SELIGMAN NEW JERSEY MUNICIPAL FUND INC
N-30D, 1998-12-04
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<PAGE>
To the Shareholders

Seligman New Jersey  Municipal  Fund posted  strong  results for its fiscal year
ended September 30, 1998.  Although the growth of the US economy slowed from its
record pace, the expansion continued. Inflation and interest rates reached their
lowest levels in a quarter  century,  and  unemployment  was at its lowest level
since 1970.

Despite ongoing strength in the US, economic turmoil spread  throughout the rest
of the world. The Asian financial  crisis worsened,  Japan failed to resolve its
banking  problems,  Russia's economy became chaotic,  and economic crises loomed
throughout  much of Latin  America,  particularly  in  Brazil.  Fears of risk in
nearly all types of financial  assets drove  investors out of the equity markets
and into the  relative  safety and  quality of  investments  such as US Treasury
bonds,  often a haven from a turbulent  stock  market.  This "flight to quality"
helped create an attractive environment for municipal bonds.

Major factors  influencing the market for municipal bonds over the year were the
prolonged  Treasury  bond  rally and heavy  issuance  of  municipal  securities.
Municipal bond holders fared well as interest rates generally declined over this
time period. Nonetheless, the performance of the municipal market lagged that of
the Treasury bond market,  as investors  focused on quality  because of concerns
about financial instability. Treasury bond prices rose sharply over the 12-month
period, sending yields significantly lower. At one point in the period, selected
municipal  obligations  traded  at the same  yield as  Treasuries,  even  though
municipals offered more favorable tax treatment.

Looking ahead, we see the favorable climate for municipal bonds continuing.  Low
inflation and a growing  economy  should serve to protect the value of municipal
investments.  Fewer new issues may be entering the market,  which could  tighten
the  supply/demand  balance.  This could improve  overall  total  rate-of-return
prospects.  Also,  although  the US economy  continues  to grow,  this growth is
slowing,  and the global  situation  is forcing the Federal  Reserve into a more
benign  strategy on interest  rates.  The Fed has already cut  short-term  rates
twice,  and we expect more cuts until a  semblance  of  international  stability
emerges.  Finally,  the municipal market's record of safety and stability offers
further appeal to investors in these more troubled  times,  especially as equity
market volatility continues.

All in  all,  we  feel  the  investment  attractiveness  of  municipals  remains
compelling.  In this  period of global  economic  uncertainty  and low  interest
rates,  municipals  are an  appropriate  alternative  for those  investors  with
suitable investment requirements.

As you may know,  companies are modifying  their  computer  systems to recognize
dates of January 1, 2000,  and  beyond.  This is often  referred to as the "Y2K"
problem.  Unless systems are updated,  many  applications may interpret the last
two  digits of the year to mean 1900  instead  of 2000.  J. & W.  Seligman & Co.
Incorporated,  the Seligman Investment Companies,  and Seligman Data Corp., your
shareholder  service agent, have jointly  established a team to ensure that your
investment and shareholder services are not disrupted. This team is supported by
consulting  firms  specializing  in Y2K  solutions.  Substantial  work  has been
performed to date,  and we are  confident  that when our plans are finalized and
all systems are tested,  there will be no disruption in the services provided by
your Fund.

Thank you for your continued  support of Seligman New Jersey  Municipal Fund. We
look  forward  to serving  your  investment  needs in the many years to come.  A
discussion  with  your  Portfolio  Manager,   performance  overview,   portfolio
holdings, and financial statements follow this letter.

By order of the Board of Directors,

/s/ William C. Morris
- ---------------------
William C. Morris
Chairman

                                                             /s/ Brian T. Zino
                                                             -----------------
                                                             Brian T. Zino
                                    President

October 30, 1998

                                         1

<PAGE>
Interview With Your Portfolio Manager,
Thomas G. Moles

Q.  What economic factors influenced Seligman New Jersey Municipal Fund in the
    last 12 months?

A.  The continuing  combination of low inflation,  low unemployment,  and steady
    economic growth  throughout the past 12 months  sustained what became one of
    the nation's longest peacetime economic expansions.  This contributed to the
    overall improvement of the financial condition of America's states,  cities,
    and municipalities. Over the past year, credit rating upgrades significantly
    outnumbered   rating   downgrades.   These  upgrades  enhanced  the  overall
    creditworthiness of the municipal marketplace.

    But, by the end of your Fund's fiscal year, there was widespread expectation
    that the US may be unable to avoid the  economic  slowdown  that has already
    gripped much of the world.  While many  economists  were calling a recession
    unlikely, the fact that they were including its potential in their forecasts
    implied that the ongoing domestic economic expansion would not continue.  In
    the final  months of the  fiscal  year,  turmoil in world  markets  began to
    contribute  to a modest  slowdown  in the pace of US  economic  growth,  and
    prevented  an  acceleration  in the rate of  inflation.  In  September,  the
    Federal  Reserve Board lowered the federal funds rate by  one-quarter of one
    percent.  With a warning that growing fear among  investors  and lenders was
    threatening  the  nation's  economic  expansion,  the Fed  unexpectedly  cut
    interest  rates  again in  October,  the first time in four and a half years
    that the central bank had changed  interest-rate  policy  outside one of its
    normally  scheduled  meetings.  This unusual  timing  suggested that the Fed
    believed  that the  domestic  economy is  beginning  to  deteriorate  as the
    worldwide financial crisis gains momentum, and that a credit shortage may be
    developing  that could further curb growth.  Fed officials  have hinted that
    more  interest-rate  reductions will ensue if the global  financial  turmoil
    escalates.  Declining US equity markets  reflected these fears, as investors
    sold  stocks in favor of the  relative  safety and  quality  of US  Treasury
    bonds, which are often considered a haven from a volatile stock market.

A TEAM APPROACH

Seligman New Jersey Municipal Fund is managed by the Seligman Municipals Team,
headed by Thomas G. Moles. Mr. Moles is assisted in the management of the Fund
by a group of seasoned professionals who are responsible for research and
trading consistent with the Fund's investment objective.

