SELIGMAN HIGH INCOME FUND SERIES
NSAR-A, 1998-08-28
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<PAGE>      PAGE  1
000 A000000 06/30/98
000 C000000 752372
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 SELIGMAN HIGH INCOME FUND SERIES
001 B000000 811-4103
001 C000000 2128501864
002 A000000 100 PARK AVENUE
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10017
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 U.S. GOVERNMENT SECURITIES SERIES
007 C030100 N
007 C010200  2
007 C010300  3
007 C020300 HIGH-YIELD BOND SERIES
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 J. & W. SELIGMAN & CO. INC.
008 B00AA01 A
008 C00AA01 801-15798
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10017
011 A00AA01 SELIGMAN FINANCIAL SERVICES, INC.
011 B00AA01 8-25845
011 C01AA01 NEW YORK
011 C02AA01 NY
011 C03AA01 10017
012 A00AA01 SELIGMAN DATA CORP.
012 B00AA01 84-1895
012 C01AA01 NEW YORK
012 C02AA01 NY
<PAGE>      PAGE  2
012 C03AA01 10017
013 A00AA01 DELOITTE & TOUCHE LLP
013 B01AA01 NEW YORK
013 B02AA01 NY
013 B03AA01 10281
014 A00AA01 SELIGMAN SERVICES, INC.
014 B00AA01 8-47717
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 C04AA01 1307
015 E01AA01 X
015 A00AA02 CHASE MANHATTAN BANK
015 B00AA02 S
015 C01AA02 NEW YORK
015 C02AA02 NY
015 C03AA02 10036
015 E06AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   52
019 C00AA00 JWSELIGMAN
020 C000001      0
020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000        0
022 A000001 FIRST NATIONAL BANK OF CHICAGO-GRAND CAYMAN
022 B000001 36-0899825
022 C000001   1806860
022 D000001         0
022 A000002 CANADIAN IMPERIAL BK OF COMMERCE-GRAND CAYMAN
022 B000002 13-1942440
022 C000002   1545937
022 D000002     12208
022 A000003 BANK OF MONTREAL-TORONTO
022 B000003 13-4941926
022 C000003   1019525
022 D000003         0
022 A000004 UBS-GRAND CAYMAN
022 B000004 13-2795530
022 C000004    895405
022 D000004         0
<PAGE>      PAGE  3
022 A000005 REPUBLIC NATIONAL BK OF NEW YORK-GRAND CAYMAN
022 B000005 13-2774726
022 C000005    575030
022 D000005         0
022 A000006 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000006 13-2741729
022 C000006    289797
022 D000006    176716
022 A000007 BANK OF NOVA SCOTIA-GRAND CAYMAN
022 B000007 03-8405740
022 C000007    399983
022 D000007         0
022 A000008 BAYERISCHE VEREINSBANK-GRAND CAYMAN
022 B000008 13-2774123
022 C000008    373500
022 D000008         0
022 A000009 NATIONAL WESTMINSTER BANK-GRAND CAYMAN
022 B000009 13-5634601
022 C000009    365320
022 D000009         0
022 A000010 HSBC SECURITIES, INC.
022 B000010 13-2650272
022 C000010    333214
022 D000010         0
023 C000000    9260131
023 D000000     637781
024  00AA00 N
025 D00AA01       0
025 D00AA02       0
025 D00AA03       0
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 Y
026 G010000 N
026 G020000 N
026 H000000 Y
027  000000 Y
037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
049  00AA00 N
<PAGE>      PAGE  4
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 Y
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
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 N
078  000000 N
080 C00AA00        0
081 B00AA00   0
082 B00AA00        0
083 B00AA00        0
084 B00AA00        0
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
028 A010100      4203
028 A020100       174
028 A030100         0
<PAGE>      PAGE  5
028 A040100      2827
028 B010100      6467
028 B020100       154
028 B030100         0
028 B040100      9231
028 C010100      6097
028 C020100       138
028 C030100         0
028 C040100      7798
028 D010100      2750
028 D020100       169
028 D030100         0
028 D040100      2562
028 E010100      5195
028 E020100       134
028 E030100         0
028 E040100      3659
028 F010100      2533
028 F020100       146
028 F030100         0
028 F040100      3478
028 G010100     27245
028 G020100       915
028 G030100         0
028 G040100     29555
028 H000100       728
029  000100 Y
030 A000100     28
030 B000100  4.75
030 C000100  0.00
031 A000100      2
031 B000100      0
032  000100     26
033  000100      0
034  000100 Y
035  000100     18
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100 100
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100   0
043  000100    121
044  000100      0
045  000100 Y
046  000100 N
047  000100 Y
<PAGE>      PAGE  6
048  000100  0.500
048 A010100        0
048 A020100 0.000
048 B010100        0
048 B020100 0.000
048 C010100        0
048 C020100 0.000
048 D010100        0
048 D020100 0.000
048 E010100        0
048 E020100 0.000
048 F010100        0
048 F020100 0.000
048 G010100        0
048 G020100 0.000
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100        0
048 K020100 0.000
055 A000100 Y
055 B000100 N
056  000100 Y
057  000100 N
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   5.2
062 E000100   0.0
062 F000100   0.0
062 G000100   0.0
062 H000100   0.0
062 I000100   0.0
062 J000100   0.0
062 K000100   0.0
062 L000100  -3.5
062 M000100  46.4
062 N000100  51.9
062 O000100   0.0
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 17.4
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 Y
<PAGE>      PAGE  7
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
