KEMPER HORIZON FUND
NSAR-B, 1999-10-13
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<PAGE>      PAGE  1
000 B000000 07/31/1999
000 C000000 0001001983
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 6.1
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 64141
013 A00AA01 ERNST & YOUNG LLP
013 B01AA01 CHICAGO
013 B02AA01 IL
013 B03AA01 60606
014 A00AA01 SCUDDER INVESTOR SERVICES, INC.
014 B00AA01 8-298
014 A00AA02 KEMPER DISTRIBUTORS, INC.
014 B00AA02 8-47765
014 A00AA03 GRUNTAL & CO., INC.
014 B00AA03 8-31022
014 A00AA04 THE GMS GROUP, L.L.C. (A GRUNTAL AFFILIATE)
014 B00AA04 8-23936
014 A00AA05 ZURICH CAPTIAL MARKETS
014 B00AA05 8-49827
014 A00AA06 BANK HANDLOWY
014 B00AA06 8-24613
015 A00AA01 STATE STREET BANK AND TRUST COMPANY
015 B00AA01 C
015 C01AA01 BOSTON
015 C02AA01 MA
015 C03AA01 02110
015 E01AA01 X
015 A00AA02 STATE STREET BANK AND TRUST COMPANY
015 B00AA02 S
015 C01AA02 BOSTON
015 C02AA02 MA
015 C03AA02 02110
015 E04AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   72
019 C00AA00 KEMPERFNDS
020 A000001 C.S. FIRST BOSTON CORP.
020 B000001 13-5659485
020 C000001     69
020 A000002 GOLDMAN SACHS & CO.
020 B000002 13-5108880
020 C000002     53
020 A000003 MERRILL LYNCH & CO., INC.
<PAGE>      PAGE  3
020 B000003 13-5674085
020 C000003     41
020 A000004 ALEX BROWN & SONS INCORPORATED
020 B000004 52-1319768
020 C000004     27
020 A000005 SMITH BARNEY INC.
020 B000005 13-1912900
020 C000005     25
020 A000006 S G WARBURG & CO., INC.
020 B000006 UNKNOWN
020 C000006     18
020 A000007 BEAR, STEARNS & CO., INC.
020 B000007 13-3299429
020 C000007     18
020 A000008 MORGAN STANLEY, DEAN WITTER & CO.
020 B000008 13-2655998
020 C000008     18
020 A000009 DEUTCHE BANK CAPITAL
020 B000009 UNKNOWN
020 C000009     18
020 A000010 WEEDEN & CO. LP
020 B000010 13-3364318
020 C000010     15
021  000000      543
022 A000001 GOLDMAN, SACHS & CO.
022 B000001 13-5108880
022 C000001    155770
022 D000001     41281
022 A000002 STATE STEET BANK
022 B000002 UNKNOWN
022 C000002    165421
022 D000002      2026
022 A000003 MERRILL LYNCH & CO.
022 B000003 13-5674085
022 C000003     78247
022 D000003     21258
022 A000004 C.S. FIRST BOSTON CORP.
022 B000004 13-5659485
022 C000004     40379
022 D000004     16170
022 A000005 FIRST CHICAGO NBD CORP.
022 B000005 36-0899825
022 C000005     49069
022 D000005      3496
022 A000006 LEHMAN BORTHERS HOLDINGS, INC.
022 B000006 13-2518466
022 C000006     33648
022 D000006      7993
022 A000007 SALOMON SMITH BARNEY HOLDINGS INC.
022 B000007 22-1660266
022 C000007      1526
<PAGE>      PAGE  4
022 D000007      5009
022 A000008 CHASE MANHATTAN BANK
022 B000008 UNKNOWN
022 C000008      6349
022 D000008        34
022 A000009 MESEROW
022 B000009 UNKNOWN
022 C000009      6175
022 D000009         0
022 A000010 MORGAN STANLEY, DEAN WITTER & CO.
022 B000010 13-2655998
022 C000010      2254
022 D000010      3908
023 C000000     589616
023 D000000     136064
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 Y
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
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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 Y
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
062 A00AA00 N
062 B00AA00   0.0
062 C00AA00   0.0
062 D00AA00   0.0
062 E00AA00   0.0
062 F00AA00   0.0
062 G00AA00   0.0
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062 I00AA00   0.0
062 J00AA00   0.0
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062 L00AA00   0.0
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062 P00AA00   0.0
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 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 Y
078  000000 N
080 C00AA00   150000
081 A00AA00 Y
081 B00AA00 245
082 A00AA00 N
082 B00AA00        0
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 N
086 A010000      0
086 A020000      0
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
025 A000101 BEAR STEARNS & CO., INC.
025 B000101 13-3299429
025 C000101 E
025 D000101     578
025 A000102 CHASE MANHATTAN CORP.
025 B000102 UNKNOWN
025 C000102 E
025 D000102     638
025 A000103 MORGAN STANLEY, DEAN WITTER & CO.
025 B000103 13-2655998
<PAGE>      PAGE  7
025 C000103 E
025 D000103     721
025 D000104       0
025 D000105       0
025 D000106       0
025 D000107       0
025 D000108       0
028 A010100      5309
028 A020100         0
028 A030100         0
028 A040100      2892
028 B010100      6753
028 B020100         0
028 B030100         0
028 B040100      5024
028 C010100      7038
028 C020100         0
028 C030100         0
028 C040100      4980
028 D010100      3408
028 D020100         0
028 D030100         0
028 D040100      3684
028 E010100      4324
028 E020100         0
028 E030100         0
028 E040100      3241
028 F010100      4698
028 F020100         2
028 F030100         0
028 F040100      6044
028 G010100     31530
028 G020100         2
028 G030100         0
028 G040100     25865
028 H000100     28568
029  000100 Y
030 A000100    404
030 B000100  5.75
030 C000100  0.00
031 A000100     18
031 B000100      0
032  000100    386
033  000100      0
034  000100 Y
035  000100    142
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
<PAGE>      PAGE  8
042 D000100   0
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100 100
043  000100    495
044  000100   1218
055 A000100 Y
055 B000100 N
056  000100 Y
057  000100 N
066 A000100 Y
066 B000100 N
066 C000100 Y
066 D000100 N
066 E000100 N
066 F000100 N
066 G000100 N
067  000100 N
068 A000100 N
068 B000100 N
069  000100 N
070 A010100 Y
070 A020100 Y
070 B010100 Y
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 Y
070 D020100 N
070 E010100 Y
070 E020100 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
<PAGE>      PAGE  9
070 O020100 N
070 P010100 N
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100    107847
071 B000100     85465
071 C000100    118478
071 D000100   72
072 A000100 12
072 B000100     1910
072 C000100     1631
072 D000100        0
072 E000100        0
072 F000100      713
072 G000100      290
072 H000100        0
072 I000100        0
072 J000100     1202
072 K000100        0
072 L000100       75
072 M000100       18
072 N000100       13
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100       29
072 S000100        3
072 T000100      495
072 U000100        0
072 V000100        0
072 W000100       18
072 X000100     2856
072 Y000100        0
072 Z000100      685
072AA000100    10447
072BB000100        0
072CC010100        0
072CC020100     5322
072DD010100       62
072DD020100       12
072EE000100      184
073 A010100   0.0000
073 A020100   0.0000
073 B000100   0.0200
073 C000100   0.0000
074 A000100       15
074 B000100      199
074 C000100     2392
<PAGE>      PAGE  10
074 D000100    27811
074 E000100        0
074 F000100   108084
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100     3586
074 K000100        0
074 L000100      837
074 M000100        0
074 N000100   142924
074 O000100     4750
074 P000100      131
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074 R020100        0
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074 R040100     1072
074 S000100        0
074 T000100   136971
074 U010100     4518
074 U020100     5368
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074 W000100   0.0000
074 X000100    30389
074 Y000100        0
075 A000100        0
075 B000100   124471
076  000100     0.00
025 A000201 BEAR STEARNS CO., INC.
025 B000201 13-3299429
025 C000201 E
025 D000201     462
025 A000202 CHASE MANHATTAN CORP.
025 B000202 UNKNOWN
025 C000202 E
025 D000202     684
025 A000203 MORGAN STANLEY, DEAN WITTER & CO.
025 B000203 13-2655998
025 C000203 E
025 D000203     379
025 D000204       0
025 D000205       0
025 D000206       0
025 D000207       0
025 D000208       0
028 A010200      4146
028 A020200         0
028 A030200         0
028 A040200      2069
<PAGE>      PAGE  11
028 B010200      5784
028 B020200         0
028 B030200         0
028 B040200      3171
028 C010200      3795
028 C020200         0
028 C030200         0
028 C040200      8034
028 D010200      3702
028 D020200         0
028 D030200         0
028 D040200      3302
028 E010200      4358
028 E020200      1077
028 E030200         0
028 E040200      3160
028 F010200      2595
028 F020200         0
028 F030200         0
028 F040200      1873
028 G010200     24380
028 G020200      1077
028 G030200         0
028 G040200     21609
028 H000200     21872
029  000200 Y
030 A000200    467
030 B000200  5.75
030 C000200  0.00
031 A000200     20
031 B000200      0
032  000200    447
033  000200      0
034  000200 Y
035  000200     92
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    454
044  000200   1043
055 A000200 Y
055 B000200 N
056  000200 Y
057  000200 N
<PAGE>      PAGE  12
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
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     95506
071 B000200     76865
071 C000200    119749
071 D000200   64
<PAGE>      PAGE  13
072 A000200 12
072 B000200     3714
072 C000200     1316
072 D000200        0
072 E000200        0
072 F000200      732
072 G000200      299
072 H000200        0
072 I000200        0
072 J000200      788
072 K000200        0
072 L000200       78
072 M000200       14
072 N000200       19
072 O000200        0
072 P000200        0
072 Q000200        0
072 R000200       34
072 S000200        3
072 T000200      454
072 U000200        0
072 V000200        0
072 W000200       12
072 X000200     2433
072 Y000200        0
072 Z000200     2597
072AA000200    11571
072BB000200        0
072CC010200        0
072CC020200     7380
072DD010200     1353
072DD020200      698
072EE000200     1127
073 A010200   0.0000
073 A020200   0.0000
073 B000200   0.1100
073 C000200   0.0000
074 A000200       36
074 B000200      300
074 C000200     1998
074 D000200    53282
074 E000200        0
074 F000200    81678
074 G000200        0
074 H000200        0
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074 J000200     1696
074 K000200        0
074 L000200     1625
074 M000200        0
074 N000200   140615
<PAGE>      PAGE  14
074 O000200     1822
074 P000200      121
074 Q000200        0
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074 R030200        0
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074 V010200     0.00
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074 W000200   0.0000
074 X000200    19340
074 Y000200        0
075 A000200        0
075 B000200   127997
076  000200     0.00
025 A000301 BEAR STEARNS CO., INC.
025 B000301 13-3299429
025 C000301 E
025 D000301      93
025 A000302 CHASE MANHATTAN CORP.
025 B000302 UNKNOWN
025 C000302 E
025 D000302      61
025 A000303 MORGAN STANLEY, DEAN WITTER & CO.
025 B000303 13-2655998
025 C000303 E
025 D000303     117
025 D000304       0
025 D000305       0
025 D000306       0
025 D000307       0
025 D000308       0
028 A010300      2925
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028 B020300       446
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028 C010300      5242
028 C020300         0
028 C030300         0
028 C040300      2360
028 D010300      2141
028 D020300         0
028 D030300         0
<PAGE>      PAGE  15
028 D040300      5681
028 E010300      1018
028 E020300       277
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028 G010300     15125
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028 H000300     11521
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030 B000300  5.75
030 C000300  0.00
031 A000300     12
031 B000300      0
032  000300    207
033  000300      0
034  000300 Y
035  000300     50
036 A000300 N
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042 A000300   0
042 B000300   0
042 C000300   0
042 D000300   0
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300 100
043  000300    221
044  000300    574
055 A000300 Y
055 B000300 N
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
068 A000300 N
068 B000300 N
069  000300 N
<PAGE>      PAGE  16
070 A010300 Y
070 A020300 Y
070 B010300 Y
070 B020300 N
070 C010300 Y
070 C020300 N
070 D010300 Y
070 D020300 N
070 E010300 Y
070 E020300 N
070 F010300 Y
070 F020300 Y
070 G010300 Y
070 G020300 N
070 H010300 Y
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
070 J020300 N
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 Y
070 M010300 Y
070 M020300 Y
070 N010300 Y
070 N020300 N
070 O010300 N
070 O020300 N
070 P010300 N
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
071 A000300     35172
071 B000300     31048
071 C000300     53691
071 D000300   58
072 A000300 12
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072 C000300      416
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<PAGE>      PAGE  17
072 L000300       50
072 M000300        5
072 N000300        2
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072 X000300     1099
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072DD020300      818
072EE000300      582
073 A010300   0.0000
073 A020300   0.0000
073 B000300   0.1200
073 C000300   0.0000
074 A000300        0
074 B000300        0
074 C000300        0
074 D000300    35027
074 E000300        0
074 F000300    24291
074 G000300        0
074 H000300        0
074 I000300        0
074 J000300     1026
074 K000300        0
074 L000300      904
074 M000300        0
074 N000300    61248
074 O000300      991
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074 Q000300        0
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074 R030300        0
074 R040300      247
074 S000300        0
074 T000300    59953
074 U010300     2627
074 U020300     2674
<PAGE>      PAGE  18
074 V010300     0.00
074 V020300     0.00
074 W000300   0.0000
074 X000300     8646
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075 A000300    57950
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076  000300     0.00
SIGNATURE   PHILIP COLLORA
TITLE       VICE PRESIDENT


