VAN KAMPEN HIGH INCOME TRUST
N-30D, 1999-02-24
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<PAGE>   1
 
                    TABLE OF CONTENTS
 
<TABLE>
<S>                                               <C>
Letter to Shareholders...........................  1
Performance Results..............................  3
Glossary of Terms................................  4
Portfolio Management Review......................  6
Portfolio Highlights............................. 10
Portfolio of Investments......................... 11
Statement of Assets and Liabilities.............. 17
Statement of Operations.......................... 18
Statement of Changes in Net Assets............... 19
Financial Highlights............................. 20
Notes to Financial Statements.................... 22
Report of Independent Accountants................ 25
Dividend Reinvestment Plan....................... 26
</TABLE>
 
VIT ANR 2/99
<PAGE>   2

                             LETTER TO SHAREHOLDERS
 
January 20, 1999
 
Dear Shareholder,
    The past decade has been a remarkable time for investors. Together, we've
witnessed one of the greatest bull markets in investment history, unprecedented
growth in mutual fund investing, and a surge in personal retirement planning.
The coming millennium promises to hold even more opportunities.
    To lead us into this new era of investing, Richard F. Powers III has joined
Van Kampen as Chairman and Chief Executive Officer. He comes to us from our
parent company, Morgan Stanley Dean Witter & Co., where he served as Executive
Vice President and Director of Marketing. He brings 27 years of experience in
the financial services industry, including an extensive background in product
management, strategic planning and brand development.
    Although former Chairman Don G. Powell retired on January 1, he will remain
active in the industry and the community. Mr. Powell plans to continue his
service as a member of the board of directors of the Investment Company
Institute, the leading mutual fund industry association, and he will remain a
trustee of your trust.
 
ECONOMIC OVERVIEW
    Despite a stormy year in the global economy, the United States ended 1998
with only a moderate slowdown in growth. The nation's gross domestic product, a
measure of economic health, grew 3.9 percent during the year, matching 1997's
growth rate and indicating that our nation's economy remains strong. A
continuation of low inflation--only a 1.6 percent increase in the consumer price
index over the last 12 months--also helped sustain the domestic economy and kept
inflation-adjusted interest rates attractive.
    Although the year ended on a positive note, the economic environment was
quite unsettled in the third quarter, with the Asian financial crisis
contributing to slowing corporate profits in the United States. Given the
uncertainty surrounding emerging market nations and the near-collapse of a major
U.S. hedge fund, the stock and bond markets experienced significant volatility
during this period. With instability as a backdrop, American and foreign
investors alike pursued a flight to quality--seeking the relative safety of
large-company stocks and government bonds.
    In the last few months of the year the global financial situation improved
in conjunction with the Federal Reserve's interest rate decreases. In response
to declining corporate profits and mounting international concerns, the Fed
lowered interest rates three times, with 0.25 percent cuts in September,
October, and November. These rate cuts, coupled with a wave of corporate mergers
and cost-cutting measures, lent the support needed to keep the economy growing.
Dozens of foreign central banks also reduced interest rates in an effort to
stimulate their economies. These actions gave a boost to investor confidence and
encouraged a return to a more diversified range of investments in the last few
months of the year.
 
                                                            Continued on page  2
 
                                        1
<PAGE>   3
 
MARKET REVIEW
    The bond market continued to rally as interest rates fell during the year,
with U.S. Treasury securities outpacing corporate and municipal bonds in price
appreciation. Investors' desire for safer investments amid the global economic
storm led to strong demand for high-quality bonds. In fact, the U.S. Treasury
bond was considered one of the most attractive places to invest by both domestic
and international investors, propelling the 30-year Treasury yield to 4.71
percent in October--its lowest yield since the federal government began selling
these bonds in 1977. However, higher-yielding bonds suffered--primarily during
the third quarter--as investors' demand for quality increased. Corporate bond
prices, especially among lower-rated issues, fell in conjunction with concerns
about declining corporate profits.
 
OUTLOOK
    Our outlook for the domestic economy is positive, and we anticipate
continued low inflation and healthy economic growth. However, the aftereffects
of the global economic slowdown may continue to put pressure on corporate
earnings in the first half of the year. Internationally, we anticipate that low
interest rates and declining inflation will lead to improvements in troubled
areas such as Asia and Latin America. With the successful launch of the euro,
the new European transnational currency, we believe that many foreign markets
will become increasingly attractive in 1999.
    In the long term, we are optimistic that the stock market will continue its
record growth, although we could experience additional volatility in the months
ahead if concerns about high stock valuations and increasing earnings pressure
become more pronounced. Combined with growing questions about corporate and
government reactions to the Year 2000 computer problem, we could see an
increasingly cautious market by mid-year.
    Additional details about your trust, including a question-and-answer section
with your portfolio management team, are provided in this report. As always, we
are pleased to have the opportunity to share with you the progress of your
investment.
 
