HIGH INCOME ADVANTAGE TRUST III
N-30D, 1995-03-24
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<PAGE>   1
 
                        HIGH INCOME ADVANTAGE TRUST III
                             Two World Trade Center
                            New York, New York 10048
DEAR SHAREHOLDER:
--------------------------------------------------------------------------------
 
     The fiscal year ended January 31, 1995 was disappointing for all
fixed-income markets, including the high-yield bond market, as questions
regarding the strength of the economy, inflation prospects, interest rate levels
and possible further Federal Reserve Board moves created a great deal of
uncertainty for the financial markets. High-yield investors, concerned over
rising interest rates and possible further tightening moves by the Federal
Reserve Board, remained nervous throughout most of the year, contributing to the
significant downturn in bond prices. In addition, a rather large amount of
new-issue supply in a year of weak demand also added to the market weakness.
 
     This weakness was reflected in High Income Advantage Trust III's
fiscal-year performance. For the 12 months ended January 31, 1995, the Trust's
total return was -6.30 percent, based on its closing market value on the New
York Stock Exchange (NYSE) of $6.50 per share. Based on its net asset value
(NAV) of $6.12 per share on January 31, 1995, the Trust's total return for the
fiscal year was -9.68 percent.
 
     As of January 31, 1995, the Trust had net assets in excess of $78 million.
Over the past 12 months, the Trust continued to distribute regular income
dividends at a rate of 0.06 per share per month. For the full fiscal year,
income dividends totaled approximately 0.767 per share, including an extra
income dividend of 0.047 per share paid on December 23, 1994.
 
INVESTMENT STRATEGY
 
     The Trust entered 1994 positioned quite defensively as rising yields on
U.S. Treasury securities had begun to reduce the relative attractiveness of
high-yield securities, narrowing their yield advantage. In addition, given the
high-yield market's strength early in the year, attractively priced discount
issues were becoming increasingly difficult to find. In light of this, the Trust
positioned nearly half of its assets in very defensive, high-coupon,
short-duration issues; this structure served as a cushion during the market's
1994 first quarter decline.
 
     During the second quarter of 1994, the Trust became a buyer as bond prices
receded to more attractive levels. At this point, despite the fact that
corporate credit quality in most cases remained strong, B-rated issues could be
purchased at 12 to 13 percent yield levels, versus the 10 percent levels that
existed earlier in the year and at significant discounts to par (face) value.
The Trust maintained its buying activity during the second half of 1994 with an
increased emphasis on discounted issues, which possess more upside opportunity
for the Trust when the high-yield market rebounds. While the Trust's portfolio,
overall, is positioned for a recovery in the high-yield market, it still retains
a sizeable exposure to various defensive securities, in order to provide the
flexibility needed to take advantage of any interim opportunities that may
arise.
 
MARKET OUTLOOK
 
     Given our outlook for slower, albeit continued economic growth, we find
today's B-rated issues -- now yielding more than 600 basis points (6 percent)
above U.S. Treasury securities and trading at steep discounts -- offer excellent
long-term return potential. Over the near term, we expect continued volatility
<PAGE>   2
 
in the financial markets as investors assess the economy's strength, the future
direction of interest rates and possible Federal Reserve Board actions. However,
despite this potential short-term weakness, we consider today's high-yield
market to be an attractive long-term opportunity for investors. Current high-
yield issues provide an exceptionally attractive yield advantage over U.S.
Treasury securities, with the opportunity for substantial capital appreciation
if the high-yield market rebounds.
 
     We would like to remind you that the Trustees have approved a procedure
whereby the Trust, when appropriate, may repurchase 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.
 
     We thank you for your continued support of High Income Advantage Trust III
and look forward to continuing to serve your investment needs.
 
