SELIGMAN HIGH INCOME FUND SERIES
N-30D, 1995-03-09
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               =================================================================
               Seligman
               High
               Income
               Fund
               Series




               -----------------------------------------------------------------
               10th Annual Report
               1994



               =================================================================
               J&WS



<PAGE>
================================================================================
To the Shareholders
- --------------------------------------------------------------------------------


We are pleased to provide you with  Seligman  High  Income Fund  Series'  Annual
Report,  and to update  you on the U.S.  Government  Securities  Series  and the
High-Yield Bond Series for the year ended December 31, 1994. 

Economic Comment

     Looking back on 1994, the one generalization that can be made with
confidence is that it was a turbulent and trying year for investors. The Federal
Reserve Board (FRB) exhibited an aggressive stance against inflation, putting
through six short-term interest rate hikes by the end of the year. The federal
funds rate--the interest rate charged for interbank loans--increased from 3.00%
on January 3, 1994, to 5.50% on January 3, 1995, and the discount rate--the
interest rate the FRB charges member banks--rose from 3.00% on December 31,
1993, to 4.75% on December 31, 1994. These increases reverberated into the
fixed-income markets and sent the benchmark 30-year Treasury bond yield from
6.35% on December 31, 1993, up to 7.88% at December 31, 1994. Due to the inverse
relationship between price and yield of fixed-income securities, the prices of
these securities declined during the period. 

U.S. Government Securities Series

     For your Series' Class A shares, net asset value per share was $6.47 at
December 31, compared to $6.71 at June 30, and $7.18 a year ago. Dividends
totaling $0.4386 per share were paid during the year. The total return, assuming
the investment of all dividends paid in additional shares, was -0.26% for the
six months and -3.88% for the 12 months ended December 31. Current annualized
yield for the 30 days ended December 31 was 6.41%, calculated at the maximum
offering price of $6.79 per share on December 31.

     For your Fund's Class D shares, net asset value per share was $6.48 at
December 31, compared to $6.72 at June 30, and $7.20 a year ago. Dividends
totaling $0.3647 per share were paid during the year. The total return, assuming
the investment of all dividends paid in additional shares, was -0.83% for the
six months and -5.05% for the 12 months ended December 31. Current annualized
yield for the 30 days ended December 31 was 5.23%, calculated at the net asset
value on December 31.

     The U.S. Government Securities Series' net assets totaled $61 million at
year end.

High-Yield Bond Series

     For your Series' Class A shares, net asset value per share was $6.35 at
December 31, compared to $6.58 at June 30, and $6.94 a year ago. Dividends
totaling $0.6415 per share were paid during the year. The total return, assuming
the investment of all dividends paid in additional shares, was 1.49% for the six
months and 0.78% for the 12 months ended December 31. Current annualized yield
for the 30 days ended December 31 was 10.31%, calculated at the maximum offering
price of $6.67 per share on December 31.

     For your Series' Class D shares, net asset value per share was $6.35 at
December 31, compared to $6.59 at June 30, and $6.94 a year ago. Dividends
totaling $0.5703 per share were paid during the year. The total return, assuming
the investment of all dividends paid in additional shares, was 0.77% for the six
months and -0.30% for the 12 months ended December 31. Current annualized yield
for the 30 days ended December 31 was 9.73%, calculated at the net asset value
on December 31. 

     The High-Yield Bond Series' net assets totaled $68 million at year end.

     Please refer to page 3 for discussions with your Portfolio Managers about
your Series' performance in 1994, followed by the charts and tables that analyze
longer-term performance.

By order of the Trustees,


/s/ William C. Morris

William C. Morris
Chairman

                                                         /s/ Ronald T. Schroeder

                                                             Ronald T. Schroeder
                                                                       President

February 3, 1995

                                                                               1
<PAGE>
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Seligman High Income Fund Series
- --------------------------------------------------------------------------------

HIGHLIGHTS  December 31, 1994

<TABLE>
<CAPTION>
- ---------------------------------------------------------------------------------------------------------------
                                             U.S. Government                             High-Yield
                                            Securities Series                            Bond Series
                                -------------------------------------------------------------------------------
                                      Class A              Class D              Class A              Class D
                                -------------------------------------------------------------------------------
<S>                             <C>                        <C>             <C>                        <C> 
 Net Assets (millions)                 $54.7                $6.1                $59.0                 $9.2
- ---------------------------------------------------------------------------------------------------------------
 Yield*                                  6.41%               5.23%               10.31%                9.73%
- ---------------------------------------------------------------------------------------------------------------
 Dividends**                            $0.4414             $0.3662              $0.6447              $0.5731
- ---------------------------------------------------------------------------------------------------------------
 Net asset value per share              $6.47               $6.48                $6.35                $6.35
- ---------------------------------------------------------------------------------------------------------------
 Maximum offering
 price per share                        $6.79               $6.48                $6.67                $6.35
- ---------------------------------------------------------------------------------------------------------------
 Holdings by                     U.S. Treasury Securities   94.7%          Corporate Bonds            90.0%
 Market Sector                   Net Cash & Short-                         Convertible Bonds           2.6
                                   Term Holdings             5.3           Net Cash & Short-
                                                                             Term Holdings             7.4
- ---------------------------------------------------------------------------------------------------------------
 Weighted Average
 Maturity                                      12.3 years                                 8.2 years
- ---------------------------------------------------------------------------------------------------------------
</TABLE>

*    Current yield representing the annualized yield based upon maximum offering
     price for the 30-day period ended December 31, 1994.

**   Represents  per share amount paid or declared  for the year ended  December
     31, 1994.

Note:  Results  reflect  past  performance,  which is not  indicative  of future
results. The yield has been computed in accordance with SEC regulations and will
vary,  and the  principal  value of an investment  will  fluctuate.  Shares,  if
redeemed, may be worth more or less than their original cost.

2
<PAGE>
================================================================================
Performance Overview -- Seligman U.S. Government Securities Series
- --------------------------------------------------------------------------------


Your Portfolio Manager

Leonard J. Lovito is a Vice President of J. & W. Seligman & Co. Incorporated and
Portfolio Manager of Seligman U.S. Government Securities Series. Mr. Lovito also
serves as Portfolio Manager of Seligman Cash Management Fund. Mr. Lovito joined
Seligman in 1984 as a fixed-income trader and has more than 11 years of
fixed-income trading and portfolio management experience.

                    Economic Factors Affecting Seligman U.S. Government
                    Securities Series

                    "Stronger economic growth and anticipation of higher
                    inflation, which prompted the Federal Reserve Board to raise
[PICTURE]           short-term interest rates six times, adversely
                    affected all bond funds in 1994. However, because your
                    Series held issues with shorter maturities than its peers,
                    it outperformed the average return of all Government bond
                    funds for the year."

                    Your Manager's Investment Strategy

"Once the Federal Reserve Board raised short-term interest rates for the first
time on February 4, 1994, we began to shorten the maturity of your Series'
holdings. This was done in order to lessen the impact of the rate increase, as
short-term bonds react with less volatility than long-term bonds in a period of
changing interest rates. Shorter maturities were kept throughout the year,
resulting in your Series' stronger relative performance. In addition, we favored
U.S. Treasury issues over GNMA securities, as we felt liquidity was somewhat
more important than yield, given the volatile investment environment. Finally,
we did not invest in `risky' derivative securities as a means of achieving
greater yields, nor are we permitted to do so under your Series' investment
policies."