070 O010100 N
070 O020100 N
070 P010100 Y
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100     47962
071 B000100     48259
071 C000100     57693
071 D000100   83
072 A000100  6
072 B000100     1932
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100      149
072 G000100        0
072 H000100        0
072 I000100       53
072 J000100        7
072 K000100        7
072 L000100       15
072 M000100        3
<PAGE>      PAGE  8
072 N000100       25
072 O000100        0
072 P000100        0
072 Q000100        0
072 R000100       10
072 S000100        0
072 T000100      121
072 U000100        0
072 V000100        0
072 W000100        4
072 X000100      394
072 Y000100        0
072 Z000100     1538
072AA000100     1665
072BB000100        0
072CC010100        0
072CC020100     1086
072DD010100     1212
072DD020100      240
072EE000100        0
073 A010100   0.1836
073 A020100   0.1569
073 B000100   0.0000
073 C000100   0.0000
074 A000100       71
074 B000100     3138
074 C000100        0
074 D000100    59167
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        0
074 K000100       12
074 L000100      685
074 M000100       43
074 N000100    63116
074 O000100     2500
074 P000100       88
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100      349
074 S000100        0
074 T000100    60179
074 U010100     6610
074 U020100     1431
074 V010100     6.94
074 V020100     6.96
<PAGE>      PAGE  9
074 W000100   0.0000
074 X000100     3163
074 Y000100        0
075 A000100        0
075 B000100    60051
076  000100     0.00
030 A000200      0
030 B000200  0.00
030 C000200  0.00
035  000200      0
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   0
043  000200      0
044  000200      0
028 A010300    163109
028 A020300      7884
028 A030300         0
028 A040300     43092
028 B010300    169086
028 B020300      7384
028 B030300         0
028 B040300     59859
028 C010300    208894
028 C020300      7567
028 C030300         0
028 C040300     81339
028 D010300    171726
028 D020300      9538
028 D030300         0
028 D040300     91896
028 E010300    186622
028 E020300      8465
028 E030300         0
028 E040300     75091
028 F010300    173637
028 F020300     14793
028 F030300         0
028 F040300     86724
028 G010300   1073074
028 G020300     55631
028 G030300         0
028 G040300    438001
028 H000300    125266
029  000300 Y
<PAGE>      PAGE  10
030 A000300   5233
030 B000300  4.75
030 C000300  0.00
031 A000300    602
031 B000300      0
032  000300   4584
033  000300     47
034  000300 Y
035  000300    998
036 A000300 N
036 B000300      0
042 A000300   0
042 B000300   0
042 C000300   0
042 D000300 100
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300   0
043  000300   7872
044  000300      0
045  000300 Y
046  000300 N
047  000300 Y
048  000300  0.000
048 A010300  1000000
048 A020300 0.650
048 B010300        0
048 B020300 0.000
048 C010300        0
048 C020300 0.000
048 D010300        0
048 D020300 0.000
048 E010300        0
048 E020300 0.000
048 F010300        0
048 F020300 0.000
048 G010300        0
048 G020300 0.000
048 H010300        0
048 H020300 0.000
048 I010300        0
048 I020300 0.000
048 J010300        0
048 J020300 0.000
048 K010300  1000000
048 K020300 0.550
055 A000300 N
055 B000300 N
056  000300 Y
057  000300 N
<PAGE>      PAGE  11
062 A000300 Y
062 B000300   0.0
062 C000300   0.0
062 D000300   0.0
062 E000300   0.0
062 F000300   0.0
062 G000300   0.0
062 H000300   0.0
062 I000300   0.0
062 J000300   2.4
062 K000300   0.0
062 L000300   1.6
062 M000300   0.0
062 N000300   0.0
062 O000300   0.0
062 P000300  88.8
062 Q000300   7.2
062 R000300   0.0
063 A000300   0
063 B000300  8.4
064 A000300 N
064 B000300 N
070 A010300 Y
070 A020300 N
070 B010300 N
070 B020300 N
070 C010300 N
070 C020300 N
070 D010300 N
070 D020300 N
070 E010300 Y
070 E020300 N
070 F010300 N
070 F020300 N
070 G010300 N
070 G020300 N
070 H010300 N
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
070 J020300 Y
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 Y
070 M010300 Y
070 M020300 N
070 N010300 Y
070 N020300 N
070 O010300 N
<PAGE>      PAGE  12
070 O020300 N
070 P010300 Y
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
071 A000300   1283778
071 B000300    603578
071 C000300   2150621
071 D000300   28
072 A000300  6
072 B000300   106520
072 C000300     5595
072 D000300        0
072 E000300        0
072 F000300     6637
072 G000300        0
072 H000300        0
072 I000300     1952
072 J000300       97
072 K000300       60
072 L000300       86
072 M000300       19
072 N000300       89
072 O000300      135
072 P000300        0
072 Q000300        0
072 R000300       29
072 S000300        9
072 T000300     7872
072 U000300        0
072 V000300        0
072 W000300       33
072 X000300    17018
072 Y000300        0
072 Z000300    95097
072AA000300    35810
072BB000300    23412
072CC010300     4359
072CC020300        0
072DD010300    38988
072DD020300    25600
072EE000300     6957
073 A010300   0.3394
073 A020300   0.3117
073 B000300   0.0210
073 C000300   0.0000
074 A000300     3910
074 B000300        0
074 C000300    61670
<PAGE>      PAGE  13
074 D000300  2280997
074 E000300   184358