                                          Very truly yours,

                                          CHARLES A. FIUMEFREDDO
                                          --------------------------
                                          Charles A. Fiumefreddo
                                          Chairman of the Board
<PAGE>   3
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1995
--------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Principal
  Amount
    (in                                                                  Coupon      Maturity
 thousands)                                                               Rate         Date           Value
 ---------                                                               -------     ---------     ------------
 <C>          <S>                                                        <C>         <C>           <C>
              CORPORATE BONDS (81.8%)
              AEROSPACE (2.8%)
 $   2,500    Sabreliner Corp. (Series B)............................     12.50 %     04/15/03     $  2,250,000
                                                                                                   ------------
              AIRLINES (3.8%)
     4,000    GPA Delaware, Inc. ....................................      8.75       12/15/98        2,980,000
                                                                                                   ------------
              AUTOMOTIVE (1.0%)
     1,000    Envirotest Systems Corp. ..............................      9.625      04/01/03          765,000
                                                                                                   ------------
              CABLE & TELECOMMUNICATIONS (1.3%)
     2,000    Marcus Cable Co. ......................................     13.50 ++    08/01/04        1,060,000
                                                                                                   ------------
              CHEMICALS (1.3%)
     1,000    Georgia Gulf Corp. ....................................     15.00       04/15/00        1,013,750
                                                                                                   ------------
              COMPUTER EQUIPMENT (2.7%)
     2,000    Unisys Corp. ..........................................     13.50       07/01/97        2,145,000
                                                                                                   ------------
              CONSUMER PRODUCTS (3.1%)
     1,000    Icon Health & Fitness, Inc. (Units)**** - 144A**.........   13.00       07/15/02        1,012,500
     1,000    J.B. Williams Holdings, Inc. ..........................     12.50 *     03/01/04          950,000
       500    Thermoscan, Inc. (Units)**** - 144A**....................   11.75 *     08/15/01          490,000
                                                                                                   ------------
                                                                                                      2,452,500
                                                                                                   ------------
              CONTAINERS (1.1%)
     2,000    Ivex Holdings Corp. (Series B).........................     13.25 ++    03/15/05          840,000
                                                                                                   ------------
              ELECTRICAL & ALARM SYSTEMS (1.9%)
     2,000    Mosler, Inc. ..........................................     11.00       04/15/03        1,480,000
                                                                                                   ------------
              ENTERTAINMENT/GAMING & LODGING (10.8%)
     1,000    Fitzgeralds Gaming Corp. - 144A**......................     13.50 *     03/15/96          551,250
     2,000    Motels of America, Inc. ...............................     12.00       04/15/04        2,025,000
     4,323    Spectravision, Inc. ...................................     11.65 +     12/01/02          729,506
     2,000    Trump Castle Funding, Inc. ............................     11.75       11/15/03        1,140,000
     4,552    Trump Plaza Holding Assoc. ............................     12.50 +     06/15/03        4,051,302
                                                                                                   ------------
                                                                                                      8,497,058
                                                                                                   ------------
              FOODS & BEVERAGES (5.3%)
     2,000    Envirodyne Industries, Inc. ...........................     10.25       12/01/01        1,510,000
     6,000    Specialty Foods Acquisition Corp. (Series B)...........     13.00 ++    08/15/05        2,640,000
                                                                                                   ------------
                                                                                                      4,150,000
                                                                                                   ------------
              FOREST & PAPER PRODUCTS (2.6%)
     2,000    Fort Howard Corp. .....................................     14.125      11/01/04        2,015,000
                                                                                                   ------------
              MANUFACTURING (6.0%)
     2,000    Berry Plastics Corp. ..................................     12.25       04/15/04        1,940,000
     2,000    MS Essex Holdings, Inc. ...............................     16.00 ++    05/15/04        1,950,000
     1,000    Uniroyal Technologies Corp. ...........................     11.75       06/01/03          820,000
                                                                                                   ------------
                                                                                                      4,710,000
                                                                                                   ------------
              MANUFACTURING - DIVERSIFIED (5.5%)
     2,000    Interlake Corp. .......................................     12.125      03/01/02        1,920,000
     1,000    J.B. Poindexter, Inc. .................................     12.50       05/15/04          940,000
     1,000    Jordan Industries, Inc. ...............................     10.375      08/01/03          915,000
     1,000    Jordan Industries, Inc. ...............................     11.75 ++    08/01/05          532,500
                                                                                                   ------------
                                                                                                      4,307,500
                                                                                                   ------------
</TABLE>
<PAGE>   4
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1995 (continued)
--------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Principal
  Amount
    (in                                                                  Coupon      Maturity
 thousands)                                                               Rate         Date           Value
 ---------                                                               -------     ---------     ------------
 <C>          <S>                                                        <C>         <C>           <C>
              OIL & GAS (6.4%)
 $   1,000    Deeptech International, Inc. ..........................     12.00 %     12/15/00     $    920,000
     2,000    Empire Gas Corp. (Units)++.............................      7.00       07/15/04        1,467,500
     3,000    Presidio Oil Co. (Series B)............................     13.675***   07/15/02        2,640,000
     3,275    TGX Corp. (c)..........................................     12.67       04/01/94               33
                                                                                                   ------------
                                                                                                      5,027,533