<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 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          128,551
<INVESTMENTS-AT-VALUE>                         138,486
<RECEIVABLES>                                    4,423
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                15
<TOTAL-ASSETS>                                 142,924
<PAYABLE-FOR-SECURITIES>                         4,750
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,203
<TOTAL-LIABILITIES>                              5,953
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       116,508
<SHARES-COMMON-STOCK>                            4,518
<SHARES-COMMON-PRIOR>                            3,656
<ACCUMULATED-NII-CURRENT>                          591
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          9,933
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,939
<NET-ASSETS>                                   136,971
<DIVIDEND-INCOME>                                1,631
<INTEREST-INCOME>                                1,910
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,856
<NET-INVESTMENT-INCOME>                            685
<REALIZED-GAINS-CURRENT>                        10,447
<APPREC-INCREASE-CURRENT>                      (5,322)
<NET-CHANGE-FROM-OPS>                            5,810
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (63)
<DISTRIBUTIONS-OF-GAINS>                          (83)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,153
<NUMBER-OF-SHARES-REDEEMED>                    (1,302)
<SHARES-REINVESTED>                                 11
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                              1
<ACCUMULATED-GAINS-PRIOR>                        (401)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              713
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,856
<AVERAGE-NET-ASSETS>                            58,493
<PER-SHARE-NAV-BEGIN>                            13.48
<PER-SHARE-NII>                                    .13
<PER-SHARE-GAIN-APPREC>                            .44
<PER-SHARE-DIVIDEND>                             (.02)
<PER-SHARE-DISTRIBUTIONS>                        (.02)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              14.01
<EXPENSE-RATIO>                                   1.90