Looking Ahead

"Because the Federal Reserve Board is expected to continue to raise short-term
interest rates until it believes they are high enough to slow the economy's
growth to a non-inflationary pace, the short term may remain difficult for bond
markets. However, the higher interest rates should slow the economy's growth in
1995, resulting in a stabilized bond market in which valuations can begin to
recover. In this situation, we may then begin to purchase longer-term bonds to
take advantage of the possible increase in prices."



                                                                               3
<PAGE>
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Performance Comparison Chart and Table                         December 31, 1994
- --------------------------------------------------------------------------------


This chart compares a $10,000 hypothetical investment made in Seligman U.S.
Government Securities Series Class A shares, with and without the maximum
initial sales charge of 4.75%, since inception on March 11, 1985, through
December 31, 1994, to a $10,000 investment made in the Lehman Brothers
Government/ Mortgage Index (Lehman Index) for the same period. The performance
of Seligman U.S. Government Securities Series Class D shares is not shown in
this chart, but is included in the table below. It is important to keep in mind
that the Index excludes the effect of any fees or sales charges.


[The Table below was represented as a graph in the printed material]

                                                           Lehman Brothers 
                                                              Government/
               with sales charge   without sales charge      Mortgage Index
3/31/85            $ 9,520               $10,000               $10,000
6/30/85            $10,460               $10,987               $10,820
9/30/85            $10,585               $11,118               $11,058
12/31/85           $11,742               $12,334               $11,886
3/31/86            $13,301               $13,972               $12,793
6/30/86            $13,349               $14,022               $12,943
9/30/86            $13,304               $13,975               $13,261
12/31/86           $13,629               $14,316               $13,663
3/31/87            $13,587               $14,272               $13,867
6/30/87            $12,878               $13,527               $13,642
9/30/87            $12,259               $12,877               $13,301
12/31/87           $13,242               $13,910               $14,052
3/31/88            $13,806               $14,502               $14,561
6/30/88            $13,940               $14,643               $14,733
9/30/88            $14,152               $14,865               $15,014
12/31/88           $14,281               $15,001               $15,118
3/31/89            $14,299               $15,020               $15,287
6/30/89            $15,059               $15,818               $16,504
9/30/89            $15,153               $15,917               $16,686
12/31/89           $15,602               $16,389               $17,328
3/31/90            $15,220               $15,987               $17,195
6/30/90            $15,657               $16,446               $17,814
9/30/90            $15,746               $16,540               $18,003
12/31/90           $16,597               $17,434               $18,960
3/31/91            $16,862               $17,712               $19,431
6/30/91            $17,104               $17,967               $19,732
9/30/91            $18,041               $18,950               $20,843
12/31/91           $18,928               $19,883               $21,893
3/31/92            $18,525               $19,459               $21,580
6/30/92            $19,243               $20,213               $22,439
9/30/92            $20,029               $21,039               $23,390
12/31/92           $20,023               $21,032               $23,458
3/31/93            $20,599               $21,638               $24,387
6/30/93            $21,080               $22,142               $25,002
9/30/93            $21,586               $22,675               $25,612
12/31/93           $21,515               $22,600               $25,637
3/31/94            $21,072               $22,135               $24,927
6/30/94            $20,735               $21,780               $24,693
9/30/94            $20,789               $21,837               $24,836
12/31/94           $20,681               $21,724               $24,930



- --------------------------------------------------------------------------------
The table below shows the average annual total returns for the one-year,
five-year, and since-inception periods through December 31, 1994, for Seligman
U.S. Government Securities Series Class A shares, with and without the maximum
initial sales charge of 4.75%, and for the Lehman Index. Also included in the
table are the average annual total returns for the one-year and since-inception
periods through December 31, 1994, for Seligman U.S. Government Securities
Series Class D shares, with and without the effect of the 1% contingent deferred
sales load ("CDSL") imposed on shares redeemed within one year of purchase, and
the Lehman Index. Average

<TABLE>
<CAPTION>
Annual Total Returns
                                                   Since                                              Since
                                  One      Five  Inception                                  One     Inception
                                  Year     Years  3/11/85                                  Year      9/21/93
                                  ----     -----  -------                                  ----      -------
<S>                               <C>      <C>      <C>    <C>                            <C>        <C>    
Seligman U.S. Government                                   Seligman U.S. Government                
   Securities Series+                                        Securities Series+                    
   Class A with sales charge      (8.47)%  4.78%    7.68%    Class D with CDSL            (5.95)%     N/A
   Class A without sales charge   (3.88)   5.80     8.23     Class D without CDSL         (5.05)     (4.46)%
Lehman Index                      (2.76)   7.55     9.81*  Lehman Index                   (2.76)     (2.13)**
*Calculated from 3/31/85.                                  **Calculated from 9/30/93.             

</TABLE>
- --------------------------------------------------------------------------------

THE PERFORMANCE OF CLASS D SHARES WILL BE GREATER THAN OR LESS THAN THE
PERFORMANCE SHOWN FOR CLASS A SHARES, BASED ON THE DIFFERENCES IN SALES CHARGES
AND FEES PAID BY SHAREHOLDERS. Performance data quoted represent changes in
prices and assume that all distributions within the period are invested in
additional shares. The investment return and principal value of an investment
will fluctuate so that shares, if redeemed, may be worth more or less than their
original cost. Past performance is not indicative of future investment results.

+ Although the payment of principal and interest with respect to certain
long-term securities held in the U.S. Government Securities Series is guaranteed
by the U.S. Government or its agencies, the rate of return will vary and the
principal value of an investment in the Series will fluctuate.

4
<PAGE>
================================================================================
Performance Overview -- Seligman High-Yield Bond Series
- --------------------------------------------------------------------------------


Your Portfolio Manager

Daniel Charleston is a Vice President of J. & W. Seligman & Co. Incorporated and
has served as Portfolio Manager of Seligman High-Yield Bond Series since
November 1988. Dan joined Seligman in 1987 as a Portfolio Assistant with
responsibility for valuation analysis of U.S. Treasury instruments and
mortgage-backed securities.

                    Economic Factors Affecting Seligman High-Yield Bond Series

                    "The Federal Reserve Board's decision to tighten monetary
                    policy by raising short-term interest rates had a negative
                    impact on fixed-income markets in 1994. However, the
[PICTURE]           high-yield market in general, and your Series in
                    particular, outperformed other fixed-income asset classes on
                    a relative basis."

                    Your Manager's Investment Strategy

"As a result of several successful strategies, your Series finished 1994 as one
of the top-performing high-yield bond mutual funds. Your portfolio's assets were
significantly invested in `single B' rated issues whose market valuations rely
on the issuing company's financial performance more than the movement of
interest rates. Therefore, these issues are less susceptible to decreasing
values in a rising interest rate environment. In addition, decisions to maintain
a low weighting in zero coupon bonds and to avoid foreign markets contributed to
your Series' strong performance."

Individual Sector Performance

"The continued consolidation in the health care industry resulted in the
improved credit rating of several health care issuers. Many high-yield health
care companies were acquired by investment-grade strategic buyers, leading to
the improvement of their credit ratings. An example is OrNda HealthCorp, the
Series' largest holding, which was upgraded to a `B2' rating from a `B3' rating
due to the company's improved financials. Within cyclical issues, producers of
paper products are enjoying very favorable industry conditions; we continue to
view the credit prospects of both Stone Container and Gaylord Container as very
positive.

"The gaming sector, on the other hand, experienced a turbulent year because of
concerns of overexpansion in riverboat properties--primarily surrounding the
Mississippi Gulf Coast region. Atlantic City issues also performed poorly due to
the threat of an increase in competition from the growing number of gaming
properties in the surrounding areas. Due to poor financial performance and
increased pressure on valuations, we eliminated several gaming positions from
the portfolio."