                                                                                                   ------------
              PUBLISHING (5.9%)
     2,000    Affiliated Newspapers Inv., Inc. ......................     13.25 ++    07/01/06          985,000
     1,900    BFP Holdings, Inc. (Series B)..........................     13.50 ++    04/15/04        1,102,000
     1,000    Garden State Newspapers, Inc. .........................     12.00       07/01/04          970,000
     1,875    U.S. Bancorp...........................................     10.375      06/01/02        1,565,625
                                                                                                   ------------
                                                                                                      4,622,625
                                                                                                   ------------
              RESTAURANTS (7.8%)
     4,000    American Restaurant Group Holdings, Inc. ..............     14.00 ++    12/15/05        1,920,000
     2,000    Carrols Corp. .........................................     11.50       08/15/03        1,845,000
     3,000    Flagstar Corp. ........................................     11.25       11/01/04        2,411,250
                                                                                                   ------------
                                                                                                      6,176,250
                                                                                                   ------------
              RETAIL (6.0%)
     2,000    Cort Furniture Rental Corp. ...........................     12.00       09/01/00        1,890,000
     1,000    County Seat Stores Co. ................................     12.00       10/01/01          985,000
     2,000    Thrifty Payless Holdings, Inc. ........................     12.25       04/15/04        1,895,000
                                                                                                   ------------
                                                                                                      4,770,000
                                                                                                   ------------
              RETAIL - FOOD CHAINS (4.2%)
     1,000    Food 4 Less Holdings, Inc. ............................     15.25 ++    12/15/04          770,000
    10,000    Grand Union Capital Corp. (Series A) (c)...............     15.00 ++    07/15/04          362,500
    20,000    Grand Union Capital Corp. (Series A) (c)...............      0.00       01/15/07          175,000
     2,500    Purity Supreme, Inc. (Series B)........................     11.75       08/01/99        2,043,750
                                                                                                   ------------
                                                                                                      3,351,250
                                                                                                   ------------
              TEXTILES (2.3%)
     2,517    JPS Textiles Group, Inc. ..............................     10.85       06/01/99        1,849,995
                                                                                                   ------------
              TOTAL CORPORATE BONDS
                (IDENTIFIED COST $77,679,880)........................                                64,463,461
                                                                                                   ------------
              CONVERTIBLE BONDS (1.3%)
              RETAIL (1.3%)
     1,000    Federated Department Stores, Inc. .....................      6.00 ++    02/15/04          980,000
                                                                                                   ------------
              TEXTILES (0.0%)
        57    Farley, Inc. ..........................................      0.00       01/01/12            5,788
                                                                                                   ------------
              TOTAL CONVERTIBLE BONDS
                (IDENTIFIED COST $984,424)...........................                                   985,788
                                                                                                   ------------
              U.S. GOVERNMENT OBLIGATION (7.8%)
     6,000    U.S. Treasury Note (Identified Cost $6,215,937)........     12.625      05/15/95        6,111,563
                                                                                                   ------------
</TABLE>
<PAGE>   5
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1995 (continued)
--------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 Number of
  Shares                                                                                              Value
 ---------                                                                                         ------------
 <C>          <S>                                                                                  <C>
              COMMON STOCKS (a) (6.1%)                                  
              BUILDING & CONSTRUCTION (2.2%)
    84,155    USG Corp. (b)...................................................................     $  1,756,736
                                                                                                   ------------
              COMPUTER EQUIPMENT (0.0%)
    95,553    Memorex Telex Corp. (ADR) (b)...................................................           65,693
                                                                                                   ------------
              ENTERTAINMENT/GAMING & LODGING (0.3%)
     2,000    Motels of America, Inc. - 144A**................................................          190,000
    22,350    Spectravision, Inc. (Class B)...................................................            9,778
                                                                                                   ------------
                                                                                                        199,778
                                                                                                   ------------
              FOODS & BEVERAGES (0.3%)
    90,000    Specialty Foods Acquisition Corp. - 144A**......................................          202,500
                                                                                                   ------------
              MANUFACTURING - DIVERSIFIED (2.6%)
   173,377    Thermadyne Holdings Corp. (b)...................................................        2,058,851
                                                                                                   ------------
              PUBLISHING (0.4%)
     2,000    Affiliated Newspapers Inv., Inc. (Class B)......................................           50,000
    15,200    BFP Holdings, Inc. - 144A** (Class D)...........................................          228,000
                                                                                                   ------------
                                                                                                        278,000
                                                                                                   ------------
              RESTAURANTS (0.1%)
     4,000    American Restaurant Group Holdings, Inc. - 144A**...............................           88,000
                                                                                                   ------------
              RETAIL (0.2%)
    38,000    Thrifty Payless Holdings, Inc. (Class C)........................................          171,000
                                                                                                   ------------
              TOTAL COMMON STOCKS
              (IDENTIFIED COST $9,158,561)....................................................        4,820,558
                                                                                                   ------------
 
