SELIGMAN NEW JERSEY TAX EXEMPT FUND INC
N-30D, 1995-11-30
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- --------------------------------------------------------
Seligman 
New Jersey
Tax-Exempt
Fund, Inc.
- --------------------------------------------------------
8th Annual Report
September 30, 1995


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

(JWS LOGO GOES HERE)


To the Shareholders


We are pleased to update you on Seligman New Jersey Tax-Exempt Fund for 
the fiscal year ended September 30, 1995.

   During the past 12 months, total dividends for Class A shares were 
$0.391 per share. The net asset value of Class A shares was $7.59 per 
share on September 30, up from $7.40 a year ago. For Class D shares, total 
dividends were $0.332 per share. The net asset value of Class D shares was 
$7.67 per share on September 30, up from $7.48 a year ago. A capital gain 
distribution of $0.103 per share was paid on November 17, 1994, to Class A 
and D shareholders of record November 10, 1994. 

   The past 12 months have been a particularly turbulent period for fixed-
income markets. During the fourth quarter of 1994, a strengthening economy 
continued to fuel fears of an acceleration in the inflation rate. By mid-
November, municipal bond yields had climbed to their highest levels since 
1991. Investors, until now conspicuous by their absence, were attracted by 
higher yields and cautiously began buying. The municipal market, however, 
was still trying to absorb an oversupply of inventory as well as 
attempting to overcome the aftershocks of the Orange County, California, 
debacle and thus improved at a slower rate than the U.S. Treasury market. 
As 1994 came to a close, the bond market recovery was firmly under way. 
The Federal Reserve Board's (FRB) decision on February 1 to once again 
raise the federal funds rate helped to sustain the rally by boosting 
investor confidence in the FRB's ability to contain inflation.

   The U.S. economy finally began to exhibit signs of moderating during 
the second quarter of 1995, spurring further declines in long-term yields. 
The FRB, encouraged by economic reports, voted on July 6 to lower the 
federal funds rate in order to minimize the risk of a recession. While the 
bond markets initially reacted positively to this news, it wasn't long 
before the next round of economic reports proved surprisingly robust, 
prompting speculation that the economy was not as weak as believed. Long-
term yields reversed their decline and spiked sharply, dashing hopes of an 
imminent FRB easing. The municipal market began to improve in late August 
as signs of economic strength abated. By September 30, long-term yields 
were essentially unchanged from a year ago.

   For much of the past year, municipal market participants have been 
focusing on tax reform legislation. Investors, concerned about the impact 
on the tax-exempt status of municipal securities, have been demanding 
higher yields as compensation. Currently, long-term municipal bonds, 
compared with taxable bonds, are the most attractive they have been all 
year.

   A discussion with your Portfolio Manager about your Fund, along with 
highlights of performance, long-term investment results, portfolio 
holdings, and financial statements, follows this letter.

   For any additional information about Seligman New Jersey Tax-Exempt 
Fund, or your investment in its shares, please write or call using the 
toll-free telephone numbers listed on page 15 of this report.

By order of the Board of Directors,

/s/ William Morris
    William C. Morris
    Chairman

                                 /s/ Brian T. Zino
                                     Brian T. Zino 
                                     President
November 3, 1995

<PAGE>


Seligman New Jersey Tax-Exempt Fund, Inc.

Highlights  September 30, 1995            Class A         Class D
Net Assets (millions)                      $73.6            $1.2
Yield*                                       4.14%           3.57%
Dividends**                                 $0.391          $0.332
Capital Gain Distributions**                $0.103          $0.103
Net asset value per share                   $7.59           $7.67
Maximum offering price per share            $7.97           $7.67
Moody's/S&P Ratings+
Aaa/AAA                                             69%
Aa/AA                                               15
A/A                                                 13
Baa/BBB                                              3
Holdings by Market Sector(dagger)
Revenue Bonds                                       77%
General Obligation Bonds                            23
Weighted Average Maturity (years)                   18.8

 *Current yield representing the annualized yield for the 30-day period 
  ended September 30, 1995.
**Represents per share amount paid or declared during the year ended 
  September 30, 1995.
 +Percentages based on current market value of long-term holdings.
Note: The yields have been computed in accordance with current 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. A small portion of the Fund's income dividends may be 
subject to applicable state and local taxes and to the federal alternative 
minimum tax. Past performance is not indicative of future investment 
results.

