KEMPER HORIZON FUND
NSAR-A, 1998-04-01
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<PAGE>      PAGE  1
000 A000000 01/31/98
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
002 D020000 5808
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 SCUDDER KEMPER INVESTMENTS, INC.
008 B00AA01 A
008 C00AA01 801-44899
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10154
008 D04AA01 0100
010 A00AA01 KEMPER DISTRIBUTORS, INC.
010 B00AA01 8-47765
010 C01AA01 CHICAGO
010 C02AA01 IL
010 C03AA01 60606
<PAGE>      PAGE  2
010 C04AA01 5808
011 A00AA01 KEMPER DISTRIBUTORS, INC.
011 B00AA01 8-47765
011 C01AA01 CHICAGO
011 C02AA01 IL
011 C03AA01 60606
011 C04AA01 5808
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   68
019 C00AA00 KEMPERFNDS
020 A000001 TROSTER SINGER
020 B000001 13-5515160
020 C000001     17
020 A000002 BERNSTEIN (SANFORD C.) & CO., INC.
020 B000002 13-2625874
020 C000002      9
020 A000003 TIEDEMANN INTERNATIONAL RESEARCH INC.
<PAGE>      PAGE  3
020 B000003 13-3506065
020 C000003      6
020 A000004 SALOMON BROTHERS INC.
020 B000004 13-3082694
020 C000004      5
020 A000005 KEANE SECURITIES CO., INC.
020 B000005 13-3038090
020 C000005      4
020 A000006 SMITH BARNEY INC.
020 B000006 13-1912900
020 C000006      4
020 A000007 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
020 B000007 13-2655998
020 C000007      4
020 A000008 INSTINET CORPORATION
020 B000008 13-3443395
020 C000008      3
020 A000009 DUNLEVY & CO., INC.
020 B000009 13-2919975
020 C000009      3
020 A000010 WERTHEIM & CO.
020 B000010 13-2697272
020 C000010      3
021  000000      106
022 A000001 FIRST CHICAGO NBD CORPORATION
022 B000001 36-0899825
022 C000001     19717
022 D000001      8024
022 A000002 CS FIRST BOSTON CORPORATION
022 B000002 13-5659485
022 C000002     18764
022 D000002      5922
022 A000003 LEHMAN BROTHERS INC.
022 B000003 13-2518466
022 C000003     13066
022 D000003      3403
022 A000004 GOLDMAN, SACHS & CO.
022 B000004 13-5108880
022 C000004      8831
022 D000004      3871
022 A000005 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000005 13-5674085
022 C000005      5573
022 D000005      5630
022 A000006 TROSTER SINGER
022 B000006 13-5515160
022 C000006      6014
022 D000006       719
022 A000007 PAINEWEBBER INCORPORATED
022 B000007 13-2638166
022 C000007      1373
<PAGE>      PAGE  4
022 D000007      1453
022 A000008 HERZOG, HEINE, GEDULD, INC.
022 B000008 13-1955436
022 C000008      1301
022 D000008      1077
022 A000009 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
022 B000009 13-2655998
022 C000009      1040
022 D000009      1213
022 A000010 ALEX BROWN & SONS INCORPORATED
022 B000010 52-1319768
022 C000010      1213
022 D000010       647
023 C000000      84230
023 D000000      37864
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
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
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
<PAGE>      PAGE  5
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
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062 Q00AA00   0.0
062 R00AA00   0.0
077 A000000 Y
077 B000000 N
<PAGE>      PAGE  6
077 C000000 Y
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 N000000 N
077 O000000 Y
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
025 A000101 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000101 13-5674085
025 C000101 E
025 D000101     354
025 A000102 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000102 13-2655998
025 C000102 E
025 D000102     467
025 D000103       0
025 D000104       0
025 D000105       0
025 D000106       0
025 D000107       0
025 D000108       0
028 A010100      2129
028 A020100         0
028 A030100         0
028 A040100       488
028 B010100      2461
028 B020100         0
028 B030100         0
028 B040100       832
028 C010100      4861
028 C020100         0
028 C030100         0
028 C040100      2420
028 D010100      2813
028 D020100         0
028 D030100         0
028 D040100       426
028 E010100     10341
028 E020100      2992
028 E030100         0
028 E040100       717
<PAGE>      PAGE  7
028 F010100       401
028 F020100         0
028 F030100         0
028 F040100      1210
028 G010100     23006
028 G020100      2992
028 G030100         0
028 G040100      6093
028 H000100      4584
029  000100 Y
030 A000100    115
030 B000100  5.75
030 C000100  0.00
031 A000100     14
031 B000100      0
032  000100    101
033  000100      0
034  000100 Y
035  000100     25
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100 100
043  000100    146
044  000100    550
055 A000100 N
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
068 A000100 N
068 B000100 N
069  000100 N
070 A010100 Y
070 A020100 Y
070 B010100 Y
070 B020100 N
070 C010100 Y
<PAGE>      PAGE  8
070 C020100 N
070 D010100 Y
070 D020100 N
070 E010100 Y
070 E020100 N
070 F010100 Y
070 F020100 Y
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     37578
071 B000100     19793
071 C000100     69472
071 D000100   57
072 A000100  6
072 B000100      541
072 C000100      339
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072 E000100        0
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072 G000100       81
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072 I000100        0
072 J000100      328
072 K000100        0
072 L000100       21
072 M000100        5
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072 O000100        0
072 P000100        0
<PAGE>      PAGE  9
072 Q000100        0
072 R000100       17
072 S000100        1
072 T000100      146
072 U000100        0
072 V000100        0
072 W000100       19
072 X000100      823
072 Y000100        0
072 Z000100       57
072AA000100     2258
072BB000100     1440
072CC010100        0
072CC020100      157
072DD010100      115
072DD020100        8
072EE000100     2945