Looking Ahead

"We believe the high-yield market to be attractive based on its current premium
to U.S. Treasuries, especially within `single B' rated issues. In the year
ahead, we will continue to screen the `single B' rated segment of the market for
fundamentally sound credits with the prospect for future appreciation."

                                                                               5
<PAGE>
================================================================================
Performance Comparison Chart and Table                         December 31, 1994
- --------------------------------------------------------------------------------

This chart compares a $10,000 hypothetical investment made in Seligman
High-Yield Bond Series Class A shares, with and without the maximum initial
sales charge of 4.75%, since inception on March 11, 1985, through December 31,
1994, to a $10,000 investment made in the Merrill Lynch Master Index and the
Lipper High-Yield Index for the same period. The performance of Seligman
High-Yield Bond Series Class D shares is not shown in this chart, but is
included in the table below. It is important to keep in mind that the Indices
exclude the effect of any fees or sales charges.


[The Table below was represented as a graph in the printed material]

<TABLE>
<CAPTION>

                    High Income Fund    High Income Fund         Merrill Lynch           Lipper 
                   with sales charge   without sales charge      Master Index       High-Yield Index
                   -----------------   --------------------      ------------       ----------------
<S>                    <C>                   <C>                   <C>                   <C>    
3/31/85                $ 9,507               $ 9,986               $10,000               $10,000
6/30/85                $10,276               $10,794               $10,793               $10,675
9/30/85                $10,623               $11,158               $11,171               $10,942
12/31/85               $11,217               $11,783               $11,847               $11,603
3/31/86                $12,056               $12,664               $12,706               $12,329
6/30/86                $12,475               $13,104               $13,187               $12,731
9/30/86                $12,653               $13,291               $13,363               $12,718
12/31/86               $12,982               $13,637               $13,783               $13,068
3/31/87                $13,574               $14,259               $14,566               $13,915
6/30/87                $13,222               $13,888               $14,380               $13,783
9/30/87                $12,837               $13,484               $14,268               $13,978
12/31/87               $13,378               $14,052               $14,427               $14,255
3/31/88                $14,019               $14,725               $15,199               $15,061
6/30/88                $14,346               $15,070               $15,615               $15,523
9/30/88                $14,549               $15,282               $15,991               $15,812
12/31/88               $14,899               $15,651               $16,370               $16,115
3/31/89                $15,183               $15,948               $16,713               $16,421
6/30/89                $15,765               $16,560               $17,312               $16,926
9/30/89                $15,773               $16,568               $17,314               $16,700
12/31/89               $15,472               $16,252               $17,063               $16,034
3/31/90                $14,896               $15,647               $16,709               $15,425
6/30/90                $15,408               $16,185               $17,428               $16,090
9/30/90                $14,750               $15,493               $16,371               $14,888
12/31/90               $14,346               $15,069               $16,321               $14,359
3/31/91                $16,099               $16,911               $18,545               $16,483
6/30/91                $16,983               $17,839               $19,687               $17,614
9/30/91                $18,072               $18,983               $20,845               $18,818
12/31/91               $18,750               $19,696               $21,964               $19,759
3/31/92                $20,466               $21,498               $23,622               $21,427
6/30/92                $21,059               $22,121               $24,474               $22,100
9/30/92                $22,213               $23,333               $25,589               $22,982
12/31/92               $22,514               $23,649               $25,953               $23,246
3/31/93                $24,090               $25,305               $27,566               $24,817
6/30/93                $25,106               $26,371               $28,666               $26,021
9/30/93                $25,548               $26,836               $29,394               $26,526
12/31/93               $26,835               $28,188               $30,413               $27,757
3/31/94                $26,673               $28,018               $29,850               $27,475
6/30/94                $26,648               $27,991               $29,504               $27,105
9/30/94                $26,768               $28,117               $29,905               $27,089
12/31/94               $27,045               $28,408               $30,058               $26,726

</TABLE>



- --------------------------------------------------------------------------------
The table below shows the average annual total returns for the one-year,
five-year, and since-inception periods through December 31, 1994, for Seligman
High-Yield Bond Series Class A shares, with and without the maximum initial
sales charge of 4.75%, the Merrill Lynch Master Index, and the Lipper High-Yield
Index. Also included in the table are the average annual total returns for the
one-year and since-inception periods through December 31, 1994, for Seligman
High-Yield Bond Series Class D shares, with and without the effect of the 1%
contingent deferred sales load ("CDSL") imposed on shares redeemed within one
year of purchase, the Merrill Lynch Master Index, and the Lipper High-Yield
Index.

<TABLE>
<CAPTION>
Average Annual Total Returns

                                                      Since                                              Since
                                     One     Five   Inception                                     One  Inception
                                     Year    Years   3/11/85                                     Year    9/21/93
                                     ----    -----   -------                                     ----    -------
<S>                                <C>       <C>     <C>      <C>                               <C>      <C>   
Seligman High-Yield Bond Series                               Seligman High-Yield Bond Series
   Class A with sales charge       (4.06)%   10.73%  10.67%      Class D with CDSL              (1.21)%    N/A
   Class A without sales charge     0.78     11.82   11.23       Class D without CDSL           (0.30)   3.29%
Merrill Lynch Master Index         (1.17)    11.99   11.94*   Merrill Lynch Master Index        (1.17)   1.80**
Lipper High-Yield Index            (3.71)    10.76   10.60*   Lipper High-Yield Index           (3.71)   0.60**
*Calculated from 3/31/85.                                     **Calculated from 9/30/93.

</TABLE>
- --------------------------------------------------------------------------------

THE PERFORMANCE OF CLASS D SHARES WILL BE GREATER THAN OR LESS THAN THE
PERFORMANCE SHOWN FOR CLASS A SHARES, BASED ON THE DIFFERENCES IN SALES CHARGES
AND FEES PAID BY SHAREHOLDERS. Performance data quoted represent changes in
prices and assume that all distributions within the periods are invested in
additional shares. The investment return and principal value of an investment
will fluctuate so that shares, if redeemed, may be worth more or less than their
original stated cost. Past performance is not indicative of future investment
results.

6
<PAGE>
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Portfolios of Investments                                      December 31, 1994
- --------------------------------------------------------------------------------


U.S. GOVERNMENT SECURITIES SERIES

                                                       Principal
                                                        Amount          Value
                                                       ---------     -----------
U.S. Treasury Securities--94.7%
U.S. Treasury Bonds:
   8 1/2%, due 2/15/2020 ..........................   $10,000,000    $10,531,250
   8 7/8%, due 2/15/2019 ..........................    15,000,000     16,368,750
U.S. Treasury Notes:
   8 3/4%, due 10/15/1997 .........................    15,000,000     15,346,875
   8 1/2%, due 4/15/1997 ..........................    10,000,000     10,153,120
   9 3/8%, due 4/15/1996 ..........................     5,000,000      5,114,060
                                                                     -----------
Total U.S. Treasury Securities
   (Cost $57,980,313) .............................                   57,514,055
Repurchase Agreement--3.4%
   (Cost $2,085,000) ..............................                    2,085,000
                                                                     -----------
Total Investments--98.1%
   (Cost $60,065,313) .............................                   59,599,055
Other Assets Less Liabilities--1.9% ...............                    1,177,086
                                                                     -----------
Net Assets--100.0% ................................                  $60,776,141
                                                                     ===========

