INTERCAPITAL QUALITY MUNICIPAL SECURITIES TRUST
N-30D, 1995-06-26
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<PAGE>
                   INTERCAPITAL QUALITY MUNICIPAL SECURITIES
                             Two World Trade Center
                            New York, New York 10048

DEAR SHAREHOLDER:
- --------------------------------------------------------------------------------

    Fixed-income  market conditions have steadily improved since late last year.
Bonds began to rally in November 1994 on signs of slower economic growth in  the
wake  of a  progressively tighter  Federal Reserve  monetary policy.  The recent
trend toward lower  long-term interest rates  is in marked  contrast to most  of
1994  when rapidly rising rates created one  of the most severe bear markets for
bonds in recent history.

MUNICIPAL MARKET CONDITIONS

    Long-term municipal bond yields, as tracked  by THE BOND BUYER Revenue  Bond
Index*,  dropped from a high of 7.37 percent in November 1994 to 6.29 percent at
the end of April 1995. This 108  basis point decline in yield corresponded to  a
13  percent  price increase  for 30-year  municipal bonds.  Short-term municipal
interest rates remained basically unchanged over the past six months. Thus,  the
yield  spread  or difference  between  short-term and  long-term  municipal bond
interest rates narrowed as long rates declined.

    The seasonal  demand  for  municipals  in  December  more  than  offset  the
uncertainty  caused  by the  Orange  County, California  bankruptcy  filing. The
market anticipated  cash  inflows  from  the reinvestment  of  coupons  and  the
proceeds  from bond calls and maturities in  January at a time of scarce supply.
Tax-exempt bonds outperformed  U.S. Treasury  bonds through  February 1995.  The
ratio  of the Revenue Bond  Index yield to the  30-year U.S. Treasury yield fell
from a high of 92 percent  in November to 84 percent  at the end of February.  A
declining  ratio means that  municipal bond prices have  been stronger than U.S.
Treasury prices. Tax reform  proposals that advanced the  concept of a flat  tax
were  partially responsible  for municipals underperforming  Treasuries in March
and April. By the end of April, the Revenue/Treasury yield ratio had risen to 86
percent.

    The pace of new-issue underwriting over the first four months of 1995 was 40
percent below  the  same  period  last year.  With  bond  maturities  and  calls
estimated  to exceed new issues coming to  market in 1995 the outstanding supply
of municipal securities is expected  to decline. This imbalance should  continue
to strengthen municipal market conditions.

PERFORMANCE

    The net asset value (NAV) of InterCapital Quality Municipal Securities (IQM)
increased  from $10.83  to $12.09  per share during  the six  month period ended
April 30, 1995. Based on this NAV change plus reinvestment of tax-free dividends
totaling $0.38 per share, the Trust's total NAV return for the period was  15.94
percent.  Concurrently, the Trust's market price  on the New York Stock Exchange
rose from $9.50  to $10.375  per share.  Based on  this stock  price change  and
reinvestment  of dividends, the  Trust's total market return  for the period was
13.42 percent. The Trust began the period trading at a 12.3 percent discount  to
NAV and closed at a 14.2 percent discount.

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

*THE  BOND BUYER Revenue Bond Index is an arithmetic average of the yields of 25
 selected municipal revenue  bonds with  30-year maturities.  Credit ratings  of
 these  bonds range  from Aa1 to  Baa1 by  Moody's and AA+  to A-  by Standard &
 Poor's.
<PAGE>
PORTFOLIO STRUCTURE

    As of April 30, 1995, the IQM's long-term investments were diversified among
12 specific  municipal sectors  and  49 issuers.  The  four largest  sectors  --
industrial  development/pollution control revenue, general obligation, water and
sewer revenue and  public facilities revenue  -- represented 51  percent of  net
assets.  The  average  maturity and  call  protection of  the  Trust's long-term
holdings were 23 years and 9 years, respectively. At the end of the period,  the
Trust's  net  assets totaled  $361 million.  The  credit-quality ratings  of the
Trust's long-term portfolio are summarized below:

<TABLE>
<CAPTION>
MOODY'S OR STANDARD & POOR'S RATING                                                      PERCENT
- ------------------------------------------------------------------------------------  -------------
<S>                                                                                   <C>
Aaa or AAA..........................................................................          23%
Aa or AA............................................................................          31
A or A..............................................................................          46
</TABLE>

THE IMPACT OF LEVERAGING

    The Trust's common shares continue to be leveraged. As reported  previously,
leverage  is  created  through the  issuance  of auction  rate  preferred shares
(ARPS). The ARPS auction periods normally  range between one week and one  year.
Proceeds  from  ARPS underwritings  are  used to  purchase  additional long-term
municipal bonds. Following the payment of ARPS dividends, the common shares earn
incremental income  when the  portfolio yield  is higher  than the  cost of  the
preferred  shares (dividend  plus operating and  remarketing expenses). Although
higher short-term interest rates have narrowed the yield spread this year,  ARPS
continue to provide positive incremental income to common shareholders.

