INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
N-30D, 1998-06-19
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<PAGE>   1
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES   Two World Trade Center, 
                                                     New York, New York 10048
 
LETTER TO THE SHAREHOLDERS April 30, 1998
 
DEAR SHAREHOLDER:
 
We are pleased to present the semiannual report on the operations of
InterCapital New York Quality Municipal Securities (IQN) for the period ended
April 30, 1998.
 
Since last fall domestic economic growth has been tempered by the deflationary
impact of the Asian financial crisis. U.S. employment conditions strengthened
and the unemployment rate declined to its lowest level since 1970. Inflation
remained subdued despite the robust economy. In part this was the result of
productivity gains and the lower costs of oil and other imports. Foreign
currency turmoil strengthened the value of the U.S. dollar and created demand
for U.S. Treasury securities. Municipal bonds followed the trend of Treasuries
and yields declined to levels last seen 20 years ago. The bond market rally was
also aided by prospects of the first federal budget surplus in more than two
decades.
 
MUNICIPAL MARKET CONDITIONS
 
Long-term insured index yields ended April 1998 at 5.35 percent after reaching a
low of 5.15 percent in December and January. Over the past
 
                            BOND YIELDS 1994-1998
<TABLE>
<CAPTION>
                                                      Insured Municipal
               30-Year            30-Year U.S.          Revenue Yields
          Insured Municipal        Treasury          as a Percentage of U.S.
               Yields               Yields              Treasury Yields
<S>       <C>                     <C>                <C>

Dec '93         5.4                  6.34                   85.17%
                5.4                  6.24                   86.54%
                5.8                  6.66                   87.09%
                6.4                  7.09                   90.27%
                6.35                 7.32                   86.75%
                6.25                 7.43                   84.12%
Jun '94         6.5                  7.61                   85.41%
                6.25                 7.39                   84.57%
                6.3                  7.45                   84.56%
                6.55                 7.81                   83.87%
                6.75                 7.96                   84.80%
                7                    8                      87.50%
Dec '94         6.75                 7.88                   85.66%
                6.4                  7.7                    83.12%
                6.15                 7.44                   82.66%
                6.15                 7.43                   82.77%
                6.2                  7.34                   84.47%
                5.8                  6.66                   87.09%
Jun '95         6.1                  6.62                   92.15%
                6.1                  6.86                   88.92%
                6                    6.66                   90.08%
                5.95                 6.48                   91.82%
                5.75                 6.33                   90.84%
                5.5                  6.14                   89.56%
Dec '95         5.35                 5.94                   90.07%
                5.4                  6.03                   89.55%
                5.8                  6.46                   86.69%
                5.85                 6.66                   87.84%
                5.95                 6.89                   86.36%
                6.05                 6.99                   86.55%
Jun '96         5.9                  6.89                   85.63%
                5.85                 6.97                   83.93%
                5.9                  7.11                   82.98%
                5.7                  6.93                   82.25%
                5.65                 6.64                   85.09%
                5.5                  6.35                   86.61%
Dec '96         5.6                  6.63                   84.46%
                5.7                  6.79                   83.95%
                5.65                 6.8                    83.08%
                5.9                  7.1                    83.10%
                5.75                 6.94                   82.85%
                5.65                 6.91                   81.77%
Jun '97         5.6                  6.78                   82.60%
                5.3                  6.3                    84.00%
                5.5                  6.61                   83.00%
                5.4                  6.4                    84.40%
                5.35                 6.15                   86.90%
                5.3                  6.05                   87.60%
Dec '97         5.15                 5.92                   86.90%
Jan '98         5.15                 5.8                    88.80%
Feb.'98         5.2                  5.92                   87.80%
Mar '98         5.25                 5.93                   88.50%
Apr '98         5.35                 5.95                   89.90%
</TABLE>
<PAGE>   2
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
LETTER TO THE SHAREHOLDERS April 30, 1998, continued
 
12 months the insured index yield has declined from 5.75 percent. The yield on
one-year notes was 3.75 percent at the end of April 1998. Thus, the yield pickup
for extending maturities from 1 to 30 years was 160 basis points.
 
The overall decline in interest rates led to an increase in new-issue municipal
volume. In contrast, the federal deficit has shrunk and the U.S. Treasury's
borrowing needs have declined. Under these conditions, the municipal rally
lagged the rally in Treasuries. The ratio of municipal yields to Treasury yields
improved from 87 percent in October to almost 90 percent in April. A year ago
the ratio was a relatively rich 83 percent. A rising ratio means that municipals
have underperformed Treasuries but have become relatively more attractive.
 
Total municipal volume increased 20 percent in 1997. New-issue supply totaled
$220 billion last year, with half the underwritings enhanced with bond
insurance. Overall, refundings represented one-quarter of total new issues. New
York new-issue underwriting represented 12 percent of national volume. For the
year-to-date, municipal underwriting is up 60 percent with refunding issues
comprising one-third of the total.
 