<PAGE>

Annual Performance Overview

The following is a biography of your Portfolio Manager, a discussion with 
him regarding Seligman New Jersey Tax-Exempt Fund, and a chart and table 
comparing your Fund's performance to the performance of the Lehman 
Brothers Municipal Bond Index.

Your Portfolio Manager

(Photo of Thomas G. Moles goes here)

Thomas G. Moles is a Managing Director of J. & W. Seligman & Co. 
Incorporated, as well as President and Senior Portfolio Manager of 
Seligman Select Municipal Fund and Seligman Quality Municipal Fund, and 
Vice President and Senior Portfolio Manager of the Seligman tax-exempt 
mutual funds which include 19 separate portfolios. He is responsible for 
more than $2 billion in tax-exempt securities. Mr. Moles, with more than 
25 years of experience, has spearheaded Seligman's tax-exempt efforts 
since joining the firm in 1983.

Factors Affecting Seligman New Jersey Tax-Exempt Fund
"In general, the investment environment for municipal securities in 1995 
was much more advantageous than in 1994. Looking back, interest rates 
continued to move higher during the fourth quarter of 1994 as negative 
market sentiment prevailed. The net asset values on long-term municipal 
bond mutual funds, including your Fund, declined as a result. The 
municipal market was further impacted by the Orange County, California, 
bankruptcy, which undermined confidence in the market.

"During the first half of 1995, yields on municipal bonds trended lower as 
the economy exhibited signs of moderating. The municipal market, however, 
underperformed the U.S. Treasury market due to concerns regarding tax 
reform. During the third quarter, stronger-than-expected economic reports 
caused a brief spike in interest rates. By September 30, however, the 
overall decline in long-term yields over the past 12 months had caused the 
net asset value of your Fund to improve."

Your Manager's Investment Strategy
"For much of the past year, there has been little difference between 
yields on 20-year and 30-year municipal bonds. We took advantage of the 
narrow yield spread and shortened maturities where opportunities allowed. 
By implementing this strategy, the Fund was able to maintain yields while 
lessening volatility.

"As the bond market gradually improved, your Fund assumed a less defensive 
posture. Shorter-term prerefunded positions were reduced and replaced with 
long-term bonds, as long-term bonds generally realize greater price 
appreciation than shorter-term bonds in a declining interest rate 
environment.

"The Fund continues to concentrate new purchases in higher-quality 
municipal bonds. The market has not been offering enough of an additional 
yield on lower-rated bonds to compensate for their increased risk. In 
addition, the Fund has focused on bonds issued to provide for essential 
services, such as water and sewer facilities, transportation projects, 
etc. These bonds generally offer increased security because revenues 
derived from the projects are often pledged as repayment for the principal 
and interest on the bonds."

Looking Ahead
"The municipal market faces many challenges in the months to come. With 
the Federal government shifting more and more responsibilities to 
individual states, we are concerned about the impact on state budgets. 
Additionally, the possibility exists that future tax reform legislation 
may affect the tax-exempt status of municipal securities. At present, 
however, tax reform is not a consideration in our decision making process. 
We will continue to stay abreast of the latest developments and adjust our 
strategy accordingly. Despite the challenges, we remain optimistic about 
the prospects for the municipal market. We believe a moderating economy 
and a vigilant Federal Reserve Board should keep inflation in check and 
prevent a repeat of the dramatic interest rate increases that occurred in 
1994."

<PAGE>

Performance Comparison Chart and Table                September 30, 1995

This chart compares a $10,000 hypothetical investment made in Seligman New 
Jersey Tax-Exempt Fund Class A shares, with and without the maximum 
initial sales charge of 4.75%, since inception on February 16, 1988, 
through September 30, 1995, to a $10,000 hypothetical investment made in 
the Lehman Brothers Municipal Bond Index (Lehman Index) for the same 
periods. The performance of Seligman New Jersey Tax-Exempt Fund 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 Lehman Index excludes the effects of 
any fees or sales charges, and does not reflect state-specific bond market 
performance.