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.4800
073 C000100   0.0000
074 A000100        0
074 B000100        0
074 C000100       50
074 D000100    13601
074 E000100        0
074 F000100    66999
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100     4350
074 K000100        0
074 L000100      414
074 M000100        0
074 N000100    85414
074 O000100     1693
074 P000100       80
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100     3413
074 S000100        0
074 T000100    80228
074 U010100     2863
074 U020100     3600
074 V010100     0.00
074 V020100     0.00
074 W000100   0.0000
074 X000100    16071
074 Y000100        0
<PAGE>      PAGE  10
075 A000100        0
075 B000100    69836
076  000100     0.00
025 A000201 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000201 13-5674085
025 C000201 E
025 D000201     196
025 A000202 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000202 13-2655998
025 C000202 E
025 D000202     245
025 D000203       0
025 D000204       0
025 D000205       0
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200      2144
028 A020200         0
028 A030200         0
028 A040200       517
028 B010200      2415
028 B020200         0
028 B030200         0
028 B040200       510
028 C010200      2860
028 C020200         0
028 C030200         0
028 C040200       842
028 D010200      2826
028 D020200         0
028 D030200         0
028 D040200      1761
028 E010200      3722
028 E020200      3016
028 E030200         0
028 E040200       601
028 F010200      6749
028 F020200         0
028 F030200         0
028 F040200      3010
028 G010200     20716
028 G020200      3016
028 G030200         0
028 G040200      7241
028 H000200      9754
029  000200 Y
030 A000200    114
030 B000200  5.75
030 C000200  0.00
031 A000200     14
<PAGE>      PAGE  11
031 B000200      0
032  000200    100
033  000200      0
034  000200 Y
035  000200     18
036 A000200 N
036 B000200      0
042 A000200   0
042 B000200   0
042 C000200   0
042 D000200   0
042 E000200   0
042 F000200   0
042 G000200   0
042 H000200 100
043  000200    143
044  000200    452
055 A000200 Y
055 B000200 N
056  000200 Y
057  000200 N
066 A000200 Y
066 B000200 N
066 C000200 N
066 D000200 N
066 E000200 Y
066 F000200 N
066 G000200 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 N
070 F010200 Y
070 F020200 Y
070 G010200 Y
070 G020200 N
070 H010200 Y
070 H020200 N
070 I010200 N
070 I020200 N
070 J010200 Y
<PAGE>      PAGE  12
070 J020200 N
070 K010200 N
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     29008
071 B000200     13217
071 C000200     68908
071 D000200   38
072 A000200  6
072 B000200     1035
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072 K000200        0
072 L000200       25
072 M000200        5
072 N000200        0
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072 R000200       19
072 S000200        2
072 T000200      143
072 U000200        0
072 V000200        0
072 W000200       24
072 X000200      692
072 Y000200        0
072 Z000200      606
072AA000200     1850
072BB000200     1014
072CC010200        0
072CC020200      273
<PAGE>      PAGE  13
072DD010200      357
072DD020200      267
072EE000200     2477
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.4100
073 C000200   0.0000
074 A000200      652
074 B000200        0
074 C000200      498
074 D000200    33971
074 E000200        0
074 F000200    45350
074 G000200        0
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074 T000200    77959
074 U010200     3185
074 U020200     3503
074 V010200     0.00
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074 Y000200        0
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075 B000200    69049
076  000200     0.00
025 A000301 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
025 B000301 13-5674085
025 C000301 E
025 D000301      50
025 A000302 MORGAN STANLEY, DEAN WITTER, DISCOVER & CO.
025 B000302 13-2655998
025 C000302 E
025 D000302      76
025 D000303       0
025 D000304       0
025 D000305       0
<PAGE>      PAGE  14
025 D000306       0
025 D000307       0
025 D000308       0
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028 B020300       191
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028 B040300       630
028 C010300      3176
028 C020300         0
028 C030300         0
028 C040300       546
028 D010300      2137
028 D020300         0
028 D030300         0
028 D040300       182
028 E010300      1449
028 E020300      1214
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028 G010300     18507
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028 G040300      5874
028 H000300      8566
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030 A000300     56
030 B000300  5.75
030 C000300  0.00
031 A000300      6
031 B000300      0
032  000300     50
033  000300      0
034  000300 Y
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036 B000300      0
042 A000300   0
042 B000300   0
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<PAGE>      PAGE  15
042 H000300 100
043  000300     79
044  000300    220
055 A000300 Y
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056  000300 Y
057  000300 N
066 A000300 Y
066 B000300 N
066 C000300 N
066 D000300 N
066 E000300 N
066 F000300 Y
066 G000300 N
067  000300 Y
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069  000300 N
070 A010300 Y
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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
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070 N020300 N
070 O010300 N
070 O020300 N
070 P010300 N
070 P020300 N
070 Q010300 N
<PAGE>      PAGE  16
070 Q020300 N
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<PAGE>      PAGE  17
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SIGNATURE   PHILLIP J. COLLORA                           
TITLE       SECRETARY           
 