PERFORMANCE
 
During the six-month period ended April 30, 1998, the Trust's net asset value
(NAV) increased from $14.08 to $14.16. Based on this NAV change plus
reinvestment of tax-free dividends totaling $0.345 per share, the Trust's total
NAV return was 3.28 percent. IQN's price on the New York Stock Exchange declined
from $12.6875 to $12.5625 per share. Based on this change in market price plus
reinvestment of dividends, the Trust's total market return was 1.68 percent. On
April 30, 1998, IQN was trading at a 11.28 percent discount to NAV. This means
the market price of the common stock was lower than the NAV.
 
Monthly dividends for the second quarter of 1998 were declared in March and
remained unchanged at $0.0575 per share. The level of undistributed net
investment income increased from $0.093 to $0.108 per share over the past six
months.
 
The Trust's procedure for reinvestment of all dividends and distributions on
common shares is through purchases in the open market. This method helps to
support the market value of the Trust's shares. In addition, we would like to
remind you that the Trustees have approved a procedure whereby the Trust may,
when appropriate, purchase shares in the open market or in privately negotiated
transactions at a price not above market value or net asset value, whichever is
lower at the time of purchase. During the six-month period ended April 30, 1998,
the Trust purchased and retired 22,000 shares of common stock


                                        2
<PAGE>   3
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
LETTER TO THE SHAREHOLDERS April 30, 1998, continued
 
                                    

<TABLE>
<CAPTION>
LARGEST SECTORS as of April 30, 1998
(% of Net Assets)
<S>                      <C>
All Others               21%
Hospital                 16%
Education                15%
General Obligation       10%
Mortgage                  9%
Transportation            9%
Refunded                  7%
Nursing & Health          7%
IDR/PCR*                  6%
</TABLE>

*Industrial Development/Pollution Control Revenue

Portfolio structure is subject to change.

<TABLE>
<CAPTION>
CREDIT RATINGS as of April 30, 1998
(% of Total Lon-Term Portfolio)
<S>             <C>
A or A          36%
Aaa or AAA      28%
Baa or BBB      19%
Aa or AA        17%
</TABLE>

As measured by Moody's Investors Service, Inc. or Standard & Poor's Corp.

Portfolio structure is subject to change

<TABLE>    
<CAPTION>  
CALL STRUCTURE as of April 30, 1998
(% of Total Long-Term Portfolio)                           WEIGHTED AVERAGE
Percent Callable                                       CALL PROTECTION: 6 YEARS

YEARS BONDS CALLABLE

<S>          <C>
1999          0%
2000          0%
2001          0%
2002          2%
2003         57%
2004         23%
2005          1%
2006          5%
2007          0%
2008          7%
2009+         5%
</TABLE>

Portfolio structure is subject to change.


                                        3
<PAGE>   4
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
LETTER TO THE SHAREHOLDERS April 30, 1998, continued
 
at a weighted average market discount of 9.92 percent. The Trust may also
utilize procedures to reduce or eliminate the amount of outstanding Auction Rate
Preferred Shares (ARPS), including their purchase in the open market or in
privately negotiated transactions.
 
PORTFOLIO STRUCTURE
 
The Trust remained fully invested in long-term municipal bonds during the
period. Investments were diversified among 14 long-term sectors and 29 credits.
IQN's weighted average maturity and call protection were 19 and 6 years,
respectively. Throughout the fiscal period, high credit quality was maintained,
with over 80 percent of IQN's long-term holdings rated single "A" or better.
 
THE IMPACT OF LEVERAGING
 
As discussed in previous reports, the total income available for distribution to
common shareholders includes incremental income provided by the Trust's
outstanding Auction Rate Preferred Shares (ARPS). ARPS dividends reflect
prevailing short-term interest rates on maturities normally ranging from one
week to one year. Incremental income to common shareholders depends on two
factors. The first is the amount of ARPS outstanding, the second the spread
between the portfolio's cost yield and ARPS expenses (ARPS auction rate and
expenses). The greater the spread and the amount of ARPS outstanding, the
greater the amount of incremental income available for distribution to common
shareholders. The level of net investment income available for distribution to
common shareholders varies with the level of short-term interest rates.
 
During the six-month period, ARPS leverage contributed approximately $0.02 per
share to common share earnings. Weekly ARPS yields ranged between 2.95 and 5.00
percent. IQN's two ARPS series totaled $24 million and represented 25 percent of
net assets.
 
LOOKING AHEAD
 
The economic fundamentals are in place for another year of solid, albeit less
spectacular, domestic growth in 1998. Events in Asia have strengthened the U.S.
dollar and contributed to lower interest rates. The Asian financial crisis seems
likely to moderate U.S. economic growth and inflationary pressures. While this
outlook is favorable for municipal bonds it is possible that the Federal Reserve
Board may begin to tighten monetary policy if capacity and labor constraints
cause cost pressures to mount.