(The following table is the source data for the line chart which appears
at this point in the printed document. This table is not part of the 
original printed document and is shown for reference only. The same is 
also true for this descriptive paragraph.)

Seligman New Jersey Tax-Exempt Fund

            Class A with  Class A without     Lehman 
             sales charge   sales charge       Index   
2/16/88       $9,520.00      $10,000.00      $10,000.00
3/31/88       $9,093.00       $9,552.00       $9,883.50
6/30/88       $9,402.00       $9,876.00      $10,075.11
9/30/88       $9,707.00      $10,196.00      $10,333.43
12/31/88     $10,013.00      $10,518.00      $10,526.08
3/31/89      $10,110.00      $10,620.00      $10,595.79
6/30/89      $10,747.00      $11,289.00      $11,223.00
9/30/89      $10,668.00      $11,206.00      $11,230.81
12/31/89     $11,070.00      $11,628.00      $11,661.72
3/31/90      $11,046.00      $11,603.00      $11,713.96
6/30/90      $11,315.00      $11,886.00      $11,987.46
9/30/90      $11,206.00      $11,771.00      $11,994.49
12/31/90     $11,820.00      $12,416.00      $12,511.84
3/31/91      $12,065.00      $12,673.00      $12,794.67
6/30/91      $12,316.00      $12,937.00      $13,067.79
9/30/91      $12,772.00      $13,416.00      $13,575.64
12/31/91     $13,125.00      $13,787.00      $14,030.81
3/31/92      $13,106.00      $13,767.00      $14,072.51
6/30/92      $13,691.00      $14,381.00      $14,605.90
9/30/92      $14,011.00      $14,717.00      $14,994.54
12/31/92     $14,304.00      $15,026.00      $15,267.36
3/31/93      $14,856.00      $15,605.00      $15,834.40
6/30/93      $15,438.00      $16,216.00      $16,352.50
9/30/93      $15,975.00      $16,781.00      $16,905.21
12/31/93     $16,074.00      $16,885.00      $17,143.02
3/31/94      $15,169.00      $15,934.00      $16,201.97
6/30/94      $15,258.00      $16,027.00      $16,380.33
9/30/94      $15,297.00      $16,068.00      $16,492.57
12/31/94     $15,085.00      $15,846.00      $16,256.88
3/31/95      $16,108.00      $16,920.00      $17,405.48
6/30/95      $16,426.00      $17,254.00      $17,824.74
9/30/95      $16,791.00      $17,638.00      $18,337.23



The table below shows the average annual total returns for the one-year, 
five-year, and since-inception periods through September 30, 1995, for 
Seligman New Jersey Tax-Exempt Fund Class A shares, with and without the 
maximum initial sales charge of 4.75%, and the Lehman Index. Also included 
in the table are the average annual total returns for the one-year and 
since-inception periods through September 30, 1995, for Seligman New 
Jersey Tax-Exempt Fund 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.

<TABLE>

Average Annual Total Returns
<CAPTION>

                                                                   Since                                                    Since
                                        One           Five       Inception                                    One        Inception
                                        Year         Years        2/16/88                                     Year        2/1/94
                                        -----        -----        -------                                    -----       ---------
<S>                                     <C>          <C>          <C>         <C>                            <C>         <C>   
Seligman New Jersey                                                           Seligman New Jersey
Tax-Exempt Fund                                                               Tax-Exempt Fund
   Class A with Sales Charge             4.54%        7.37%        7.04%        Class D with CDSL             7.79%         n/a
   Class A without Sales Charge          9.77         8.42         7.73         Class D without CDSL          8.79         1.70%
Lehman Index                            11.18         8.86         8.32*      Lehman Index                   11.18         3.43

*From 2/29/88.
</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 cost. Past performance is not indicative 
of future investment results.
<PAGE>