[PHOTO]
Seligman Municipals Team: (from left) Audrey Kuchtyak, Theresa Barion, Debra
McGuinness, (seated) Eileen Comerford, Thomas G. Moles (Portfolio Manager)

                                      2

<PAGE>
Interview With Your Portfolio Manager,
Thomas G. Moles

Q.  What market factors influenced Seligman New Jersey Municipal Fund in the
    last 12 months?

A.  Overall,  Seligman  New Jersey  Municipal  Fund  ended its fiscal  year on a
    positive note.  During the period,  long-term  municipal  yields  fluctuated
    within a  narrow  range,  decreasing  by  almost  one-half  of a point.  The
    declining interest-rate environment led to rising prices for the majority of
    holdings and competitive performance results for the Fund's net asset value.

    However,  the municipal market  underperformed the US Treasury market during
    the  12-month  period.  The ongoing  strength  in the economy  over the year
    caused the supply of Treasury  bonds to shrink,  as the  federal  government
    needed to borrow less after  running its first  budget  surplus in 29 years.
    But, the solid economy and low interest rates caused the supply of municipal
    bonds to grow.  The net reduction in Treasury  financing and the  increasing
    municipal bond issuance was compounded by the increased  investor demand for
    Treasuries.   These  factors  caused  the  decline  in  Treasury  yields  to
    significantly  outpace  the  drop in  municipal  yields.  Because  of  these
    factors, long-term municipal bonds have not been as attractive,  relative to
    long-term Treasuries,  since 1986, when proposed tax legislation  threatened
    the tax-exempt status of municipal securities.

Q.  What was your investment strategy?

A.  Throughout the 12-month period, the long-term interest-rate outlook was
    positive, and Seligman New Jersey Municipal Fund was positioned to benefit
    from the declining interest-rate environment. The Seligman Municipals Team
    engaged in duration-extension trades, selling shorter-term holdings and
    replacing them with long-term, current-coupon bonds. Current-coupon bonds
    have coupon rates that are at or near current market rates. Generally, when
    long-term bond yields decline, the prices appreciate more than those of
    shorter-term bonds.

    During the past 12  months,  we also  improved  the call  protection  of the
    portfolios.  As the  bonds  within  the  portfolio  mature,  older  holdings
    approach  their  optional call dates (a callable bond can be redeemed by the
    issuer, prior to maturity, on specified dates and at predetermined  prices).
    Declining  interest  rates increase the risk that these bonds will be called
    by the issuer. The lower interest-rate  environment over the 12-month period
    prompted many municipal issuers to retire  outstanding,  higher-coupon debt.
    Additionally,  as a direct result of the  significant  increase in refunding
    volume, many of the portfolio's holdings were advance-refunded,  which had a
    positive  impact  on  performance.  In  general,  when a  municipal  bond is
    refunded,  total return  performance  is improved,  and the bond's rating is
    often upgraded.

Q.  What is your outlook?

A.  Long-term municipal yields have fallen to levels not seen in many years.
    Municipal securities continue to offer a significant yield advantage
    compared to the after-tax returns of other fixed-income investments.
    Further, as the yield spread between municipal and Treasury bonds
    normalizes, municipal market performance should improve, relative to the
    Treasury market. Finally, the municipal market's record of safety and
    stability may become more appealing as volatility persists in the US equity
    markets. Consequently, we remain optimistic about the long-term prospects
    for the municipal bond market, and for Seligman New Jersey Municipal Fund.

                                        3

<PAGE>
Performance Overview and Portfolio Summary

    This chart compares a $10,000  hypothetical  investment made in Seligman New
Jersey  Municipal Fund Class A shares with and without the initial 4.75% maximum
sales  charge,  for the 10-year  period ended  September  30, 1998, to a $10,000
hypothetical investment made in the Lehman Brothers Municipal Bond Index (Lehman
Index) for the same period.  The  performance  of Seligman New Jersey  Municipal
Fund Class D shares is not shown in this chart but is  included  in the table on
page 5. It is  important  to keep in mind that the Lehman Index does not include
any  fees or sales  charges  and does not  reflect  state-specific  bond  market
performance.   The   table   on  page  5  also   includes   relevant   portfolio
characteristics.

         With Sales Charge    Without Sales Charge    Lehman Index

9/30/88        9,523                10,000               10,000
12/31/88       9,822                10,315               10,185
3/31/89        9,918                10,415               10,252
6/30/89       10,543                11,071               10,859
9/30/89       10,466                10,990               10,867
12/31/89      10,860                11,405               11,284
3/31/90       10,836                11,379               11,335
6/30/90       11,100                11,657               11,600
9/30/90       10,994                11,545               11,607
12/31/90      11,596                12,177               12,107
3/31/91        11836                12,429               12,381
6/30/91       12,082                12,688               12,645
9/30/91       12,530                13,158               13,136
12/31/91      12,876                13,521               13,578
3/31/92       12,858                13,502               13,619
6/30/92       13,431                14,104               14,136
9/30/92       13,745                14,434               14,511
12/31/92      14,033                14,736               14,775
3/31/93       14,574                15,305               15,323
6/30/93       15,145                15,904               15,824
9/30/93       15,672                16,457               16,359
12/31/93      15,769                16,560               16,588
3/31/94       14,881                15,627               15,677
6/30/94       14,968                15,718               15,851
9/30/94       15,006                15,758               15,959
12/31/94      14,799                15,541               15,729
3/31/95       15,802                16,594               16,841
6/30/95       16,114                16,922               17,247
9/30/95       16,472                17,298               17,744
12/31/95      17,102                17,960               18,475
3/31/96       16,806                17,649               18,251
6/30/96       16,979                17,830               18,392
9/30/96       17,356                18,226               18,815
12/31/96      17,684                18,570               19,295
3/31/97       17,588                18,470               19,250
6/30/97       18,149                19,059               19,914
9/30/97       18,737                19,676               20,516
12/31/97      19,263                20,229               21,072
3/31/98       19,457                20,432               21,314
6/30/98       19,785                20,777               21,638
9/30/98       20,398                21,421               22,302


    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 rates of
return  will  vary and the  principal  value of an  investment  will  fluctuate.
Shares,  if redeemed,  may be worth more or less than their original cost.  Past
performance is not indicative of future investment results.