</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 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          128,551
<INVESTMENTS-AT-VALUE>                         138,486
<RECEIVABLES>                                    4,423
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                15
<TOTAL-ASSETS>                                 142,924
<PAYABLE-FOR-SECURITIES>                         4,750
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,203
<TOTAL-LIABILITIES>                              5,953
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       116,508
<SHARES-COMMON-STOCK>                            4,314
<SHARES-COMMON-PRIOR>                            3,784
<ACCUMULATED-NII-CURRENT>                          591
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          9,933
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,939
<NET-ASSETS>                                   136,971
<DIVIDEND-INCOME>                                1,631
<INTEREST-INCOME>                                1,910
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,856
<NET-INVESTMENT-INCOME>                            685
<REALIZED-GAINS-CURRENT>                        10,447
<APPREC-INCREASE-CURRENT>                      (5,322)
<NET-CHANGE-FROM-OPS>                            5,810
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                          (83)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,642
<NUMBER-OF-SHARES-REDEEMED>                    (1,118)
<SHARES-REINVESTED>                                  6
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                              1
<ACCUMULATED-GAINS-PRIOR>                        (401)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              713
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,856
<AVERAGE-NET-ASSETS>                            55,153
<PER-SHARE-NAV-BEGIN>                            13.28
<PER-SHARE-NII>                                    .03
<PER-SHARE-GAIN-APPREC>                            .43
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.02)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.72
<EXPENSE-RATIO>                                   2.61