<CAPTION>
 Number of                                                                           Expiration
 Warrants                                                                              Date
 ---------                                                                           ---------
 <C>          <S>                                                                    <C>           <C>
              WARRANTS (a) (0.7%)                                       
              AEROSPACE (0.0%)
     2,500    Sabreliner Corp. (b)..............................................      04/15/03           25,531
                                                                                                   ------------
              CONTAINERS (0.1%)
     2,000    Crown Packaging Holdings, Ltd. - 144A** (Canada)..................      10/15/03          110,000
                                                                                                   ------------
              ENTERTAINMENT/GAMING & LODGING (0.2%)
     3,263    Casino America, Inc. .............................................      11/15/96            2,039
     1,000    Fitzgeralds Gaming Corp. - 144A**.................................      03/15/99           20,000
       200    Trump Plaza Holding Assoc. .......................................      06/18/96          142,000
                                                                                                   ------------
                                                                                                        164,039
                                                                                                   ------------
              MANUFACTURING (0.1%)
     2,000    BPC Holdings Corp. ...............................................      04/15/04           25,000
    10,000    Uniroyal Technology Corp. ........................................      06/01/03           15,000
                                                                                                   ------------
                                                                                                         40,000
                                                                                                   ------------
              OIL & GAS (0.0%)
     2,760    Empire Gas Corp. .................................................      07/15/04           27,600
                                                                                                   ------------
              RETAIL (0.3%)
     2,000    County Seat Holdings Co. .........................................      10/15/98           50,000
    66,000    New Cort Holdings Corp. ..........................................      09/01/98          165,000
                                                                                                   ------------
                                                                                                        215,000
                                                                                                   ------------
</TABLE>
<PAGE>   6
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1995 (continued)
--------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 Number of                                                                           Expiration
 Warrants                                                                              Date           Value
 ---------                                                                           ---------     ------------
 <C>          <S>                                                                    <C>           <C>
              RETAIL - FOOD CHAINS (0.0%)                              
     6,930    Purity Supreme, Inc. - 144A**.....................................      08/06/97     $        347
                                                                                                   ------------
              TOTAL WARRANTS
              (IDENTIFIED COST $332,177)........................................                        582,517
                                                                                                   ------------
 