<TABLE>
Portfolio of Investments                                                                                        September 30, 1995
<CAPTION>
   Face                                                                                                      Ratings        Market
  Amount                                       Municipal Bonds                                          Moody's/S&P+         Value
- ----------                                                                                              -----------    -----------
<C>          <S>                                                                                             <C>       <C>
$3,750,000   Bergen County, NJ Utility Authority Water Pollution Control Rev., Zero Coupon Bond
               due 12/15/2009                                                                                Aaa/AAA   $ 1,739,250
 2,500,000   Brick Township Municipal Utilities Authority, NJ Rev., 6.50% due 12/1/2012                      Aaa/AAA     2,699,475
 1,000,000   Delran Sewerage Authority, NJ Subordinated Sewer Rev., 7.50% due 3/1/2013                       Aaa/AAA     1,101,820
 1,000,000   Hamilton Township Municipal Utilities Authority, NJ Rev., 6% due 8/15/2017                      Aaa/AAA     1,010,180
 3,000,000   Howell Township, NJ G.O.'s, 6.80% due 1/1/2014                                                  Aaa/AAA     3,248,100
   700,000   Lenape, NJ Regional High School District G.O.'s, 7 5/8% due 1/1/2009                            Aaa/AAA       853,475
 1,250,000   Logan Township, NJ School District Certificates of Participation (Pacificorp Capital, Inc.),
               7% due 6/15/2014                                                                              Aaa/AAA     1,373,175
 1,500,000   Marlboro Township Municipal Utilities Authority Monmouth County, NJ Water Rev.,
               6% due 12/1/2018                                                                              Aaa/AAA     1,514,295
 3,000,000   Mercer County, NJ Improvement Authority Rev. (Resource Recovery Project),
               6.70% due 4/1/2013*                                                                           Aaa/AAA     3,111,990
 3,000,000   Morris County, NJ G.O.'s, 5% due 7/15/2011                                                      Aaa/AAA     2,824,620
 2,250,000   New Jersey Building Authority State Building Rev. (Garden State Savings Bonds),
               Zero Coupon Bond due 6/15/2008                                                                Aa/AA-      1,141,538
 1,000,000   New Jersey Building Authority State Building Rev., 7.20% due 6/15/2013                          Aa/AA-      1,085,310
   500,000   New Jersey Economic Development Authority Rev. (Jersey Central Power &
               Light Co. Project), 7.10% due 7/1/2015                                                        Aaa/AAA       556,510
 1,000,000   New Jersey Economic Development Authority Water Facilities Rev. (Hackensack Water Co.
               Project), 7% due 10/1/2017*                                                                   NR/A        1,033,600
 1,000,000   New Jersey Economic Development Authority Water Facilities Rev. (Hackensack Water Co.
               Project), 7% due 1/1/2019                                                                     Aaa/AAA     1,050,570
 1,000,000   New Jersey Economic Development Authority Water Facilities Rev. (Middlesex Water Co.
               Project), 5.20% due 10/1/2022                                                                 Aaa/AAA       919,900
 3,500,000   New Jersey Economic Development Authority Water Facilities Rev. (New Jersey-American
               Water Co., Inc. Project), 5.50% due 6/1/2023*                                                 Aaa/AAA     3,346,525
 3,000,000   New Jersey Educational Facilities Financing Authority Rev. (Trenton State College),
               7.20% due 7/1/2019                                                                            Aaa/AAA     3,344,040
 1,495,000   New Jersey Health Care Facilities Financing Authority Rev. (Chilton Memorial Hospital),
               5% due 7/1/2013                                                                               A/A-        1,307,721
 1,000,000   New Jersey Health Care Facilities Financing Authority Rev. (St. Clare's Riverside Medical
             Center), 7.75% due 7/1/2014                                                                     Aaa/AAA     1,079,920
 2,000,000   New Jersey Health Care Facilities Financing Authority Rev. (St. Clare's Riverside Medical