</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 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          128,551
<INVESTMENTS-AT-VALUE>                         138,486
<RECEIVABLES>                                    4,423
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                15
<TOTAL-ASSETS>                                 142,924
<PAYABLE-FOR-SECURITIES>                         4,750
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,203
<TOTAL-LIABILITIES>                              5,953
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       116,508
<SHARES-COMMON-STOCK>                            1,102
<SHARES-COMMON-PRIOR>                              700
<ACCUMULATED-NII-CURRENT>                          591
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          9,933
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,939
<NET-ASSETS>                                   136,971
<DIVIDEND-INCOME>                                1,631
<INTEREST-INCOME>                                1,910
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,856
<NET-INVESTMENT-INCOME>                            685
<REALIZED-GAINS-CURRENT>                        10,447
<APPREC-INCREASE-CURRENT>                      (5,322)
<NET-CHANGE-FROM-OPS>                            5,810
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                            0
<DISTRIBUTIONS-OF-GAINS>                          (17)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            623
<NUMBER-OF-SHARES-REDEEMED>                      (363)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                              1
<ACCUMULATED-GAINS-PRIOR>                        (401)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              713
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,856
<AVERAGE-NET-ASSETS>                            11,692
<PER-SHARE-NAV-BEGIN>                            13.29
<PER-SHARE-NII>                                  (.01)
<PER-SHARE-GAIN-APPREC>                            .44
<PER-SHARE-DIVIDEND>                                 0
<PER-SHARE-DISTRIBUTIONS>                        (.02)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              13.70
<EXPENSE-RATIO>                                   2.88


</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 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          128,551
<INVESTMENTS-AT-VALUE>                         138,486
<RECEIVABLES>                                    4,423
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                15
<TOTAL-ASSETS>                                 142,924
<PAYABLE-FOR-SECURITIES>                         4,750
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        1,203
<TOTAL-LIABILITIES>                              5,953
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       116,508
<SHARES-COMMON-STOCK>                               14
<SHARES-COMMON-PRIOR>                               91
<ACCUMULATED-NII-CURRENT>                          591
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          9,933
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         9,939
<NET-ASSETS>                                   136,971
<DIVIDEND-INCOME>                                1,631
<INTEREST-INCOME>                                1,910
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,856
<NET-INVESTMENT-INCOME>                            685
<REALIZED-GAINS-CURRENT>                        10,447
<APPREC-INCREASE-CURRENT>                      (5,322)
<NET-CHANGE-FROM-OPS>                            5,810
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (12)
<DISTRIBUTIONS-OF-GAINS>                           (1)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                             49
<NUMBER-OF-SHARES-REDEEMED>                       (48)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                              1
<ACCUMULATED-GAINS-PRIOR>                        (401)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              713
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,856
<AVERAGE-NET-ASSETS>                             1,134
<PER-SHARE-NAV-BEGIN>                            13.62
<PER-SHARE-NII>                                    .27
<PER-SHARE-GAIN-APPREC>                            .46
<PER-SHARE-DIVIDEND>                             (.17)
<PER-SHARE-DISTRIBUTIONS>                        (.02)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              14.16
<EXPENSE-RATIO>                                    .84


