HIGH INCOME ADVANTAGE TRUST III
N-30D, 1994-03-28
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<PAGE>   1
 
                        HIGH INCOME ADVANTAGE TRUST III
                             Two World Trade Center
                            New York, New York 10048
 
DEAR SHAREHOLDER:
- --------------------------------------------------------------------------------
 
     The high-yield bond market was very rewarding for investors in 1993.
Benefiting from the general decline in interest rates that characterized the
first 10 months of the year, as well as the continued improvement in corporate
credit quality, the high-yield market concluded 1993 as one of the fixed-income
market's top performers. What's more, 1993 marked the third successive year of
excellent returns for this market. In fact, over the past three years, the
high-yield market has outperformed all other fixed-income markets.
 
     The high-yield market's continued strength was reflected in High Income
Advantage Trust III's impressive total return for the fiscal year ended January
31, 1994 of 26.21 percent, based on its $7.75 closing market price per share on
the New York Stock Exchange (NYSE). Based on its net asset value (NAV) of $7.57
per share on January 31, 1994, the Trust's total return for the year was an
equally impressive 26.50 percent. As of January 31, 1994, the Trust's net assets
totaled more than $97 million, while its closing NYSE market price represented a
2.38 percent premium to NAV.
 
     Over the past 12 months, the Trust continued to distribute regular monthly
income dividends at a rate of $0.06 per share. For the full 12-month period, the
Trust paid income dividends totaling $0.8474 per share, including an extra
income dividend of $0.1274 per share paid on December 23, 1993. With interest
rates still at historical lows despite the recent uptick, shareholders should be
aware that in 1994 it may be difficult for the Trust to meet or exceed the total
income distributions of the past 12 months. As always, however, the Trust will
strive to provide shareholders with an attractive level of income.
 
INVESTMENT STRATEGY
 
     Our outlook for the high-yield market entering 1993 was favorable, based on
an improving economy and a low interest rate environment, and the Trust began
the year positioned to take advantage of a rising market. As the year began, we
saw many financially sound and fundamentally improving companies still trading
at sharply discounted prices within the B-rated sector of the market. The Trust
continued to maintain its focus on discounted, B-rated bonds throughout the
fiscal year, as this sector in our opinion offered the most attractive return
potential. As the economic environment improved in the second half of 1993, and
as many issuers took steps toward upgrading their credit quality, the Trust was
rewarded by the above-average appreciation realized in many of these discounted,
B-rated issues. Some of the top performers held by the Trust during the year
were Alco Health Services Corp., Collins & Aikman, Gaylord Container Corp. and
Stone Container Corp. In most cases, as the issuer's prospects have improved, so
too have their bond prices.
 
     During the fiscal year, the Trust also was able to capitalize on the
ability of bond issuers to strengthen their credit quality by refinancing debt
in the prevailing low interest rate environment. As this trend has accelerated,
the Trust has captured significant capital appreciation. Among the Trust's
current holdings, several issuers have recently completed refinancings,
including American Standard, Inc., Fort Howard Corp. and Playtex Family Products
Corp. Finally, the Trust's focus on financially sound issuers with improving
credit trends, coupled with the strengthening economic environment, kept credit
<PAGE>   2
 
disappointments during the year to a minimum. This, in turn, resulted in more
appreciation for the Trust's shareholders, as well as a steady level of income
throughout 1993.
 
MARKET OUTLOOK
 
     Looking further into 1994, we remain optimistic about the prospects for the
high-yield bond market, based on our expectations for continued growth in the
economy and further improvements in corporate credit quality. We would expect
more high-yield issuers to either tap the equity markets in order to pay down
debt or refinance their existing debt in today's lower interest rate
environment. If the economy continues to recover and high-yield issuers work
toward strengthening their balance sheets, we would anticipate that the
attractive yields available today will provide investors not only with a healthy
yield advantage over alternative fixed-income products, but also with an
excellent opportunity for further capital appreciation in the event yields
decline.
 
