<NET-ASSETS>                                    21,055
<DIVIDEND-INCOME>                                   46
<INTEREST-INCOME>                                  412
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (180)
<NET-INVESTMENT-INCOME>                            278
<REALIZED-GAINS-CURRENT>                           230
<APPREC-INCREASE-CURRENT>                        1,020
<NET-CHANGE-FROM-OPS>                            1,528
<EQUALIZATION>                                      80
<DISTRIBUTIONS-OF-INCOME>                        (279)
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              1
<NUMBER-OF-SHARES-REDEEMED>                        (2)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          10,224
<ACCUMULATED-NII-PRIOR>                             76
<ACCUMULATED-GAINS-PRIOR>                         (44)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               56
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    180
<AVERAGE-NET-ASSETS>                            18,901
<PER-SHARE-NAV-BEGIN>                             9.58
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .68
<PER-SHARE-DIVIDEND>                             (.18)
<PER-SHARE-DISTRIBUTIONS>                            0
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.26
<EXPENSE-RATIO>                                   1.23
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>






          Exhibit 77Q1(e)
          Kemper Horizon Fund
          Form N-SAR for the period ended 1/31/97
          File No. 811-7365


                                SUB-ADVISORY AGREEMENT

                                   (Form 2 Series)


               AGREEMENT made this 1st day of December, 1996, by and
          between ZURICH KEMPER INVESTMENTS, INC., a Delaware corporation
          (the "Adviser") and ZURICH INVESTMENT MANAGEMENT LIMITED, an
          English corporation (the "Sub-Adviser").

               WHEREAS, KEMPER HORIZON FUND, a Massachusetts business trust
          (the "Fund") is a management investment company registered under
          the Investment Company Act of 1940;

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

               WHEREAS, the Fund has retained the Adviser to render to it
          investment advisory and management services with regard to the
          series of the Fund known as the Kemper Horizon 20+ Portfolio,
          Kemper Horizon 10+ Portfolio, Kemper Horizon 5 Portfolio (the
          "initial series") pursuant to an Investment Management Agreement
          (the "Management Agreement"); and

               WHEREAS, the Adviser desires at this time to retain the
          Sub-Adviser to render investment advisory and management services
          with respect to that portion of the portfolio of the Fund's
          initial series allocated to the Sub-Adviser by the Adviser for
          management of foreign securities, including foreign currency
          transactions and related investments, and the Sub-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 Adviser hereby employs the Sub-Adviser to manage
          the investment and reinvestment of the assets of the initial
          series of the Fund allocated by the Adviser in its sole
          discretion to the Sub-Adviser for management of foreign
          securities, including foreign currency transactions and related
          investments, in accordance with the applicable investment
          objectives, policies and limitations and subject to the
          supervision of the Adviser and 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 the
          Sub-Adviser; and, in connection therewith, the Sub-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 of the Fund.  In connection with
          the selection of such brokers or dealers and the placing of such
          orders, the Sub-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 and subject to satisfying the
          requirements of Section 28(e) of the Securities Exchange Act of
          1934, the Sub-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 Sub-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 Sub-Adviser's overall responsibilities with
          respect to the clients of the Sub-Adviser as to which the
          Sub-Adviser exercises investment discretion.  The Adviser
          recognizes that all research services and research that the
          Sub-Adviser receives are available for all clients of the
          Sub-Adviser, and that the Fund and other clients of the
          Sub-Adviser 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 Sub-Adviser accepts such employment and agrees during
          such period to render such investment management services, to
          furnish related 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 Sub-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 or the Adviser in any
          way or otherwise be deemed an agent of the Fund or the Adviser. 
          It is understood and agreed that the Sub-Adviser, by separate
          agreements with the Fund, may also serve the Fund in other
          capacities.

               The Sub-Adviser will keep the Fund and the Adviser informed
          of developments materially affecting the Fund and shall, on the
          Sub-Adviser's own initiative and as reasonably requested by the
          Adviser or the Fund, furnish to the Fund and the Adviser from
          time to time whatever information the Adviser reasonably believes
          appropriate for this purpose.