074 F000300        0
074 G000300        0
074 H000300        0
074 I000300        0
074 J000300    17944
074 K000300      348
074 L000300    73281
074 M000300      313
074 N000300  2622821
074 O000300    31640
074 P000300     1407
074 Q000300        0
074 R010300        0
074 R020300        0
074 R030300        0
074 R040300    21887
074 S000300        0
074 T000300  2567887
074 U010300   128589
074 U020300    93973
074 V010300     7.61
074 V020300     7.62
074 W000300   0.0000
074 X000300    70401
074 Y000300        0
075 A000300        0
075 B000300  2244471
076  000300     0.00
SIGNATURE   THOMAS G. ROSE                               
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 011
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES SERIES CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                            61127   
<INVESTMENTS-AT-VALUE>                           62305
<RECEIVABLES>                                      697
<ASSETS-OTHER>                                     114
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63116
<PAYABLE-FOR-SECURITIES>                          2500
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          437
<TOTAL-LIABILITIES>                               2937
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         71595
<SHARES-COMMON-STOCK>                             6610<F1>
<SHARES-COMMON-PRIOR>                             6606<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (12594)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          1178
<NET-ASSETS>                                     45904<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                 1469<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (257)<F1>
<NET-INVESTMENT-INCOME>                           1212<F1>
<REALIZED-GAINS-CURRENT>                          1665
<APPREC-INCREASE-CURRENT>                       (1086)
<NET-CHANGE-FROM-OPS>                             2117
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                       (1212)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           2138<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (2234)<F1>
<SHARES-REINVESTED>                                100<F1>
<NET-CHANGE-IN-ASSETS>                           (816)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (14259)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              113<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    257<F1>
<AVERAGE-NET-ASSETS>                             45470<F1>
<PER-SHARE-NAV-BEGIN>                             6.88<F1>
<PER-SHARE-NII>                                    .18<F1>
<PER-SHARE-GAIN-APPREC>                            .06<F1>
<PER-SHARE-DIVIDEND>                             (.18)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.94<F1>
<EXPENSE-RATIO>                                   1.14<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        
                                                      


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 012
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES SERIES CLASS B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                            61127   
<INVESTMENTS-AT-VALUE>                           62305
<RECEIVABLES>                                      697
<ASSETS-OTHER>                                     114
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63116
<PAYABLE-FOR-SECURITIES>                          2500
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          437
<TOTAL-LIABILITIES>                               2937
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         71595
<SHARES-COMMON-STOCK>                              620<F1>
<SHARES-COMMON-PRIOR>                              467<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (12594)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          1178
<NET-ASSETS>                                      4316<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  122<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                    (36)<F1>
<NET-INVESTMENT-INCOME>                             86<F1>
<REALIZED-GAINS-CURRENT>                          1665
<APPREC-INCREASE-CURRENT>                       (1086)
<NET-CHANGE-FROM-OPS>                             2117
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                         (86)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                            444<F1>
<NUMBER-OF-SHARES-REDEEMED>                      (301)<F1>
<SHARES-REINVESTED>                                 10<F1>
<NET-CHANGE-IN-ASSETS>                           (816)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (14259)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               10<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                     36<F1>
<AVERAGE-NET-ASSETS>                              3759<F1>
<PER-SHARE-NAV-BEGIN>                             6.89<F1>
<PER-SHARE-NII>                                    .16<F1>
<PER-SHARE-GAIN-APPREC>                            .07<F1>