               Center), 5.75% due 7/1/2014                                                                   Aaa/AAA     1,986,180
 2,000,000   New Jersey Health Care Facilities Financing Authority Rev. (Hackensack Medical Center),
               6 5/8% due 7/1/2017                                                                           Aaa/AAA     2,124,060
 1,000,000   New Jersey Health Care Facilities Financing Authority Rev. (Holy Name Hospital),
               6.75% due 7/1/2020                                                                            Aaa/AAA     1,061,860
 2,500,000   New Jersey Health Care Facilities Financing Authority Rev. (The Medical Center
               at Princeton), 7% due 7/1/2022                                                                Aaa/AAA     2,760,900
 2,500,000   New Jersey Health Care Facilities Financing Authority Rev. (Englewood Hospital &
               Medical Center), 6.75% due 7/1/2024                                                           Baa/BBB     2,518,600
 1,100,000   New Jersey Housing & Mortgage Finance Agency (Home Mortgage Purchase Rev.),
               7 7/8% due 10/1/2016                                                                          Aaa/AAA     1,152,899
   220,000   New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
               7.65% due 10/1/2016                                                                           Aaa/AAA       236,293
 1,000,000   New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
               5 3/8% due 4/1/2025*                                                                          Aaa/AAA       895,070
   560,000   New Jersey Housing & Mortgage Finance Agency (Home Buyer Rev.),
               7.70% due 10/1/2029*                                                                          Aaa/AAA       589,803
 1,325,000   New Jersey Wastewater Treatment Trust Loan Rev., 7.25% due 5/15/2006                            Aa/AA       1,420,387
 1,000,000   New Jersey Wastewater Treatment Trust Loan Rev., 7 3/8% due 5/15/2007                           Aaa/AAA     1,094,490
 1,625,000   New Jersey Wastewater Treatment Trust Loan Rev., 7.25% due 5/15/2007                            Aa/AA       1,736,979
 2,000,000   Oradell School District, NJ Certificates of Participation, 7.20% due 10/1/2009                  Aaa/AAA     2,241,100
 1,000,000   Paterson, NJ Water System G.O.'s, 7 1/8% due 7/1/2015                                           Aaa/AAA     1,065,910
 3,000,000   Port Authority of New York & New Jersey Consolidated Rev., 4.75% due 1/15/2029                  A1/AA-      2,469,390
 3,500,000   Salem County, NJ Improvement Authority Rev. (Correctional Facility
               & Courthouse Annex), 5.70% due 5/1/2017                                                       Aaa/AAA     3,448,515
 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      2,510,675
 1,750,000   South Jersey Port Corporation, NJ Marine Terminal Rev., 6 7/8% due 1/1/2020                     NR/A+       1,813,000
 5,000,000   Union County, NJ Improvement Authority Rev. (Correctional Facilities), Zero Coupon
               Bond due 6/15/2007                                                                            Aaa/AA+     2,694,200
 2,500,000   University of Medicine & Dentistry of New Jersey, 7.20% due 12/1/2019                           A/AA        2,757,675
 1,000,000   Western Monmouth Utilities Authority, NJ Sewer Rev., 6% due 2/1/2014                            Aaa/AAA     1,006,190
                                                                                                                       -----------
Total Municipal Bonds (Cost $67,975,396)--96.2%                                                                         71,926,190
Variable Rate Demand Notes (Cost $1,200,000)--1.6%                                                                       1,200,000
Other Assets Less Liabilities--2.2%                                                                                      1,624,413
                                                                                                                       -----------
NET ASSETS--100.0%                                                                                                     $74,750,603
                                                                                                                       ===========
* Interest income earned from this security is subject to the federal alternative minimum tax.
+ Ratings have not been audited by Deloitte & Touche LLP.