     We would like to remind you that the Trustees have approved a procedure
whereby the Trust, when appropriate, may attempt to reduce or eliminate a market
value discount from net asset value by repurchasing shares in the open market or
in privately negotiated transactions at a price not above market value, if any
or net asset value, whichever is lower at the time of purchase.
 
     We appreciate your support of High Income Advantage Trust III, and look
forward to continuing to serve your investment needs.
 
                                          Very truly yours,
 
                                          Charles A. Fiumefreddo
                                          Chairman of The Board
<PAGE>   3
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1994
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
 Principal
Amount (in                             Coupon     Maturity
thousands)                              Rate        Date        Value
- -----------                           --------   ---------- -------------
<C>         <S>                       <C>        <C>        <C>
CORPORATE BONDS (83.1%)
AEROSPACE (4.8%)
  $ 2,000   PA Holdings Corp. ........ 13.75%       7/15/99    $2,132,500
    2,500   Sabreliner Corp. ......... 12.50        4/15/03     2,525,000
                                                                ---------
                                                                4,657,500
                                                                ---------
AIRLINES (3.5%)
    3,000   GPA Delaware, Inc. ....... 8.75        12/15/98     2,640,000
    1,637   Trans World Airlines,
             Inc. .................... 8.00+       11/ 3/00       728,465
                                                                ---------
                                                                3,368,465
                                                                ---------
BUILDING & CONSTRUCTION (3.2%)
    3,000   American Standard, Inc.... 14.25        6/30/03     3,165,000
                                                                ---------
CABLE & TELECOMMUNICATIONS (4.3%)
    3,000   Cablevision Systems
             Corp. ................... 14.00       11/15/03     3,120,000
    1,000   Marcus Cable Co. ......... 11.875      10/ 1/05     1,060,000
                                                                ---------
                                                                4,180,000
                                                                ---------
CHEMICALS (4.5%)
    1,000   General Chemical.......... 14.00       11/ 1/98     1,113,750
    2,960   Georgia Gulf Corp. ....... 15.00        4/15/00     3,285,600
                                                                ---------
                                                                4,399,350
                                                                ---------
COMPUTER EQUIPMENT (4.1%)
    3,479   Memorex Telex Corp.(b).... 10.00+       2/15/98       843,732
    2,750   Unisys Corp. ............. 13.50*       7/ 1/97     3,190,000
                                                                ---------
                                                                4,033,732
                                                                ---------
CONSUMER PRODUCTS (2.2%)
    2,000   Playtex Family Products
             Corp. ................... 14.75       12/15/97     2,125,000
                                                                ---------
ENTERTAINMENT, GAMING & LODGING (11.7%)
    3,000   Aztar Mortgage Funding,
             Inc. .................... 13.50        9/15/96     3,150,000
    1,000   Belle Casino,
             Inc. -- 144A**........... 12.00       10/15/00       990,000
    1,000   Casino America, Inc. ..... 11.50       11/15/01     1,030,000
    3,000   Fair Lanes, Inc. ......... 11.875       8/15/97     2,220,000
    2,000   Treasure Bay Gaming &
             Resort, Inc. -- 144A**... 12.25       11/15/00     1,980,000
    2,125   Trump Plaza Holding
             Assoc. .................. 12.50+       6/15/03     2,040,000
                                                                ---------
                                                               11,410,000
                                                                ---------
FOOD & BEVERAGE (0.5%)
    1,000   Specialty Foods
             Acquisition Corp. ....... 13.00++      8/15/05       530,000
                                                                ---------
FOREST & PAPER PRODUCTS (6.9%)
    1,500   Container Corp. .......... 15.50++     12/ 1/04     2,921,250
    2,000   Crown Packaging,
             Inc. -- 144A**........... 12.25++     11/ 1/03       957,500
    3,000   Fort Howard Corp. ........ 14.125++    11/ 1/04     2,865,000
                                                                ---------
                                                                6,743,750
                                                                ---------
 