<CAPTION>
 Principal
  Amount
    (in                                                                  Coupon      Maturity
 thousands)                                                               Rate         Date
 ---------                                                               -------     ---------
 <C>          <S>                                                        <C>         <C>           <C>
              SHORT-TERM INVESTMENT (0.2%)
              REPURCHASE AGREEMENT (0.2%)
 $     141    The Bank of New York (dated 01/31/95; proceeds
                $140,967; collateralized by $140,736 U.S. Treasury
                Note 8.25% due 07/15/98 valued at $144,384)
                (Identified Cost $140,945)...........................      5.50%      02/01/95          140,945
                                                                                                   ------------
              TOTAL INVESTMENTS
                (IDENTIFIED COST $94,511,924)(d)................................         97.9%       77,104,832
              OTHER ASSETS IN EXCESS OF LIABILITIES.............................           2.1        1,659,803
                                                                                         -----     ------------
              NET ASSETS........................................................        100.0%     $ 78,764,635
                                                                                        ======       ==========
                                                                                        
                                                                                        
</TABLE>
 
---------------
ADR American Depository Receipt.
 
   * Adjustable rate. Rate shown is the rate in effect at January 31, 1995.
 
  ** Resale is restricted to qualified institutional investors.
 
 *** Floating rate. Coupon is linked to the Gas index. Rate shown is the rate in
     effect at January 31, 1995.
 
**** Consists of more than one class of securities traded together as a unit;
     generally bonds with attached stocks/warrants.
 
   + Payment-in-kind securities.
 
  ++ Currently a zero coupon bond and will pay interest at the rate shown at a
     future specified date.
 
 (a) Non-income producing security.
 
 (b) Acquired through exchange offer.
 
 (c) Non-income producing, issuer in bankruptcy.
 
 (d) The aggregate cost for federal income tax purposes is $94,538,084; the
     aggregate gross unrealized appreciation is $1,046,646; and the aggregate
     gross unrealized depreciation is $18,479,898, resulting in net unrealized
     depreciation of $17,433,252.
 
                       See Notes to Financial Statements
<PAGE>   7
 
HIGH INCOME ADVANTAGE TRUST III
FINANCIAL STATEMENTS
--------------------------------------------------------------------------------
 
<TABLE>
<S>                                        <C>
STATEMENT OF ASSETS AND LIABILITIES
January 31, 1995
-----------------------------------------
ASSETS:
Investments in securities, at value
  (identified cost $94,511,924)..........  $  77,104,832
Interest receivable......................      1,776,685
Prepaid expenses and other assets........          2,260
                                           -------------
        TOTAL ASSETS.....................     78,883,777
                                           -------------
LIABILITIES:
Investment management fee payable........         51,800
Accrued expenses and other payables......         67,342
                                           -------------
        TOTAL LIABILITIES................        119,142
                                           -------------
NET ASSETS:
Paid-in-capital..........................    121,076,287
Net unrealized depreciation..............    (17,407,092)
Accumulated undistributed net investment
  income.................................        675,372
Accumulated net realized loss............    (25,579,932)
                                           -------------
        NET ASSETS.......................  $  78,764,635
                                           =============
NET ASSET VALUE PER SHARE,
  12,876,779 shares outstanding
  (unlimited shares authorized of $.01
  par value).............................          $6.12
                                                   =====
                                                   