<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 011
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           71,601
<INVESTMENTS-AT-VALUE>                          80,650
<RECEIVABLES>                                    4,764
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  85,414
<PAYABLE-FOR-SECURITIES>                         1,693
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        3,493
<TOTAL-LIABILITIES>                              5,186
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        71,040
<SHARES-COMMON-STOCK>                            2,863
<SHARES-COMMON-PRIOR>                            1,994
<ACCUMULATED-NII-CURRENT>                          436
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (297)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,049
<NET-ASSETS>                                    80,228
<DIVIDEND-INCOME>                                  339
<INTEREST-INCOME>                                  541
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (823)
<NET-INVESTMENT-INCOME>                             57
<REALIZED-GAINS-CURRENT>                           818
<APPREC-INCREASE-CURRENT>                        (157)
<NET-CHANGE-FROM-OPS>                              718
<EQUALIZATION>                                     146
<DISTRIBUTIONS-OF-INCOME>                        (115)
<DISTRIBUTIONS-OF-GAINS>                       (1,368)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            939
<NUMBER-OF-SHARES-REDEEMED>                      (190)
<SHARES-REINVESTED>                                120
<NET-CHANGE-IN-ASSETS>                          17,555
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              205
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    823
<AVERAGE-NET-ASSETS>                            69,836
<PER-SHARE-NAV-BEGIN>                            12.89
<PER-SHARE-NII>                                    .04
<PER-SHARE-GAIN-APPREC>                            .08
<PER-SHARE-DIVIDEND>                             (.04)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.49
<EXPENSE-RATIO>                                   1.77
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFOMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 012
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           71,601
<INVESTMENTS-AT-VALUE>                          80,650
<RECEIVABLES>                                    4,764
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  85,414
<PAYABLE-FOR-SECURITIES>                         1,693
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        3,493
<TOTAL-LIABILITIES>                              5,186
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        71,040
<SHARES-COMMON-STOCK>                            3,096
<SHARES-COMMON-PRIOR>                            2,515
<ACCUMULATED-NII-CURRENT>                          436
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (297)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,049
<NET-ASSETS>                                    80,228
<DIVIDEND-INCOME>                                  339
<INTEREST-INCOME>                                  541
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (823)
<NET-INVESTMENT-INCOME>                             57
<REALIZED-GAINS-CURRENT>                           818
<APPREC-INCREASE-CURRENT>                        (157)
<NET-CHANGE-FROM-OPS>                              718
<EQUALIZATION>                                     146
<DISTRIBUTIONS-OF-INCOME>                          (0)
<DISTRIBUTIONS-OF-GAINS>                       (1,363)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            749
<NUMBER-OF-SHARES-REDEEMED>                      (278)
<SHARES-REINVESTED>                                110
<NET-CHANGE-IN-ASSETS>                          17,555
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              205
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    823
<AVERAGE-NET-ASSETS>                            69,836
<PER-SHARE-NAV-BEGIN>                            12.79
<PER-SHARE-NII>                                  (.02)
<PER-SHARE-GAIN-APPREC>                            .06
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.35
<EXPENSE-RATIO>                                   2.71
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 013
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           71,601
<INVESTMENTS-AT-VALUE>                          80,650
<RECEIVABLES>                                    4,764
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  85,414
<PAYABLE-FOR-SECURITIES>                         1,693
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        3,493
<TOTAL-LIABILITIES>                              5,186
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        71,040
<SHARES-COMMON-STOCK>                              431
<SHARES-COMMON-PRIOR>                              308
<ACCUMULATED-NII-CURRENT>                          436
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (297)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,049
<NET-ASSETS>                                    80,228
<DIVIDEND-INCOME>                                  339
<INTEREST-INCOME>                                  541
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (823)
<NET-INVESTMENT-INCOME>                             57
<REALIZED-GAINS-CURRENT>                           818
<APPREC-INCREASE-CURRENT>                        (157)
<NET-CHANGE-FROM-OPS>                              718
<EQUALIZATION>                                     146
<DISTRIBUTIONS-OF-INCOME>                          (0)
<DISTRIBUTIONS-OF-GAINS>                         (181)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            141
<NUMBER-OF-SHARES-REDEEMED>                       (32)
<SHARES-REINVESTED>                                 14
<NET-CHANGE-IN-ASSETS>                          17,555
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              205
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    823
<AVERAGE-NET-ASSETS>                            69,836
<PER-SHARE-NAV-BEGIN>                            12.80
<PER-SHARE-NII>                                  (.02)
<PER-SHARE-GAIN-APPREC>                            .07
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.37
<EXPENSE-RATIO>                                   2.82
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 014
   <NAME> KEMPER HORIZON 20+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           71,601
<INVESTMENTS-AT-VALUE>                          80,650
<RECEIVABLES>                                    4,764
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  85,414
<PAYABLE-FOR-SECURITIES>                         1,693
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        3,493
<TOTAL-LIABILITIES>                              5,186
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        71,040
<SHARES-COMMON-STOCK>                               73
<SHARES-COMMON-PRIOR>                               67
<ACCUMULATED-NII-CURRENT>                          436
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (297)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,049
<NET-ASSETS>                                    80,228
<DIVIDEND-INCOME>                                  339
<INTEREST-INCOME>                                  541
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (823)
<NET-INVESTMENT-INCOME>                             57
<REALIZED-GAINS-CURRENT>                           818
<APPREC-INCREASE-CURRENT>                        (157)
<NET-CHANGE-FROM-OPS>                              718
<EQUALIZATION>                                     146
<DISTRIBUTIONS-OF-INCOME>                          (8)
<DISTRIBUTIONS-OF-GAINS>                          (33)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             79
<NUMBER-OF-SHARES-REDEEMED>                       (76)
<SHARES-REINVESTED>                                  3
<NET-CHANGE-IN-ASSETS>                          17,555
<ACCUMULATED-NII-PRIOR>                            356
<ACCUMULATED-GAINS-PRIOR>                        1,830
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              205
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    823
<AVERAGE-NET-ASSETS>                            69,836
<PER-SHARE-NAV-BEGIN>                            12.96
<PER-SHARE-NII>                                    .08
<PER-SHARE-GAIN-APPREC>                            .09
<PER-SHARE-DIVIDEND>                             (.12)
<PER-SHARE-DISTRIBUTIONS>                        (.48)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.53
<EXPENSE-RATIO>                                   1.00
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 021
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS A
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           72,560
<INVESTMENTS-AT-VALUE>                          79,819
<RECEIVABLES>                                    1,350
<ASSETS-OTHER>                                     652
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  81,821
<PAYABLE-FOR-SECURITIES>                         3,703