<CAPTION>
 Principal
Amount (in                             Coupon     Maturity
thousands)                              Rate        Date        Value
- -----------                           --------   ---------- -------------
<C>         <S>                       <C>        <C>        <C>
HEALTHCARE PRODUCTS (5.7%)
  $ 3,000   Alco Health Services
             Corp. ................... 14.50%       9/15/99    $3,330,000
    2,000   Scherer R.P. Corp. ....... 14.00       11/ 1/99     2,180,000
                                                                ---------
                                                                5,510,000
                                                                ---------
MANUFACTURING (3.9%)
    2,000   Snydergeneral Corp. ...... 14.25       11/15/00     2,115,000
    1,000   Talley Industries,
             Inc. .................... 12.25++     10/15/05       625,000
    1,000   Uniroyal Technology
             Corp. ................... 11.75        6/ 1/03     1,035,000
                                                                ---------
                                                                3,775,000
                                                                ---------
MANUFACTURING -- DIVERSIFIED INDUSTRIES (7.3%)
    2,000   Interlake Corp. .......... 12.125       3/ 1/02     2,105,000
    3,000   MS Essex Holdings,
             Inc. .................... 16.00++      5/15/04     2,625,000
    3,171   Thermadyne Industries,
             Inc.(b).................. 12.75+*     11/ 1/99     2,334,516
                                                                ---------
                                                                7,064,516
                                                                ---------
OIL & GAS (3.2%)
    3,000   Presidio Oil Co. ......... 14.05***     7/15/02     3,120,000
    3,275   TGX Corp.(b) ............. 12.67        4/ 1/94            33
                                                                ---------
                                                                3,120,033
                                                                ---------
RESTAURANTS (4.3%)
    4,000   American Restaurant Group
             Holdings
             (Units) -- 144A**........ 14.00++     12/15/05     2,120,000
    1,000   Flagstar Corp. ........... 11.25       11/ 1/04     1,042,500
    1,000   Foodmaker, Inc. .......... 14.25        5/15/98     1,063,750
                                                                ---------
                                                                4,226,250
                                                                ---------
RETAIL (4.1%)
    2,000   Cort Furniture Rental
             Corp. ................... 12.00        9/ 1/00     2,030,000
    2,000   County Seat Stores Co.
             (Units).................. 12.00       10/ 1/01     2,005,000
                                                                ---------
                                                                4,035,000
                                                                ---------
RETAIL -- FOOD CHAINS (6.8%)
    2,000   Big Bear Stores Co........ 13.75        6/15/99     2,150,000
    2,000   Food 4 Less Holdings,
             Inc. .................... 15.25++     12/15/04     1,400,000
    9,000   Grand Union Capital Corp.
             (Series A)............... 0.00         1/15/07     1,080,000
    2,000   Purity Supreme, Inc.
             (Series B)............... 11.75        8/ 1/99     2,010,000
                                                                ---------
                                                                6,640,000
                                                                ---------
TEXTILES (2.1%)
       57   Farley, Inc. (Conv.)...... 0.00         1/ 1/12         5,057
    2,000   JPS Textiles Group,
             Inc. .................... 10.85+       6/ 1/99     2,015,000
                                                                ---------
                                                                2,020,057
                                                                ---------
TOTAL CORPORATE BONDS
(IDENTIFIED COST $83,927,346).................                 81,003,653
                                                                ---------
</TABLE>
<PAGE>   4
 
HIGH INCOME ADVANTAGE TRUST III
PORTFOLIO OF INVESTMENTS January 31, 1994 (continued)
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Number of
  Shares                                            Value
- -----------                                      ------------
<C>          <S>                                 <C>
PREFERRED STOCK (C) (0.2%)
AIRLINES (0.2%)
    59,475   Trans World Airlines, Inc. 12.00% +
               (Identified Cost $1,735,914)..... $    178,425
                                                 ------------
COMMON STOCKS (A)(C) (5.8%)
BUILDING & CONSTRUCTION (2.7%)
    84,155   USG Corp...........................    2,671,921
                                                 ------------
CONSUMER PRODUCTS (0.6%)
   295,461   Triton Group, Ltd..................      590,922
                                                 ------------
ENTERTAINMENT, GAMING & LODGING (0.2%)
    22,350   SPI Holdings, Inc..................      189,975
                                                 ------------
FOOD & BEVERAGE (0.0%)
    15,000   Specialty Foods -- 144A** .........       30,000
                                                 ------------
HEALTHCARE -- DIVERSIFIED (2.3%)
    90,816   Charter Medical Corp. .............    2,213,640
                                                 ------------
TOTAL COMMON STOCKS
  (IDENTIFIED COST $13,122,885).................    5,696,458
                                                 ------------
</TABLE>
 