HIGH-YIELD BOND SERIES

Corporate Bonds--90.0%

Aluminum--2.2%
Kaiser Aluminum Corp. 12 3/4%, due 2/1/2003 .......   $ 1,500,000    $ 1,511,250
                                                                     -----------
Automotive and Related--2.2%
SPX Corp. 11 3/4%,  due 6/1/2002 ..................     1,500,000      1,501,875
                                                                     -----------
Broadcasting--8.1%
Allbritton Communications Co. 11 1/2%, due 8/15/2004    1,500,000      1,503,750
Chancellor Communications Corp. 12 1/2%,
   due 10/1/2004 ..................................     1,000,000        985,000
SFX Broadcasting, Inc. 11 3/8%, due 10/1/2000 .....     1,500,000      1,492,500
Young Broadcasting, Inc. 11 3/4%, due 11/15/2004 ..     1,500,000      1,522,500
                                                                     -----------
                                                                       5,503,750
                                                                     -----------
Building Materials--1.4%
Associated Materials, Inc. 11 1/2%, due 8/15/2003 .     1,000,000        945,000
                                                                     -----------
Cable Systems--6.6%
Cablevision Systems, Inc. 10 3/4%, due 4/1/2004 ...     1,500,000      1,507,500
Comcast Corp. 10 5/8%, due 7/15/2012 ..............     1,500,000      1,473,750
Continental Cablevision, Inc. 11%, due 6/1/2007 ...     1,500,000      1,530,000
                                                                     -----------
                                                                       4,511,250
                                                                     -----------
Cellular--1.0%
Pricellular Corp. 0%/14%, due 11/15/2001 ..........     1,000,000        662,500
                                                                     -----------
Chemicals--2.0%
Arcadian Partners L.P. 10 1/4%, due 5/1/2005 ......     1,500,000      1,402,500
                                                                     -----------


- ----------
See notes to financial statements.

                                                                               7
<PAGE>
================================================================================
Portfolios of Investments (continued)
- --------------------------------------------------------------------------------


HIGH-YIELD BOND SERIES (continued)

                                                       Principal
                                                        Amount          Value
                                                       ---------     -----------
Container--2.3%
Silgan Corp. 11 3/4%, due 6/15/2002 ...............   $ 1,500,000    $ 1,552,500
                                                                     -----------
Environmental Services--2.1%
Allied Waste Industries 10 3/4%, due 2/1/2004 .....     1,500,000      1,402,500
                                                                     -----------
Financial Services--4.0%
Bell & Howell Co. 10 3/4%, due 10/1/2002 ..........     1,500,000      1,417,500
Comdata Network, Inc. 13 1/4%, due 12/15/2002 .....     1,250,000      1,350,000
                                                                     -----------
                                                                       2,767,500
                                                                     -----------
Food Products--2.8%
Pilgrim's Pride Corp. 10 7/8%, due 8/1/2003 .......     2,000,000      1,900,000
                                                                     -----------
Food Wholesale--2.1%
Di Giorgio Corp. 12%, due 2/15/2003 ...............     1,500,000      1,410,000
                                                                     -----------
Gaming/Hotel--10.5%
Aztar Corp. 133/4%, due 10/1/2004 .................     2,500,000      2,537,500
Casino America, Inc. 11 1/2%, due 11/15/2001 ......     1,500,000      1,275,000
Showboat, Inc. 9 1/4%, due 5/1/2008 ...............     1,000,000        850,000
Showboat, Inc. 13%, due 8/1/2009 ..................     1,000,000        960,000
Trump Plaza Funding, Inc. 10 7/8%, due 6/15/2001 ..     2,000,000      1,530,000
                                                                     -----------
                                                                       7,152,500
                                                                     -----------
Health Care--7.5%
Dade International 13%, due 2/1/2005* .............     1,500,000      1,511,250
Hillhaven Corp. 10 1/8%, due 9/1/2001 .............     1,000,000      1,002,500
OrNda HealthCorp 12 1/4%, due 5/15/2002 ...........     1,500,000      1,597,500
OrNda HealthCorp 11 3/8%, due 8/15/2004 ...........     1,000,000      1,040,000
                                                                     -----------
                                                                       5,151,250
                                                                     -----------
Home Building and Land Development--2.1%
Continental Homes Holding Corp. 12%, due 8/1/1999 .     1,500,000      1,462,500
                                                                     -----------
Leisure--3.5%
Icon Health & Fitness, Inc. 13%, due 7/15/2002* ...     1,000,000        980,000
Roadmaster Industries 11 3/4%, due 7/15/2002 ......     1,500,000      1,408,125
                                                                     -----------
                                                                       2,388,125
                                                                     -----------
Manufacturing--5.1%
Applied Extrusion Technologies 11 1/2%, due 4/1/2002    1,500,000      1,492,500
IMO Industries 12%, due 11/1/2001 .................     2,000,000      2,010,000
                                                                     -----------
                                                                       3,502,500
                                                                     -----------
Motion Pictures--1.5%
Act III Theatres, Inc. 11 7/8%, due 2/1/2003 ......     1,000,000      1,040,000
                                                                     -----------


- ----------
* Rule 144A security.
See notes to financial statements.

8
<PAGE>
================================================================================
                                                               December 31, 1994
- --------------------------------------------------------------------------------


HIGH-YIELD BOND SERIES (continued)


                                                       Principal
                                                        Amount          Value
                                                       ---------     -----------
Paper and Packaging--9.9%
Crown Packaging Ltd. 10 3/4%, due 11/1/2000 .......   $ 1,500,000    $ 1,455,000
Gaylord Container 0%/12 3/4%, due 5/15/2005 .......     2,000,000      1,775,000
Stone Container 10 3/4%, due 10/1/2002 ............     1,500,000      1,500,000
Stone Container 11 1/2%, due 10/1/2004 ............     1,000,000      1,005,000
Warren (S.D.) Co. 12%, due 12/15/2004* ............     1,000,000      1,022,500
                                                                     -----------
                                                                       6,757,500
                                                                     -----------
Publishing--5.2%
Affinity Group, Inc. 11 1/2%, due 10/15/2003 ......     1,000,000        960,000
American Media Operations, Inc. 11 5/8%,
   due 11/15/2004 .................................     1,000,000      1,025,000
Marvel Holdings, Inc. 0%/11 1/4%, due 4/15/1998 ...     2,500,000      1,550,000
                                                                     -----------
                                                                       3,535,000
                                                                     -----------
Restaurants--2.1%
Flagstar Corp. 10 3/4%, due 9/15/2001 .............     1,500,000      1,406,250
                                                                     -----------
Retailing--2.1%
Finlay Fine Jewelry Corp. 10 5/8%, due 5/1/2003 ...     1,500,000      1,421,250
                                                                     -----------
Supermarkets--3.7%
Mayfair Supermarkets, Inc. 11 3/4%, due 3/30/2003 .     1,500,000      1,252,500
Pathmark Stores, Inc. 0%/10 1/4%, due 11/1/2003 ...     2,500,000      1,287,500
                                                                     -----------
                                                                       2,540,000
                                                                     -----------
Total Corporate Bonds (Cost $62,795,477) ..........                   61,427,500
                                                                     -----------
Convertible Bonds--2.6% (Cost $1,710,000)
Computers and Related Services--2.6%
EMC Corp. 4 1/4%, due 1/1/2001 ....................     1,500,000      1,816,875
                                                                     -----------
Short-Term Holdings--5.0% (Cost $3,395,000)
Bank of Nova Scotia, Grand Cayman, Fixed Time
   Deposit, 5 1/2%, due 1/3/1995 ..................     3,395,000      3,395,000
                                                                     -----------