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATI0N IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          132,050
<INVESTMENTS-AT-VALUE>                         137,258
<RECEIVABLES>                                    3,321
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                36
<TOTAL-ASSETS>                                 140,615
<PAYABLE-FOR-SECURITIES>                         1,822
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          683
<TOTAL-LIABILITIES>                              2,505
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       121,010
<SHARES-COMMON-STOCK>                            5,672
<SHARES-COMMON-PRIOR>                            4,653
<ACCUMULATED-NII-CURRENT>                          651
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         11,234
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         5,215
<NET-ASSETS>                                   138,110
<DIVIDEND-INCOME>                                1,316
<INTEREST-INCOME>                                3,714
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,433
<NET-INVESTMENT-INCOME>                          2,597
<REALIZED-GAINS-CURRENT>                        11,571
<APPREC-INCREASE-CURRENT>                      (7,380)
<NET-CHANGE-FROM-OPS>                            4,191
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (1,355)
<DISTRIBUTIONS-OF-GAINS>                         (577)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          2,518
<NUMBER-OF-SHARES-REDEEMED>                    (1,651)
<SHARES-REINVESTED>                                152
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                            132
<ACCUMULATED-GAINS-PRIOR>                          759
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              732
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,433
<AVERAGE-NET-ASSETS>                            66,419
<PER-SHARE-NAV-BEGIN>                            12.49
<PER-SHARE-NII>                                    .31
<PER-SHARE-GAIN-APPREC>                            .35
<PER-SHARE-DIVIDEND>                             (.25)
<PER-SHARE-DISTRIBUTIONS>                        (.11)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.79
<EXPENSE-RATIO>                                   1.46


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATI0N IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          132,050
<INVESTMENTS-AT-VALUE>                         137,258
<RECEIVABLES>                                    3,321
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                36
<TOTAL-ASSETS>                                 140,615
<PAYABLE-FOR-SECURITIES>                         1,822
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          683
<TOTAL-LIABILITIES>                              2,505
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       121,010
<SHARES-COMMON-STOCK>                            4,020
<SHARES-COMMON-PRIOR>                            3,408
<ACCUMULATED-NII-CURRENT>                          651
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         11,234
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         5,215
<NET-ASSETS>                                   138,110
<DIVIDEND-INCOME>                                1,316
<INTEREST-INCOME>                                3,714
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,433
<NET-INVESTMENT-INCOME>                          2,597
<REALIZED-GAINS-CURRENT>                        11,571
<APPREC-INCREASE-CURRENT>                      (7,380)
<NET-CHANGE-FROM-OPS>                            4,191
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (560)
<DISTRIBUTIONS-OF-GAINS>                         (439)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,653
<NUMBER-OF-SHARES-REDEEMED>                    (1,118)
<SHARES-REINVESTED>                                 77
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                            132
<ACCUMULATED-GAINS-PRIOR>                          759
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              732
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,433
<AVERAGE-NET-ASSETS>                            48,728
<PER-SHARE-NAV-BEGIN>                            12.48
<PER-SHARE-NII>                                    .20
<PER-SHARE-GAIN-APPREC>                            .35
<PER-SHARE-DIVIDEND>                             (.14)
<PER-SHARE-DISTRIBUTIONS>                        (.11)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.78
<EXPENSE-RATIO>                                   2.34


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATI0N IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          132,050
<INVESTMENTS-AT-VALUE>                         137,258
<RECEIVABLES>                                    3,321
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                36
<TOTAL-ASSETS>                                 140,615
<PAYABLE-FOR-SECURITIES>                         1,822
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          683
<TOTAL-LIABILITIES>                              2,505
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       121,010
<SHARES-COMMON-STOCK>                            1,102
<SHARES-COMMON-PRIOR>                              860
<ACCUMULATED-NII-CURRENT>                          651
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         11,234
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         5,215
<NET-ASSETS>                                   138,110
<DIVIDEND-INCOME>                                1,316
<INTEREST-INCOME>                                3,714
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,433
<NET-INVESTMENT-INCOME>                          2,597
<REALIZED-GAINS-CURRENT>                        11,571
<APPREC-INCREASE-CURRENT>                      (7,380)
<NET-CHANGE-FROM-OPS>                            4,191
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (133)
<DISTRIBUTIONS-OF-GAINS>                         (110)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            517
<NUMBER-OF-SHARES-REDEEMED>                      (294)
<SHARES-REINVESTED>                                 19
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                            132
<ACCUMULATED-GAINS-PRIOR>                          759
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              732
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,433
<AVERAGE-NET-ASSETS>                            12,659
<PER-SHARE-NAV-BEGIN>                            12.44
<PER-SHARE-NII>                                    .18
<PER-SHARE-GAIN-APPREC>                            .35
<PER-SHARE-DIVIDEND>                             (.13)
<PER-SHARE-DISTRIBUTIONS>                        (.11)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.73
<EXPENSE-RATIO>                                   2.50