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          159
<TOTAL-LIABILITIES>                              3,862
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        70,087
<SHARES-COMMON-STOCK>                            3,185
<SHARES-COMMON-PRIOR>                            2,288
<ACCUMULATED-NII-CURRENT>                          773
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (160)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         7,259
<NET-ASSETS>                                    77,959
<DIVIDEND-INCOME>                                  263
<INTEREST-INCOME>                                1,035
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (692)
<NET-INVESTMENT-INCOME>                            606
<REALIZED-GAINS-CURRENT>                           836
<APPREC-INCREASE-CURRENT>                        (273)
<NET-CHANGE-FROM-OPS>                            1,169
<EQUALIZATION>                                     185
<DISTRIBUTIONS-OF-INCOME>                        (357)
<DISTRIBUTIONS-OF-GAINS>                       (1,098)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,022
<NUMBER-OF-SHARES-REDEEMED>                      (250)
<SHARES-REINVESTED>                                125
<NET-CHANGE-IN-ASSETS>                          14,559
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              199
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    692
<AVERAGE-NET-ASSETS>                            69,049
<PER-SHARE-NAV-BEGIN>                            12.01
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .06
<PER-SHARE-DIVIDEND>                             (.13)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.66
<EXPENSE-RATIO>                                   1.56
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 022
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS B
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           72,560
<INVESTMENTS-AT-VALUE>                          79,819
<RECEIVABLES>                                    1,350
<ASSETS-OTHER>                                     652
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  81,821
<PAYABLE-FOR-SECURITIES>                         3,703
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          159
<TOTAL-LIABILITIES>                              3,862
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        70,087
<SHARES-COMMON-STOCK>                            2,811
<SHARES-COMMON-PRIOR>                            2,466
<ACCUMULATED-NII-CURRENT>                          773
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (160)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         7,259
<NET-ASSETS>                                    77,959
<DIVIDEND-INCOME>                                  263
<INTEREST-INCOME>                                1,035
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (692)
<NET-INVESTMENT-INCOME>                            606
<REALIZED-GAINS-CURRENT>                           836
<APPREC-INCREASE-CURRENT>                        (273)
<NET-CHANGE-FROM-OPS>                            1,169
<EQUALIZATION>                                     185
<DISTRIBUTIONS-OF-INCOME>                        (221)
<DISTRIBUTIONS-OF-GAINS>                       (1,115)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            610
<NUMBER-OF-SHARES-REDEEMED>                      (379)
<SHARES-REINVESTED>                                114
<NET-CHANGE-IN-ASSETS>                          14,559
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              199
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    692
<AVERAGE-NET-ASSETS>                            69,049
<PER-SHARE-NAV-BEGIN>                            12.00
<PER-SHARE-NII>                                    .08
<PER-SHARE-GAIN-APPREC>                            .06
<PER-SHARE-DIVIDEND>                             (.08)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.65
<EXPENSE-RATIO>                                   2.42
<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 1998 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> 023
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS C
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           72,560
<INVESTMENTS-AT-VALUE>                          79,819
<RECEIVABLES>                                    1,350
<ASSETS-OTHER>                                     652
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  81,821
<PAYABLE-FOR-SECURITIES>                         3,703
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          159
<TOTAL-LIABILITIES>                              3,862
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        70,087
<SHARES-COMMON-STOCK>                              657
<SHARES-COMMON-PRIOR>                              494
<ACCUMULATED-NII-CURRENT>                          773
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (160)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         7,259
<NET-ASSETS>                                    77,959
<DIVIDEND-INCOME>                                  263
<INTEREST-INCOME>                                1,035
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (692)
<NET-INVESTMENT-INCOME>                            606
<REALIZED-GAINS-CURRENT>                           836
<APPREC-INCREASE-CURRENT>                        (273)
<NET-CHANGE-FROM-OPS>                            1,169
<EQUALIZATION>                                     185
<DISTRIBUTIONS-OF-INCOME>                         (41)
<DISTRIBUTIONS-OF-GAINS>                         (250)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            171
<NUMBER-OF-SHARES-REDEEMED>                       (32)
<SHARES-REINVESTED>                                 24
<NET-CHANGE-IN-ASSETS>                          14,559
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              199
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    692
<AVERAGE-NET-ASSETS>                            69,049
<PER-SHARE-NAV-BEGIN>                            11.98
<PER-SHARE-NII>                                    .11
<PER-SHARE-GAIN-APPREC>                            .06
<PER-SHARE-DIVIDEND>                             (.07)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.67
<EXPENSE-RATIO>                                   2.18
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO SHAREHOLDERS
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0001001983
<NAME> KEMPER HORIZON FUND
<SERIES>
   <NUMBER> 024
   <NAME> KEMPER HORIZON 10+ PORTFOLIO - CLASS I
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           72,560
<INVESTMENTS-AT-VALUE>                          79,819
<RECEIVABLES>                                    1,350
<ASSETS-OTHER>                                     652
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  81,821
<PAYABLE-FOR-SECURITIES>                         3,703
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          159
<TOTAL-LIABILITIES>                              3,862
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        70,087
<SHARES-COMMON-STOCK>                               35
<SHARES-COMMON-PRIOR>                               33
<ACCUMULATED-NII-CURRENT>                          773
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          (160)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         7,259
<NET-ASSETS>                                    77,959
<DIVIDEND-INCOME>                                  263
<INTEREST-INCOME>                                1,035
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (692)
<NET-INVESTMENT-INCOME>                            606
<REALIZED-GAINS-CURRENT>                           836
<APPREC-INCREASE-CURRENT>                        (273)
<NET-CHANGE-FROM-OPS>                            1,169
<EQUALIZATION>                                     185
<DISTRIBUTIONS-OF-INCOME>                          (5)
<DISTRIBUTIONS-OF-GAINS>                          (14)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             28
<NUMBER-OF-SHARES-REDEEMED>                       (28)
<SHARES-REINVESTED>                                  2
<NET-CHANGE-IN-ASSETS>                          14,559
<ACCUMULATED-NII-PRIOR>                            606
<ACCUMULATED-GAINS-PRIOR>                        1,481
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              199
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    692
<AVERAGE-NET-ASSETS>                            69,049
<PER-SHARE-NAV-BEGIN>                            11.97
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .06
<PER-SHARE-DIVIDEND>                             (.16)
<PER-SHARE-DISTRIBUTIONS>                        (.41)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.64
<EXPENSE-RATIO>                                   1.30
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 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-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           40,602
<INVESTMENTS-AT-VALUE>                          43,062
<RECEIVABLES>                                      659
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                               785