                                        4

<PAGE>
Performance Overview and Portfolio Summary

INVESTMENT RESULTS PER SHARE

TOTAL RETURNS
For Periods Ended September 30, 1998
<TABLE>
<CAPTION>
                                                                             AVERAGE ANNUAL
                                                             ------------------------------------------------
                                                                                                    CLASS D
                                                                                                     SINCE
                                                  SIX         ONE          FIVE          10        INCEPTION
                                                MONTHS*      YEAR          YEARS        YEARS       2/1/94
                                              ---------     ------        -------      -------   ------------
<S>                                              <C>         <C>            <C>          <C>         <C>
CLASS A**
With Sales Charge                                (0.16)%       3.66%         4.39%        7.39%        n/a
Without Sales Charge                              4.84         8.87          5.41         7.92         n/a

CLASS D**
With 1% CDSC                                      3.27         6.97           n/a          n/a         n/a
Without CDSC                                      4.27         7.97           n/a          n/a        4.78%
LEHMAN INDEX***                                   4.64         8.71          6.40         8.35        6.29+
</TABLE>

<TABLE>
<CAPTION>
NET ASSET VALUE                                            DIVIDEND, CAPITAL GAIN, AND YIELD INFORMATION
                                                           For Periods Ended September 30, 1998

             9/30/98        3/31/98       9/30/97                     DIVIDENDS0      CAPITAL GAIN0      SEC YIELD00
            --------       --------      --------                     -----------     -------------      -----------
<S>            <C>           <C>           <C>             <C>           <C>              <C>               <C>
CLASS A        $7.78         $7.59         $7.56           CLASS A       $0.346           $0.081            3.73%
CLASS D         7.86          7.68          7.64           CLASS D        0.289            0.081            3.17
</TABLE>

<TABLE>
<CAPTION>
HOLDINGS BY MARKET SECTOR++                                MOODY'S/S&P RATINGS++
<S>                                <C>                     <C>                         <C>
Revenue Bonds                      81%                     Aaa/AAA                     53%
General Obligation Bonds           19                      Aa/AA                       18
                                                           A/A                         20
                                                           Baa/BBB                      9
</TABLE>

WEIGHTED AVERAGE MATURITY  24.2 years

- ------------------
  * Returns for periods of less than one year are not annualized.

 ** Return  figures  reflect  any change in price and  assume all  distributions
    within the period are  invested in  additional  shares.  Returns for Class A
    shares are  calculated  with and  without  the effect of the  initial  4.75%
    maximum sales  charge.  Returns for Class D shares are  calculated  with and
    without the effect of the 1%  contingent  deferred  sales  charge  ("CDSC"),
    charged  on  redemptions  made  within one year of the date of  purchase.  A
    portion of the Fund's  income may be subject to  applicable  state and local
    taxes, and any amount may be subject to the federal alternative minimum tax.

*** The Lehman  Index is an  unmanaged  index that does not  include any fees or
    sales charges and does not reflect state-specific bond market performance.
    Investors cannot invest directly in an index.

  + From 1/31/94.

  0 Represents  per share amount paid or declared  for the year ended  September
    30, 1998.

 00 Current yield, representing the annualized yield for the 30-day period ended
    September 30, 1998, has been computed in accordance with SEC regulations and
    will vary.

 ++ Percentages  based on market  values of long-term  holdings at September 30,
    1998.

                                         5

<PAGE>
Portfolio of Investments
September 30, 1998
<TABLE>
<CAPTION>
   FACE                                                                                       RATINGS+         MARKET
  AMOUNT                                   MUNICIPAL BONDS                                   MOODY'S/S&P        VALUE
- ----------                               -------------------                                 ------------    -----------
<S>            <C>                                                                            <C>            <C>
$2,500,000     Brick Township Municipal Utilities Authority, NJ Rev., 6 1/2% due 12/1/2012        Aaa/AAA    $ 2,782,100

 1,000,000     Camden County, NJ Health Systems Improvement Authority Rev. (Catholic
                  Health East), 5% due 11/15/2028 ......................................          Aaa/AAA      1,006,960

 3,000,000     Howell Township, NJ GOs, 6.80% due 1/1/2014 .............................          Aaa/AAA      3,305,370

 3,000,000     Middletown, NJ Board of Education School GOs, 5.80% due 8/1/2019 ........          Aaa/AAA      3,286,590

 2,000,000     New Jersey Economic Development Authority Rev. (The Trustees
                  of the Lawrenceville School Project), 5 3/4% due 7/1/2016  ...........           Aa2/NR      2,191,100

 3,000,000     New Jersey Economic Development Authority Gas Facilities Rev.
                  (NUI Corporation Project), 5.70% due 6/1/2032* .......................          Aaa/AAA      3,223,170

 2,900,000     New Jersey Economic Development Authority Sewage Facilities Rev.
                  (Anheuser-Busch Project), 5.85% due 12/1/2030* .......................           A1/A+       3,173,963

 1,000,000     New Jersey Economic Development Authority Water Facilities Rev.
                  (Middlesex Water Co. Project), 5.20% due 10/1/2022....................          Aaa/AAA      1,017,010

 3,000,000     New Jersey Economic Development Authority Water Facilities Rev.
                  (New Jersey American Water Co., Inc.), 5 3/8% due 5/1/2032* ..........           Aaa/AAA     3,112,350

 3,000,000     New Jersey Educational Facilities Financing Authority Rev.
                  (Institute for Advanced Study), 5% due 7/1/2021.......................           Aaa/AA+     3,032,100

 2,000,000     New Jersey Educational Facilities Financing Authority Rev.
                  (Princeton University), 6% due 7/1/2024 ..............................           Aaa/AAA     2,218,780

 1,000,000     New Jersey Health Care Facilities Financing Authority Rev.
                  (St. Clare's Riverside Medical Center), 5 3/4% due 7/1/2014 ..........           Aaa/AAA     1,082,920

 1,000,000     New Jersey Health Care Facilities Financing Authority Rev.
                  (The Medical Center at Princeton), 5% due 7/1/2028 ...................           Aaa/AAA     1,007,000

 3,000,000     New Jersey Health Care Facilities Financing Authority Rev.
                  (Hackensack University Medical Center), 5.20% due 1/1/2028 ...........           Aaa/AAA     3,064,350

 3,000,000     New Jersey Health Care Facilities Financing Authority Rev.
                  (Holy Name Hospital), 6% due 7/1/2025 ................................           NR/BBB+     3,187,860

 2,250,000     New Jersey Health Care Facilities Financing Authority Rev. (AHS
                  Hospital Corporation), 5% due 7/1/2027 ...............................           Aaa/AAA     2,264,715

   690,000     New Jersey Housing & Mortgage Finance Agency (Home Mortgage
                  Purchase Rev.),  7 7/8% due 10/1/2016 ................................           Aaa/AAA       696,983

   220,000     New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
                  7.65% due 10/1/2016 ..................................................           Aaa/AAA       229,772
<FN>
- ------------------
+ Ratings have not been audited by Deloitte & Touche LLP.