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<LEGEND>
PER SHARE AND RATIO INFORMATI0N IS SHOWN AT THE CLASS LEVEL.  ALL OTHER
INFORMATION IS COMBINED FOR ALL CLASSES.  THIS SCHEDULE CONTAINS SUMMARY
FINANCIAL INFORMATION EXTRACTED FROM THE 1999 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>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                          132,050
<INVESTMENTS-AT-VALUE>                         137,258
<RECEIVABLES>                                    3,321
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                36
<TOTAL-ASSETS>                                 140,615
<PAYABLE-FOR-SECURITIES>                         1,822
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          683
<TOTAL-LIABILITIES>                              2,505
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       121,010
<SHARES-COMMON-STOCK>                               14
<SHARES-COMMON-PRIOR>                               29
<ACCUMULATED-NII-CURRENT>                          651
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         11,234
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         5,215
<NET-ASSETS>                                   138,110
<DIVIDEND-INCOME>                                1,316
<INTEREST-INCOME>                                3,714
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   2,433
<NET-INVESTMENT-INCOME>                          2,597
<REALIZED-GAINS-CURRENT>                        11,571
<APPREC-INCREASE-CURRENT>                      (7,380)
<NET-CHANGE-FROM-OPS>                            4,191
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (4)
<DISTRIBUTIONS-OF-GAINS>                           (1)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              3
<NUMBER-OF-SHARES-REDEEMED>                       (18)
<SHARES-REINVESTED>                                  0
<NET-CHANGE-IN-ASSETS>                          26,895
<ACCUMULATED-NII-PRIOR>                            132
<ACCUMULATED-GAINS-PRIOR>                          759
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              732
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  2,433
<AVERAGE-NET-ASSETS>                               191
<PER-SHARE-NAV-BEGIN>                            12.46
<PER-SHARE-NII>                                    .36
<PER-SHARE-GAIN-APPREC>                            .36
<PER-SHARE-DIVIDEND>                             (.31)
<PER-SHARE-DISTRIBUTIONS>                        (.11)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              12.76
<EXPENSE-RATIO>                                   1.07


</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 1999 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 PORTFOLIO - CLASS A
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                           57,460
<INVESTMENTS-AT-VALUE>                          59,318
<RECEIVABLES>                                    1,930
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  61,248
<PAYABLE-FOR-SECURITIES>                           991
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          304
<TOTAL-LIABILITIES>                              1,295
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        55,354
<SHARES-COMMON-STOCK>                            2,627
<SHARES-COMMON-PRIOR>                            2,349
<ACCUMULATED-NII-CURRENT>                          223
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          2,517
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,859
<NET-ASSETS>                                    59,953
<DIVIDEND-INCOME>                                  416
<INTEREST-INCOME>                                2,414
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   1,099
<NET-INVESTMENT-INCOME>                          1,731
<REALIZED-GAINS-CURRENT>                         2,875
<APPREC-INCREASE-CURRENT>                      (1,915)
<NET-CHANGE-FROM-OPS>                            2,691
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (568)
<DISTRIBUTIONS-OF-GAINS>                         (582)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,861
<NUMBER-OF-SHARES-REDEEMED>                     (1,671)
<SHARES-REINVESTED>                                 88
<NET-CHANGE-IN-ASSETS>                           4,618
<ACCUMULATED-NII-PRIOR>                            237
<ACCUMULATED-GAINS-PRIOR>                          228
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              333
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,099
<AVERAGE-NET-ASSETS>                            28,095
<PER-SHARE-NAV-BEGIN>                            11.26
<PER-SHARE-NII>                                    .37
<PER-SHARE-GAIN-APPREC>                            .18
<PER-SHARE-DIVIDEND>                             (.38)
<PER-SHARE-DISTRIBUTIONS>                        (.12)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.31
<EXPENSE-RATIO>                                   1.54


</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 1999 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 PORTFOLIO - CLASS B
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                           57,460
<INVESTMENTS-AT-VALUE>                          59,318
<RECEIVABLES>                                    1,930
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  61,248
<PAYABLE-FOR-SECURITIES>                           991
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          304
<TOTAL-LIABILITIES>                              1,295
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        55,354
<SHARES-COMMON-STOCK>                            2,162
<SHARES-COMMON-PRIOR>                            2,099
<ACCUMULATED-NII-CURRENT>                          223
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          2,517
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,859
<NET-ASSETS>                                    59,953
<DIVIDEND-INCOME>                                  416
<INTEREST-INCOME>                                2,414
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   1,099
<NET-INVESTMENT-INCOME>                          1,731
<REALIZED-GAINS-CURRENT>                         2,875
<APPREC-INCREASE-CURRENT>                      (1,915)
<NET-CHANGE-FROM-OPS>                            2,691
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (659)
<DISTRIBUTIONS-OF-GAINS>                         (242)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          1,101
<NUMBER-OF-SHARES-REDEEMED>                    (1,117)
<SHARES-REINVESTED>                                 79
<NET-CHANGE-IN-ASSETS>                           4,618
<ACCUMULATED-NII-PRIOR>                            237
<ACCUMULATED-GAINS-PRIOR>                          228
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              333
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,099
<AVERAGE-NET-ASSETS>                            24,006
<PER-SHARE-NAV-BEGIN>                            11.28
<PER-SHARE-NII>                                    .30
<PER-SHARE-GAIN-APPREC>                            .16
<PER-SHARE-DIVIDEND>                             (.31)
<PER-SHARE-DISTRIBUTIONS>                        (.12)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.31
<EXPENSE-RATIO>                                   2.20