               The Sub-Adviser agrees that, in the performance of the
          duties required of it by this Agreement, it will comply with the
          Investment Advisers Act of 1940 and the Investment Company Act of

                                         -2-











          1940, and all rules and regulations thereunder, and all
          applicable laws and regulations and with any applicable
          procedures adopted by the Fund's Board of Trustees and identified
          in writing to the Sub-Adviser.

               The Sub-Adviser shall provide the Adviser with such
          investment portfolio accounting and shall maintain and provide
          such detailed records and reports as the Adviser may from time to
          time reasonably request, including without limitation, daily
          processing of investment transactions and cash positions,
          periodic valuations of investment portfolio positions as required
          by the Adviser, monthly reports of the investment portfolio and
          all investment transactions and the preparation of such reports
          and compilation of such data as may be required by the Adviser to
          comply with the obligations imposed upon it under Management
          Agreement.

               The Sub-Adviser shall provide adequate security with respect
          to all materials, records, documents and data relating to any of
          its responsibilities pursuant to this Agreement including any
          means for the effecting of securities transactions.

               The Sub-Adviser agrees that it will make available to the
          Adviser and the Fund promptly upon their request copies of all of
          its investment records and ledgers with respect to the Fund to
          assist the Adviser and the Fund in monitoring compliance with the
          Investment Company Act of 1940 and the Investment Advisers Act of
          1940, as well as other applicable laws.  The Sub-Adviser will
          furnish the Fund's Board of Trustees such periodic and special
          reports with respect to the portfolio of each series subject to
          this Agreement as the Adviser or the Board of Trustees may
          reasonably request.

               In compliance with the requirements of Rule 31a-3 under the
          Investment Company Act of 1940, the Sub-Adviser hereby agrees
          that any records that it maintains for the Fund are the property
          of the Fund and further agrees to surrender promptly to the Fund
          copies of any such records upon the Fund's request.  The Sub-
          Adviser further agrees to preserve for the periods prescribed by
          Rule 31a-2 under the Investment Company Act of 1940 any records
          with respect to the Sub-Adviser's duties hereunder required to be
          maintained by Rule 31a-1 under the such Act to the extent that
          the Sub-Adviser prepares and maintains such records pursuant to
          this Agreement and to preserve the records required by Rule 204-2
          under the Investment Advisers Act of 1940 for the period
          specified in that Rule.

               The Sub-Adviser agrees that it will immediately notify the
          Adviser and the Fund in the event that the Sub-Adviser:  (i)
          becomes subject to a statutory disqualification that prevents the
          Sub-Adviser from serving as an investment adviser pursuant to
          this Agreement; or (ii) is or expects to become the subject of an
          administrative proceeding or enforcement action by the United
          States Securities and Exchange Commission, the Investment

                                         -3-











          Management Regulatory Organization ("IMRO") or other regulatory
          authority.

               The Sub-Adviser represents that it is an investment adviser
          registered under the Investment Advisers Act of 1940 and other
          applicable laws and it is regulated by IMRO and will treat the
          Fund as a Non-Private Customer as defined by IMRO.  The Sub-
          Adviser agrees to maintain the completeness and accuracy of its
          registration on Form ADV in accordance with all legal
          requirements relating to that Form.  The Sub-Adviser acknowledges
          that it is an "investment adviser" to the Fund within the meaning
          of the Investment Company Act of 1940 and the Investment Advisers
          Act of 1940.

               The Sub-Adviser shall be responsible maintaining an
          appropriate compliance program to ensure that the services
          provided by it under this Agreement are performed in a manner
          consistent with applicable laws and the terms of this Agreement.
          Furthermore, the Sub-Adviser shall maintain and enforce a Code of
          Ethics that is in form and substance satisfactory to the Adviser. 
          Sub-Adviser agrees to provide such reports and certifications
          regarding its compliance  program as the Adviser or the Fund
          shall reasonably request from time to time.  