<TABLE>
<CAPTION>
 Number of                           Expiration
 Warrants                               Date           Value
- -----------                          -----------    ------------
<C>           <S>                    <C>            <C>
WARRANTS(A) (1.0%)
AEROSPACE (0.1%)
     2,500    Sabreliner Corp.(c)...    4/15/03           50,000
                                                    ------------
BUILDING & CONSTRUCTION (0.4%)
    21,496    USG Corp.(c)........      5/ 6/98          394,989
                                                    ------------
ENTERTAINMENT, GAMING & LODGING (0.3%)
     1,000    Belle Casino,
                Inc. -- 144A**....     10/15/03           45,000
     3,263    Casino America,
                Inc. .............     11/15/96           29,367
    10,000    Treasure Bay Gaming
                & Resort,
                Inc. -- 144A**....     11/15/98           60,000
       200    Trump Plaza Holding
                Assoc. ...........      6/18/96          160,000
                                                    ------------
                                                         294,367
                                                    ------------
FOREST & PAPER PRODUCTS (0.1%)
     2,000    Crown Packaging --
                 144A**...........     10/15/03           60,000
                                                    ------------
</TABLE>
 
<TABLE>
<CAPTION>
 Number of                           Expiration
 Warrants                               Date           Value
- -----------                          -----------    ------------
<C>           <S>                    <C>            <C>
MANUFACTURING (0.0%)
    10,000    Uniroyal Technology
                Corp. ............      6/ 1/03     $     27,500
                                                    ------------
MANUFACTURING -- DIVERSIFIED (0.0%)
       394    Thermadyne
                Industries,
                Inc.(c) ..........     12/31/00           27,580
                                                    ------------
RETAIL (0.1%)
    66,000    New Cort Holdings
                Corp. ............      9/ 1/98           99,531
                                                    ------------
RETAIL -- FOOD CHAINS (0.0%)
     6,930    Purity Supreme, Inc. ...    8/ 6/97            347
                                                    ------------
TOTAL WARRANTS
  (IDENTIFIED COST $501,990)....................         954,314
                                                    ------------
</TABLE>
 
<TABLE>
<CAPTION>
 Principal
Amount (in                             Coupon     Maturity
thousands)                              Rate        Date        Value
- -----------                           --------   ---------- -------------
<C>         <S>                       <C>        <C>        <C>
SHORT-TERM INVESTMENTS (6.8%)
U.S. GOVERNMENT OBLIGATIONS (6.4%)
    3,000   U.S. Treasury Note........   13.125     5/15/94     3,084,375
    3,000   U.S. Treasury Note........   12.625     8/15/94     3,147,656
                                                            -------------
TOTAL U.S. GOVERNMENT OBLIGATIONS
 (IDENTIFIED COST $6,390,468).........                          6,232,031
                                                            -------------
REPURCHASE AGREEMENT (0.4%)
       354   The Bank of New York 3.125% due
               2/1/94 (dated 1/31/94; proceeds
               $353,533; collateralized by
               335,240 U.S. Treasury Note 6.25%
               due 2/15/03 valued at $360,572)
               (Identified Cost $353,502).......      353,502
                                                 ------------
                    TOTAL SHORT-TERM INVESTMENTS
  (IDENTIFIED COST $6,743,970)..................    6,585,533
                                                 ------------
TOTAL INVESTMENTS
  (IDENTIFIED COST
  $106,032,105)(D)...............       96.9%     94,418,383
OTHER ASSETS IN EXCESS OF
  LIABILITIES....................        3.1       3,047,371
                                     -------    ------------
NET ASSETS.......................      100.0%   $ 97,465,754
                                     -------    ------------
                                     -------    ------------
</TABLE>
 