                                        4
<PAGE>   5
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
LETTER TO THE SHAREHOLDERS April 30, 1998, continued
 
We appreciate your ongoing support of InterCapital New York Quality Municipal
Securities and look forward to continuing to serve your investment needs.
 
Very truly yours,
 
/s/ CHARLES A. FIUMEFREDDO
CHARLES A. FIUMEFREDDO
Chairman of the Board
                                        5
<PAGE>   6
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
PORTFOLIO OF INVESTMENTS April 30, 1998 (unaudited)
 
<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT IN                                                                 COUPON   MATURITY
THOUSANDS                                                                  RATE      DATE         VALUE
- ----------------------------------------------------------------------------------------------------------
<C>         <S>                                                           <C>      <C>         <C>
            NEW YORK TAX-EXEMPT MUNICIPAL BONDS (97.6%)
            General Obligation (9.6%)
            New York City,
 $ 3,000     1994 Ser C.................................................  5.50 %   10/01/08    $3,091,890
   4,000     1994 Ser D.................................................  5.75     08/15/09     4,168,680
   2,000    Puerto Rico, Pub Impr Refg Ser 1993.........................  5.25     07/01/18     1,965,660
 -------                                                                                       ----------
   9,000                                                                                        9,226,230
 -------                                                                                       ----------
 
            Educational Facilities Revenue (15.4%)
   2,500    New York State, City University - John Jay College Ser 1995
             A COPs.....................................................  6.00     08/15/06     2,673,025
            New York State Dormitory Authority,
   4,000     City University Ser 1993 F.................................  5.50     07/01/12     4,030,280
   1,000     Ithaca College Ser 1998 (AMBAC) (WI).......................  5.00     07/01/21       955,030
   2,200     University of Rochester Ser 1998 A (MBIA)..................  5.00     07/01/18     2,126,608
   5,000     State University Ser 1993 C................................  5.375    05/15/13     5,007,950
 -------                                                                                       ----------
  14,700                                                                                       14,792,893
 -------                                                                                       ----------
 
            Electric Revenue (3.8%)
   4,000    Puerto Rico Electric Power Authority, Power Ser DD (FSA)....  4.50     07/01/19     3,614,360
 -------                                                                                       ----------
 
            Hospital Revenue (16.3%)
   2,000    New York State Dormitory Authority, Rochester General
             Hospital - FHA Insured Mtge Ser 1993.......................  5.70     08/01/33     2,034,220
            New York State Medical Care Facilities Finance Agency,
   3,455     Hospital & Nursing Home - FHA Insured Mtge 1993 Ser B......  5.50     02/15/22     3,472,068
   4,000     Hospital & Nursing Home - FHA Insured Mtge 1993 Ser A......  5.90     08/15/33     4,106,720
   4,000     Presbyterian Hospital - FHA Insured Mtge Ser 1994 A........  5.25     08/15/14     3,999,680
   2,000     St Lukes-Roosevelt Hospital - FHA Insured Mtge Ser A.......  5.625    08/15/18     2,029,060
 -------                                                                                       ----------
  15,455                                                                                       15,641,748
 -------                                                                                       ----------
 
            Industrial Development/Pollution Control Revenue (6.2%)
            New York State Energy Research & Development Authority,
   3,000     Consolidated Edison Co of New York Inc Refg Ser 1993-B.....  5.25     08/15/20     2,915,310
   3,000     New York State Electric & Gas Co Ser A (AMT)...............  5.95     12/01/27     3,073,860
 -------                                                                                       ----------
   6,000                                                                                        5,989,170
 -------                                                                                       ----------
 
            Mortgage Revenue - Multi-Family (5.4%)
   3,000    New York City Housing Development Corporation, FHA Insured
             Mtge Ser 1993-B............................................  5.85     05/01/26     3,072,570
   1,975    New York State Housing Finance Agency, Mortgage 1996 Ser A
             Refg (FSA).................................................  6.10     11/01/15     2,128,240
 -------                                                                                       ----------
   4,975                                                                                        5,200,810
 -------                                                                                       ----------
 
            Mortgage Revenue - Single Family (3.6%)
   3,500    New York State Mortgage Agency, Homeowner Ser 29 A..........  5.25     04/01/15     3,480,435
 -------                                                                                       ----------
</TABLE>
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                        6
<PAGE>   7
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
PORTFOLIO OF INVESTMENTS April 30, 1998 (unaudited) continued
 
<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT IN                                                                 COUPON   MATURITY
THOUSANDS                                                                  RATE      DATE         VALUE
- ----------------------------------------------------------------------------------------------------------
<C>         <S>                                                           <C>      <C>         <C>
            Nursing & Health Related Facilities Revenue (7.3%)
 $ 2,990    New York State Dormitory Authority, Department of Health Ser
             1993.......................................................  5.70 %   07/01/09    $ 3,106,371
            New York Medical Care Facilities Finance Agency,
   2,000     Mental Health 1993 Ser F...................................  5.375    02/15/14      1,988,260
   2,000     Mental Health 1993 Ser D...................................  5.25     08/15/23      1,931,960
 -------                                                                                        ----------
   6,990                                                                                         7,026,591
 -------                                                                                        ----------
 