    Leverage  also  impacts  NAV.  ARPS  normally  account  for  one-third  of a
leveraged fund's  underwritten capital  structure.  This produces  a  volatility
factor  for common  shares of 1.5  times the price  change of bonds  held in the
portfolio. Since the value of the  preferred shares does not fluctuate, the  NAV
of  the common shares reflects  the full market price  change of the portfolio's
investments.

    As bond  prices  eroded  in  1994 the  degree  of  leverage  and  volatility
increased. The purchase and retirement of ARPS mitigated the impact of leverage.
However,  as bonds rallied in 1995, leverage improved performance. Over the last
six months, the Trust purchased and retired  $40 million in par amount of  ARPS.
Currently, $97 million ARPS are outstanding. Additional ARPS purchases may occur
if  ARPS become unprofitable  (negative yield spread) or  the degree of leverage
increases beyond its normal range.

DIVIDEND RESERVES

    To more accurately reflect the income being earned by the Trust, on  January
27,  1995 the monthly dividend was reduced from $0.07 to $0.06 per share. At the
end of April 1995, the Trust  had undistributed net investment income of  $0.044
per share available for future distributions. This dividend reserve or "cushion"
helps sustain the Trust's current monthly dividend. Higher yields in future ARPS
auctions  and ARPS retirements  may further erode the  cushion. Declines in this
cushion may cause the Trust to adjust the common-share dividend.

LOOKING AHEAD

    Slower economic growth in 1995 and the extent of the Federal Reserve Board's
previous interest rate  moves have improved  bond market expectations.  Investor
demand  for municipal  securities should also  be sustained  by significant bond
maturities, calls  for  redemption  and diminished  new-issue  supply.  Changing
market  conditions and the profitability of ARPS are among the factors that will
continue to  determine the  Trust's future  level of  income and  influence  its
market price.
<PAGE>
    The Trust's procedure for reinvestment of all dividends and distributions on
common  shares is  through purchase  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, when
appropriate, may 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, 1995,
the Trust  purchased  753,700 shares  of  common  stock at  a  weighted  average
discount  of 10.77 percent. The  Trust may also utilize  procedures to reduce or
eliminate the amount of outstanding ARPS,  including their purchase in the  open
market or in privately negotiated transactions.

    We  appreciate  your  ongoing  support  of  InterCapital  Quality  Municipal
Securities and look forward to continuing to serve your investment needs.

                                          Very truly yours,

                                                      [SIG]
                                          Charles A. Fiumefreddo
                                          CHAIRMAN OF THE BOARD
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
PORTFOLIO OF INVESTMENTS APRIL 30, 1995 (UNAUDITED)
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT (IN                                                                            COUPON    MATURITY
THOUSANDS)                                                                             RATE       DATE         VALUE
- ----------                                                                          ----------  ---------  --------------
<C>         <S>                                                                     <C>         <C>        <C>
            MUNICIPAL BONDS (96.9%)
            GENERAL OBLIGATION (13.8%)
$  10,000   Florida Board of Education, Cap Outlay Refg 1993 Ser D................       5.125%  06/01/18  $    8,766,400
    5,000   De Kalb County, Georgia, Refg 1993....................................       5.25    01/01/20       4,420,400
   10,000   Washington Suburban Sanitation District, Maryland, Gen Constr Refg
              1993 Second Ser.....................................................       5.25    06/01/14       9,175,000
            New York City, New York,                                                          .75
   10,000     1994 Ser D..........................................................       5       08/15/08       9,304,200
    5,000   1994 Ser C............................................................       5.50    10/01/10       4,432,550
   15,000   Seattle, Washington, Refg Ser 1993....................................       5.65    01/01/20      13,785,600
                                                                                                           --------------
- ----------
                                                                                                               49,884,150
   55,000
                                                                                                           --------------
- ----------
            EDUCATIONAL FACILITIES REVENUE (7.3%)
    3,500   Georgetown University, District of Columbia, Ser 1993.................       5.25    04/01/13       2,994,320
            Illinois Educational Facilities Authority,                                        .70
    4,695     Illinois Wesleyan University Ser 1993...............................       5       09/01/23       4,166,859
    4,955   Northwestern University Refg Ser 1993.................................       5.375   12/01/21       4,361,193
            Massachusetts Health & Educational Facilities Authority,                          .25
   10,000     Boston College Ser K................................................       5       06/01/18       8,852,400
    3,000   Wentworth Institute of Technology Ser B (Connie Lee)..................       5.50    10/01/23       2,680,560
    3,500   Pennsylvania Higher Educational Facilities Authority, Thomas
              Jefferson University 1993 Ser A.....................................       5.30    11/01/15       3,155,845
                                                                                                           --------------
- ----------
                                                                                                               26,211,177
   29,650
                                                                                                           --------------
- ----------
            ELECTRIC REVENUE (6.4%)
    5,900   South Carolina Public Service Authority, 1993 Refg Ser A (MBIA).......       5.50    07/01/21       5,382,157
   10,000   Chelan County Public Utility District #1, Washington, Hydro
              Refg Ser 1993 G.....................................................       5.375   06/01/18       8,695,800
   10,000   Snohomish County Public Utilities District #1, Washington,
              Ser 1993 B (AMT)....................................................       5.80    01/01/24       9,082,000
                                                                                                           --------------
- ----------
                                                                                                               23,159,957
   25,900
                                                                                                           --------------
- ----------
            HOSPITAL REVENUE (8.8%)
    8,000   Indiana Health & Educational Facilities Authority, Wellborn Memorial
              Baptist Hospital Refg Ser 1993......................................       5.50    07/01/14       7,057,600
    3,500   Maine Health & Higher Educational Facilities Authority,
              Ser 1993 D (FSA)....................................................       5.50    07/01/18       3,141,180
   10,000   Missouri Health & Educational Facilities Authority, Barnes
              Jewish Inc / Christian Health Services Ser 1993 A...................       5.25    05/15/14       8,946,200
   10,000   Fairfax County Industrial Development Authority, Virginia, Inova
              Health System Foundation Refg Ser 1993 A............................       5.25    08/15/19       8,837,100
    4,500   Wisconsin Health & Educational Facilities Authority, Catholic Health
              Corp Ser 1993.......................................................       5.375   11/15/13       3,893,400
                                                                                                           --------------
- ----------
                                                                                                               31,875,480
   36,000
                                                                                                           --------------
- ----------
<PAGE>
</TABLE>