<PER-SHARE-DIVIDEND>                             (.16)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.96<F1>
<EXPENSE-RATIO>                                   1.92<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class B only.  All other data are fund level.
</FN>
        
                                                      


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 014
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES SERIES CLASS D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                            61127   
<INVESTMENTS-AT-VALUE>                           62305
<RECEIVABLES>                                      697
<ASSETS-OTHER>                                     114
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   63116
<PAYABLE-FOR-SECURITIES>                          2500
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          437
<TOTAL-LIABILITIES>                               2937
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         71595
<SHARES-COMMON-STOCK>                             1431<F1>
<SHARES-COMMON-PRIOR>                             1793<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (12594)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                          1178
<NET-ASSETS>                                      9959<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                  341<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (101)<F1>
<NET-INVESTMENT-INCOME>                            240<F1>
<REALIZED-GAINS-CURRENT>                          1665
<APPREC-INCREASE-CURRENT>                       (1086)
<NET-CHANGE-FROM-OPS>                             2117
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (240)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           1367<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (1752)<F1>
<SHARES-REINVESTED>                                 23<F1>
<NET-CHANGE-IN-ASSETS>                           (816)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (14259)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               26<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    101<F1>
<AVERAGE-NET-ASSETS>                             10578<F1>
<PER-SHARE-NAV-BEGIN>                             6.89<F1>
<PER-SHARE-NII>                                    .16<F1>
<PER-SHARE-GAIN-APPREC>                            .07<F1>
<PER-SHARE-DIVIDEND>                             (.16)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.96<F1>
<EXPENSE-RATIO>                                   1.92<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>
        
                                                      


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 031
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                          2452839
<INVESTMENTS-AT-VALUE>                         2527025
<RECEIVABLES>                                    91573
<ASSETS-OTHER>                                    4223
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 2622821
<PAYABLE-FOR-SECURITIES>                         31640
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        23294
<TOTAL-LIABILITIES>                              54934
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       2479920
<SHARES-COMMON-STOCK>                           128589<F1>
<SHARES-COMMON-PRIOR>                            99415<F1>
<ACCUMULATED-NII-CURRENT>                         3043
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          10738
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         74186
<NET-ASSETS>                                    979091<F1>
<DIVIDEND-INCOME>                                 2200<F1>
<INTEREST-INCOME>                                41777<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (4675)<F1>
<NET-INVESTMENT-INCOME>                          39302<F1>
<REALIZED-GAINS-CURRENT>                         12398
<APPREC-INCREASE-CURRENT>                         4359
<NET-CHANGE-FROM-OPS>                           111854
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (38988)<F1>
<DISTRIBUTIONS-OF-GAINS>                        (2686)<F1>
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          69967<F1>
<NUMBER-OF-SHARES-REDEEMED>                    (43848)<F1>
<SHARES-REINVESTED>                               3055<F1>
<NET-CHANGE-IN-ASSETS>                          701194
<ACCUMULATED-NII-PRIOR>                           2353
<ACCUMULATED-GAINS-PRIOR>                         5297
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             2606<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   4675<F1>
<AVERAGE-NET-ASSETS>                            883344<F1>
<PER-SHARE-NAV-BEGIN>                             7.55<F1>
<PER-SHARE-NII>                                    .34<F1>
<PER-SHARE-GAIN-APPREC>                            .08<F1>
<PER-SHARE-DIVIDEND>                             (.34)<F1>
<PER-SHARE-DISTRIBUTIONS>                        (.02)<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.61<F1>
<EXPENSE-RATIO>                                   1.07<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 032