* Interest   income  earned  from  this  security  is  subject  to  the  federal
  alternative minimum tax.
</FN>
See Notes to Financial Statements.
</TABLE>
                                     6

<PAGE>
Portfolio of Investments
September 30, 1998
<TABLE>
<CAPTION>
   FACE                                                                                       RATINGS+         MARKET
  AMOUNT                                   MUNICIPAL BONDS                                   MOODY'S/S&P        VALUE
- ----------                               -------------------                                 ------------    -----------
<S>            <C>                                                                            <C>            <C>
$1,500,000     New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
                  6% due 10/1/2021* ....................................................          Aaa/AAA    $ 1,601,505

   250,000     New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
                  7.70% due 10/1/2029* .................................................          Aaa/AAA        259,930

 3,000,000     New Jersey State GOs, 5 5/8% due 7/15/2015 ..............................           Aa1/AA+     3,259,620

 3,000,000     Port Authority of New York & New Jersey Consolidated Rev.,
                  5 3/4% due 6/15/2030 .................................................           A1/AA-      3,224,460

 2,000,000     Puerto Rico Highway & Transportation Authority Rev., 5 1/2% due 7/1/2036            Baa1/A      2,180,920

 3,200,000     Rutgers State University, NJ, 5.20% due 5/1/2027.........................           A1/AA       3,289,056

 2,500,000     Salem County, NJ Improvement Authority Rev. (Correctional Facility
                  & Courthouse Annex), 5.70% due 5/1/2017 ..............................          Aaa/AAA      2,660,950

 2,500,000     Salem County, NJ Pollution Control Financing Authority Waste Disposal Rev.
                  (E. I. duPont de Nemours & Co.), 6 1/8% due 7/15/2022* ...............           Aa3/AA-     2,707,750

 1,750,000     South Jersey Port Corporation, NJ Marine Terminal Rev., 6 7/8% due 1/1/2020          NR/A+      1,780,503

 1,250,000     South Jersey Port Corporation, NJ Marine Terminal Rev., 5.60% due 1/1/2023           NR/A+      1,297,012
                                                                                                             -----------
TOTAL MUNICIPAL BONDS (Cost $57,442,953)-- 98.1% ......................................................       62,144,799

VARIABLE RATE DEMAND NOTES (Cost $200,000)-- 0.3% .....................................................          200,000

OTHER ASSETS LESS LIABILITIES-- 1.6% ..................................................................          976,091
                                                                                                             -----------
NET ASSETS-- 100.0% ...................................................................................      $63,320,890
                                                                                                             ===========
<FN>
- ------------------
+  Ratings have not been audited by Deloitte & Touche LLP.

*  Interest income earned from this security is subject to the federal alternative minimum tax.
</FN>
See Notes to Financial Statements.
</TABLE>
                                        7

<PAGE>
Statement of Assets and Liabilities
September 30, 1998
<TABLE>
<S>                                                                       <C>                                       <C>
ASSETS:
Investments, at value:
   Long-term holdings (Cost $57,442,953)..........................        $62,144,799
   Short-term holdings (Cost $200,000)............................            200,000                               $62,344,799
                                                                           ----------
Cash.................................................................................                                   103,397
Interest receivable..................................................................                                 1,021,226
Receivable for securities sold.......................................................                                    88,255
Receivable for Capital Stock sold....................................................                                    10,712
Expenses prepaid to shareholder service agent........................................                                     9,038
Other................................................................................                                       853
                                                                                                                    -----------
TOTAL ASSETS.........................................................................                                63,578,280
                                                                                                                    -----------
LIABILITIES:
Dividends payable....................................................................                                    98,042
Payable for Capital Stock repurchased................................................                                    31,350
Accrued expenses, taxes, and other...................................................                                   127,998
                                                                                                                    -----------
TOTAL LIABILITIES....................................................................                                   257,390

                                                                                                                    -----------
NET ASSETS...........................................................................                               $63,320,890
                                                                                                                    ===========
COMPOSITION OF NET ASSETS:
Capital Stock, at par ($.001 par value; 100,000,000 shares authorized; 8,141,043
   shares outstanding):
   Class A...........................................................................                               $     7,940
   Class D...........................................................................                                       201
Additional paid-in capital...........................................................                                57,863,025
Undistributed net realized gain......................................................                                   747,878
Net unrealized appreciation of investments...........................................                                 4,701,846
                                                                                                                    -----------
NET ASSETS...........................................................................                               $63,320,890
                                                                                                                    ===========
NET ASSET VALUE PER SHARE:
CLASS A ($61,738,501 / 7,939,842 shares).............................................                                     $7.78
                                                                                                                          =====
CLASS D ($1,582,389 / 201,201 shares)................................................                                     $7.86
                                                                                                                          =====
</TABLE>
- ------------------
See Notes to Financial Statements.