Sincerely,
 
 
[SIG.]                                 
Richard F. Powers III                  

Chairman                               
Van Kampen Investment Advisory Corp.                                  

[SIG.]
Dennis J. McDonnell

President
Van Kampen Investment Advisory Corp.


                                       2
<PAGE>   4
 
           PERFORMANCE RESULTS FOR THE PERIOD ENDED DECEMBER 31, 1998
 
                          VAN KAMPEN HIGH INCOME TRUST
                           (NYSE TICKER SYMBOL--VIT)
 
<TABLE>
<S>                                                         <C>
 COMMON SHARE TOTAL RETURNS

One-year total return based on market price(1)............    (4.33%)
One-year total return based on NAV(2).....................     1.35%

 DISTRIBUTION RATE

Distribution rate as a % of closing common stock
  price(3)................................................    11.01%

 SHARE VALUATIONS

Net asset value...........................................    $ 5.86
Closing common stock price................................    $6.375
One-year high common stock price (03/10/98)...............    $7.625
One-year low common stock price (09/01/98)................   $5.6875
Preferred share rate(4)...................................     5.25%
</TABLE>
 
(1) Total return based on market price assumes an investment at the market price
at the beginning of the period indicated, reinvestment of all distributions for
the period in accordance with the Trust's dividend reinvestment plan, and sale
of all shares at the closing stock price at the end of the period indicated.
 
(2) Total return based on net asset value (NAV) assumes an investment at the
beginning of the period indicated, reinvestment of all distributions for the
period, and sale of all shares at the end of the period, all at NAV.
 
(3) Distribution rate represents the monthly annualized distributions of the
Trust at the end of the period and not the earnings of the Trust.
 
(4) See "Notes to Financial Statements" footnote #4, for more information
concerning Preferred Share reset periods.
 
Investing in high-yield, lower-rated securities involves certain risks, which
may include the potential for greater sensitivity to general economic downturns
and greater market price volatility.
 
Past performance does not guarantee future results. Investment return, stock
price and net asset value will fluctuate with market conditions. Trust shares,
when sold, may be worth more or less than their original cost.
 
                                        3
<PAGE>   5
 
                               GLOSSARY OF TERMS
 
CALL FEATURE: Allows the issuer to buy back a bond on specific dates at set
    prices before maturity. These dates and prices are set when the bond is
    issued. To compensate the bondholder for the potential loss of income and
    ownership, a bond's call price is usually higher than the face value of the
    bond. Bonds are usually called when interest rates drop so significantly
    that the issuer can save money by issuing new bonds at lower rates.
 
CREDIT RATING: An evaluation of an issuer's credit history and capability of
    repaying obligations. Standard & Poor's and Moody's Investors Service are
    two companies that assign bond ratings. Standard & Poor's ratings range from
    a high of AAA to a low of D, while Moody's ratings range from a high of Aaa
    to a low of C.
 
CREDIT SPREAD: Also called quality spread, the difference in yield between
    higher-quality issues (such as Treasury securities) and lower-quality
    issues. Normally, lower-quality issues provide higher yields to compensate
    investors for the additional credit risk.
 
DURATION: A measure of the sensitivity of a bond's price to changes in interest
    rates, expressed in years. Each year of duration represents an expected 1
    percent change in the price of a bond for every 1 percent change in interest
    rates. The longer a bond's duration, the greater the effect of interest rate
    movements on net asset value. Typically, funds with shorter durations
    perform better in rising rate environments, while funds with longer
    durations perform better when rates decline.
 
FEDERAL RESERVE BOARD (THE FED): The governing body of the Federal Reserve
    System, which is the central bank system of the United States. Its
    policy-making committee, called the Federal Open Market Committee, meets
    eight times a year to establish monetary policy and monitor the economic
    pulse of the United States.
 
INFLATION: A persistent and measurable rise in the general level of prices.
    Inflation is widely measured by the Consumer Price Index, an economic
    indicator that measures the change in the cost of purchased goods and
    services.
 
MATURITY LENGTH: The time it takes for a bond to mature. A bond issued in 1998
    and maturing in 2008 is a 10-year bond. For corporate bonds, short-term
    bonds usually mature in five years or less, intermediate-term bonds mature
    in five to ten years, and long-term bonds mature after ten years.
 
NET ASSET VALUE (NAV): The value of a trust share, calculated by deducting a
    trust's liabilities from the total assets applicable to common shareholders
    in its portfolio and dividing this amount by the number of common shares
    outstanding.
 
VOLATILITY: A measure of the fluctuation in the market price of a security. A
    security that is volatile has frequent and large swings in price.
 
                                        4
<PAGE>   6
 
YIELD: The annual rate of return on an investment, expressed as a percentage.
    For bonds and notes, the yield is the annual interest divided by the market
    price.
 
YIELD SPREAD: The additional yield investors can earn by either investing in
    bonds with longer maturities or by investing in bonds with lower ratings.
    The spread is the difference in yield between bonds with short versus long
    maturities or the difference in yield between high-quality bonds and
    lower-quality bonds.
 