            Public Facilities Revenue (4.2%)
   4,000    New York State Dormitory Authority, Court Facilities Ser
             1993 A.....................................................  5.625    05/15/13      4,056,720
 -------                                                                                        ----------
 
            Tax Allocation (2.0%)
   2,000    Grand Central District Management Association Inc, Cap Impr
 -------     Refg Ser 1994..............................................  5.25     01/01/22      1,928,980
                                                                                                ----------
 
            Transportation Facilities Revenue (9.1%)
   1,000    Buffalo & Fort Erie Public Bridge Authority, Toll Bridge Ser
             1995 (MBIA)................................................  5.75     01/01/25      1,034,380
   3,000    New York State Thruway Authority, Local Hwy & Bridge Ser
             1993.......................................................  5.125    04/01/08      3,012,870
   3,000    Triborough Bridge & Tunnel Authority, Ser 1993 B**..........  5.00     01/01/20      2,903,400
   2,000    Puerto Rico Highway & Transportation Authority, Ser A.......  4.75     07/01/38      1,805,500
 -------                                                                                        ----------
   9,000                                                                                         8,756,150
 -------                                                                                        ----------
 
            Water & Sewer Revenue (4.2%)
            New York City Municipal Water Finance Authority,
   2,000     1993 Ser A.................................................  5.50     06/15/11      2,044,660
   2,000     1994 Ser B.................................................  5.50     06/15/19      2,009,220
 -------                                                                                        ----------
   4,000                                                                                         4,053,880
 -------                                                                                        ----------
 
            Other Revenue (3.1%)
   3,000    New York Local Government Assistance Corporation, Ser 1993 B
             Refg.......................................................  5.50     04/01/21      3,011,820
 -------                                                                                        ----------
 
            Refunded (7.4%)
   2,600    New York State Power Authority, General Purpose Ser CC......  5.25     01/01/03+     2,741,414
   4,000    United Nations Development Corporation, Sr Lien 1992 Refg
             Ser A......................................................  6.00     07/01/03+     4,362,480
 -------                                                                                        ----------
   6,600                                                                                         7,103,894
 -------                                                                                        ----------
  93,220    TOTAL NEW YORK TAX-EXEMPT MUNICIPAL BONDS (Identified Cost $91,552,507).........
- --------                                                                                        93,883,681
                                                                                               -----------
</TABLE>
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                        7
<PAGE>   8
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
PORTFOLIO OF INVESTMENTS April 30, 1998 (unaudited) continued
 
<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT IN                                                                 COUPON   MATURITY
THOUSANDS                                                                  RATE      DATE         VALUE
- ----------------------------------------------------------------------------------------------------------
<C>         <S>                                                           <C>      <C>         <C>
 
            NEW YORK TAX-EXEMPT SHORT-TERM MUNICIPAL OBLIGATIONS (2.0%)
 $ 1,500    New York State Energy Research & Development Authority, New
             York Electric & Gas Corp Ser 1994 D (Demand 05/01/98)......  4.05*%   10/01/29    $ 1,500,000
     400    Syracuse Industrial Development Agency, Syracuse University
             Egger Hall Ser 1993 (Demand 05/01/98)......................  4.10*    03/01/23        400,000
 -------                                                                                       -----------
 
   1,900    TOTAL NEW YORK TAX-EXEMPT SHORT-TERM MUNICIPAL OBLIGATIONS
- --------     (Identified Cost $1,900,000)...................................................     1,900,000
                                                                                               -----------
 
 $95,120    TOTAL INVESTMENTS (Identified Cost $93,452,507) (a)....................    99.6%
 =======
                                                                                                95,783,681
 
            CASH AND OTHER ASSETS IN EXCESS OF LIABILITIES...........................   0.4        431,248
                                                                                      -----    -----------
 
            NET ASSETS..............................................................  100.0%   $96,214,929
                                                                                      =====    ===========
</TABLE>
 
- ---------------------
 
<TABLE>
<C>  <S>
AMT   Alternative Minimum Tax.
COPs  Certificates of Participation.
WI    Security purchased on a "when-issued" basis.
 +    Prerefunded to call date shown.
 *    Current coupon of variable rate demand obligation.
**    A portion of this security is segregated in connection with
      the purchase of a "when-issued" security.
(a)   The aggregate cost for federal income tax purposes
      approximates identified cost. The aggregate gross unrealized
      appreciation is $2,522,767 and the aggregate gross
      unrealized depreciation is $191,593, resulting in net
      unrealized appreciation of $2,331,174.
 