<TOTAL-ASSETS>                                  44,506
<PAYABLE-FOR-SECURITIES>                           343
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          107
<TOTAL-LIABILITIES>                                450
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        41,187
<SHARES-COMMON-STOCK>                            1,718
<SHARES-COMMON-PRIOR>                            1,070
<ACCUMULATED-NII-CURRENT>                          438
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (29)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,460
<NET-ASSETS>                                    44,056
<DIVIDEND-INCOME>                                   88 
<INTEREST-INCOME>                                  792
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (348)
<NET-INVESTMENT-INCOME>                            532
<REALIZED-GAINS-CURRENT>                           272
<APPREC-INCREASE-CURRENT>                         (25)
<NET-CHANGE-FROM-OPS>                              779
<EQUALIZATION>                                     136
<DISTRIBUTIONS-OF-INCOME>                        (238)
<DISTRIBUTIONS-OF-GAINS>                         (358)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,034
<NUMBER-OF-SHARES-REDEEMED>                      (440)
<SHARES-REINVESTED>                                 54
<NET-CHANGE-IN-ASSETS>                          13,356
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              102
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    348
<AVERAGE-NET-ASSETS>                            35,176
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .03
<PER-SHARE-DIVIDEND>                             (.19)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.81
<EXPENSE-RATIO>                                   1.60
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 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-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           40,602
<INVESTMENTS-AT-VALUE>                          43,062
<RECEIVABLES>                                      659
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                               785
<TOTAL-ASSETS>                                  44,506
<PAYABLE-FOR-SECURITIES>                           343
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          107
<TOTAL-LIABILITIES>                                450
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        41,187
<SHARES-COMMON-STOCK>                            1,935
<SHARES-COMMON-PRIOR>                            1,413
<ACCUMULATED-NII-CURRENT>                          438
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (29)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,460
<NET-ASSETS>                                    44,056
<DIVIDEND-INCOME>                                   88
<INTEREST-INCOME>                                  792
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (348)
<NET-INVESTMENT-INCOME>                            532
<REALIZED-GAINS-CURRENT>                           272
<APPREC-INCREASE-CURRENT>                         (25)
<NET-CHANGE-FROM-OPS>                              779
<EQUALIZATION>                                     136
<DISTRIBUTIONS-OF-INCOME>                        (248)
<DISTRIBUTIONS-OF-GAINS>                         (464)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            592
<NUMBER-OF-SHARES-REDEEMED>                      (134)
<SHARES-REINVESTED>                                 64
<NET-CHANGE-IN-ASSETS>                          13,356
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              102
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    348
<AVERAGE-NET-ASSETS>                            35,176
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .16
<PER-SHARE-GAIN-APPREC>                            .03
<PER-SHARE-DIVIDEND>                             (.15)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.83
<EXPENSE-RATIO>                                   2.17
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATION IS SHOWN AT THE CLASS LEVEL. ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES. THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1998 SEMI-ANNUAL REPORT TO
SHAREHOLDERS AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL
STATEMENTS.
</LEGEND>
<CIK> 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-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           40,602
<INVESTMENTS-AT-VALUE>                          43,062
<RECEIVABLES>                                      659
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                               785
<TOTAL-ASSETS>                                  44,506
<PAYABLE-FOR-SECURITIES>                           343
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          107
<TOTAL-LIABILITIES>                                450
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        41,187
<SHARES-COMMON-STOCK>                              405
<SHARES-COMMON-PRIOR>                              281
<ACCUMULATED-NII-CURRENT>                          438
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (29)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,460
<NET-ASSETS>                                    44,056
<DIVIDEND-INCOME>                                   88
<INTEREST-INCOME>                                  792
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (348)
<NET-INVESTMENT-INCOME>                            532
<REALIZED-GAINS-CURRENT>                           272
<APPREC-INCREASE-CURRENT>                         (25)
<NET-CHANGE-FROM-OPS>                              779
<EQUALIZATION>                                     136
<DISTRIBUTIONS-OF-INCOME>                         (52)
<DISTRIBUTIONS-OF-GAINS>                          (95)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            126
<NUMBER-OF-SHARES-REDEEMED>                        (15)
<SHARES-REINVESTED>                                 13
<NET-CHANGE-IN-ASSETS>                          13,356
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              102
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    348
<AVERAGE-NET-ASSETS>                            35,176
<PER-SHARE-NAV-BEGIN>                            11.07
<PER-SHARE-NII>                                    .15
<PER-SHARE-GAIN-APPREC>                            .03
<PER-SHARE-DIVIDEND>                             (.15)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.83
<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 1998 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 I
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          JUL-31-1998
<PERIOD-START>                             AUG-01-1997
<PERIOD-END>                               JAN-31-1998
<INVESTMENTS-AT-COST>                           40,602
<INVESTMENTS-AT-VALUE>                          43,062
<RECEIVABLES>                                      659
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                               785
<TOTAL-ASSETS>                                  44,506
<PAYABLE-FOR-SECURITIES>                           343
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          107
<TOTAL-LIABILITIES>                                450
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        41,187
<SHARES-COMMON-STOCK>                               13
<SHARES-COMMON-PRIOR>                               12
<ACCUMULATED-NII-CURRENT>                          438
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                           (29)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         2,460
<NET-ASSETS>                                    44,056
<DIVIDEND-INCOME>                                   88
<INTEREST-INCOME>                                  792
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (348)
<NET-INVESTMENT-INCOME>                            532
<REALIZED-GAINS-CURRENT>                           272
<APPREC-INCREASE-CURRENT>                         (25)
<NET-CHANGE-FROM-OPS>                              779
<EQUALIZATION>                                     136
<DISTRIBUTIONS-OF-INCOME>                          (3)
<DISTRIBUTIONS-OF-GAINS>                           (3)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             14
<NUMBER-OF-SHARES-REDEEMED>                        (14)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          13,356
<ACCUMULATED-NII-PRIOR>                            311
<ACCUMULATED-GAINS-PRIOR>                          619
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              102
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    348
<AVERAGE-NET-ASSETS>                            35,176
<PER-SHARE-NAV-BEGIN>                            11.06
<PER-SHARE-NII>                                    .07
<PER-SHARE-GAIN-APPREC>                            .17
<PER-SHARE-DIVIDEND>                             (.21)
<PER-SHARE-DISTRIBUTIONS>                        (.27)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              10.82
<EXPENSE-RATIO>                                   1.23
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
        