- ---------------
 
  * Adjustable rate. Rate shown is the rate in effect at January 31, 1994.
 ** 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, 1994.
  + Payment in kind security.
 ++ Currently zero coupon under terms of the initial offering.
 (a) Non-income producing security.
 (b) Non-income producing, issuer in bankruptcy.
 (c) Acquired through exchange offer.
 (d) The aggregate cost for federal income tax purposes is $106,061,755; the
     aggregate gross unrealized appreciation is $3,305,981 and the aggregate
     gross unrealized depreciation is $14,949,353; resulting in net unrealized
     depreciation of $11,643,372.
 
                       See Notes to Financial Statements
<PAGE>   5
 
HIGH INCOME ADVANTAGE TRUST III
FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                          <C>
STATEMENT OF ASSETS AND LIABILITIES
January 31, 1994
- -------------------------------------------
ASSETS:
Investments in securities, at value
  (identified cost $106,032,105)...........  $  94,418,383
Receivable for:
  Interest.................................      2,361,090
  Investments sold.........................      2,278,158
Prepaid expenses...........................          4,786
Deferred organizational expenses (Note
  1).......................................            786
                                             -------------
        TOTAL ASSETS.......................     99,063,203
                                             -------------
LIABILITIES:
Payable for investments purchased..........      1,474,688
Investment management fee payable (Note
  2).......................................         61,317
Accrued expenses (Note 3)..................         61,444
                                             -------------
        TOTAL LIABILITIES..................      1,597,449
                                             -------------
NET ASSETS:
Paid-in-capital............................    121,076,287
Accumulated realized loss on
  investments - net........................    (12,933,311)
Unrealized depreciation on investments -
  net......................................    (11,613,722)
Accumulated undistributed net investment
  income...................................        936,500
                                             -------------
        NET ASSETS.........................  $  97,465,754
                                             -------------
                                             -------------
NET ASSET VALUE PER SHARE,
  12,876,779 shares outstanding (unlimited
  authorized shares of $.01 par value).....          $7.57
                                                     -----
                                                     -----
STATEMENT OF OPERATIONS
For the year ended January 31, 1994
- -------------------------------------------
INVESTMENT INCOME:
 INTEREST INCOME...........................  $  11,359,329
                                             -------------
 EXPENSES
  Investment management fee (Note 2).......        687,426
  Transfer agent fees and expenses (Note
    3).....................................         53,615
  Professional fees........................         49,815
  Shareholder reports and notices (Note
    3).....................................         30,200
  Custodian fees...........................         25,550
  Registration fees........................         24,100
  Trustees' fees and expenses..............         21,536
  Organizational expenses (Note 1).........         10,599
  Other....................................          8,085
                                             -------------
    TOTAL EXPENSES.........................        910,926
                                             -------------
      INVESTMENT INCOME - NET..............     10,448,403
                                             -------------
REALIZED AND UNREALIZED GAIN (LOSS)
  ON INVESTMENTS -- NET (NOTE 1):
  Realized loss on investments - net.......     (2,451,938)
  Change in unrealized depreciation on
    investments - net......................     14,076,160
                                             -------------
    NET GAIN ON INVESTMENTS................     11,624,222
                                             -------------
      NET INCREASE IN NET ASSETS RESULTING
        FROM OPERATIONS....................  $  22,072,625
                                             -------------
                                             -------------
</TABLE>
 