                                       8

<PAGE>
Statement of Operations
For the Year Ended September 30, 1998
<TABLE>
<S>                                                                                   <C>                           <C>
INVESTMENT INCOME:

INTEREST........................................................................................                    $3,514,055

EXPENSES:
Management fee................................................................        $  315,590
Distribution and service fees.................................................           150,403
Shareholder account services..................................................            89,399
Auditing and legal fees.......................................................            41,032
Shareholder reports and communications........................................            28,193
Registration..................................................................            15,143
Custody and related services..................................................            10,564
Directors' fees and expenses..................................................             2,240
Miscellaneous.................................................................             3,985
                                                                                      ----------
TOTAL EXPENSES..................................................................................                       656,549
                                                                                                                    ----------
NET INVESTMENT INCOME...........................................................................                     2,857,506

NET REALIZED AND UNREALIZED
GAIN ON INVESTMENTS:
Net realized gain on investments..............................................           795,284
Net change in unrealized appreciation of investments..........................         1,665,711
                                                                                      ----------
NET GAIN ON INVESTMENTS.........................................................................                     2,460,995
                                                                                                                    ----------
INCREASE IN NET ASSETS FROM OPERATIONS..........................................................                    $5,318,501
                                                                                                                    ==========
- ------------------
See Notes to Financial Statements.
</TABLE>
                                       9

<PAGE>
Statements of Changes in Net Assets
<TABLE>
<CAPTION>
                                                                                                     YEAR ENDED SEPTEMBER 30,
                                                                                                --------------------------------
OPERATIONS:                                                                                        1998                 1997
                                                                                                -----------          -----------
<S>                                                                                             <C>                  <C>
Net investment income.................................................................          $ 2,857,506          $ 3,190,601
Net realized gain on investments......................................................              795,284              640,851
Net change in unrealized appreciation of investments..................................            1,665,711            1,107,067
                                                                                                -----------          -----------
INCREASE IN NET ASSETS FROM OPERATIONS................................................            5,318,501            4,938,519
                                                                                                -----------          -----------
DISTRIBUTIONS TO SHAREHOLDERS:
Net investment income:
   Class A............................................................................           (2,793,695)          (3,147,677)
   Class D............................................................................              (63,811)             (42,924)
Net realized gain on investments:
   Class A............................................................................             (662,511)          (2,166,159)
   Class D............................................................................              (13,845)             (33,218)
                                                                                                -----------          -----------
DECREASE IN NET ASSETS FROM DISTRIBUTIONS.............................................           (3,533,862)          (5,389,978)
                                                                                                -----------          -----------
</TABLE>

<TABLE>
<CAPTION>
                                                                   SHARES
                                                        ------------------------------
                                                           YEAR ENDED SEPTEMBER 30,
                                                        ------------------------------
CAPITAL SHARE TRANSACTIONS:                                 1998               1997
                                                        -----------        -----------
<S>                                                     <C>                <C>                  <C>                  <C>
Net proceeds from sale of shares:
   Class A........................................          351,084            945,721            2,673,614            7,009,688
   Class D........................................           35,932             63,366              277,146              479,673
Shares issued in payment of dividends:
   Class A........................................          211,791            243,739            1,609,925            1,811,306
   Class D........................................            6,154              4,274               47,336               32,136
Exchanged from associated Funds:
   Class A........................................          376,982            411,620            2,858,633            3,035,982
   Class D........................................           74,609              2,882              573,703               22,069
Shares issued in payment of gain distributions:
   Class A........................................           66,337            215,373              496,199            1,595,916
   Class D........................................            1,655              3,939               12,516               29,503
                                                        -----------        -----------          -----------          -----------
Total.............................................        1,124,544          1,890,914            8,549,072           14,016,273
                                                        -----------        -----------          -----------          -----------
Cost of shares repurchased:
   Class A........................................       (1,024,527)        (1,964,212)          (7,783,891)         (14,557,171)
   Class D........................................          (84,855)           (54,046)            (653,515)            (408,164)
Exchanged into associated Funds:
   Class A........................................         (322,964)          (290,897)          (2,454,147)          (2,146,414)
   Class D........................................           --                 (2,553)           --                     (19,210)
                                                        -----------        -----------          -----------          -----------
Total.............................................       (1,432,346)        (2,311,708)         (10,891,553)         (17,130,959)
                                                        -----------        -----------          -----------          -----------
DECREASE IN NET ASSETS FROM CAPITAL
   SHARE TRANSACTIONS.............................         (307,802)          (420,794)          (2,342,481)          (3,114,686)
                                                         ==========         ==========           ----------           ----------
DECREASE IN NET ASSETS................................................................             (557,842)          (3,566,145)

NET ASSETS:
Beginning of year.....................................................................           63,878,732           67,444,877
                                                                                                -----------          -----------
END OF YEAR...........................................................................          $63,320,890          $63,878,732
                                                                                                ===========          ===========
- ------------------
See Notes to Financial Statements.
</TABLE>

                                        10

<PAGE>
Notes to Financial Statements

1. MULTIPLE  CLASSES OF SHARES -- Seligman New Jersey  Municipal Fund, Inc. (the
"Fund")  offers two  classes of 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 A shares  purchased in an amount of $1,000,000 or more are
sold without an initial  sales  charge but are subject to a contingent  deferred
sales charge ("CDSC") of 1% on redemptions within 18 months of purchase. Class D
shares  are  sold  without  an  initial  sales  charge  but  are  subject  to  a
distribution  fee of up to 0.75% and a  service  fee of up to 0.25% on an annual
basis, and a CDSC of 1% imposed on 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 other class
expenses,  and has exclusive voting rights with respect to any matter on which a
separate vote of any class is required.

2.  SIGNIFICANT  ACCOUNTING  POLICIES  -- The  financial  statements  have  been
prepared in conformity  with  generally  accepted  accounting  principles  which
require  management to make certain estimates and assumptions at the date of the
financial  statements.  The  following  summarizes  the  significant  accounting
policies of the Fund:

A.  SECURITY VALUATION --All municipal  securities and other short-term holdings
    maturing in more than 60 days are valued based upon  quotations  provided by
    an  independent  pricing  service  or,  in  their  absence,  at  fair  value
    determined in accordance with procedures approved by the Board of Directors.
    Short-term  holdings  maturing  in 60 days or less are  generally  valued at
    amortized cost.

B.  FEDERAL TAXES -- There is no provision for federal  income tax. The Fund has
    elected  to be  taxed as a  regulated  investment  company  and  intends  to
    distribute substantially all taxable net income and net gain realized.

C.  SECURITY   TRANSACTIONS   AND  RELATED   INVESTMENT   INCOME  --  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.  The Fund  amortizes
    original  issue  discounts  and  premiums  paid on  purchases  of  portfolio
    securities. Discounts other than original issue discounts are not amortized.