STATEMENT OF OPERATIONS For the year ended January 31,
  1995
-----------------------------------------
INVESTMENT INCOME:
  INTEREST INCOME........................  $  10,504,487
                                           -------------
  EXPENSES
    Investment management fee............        653,507
    Professional fees....................         70,166
    Transfer agent fees and expenses.....         57,999
    Custodian fees.......................         25,623
    Shareholder reports and notices......         25,583
    Trustees' fees and expenses..........         23,324
    Registration fees....................         22,338
    Organizational expenses..............            786
    Other................................          9,800
                                           -------------
      TOTAL EXPENSES.....................        889,126
                                           -------------
        NET INVESTMENT INCOME............      9,615,361
                                           -------------
NET REALIZED AND UNREALIZED LOSS:
  Net realized loss......................    (12,646,621)
  Net change in unrealized
    depreciation.........................     (5,793,370)
                                           -------------
    TOTAL LOSS...........................    (18,439,991)
                                           -------------
        NET DECREASE.....................  $  (8,824,630)
                                           =============
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
--------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                      For the             For the
                                                                                    year ended           year ended
                                                                                 January 31, 1995     January 31, 1994
                                                                                 -----------------    ----------------
<S>                                                                              <C>                  <C>
INCREASE (DECREASE) IN NET ASSETS:
  Operations:
    Net investment income......................................................    $   9,615,361        $ 10,448,403
    Net realized loss..........................................................      (12,646,621)         (2,451,938)
    Net change in unrealized depreciation......................................       (5,793,370)         14,076,160
                                                                                 -----------------    ----------------
        Net increase (decrease)................................................       (8,824,630)         22,072,625
  Dividends to shareholders from net investment income.........................       (9,876,489)        (10,911,783)
                                                                                 -----------------    ----------------
        Total increase (decrease)..............................................      (18,701,119)         11,160,842
NET ASSETS:
  Beginning of period..........................................................       97,465,754          86,304,912
                                                                                 -----------------    ----------------
  END OF PERIOD (including undistributed net investment income of $675,372 and
    $936,500, respectively)....................................................    $  78,764,635        $ 97,465,754
                                                                                 =================    ================
</TABLE>
 
                       See Notes to Financial Statements
<PAGE>   8
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS
--------------------------------------------------------------------------------
 
1.  ORGANIZATION AND ACCOUNTING POLICIES -- High Income Advantage Trust III (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 November 23, 1988 and commenced operations
on February 28, 1989.
 
     The following is a summary of significant accounting policies:
 
     A. Valuation of Investments -- (1) an equity security listed or traded on
     the New York or American Stock Exchange is valued at its latest sale price
     on that exchange prior to the time when assets are valued (if there were no
     sales that day, the security is valued at the latest bid price); (2) all
     other portfolio securities for which over-the-counter market quotations are
     readily available are valued at the latest available bid price prior to the
     time of valuation; (3) when market quotations are not readily available,
     portfolio securities are valued at their fair value as determined in good
     faith under procedures established by and under the general supervision of
     the Trustees; (4) certain of the Trust's portfolio securities may be valued
     by an outside pricing service approved by the Trustees. The pricing service
     utilizes a matrix system incorporating security quality, maturity and
     coupon as the evaluation model parameters, and/or research and evaluations
     by its staff, including review of broker-dealer market price quotations, in
     determining what it believes is the fair valuation of the portfolio
     securities valued by such pricing service; and (5) short-term debt
     securities having a maturity date of more than sixty days at the 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. Discounts on securities purchased are amortized over the life of
     the respective securities. The Fund does not amortize premiums on
     securities. Interest income is accrued daily except where collection is not
     expected.
 
     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 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 record 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.
<PAGE>   9
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS (continued)
--------------------------------------------------------------------------------
 
     E. Organizational Expenses -- Dean Witter InterCapital Inc. (the
     "Investment Manager") paid the organizational expenses of the Trust in the
     amount of approximately $53,000. The Trust reimbursed the Investment
     Manager for such expenses which were fully amortized as of February 28,
     1994.
 
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 following annual rate of the Trust's
average weekly net assets: 0.75% to the portion of average weekly net assets not
exceeding $250 million; 0.60% to the portion of average weekly net assets
exceeding $250 million but not exceeding $500 million; 0.50% to the portion of
average weekly net assets exceeding $500 million but not exceeding $750 million;
0.40% to the portion of average weekly net assets exceeding $750 million but not
exceeding $1 billion; and 0.30% to the portion of average weekly net assets
exceeding $1 billion.
 