Total Investments--97.6% (Cost $67,900,477) .......                   66,639,375

Other Assets Less Liabilities--2.4% ...............                    1,642,709
                                                                     -----------
Net Assets--100.0% ................................                  $68,282,084
                                                                     ===========

- ----------
*Rule 144A security.
See notes to financial statements.
                                                                               9
<PAGE>
<TABLE>
<CAPTION>
===================================================================================================================================
Statements of Assets and Liabilities                                                                              December 31, 1994
- -----------------------------------------------------------------------------------------------------------------------------------

                                                                                        U.S. Government                 High-Yield
                                                                                      Securities Series                Bond Series
                                                                                      -----------------                -----------
<S>                                                                                      <C>                           <C>         
Assets:
Investments, at value (see portfolios of investments):
   Long-term holdings ..........................................................         $ 57,514,055                  $ 63,244,375
   Short-term holdings .........................................................            2,085,000                     3,395,000
                                                                                         ------------                  ------------
                                                                                           59,599,055                    66,639,375

Cash ...........................................................................               62,808                        55,869
Interest receivable ............................................................            1,388,349                     1,613,095
Receivable for Shares of Beneficial Interest sold ..............................              115,075                       544,049
Expenses prepaid to shareholder service agent ..................................               21,513                        27,249
Other ..........................................................................                2,323                         8,984
                                                                                         ------------                  ------------
Total Assets ...................................................................           61,189,123                    68,888,621
                                                                                         ------------                  ------------

Liabilities:

Payable for Shares of Beneficial Interest repurchased ..........................              151,729                       257,766
Dividends payable ..............................................................              146,018                       252,725
Accrued expenses, taxes, and other .............................................              115,235                        96,046
                                                                                         ------------                  ------------
Total Liabilities ..............................................................              412,982                       606,537
                                                                                         ------------                  ------------
Net Assets .....................................................................         $ 60,776,141                  $ 68,282,084
                                                                                         ============                  ============

Composition of Net Assets:

Shares of Beneficial  Interest,  at par (unlimited shares authorized;  $.001 par
   value; 9,396,187 and 10,752,623 shares outstanding):
   Class A .....................................................................         $      8,461                  $      9,297
   Class D .....................................................................                  935                         1,456
Additional paid-in capital .....................................................           88,793,725                    82,882,733
Accumulated net realized loss ..................................................          (27,560,722)                  (13,350,300)
Net unrealized depreciation of investments .....................................             (466,258)                   (1,261,102)
                                                                                         ------------                  ------------
Net Assets .....................................................................         $ 60,776,141                  $ 68,282,084
                                                                                         ============                  ============

Net Assets:

Class A ........................................................................         $ 54,713,957                  $ 59,032,776
Class D ........................................................................         $  6,062,184                  $  9,249,308
Shares of Beneficial Interest outstanding:

Class A ........................................................................            8,460,817                     9,297,066
Class D ........................................................................              935,370                     1,455,557
Net Asset Value per share:

Class A ........................................................................                $6.47                         $6.35
                                                                                                =====                         =====
Class D ........................................................................                $6.48                         $6.35
                                                                                                =====                         =====
</TABLE>

See notes to financial statements.

10
<PAGE>
<TABLE>
<CAPTION>
===================================================================================================================================
Statements of Operations                                                                       For the year ended December 31, 1994
- -----------------------------------------------------------------------------------------------------------------------------------


                                                                                             U.S. Government            High-Yield
                                                                                           Securities Series           Bond Series
                                                                                           -----------------           -----------
<S>                                                                                            <C>                      <C>        
Investment Income:
Interest .........................................................................             $ 5,138,684              $ 7,160,270
                                                                                               -----------              -----------


Expenses:

Management fees ..................................................................                 338,362                  329,652
Distribution and service fees ....................................................                 174,946                  176,546
Shareholder account services .....................................................                 128,293                  158,110
Registration .....................................................................                  58,515                   58,469
Auditing and legal fees ..........................................................                  42,226                   43,192
Custody and related services .....................................................                  28,349                   17,798
Trustees' fees and expenses ......................................................                  14,419                   13,940
Shareholder reports and communications ...........................................                   5,591                    8,059
Miscellaneous ....................................................................                  19,512                    9,900
                                                                                               -----------              -----------
Total expenses ...................................................................                 810,213                  815,666
                                                                                               -----------              -----------
Net investment income ............................................................               4,328,471                6,344,604
                                                                                               -----------              -----------
Net realized and unrealized gain (loss) on investments:

Net realized loss on investments .................................................              (8,470,786)              (2,208,378)
Net change in unrealized appreciation/depreciation
  of investments .................................................................               1,282,482               (3,676,736)
                                                                                               -----------              -----------
Net loss on investments ..........................................................              (7,188,304)              (5,885,114)
                                                                                               -----------              -----------
Increase (decrease) in net assets from operations ................................             $(2,859,833)             $   459,490
                                                                                               ===========              ===========


</TABLE>

- ----------------
See notes to financial statements.


                                                                              11
<PAGE>
<TABLE>
<CAPTION>
===================================================================================================================================
Statements of Changes in Net Assets
- -----------------------------------------------------------------------------------------------------------------------------------



                                                                         U.S. Government                     High-Yield Bond
                                                                       Securities Series                         Series
                                                                      Year Ended December 31             Year Ended December 31
                                                                 ------------------------------      ------------------------------
                                                                      1994             1993              1994              1993
                                                                 ------------      ------------      ------------      ------------
<S>                                                              <C>               <C>               <C>               <C>         
Operations:
Net investment income ......................................     $  4,328,471      $  4,272,919      $  6,344,604      $  4,869,514
Net realized gain (loss) on investments ....................       (8,470,786)        2,657,296        (2,208,378)        2,662,860
Net change in unrealized appreciation/depre-
  ciation of investments ...................................        1,282,482        (2,848,730)       (3,676,736)        1,013,074
                                                                 ------------      ------------      ------------      ------------
Increase (decrease) in net assets from operations ..........       (2,859,833)        4,081,485           459,490         8,545,448
                                                                 ------------      ------------      ------------      ------------
Distributions to shareholders:
Net investment income:
  Class A ..................................................       (4,008,490)       (4,256,437)       (5,767,970)       (4,848,219)
  Class D ..................................................         (319,981)          (16,482)         (576,634)          (21,295)
                                                                 ------------      ------------      ------------      ------------
Decrease in net assets from distributions ..................       (4,328,471)       (4,272,919)       (6,344,604)       (4,869,514)
                                                                 ------------      ------------      ------------      ------------
Transactions  in shares  of  beneficial  interest:*
Net  proceeds  from sale of shares:
  Class A ..................................................        4,137,872         7,502,107        11,688,898        19,348,362
  Class D ..................................................        6,115,820         2,419,886         8,015,004         2,338,480
Net proceeds from transfer of
  Secured Mortgage Income Series-Class A ...................             --          14,239,034              --                --
Net asset value of shares issued in payment
    of dividends:
  Class A ..................................................        1,780,986         1,958,778         2,261,113         2,130,339
  Class D ..................................................          217,588             4,906           302,588             8,193
Exchanged from associated Funds:
  Class A ..................................................          933,673         2,667,271         6,483,870         4,487,520
  Class D ..................................................          677,329            29,766         1,164,394            18,106
                                                                 ------------      ------------      ------------      ------------
Total ......................................................       13,863,268        28,821,748        29,915,867        28,331,000
                                                                 ------------      ------------      ------------      ------------
Cost of shares repurchased:
  Class A ..................................................      (12,487,426)       (9,903,241)      (11,886,183)       (7,437,727)
  Class D ..................................................       (1,068,325)          (59,119)       (1,040,965)             --
Exchanged into associated Funds:
  Class A ..................................................       (2,888,033)       (2,230,375)       (5,594,008)       (1,653,137)
  Class D ..................................................       (1,577,342)          (46,890)         (935,241)          (10,667)
                                                                 ------------      ------------      ------------      ------------
Total ......................................................      (18,021,126)      (12,239,625)      (19,456,397)       (9,101,531)
                                                                 ------------      ------------      ------------      ------------
Increase (decrease) in net assets from trans-
  actions in shares of beneficial interest .................       (4,157,858)       16,582,123        10,459,470        19,229,469
                                                                 ------------      ------------      ------------      ------------
Increase (decrease) in net assets ..........................      (11,346,162)       16,390,689         4,574,356        22,905,403
Net Assets:

Beginning of year ..........................................       72,122,303        55,731,614        63,707,728        40,802,325
                                                                 ------------      ------------      ------------      ------------
End of year ................................................     $ 60,776,141      $ 72,122,303      $ 68,282,084      $ 63,707,728
                                                                 ============      ============      ============      ============
</TABLE>



- ----------------
*The Fund began  offering  Class D shares on September  21,  1993.  
See notes to financial statements.
12
<PAGE>
================================================================================
Notes to Financial Statements
- --------------------------------------------------------------------------------


1. Seligman High Income Fund Series (the "Fund") consists of two separate series
(collectively the "Series"): the "U.S. Government Securities Series" and the
"High-Yield Bond Series." Effective September 21, 1993, the Fund began offering
two classes of shares for each Series. All shares existing prior to September
21, 1993, have been classified as Class A shares. Class A shares are sold with
an initial sales charge of up to 4.75% and a continuing service fee of up to
0.25% on an annual basis. Class D shares are sold without an initial sales
charge but are subject to a higher distribution fee and a contingent deferred
sales load ("CDSL") of 1% imposed on certain redemptions made within one year of
purchase. The two classes of shares represent interests in the same portfolio of
investments, have the same rights and are generally identical in all respects
except that each class bears its separate distribution and certain class
expenses and has exclusive voting rights with respect to any matter to which a
separate vote of any class is required. 

2. Significant accounting policies followed, all in conformity with
generally accepted accounting principles, are given below:

a.   All U.S. Government and Government agency securities and bonds are valued
     at current market values or, in their absence, at fair value determined in
     accordance with procedures approved by the trustees. Securities traded on
     national exchanges are valued at last sales prices or, in their absence and
     in the case of over-the-counter securities, based on valuations provided by
     an independent pricing service approved by the trustees. Short-term
     holdings maturing in 60 days or less are valued at amortized cost.

b.   There is no provision for federal income or excise tax. Each Series has
     elected to be taxed as a regulated investment company and intends to
     distribute substantially all taxable net income and net gain realized.
     Dividends are declared daily and paid monthly.

c.   Investment transactions are recorded on trade dates. Identified cost of
     investments sold is used for both financial statement and federal income
     tax purposes. Interest income is recorded on the accrual basis. Each Series
     accretes original issue discounts and market discounts on purchases of
     portfolio securities.

d.   All income, expenses (other than class-specific expenses), and realized and
     unrealized gains or losses are allocated daily to each class of shares
     based upon the relative proportion of the value of settled shares
     outstanding of each class. Class-specific expenses, which include
     distribution and service fees and any other items that can be specifically
     attributed to a particular class, are charged directly to such class.

e.   The treatment for financial statement purposes of distributions made during
     the year from net investment income or net realized gains may differ from
     their ultimate treatment for federal income tax purposes. These differences
     are caused primarily by differences in the timing of the recognition of
     certain components of income, expense, or capital gain for federal income
     tax purposes. Where such differences are permanent in nature, they are
     reclassified in the components of net assets based on their ultimate
     characterization for federal income tax purposes. Any such
     reclasssification will have no effect on net assets, results of operations,
     or net asset value per share of the Fund.

3. Purchases and sales of portfolio securities, excluding short-term
investments, for the year ended December 31, 1994, were as follows:

Series                                          Purchases               Sales
- --------------------------------------------------------------------------------
U.S. Government
   Securities                                 $293,960,475          $299,893,486
High-Yield Bond                                123,730,644           114,642,687


  At December 31, 1994, the cost of investments for federal income tax purposes
was substantially the same as the cost for financial reporting purposes, and the
tax basis gross unrealized appreciation and depreciation of portfolio securities
were as follows:

                                                    Total               Total
                                                 Unrealized          Unrealized
Series                                          Appreciation        Depreciation
- --------------------------------------------------------------------------------
U.S. Government
   Securities                                      $134,374           $  600,632
High-Yield Bond                                     636,070            1,897,172

4. J. & W. Seligman & Co. Incorporated (the "Manager") manages the affairs of
the Fund and provides the necessary personnel and facilities. Compensation of
all officers of the Fund, all trustees of the Fund who are employees or

                                                                              13
<PAGE>
================================================================================
Notes to Financial Statements (continued)
- --------------------------------------------------------------------------------




consultants of the Manager, and all personnel of the Fund and the Manager is
paid by the Manager. The Manager's fee is calculated daily and payable monthly,
equal to 0.50% per annum of each Series' average daily net assets.

  Seligman Financial Services, Inc. (the "Distributor"), agent for the
distribution of each Series' shares, received the following commissions after
concessions were paid to dealers for sale of Class A shares:

                                                     Seligman
                                                Financial Services'    Dealer
Series                                              Commissions      Concessions
- --------------------------------------------------------------------------------
U.S. Government
   Securities                                        $ 8,580           $ 61,645
High-Yield Bond                                       45,213            353,427

  The Fund has an Administration, Shareholder Services and Distribution Plan
(the "Plan") with respect to Class A shares under which service organizations
can enter into agreements with the Distributor and receive a continuing fee of
up to 0.25% on an annual basis, payable quarterly, of the average daily net
assets of the Class A shares attributable to the particular service organization
for providing personal services and/or the maintenance of shareholder accounts.
The Distributor charges such fees to the Fund pursuant to the Plan. For the year
ended December 31, 1994, such fees paid by the U.S. Government Securities Series
and the High-Yield Bond Series aggregated $115,296 and $109,232, or 0.22% and
0.21% per annum, respectively, of average daily net assets of Class A shares.

     Effective September 21, 1993, the Fund adopted a Plan with respect to Class
D shares under which service  organizations  can enter into  agreements with the
Distributor and receive a continuing fee for providing  personal services and/or
the maintenance of shareholder accounts of up to 0.25% on an annual basis of the
  average daily net assets of the Class D shares for which the organizations are
responsible, and fees for providing other distribution assistance of up to 0.75%
on an annual basis of such average daily net assets. Such fees are paid monthly
by the Fund to the Distributor pursuant to the Plan. For the year ended December
31, 1994, fees paid by the U.S. Government Securities Series and the High-Yield
Bond Series aggregated $59,650 and $67,314, respectively, or 1% per annum of the
average daily net assets of Class D shares. 

  The Distributor is entitled to retain any CDSL imposed on certain redemptions
occurring within one year of purchase. For the year ended December 31, 1994,
such charges imposed were $8,280 for the U.S. Government Securities Series and
$8,610 for the High-Yield Bond Series.

  Seligman Data Corp., which is owned by certain associated investment
companies, charged at cost for shareholder account services the following
amounts: U.S. Government Securities Series $128,293 and High-Yield Bond Series
$158,110.

  Certain officers and trustees of the Fund are officers or directors of the
Manager, the Distributor, and/or Seligman Data Corp.