STATEMENT OF CHANGES IN NET ASSETS
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                  For the                For the
                                                                                year ended             year ended
                                                                             January 31, 1994       January 31, 1993
                                                                            -------------------    -------------------
<S>                                                                         <C>                    <C>
INCREASE (DECREASE) IN NET ASSETS:
  Operations:
    Investment income - net...............................................     $  10,448,403          $  11,706,357
    Realized gain (loss) on investments - net.............................        (2,451,938)             6,836,198
    Change in unrealized depreciation on investments - net................        14,076,160             (8,515,011)
                                                                            -------------------    -------------------
        Net increase in net assets resulting from operations..............        22,072,625             10,027,544
  Dividends to shareholders from investment income - net..................       (10,911,783)           (11,677,377)
  Transactions in shares of beneficial interest - net decrease (Note 4)...               -0-             (1,128,834)
                                                                            -------------------    -------------------
        Total increase (decrease).........................................        11,160,842             (2,778,667)
NET ASSETS:
  Beginning of period.....................................................        86,304,912             89,083,579
                                                                            -------------------    -------------------
  END OF PERIOD (including undistributed net investment income of $936,500
   and $1,399,880, respectively)..........................................     $  97,465,754          $  86,304,912
                                                                            -------------------    -------------------
                                                                            -------------------    -------------------
</TABLE>
 
                       See Notes to Financial Statements
<PAGE>   6
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS
- --------------------------------------------------------------------------------
1.  ORGANIZATION AND ACCOUNTING POLICIES -- High Income Advantage Trust III (the
"Trust") was organized on November 23, 1988 as a Massachusetts business trust
and is registered under the Investment Company Act of 1940, as amended (the
"Act"), as a diversified, closed-end management investment company. The Trust
commenced operations on February 28, 1989.
 
     The following is a summary of significant accounting policies:
 
     A. Valuation of Investments -- (1) an equity portfolio security listed or
     traded on the New York or American Stock Exchange is valued at its latest
     sale price on that exchange (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 bid price; (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 (valuation of securities for which
     market quotations are not readily available may be based upon current
     market prices of securities which are comparable in coupon, rating and
     maturity or an appropriate matrix utilizing similar factors); (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 with remaining
     maturities of 60 days or less at time of purchase are valued at amortized
     cost; other short-term securities are valued on a mark-to-market basis
     until such time as they reach a remaining maturity of 60 days, whereupon
     they are valued at amortized cost using their value on the 61st day. All
     other securities and other assets are valued at their fair value as
     determined in good faith under procedures established by and under the
     supervision of the Trustees.
 
     B. Accounting for Investments -- Security transactions are accounted for on
     the trade date (date the order to buy or sell is executed). In computing
     net investment income, the Trust does not amortize premiums or accrue
     discounts on fixed income securities in the portfolio, except those
     original issue discounts for which amortization is required for federal
     income tax purposes. Additionally, with respect to market discount, a
     portion of any capital gain realized upon disposition may be
     recharacterized as investment income. Realized gains and losses on security
     transactions are determined on the identified cost method. Dividend income
     is recorded on the ex-dividend date. 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 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"
<PAGE>   7
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS (continued)
- --------------------------------------------------------------------------------
 
     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 reclassifications.
     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 -- The Trust's Investment Manager paid
     organizational expenses of the Trust in the amount of $53,000. The Trust
     reimbursed the Investment Manager for these costs which have been deferred
     and are being amortized by the Trust on a straight line basis over a period
     of sixty months from the commencement of operations.
 
     F. Repurchase Agreements -- The Trust's custodian takes possession on
     behalf of the Trust of the collateral pledged for investments in repurchase
     agreements. It is the policy of the Trust to value the underlying
     collateral daily on a mark-to-market basis to determine that the value,
     including accrued interest, is at least equal to the repurchase price plus
     accrued interest. In the event of default of the obligation to repurchase,
     the Trust has the right to liquidate the collateral and apply the proceeds
     in satisfaction of the obligation.
 
2.  INVESTMENT MANAGEMENT AGREEMENT -- Pursuant to an Investment Management
Agreement (the "Agreement") with Dean Witter InterCapital, Inc. (the "Investment
Manager"), the Trust pays its Investment Manager monthly compensation calculated
weekly by applying the following annual rates to the Trust's weekly net assets:
0.75% of the portion of the average weekly net assets not exceeding $250
million; 0.60% of the portion of the average weekly net assets exceeding $250
million but not exceeding $500 million; 0.50% of the portion of the average
weekly net assets exceeding $500 million but not exceeding $750 million; 0.40%
of the portion of average weekly net assets exceeding $750 million but not
exceeding $1 billion; and 0.30% of the portion of the average weekly net assets
exceeding $1 billion. Under the terms of the Agreement, in addition to managing
the Fund's investments, the Investment Manager maintains certain of the Fund'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 Fund 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 Fund.
 