INTERCAPITAL QUALITY MUNICIPAL SECURITIES
PORTFOLIO OF INVESTMENTS APRIL 30, 1995 (UNAUDITED) (CONTINUED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT (IN                                                                            COUPON    MATURITY
THOUSANDS)                                                                             RATE       DATE         VALUE
- ----------                                                                          ----------  ---------  --------------
<C>         <S>                                                                     <C>         <C>        <C>
            INDUSTRIAL DEVELOPMENT/POLLUTION CONTROL REVENUE (13.8%)
$  10,000   Valdez, Alaska, BP Pipeline Inc Ser 1993 B............................       5.50 %  10/01/28  $    8,789,100
   10,000   Hawaii Department of Budget & Finance, Hawaiian Electric Co Inc Ser
              1993 (AMT) (MBIA)...................................................       5.45    11/01/23       8,844,900
    4,000   Calvert County, Maryland, Baltimore Gas & Electric Co Refg Ser 1993...       5.55    07/15/14       3,731,160
   10,000   New York State Energy Research & Development Authority, Consolidated
              Edison Co of New York Inc Refg Ser 1993 B...........................       5.25    08/15/20       8,634,100
    5,000   Brazos River Authority, Texas, Houston Lighting & Power Co Ser 1993
              (MBIA)..............................................................       5.60    12/01/17       4,666,300
    5,000   Marshall County, West Virginia, Ohio Power Co Ser B (MBIA)............       5.45    07/01/14       4,598,000
   10,000   Weston, Wisconsin, Wisconsin Public Service Co Refg Ser 1993 A........       6.90    02/01/13      10,576,400
                                                                                                           --------------
- ----------
                                                                                                               49,839,960
   54,000
                                                                                                           --------------
- ----------
            MORTGAGE REVENUE - MULTI-FAMILY (4.6%)
    5,000   Illinois Housing Development Authority, 1993 Ser A....................       5.90    07/01/12       4,832,050
   13,310   Wisconsin Housing & Economic Development Authority, 1993 Ser A........       5.55    11/01/15      11,943,729
                                                                                                           --------------
- ----------
                                                                                                               16,775,779
   18,310
                                                                                                           --------------
- ----------
            MORTGAGE REVENUE - SINGLE FAMILY (5.7%)
   10,000   Alaska Housing Finance Corporation, Insured 1993 First Ser............       5.90    12/01/33       9,193,600
    3,830   Connecticut Housing Finance Authority, 1993 Subseries F-1.............       5.60    05/15/11       3,620,614
    8,700   Kentucky Housing Corporation, Federally Insured or Guaranteed Loans
              1993 Ser B..........................................................       5.40    07/01/14       7,888,377
                                                                                                           --------------
- ----------
                                                                                                               20,702,591
   22,530
                                                                                                           --------------
- ----------
            PUBLIC FACILITIES REVENUE (9.9%)
   12,000   California Public Works Board, Correctional 1993 Ser D COPs...........       5.375   06/01/18      10,473,720
    4,000   Maine Municipal Bond Bank, 1993 Ser E.................................       5.30    11/01/13       3,647,880
    5,000   St Paul Housing & Redevelopment Authority, Minnesota, Civic Center Ser
              1993................................................................       5.45    11/01/13       4,611,150
    7,000   Kansas City School District Building Corporation, Missouri, Elementary
              Ser 1993 D (FGIC)...................................................       5.00    02/01/14       6,210,260
            Regional Convention & Sports Complex Authority, Missouri,
    2,000     Refg Ser B 1993.....................................................       5.50    08/15/13       1,823,380
   10,000   Refg Ser A 1993.......................................................       5.60    08/15/17       9,000,900
                                                                                                           --------------
- ----------
                                                                                                               35,767,290
   40,000
                                                                                                           --------------
- ----------
            RESOURCE RECOVERY REVENUE (2.4%)
    9,000   Northeast Maryland Waste Disposal Authority, Montgomery County Ser
              1993 A (AMT)........................................................       6.30    07/01/16       8,743,050
                                                                                                           --------------
- ----------
            TRANSPORTATION FACILITIES REVENUE (9.1%)
   15,000   Chicago, Illinois, Chicago - O'Hare Intl Airport Refg 1993 Ser A......       5.00    01/01/16      12,777,300
    5,000   Wayne County, Michigan, Detroit Metropolitan Wayne County Airport Sub
              Lien Ser 1993 C (MBIA)..............................................       5.25    12/01/13       4,536,100
    4,000   Rhode Island Port Authority & Economic Development Corporation, TF
              Green State Airport 1993 Ser A (AMT) (FSA)..........................       5.25    07/01/23       3,366,240
   10,000   Texas Turnpike Authority, Dallas North Tollway Refg
              Ser 1993 (MBIA).....................................................       5.00    01/01/20       8,537,300
    4,175   Virginia Transportation Board, US Route 58 Corridor Ser 1993 B........       5.50    05/15/18       3,804,594
                                                                                                           --------------
- ----------
                                                                                                               33,021,534
   38,175
                                                                                                           --------------
- ----------
<PAGE>
</TABLE>