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                          2452839
<INVESTMENTS-AT-VALUE>                         2527025
<RECEIVABLES>                                    91573
<ASSETS-OTHER>                                    4223
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 2622821
<PAYABLE-FOR-SECURITIES>                         31640
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        23294
<TOTAL-LIABILITIES>                              54934
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       2479920
<SHARES-COMMON-STOCK>                           114664<F1>
<SHARES-COMMON-PRIOR>                            76978<F1>
<ACCUMULATED-NII-CURRENT>                         3043
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          10738
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         74186
<NET-ASSETS>                                    873057<F1>
<DIVIDEND-INCOME>                                 1828<F1>
<INTEREST-INCOME>                                34853<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (6645)<F1>
<NET-INVESTMENT-INCOME>                          30036<F1>
<REALIZED-GAINS-CURRENT>                         12398
<APPREC-INCREASE-CURRENT>                         4359
<NET-CHANGE-FROM-OPS>                           111854
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (29819)<F1>
<DISTRIBUTIONS-OF-GAINS>                        (2341)<F1>
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          40599<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (4889)<F1>
<SHARES-REINVESTED>                               1976<F1>
<NET-CHANGE-IN-ASSETS>                          701194
<ACCUMULATED-NII-PRIOR>                           2353
<ACCUMULATED-GAINS-PRIOR>                         5297
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             2167<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   6645<F1>
<AVERAGE-NET-ASSETS>                            736559<F1>
<PER-SHARE-NAV-BEGIN>                             7.55<F1>
<PER-SHARE-NII>                                    .31<F1>
<PER-SHARE-GAIN-APPREC>                            .08<F1>
<PER-SHARE-DIVIDEND>                             (.31)<F1>
<PER-SHARE-DISTRIBUTIONS>                        (.02)<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.61<F1>
<EXPENSE-RATIO>                                   1.82<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class B only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 034
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<INVESTMENTS-AT-COST>                          2452839
<INVESTMENTS-AT-VALUE>                         2527025
<RECEIVABLES>                                    91573
<ASSETS-OTHER>                                    4223
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                 2622821
<PAYABLE-FOR-SECURITIES>                         31640
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                        23294
<TOTAL-LIABILITIES>                              54934
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                       2479920
<SHARES-COMMON-STOCK>                            93973<F1>
<SHARES-COMMON-PRIOR>                            70847<F1>
<ACCUMULATED-NII-CURRENT>                         3043
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                          10738
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         74186
<NET-ASSETS>                                    715739<F1>
<DIVIDEND-INCOME>                                 1567<F1>
<INTEREST-INCOME>                                29890<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (5698)<F1>
<NET-INVESTMENT-INCOME>                          25759<F1>
<REALIZED-GAINS-CURRENT>                         12398
<APPREC-INCREASE-CURRENT>                         4359
<NET-CHANGE-FROM-OPS>                           111854
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (25600)<F1>
<DISTRIBUTIONS-OF-GAINS>                        (1930)<F1>
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          29252<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (8349)<F1>
<SHARES-REINVESTED>                               2223<F1>
<NET-CHANGE-IN-ASSETS>                          701194
<ACCUMULATED-NII-PRIOR>                           2353
<ACCUMULATED-GAINS-PRIOR>                         5297
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             1864<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   5698<F1>
<AVERAGE-NET-ASSETS>                            631810<F1>
<PER-SHARE-NAV-BEGIN>                             7.55<F1>
<PER-SHARE-NII>                                    .31<F1>
<PER-SHARE-GAIN-APPREC>                            .09<F1>
<PER-SHARE-DIVIDEND>                             (.31)<F1>
<PER-SHARE-DISTRIBUTIONS>                        (.02)<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.62<F1>
<EXPENSE-RATIO>                                   1.82<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>                                                 
        


</TABLE>


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