     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 year ended January 31, 1995 aggregated $64,919,401 and
$67,188,913, respectively.
 
     Dean Witter Trust Company, an affiliate of the Investment Manager, is the
Trust's transfer agent. At January 31, 1995, the Trust had transfer agent fees
and expenses payable of approximately $7,000.
 
4.  SHARES OF BENEFICIAL INTEREST -- No transactions in shares of beneficial
interest occurred.
 
<TABLE>
<CAPTION>
                                                                                   Capital Paid
                                                                                        in
                                                                     Par Value     Excess of Par
                                                       Shares        of Shares         Value
                                                    ------------     ---------     -------------
<S>                                                 <C>              <C>           <C>
Balance, January 31, 1994 and 1995................  $ 12,876,779     $ 128,768     $ 120,947,519
                                                    ============     =========     =============
</TABLE>
 
5.  DIVIDENDS -- The Trust has declared the following dividends from net
investment income:
 
<TABLE>
<CAPTION>
                                           Amount
            Declaration Date              per Share        Record Date           Payable Date
----------------------------------------  ---------     ------------------    ------------------
<S>                                       <C>           <C>                   <C>
January 31, 1995........................    $0.06       February 10, 1995     February 24, 1995
February 28, 1995.......................    $0.06       March 10, 1995        March 24, 1995
</TABLE>
 
6.  FEDERAL INCOME TAX STATUS -- At January 31, 1995, the Trust had approximate
net capital loss carryovers which may be used to offset future capital gains to
the extent provided by regulations as follows:
 
<TABLE>
<CAPTION>
                             Available through January 31,
               ---------------------------------------------------------
                  2000           2002            2003           Total
               -----------    -----------    ------------    -----------
<S>            <C>            <C>            <C>             <C>
                $9,648,000     $3,256,000     $10,665,000    $23,569,000
                ==========     ==========    ============    ============
</TABLE>
 
     To the extent that these carryover losses are used to offset future capital
gains it is probable that the gains so offset will not be distributed to
shareholders. Capital losses incurred after October 31 ("post-October losses")
within the taxable year are deemed to arise on the first business day of the
Trust's next taxable year. The Trust incurred and will elect to defer net
capital losses of approximately $1,985,000 during fiscal 1995. As of January 31,
1995, the Trust had temporary book/tax differences primarily attributable to
post-October losses.
<PAGE>   10
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS (continued)
--------------------------------------------------------------------------------
 
7.  SELECTED QUARTERLY FINANCIAL DATA -- (unaudited)
 
<TABLE>
<CAPTION>
                                                                 Quarters Ended*
                              -------------------------------------------------------------------------------------
                                    1/31/95              10/31/94               7/31/94               4/30/94
                              -------------------   -------------------   -------------------   -------------------
                              Total    Per Share    Total    Per Share    Total    Per Share    Total    Per Share
                              ------   ----------   ------   ----------   ------   ----------   ------   ----------
<S>                           <C>      <C>          <C>      <C>          <C>      <C>          <C>      <C>
Total investment income.....  $2,522      $.20      $2,698      $.21      $2,675      $.21      $2,609      $.20
Net investment income.......   2,299       .18       2,492       .19       2,451       .19       2,373       .19
Net realized and unrealized
  loss on investment........  (2,635)     (.20)     (4,587)     (.36)     (6,559)     (.51)     (4,659)     (.36)
</TABLE>
 
<TABLE>
<CAPTION>
                                                                 Quarters Ended*
                              -------------------------------------------------------------------------------------
                                    1/31/94              10/31/93               7/31/93               4/30/93
                              -------------------   -------------------   -------------------   -------------------
                              Total    Per Share    Total    Per Share    Total    Per Share    Total    Per Share
                              ------   ----------   ------   ----------   ------   ----------   ------   ----------
<S>                           <C>      <C>          <C>      <C>          <C>      <C>          <C>      <C>
Total investment income.....  $2,836      $.22      $2,694      $.21      $3,358      $.26      $2,471      $.19
Net investment income.......   2,595       .20       2,493       .19       3,119       .24       2,241       .18
Net realized and unrealized
  gain on investments.......   4,582       .36       1,839       .15       2,545       .20       2,658       .20
</TABLE>
 