INTERCAPITAL QUALITY MUNICIPAL SECURITIES
PORTFOLIO OF INVESTMENTS APRIL 30, 1995 (UNAUDITED) (CONTINUED)
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
PRINCIPAL
AMOUNT (IN                                                                            COUPON    MATURITY
THOUSANDS)                                                                             RATE       DATE         VALUE
- ----------                                                                          ----------  ---------  --------------
<C>         <S>                                                                     <C>         <C>        <C>
            WATER & SEWER REVENUE (13.1%)
$   5,000   Phoenix Civic Improvement Corporation, Arizona, Wastewater Refg Ser
              1993................................................................       5.00 %  07/01/18  $    4,223,600
    5,000   Los Angeles County Sanitation Districts Financing Authority,
              California, 1993 Ser A..............................................       5.25    10/01/19       4,372,000
    5,000   Atlanta, Georgia, Water & Sewer Ser 1993..............................       5.00    01/01/15       4,369,100
            Louisville  & Jefferson County  Metropolitan Sewer District, Kentucky,
    3,000   Ser 1993 A (MBIA).....................................................       5.50    05/15/21       2,781,210
    5,000   Ser 1993 B (MBIA).....................................................       5.50    05/15/23       4,624,300
   10,000   Massachusetts Water Resources Authority, 1993 Ser C...................       5.25    12/01/20       8,741,900
    5,000   New York City Municipal Water Finance Authority,
              New York, 1994 Ser B................................................       5.50    06/15/19       4,501,000
   10,000   Philadelphia, Pennsylvania, Water & Wastewater Ser 1993 (CGIC)........       5.50    06/15/14       9,369,900
    5,000   Norfolk, Virginia, Water Ser 1993 (AMBAC).............................       5.375   11/01/23       4,531,500
                                                                                                           --------------
- ----------
                                                                                                               47,514,510
   53,000
                                                                                                           --------------
- ----------
            OTHER REVENUE (2.0%)
    8,000   New York Local Government Assistance Corporation, Ser 1993 C..........       5.50    04/01/18       7,264,560
                                                                                                           --------------
- ----------
  389,565   TOTAL MUNICIPAL BONDS (IDENTIFIED COST $382,881,535).........................................     350,760,038
                                                                                                           --------------
- ----------
            SHORT-TERM MUNICIPAL OBLIGATION (1.1%)
    4,100   East Baton Rouge, Louisiana, Exxon Corp (Tender 05/01/95)
- ----------
            (Identified Cost $4,100,000)..........................................       4.90*   03/01/22       4,100,000
                                                                                                           --------------
$ 393,665   TOTAL INVESTMENTS (IDENTIFIED COST $386,981,535) (A)..................     98.0  %    354,860,038
- ----------
- ----------
            CASH AND OTHER ASSETS IN EXCESS OF LIABILITIES........................      2.0         7,042,827
                                                                                       -------   ------------
            NET ASSETS............................................................     100.0 %   $361,902,865
                                                                                       -------   ------------
                                                                                       -------   ------------
<FN>
- ----------------
BOND INSURANCE:
AMBAC AMBAC INDEMNITY CORPORATION.
CGIC CAPITAL GUARANTY INSURANCE COMPANY.
CONNIE CONNIE LEE INSURANCE COMPANY.
LEE
FGIC FINANCIAL GUARANTY INSURANCE COMPANY.
FSA  FINANCIAL SECURITY ASSURANCE INC.
MBIA MUNICIPAL BOND INVESTORS ASSURANCE CORPORATION.