</TABLE>







          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 1


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

          Item 1:   Election of the Board of Trustees

                    James E. Akins 
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,357,387
                       WITHHELD            83,064

                    Arthur R. Gottschalk  
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,359,825
                       WITHHELD            80,625
                    
                    Frederick T. Kelsey
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,367,496
                       WITHHELD            72,954

                    Daniel Pierce    
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,361,712               
                       WITHHELD            78,739


























          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 2

                    Fred B. Renwick 

                       Vote             Number
                       ----             ---------
                       FOR              7,367,496
                       WITHHELD            72,954

                    John B. Tingleff
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,367,496
                       WITHHELD            72,954

                    Edmond D. Villani   
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,360,552
                       WITHHELD            79,899
                    
                    John B. Weithers
                                                   
                       Vote             Number     
                       ----             ---------
                       FOR              7,367,496
                       WITHHELD            72,954

          Item 2:   Selection of Independent Auditors

                       Vote             Number     
                       ----             ---------
                       FOR              7,243,778
                       AGAINST             66,597
                       ABSTAIN            130,077

























          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 3

          Item 3:   New Investment Management Agreement
                                        
                    Horizon 20+ Portfolio

                       Vote             Number 
                       ----             ---------
                       FOR              2,732,295
                       AGAINST             34,727
                       ABSTAIN             56,906

                    Horizon 10+ Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              2,764,240
                       AGAINST             23,323
                       ABSTAIN             39,664

                    Horizon 5 Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              1,407,932
                       AGAINST             22,562
                       ABSTAIN             53,921

          Item 5:   New Sub-Advisory Agreement

                    Horizon 20+ Portfolio

                       Vote             Number 
                       ----             ---------
                       FOR              2,711,452
                       AGAINST             43,574
                       ABSTAIN             68,901


























          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 4

                    Horizon 10+ Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              2,761,525
                       AGAINST             11,853
                       ABSTAIN             53,849

                    Horizon 5 Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              1,414,146
                       AGAINST              9,650
                       ABSTAIN             60,620

          Item 7:   New Rule 12b-1 Distribution Plan

                    Horizon 20+ Portfolio 
                    (for Class B shareholders)

                       Vote             Number
                       ----             ---------
                       FOR              1,381,470
                       AGAINST             19,629
                       ABSTAIN             43,359

                    Horizon 20+ Portfolio
                    (for Class C shareholders)

                       Vote             Number
                       ----             ---------
                       FOR                169,787
                       AGAINST              3,295
                       ABSTAIN              6,877
























          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 5

                    Horizon 10+ Portfolio
                    (for Class B shareholders)

                       Vote             Number
                       ----             ---------
                       FOR              1,264,666
                       AGAINST              5,697
                       ABSTAIN             39,825

                    Horizon 10+ Portfolio
                    (for Class C shareholders)

                       Vote             Number
                       ----             ---------
                       FOR                287,734
                       AGAINST                 16
                       ABSTAIN              2,722

                    Horizon 5 Portfolio
                    (for Class B shareholders)

                       Vote             Number
                       ----             ---------
                       FOR                707,837
                       AGAINST              2,789
                       ABSTAIN             39,021

                    Horizon 5 Portfolio
                    (for Class C shareholders)

                       Vote             Number
                       ----             ---------
                       FOR                188,530
                       AGAINST                  0
                       ABSTAIN              5,821

























          Exhibit 77C
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98
          File No. 811-7365
          Page 6

          Item 8:   Approve changes in the investment policies

                    Horizon 20+ Portfolio

                       Vote             Number 
                       ----             ---------
                       FOR              2,671,262
                       AGAINST            112,409
                       ABSTAIN            124,920

                    Horizon 10+ Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              2,758,868
                       AGAINST             99,899
                       ABSTAIN            112,211

                    Horizon 5 Portfolio

                       Vote             Number
                       ----             ---------
                       FOR              1,524,789
                       AGAINST             34,273
                       ABSTAIN             91,097



          MRB|W:\FUNDS\NSAR.EXH\KHF\77C.198|030698



























Exhibit 770
Kemper Horizon Funds
Form N-SAR for the period ended 1/31/98
File No. 811-7365

Kemper Horizon 20+ Portfolio

Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Kemper Horizon 20+ Portfolio
Amount Purchased: 2,100 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT Alex. Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.



Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Kemper Horizon 20+ Portfolio
Amount Purchased: 700 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Company, Inc., Edward D. Jones & Co., McDonald
& Company Securities, Inc., Principal Financial
Securities, Inc., Raymond James & Associates, Inc., Roney
& Co., LLC, Scott & Stringfellow, Inc., Stephens Inc.,
Tucker Anthony Inc.
Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Kemper Horizon 20+ Portfolio
Amount Purchased: 1,400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.


Kemper Horizon 10+ Portfolio


Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Kemper Horizon 10+ Portfolio
Amount Purchased: 2,100 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): 0.1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT Alex. Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.



Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Kemper Horizon 10+ Portfolio
Amount Purchased: 600 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Co., Inc., Edward D. Jones & Co., McDonald &
Company Securities, Inc., Principal Financial Securities,
Inc., Raymond James & Associates, Inc., Roney & Co., LLC,
Scott & Stringfellow, Inc., Stephens Inc., Tucker Anthony
Inc.



Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Kemper Horizon 10+ Portfolio
Amount Purchased: 1,200 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.
Kemper Horizon 5+ Portfolio


Offering Date: 10/28/97
Description of Security: Casella Waste Systems, Inc.
Total Amount of Underwriting: 4,000,000 Shares
Name of Fund: Kemper Horizon 5+ Portfolio
Amount Purchased: 700 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.8%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Donaldson, Lufkin & Jenrette Securities Corp., Oppenheimer
& Co., Inc., BT. Alex Brown Inc., PaineWebber Inc., Smith
Barney Inc., Wasserstein Perella Securities, Inc., Moors &
Cabot, Inc., Advest, Inc., Robert W. Baird & Co. Inc.,
First Analysis Securities Corp., GS2 Securities, Inc.,
Interstate/Johnson Lane Corp., Raymond James & Associates,
Inc., Tucker Anthony Inc., Van Kasper & Co.