</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 1999 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 PORTFOLIO - CLASS C
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                           57,460
<INVESTMENTS-AT-VALUE>                          59,318
<RECEIVABLES>                                    1,930
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  61,248
<PAYABLE-FOR-SECURITIES>                           991
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          304
<TOTAL-LIABILITIES>                              1,295
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        55,354
<SHARES-COMMON-STOCK>                              497
<SHARES-COMMON-PRIOR>                              444
<ACCUMULATED-NII-CURRENT>                          223
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          2,517
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,859
<NET-ASSETS>                                    59,953
<DIVIDEND-INCOME>                                  416
<INTEREST-INCOME>                                2,414
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   1,099
<NET-INVESTMENT-INCOME>                          1,731
<REALIZED-GAINS-CURRENT>                         2,875
<APPREC-INCREASE-CURRENT>                      (1,915)
<NET-CHANGE-FROM-OPS>                            2,691
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (157)
<DISTRIBUTIONS-OF-GAINS>                          (62)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            248
<NUMBER-OF-SHARES-REDEEMED>                      (214)
<SHARES-REINVESTED>                                 19
<NET-CHANGE-IN-ASSETS>                           4,618
<ACCUMULATED-NII-PRIOR>                            237
<ACCUMULATED-GAINS-PRIOR>                          228
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              333
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,099
<AVERAGE-NET-ASSETS>                             5,684
<PER-SHARE-NAV-BEGIN>                            11.27
<PER-SHARE-NII>                                    .28
<PER-SHARE-GAIN-APPREC>                            .18
<PER-SHARE-DIVIDEND>                             (.31)
<PER-SHARE-DISTRIBUTIONS>                        (.12)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.30
<EXPENSE-RATIO>                                   2.39


</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 1999 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 PORTFOLIO - CLASS I
<MULTIPLIER> 1,000

<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          JUL-31-1999
<PERIOD-START>                             AUG-01-1998
<PERIOD-END>                               JUL-31-1999
<INVESTMENTS-AT-COST>                           57,460
<INVESTMENTS-AT-VALUE>                          59,318
<RECEIVABLES>                                    1,930
<ASSETS-OTHER>                                       0
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  61,248
<PAYABLE-FOR-SECURITIES>                           991
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          304
<TOTAL-LIABILITIES>                              1,295
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        55,354
<SHARES-COMMON-STOCK>                               15
<SHARES-COMMON-PRIOR>                               19
<ACCUMULATED-NII-CURRENT>                          223
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          2,517
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         1,859
<NET-ASSETS>                                    59,953
<DIVIDEND-INCOME>                                  416
<INTEREST-INCOME>                                2,414
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   1,099
<NET-INVESTMENT-INCOME>                          1,731
<REALIZED-GAINS-CURRENT>                         2,875
<APPREC-INCREASE-CURRENT>                      (1,915)
<NET-CHANGE-FROM-OPS>                            2,691
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                          (6)
<DISTRIBUTIONS-OF-GAINS>                           (2)
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                              2
<NUMBER-OF-SHARES-REDEEMED>                        (7)
<SHARES-REINVESTED>                                  1
<NET-CHANGE-IN-ASSETS>                           4,618
<ACCUMULATED-NII-PRIOR>                            237
<ACCUMULATED-GAINS-PRIOR>                          228
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              333
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                  1,099
<AVERAGE-NET-ASSETS>                               166
<PER-SHARE-NAV-BEGIN>                            11.28
<PER-SHARE-NII>                                    .41
<PER-SHARE-GAIN-APPREC>                            .18
<PER-SHARE-DIVIDEND>                             (.44)
<PER-SHARE-DISTRIBUTIONS>                        (.12)
<RETURNS-OF-CAPITAL>                                 0
<PER-SHARE-NAV-END>                              11.31
<EXPENSE-RATIO>                                   1.13


</TABLE>


                   REPORT OF INDEPENDENT AUDITORS


Board of Trustees
Kemper Funds


In  planning and performing our audit of the financial statements  of
each  of  the  Kemper Funds listed in Exhibit A attached hereto  (the
"Funds")  for  the period ended as of the date listed  in  Exhibit  A
attached   hereto  ("Report  Date"),  we  considered  their  internal
control, including control activities for safeguarding securities, in
order  to  determine  our  auditing procedures  for  the  purpose  of
expressing our opinion on the financial statements and to comply with
the  requirements of Form N-SAR, not to provide assurance on internal
control.

The  management  of  the Funds is responsible  for  establishing  and
maintaining   internal  control.  In fulfilling this  responsibility,
estimates  and  judgments by management are required  to  assess  the
expected benefits and related costs of controls.  Generally, controls
that  are  relevant to an audit pertain to the entity's objective  of
preparing financial statements for external purposes that are  fairly
presented   in   conformity   with  generally   accepted   accounting
principles.   Those  controls  include  the  safeguarding  of  assets
against unauthorized acquisition, use or disposition.

Because of inherent limitations in internal control, errors or  fraud
may occur and not be detected.  Also, projection of any evaluation of
internal control to future periods is subject to the risk that it may
become  inadequate  because  of changes in  conditions  or  that  the
effectiveness of the design and operation may deteriorate.