  Fees of $18,000 were incurred by the Fund for legal services of Sullivan &
Cromwell, a member of which firm is a trustee of the Fund.

  The Fund has a compensation agreement under which trustees who receive fees
may elect to defer receiving such fees. Interest is accrued on the deferred
balances. The annual cost of such fees and interest is included in trustees'
fees and expenses, and the accumulated balances thereof at December 31, 1994, of
$33,419 in the U.S. Government Securities Series and $18,812 in the High-Yield
Bond Series are included in other liabilities. Deferred fees and the related
accrued interest are not deductible for federal income tax purposes until such
amounts are paid.

5. Class-specific expenses charged to Class A and Class D during the year ended
December 31, 1994, which are included in the corresponding captions of the
Statements of Operations, were as follows:


                                  U.S. Government           High-Yield
                                 Securities Series          Bond Series
                               --------------------     --------------------
                               Class A      Class D     Class A      Class D
                               -------      -------     -------      -------
Distribution and
  service fees                  $115,296     $59,650    $109,232      $67,314
Registration                      21,946      20,340      21,843       17,749
Shareholder reports
  and communications               2,550          73       2,256          261


                                                                              14
<PAGE>
================================================================================

- --------------------------------------------------------------------------------



6. In accordance with current federal income tax law, the net realized capital
gains and losses of each Series are considered separately for purposes of
determining taxable capital gains. At December 31, 1994, net capital loss
carryforwards for the U.S. Government Securities Series and the High-Yield Bond
Series amounted to $30,698,968 (including $3,138,246 transferred from the
Secured Mortgage Income Series) and $13,350,300, respectively, which are
available for offset against future taxable net capital gains, expiring in
various amounts through 2002.

  Accordingly, no capital gain distributions are expected to be paid to
shareholders of the respective Series until net capital gains have been realized
in excess of the available capital loss carryforwards.

7. Transactions in Shares of Beneficial Interest were as follows:


<TABLE>
<CAPTION>

                                                                        U.S. Government                       High-Yield Bond
                                                                      Securities Series                          Series
                                                                -----------------------------         -----------------------------
                                                                    Year Ended December 31                Year Ended December 31
                                                                -----------------------------         -----------------------------
                                                                   1994               1993               1994               1993
                                                                ----------         ----------         ----------         ----------
<S>                                                             <C>                <C>                <C>                <C>        
Sale of shares:
  Class A ..............................................           602,628          1,033,362          1,760,781          2,856,884
  Class D ..............................................           879,410            331,787          1,191,967            339,838
Class A shares issued in transfer of
  Secured Mortgage Income Series .......................              --            1,965,329               --                 --
Shares issued in payment of dividends:
  Class A ..............................................           262,571            269,033            341,325            315,616
  Class D ..............................................            32,428                679             46,166              1,185
Exchanged from associated Funds:
  Class A ..............................................           139,088            368,217            986,393            662,388
  Class D ..............................................            99,435              4,121            177,753              2,622
                                                                ----------         ----------         ----------         ----------
Total ..................................................         2,015,560          3,972,528          4,504,385          4,178,533
                                                                ----------         ----------         ----------         ----------
Shares repurchased:
  Class A ..............................................        (1,835,575)        (1,363,719)        (1,793,114)        (1,100,482)
  Class D ..............................................          (159,362)            (8,177)          (161,121)              --
Exchanged into associated Funds:
  Class A ..............................................          (426,650)          (306,327)          (840,972)          (244,261)
  Class D ..............................................          (238,485)            (6,466)          (141,316)            (1,537)
                                                                ----------         ----------         ----------         ----------
Total ..................................................        (2,660,072)        (1,684,689)        (2,936,523)        (1,346,280)
                                                                ----------         ----------         ----------         ----------
Increase (decrease) in shares ..........................          (644,512)         2,287,839          1,567,862          2,832,253
                                                                ==========         ==========         ==========         ==========
</TABLE>
                                          

8. On November 3, 1993, shareholders of the Secured Mortgage Income Series
approved a transfer of its net assets to the U.S. Government Securities Series
in a tax-free exchange, whereby 1,965,329 shares of the U.S. Government
Securities Series valued at $14,239,034 were exchanged for the net assets of the
Secured Mortgage Income Series. For each share of beneficial interest owned,
shareholders of the Secured Mortgage Income Series received .9061 of a share of
beneficial interest of the U.S. Government Securities Series.

                                                                              15
<PAGE>

================================================================================
Financial Highlights
- --------------------------------------------------------------------------------


The financial highlights for each Series are presented below. The per share
operating performance data is designed to allow investors to trace the operating
performance, on a per share basis, from a Series' beginning net asset value to
the ending net asset value so that they can understand what effect the
individual items have on their investments, assuming they were held throughout
the period. Generally, the per share amounts are derived by converting the
actual dollar amounts incurred for each item, as disclosed in the financial
statements, to their equivalent per share amount.
<TABLE>
<CAPTION>
                                                                           U.S. Government Securities Series
                                                  -------------------------------------------------------------------------------
                                                                          Class A                                  Class D
                                                  ------------------------------------------------------     --------------------
                                                                 Year Ended December 31                        Year      9/21/93*
                                                  ------------------------------------------------------       Ended        to
                                                    1994        1993        1992       1991       1990       12/31/94    12/31/93
                                                  -------     -------     -------     ------     -------     --------    --------
<S>                                               <C>         <C>         <C>         <C>        <C>         <C>         <C>    
Per Share Operating Performance:
Net asset value, beginning
   of period ..................................   $  7.18     $  7.19     $  7.30     $ 6.89     $  7.04     $  7.20     $  7.33
                                                  -------     -------     -------     ------     -------     -------     -------
Net investment income .........................       .44         .53         .51        .51         .59         .37         .09
Net realized and unrealized
   investment gain (loss) .....................      (.71)       (.01)       (.11)       .41        (.15)       (.72)       (.13)
                                                  -------     -------     -------     ------     -------     -------     -------
Increase (decrease) from
   investment operations ......................      (.27)        .52         .40        .92         .44        (.35)       (.04)
Dividends paid or declared ....................      (.44)       (.53)       (.51)      (.51)       (.59)       (.37)       (.09)
                                                  -------     -------     -------     ------     -------     -------     -------
Net increase (decrease) in
   net asset value ............................      (.71)       (.01)       (.11)       .41        (.15)       (.72)       (.13)
                                                  -------     -------     -------     ------     -------     -------     -------
Net asset value, end of period ................   $  6.47     $  7.18     $  7.19     $ 7.30     $  6.89     $  6.48     $  7.20
                                                  =======     =======     =======     ======     =======     =======     =======
Total return based on
   net asset value ............................     (3.88)%      7.46%       5.78%     14.05%       6.37%      (5.05)%      (.65)%
Ratios/Supplemental Data:
Expenses to average net assets ................      1.10%       1.11%       1.05%      1.10%       1.06%       2.22%       2.09%+
Net investment income
   to average net assets ......................      6.49%       7.22%       7.17%      7.39%       8.66%       5.40%       5.28%+
Portfolio turnover ............................    445.18%     170.35%     126.17%     95.46%     306.05%     445.18%     170.35%++
Net assets, end of period
   (000's omitted) ............................   $54,714     $69,805     $55,732    $64,440     $71,735     $ 6,062     $ 2,317

</TABLE>

- ----------------
  * Commencement of offering of Class D shares.
  + Annualized.
 ++ For the year ended December 31, 1993.
See notes to financial statements.