Bond Insurance:
- ---------------
AMBAC AMBAC Indemnity Corporation.
FSA   Financial Security Assurance Inc.
MBIA  Municipal Bond Investors Assurance Corporation.
</TABLE>
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                        8
<PAGE>   9
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
FINANCIAL STATEMENTS
 
<TABLE>
<S>                                         <C>
 
STATEMENT OF ASSETS AND LIABILITIES
April 30, 1998 (unaudited)
 
ASSETS:
Investments in securities, at value
 (identified cost $93,452,507)............  $95,783,681
Cash......................................       53,952
Receivable for:
    Interest..............................    1,387,743
    Investments sold......................       25,000
Deferred organizational expenses..........        2,890
Prepaid expenses..........................       25,135
                                            -----------
 
    TOTAL ASSETS..........................   97,278,401
                                            -----------
 
LIABILITIES:
Payable for:
    Investments purchased.................      967,770
    Investment management fee.............       31,771
    Dividends to preferred shareholders...        6,855
Accrued expenses..........................       57,076
                                            -----------
 
    TOTAL LIABILITIES.....................    1,063,472
                                            -----------
    NET ASSETS............................   96,214,929
                                            ===========
COMPOSITION OF NET ASSETS:
Preferred shares of beneficial interest
 (1,000,000 shares authorized of
 non-participating $.01 par value, 480
 shares outstanding)......................   24,000,000
                                            -----------
Common shares of beneficial interest
 (unlimited shares authorized of $.01 par
 value, 5,100,613 shares outstanding).....   72,458,347
Net unrealized appreciation...............    2,331,174
Accumulated undistributed net investment
 income...................................      552,699
Accumulated net realized loss.............   (3,127,291)
                                            -----------
 
    NET ASSETS APPLICABLE TO COMMON
     SHAREHOLDERS.........................   72,214,929
                                            -----------
 
    TOTAL NET ASSETS......................  $96,214,929
                                            ===========
 
NET ASSET VALUE PER COMMON SHARE
 ($72,214,929 divided by 5,100,613 common
 shares outstanding)......................       $14.16
                                            ===========
 
STATEMENT OF OPERATIONS
For the six months ended April 30, 1998
 (unaudited)
NET INVESTMENT INCOME:
 
INTEREST INCOME............................  $2,565,858
                                             ----------
 
EXPENSES
Investment management fee..................     168,903
Professional fees..........................      48,692
Auction commission fees....................      29,926
Shareholder reports and notices............      15,184
Auction agent fees.........................       9,261
Registration fees..........................       8,018
Transfer agent fees and expenses...........       6,658
Organizational expenses....................       3,471
Custodian fees.............................       2,858
Trustees' fees and expenses................       1,360
Other......................................       8,133
                                             ----------
 
    TOTAL EXPENSES.........................     302,464

Less: expense offset.......................      (2,822)
                                             ----------
 
    NET EXPENSES...........................     299,642
                                             ----------
 
    NET INVESTMENT INCOME..................   2,266,216
                                             ----------
NET REALIZED AND UNREALIZED GAIN:
Net realized gain..........................     289,252
Net change in unrealized appreciation......      21,738
                                             ----------
 
    NET GAIN...............................     310,990
                                             ----------
 
NET INCREASE...............................  $2,577,206
                                             ==========
</TABLE>
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                        9
<PAGE>   10
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
FINANCIAL STATEMENTS, continued
<TABLE>
<CAPTION>
STATEMENT OF CHANGES IN NET ASSETS

                                                       FOR THE SIX      FOR THE YEAR   
                                                       MONTHS ENDED        ENDED         
                                                      APRIL 30, 1998   OCTOBER 31, 1997 
- ---------------------------------------------------------------------------------------
                                                       (unaudited)
<S>                                                    <C>            <C>
INCREASE (DECREASE) IN NET ASSETS:
OPERATIONS:
Net investment income................................   $2,266,216       $4,628,648
Net realized gain (loss).............................      289,252          (22,490)
Net change in unrealized appreciation/depreciation...       21,738        4,725,514
                                                       -----------      -----------
 
    NET INCREASE.....................................    2,577,206        9,331,672
                                                       -----------      -----------
 
DIVIDENDS TO SHAREHOLDERS FROM NET INVESTMENT INCOME:
Preferred............................................     (429,275)        (808,176)
Common...............................................   (1,762,163)      (3,595,364)
                                                       -----------      -----------
 
    TOTAL............................................   (2,191,438)      (4,403,540)
                                                       -----------      -----------
Decrease from transactions in common shares of
 beneficial interest.................................     (281,391)      (1,867,629)
                                                       -----------      -----------
 
    NET INCREASE.....................................      104,377        3,060,503
 
NET ASSETS:
Beginning of period..................................   96,110,552       93,050,049
                                                       -----------      -----------
    END OF PERIOD
    (Including undistributed net investment income of
    $552,699 and $477,921, respectively).............  $96,214,929      $96,110,552
                                                       ===========      ===========
</TABLE>
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                       10
<PAGE>   11
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
NOTES TO FINANCIAL STATEMENTS April 30, 1998 (unaudited)
 
1. ORGANIZATION AND ACCOUNTING POLICIES
 
InterCapital New York Quality Municipal Securities (the "Trust") is registered
under the Investment Company Act of 1940, as amended, as a non-diversified,
closed-end management investment company. The Trust's investment objective is to
provide current income which is exempt from federal, New York State and New York
City income taxes. The Trust was organized as a Massachusetts business trust on
March 3, 1993 and commenced operations on September 29, 1993.
 