------------------
* Totals expressed in thousands
 
FINANCIAL HIGHLIGHTS
--------------------------------------------------------------------------------
 
Selected ratios and per share data for a share of beneficial interest
outstanding throughout each period:
 
<TABLE>
<CAPTION>
                                                              For the year ended January 31,
                                               ------------------------------------------------------------
                                                 1995         1994         1993         1992         1991
                                               --------     --------     --------     --------     --------
<S>                                            <C>          <C>          <C>          <C>          <C>
PER SHARE OPERATING PERFORMANCE:
Net asset value, beginning of period.........  $   7.57     $   6.70     $   6.83     $   5.18     $   7.59
                                               --------     --------     --------     --------     --------
Net investment income........................      0.75         0.81         0.91         0.84         1.11
Net realized and unrealized gain (loss)
  on investments.............................     (1.43)        0.91        (0.13)        1.58        (2.37)
                                               --------     --------     --------     --------     --------
Total from investment operations.............     (0.68)        1.72         0.78         2.42        (1.26)
Less dividends from net investment income....     (0.77)       (0.85)       (0.91)       (0.77)       (1.15)
                                               --------     --------     --------     --------     --------
Net asset value, end of period...............  $   6.12     $   7.57     $   6.70     $   6.83     $   5.18
                                                =======      =======      =======      =======      =======
Market value, end of period..................  $   6.50     $   7.75     $  6.875     $   6.50     $  4.625
                                                =======      =======      =======      =======      =======
TOTAL INVESTMENT RETURN+.....................     (6.30)%      26.21%       20.77%       60.31%      (24.31)%
RATIOS/SUPPLEMENTAL DATA:
Net assets, end of period (in thousands).....  $ 78,765     $ 97,466     $ 86,305     $ 89,084     $ 68,476
Ratios to average net assets:
  Expenses...................................      1.02%        0.99%        1.06%        1.17%        1.05%
  Net investment income......................     11.04%       11.40%       13.22%       13.53%       17.39%
Portfolio turnover rate......................        82%         231%         118%         137%          44%
</TABLE>
 
---------------
+ 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.
 
                       See Notes to Financial Statements
<PAGE>   11
 
HIGH INCOME ADVANTAGE TRUST III
REPORT OF INDEPENDENT ACCOUNTANTS
--------------------------------------------------------------------------------
 
To the Shareholders and Trustees of High Income Advantage Trust III
 
In our opinion, the accompanying statement of assets and liabilities, including
the portfolio of investments, and the related statements of operations and of
changes in net assets and the financial highlights present fairly, in all
material respects, the financial position of High Income Advantage Trust III
(the "Trust") at January 31, 1995, the results of its operations for the year
then ended, the changes in its net assets for each of the two years in the
period then ended and the financial highlights for each of the five years in the
period then ended, in conformity with generally accepted accounting principles.
These financial statements and financial highlights (hereafter referred to as
"financial statements") are the responsibility of the Trust's management; our
responsibility is to express an opinion on these financial statements based on
our audits. We conducted our audits of these financial statements in accordance
with generally accepted auditing standards which require that we plan and
perform the audit to obtain reasonable assurance about whether the financial
statements are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements, assessing the accounting principles used and significant estimates
made by management, and evaluating the overall financial statement presentation.
We believe that our audits, which included confirmation of securities owned at
January 31, 1995 by correspondence with the custodian, provide a reasonable
basis for the opinion expressed above.
 
PRICE WATERHOUSE LLP
1177 Avenue of the Americas
New York, New York 10036
March 13, 1995
<PAGE>   12

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

Peter M. Avelar
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




HIGH INCOME
ADVANTAGE
TRUST III




ANNUAL REPORT
JANUARY 31, 1995


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