See notes to financial statements.
</TABLE>
<PAGE>


<TABLE>
Statement of Assets and Liabilities                                                          For the year ended September 30, 1995
<CAPTION>

<S>                                                                         <C>               <C>                              
Assets:
Investments, at value:
  Long-term holdings (cost $67,975,396)                                     $71,926,190
  Short-term holdings (cost $1,200,000)                                       1,200,000       $73,126,190
                                                                            -----------       
Cash                                                                                              231,780
Interest receivable                                                                             1,303,225
Receivable for Capital Stock sold                                                                 359,456
Expenses prepaid to shareholder service agent                                                      35,411
Other                                                                                               9,855
                                                                                              -----------
Total Assets                                                                                   75,065,917
                                                                                              -----------
Liabilities:
Dividends payable                                                                                 133,501
Payable for Capital Stock repurchased                                                              56,253
Accrued expenses, taxes, and other                                                                125,560
                                                                                              -----------
Total Liabilities                                                                                 315,314
                                                                                              -----------
Net Assets                                                                                    $74,750,603
                                                                                               ==========

Composition of Net Assets:
  Capital Stock, at par ($.001 par value; 50,000,000 shares authorized;
    9,845,254 shares outstanding):
    Class A                                                                                   $     9,690
    Class D                                                                                           155
Additional paid-in capital                                                                     70,758,980
Undistributed net realized gain                                                                    30,984
Net unrealized appreciation of investments                                                      3,950,794
                                                                                              -----------
Net Assets                                                                                    $74,750,603
                                                                                              ===========
Net Asset Value per share:
    Class A ($73,560,792 (divided by) 9,690,206 shares)                                             $7.59
                                                                                                    =====
    Class D ($1,189,811 (divided by) 155,048 shares)                                                $7.67
                                                                                                    =====

See notes to financial statements.

</TABLE>
<PAGE>


<TABLE>
Statements of Changes in Net Assets
<CAPTION>
                                                                                               Year Ended September 30
                                                                                             ----------------------------
                                                                                                1995              1994
                                                                                             -----------      -----------

<S>                                                                                          <C>              <C>
Operations:
Net investment income                                                                        $ 3,889,418      $ 4,167,938
Net realized gain on investments                                                                  33,365        1,022,309
Net change in unrealized appreciation of investments                                           2,800,005       (8,662,877)
                                                                                             -----------      -----------
Increase (decrease) in net assets from operations                                              6,722,788       (3,472,630)
                                                                                             -----------      -----------
Distributions to shareholders:
Net investment income:
   Class A                                                                                    (3,838,302)      (4,147,445)
   Class D                                                                                       (51,116)         (20,493)
Net realized gain on investments:
   Class A                                                                                    (1,010,909)        (965,694)
   Class D                                                                                       (13,739)              --
                                                                                             -----------      -----------
Decrease in net assets from distributions                                                     (4,914,066)      (5,133,632)
                                                                                             -----------     ------------

<CAPTION>
Capital share transactions:*
                                                                        Shares
                                                              -----------------------
                                                              Year Ended September 30
                                                              -----------------------
                                                                1995            1994
                                                              ---------      ---------
<S>                                                            <C>            <C>             <C>              <C>
Net proceeds from sale of shares:
   Class A                                                      548,270        828,366         4,058,926        6,506,607
   Class D                                                       63,760        140,466           466,899        1,083,038
Shares issued in payment of dividends:
   Class A                                                      305,485        323,064         2,251,536        2,513,538
   Class D                                                        4,801          1,624            35,924           12,377
Exchanged from associated Funds:
   Class A                                                      512,716        150,576         3,727,736        1,154,376
   Class D                                                        1,613             --            12,373               --
Shares issued in payment of gain distributions:
   Class A                                                      109,013         87,409           742,377          699,267
   Class D                                                        1,519                           10,467               --
                                                              ---------      ---------       -----------      -----------
Total                                                         1,547,177      1,531,505        11,306,238       11,969,203
                                                              ---------   ------------       -----------      -----------
Cost of shares repurchased:
   Class A                                                   (1,428,147)    (1,288,638)      (10,436,724)      (9,918,118)
   Class D                                                      (48,118)        (5,241)         (359,695)         (39,659)
Exchanged into associated Funds:
   Class A                                                     (345,862)      (115,220)       (2,493,426)        (886,677)
   Class D                                                         (316)        (5,060)           (2,400)         (37,852)
                                                              ---------   ------------       -----------      -----------
Total                                                        (1,822,443)    (1,414,159)      (13,292,245)     (10,882,306)
                                                              ---------   ------------       -----------      -----------
Increase (decrease) in net assets from
   capital share transactions                                  (275,266)       117,346        (1,986,007)       1,086,897
                                                              =========   ============       -----------      -----------