D.  MULTIPLE CLASS ALLOCATIONS -- 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 value of the
    shares of each class. Class-specific expenses, which include distribution
    and service fees and any other items that are specifically attributable to a
    particular class, are charged directly to such class. For the year ended
    September 30, 1998, distribution and service fees were the only
    class-specific expenses.

E.  DISTRIBUTIONS TO SHAREHOLDERS -- Dividends are declared daily and paid
    monthly. Other distributions paid by the Fund are recorded on the
    ex-dividend date. The treatment for financial statement purposes of
    distributions made to shareholders 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 realized 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 reclassifications will have no effect
    on net assets, results of operations or net asset value per share of the
    Fund.

3.  PURCHASES  AND SALES OF  SECURITIES  --  Purchases  and  sales of  portfolio
securities,  excluding short-term investments,  for the year ended September 30,
1998, amounted to $14,639,775 and $17,505,975, respectively.

   At  September  30,  1998,  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  of  investments
amounted to $4,701,846.

4. MANAGEMENT FEE, DISTRIBUTION SERVICES, AND OTHER TRANSACTIONS  -- J. & W.
Seligman & Co. Incorporated (the "Manager") manages the affairs of the Fund and
provides the necessary personnel and facilities.

                                     11

<PAGE>
Notes to Financial Statements

Compensation  of all  officers of the Fund,  all  directors  of the Fund who are
employees or consultants  of the Manager,  and all personnel of the Fund and the
Manager, is paid by the Manager. The Manager's fee, calculated daily and payable
monthly, is equal to 0.50% per annum of the Fund's average daily net assets.

   Seligman  Advisors,  Inc. (the  "Distributor")  (formerly  Seligman Financial
Services,  Inc.),  agent  for  the  distribution  of the  Fund's  shares  and an
affiliate of the Manager,  received  concessions  of $8,550 for sales of Class A
shares, after commissions of $64,487 paid to dealers.

   The Fund has an  Administration,  Shareholder  Services and Distribution Plan
(the "Plan") with respect to  distribution  of its shares.  Under the Plan, with
respect to Class A shares,  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  organizations  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  September  30,
1998, fees incurred aggregated $133,429, or 0.22% per annum of the average daily
net assets of Class A shares.

   Under the Plan,  with respect to Class D shares,  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 September 30, 1998, fees incurred under the Plan
amounted to $16,974,  or 1% per annum of the average daily net assets of Class D
shares.

   The  Distributor  is entitled to retain any CDSC  imposed on  redemptions  of
Class D shares occurring within one year of purchase and on certain  redemptions
of Class A shares  occurring  within 18 months of  purchase.  For the year ended
September 30, 1998, such charges amounted to $492.

   Seligman Services,  Inc., an affiliate of the Manager, is eligible to receive
commissions  from certain sales of shares of the Fund,  as well as  distribution
and service fees  pursuant to the Plan.  For the year ended  September 30, 1998,
Seligman Services,  Inc. received commissions of $362 from the sale of shares of
the Fund. Seligman Services, Inc. also received distribution and service fees of
$10,296, pursuant to the Plan.

   Seligman  Data  Corp.,  which  is  owned  by  certain  associated  investment
companies, charged at cost $89,399 for shareholder account services.

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

   The Fund has a  compensation  arrangement  under which  directors who receive
fees may elect to defer  receiving such fees.  Directors may elect to have their
deferred fees accrue  interest or earn a return based on the  performance of the
Fund or other funds in the Seligman Group of Investment  Companies.  The cost of
such fees and  earnings  accrued  thereon is  included  in  directors'  fees and
expenses,  and the accumulated balance thereof at September 30, 1998, of $36,073
is included in other liabilities. Deferred fees and related accrued earnings are
not deductible for federal income tax purposes until such amounts are paid.

5.  COMMITTED  LINE OF CREDIT -- Effective July 1, 1998, the Fund entered into a
joint $800 million  committed line of credit that is shared by substantially all
funds in the Seligman Group of Investment  Companies.  The Fund's borrowings are
limited to 10% of its net assets. Borrowings pursuant to the credit facility are
subject to interest  at a rate equal to the  overnight  federal  funds rate plus
0.50% on an overnight basis. The Fund incurs a commitment fee of 0.08% per annum
on its share of the unused portion of the credit  facility.  The credit facility
may be drawn upon only for  temporary  purposes and is subject to certain  other
customary restrictions. The credit facility commitment expires one year from the
date of the  agreement  but is renewable  with the consent of the  participating
banks. To date, the Fund has not borrowed from the credit facility.

                                     12
<PAGE>
Financial Highlights

   The Fund's  financial  highlights are presented  below.  "Per share operating
performance"  data is  designed  to  allow  investors  to  trace  the  operating
performance  of each Class,  on a per share basis,  from the beginning net asset
value to the ending net asset  value,  so that  investors  can  understand  what
effect the  individual  items  have on their  investment,  assuming  it was held
throughout  the period.  Generally,  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  amounts,  based on average  shares
outstanding.

   "Total  return based on net asset value"  measures  each Class's  performance
assuming  that  investors  purchased  Fund  shares at net asset  value as of the
beginning of the period,  invested dividends and capital gains paid at net asset
value,  and then sold their shares at the net asset value on the last day of the
period. The total return computations do not reflect any sales charges investors
may incur in purchasing or selling shares of the Fund. Total returns for periods
of less than one year are not annualized.
<TABLE> 
<CAPTION>
                                                                                        CLASS A
                                                                   --------------------------------------------------
                                                                                 YEAR ENDED SEPTEMBER 30,
                                                                   --------------------------------------------------
                                                                   1998        1997       1996       1995       1994
                                                                   -----       -----      -----      -----      -----
<S>                                                                <C>         <C>        <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
NET ASSET VALUE, BEGINNING OF YEAR........................         $7.56       $7.60      $7.59      $7.40      $8.24
                                                                   -----       -----      -----      -----      -----
Net investment income.....................................          0.35        0.36       0.39       0.39       0.41
Net realized and unrealized investment gain (loss)........          0.30        0.21       0.01       0.29      (0.74)
                                                                   -----       -----      -----      -----      -----
INCREASE (DECREASE) FROM INVESTMENT OPERATIONS............          0.65        0.57       0.40       0.68      (0.33)
Dividends paid or declared................................         (0.35)      (0.36)     (0.39)     (0.39)     (0.41)
Distributions from net gain realized......................         (0.08)      (0.25)      --        (0.10)     (0.10)
                                                                   -----       -----      -----      -----      -----
NET INCREASE (DECREASE) IN NET ASSET VALUE................          0.22       (0.04)      0.01       0.19      (0.84)
                                                                   -----       -----      -----      -----      -----
NET ASSET VALUE, END OF YEAR..............................         $7.78       $7.56      $7.60      $7.59      $7.40
                                                                   =====       =====      =====      =====      =====