The preparation of financial statements in accordance with generally accepted
accounting principles requires management to make estimates and assumptions that
affect the reported amounts and disclosures. Actual results could differ from
those estimates.
 
The following is a summary of significant accounting policies:
 
A. VALUATION OF INVESTMENTS -- Portfolio securities are valued by an outside
independent pricing service approved by the Trustees. The pricing service has
informed the Trust that in valuing the portfolio securities, it uses both a
computerized matrix of tax-exempt securities and evaluations by its staff, in
each case based on information concerning market transactions and quotations
from dealers which reflect the bid side of the market each day. The portfolio
securities are thus valued by reference to a combination of transactions and
quotations for the same or other securities believed to be comparable in
quality, coupon, maturity, type of issue, call provisions, trading
characteristics and other features deemed to be relevant. Short-term debt
securities having a maturity date of more than sixty days at time of purchase
are valued on a mark-to-market basis until sixty days prior to maturity and
thereafter at amortized cost based on their value on the 61st day. Short-term
debt securities having a maturity date of sixty days or less at the time of
purchase are valued at amortized cost.
 
B. ACCOUNTING FOR INVESTMENTS -- Security transactions are accounted for on the
trade date (date the order to buy or sell is executed). Realized gains and
losses on security transactions are determined by the identified cost method.
The Trust amortizes premiums and accretes discounts over the life of the
respective securities. Interest income is accrued daily.
 
C. FEDERAL INCOME TAX STATUS -- It is the Trust's policy to comply with the
requirements of the Internal Revenue Code applicable to regulated investment
companies and to distribute all of its taxable and nontaxable income to its
shareholders. Accordingly, no federal income tax provision is required.
 
D. DIVIDENDS AND DISTRIBUTIONS TO SHAREHOLDERS -- The Trust records dividends
and distributions to its shareholders on the ex-dividend date. The amount of
dividends and distributions from net
 
                                       11
<PAGE>   12
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
NOTES TO FINANCIAL STATEMENTS April 30, 1998 (unaudited) continued
 
investment income and net realized capital gains are determined in accordance
with federal income tax regulations which may differ from generally accepted
accounting principles. These "book/tax" differences are either considered
temporary or permanent in nature. To the extent these differences are permanent
in nature, such amounts are reclassified within the capital accounts based on
their federal tax-basis treatment; temporary differences do not require
reclassification. Dividends and distributions which exceed net investment income
and net realized capital gains for financial reporting purposes but not for tax
purposes are reported as dividends in excess of net investment income or
distributions in excess of net realized capital gains. To the extent they exceed
net investment income and net realized capital gains for tax purposes, they are
reported as distributions of paid-in-capital.
 
E. ORGANIZATIONAL EXPENSES -- Dean Witter InterCapital Inc. (the "Investment
Manager") paid the organizational expenses of the Trust's common shares in the
amount of $35,000 which have been reimbursed for the full amount thereof. Such
expenses have been deferred and are being amortized by the straight-line method
over a period not to exceed five years from the commencement of operations.
 
2. INVESTMENT MANAGEMENT AGREEMENT
 
Pursuant to an Investment Management Agreement, the Trust pays the Investment
Manager a management fee, calculated weekly and payable monthly, by applying the
annual rate of 0.35% to the Trust's weekly net assets.
 
Under the terms of the Agreement, in addition to managing the Trust's
investments, the Investment Manager maintains certain of the Trust's books and
records and furnishes, at its own expense, office space, facilities, equipment,
clerical, bookkeeping and certain legal services and pays the salaries of all
personnel, including officers of the Trust who are employees of the Investment
Manager. The Investment Manager also bears the cost of telephone services, heat,
light, power and other utilities provided to the Trust.
 
3. SECURITY TRANSACTIONS AND TRANSACTIONS WITH AFFILIATES
 
The cost of purchases and proceeds from sales of portfolio securities, excluding
short-term investments, for the six months ended April 30, 1998 aggregated
$8,654,410 and $8,751,645, respectively.
 
                                       12
<PAGE>   13
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
NOTES TO FINANCIAL STATEMENTS April 30, 1998 (unaudited) continued
 
Morgan Stanley Dean Witter Trust FSB, an affiliate of the Investment Manager, is
the Trust's transfer agent. At April 30, 1998, the Trust had transfer agent fees
and expenses payable of approximately $700.
 