Decrease in net assets                                                                          (177,285)      (7,519,365)
Net Assets:
Beginning of year                                                                             74,927,888       82,447,253
                                                                                             -----------     ------------
End of year                                                                                  $74,750,603      $74,927,888
                                                                                             ===========      ===========
- -------------------
*The Fund began offering Class D shares on February 1, 1994.
See notes to financial statements.
</TABLE>
<PAGE>


Notes to Financial Statements

1.  Seligman New Jersey Tax-Exempt Fund, Inc. (the "Fund") offers two 
classes of shares. All shares existing prior to February 1, 1994, were 
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 distribution fee of up to 0.75% and a service fee of 
up to 0.25% on an annual basis, and 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 tax-exempt 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.  There is no provision for federal income or excise 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. 
    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. 
    The Fund amortizes original issue discounts and premiums paid on 
    purchases of portfolio securities. Discounts other than original 
    issue discounts are not amortized.

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 value of the shares 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, and 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 portfolio securities, excluding short-term 
investments, for the year ended September 30, 1995, amounted to $3,336,380 
and $8,087,718, respectively.

     At September 30, 1995, 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 investments amounted to $4,616,400 and $665,606, respectively.

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 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. During the year ended September 30, 1995, the 
Manager, at its discretion, waived a portion of its fees equal to $34,752. 
The management fee reflected in the Statement of Operations represents 
0.45% per annum of the Fund's average daily net assets.

     Seligman Financial Services, Inc. (the "Distributor"), agent for the 
distribution of the Fund's shares and an affiliate of the Manager, 
received concessions of $18,565 from the sale of Class A shares, after 
commissions of $135,667 paid to dealers.

     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 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, 1995, 
fees paid aggregated $159,902, or 0.22% per annum of the average daily net 
assets of Class A shares.

     The Fund has 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 September 30, 1995, fees paid amounted to 
$11,520, 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 of Class D shares occurring within one year of purchase. For 
the year ended September 30, 1995, such charges amounted to $1,586.

     Effective April 1, 1995, Seligman Services, Inc., an affiliate of the 
Manager, became eligible to receive commissions from certain sales of Fund 
shares, as well as distribution and service fees pursuant to the Plan. For 
the period ended September 30, 1995, Seligman Services, Inc. received 
commissions of $135 from sales of shares of the Fund. Seligman Services, 
Inc. also received distribution and service fees of $4,199, pursuant to 
the Plan.

     Seligman Data Corp., which is owned by certain associated investment 
companies, charged at cost $117,394 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.

     Fees of $8,000 were incurred by the Fund for the legal services of 
Sullivan & Cromwell, a member of which firm is a director of the Fund.

     The Fund has a compensation arrangement under which directors who 
receive fees may elect to defer receiving such fees. Interest is accrued 
on the deferred balances. The cost of such fees and interest is included 
in directors' fees and expenses, and the accumulated balance thereof at 
September 30, 1995, of $30,675 is included in other liabilities. Deferred 
fees and 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 September 30, 1995, which are included in the corresponding captions 
of the Statement of Operations, were as follows:
                                       Class A        Class D
                                      --------        -------

Distribution 
   and service fees                   $159,902        $11,520
Registration                               894            998
Shareholder reports and
   communications                          809              7

<PAGE>

Financial Highlights

The Fund's financial highlights 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 the Fund's beginning net 
asset value to the ending net asset value so that they can understand what 
effect the individual items have on their investment assuming it was 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 amounts using 
average shares outstanding.

     The total return based on net asset value measures the Fund's 
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 or selling 
shares of the Fund. The total returns for periods of less than one year 
are not annualized.