               2.   In the event that there are, from time to time, one or
          more additional series of the Fund with respect to which the
          Adviser desires to retain the Sub-Adviser to render investment
          advisory and management services hereunder, the Adviser shall
          notify the Sub-Adviser in writing.  If the Sub-Adviser is willing
          to render such services, it shall notify the Adviser in writing
          whereupon such additional series shall become subject to this
          Agreement.

               3.   For the services and facilities described in Section 1,
          the Adviser  will pay to the Sub-Adviser, at the end of each
          calendar month, a sub-advisory fee computed at an annual rate of
          that portion of the average daily net assets of the initial
          series of the Fund that is allocated by the Adviser to the
          Sub-Adviser for management as specified below:

          <TABLE>
          <CAPTION>
               Series                                Annual Rate
               ------                                -----------
          <S>                                            <C>
          Kemper Horizon 20+ Portfolio                   .35%
          Kemper Horizon 10+ Portfolio                   .35%
          Kemper Horizon 5 Portfolio                     .35%
          </TABLE>

               For the month and year in which this Agreement becomes
          effective or terminates, there shall be an appropriate proration

                                         -4-












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

               5.   The Sub-Adviser shall arrange, if desired by the Fund,
          for officers or employees of the Sub-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.

               6.    The net asset value for each series of the Fund
          subject to this Agreement shall be calculated  as the Board of
          Trustees of the Fund may determine from time to time in
          accordance with the provisions of the Investment Company Act of
          1940.  On each day when net asset value is not calculated, the
          net asset value of a series shall be deemed to be the net asset
          value of such series as of the close of business on the last day
          on which such calculation was made for the purpose of the
          foregoing computations.

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

               8.   The Sub-Adviser shall not be liable for any error of
          judgment or of law or for any loss suffered by the Fund or the
          Adviser 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 Sub-Adviser in the
          performance of its obligations and duties or by reason of its
          reckless disregard of its obligations and duties under this
          Agreement.

               9.   This Agreement shall become effective with respect to
          the initial series of the Fund on the date hereof and shall
          remain in full force until April 1, 1998, unless sooner
          terminated as hereinafter provided.  This Agreement shall
          continue in force from year to year thereafter with respect to
          each such series, but only as long as such continuance is
          specifically approved for each series 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 series, the

                                         -5-












          Sub-Adviser may continue to serve in such capacity for such
          series 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 or in the event of the termination of the
          Management Agreement and may be terminated at any time with
          respect to any series subject to this Agreement without the
          payment of any penalty by the Adviser or by the Sub-Adviser on
          sixty (60) days written notice to the other party.  The Fund may
          effect termination with respect to any such series without
          payment of any penalty by action of the Board of Trustees or by
          vote of a majority of the outstanding voting securities of such
          series on sixty (60) days written notice to the Adviser and the
          Sub-Adviser.

               This Agreement may be terminated with respect to any series
          at any time without the payment of any penalty by the Board of
          Trustees of the Fund, by vote of a majority of the outstanding
          voting securities of such series or by the Adviser in the event
          that it shall have been established by a court of competent
          jurisdiction that the Sub-Adviser or any officer or director of
          the Sub-Adviser has taken any action which results in a breach of
          the covenants of the Sub-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 Sub-Adviser to receive payments on any unpaid balance of the
          compensation described in Section 3 earned prior to such
          termination.

               10.  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.

               11.  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.

               12.  This Agreement shall be construed in accordance with
          applicable federal law and 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.




                                         -6-









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

                                      ZURICH KEMPER INVESTMENTS, INC.


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

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


                                      ZURICH INVESTMENT MANAGEMENT LIMITED 


                                      By: /s/ Dennis H. Ferro 
                                         -------------------------------

                                      Title: Managing Director
                                            ----------------------------











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