Our  consideration of internal control would not necessarily disclose
all  matters  in  internal control that might be material  weaknesses
under  standards established by the American Institute  of  Certified
Public  Accountants. A material weakness is a condition in which  the
design  or  operation  of  one or more of specific  internal  control
components  does not reduce to a relatively low level the  risk  that
errors or fraud in amounts that would be material in relation to  the
financial  statements being audited may occur  and  not  be  detected
within  a  timely  period  by  employees  in  the  normal  course  of
performing  their  assigned functions. However, we noted  no  matters
involving internal control and its operation, including controls  for
safeguarding  securities, that we consider to be material  weaknesses
as defined above as of Report Date.

This  report is intended solely for the information and  use  of  the
board  of  trustees  and management and the Securities  and  Exchange
Commission.




                                        ERNST & YOUNG LLP


<PAGE>

Chicago, Illinois
September 16, 1999






Kemper Funds
- ------------

                                   Exhibit A
                                   ---------

July 31, 1999
- -------------

Kemper Target Equity Fund -
  Kemper Retirement Fund - Series I
  Kemper Retirement Fund - Series II
  Kemper Retirement Fund - Series III
  Kemper Retirement Fund - Series IV
  Kemper Retirement Fund - Series V
  Kemper Retirement Fund - Series VI
  Kemper Retirement Fund - Series VII
  Kemper Worldwide 2004 Fund

Kemper Horizon Fund
  Kemper Horizon 20+ Portfolio
  Kemper Horizon 10+ Portfolio
  Kemper Horizon 5   Portfolio

Zurich Money Funds -
  Zurich Money Market Fund
  Zurich Government Money Fund
  Zurich Tax-Free Money Fund

Cash Equivalent Fund -
  Money Market Portfolio
  Government Securities Portfolio
  Tax-Exempt Portfolio

Zurich Yieldwise Funds -
  Zurich Yieldwise Money Fund
  Zurich Yieldwise Government Money Fund
  Zurich Yieldwise Municipal Money Fund




                INVESTMENT MANAGEMENT AGREEMENT

                      Kemper Horizon Fund
                   222 South Riverside Plaza
                    Chicago, Illinois 60606

                                                September 7, 1998

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.

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
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
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,
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.

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 September 30, 1999, and continue  in
force  from  year to year thereafter, but only so  long  as  such
continuance is specifically approved at least annually (a) by the
vote  of  a majority of the Trustees who are not parties to  this
Agreement  or interested persons of any party to this  Agreement,
cast  in person at a meeting called for the purpose of voting  on
such  approval, and (b) by the Trustees of the Trust, or  by  the
vote  of a majority of the outstanding voting securities  of  the
Fund.   The  aforesaid  requirement  that  continuance  of   this
Agreement be "specifically approved at least annually"  shall  be
construed in a manner consistent with the 1940 Act and the  rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

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

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

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

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:
                                      President


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


                                   SCUDDER   KEMPER  INVESTMENTS,
INC.

                                   By:
                                      Treasurer




                INVESTMENT MANAGEMENT AGREEMENT

                      Kemper Horizon Fund
                   222 South Riverside Plaza
                    Chicago, Illinois 60606

                                                September 7, 1998

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.

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
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
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,
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.

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 September 30, 1999, and continue  in
force  from  year to year thereafter, but only so  long  as  such
continuance is specifically approved at least annually (a) by the
vote  of  a majority of the Trustees who are not parties to  this
Agreement  or interested persons of any party to this  Agreement,
cast  in person at a meeting called for the purpose of voting  on
such  approval, and (b) by the Trustees of the Trust, or  by  the
vote  of a majority of the outstanding voting securities  of  the
Fund.   The  aforesaid  requirement  that  continuance  of   this
Agreement be "specifically approved at least annually"  shall  be
construed in a manner consistent with the 1940 Act and the  rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

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

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

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

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:
                                      President


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


                                   SCUDDER   KEMPER  INVESTMENTS,
INC.

                                   By:
                                      Treasurer



                INVESTMENT MANAGEMENT AGREEMENT

                      Kemper Horizon Fund
                   222 South Riverside Plaza
                    Chicago, Illinois 60606

                                                September 7, 1998

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.

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
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
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,
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.

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 September 30, 1999, and continue  in
force  from  year to year thereafter, but only so  long  as  such
continuance is specifically approved at least annually (a) by the
vote  of  a majority of the Trustees who are not parties to  this
Agreement  or interested persons of any party to this  Agreement,
cast  in person at a meeting called for the purpose of voting  on
such  approval, and (b) by the Trustees of the Trust, or  by  the
vote  of a majority of the outstanding voting securities  of  the
Fund.   The  aforesaid  requirement  that  continuance  of   this
Agreement be "specifically approved at least annually"  shall  be
construed in a manner consistent with the 1940 Act and the  rules
and regulations thereunder and any applicable SEC exemptive order
therefrom.

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

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

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

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:
                                      President


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


                                   SCUDDER   KEMPER  INVESTMENTS,
INC.

                                   By:
                                      Treasurer




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