<TABLE>

                                                                    Class A                                       Class D
                                              ---------------------------------------------------------        ------------------
<CAPTION>
                                                              Year Ended September 30                          Year        2/1/94*
                                              ---------------------------------------------------------        Ended         to
                                              1995         1994         1993         1992         1991        9/30/95      9/30/94
                                              -----        -----        -----        -----        -----        -----        -----
<S>                                           <C>          <C>          <C>          <C>          <C>          <C>          <C>  
Per Share Operating Performance:
Net asset value, beginning of period          $7.40        $8.24        $7.74        $7.49        $7.01        $7.48        $8.14
                                              -----        -----        -----        -----        -----        -----        -----
Net investment income                           .39          .41          .42          .44          .44          .33          .23
Net realized and unrealized
  investment gain (loss)                        .29         (.74)         .61          .27          .51          .29         (.66)
                                              -----        -----        -----        -----        -----        -----        -----
Increase (decrease) from
  investment operations                         .68         (.33)        1.03          .71          .95          .62         (.43)
Dividends paid or declared                     (.39)        (.41)        (.42)        (.44)        (.44)        (.33)        (.23)
Distributions from net gain realized           (.10)        (.10)        (.11)        (.02)        (.03)        (.10)          --
                                              -----        -----        -----        -----        -----        -----        -----
Net increase (decrease) in
  net asset value                               .19         (.84)         .50          .25          .48          .19         (.66)
                                              -----        -----        -----        -----        -----        -----        -----
Net asset value, end of period                $7.59        $7.40        $8.24        $7.74        $7.49        $7.67        $7.48
                                              =====        =====        =====        =====        =====        =====        =====

Total return based on
  net asset value                              9.77%       (4.25)%      14.02%        9.70%       13.97%        8.79%       -5.47%
Ratios/Supplemental Data:
Expenses to average net assets                 1.01%         .90%        0.86%        0.85%         .81%        1.89%        1.75%+
Net investment income to
  average net assets                           5.29%        5.24%        5.37%        5.74%        6.02%        4.45%        4.37%+
Portfolio turnover                             4.66%       12.13%       15.90%       27.13%       14.64%        4.66%       12.13%++
Net assets, end of period
(000's omitted)                             $73,561      $73,942      $82,447      $74,256      $65,044       $1,190         $986
Without management fee waiver:**
Net investment income per share                $.39         $.40         $.40         $.42         $.42         $.33         $.22
Expenses to average net assets                 1.06%        1.07%        1.11%        1.10%        1.11%        1.94%        1.87%+
Net investment income to
average net assets                             5.24%        5.07%        5.12%        5.49%        6.01%        4.40%        4.25%+
- -----------------
 *Commencement of offering of Class D shares.
**The Manager, at its discretion, waived a portion of its fees for the periods presented.
 +Annualized.
++For the year ended September 30, 1994.

See notes to financial statements.
</TABLE>
<PAGE>


Report of Independent Auditors

The Board of Directors and Shareholders,
Seligman New Jersey Tax-Exempt Fund, Inc.:

We have audited the accompanying statement of assets and liabilities, 
including the portfolio of investments, of Seligman New Jersey Tax-Exempt 
Fund, Inc. as of September 30, 1995, 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, 1995 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 Tax-Exempt Fund, Inc. as of September 30, 1995, 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.

/s/ Deloitte & Touche LLP
- -------------------------
DELOITTE & TOUCHE LLP
New York, New York
November 3, 1995

<PAGE>

Board of Directors

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

John R. Galvin 2
Dean, Fletcher School of Law and Diplomacy
   at Tufts University
Director, USLIFE Corporation

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

Frank A. McPherson 2
Chairman and CEO, Kerr-McGee Corporation
Director, Kimberly-Clark Corporation
Director, Baptist Medical Center

John E. Merow
Partner, Sullivan & Cromwell, Law Firm
Director, Commonwealth Aluminum Corporation

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

James C. Pitney 3
Partner, Pitney, Hardin, Kipp & Szuch, Law Firm
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

Ronald T. Schroeder 1
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
Director, Red Man Pipe and Supply Company

Brian T. Zino 1
President
Managing Director,
- ---------------
Member: 1 Executive Committee
        2 Audit Committee
        3 Director Nominating Committee


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




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) 622-4597   24-Hour Automated 
                 Telephone Access 
                 Service


<PAGE>


                   Seligman Financial Services, Inc.
                            an affiliate of

                          JWS LOGO GOES HERE

                          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 Capital Stock 
of Seligman New Jersey Tax-Exempt 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 9/95






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