AMT  ALTERNATIVE MINIMUM TAX.
COPS CERTIFICATES OF PARTICIPATION.
 *   VARIABLE OR FLOATING RATE SECURITY. COUPON RATE SHOWN REFLECTS CURRENT
     RATE.
(A)  THE AGGREGATE COST FOR FEDERAL INCOME TAX PURPOSES IS $386,981,535; THE
     AGGREGATE GROSS AND NET UNREALIZED DEPRECIATION IS $32,121,497.
</TABLE>

                       SEE NOTES TO FINANCIAL STATEMENTS
<PAGE>
                       GEOGRAPHIC SUMMARY OF INVESTMENTS
                Based on Market Value as a Percent of Net Assets
                           APRIL 30, 1995 (UNAUDITED)

<TABLE>
<S>                        <C>    <C>                        <C>
Alaska...................    5.0% Massachusetts............    5.6%
Arizona..................    1.2  Michigan.................    1.3
California...............    4.1  Minnesota................    1.3
Connecticut..............    1.0  Missouri.................    7.2
District of Columbia.....    0.8  New York.................    9.4
Florida..................    2.4  Pennsylvania.............    3.5
Georgia..................    2.4  Rhode Island.............    0.9
Hawaii...................    2.4  South Carolina...........    1.5
Illinois.................    7.2  Texas....................    3.6
Indiana..................    2.0  Virginia.................    4.7
Kentucky.................    4.2  Washington...............    8.7
Louisiana................    1.1  West Virginia............    1.3
Maine....................    1.9  Wisconsin................    7.3
Maryland.................    6.0  Total....................   98.0%
</TABLE>
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------
STATEMENT OF ASSETS AND LIABILITIES
APRIL 30, 1995 (UNAUDITED)
- --------------------------------------------------------------------------------

<TABLE>
<S>                                         <C>
ASSETS:
Investments in securities, at value
  (identified cost $386,981,535)..........  $ 354,860,038
Cash......................................        136,515
Interest receivable.......................      7,185,626
Deferred organizational expenses..........         24,602
Prepaid expenses..........................         86,581
                                            -------------
        TOTAL ASSETS......................    362,293,362
                                            -------------
LIABILITIES:
Payable for:
  Common shares of beneficial interest
    purchased.............................        166,480
  Investment management fee...............        106,196
Accrued expenses..........................        117,821
                                            -------------
        TOTAL LIABILITIES.................        390,497
                                            -------------
NET ASSETS:
Preferred shares of beneficial interest,
  (1,000,000 shares authorized of non-
  participating $.01 par value, 1,940
  shares outstanding).....................     97,000,000
                                            -------------
Common shares of beneficial interest,
  (unlimited shares authorized of $.01 par
  value, 21,909,413 shares outstanding)...    310,668,237
Net unrealized depreciation...............    (32,121,497)
Accumulated undistributed net investment
  income..................................        967,935
Accumulated net realized loss.............    (14,611,810)
                                            -------------
        NET ASSETS APPLICABLE TO COMMON
          SHAREHOLDERS....................    264,902,865
                                            -------------
        TOTAL NET ASSETS..................  $ 361,902,865
                                            -------------
                                            -------------
NET ASSET VALUE PER COMMON SHARE,
  ($264,902,865 divided by 21,909,413
  common shares outstanding)..............
                                                   $12.09
                                            -------------
                                            -------------
</TABLE>

STATEMENT OF OPERATIONS FOR THE SIX MONTHS ENDED APRIL 30, 1995 (UNAUDITED)

<TABLE>
<S>                                          <C>
NET INVESTMENT INCOME:
  INTEREST INCOME..........................  $ 10,889,405
                                             ------------
  EXPENSES
    Investment management fee..............       612,329
    Auction commission fees................       132,903
    Transfer agent fees and expenses.......        65,735
    Professional fees......................        56,317
    Shareholder reports and notices........        41,293
    Auction agent fees.....................        41,224
    Registration fees......................        19,926
    Trustees' fees and expenses............        15,727
    Organizational expenses................         3,569
    Other..................................        21,141
                                             ------------
      TOTAL EXPENSES.......................     1,010,164
                                             ------------
      NET INVESTMENT INCOME................     9,879,241
                                             ------------
NET REALIZED AND UNREALIZED GAIN (LOSS):
    Net realized loss......................    (2,760,962)
    Net change in unrealized
    depreciation...........................    30,245,252
                                             ------------
      NET GAIN.............................    27,484,290
                                             ------------
      NET INCREASE.........................  $ 37,363,531
                                             ------------
                                             ------------
</TABLE>

<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
FINANCIAL STATEMENTS (CONTINUED)
- --------------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS
- --------------------------------------------------------------------------------