TOTAL RETURN BASED ON NET ASSET VALUE:                              8.87%       7.96%      5.37%      9.77%     (4.25)%

RATIOS/SUPPLEMENTAL DATA:
Expenses to average net assets............................          1.02%       1.06%      1.02%      1.01%       0.90%
Net investment income to average net assets...............          4.54%       4.90%      5.06%      5.29%       5.24%
Portfolio turnover........................................         23.37%      20.22%     25.65%      4.66%      12.13%
NET ASSETS, END OF YEAR (000s omitted)....................       $61,739     $62,597    $66,293    $73,561     $73,942
Without management fee waiver:**
   Net investment income per share........................                                           $0.39       $0.40
   Ratios:
   Expenses to average net assets.........................                                            1.06%       1.07%
   Net investment income to average net assets............                                            5.24%       5.07%

- ------------------
See footnotes on page 14.
</TABLE>
                                      13

<PAGE>
Financial Highlights
<TABLE>
<CAPTION>
                                                                                          CLASS D
                                                               ----------------------------------------------------------
                                                                        YEAR ENDED SEPTEMBER 30,                  2/1/94*
                                                               -------------------------------------------          TO
                                                               1998        1997         1996         1995         9/30/94
                                                               -----       -----        -----        -----        -------
<S>                                                            <C>         <C>          <C>          <C>           <C>
PER SHARE OPERATING PERFORMANCE:
NET ASSET VALUE, BEGINNING OF PERIOD....................       $7.64       $7.68        $7.67        $7.48         $8.14
                                                               -----       -----        -----        -----         -----
Net investment income...................................        0.29        0.31         0.33         0.33          0.23
Net realized and unrealized investment gain (loss)......        0.30        0.21         0.01         0.29         (0.66)
                                                               -----       -----        -----        -----         -----
INCREASE (DECREASE) FROM INVESTMENT OPERATIONS..........        0.59        0.52         0.34         0.62         (0.43)
Dividends paid or declared..............................       (0.29)      (0.31)       (0.33)       (0.33)        (0.23)
Distributions from net gain realized....................       (0.08)      (0.25)        --          (0.10)          --
                                                               -----       -----        -----        -----         -----
NET INCREASE (DECREASE) IN NET ASSET VALUE..............        0.22       (0.04)        0.01         0.19         (0.66)
                                                               -----       -----        -----        -----         -----
NET ASSET VALUE, END OF PERIOD..........................       $7.86       $7.64        $7.68        $7.67         $7.48
                                                               =====       =====        =====        =====         =====
TOTAL RETURN BASED ON NET ASSET VALUE:                          7.97%       7.10%        4.56%        8.79%        (5.47)%

RATIOS/SUPPLEMENTAL DATA:

Expenses to average net assets..........................        1.80%       1.83%        1.79%        1.89%         1.75%+
Net investment income to average net assets.............        3.76%       4.13%        4.29%        4.45%         4.37%+
Portfolio turnover......................................       23.37%      20.22%       25.65%        4.66%        12.13%++
NET ASSETS, END OF PERIOD (000s omitted)................      $1,582      $1,282       $1,152       $1,190          $986
Without management fee waiver:**

   Net investment income per share......................                                             $0.33         $0.22
   Ratios:
   Expenses to average net assets.......................                                              1.94%         1.87%+
   Net investment income to average net assets..........                                              4.40%         4.25%+
<FN>
- ------------------
 * Commencement of offering of Class D shares.
** During the periods stated, the Manager, at its discretion, waived a portion
   of its fees.
 + Annualized.
++ For the year ended September 30, 1994.
</FN>
See Notes to Financial Statements.
</TABLE>
                                      14

<PAGE>
Report of Independent Auditors

THE BOARD OF DIRECTORS AND SHAREHOLDERS,
SELIGMAN NEW JERSEY MUNICIPAL FUND, INC.:

We have audited the accompanying statement of assets and liabilities,  including
the portfolio of investments,  of Seligman New Jersey Municipal Fund, Inc. as of
September 30, 1998, 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 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
September 30, 1998 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 Seligman New Jersey
Municipal  Fund,  Inc. as of September 30, 1998, the results of its  operations,
the changes in its 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
October 30, 1998

                                      15

<PAGE>
Board of Directors

JOHN R. GALVIN 2, 4
Dean, Fletcher School of Law and Diplomacy
   at Tufts University
Director, Raytheon Company

ALICE S. ILCHMAN 3, 4
Trustee, Committee for Economic Development
Chairman, The Rockefeller Foundation

FRANK A. MCPHERSON 2, 4
Director, Kimberly-Clark Corporation
Director, Baptist Medical Center

JOHN E. MEROW  2, 4
Retired Chairman and Senior Partner,
   Sullivan & Cromwell, Law Firm
Director, Commonwealth Industries, Inc.
Director, New York Presbyterian Hospital

BETSY S. MICHEL 2, 4
Trustee, The Geraldine R. Dodge Foundation
Chairman of the Board of Trustees, St. George's School

WILLIAM C. MORRIS 1
Chairman
Chairman of the Board, J. & W. Seligman & Co.
   Incorporated
Chairman, Carbo Ceramics Inc.
Director, Kerr-McGee Corporation

JAMES C. PITNEY 3, 4
Retired Partner, Pitney, Hardin, Kipp & Szuch,
   Law Firm

JAMES Q. RIORDAN 3, 4
Director, KeySpan Energy Corporation
Trustee, Committee for Economic Development
Director, Public Broadcasting Service

RICHARD R. SCHMALTZ 1
Managing Director, Director of Investments,
   J. & W. Seligman & Co. Incorporated
Trustee Emeritus, Colby College

ROBERT L. SHAFER 3, 4
Retired Vice President, Pfizer Inc.