3.  SECURITY TRANSACTIONS AND TRANSACTIONS WITH AFFILIATES -- The cost of
purchases and the proceeds from sales of portfolio securities for the year ended
January 31, 1994, excluding short-term investments, aggregated $204,276,288 and
$209,457,517, respectively.
 
     Bowne & Co., Inc. is an affiliate of the Fund by virtue of a common Trustee
and Director of Bowne & Co., Inc. During the year ended January 31, 1994 the
Trust paid Bowne & Co., Inc. $3,651 for printing of shareholder reports.
 
     Dean Witter Trust Company, an affiliate of the Investment Manager, is the
Trust's transfer agent. During the year ended January 31, 1994, the Trust
incurred transfer agent fees and expenses of $53,615, of which $4,016 was
payable at January 31, 1994.
<PAGE>   8
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS (continued)
- --------------------------------------------------------------------------------
 
4.  SHARES OF BENEFICIAL INTEREST -- Transactions in shares of beneficial
interest were as follows:
 
<TABLE>
<CAPTION>
                                                                      Par
                                                                     Value       Capital Paid
                                                                       of        in Excess of
                                                       Shares        Shares       Par Value
                                                     ----------     --------     ------------
<S>                                                  <C>            <C>          <C>
Balance, January 31, 1992..........................  13,046,679     $130,467     $122,074,654
Purchase of treasury shares (weighted average
  discount 4.0%)*..................................    (169,900)      (1,699)      (1,127,135)
                                                     ----------     --------     ------------
Balance, January 31, 1993 and January 31, 1994.....  12,876,779     $128,768     $120,947,519
                                                     ----------     --------     ------------
                                                     ----------     --------     ------------
</TABLE>
 
- ---------------
* The Trustees have voted to retire the shares repurchased.
 
5.  DIVIDENDS -- The Trust declared the following dividends from net investment
income --
 
<TABLE>
<CAPTION>
   Declaration         Amount             Record               Payable
      Date           Per Share             Date                  Date
- -----------------    ----------     ------------------    ------------------
<S>                  <C>            <C>                   <C>
February 1, 1994        $.06        February 11, 1994     February 25, 1994
March 1, 1994           $.06        March 11, 1994        March 25, 1994
</TABLE>
 
6.  FEDERAL INCOME TAX STATUS -- At January 31, 1994, the Trust had net capital
loss carryovers of approximately $12,904,000, of which $9,648,000 will be
available through January 31, 2000 and $3,256,000 will be available through
January 31, 2002. Such capital loss carryovers may be used to offset future
capital gains, to the extent provided by regulations. 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.
<PAGE>   9
 
HIGH INCOME ADVANTAGE TRUST III
NOTES TO FINANCIAL STATEMENTS (continued)
- --------------------------------------------------------------------------------
 
7.  SELECTED QUARTERLY FINANCIAL DATA -- (unaudited)
 
<TABLE>
<CAPTION>
                                                         Quarters Ended*
                              ---------------------------------------------------------------------
                                  1/31/94          10/31/93          7/31/93            4/30/93
                              ---------------   --------------    --------------    ---------------
                                         Per              Per               Per                Per
                               Total    Share   Total     Share   Total     Share    Total    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
Investment income - net.....    2,595     .20    2,493     .19     3,119     .24      2,241     .18
Realized and unrealized gain
  on investments - net......    4,582     .36    1,839     .15     2,545     .20      2,658     .20
</TABLE>
 