<TABLE>
<CAPTION>
                                                                          FOR THE SIX MONTHS
                                                                                 ENDED             FOR THE YEAR
                                                                            APRIL 30, 1995            ENDED
                                                                              (UNAUDITED)        OCTOBER 31, 1994
                                                                        -----------------------  ----------------
<S>                                                                     <C>                      <C>
INCREASE (DECREASE) IN NET ASSETS:
  Operations:
    Net investment income.............................................       $   9,879,241        $   23,266,284
    Net realized loss.................................................          (2,760,962)          (11,850,848)
    Net change in unrealized depreciation.............................          30,245,252           (61,511,487)
                                                                        -----------------------  ----------------
        Net increase (decrease).......................................          37,363,531           (50,096,051)
                                                                        -----------------------  ----------------
  Dividends to shareholders from net investment income:
    Common............................................................          (8,463,771)          (18,002,867)
    Preferred.........................................................          (1,949,438)           (4,439,878)
                                                                        -----------------------  ----------------
        Total.........................................................         (10,413,209)          (22,442,745)
                                                                        -----------------------  ----------------
  Transactions in shares of beneficial interest:
    Common............................................................          (7,425,564)          (16,066,208)
    Preferred.........................................................         (40,200,000)          137,200,000
                                                                        -----------------------  ----------------
        Total transactions............................................         (47,625,564)          121,133,792
                                                                        -----------------------  ----------------
        Total increase (decrease).....................................         (20,675,242)           48,594,996
NET ASSETS:
  Beginning of period.................................................         382,578,107           333,983,111
                                                                        -----------------------  ----------------
  END OF PERIOD (including undistributed net investment income of
   $967,935 and $1,501,903, respectively).............................       $ 361,902,865        $  382,578,107
                                                                        -----------------------  ----------------
                                                                        -----------------------  ----------------
</TABLE>

                       SEE NOTES TO FINANCIAL STATEMENTS
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)
- --------------------------------------------------------------------------------

1.  ORGANIZATION  AND  ACCOUNTING  POLICIES  --  InterCapital  Quality Municipal
Securities (the "Trust") is registered under the Investment Company Act of 1940,
as amended,  as a  diversified, closed-end  management investment  company.  The
Trust  was organized as a Massachusetts business  trust on March 3, 1993 and had
no  operations  until  September   29,  1993  other   than  those  relating   to
organizational  matters and  the issuance of  7,113 common  shares of beneficial
interest to Dean Witter InterCapital Inc. (the "Investment Manager").

    The following is a summary of significant accounting policies:

    A.  VALUATION  OF INVESTMENTS  -- Portfolio  securities are  valued for  the
    Trust  by an outside  independent pricing service  approved by the Trustees.
    The pricing  service has  informed the  Trust that  in valuing  the  Trust's
    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 Trust's 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 on securities
    purchased 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 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 AND  OFFERING COSTS --  The Investment  Manager
    paid  the organizational expenses  and offering costs  of the Trust's common
    shares in the amounts of $36,000 and
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)(CONTINUED)
- --------------------------------------------------------------------------------
    $537,034, respectively. The organizational  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. Offering costs were  charged
    to capital at the time of issuance of the Trust's respective shares.

2.  INVESTMENT  MANAGEMENT AGREEMENT  --  Pursuant to  an  Investment Management
Agreement, the Trust pays  its Investment Manager  a management fee,  calculated
weekly  and payable monthly, by applying the annual rate of 0.35% to the Trust's
average weekly net assets.

    Under the terms of the  Agreement, 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, 1995  aggregated  $-0-  and
$14,847,196, respectively.

    Dean  Witter Trust Company,  an affiliate of the  Investment Manager, is the
Trust's transfer agent. At April 30, 1995, the Trust had transfer agent fees and
expenses payable of approximately $14,000.

    The Trust adopted an unfunded  noncontributory defined benefit pension  plan
covering  all  independent  Trustees  of  the  Trust  who  will  have  served as
independent Trustees for at least five years at the time of retirement. Benefits
under this plan are based on years  of service and compensation during the  last
five  years of service. Aggregate  pension costs for the  six months ended April
30, 1995 included in Trustees' fees and expenses in the Statement of  Operations
amounted  to  $5,951.  At April  30,  1995,  the Trust  had  an  accrued pension
liability of $15,753 which is included  in accrued expenses in the Statement  of
Assets and Liabilities.

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. On November 16,
1993, the Trust issued 3,500 shares of Auction Rate Preferred Shares ("Preferred
Shares") consisting of  700 shares  each of Series  One through  Five for  gross
total proceeds of $175,000,000. The preferred shares 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.
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)(CONTINUED)
- --------------------------------------------------------------------------------

    During the six months ended April 30, 1995, the Trust purchased and  retired
preferred shares as follows:

<TABLE>
<CAPTION>
   SERIES        SHARES         AMOUNT
   ------      -----------  --------------
<S>            <C>          <C>
          1           104   $    5,200,000
          2           300       15,000,000
          3           100        5,000,000
          5           300       15,000,000
</TABLE>

    Dividends, which are cumulative, are reset through auction procedures.