4. PREFERRED SHARES OF BENEFICIAL INTEREST
 
The Trust is authorized to issue up to 1,000,000 non-participating preferred
shares of beneficial interest having a par value of $.01 per share, in one or
more series, with rights as determined by the Trustees, without approval of the
common shareholders. The Trust has issued Series 1 and 2 Auction Rate Preferred
Shares ("Preferred Shares") which have a liquidation value of $50,000 per share
plus the redemption premium, if any, plus accumulated but unpaid dividends,
whether or not declared, thereon to the date of distribution. The Trust may
redeem such shares, in whole or in part, at the original purchase price of
$50,000 per share plus accumulated but unpaid dividends, whether or not
declared, thereon to the date of redemption.
 
Dividends, which are cumulative, are reset through auction procedures.
 
<TABLE>
<CAPTION>
                   AMOUNT IN             RESET         RANGE OF
SERIES   SHARES*   THOUSANDS*   RATE*     DATE     DIVIDEND RATES**
- ------   -------   ----------   -----   --------   ----------------
<S>      <C>       <C>          <C>     <C>        <C>
  1        260      $13,000     4.35%   05/05/98    3.00% - 4.35%
  2        220       11,000     3.25    05/01/98    2.95  - 5.00
</TABLE>
 
- ---------------------
 
 * As of April 30, 1998.
** For the six months ended April 30, 1998.
 
Subsequent to April 30, 1998 and up through June 5, 1998, the Trust paid
dividends to Series 1 and 2 at rates ranging from 3.20% to 4.06%, in the
aggregate amount of $86,104.
 
The Trust is subject to certain restrictions relating to the preferred shares.
Failure to comply with these restrictions could preclude the Trust from
declaring any distributions to common shareholders or purchasing common shares
and/or could trigger the mandatory redemption of preferred shares at liquidation
value.
 
The preferred shares, which are entitled to one vote per share, generally vote
with the common shares but vote separately as a class to elect two Trustees and
on any matters affecting the rights of the preferred shares.
 
                                       13
<PAGE>   14
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
NOTES TO FINANCIAL STATEMENTS April 30, 1998 (unaudited) continued
 
5. COMMON SHARES OF BENEFICIAL INTEREST
 
Transactions in common shares of beneficial interest were as follows:
 
<TABLE>
<CAPTION>
                                                                                        CAPITAL
                                                                                        PAID IN
                                                                                       EXCESS OF
                                                               SHARES     PAR VALUE    PAR VALUE
                                                              ---------   ---------   -----------
<S>                                                           <C>         <C>         <C>
Balance, October 31, 1996...................................  5,282,113    $52,821    $74,554,546
Treasury shares purchased and retired (weighted average
 discount 13.07%)*..........................................   (159,500)    (1,595)    (1,866,034)
                                                              ---------    -------    -----------
Balance, October 31, 1997...................................  5,122,613     51,226     72,688,512
Treasury shares purchased and retired (weighted average
 discount 9.918%)*..........................................    (22,000)      (220)      (281,171)
                                                              ---------    -------    -----------
Balance, April 30, 1998.....................................  5,100,613    $51,006    $72,407,341
                                                              =========    =======    ===========
</TABLE>
 
- ---------------------
 
* The Trustees have voted to retire the shares purchased.
 
6. FEDERAL INCOME TAX STATUS
 
At October 31, 1997, the Trust had a net capital loss carryover of approximately
$3,416,000 to offset future capital gains to the extent provided by regulations,
which will be available through October 31 of the following years:
 
<TABLE>
<CAPTION>
    AMOUNT IN THOUSANDS
- ---------------------------
 2002    2003   2004   2005
- ------   ----   ----   ----
<S>      <C>    <C>    <C>
$2,208   $854   $332   $22
======   ====   ====   ===
</TABLE>
 
7. DIVIDENDS TO COMMON SHAREHOLDERS
 
On March 24, 1998, the Trust declared the following dividends from net
investment income:
 
<TABLE>
<CAPTION>
 AMOUNT        RECORD        PAYABLE
PER SHARE       DATE          DATE
- ---------   ------------  -------------
<S>         <C>           <C>
 $0.0575    May 8, 1998   May 22, 1998
 $0.0575    June 5, 1998  June 19, 1998
</TABLE>
 
                                       14
<PAGE>   15
 
INTERCAPITAL NEW YORK QUALITY MUNICIPAL SECURITIES
 
FINANCIAL HIGHLIGHTS
 
Selected ratios and per share data for a common share of beneficial interest
outstanding throughout each period:
 