Offering Date: 11/03/97
Description of Security: AMF Bowling, Inc.
Total Amount of Underwriting: 13,500,000 Shares
Name of Fund: Kemper Horizon 5+ Portfolio
Amount Purchased: 200 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 0.1%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: Goldman, Sachs & Co.
Underwriting syndicates members: Goldman, Sachs & Co.,
Morgan Stanley, Dean Witter, Discover and Co., Cowen &
Co., Schroder & Co. Inc., A.G. Edwards & Sons, Inc.,
Everen Securities, Inc., CIBC Oppenheimer Corp.,
PaineWebber Inc., Salomon Brothers Inc., Smith Barney
Inc., Wasserstein Perella Securities, Inc., Wheat First
Butcher Singer, Advest, Inc., Dain Bosworth Inc.,
Davenport & Company LLC, Interstate/Johnson Lane Corp.,
Jefferies & Company, Inc., Edward D. Jones & Co., McDonald
& Company Securities, Inc., Principal Financial
Securities, Inc., Raymond James & Associates, Inc., Roney
& Co., LLC, Scott & Stringfellow, Inc., Stephens Inc.,
Tucker Anthony Inc.




Offering Date: 11/19/97
Description of Security: Noble International, Ltd.
Total Amount of Underwriting: 3,300,000 Shares
Name of Fund: Kemper Horizon 5+ Portfolio
Amount Purchased: 400 Shares
Affiliate That Participated in Underwriting: Gruntal and
Co.
Amount Purchased 4% Limit (1): 1.2%
Amount Purchased 3% Limit (2): less than .1%
Purchased From: BlueStone Capital Partners, L.P.
Underwriting syndicates members: BlueStone Capital
Partners, L.P., Rodman & Renshaw, Inc., Allen & Company
Inc., Arnhold and S. Bleichroeder, Inc., C.E. Unterberg,
Towbin, Cleary Gull Reiland & McDevitt Inc., Cowen & Co.,
Dain Bosworth Inc., Everen Securities, Inc., Fahnestock &
Co. Inc., Ferris, Baker Watts, Inc., Gabelli & Company,
Inc., Gerard Klauer Mattison & Co., Inc., Janney
Montgomery Scott Inc., Jefferies & Company, Inc.,
Ladenburg Thalmann & Co., Inc., Mesirow Financial, Inc.,
Needham & Company, Inc., Pacific Crest Securities, Inc.,
Sanders Morris Mundy, Scott & Stringfellow, Inc., Stifel,
Nicolaus & Company, Inc., Van Kasper & Company, Oscar
Gruss & Son Inc., Trautman Kramer & Company, Inc., Value
Investing Partners, Inc., Werbel-Roth Securities Inc.







(1) The amount purchased may not be greater than 4% of
the total principal amount of an issue.  Percentage
applies to all Funds purchasing shares.

(2) The amount purchased may not be greater than 3% of
the Funds total assets.










          Exhibit 77Q1(e)(3)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98 
          File No. 811-7365

                           INVESTMENT MANAGEMENT AGREEMENT

                                 Kemper Horizon Fund
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

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

                           Investment Management Agreement
                             Kemper Horizon 20+ Portfolio

          Ladies and Gentlemen:

          KEMPER HORIZON FUND (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company.  Pursuant to the Trust's Declaration of
          Trust, as amended from time-to-time (the "Declaration"), the
          Board of Trustees is authorized to issue the Trust's shares of
          beneficial interest (the "Shares"), in separate series, or funds.
          The Board of Trustees has authorized Kemper Horizon 20+ Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

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

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













          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

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

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

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

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

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



                                          2












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

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

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

                                          3












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

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

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

                                          4












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

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

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Trust on behalf of the Fund shall pay you
          in United States Dollars on the last day of each month the unpaid
          balance of a fee equal to  the excess of (a) 1/12 of .58 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; provided that, for any calendar month during
          which the average of such values exceeds $250,000,000 the fee
          payable for that month based on the portion of the average of
          such values in excess of $250,000,000 shall be 1/12 of .55 of 1
          percent of such portion; provided that, for any calendar month
          during which the average of such values exceeds $1,000,000,000,

                                          5












          the fee payable for that month based on the portion of the
          average of such values in excess of $1,000,000,000 shall be 1/12
          of .53 of 1 percent of such portion; provided that, for any
          calendar month during which the average of such values exceeds
          $2,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of $2,500,000,000 
          shall be 1/12 of .51 of 1 percent of such portion; provided that,
          for any calendar month during which the average of such values
          exceeds $5,000,000,000, the fee payable for that month based on
          the portion of the average of such values in excess of
          $5,000,000,000 shall be 1/12 of .48 of 1 percent of such portion;
          provided that, for any calendar month during which the average of
          such values exceeds $7,500,000,000, the fee payable for that
          month based on the portion of the average of such values in
          excess of $7,500,000,000 shall be 1/12 of .46 of 1 percent of
          such portion; provided that, for any calendar month during which
          the average of such values exceeds 10,000,000,000, the fee
          payable for that month based on the portion of the average of
          such values in excess of $10,000,000,000 shall be 1/12 of .44 of
          1 percent of such portion; and provided that, for any calendar
          month during which the average of such values exceeds
          $12,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of
          $12,500,000,000 shall be 1/12 of .42 of 1 percent of such
          portion; over (b) any compensation waived by you from time to
          time (as more fully described below).  You shall be entitled to
          receive during any month such interim payments of your fee
          hereunder as you shall request, provided that no such payment
          shall exceed 75 percent of the amount of your fee then accrued on
          the books of the Fund and unpaid.

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



                                          6












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

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

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

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

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

                                          7












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

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

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

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

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

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

                                          8












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

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

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

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

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























                                          9












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

                                        Yours very truly,

                                        KEMPER HORIZON FUND, on behalf of
                                        Kemper Horizon 20+ Portfolio

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


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



                                        SCUDDER KEMPER INVESTMENTS, INC.