JAMES N. WHITSON 2, 4
Director and Consultant, Sammons Enterprises, Inc.
Director, CommScope, Inc.
Director, C-SPAN

BRIAN T. ZINO 1
President
President, J. & W. Seligman & Co.  Incorporated
Chairman, Seligman Data Corp.
Director, ICI Mutual Insurance Company

Director Emeritus
FRED E. BROWN
Director and Consultant, J. & W. Seligman & Co. Incorporated

- ----------------
Member:    1 Executive Committee
           2 Audit Committee
           3 Director Nominating Committee
           4 Board Operations Committee

                                   16


<PAGE>
Executive Officers

WILLIAM C. MORRIS
Chairman

BRIAN T. ZINO
President

THOMAS G. MOLES
Vice President

LAWRENCE P. VOGEL
Vice President

THOMAS G. ROSE
Treasurer

FRANK J. NASTA
Secretary


FOR MORE INFORMATION

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 Advisors, 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

(212) 682-7600     Outside the
                   United States

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

                                     17


<PAGE>
Glossary of Financial Terms

CAPITAL GAIN  DISTRIBUTION  -- A payment to mutual fund  shareholders of profits
realized on the sale of  securities in the fund's  portfolio.  For tax purposes,
these  profits may be taxed at different  rates,  primarily  depending  upon the
length of time the securities were owned by the fund.

CAPITAL APPRECIATION/DEPRECIATION -- An increase or decrease in the market value
of a mutual  fund's  portfolio  securities,  which is reflected in the net asset
value of the fund's shares. Capital  appreciation/depreciation  of an individual
security is in relation to the original purchase price.

COMPOUNDING -- The change in the value of an investment as shareholders  receive
earnings on their investment's earnings. For example, if $1,000 is invested at a
fixed rate of 7% a year, the initial  investment is worth $1,070 after one year.
If the  return is  compounded,  second  year  earnings  will not be based on the
original $1,000, but on the $1,070, which includes the first year's earnings.

CONTINGENT  DEFERRED  SALES  CHARGE  (CDSC) --  Depending on the class of shares
owned, a fee charged by a mutual fund when shares are sold back to the fund (the
CDSC expires after a fixed time period).

DIVIDEND  -- A payment by a mutual  fund,  usually  derived  from the fund's net
investment income (dividends and interest less expenses).

DIVIDEND  YIELD -- A  measurement  of a fund's  dividend as a percentage  of the
maximum offering price.

EXPENSE  RATIO -- The cost of doing  business for a mutual fund,  expressed as a
percent of the fund's net assets.

INVESTMENT   OBJECTIVE  --  The  shared  investment  goal  of  a  fund  and  its
shareholders.

MANAGEMENT FEE -- The amount paid by a mutual fund to its investment advisor(s).

MULTIPLE CLASSES OF SHARES -- Although an individual mutual fund invests in only
one portfolio of securities,  it may offer investors  several  purchase  options
which are "classes" of shares.  Multiple  classes permit  shareholders to choose
the fee structure that best meets their needs and goals.  Generally,  each class
will  differ  in  terms of how and  when  sales  charges  and  certain  fees are
assessed.

NATIONAL ASSOCIATION OF SECURITIES DEALERS, INC.
(NASD) -- A  self-regulatory  body with  authority  over firms  that  distribute
mutual funds.

NET ASSET VALUE (NAV) PER SHARE -- The market worth of one fund share,  obtained
by adding a mutual  fund's  total  assets  (securities,  cash,  and any  accrued
earnings), subtracting liabilities, and dividing the resulting net assets by the
number of shares outstanding.

OFFERING  PRICE  (OP)  -- The  price  at  which a  mutual  fund's  share  can be
purchased.  The offering price per share is the current net asset value plus any
sales charge.

PORTFOLIO  TURNOVER  -- A measure of the  trading  activity  in a mutual  fund's
investment portfolio that reflects how often securities are bought and sold.

PROSPECTUS  -- The legal  document  describing a mutual fund to all  prospective
shareholders.  It contains  information  required by the Securities and Exchange
Commission (SEC), such as a fund's investment objective and policies,  services,
investment  restrictions,  officers  and  directors,  how  shares are bought and
redeemed, fund fees and other charges, and the fund's financial statements.

SEC YIELD -- SEC Yield refers to the net income earned by a fund during a recent
30-day  period.  This  income is  annualized  and then  divided  by the  maximum
offering  price per share on the last day of the  30-day  period.  The SEC Yield
formula reflects semiannual compounding.

SECURITIES  AND  EXCHANGE  COMMISSION  -- The  primary  US federal  agency  that
regulates the registration and distribution of mutual fund shares.

STATEMENT OF ADDITIONAL  INFORMATION -- A document that contains updated or more
detailed  information  about an  investment  company  and that  supplements  the
prospectus. It is available at no charge upon request.

TOTAL RETURN -- A measure of a fund's  performance  encompassing all elements of
return.  Reflects  the change in share price over a given period and assumes all
distributions  are taken in  additional  fund shares.  The Average  Annual Total
Return  represents the average annual  compounded rate of return for the periods
presented.

YIELD ON  SECURITIES  -- For bonds,  the  current  yield is the  coupon  rate of
interest,  divided by the purchase price.  For stocks,  the yield is measured by
dividing dividends paid by the market price of the stock.

- -----------------
Adapted from the Investment Company Institute's 1998 Mutual Fund Fact Book.

                                      18

<PAGE>
                             SELIGMAN ADVISORS, INC.
                                 an affiliate of

                                   [LOGO]
                            J. & W. SELIGMAN & CO.
                                 INCORPORATED

                                ESTABLISHED 1864

This report is intended only for the  information of  shareholders  or those who
have  received  the  offering  prospectus  covering  shares of Capital  Stock of
Seligman New Jersey Municipal Fund, Inc., which contains  information  about the
sales  charges,  management  fee,  and other costs.  Please read the  prospectus
carefully before investing or sending money.

                                                                     TECNJ2 9/98


                                    SELIGMAN

                                   New Jersey
                               Municipal Fund, Inc.

                                  Annual Report
                               September 30, 1998

                                Providing Income
                              Exempt From Regular
                                  Income Tax



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