<TABLE>
<CAPTION>
                                           RESET    RANGE OF DIVIDEND
  SHARES*       SERIES         RATE*       DATE          RATES**
- -----------     ------      -----------  ---------  -----------------
<S>          <C>            <C>          <C>        <C>
       340             1         4.30%    5/01/95     2.88% - 5.88%
       300             2         4.13     5/02/95      3.00 - 6.15
       300             3         4.50     5/03/95      2.88 - 6.20
       600             4         4.30     5/01/95      3.41 - 4.38
       400             5         4.32     5/01/95      3.19 - 6.00
<FN>
- --------------
 *  AS OF APRIL 30, 1995.
**  FOR THE SIX MONTHS ENDED APRIL 30, 1995.
</TABLE>

    Subsequent  to April  30, 1995 and  up through  May 9, 1995,  the Trust paid
dividends to each of the Series 1, 2, 3, 4 and 5 at rates ranging from 4.03%  to
4.45%,  3.90% to  4.40%, 4.00% to  4.50%, 4.10%  to 4.38% and  4.125% to 4.339%,
respectively, in the aggregate amount of $474,641.

    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.
<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
NOTES TO FINANCIAL STATEMENTS (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 PAR
                                                                         SHARES       PAR VALUE        VALUE
                                                                      -------------  -----------  ----------------
<S>                                                                   <C>            <C>          <C>
Balance (Note 1)....................................................          7,113  $        71  $         99,938
Shares issued at close of public offering on September 29, 1993*....     21,000,000      210,000       294,482,000
Shares issued on October 12, 1993 and October 27, 1993 to cover
 over-allotment.....................................................      2,800,000       28,000        39,340,000
                                                                      -------------  -----------  ----------------
Balance, October 31, 1993...........................................     23,807,113      238,071       333,921,938
Adjustment to estimated offering costs associated with the initial
 public offering of the common shares...............................       --            --                 30,966
Offering costs and underwriting discounts associated with the
 issuance of preferred shares.......................................       --            --             (2,957,829)
Treasury shares purchased and retired (weighted average discount
 6.36%)**...........................................................     (1,144,000)     (11,440)      (13,127,905)
                                                                      -------------  -----------  ----------------
Balance, October 31, 1994...........................................     22,663,113      226,631       317,867,170
Treasury shares purchased and retired (weighted average discount
 10.77%)**..........................................................       (753,700)      (7,537)       (7,418,027)
                                                                      -------------  -----------  ----------------
Balance, April 30, 1995.............................................     21,909,413  $   219,094  $    310,449,143
                                                                      -------------  -----------  ----------------
                                                                      -------------  -----------  ----------------
<FN>
- --------------
 *  NET OF ESTIMATED OFFERING COSTS OF $568,000.
**  THE TRUSTEES HAVE VOTED TO RETIRE THE SHARES PURCHASED.
</TABLE>

6. FEDERAL INCOME TAX STATUS -- At October 31, 1994, the Trust had a net capital
loss  carryover  of approximately  $11,851,000 which  will be  available through
October 31,  2002 to  offset future  capital  gains to  the extent  provided  by
regulations.

7.  DIVIDENDS TO  COMMON SHAREHOLDERS  -- The  Trust has  declared the following
dividends from net investment income:

<TABLE>
<CAPTION>
                   AMOUNT PER
DECLARATION DATE      SHARE        RECORD DATE       PAYABLE DATE
- -----------------  -----------  -----------------  -----------------
<S>                <C>          <C>                <C>
   April 25, 1995   $    0.06        May  5, 1995       May 19, 1995
    June  6, 1995        0.06       June 16, 1995      June 30, 1995
</TABLE>

<PAGE>
INTERCAPITAL QUALITY MUNICIPAL SECURITIES
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)(CONTINUED)
- --------------------------------------------------------------------------------

8. SELECTED QUARTERLY FINANCIAL DATA --

<TABLE>
<CAPTION>
                                                                                        QUARTERS ENDED
                                                                          ------------------------------------------
                                                                                4/30/95               1/31/95
                                                                          --------------------  --------------------
                                                                           TOTAL*    PER SHARE   TOTAL*    PER SHARE
                                                                          ---------  ---------  ---------  ---------
<S>                                                                       <C>        <C>        <C>        <C>
Total investment income.................................................  $   5,315  $    0.24  $   5,574  $    0.25
Net Investment income...................................................      4,823       0.22      5,056       0.23
Net realized and unrealized gain........................................     15,065       0.69     12,419       0.59
</TABLE>

<TABLE>
<CAPTION>
                                                                          QUARTERS ENDED
                                     ----------------------------------------------------------------------------------------
                                           10/31/94               7/31/94                4/30/94               1/31/94
                                     ---------------------  --------------------  ---------------------  --------------------
                                       TOTAL*    PER SHARE   TOTAL*    PER SHARE    TOTAL*    PER SHARE   TOTAL*    PER SHARE
                                     ----------  ---------  ---------  ---------  ----------  ---------  ---------  ---------
<S>                                  <C>         <C>        <C>        <C>        <C>         <C>        <C>        <C>
Total investment income............  $    6,554  $    0.28  $   6,635  $    0.28  $    6,744  $    0.29  $   5,784  $    0.24
Net investment income..............       5,902       0.25      6,025       0.26       6,121       0.26      5,218       0.22
Net realized and unrealized gain
 (loss)............................     (30,689)     (1.31)     4,029       0.17     (57,675)     (2.43)    10,973       0.46
</TABLE>