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




























                                          10














          Exhibit 77Q1(e)(2)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 1/31/98 
          File No. 811-7365

                           INVESTMENT MANAGEMENT AGREEMENT

                                 Kemper Horizon Fund
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

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

                           Investment Management Agreement
                             Kemper Horizon 10+ Portfolio

          Ladies and Gentlemen:

          KEMPER HORIZON FUND (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company.  Pursuant to the Trust's Declaration of
          Trust, as amended from time-to-time (the "Declaration"), the
          Board of Trustees is authorized to issue the Trust's shares of
          beneficial interest (the "Shares"), in separate series, or funds.
          The Board of Trustees has authorized Kemper Horizon 10+ Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

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

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













          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

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

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

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

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

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



                                          2












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

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

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

                                          3












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

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

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

                                          4












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

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

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Trust on behalf of the Fund shall pay you
          in United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .58 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; provided that, for any calendar month during
          which the average of such values exceeds $250,000,000 the fee
          payable for that month based on the portion of the average of
          such values in excess of $250,000,000 shall be 1/12 of .55 of 1
          percent of such portion; provided that, for any calendar month
          during which the average of such values exceeds $1,000,000,000,

                                          5












          the fee payable for that month based on the portion of the
          average of such values in excess of $1,000,000,000 shall be 1/12
          of .53 of 1 percent of such portion; provided that, for any
          calendar month during which the average of such values exceeds
          $2,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of $2,500,000,000 
          shall be 1/12 of .51 of 1 percent of such portion; provided that,
          for any calendar month during which the average of such values
          exceeds $5,000,000,000, the fee payable for that month based on
          the portion of the average of such values in excess of
          $5,000,000,000 shall be 1/12 of .48 of 1 percent of such portion;
          provided that, for any calendar month during which the average of
          such values exceeds $7,500,000,000, the fee payable for that
          month based on the portion of the average of such values in
          excess of $7,500,000,000 shall be 1/12 of .46 of 1 percent of
          such portion; provided that, for any calendar month during which
          the average of such values exceeds 10,000,000,000, the fee
          payable for that month based on the portion of the average of
          such values in excess of $10,000,000,000 shall be 1/12 of .44 of
          1 percent of such portion; and provided that, for any calendar
          month during which the average of such values exceeds
          $12,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of
          $12,500,000,000 shall be 1/12 of .42 of 1 percent of such
          portion; over (b) any compensation waived by you from time to
          time (as more fully described below).  You shall be entitled to
          receive during any month such interim payments of your fee
          hereunder as you shall request, provided that no such payment
          shall exceed 75 percent of the amount of your fee then accrued on
          the books of the Fund and unpaid.

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



                                          6












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

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

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

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

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

                                          7












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

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

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

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

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

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

                                          8












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

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

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

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

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























                                          9












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

                                        Yours very truly,

                                        KEMPER HORIZON FUND, on behalf of
                                        Kemper Horizon 10+ Portfolio

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


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



                                        SCUDDER KEMPER INVESTMENTS, INC.

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




























                                          10














          Exhibit 77Q1(e)(1)
          Kemper Horizon Fund 
          Form N-SAR for the period ended 01/31/98 
          File No. 811-7365

                           INVESTMENT MANAGEMENT AGREEMENT

                                 Kemper Horizon Fund
                              222 South Riverside Plaza
                               Chicago, Illinois 60606

                                                          December 31, 1997

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

                           Investment Management Agreement
                              Kemper Horizon 5 Portfolio

          Ladies and Gentlemen:

          KEMPER HORIZON FUND (the "Trust") has been established as a
          Massachusetts business trust to engage in the business of an
          investment company.  Pursuant to the Trust's Declaration of
          Trust, as amended from time-to-time (the "Declaration"), the
          Board of Trustees is authorized to issue the Trust's shares of
          beneficial interest (the "Shares"), in separate series, or funds.
          The Board of Trustees has authorized Kemper Horizon 5 Portfolio
          (the "Fund").  Series may be abolished and dissolved, and
          additional series established, from time to time by action of the
          Trustees.

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

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













          properly certified or authenticated of each of the following
          additional documents related to the Trust and the Fund:

               (a)  The Declaration, as amended to date. 

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

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

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

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

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



                                          2












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

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

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

                                          3












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

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

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

                                          4












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

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

          5.   Management Fee.  For all services to be rendered, payments
          to be made and costs to be assumed by you as provided in sections
          2, 3, and 4 hereof, the Trust on behalf of the Fund shall pay you
          in United States Dollars on the last day of each month the unpaid
          balance of a fee equal to the excess of (a) 1/12 of .58 of 1
          percent of the average daily net assets as defined below of the
          Fund for such month; provided that, for any calendar month during
          which the average of such values exceeds $250,000,000 the fee
          payable for that month based on the portion of the average of
          such values in excess of $250,000,000 shall be 1/12 of .55 of 1
          percent of such portion; provided that, for any calendar month
          during which the average of such values exceeds $1,000,000,000,

                                          5












          the fee payable for that month based on the portion of the
          average of such values in excess of $1,000,000,000 shall be 1/12
          of .53 of 1 percent of such portion; provided that, for any
          calendar month during which the average of such values exceeds
          $2,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of $2,500,000,000 
          shall be 1/12 of .51 of 1 percent of such portion; provided that,
          for any calendar month during which the average of such values
          exceeds $5,000,000,000, the fee payable for that month based on
          the portion of the average of such values in excess of
          $5,000,000,000 shall be 1/12 of .48 of 1 percent of such portion;
          provided that, for any calendar month during which the average of
          such values exceeds $7,500,000,000, the fee payable for that
          month based on the portion of the average of such values in
          excess of $7,500,000,000 shall be 1/12 of  .46 of 1 percent of
          such portion; provided that, for any calendar month during which
          the average of such values exceeds $10,000,000,000, the fee
          payable for that month based on the portion of the average of
          such values in excess of $10,000,000,000 shall be 1/12 of .44 of
          1 percent of such portion; and provided that, for any calendar
          month during which the average of such values exceeds
          $12,500,000,000, the fee payable for that month based on the
          portion of the average of such values in excess of
          $12,500,000,000 shall be 1/12 of .42 of 1 percent of such
          portion; over (b) any compensation waived by you from time to
          time (as more fully described below).  You shall be entitled to
          receive during any month such interim payments of your fee
          hereunder as you shall request, provided that no such payment
          shall exceed 75 percent of the amount of your fee then accrued on
          the books of the Fund and unpaid.

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



                                          6












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

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

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

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

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

                                          7












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

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

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

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

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

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

                                          8












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

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

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

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

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























                                          9












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

                                        Yours very truly,

                                        KEMPER HORIZON FUND, on behalf of
                                        Kemper Horizon 5 Portfolio

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


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



                                        SCUDDER KEMPER INVESTMENTS, INC.

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




























                                          10









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