<TABLE>
<CAPTION>
                                                                                                                FOR THE PERIOD
                                        FOR THE SIX                 FOR THE YEAR ENDED OCTOBER 31**           SEPTEMBER 29, 1993*
                                        MONTHS ENDED        -----------------------------------------------         THROUGH
                                      APRIL 30, 1998**        1997          1996          1995       1994     OCTOBER 31, 1993**
- ---------------------------------------------------------------------------------------------------------------------------------
                                        (unaudited)
<S>                                   <C>                   <C>           <C>           <C>        <C>        <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of
 period.............................       $ 14.08          $ 13.07        $12.86        $10.90     $13.99           $14.06
                                           -------          -------        ------        ------     ------           ------
Net investment income...............          0.45             0.89          0.88          0.87       0.92             0.03
Net realized and unrealized gain
 (loss).............................          0.05             0.92          0.15          1.98      (2.98)           (0.04)
                                           -------          -------        ------        ------     ------           ------
Total from investment operations....          0.50             1.81          1.03          2.85      (2.06)           (0.01)
                                           -------          -------        ------        ------     ------           ------
Less dividends from:
   Net investment income............         (0.35)           (0.69)        (0.72)        (0.73)     (0.72)              --
   Common share equivalent of
   dividends paid to  preferred
   shareholders.....................         (0.08)           (0.16)        (0.16)        (0.16)     (0.17)              --
                                           -------          -------        ------        ------     ------           ------
Total dividends.....................         (0.43)           (0.85)        (0.88)        (0.89)     (0.89)              --
                                           -------          -------        ------        ------     ------           ------
Anti-dilutive effect of acquiring
 treasury shares....................          0.01             0.05          0.06            --         --               --
                                           -------          -------        ------        ------     ------           ------
Offering costs charged against
 capital............................            --               --            --            --      (0.14)           (0.06)
                                           -------          -------        ------        ------     ------           ------
Net asset value, end of period......       $ 14.16          $ 14.08        $13.07        $12.86     $10.90           $13.99
                                           =======          =======        ======        ======     ======           ======
Market value, end of period.........       $12.563          $12.688        $11.25        $11.25     $ 9.75           $15.25
                                           =======          =======        ======        ======     ======           ======
TOTAL INVESTMENT RETURN+............          1.68%(1)        19.65%         6.52%        23.58%    (32.18)%           1.67%(1)
 
RATIOS TO AVERAGE NET ASSETS OF
COMMON SHAREHOLDERS:
Total expenses......................          0.83%(2)(3)      0.89%(3)      0.93%(3)      0.99%      1.08%            0.67%(2)
Net investment income before
 preferred stock dividends..........          6.24%(2)         6.64%         6.74%         7.31%      7.31%            2.55%(2)
Preferred stock dividends...........          1.18%(2)         1.16%         1.22%         1.37%      1.31%             N/A
Net investment income available to
 common shareholders................          5.06%(2)         5.48%         5.52%         5.94%      6.00%            2.55%(2)
 
SUPPLEMENTAL DATA:
Net assets, end of period, in
 thousands..........................       $96,215          $96,111       $93,050       $94,591    $92,671          $80,529
Asset coverage on preferred shares
 at end of period...................           401%             400%          389%          394%       297%             N/A
Portfolio turnover rate.............             9%(1)           --             5%            1%        17%              --
</TABLE>
 
- ---------------------
 *   Commencement of operations.
 **  The per share amounts were computed using an average number of shares
     outstanding during the period.
 +   Total investment return is based upon the current market value on the last
     day of each period reported. Dividends are assumed to be reinvested at the
     prices obtained under the Trust's dividend reinvestment plan. Total
     investment return does not reflect brokerage commissions.
(1)  Not annualized.
(2)  Annualized.
(3)  Does not reflect the effect of expense offset of 0.01%.
 
                       SEE NOTES TO FINANCIAL STATEMENTS
                                       15
<PAGE>   16
TRUSTEES
- -------------------------------------------------
Michael Bozic
Charles A. Fiumefreddo
Edwin J. Garn
John R. Haire
Wayne E. Hedien
Dr. Manuel H. Johnson
Michael E. Nugent
Philip J. Purcell
John L. Schroeder


OFFICERS
- -------------------------------------------------
Charles A. Fiumefreddo
Chairman and Chief Executive Officer

Barry Fink
Vice President, Secretary and General Counsel

James F. Willison
Vice President

Thomas F. Caloia
Treasurer


TRANSFER AGENT
- -------------------------------------------------
Morgan Stanley Dean Witter Trust FSB
Harborside Financial Center - Plaza Two
Jersey City, New Jersey 07311

INDEPENDENT ACCOUNTANTS
- -------------------------------------------------
Price Waterhouse LLP
1177 Avenue of the Americas
New York, New York 10036

INVESTMENT MANAGER
- -------------------------------------------------
Dean Witter InterCapital Inc.
Two World Trade Center
New York, New York 10048



The financial statements included herein have been taken from the records of
the Trust without examination by the independent accountants and accordingly 
they do not express an opinion thereon.



INTERCAPITAL
NEW YORK
QUALITY
MUNICIPAL
SECURITIES



Semiannual Report
April 30, 1998


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