- ---------------
* Totals expressed in thousands
 
<TABLE>
<CAPTION>
                                                         Quarters Ended*
                              ---------------------------------------------------------------------
                                  1/31/93          10/31/92          7/31/92            4/30/92
                              ---------------   --------------    --------------    ---------------
                                         Per              Per               Per                Per
                               Total    Share   Total     Share   Total     Share    Total    Share
                              -------   -----   ------    ----    ------    ----    -------   -----
<S>                           <C>       <C>     <C>       <C>     <C>       <C>     <C>       <C>
Total investment income.....  $ 2,763   $ .21   $2,974    $.23    $3,504    $.27    $ 3,406   $ .27
Investment income - net.....    2,531     .20    2,744     .21     3,264     .25      3,167     .25
Realized and unrealized gain
  (loss) on
  investments - net.........    1,825     .14   (4,433)   (.34)   (1,299)   (.10)     2,228     .17
</TABLE>
 
- ---------------
* Totals expressed in thousands
<PAGE>   10
 
HIGH INCOME ADVANTAGE TRUST III
FINANCIAL HIGHLIGHTS
- --------------------------------------------------------------------------------
Selected data and ratios for a share of beneficial interest outstanding
throughout each period:
 
<TABLE>
<CAPTION>
                                                                                For the period
                                         For the year ended January 31,       February 28, 1989*
                                    ----------------------------------------       through
                                     1994       1993       1992       1991     January 31, 1990
                                    -------    -------    -------    ------- --------------------
<S>                                 <C>        <C>        <C>        <C>     <C>
PER SHARE OPERATING PERFORMANCE:
  Net asset value, beginning
     of period..................... $  6.70    $  6.83    $  5.18    $  7.59       $   9.30
                                    -------    -------    -------    ------- --------------------
     Investment income - net.......     .81        .91        .84       1.11           1.02
     Realized and unrealized gain
       (loss) on
       investments - net...........     .91       (.13)      1.58      (2.37)         (1.75)
                                    -------    -------    -------    ------- --------------------
  Total from investment
     operations....................    1.72        .78       2.42      (1.26)          (.73)
                                    -------    -------    -------    ------- --------------------
  Less dividends and other charges:
     Dividends from net
       investment income...........    (.85)      (.91)      (.77)     (1.15)          (.95)
     Offering costs charged
       against capital.............     -0-        -0-        -0-        -0-           (.03)
                                    -------    -------    -------    ------- --------------------
  Total dividends and
     other charges.................    (.85)      (.91)      (.77)     (1.15)          (.98)
                                    -------    -------    -------    ------- --------------------
  Net asset value, end of period... $  7.57    $  6.70    $  6.83    $  5.18       $   7.59
                                    -------    -------    -------    ------- --------------------
                                    -------    -------    -------    ------- --------------------
  Market value, end of period...... $  7.75    $ 6.875    $  6.50    $ 4.625       $  7.375
                                    -------    -------    -------    ------- --------------------
                                    -------    -------    -------    ------- --------------------
TOTAL INVESTMENT RETURN+...........   26.21%     20.77%     60.31%    (24.31)%       (17.65)%(1)
RATIOS/SUPPLEMENTAL DATA:
  Net assets, end of period
     (in thousands)................ $97,466    $86,305    $89,084    $68,476       $101,102
  Ratio of expenses to average
     net assets....................     .99%      1.06%      1.17%      1.05%           .93%(2)
  Ratio of net investment income
     to average net assets.........   11.40%     13.22%     13.53%     17.39%         12.65%(2)
  Portfolio turnover rate..........     231%       118%       137%        44%            59%
</TABLE>
 
- ---------------
  * Commencement of operations.
  + Total investment return is based upon the current market value on the first
    and 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.
 
                       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, 1994, 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 four years in the
period then ended and for the period February 28, 1989 (commencement of
operations) through January 31, 1990, 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, 1994 by correspondence with the
custodian and brokers, provide a reasonable basis for the opinion expressed
above.
 
PRICE WATERHOUSE
New York, New York
March 4, 1994
<PAGE>   12

TRUSTEES
Jack F. Bennett
Charles A. Fiumefreddo
Edwin J. Garn
John R. Haire
Dr. John E. Jeuck
Dr. Manuel H. Johnson
Paul Kolton
Michael E. Nugent
Edward R. Telling

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

LEGAL COUNSEL
Sheldon Curtis
Two World Trade Center
New York, New York  10048

INDEPENDENT ACCOUNTANTS
Price Waterhouse
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, 1994



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