<TABLE>
<CAPTION>
                                                                                                 QUARTER ENDED
                                                                                              --------------------
                                                                                                   10/31/93+
                                                                                              --------------------
                                                                                               TOTAL*    PER SHARE
                                                                                              ---------  ---------
<S>                                                                                           <C>        <C>
Total investment income.....................................................................  $     809  $    0.03
Net investment income.......................................................................        678       0.03
Unrealized loss.............................................................................       (855)     (0.04)
<FN>
- --------------
*  TOTALS EXPRESSED IN THOUSANDS.
+   FOR THE  PERIOD  SEPTEMBER 29,  1993  (COMMENCEMENT OF  OPERATIONS)  THROUGH
OCTOBER 31, 1993.
</TABLE>
<PAGE>
INTERCAPITAL 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
                             FOR THE SIX                       PERIOD
                            MONTHS ENDED    FOR THE YEAR    SEPTEMBER 29,
                              APRIL 30,         ENDED       1993* THROUGH
                               1995**        OCTOBER 31,     OCTOBER 31,
                             (UNAUDITED)       1994**           1993
                            -------------   -------------   -------------
<S>                         <C>             <C>             <C>
PER SHARE OPERATING
 PERFORMANCE:
Net asset value, beginning
 of period................  $  10.83        $  14.03        $  14.06
                            -------------   -------------   -------------
Net investment income.....      0.45            0.99            0.03
Net realized and
 unrealized gain (loss)...      1.28           (3.11)          (0.04)
                            -------------   -------------   -------------
Total from investment
 operations...............      1.73           (2.12)          (0.01)
                            -------------   -------------   -------------
Less dividends and
 distributions from:
  Net investment income...     (0.38)          (0.77)          --
  Common share equivalent
   of dividends paid to
   preferred
   shareholders...........     (0.09)          (0.19)          --
                            -------------   -------------   -------------
Total dividends and
 distributions............     (0.47)          (0.96)          --
Offering costs charged
 against capital..........     --              (0.12)          (0.02)
                            -------------   -------------   -------------
Net asset value, end of
 period...................  $  12.09        $  10.83        $  14.03
                            -------------   -------------   -------------
                            -------------   -------------   -------------
Market value, end of
 period...................  $ 10.375        $   9.50        $ 15.125
                            -------------   -------------   -------------
                            -------------   -------------   -------------
TOTAL INVESTMENT
 RETURN+..................     13.42%(1)      (32.98)%          0.83%(1)
RATIOS/SUPPLEMENTAL DATA:
Net assets, end of period
 (in thousands)...........  $361,903        $382,578        $333,983
Ratios to average net
 assets of common
 shareholders:
  Total expenses..........      0.81%(2)        0.83%           0.48%(2)
  Net investment income
   before preferred stock
   dividends..............      7.90%(2)        7.85%           2.51%(2)
  Preferred stock
   dividends..............      1.56%(2)        1.50%            N/A
  Net investment income
   available to common
   shareholders...........      6.34%(2)        6.35%           2.51%(2)
Asset coverage on
 preferred shares at end
 of period................       373%            278%            N/A
Portfolio turnover rate...         0%             21%              0%
</TABLE>

<TABLE>
<C>  <S>
- --------------
 *   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 AND DISTRIBUTIONS ARE ASSUMED TO BE
     REINVESTED AT THE PRICES OBTAINED UNDER THE TRUST'S DIVIDEND REINVESTMENT
     PLAN. TOTAL INVESTMENT RETURN DOES NOT REFLECT SALES CHARGES OR BROKERAGE
     COMMISSIONS.
(1)  NOT ANNUALIZED.
(2)  ANNUALIZED.
</TABLE>

                       SEE NOTES TO FINANCIAL STATEMENTS

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

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.
<PAGE>
                 (This page has been left blank intentionally.)
<PAGE>

INTERCAPITAL
QUALITY
MUNICIPAL
SECURITIES

SEMIANNUAL REPORT
APRIL 30, 1995

TRUSTEES
- ---------------------------------------
Jack F. Bennett
Michael Bozic
Charles A. Fiumefreddo
Edwin J. Garn
John R. Haire
Dr. Manuel H. Johnson
Paul Kolton
Michael E. Nugent
Philip J. Purcell
John L. Schroeder

OFFICERS
- ---------------------------------------
Charles A. Fiumefreddo
CHAIRMAN AND CHIEF EXECUTIVE OFFICER

Sheldon Curtis
VICE PRESIDENT, SECRETARY AND GENERAL COUNSEL

James F. Willison
VICE PRESIDENT

Thomas F. Caloia
TREASURER

TRANSFER AGENT
- ---------------------------------------
Dean Witter Trust Company
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


INTERCAPITAL QUALITY MUNICIPAL SECURITIES


SEMIANNUAL REPORT
APRIL 30, 1995



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