16
<PAGE>
================================================================================
 
- --------------------------------------------------------------------------------



  The total returns based on net asset value measure a Series' performance
assuming investors purchased shares at net asset value as of the beginning of
the period, reinvested dividends and capital gains paid at net asset value, and
then sold their shares at the net asset value per share on the last day of the
period. The total return computations do not reflect any sales charges investors
may incur in purchasing shares of any Series. Total returns for periods of less
than one year are not annualized.
<TABLE>
<CAPTION>
                                                                                High-Yield Bond Series
                                                 --------------------------------------------------------------------------------
                                                                          Class A                                  Class D
                                                 -------------------------------------------------------     --------------------
                                                                 Year  Ended December 31                       Year      9/21/93*
                                                 -------------------------------------------------------       Ended        to
                                                   1994        1993        1992        1991       1990       12/31/94    12/31/93
                                                 -------     -------     -------     -------     -------     --------    --------
<S>                                              <C>         <C>         <C>         <C>         <C>         <C>         <C>    
Per Share Operating Performance:
Net asset value, beginning
   of period .................................   $  6.94     $  6.42     $  5.96     $  5.21     $  6.40     $  6.94     $  6.74
                                                 -------     -------     -------     -------     -------     -------     -------
Net investment income ........................       .65         .66         .69         .77         .78         .57         .12
Net realized and unrealized
   investment gain (loss) ....................      (.59)        .52         .46         .75       (1.19)       (.59)        .20
                                                 -------     -------     -------     -------     -------     -------     -------
Increase (decrease) from
   investment operations .....................       .06        1.18        1.15        1.52        (.41)       (.02)        .32
Dividends paid or declared ...................      (.65)       (.66)       (.69)       (.77)       (.78)       (.57)       (.12)
                                                 -------     -------     -------     -------     -------     -------     -------
Net increase (decrease) in
   net asset value ...........................      (.59)        .52         .46         .75       (1.19)       (.59)        .20
                                                 -------     -------     -------     -------     -------     -------     -------
Net asset value, end of period ...............   $  6.35     $  6.94     $  6.42     $  5.96     $  5.21     $  6.35     $  6.94
                                                 =======     =======     =======     =======     =======     =======     =======
Total return based on
   net asset value ...........................      0.78%      19.19%      20.08%      30.70%      (7.27)%      (.30)%      4.53%
Ratios/Supplemental Data:
Expenses to average net assets ...............      1.13%       1.20%       1.21%       1.29%       1.21%       2.19%       2.04%+
Net investment income
   to average net assets .....................      9.73%       9.68%      10.82%      13.36%      13.40%       8.68%       7.93%+
   Portfolio turnover ........................    184.75%     193.91%     145.66%     181.08%     117.51%     184.75%     193.91%++
Net assets, end of period
   (000's omitted) ...........................   $59,033     $61,333     $40,802     $32,287     $27,558     $ 9,249     $ 2,375
</TABLE>

- ----------------

  * Commencement of offering of Class D shares.
  + Annualized.
 ++  For the year ended December 31, 1993.
See notes to financial statements.

                                                                              17
<PAGE>
================================================================================
Report of Independent Auditors
- --------------------------------------------------------------------------------


The Trustees and Shareholders,
Seligman High Income Fund Series:

We have audited the accompanying statements of assets and liabilities, including
the portfolios of investments, of the U.S. Government Securities Series and the
High-Yield Bond Series of Seligman High Income Fund Series as of December 31,
1994, the related statements of operations for the year then ended and of
changes in net assets for each of the years in the two-year period then ended,
and the financial highlights for each of the periods presented. These financial
statements and the financial highlights are the responsibility of the Fund's
management. Our responsibility is to express an opinion on these financial
statements and financial highlights based on our audits.

We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of securities owned as of
December 31, 1994 by correspondence with the Fund's custodian. An audit also
includes assessing the accounting principles used and significant estimates made
by management, as well as evaluating the overall financial statement
presentation. We believe that our audits provide a reasonable basis for our
opinion.

In our opinion, such financial statements and financial highlights present
fairly, in all material respects, the financial position of the U.S. Government
Securities Series and the High-Yield Bond Series of Seligman High Income Fund
Series as of December 31, 1994, the results of their operations, the changes in
their net assets, and the financial highlights for the respective stated
periods, in conformity with generally accepted accounting principles.
 

DELOITTE & TOUCHE LLP
New York, New York
February 3, 1995



18
<PAGE>
================================================================================
Trustees
- --------------------------------------------------------------------------------


Fred E. Brown
Director and Consultant,
   J. & W. Seligman & Co. Incorporated

Alice S. Ilchman 3
President, Sarah Lawrence College
Trustee, Committee for Economic Development
Director, NYNEX
Trustee, The Rockefeller Foundation

John E. Merow
Partner, Sullivan & Cromwell, Attorneys

Betsy S. Michel 2
Director or Trustee,
   Various Organizations

William C. Morris 1
Chairman
Chairman of the Board and President,
   J. & W. Seligman & Co. Incorporated
Chairman, Carbo Ceramics Inc.
Director, Daniel Industries, Inc.
Director, Kerr-McGee Corporation

Douglas R. Nichols, Jr. 2
Management Consultant

James C. Pitney 3
Partner, Pitney, Hardin, Kipp & Szuch, Attorneys
Director, Public Service Enterprise Group

James Q. Riordan 3
Director, The Brooklyn Union Gas Company
Trustee, Committee for Economic Development
Director, Dow Jones & Co., Inc.
Director, Public Broadcasting Service

Herman J. Schmidt 2
Director, H.J. Heinz Company
Director, HON Industries, Inc.
Director, MAPCO, Inc.

Ronald T. Schroeder 1
President
Managing Director,
   J. & W. Seligman & Co. Incorporated

Robert L. Shafer 3
Vice President, Pfizer Inc.
Director, USLIFE Corporation

James N. Whitson 2
Executive Vice President and Director,
   Sammons Enterprises, Inc.
Director, C-SPAN

Brian T. Zino 1
Managing Director,
   J. & W. Seligman & Co. Incorporated



- ----------
Member: 1 Executive Committee; 2 Audit Committee; 3 Trustee Nominating 
        Committee.


- --------------------------------------------------------------------------------
Executive Officers

William C. Morris             Leonard J. Lovito           Frank J. Nasta
Chairman                      Vice President              Secretary
                                                                         
Ronald T. Schroeder           Lawrence P. Vogel               
President                     Vice President   

Daniel J. Charleston          Thomas G. Rose   
Vice President                Treasurer 




- --------------------------------------------------------------------------------

Manager
J. & W. Seligman & Co. Incorporated
100 Park Avenue
New York, NY 10017

General Counsel
Sullivan & Cromwell

Independent Auditors
Deloitte & Touche LLP

General Distributor
Seligman Financial Services, Inc.
100 Park Avenue
New York, NY 10017

Shareholder Service Agent
Seligman Data Corp.
100 Park Avenue
New York, NY 10017

Important Telephone Numbers
(800) 221-2450  Shareholder Services

(800) 445-1777  Retirement Plan
                Services

(800) 622-4597  24-Hour Automated
                Telephone Access
                Service

                                                                              19
<PAGE>

                        Seligman Financial Services, Inc.

                                 an affiliate of

                                      J&WS

                             J. & W. Seligman & Co.

                                  INCORPORATED

                                ESTABLISHED 1864

                       100 Park Avenue, New York, NY 10017

This report is intended only for the information of shareholders or those who
have received the offering prospectus covering shares of beneficial interest of
Seligman High Income Fund Series, which contains information about the sales
charges, management fees, and other costs. Please read the prospectus carefully
before investing or sending money.

                                                                       TX2 12/94





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