                                        5
<PAGE>   7
 
                          PORTFOLIO MANAGEMENT REVIEW
 
                          VAN KAMPEN HIGH INCOME TRUST
 
We recently spoke with the management team of the Van Kampen High Income Trust
about the key events and economic forces that shaped the markets during the past
year. The team includes Ellis S. Bigelow, portfolio manager, and Peter W. Hegel,
chief investment officer for fixed-income investments. Ms. Bigelow assumed
management responsibilities for the Trust on March 21, 1998. The following
comments reflect their views on the Trust's performance during the year ended
December 31, 1998.
 
   Q  HOW WOULD YOU CHARACTERIZE THE MARKET CONDITIONS IN WHICH THE TRUST
      OPERATED DURING THE REPORTING PERIOD?

   A  This year was a volatile environment for high-yield bonds. Early in the
      year, these securities were in favor as investors were willing to assume
      additional risk in exchange for higher yields. However, as the financial
problems in Asia came to light, investors began to seek the relative safety of
U.S. Treasury bonds. Despite this moderate level of instability, bond prices
generally moved higher during the first six months of the year as interest rates
declined.
    In the third quarter, high-yield bonds suffered price declines as consumer
confidence plummeted in conjunction with disappointing corporate earnings.
Concerns about the economy, questionable hedge fund activity, and a lack of
action by the Fed led many institutional, foreign and individual investors to
sell their high-yield bonds. In fact, a record $2.9 billion was diverted from
high-yield bond funds in August.
    This lack of demand led to unusually high yields in the marketplace as
investors demanded significant premiums in exchange for purchasing these
out-of-favor securities. The difference in yields between U.S. Treasury bonds
and high-yield bonds widened to as much as 7.79 percent in mid-October. The
high-yield market rebounded after the Fed's interest rate cuts in the fourth
quarter, but the after-effects of such an unsettled environment remain.
 
   Q  THESE SEEM LIKE EXTREME CONDITIONS. WAS THE MARKET UNDER AS MUCH PRESSURE
      AS PRICE LEVELS SEEMED TO INDICATE?

   A  Absolutely not. The high-yield market was fundamentally sound during the
      period. One of the most difficult months in the high-yield market was June
      1991, when more than 11.5 percent of high-yield bonds were in default.
Compare that to a trailing 12-month default rate of about 2.7 percent in August
1998. In addition, we were about to enter a recession during that tough market
of the early 1990s, whereas we saw continued strong economic growth in 1998.
 
                                        6
<PAGE>   8
 
   Q  WHAT FACTORS CONTRIBUTED TO THE HIGH-YIELD MARKET'S RECOVERY IN THE LAST
      FEW WEEKS OF THE YEAR?

   A  The growth in consumer confidence was the most important factor. Investors
      saw that Asia's financial situation was improving, troubled hedge funds
      were bailed out, and the International Monetary Fund helped Brazil and
other countries with their economic difficulties. The Fed's rate cuts also had a
tremendous impact on consumer confidence because they reflected a change in
sentiment by the Federal Reserve. Investors saw that the Fed was willing to
respond to the international economic situation and provide the liquidity needed
to keep the economy growing, in addition to its traditional role in fighting
inflation.
 
   Q  HOW DID YOU MANAGE THE TRUST IN THIS ENVIRONMENT?

   A  The Trust was positioned somewhat less aggressively, and was weighted
      heavily toward higher-quality bonds with shorter maturities. Both of these
      characteristics provided some stability during the turbulent market. We
also emphasized higher-quality bonds in the telecommunications sector, which
performed well during the period. Continued positive growth for
telecommunications companies meant strong performance for many of our holdings
in this sector. Telecommunications remained the Trust's largest sector,
representing 14.4 percent of long-term investments at year-end.
 
   Q  DID YOU MAKE ANY MAJOR CHANGES TO THE TRUST?

   A  When the Trust came under new management in March, we made several changes
      to its structure to take advantage of prevailing market conditions.
Traditionally, the Trust had maintained large cash reserves and also invested
heavily in short-term debt. By using the cash reserves, as well as proceeds from
bonds that were called, we purchased bonds with five- to eight-year maturities.
This move enhanced total return potential because the longer-term bonds
generally have higher yields and greater potential for price appreciation. It
also allowed us to extend the duration of the Trust, which made it more
sensitive to interest rate changes--and therefore better able to participate in
the upside of the market as rates declined.
    In addition, we made a change that will help us to better manage the Trust
when the supply of attractive securities is limited, such as the situation that
occurred during the third quarter of 1998. The Board of Trustees approved a
resolution allowing the Trust to hold up to 35 percent of its net assets in
foreign securities, beginning April 1, 1999. The change allows us the
opportunity to purchase foreign securities to enhance the Trust's income and
structure. However, we do not anticipate making significant changes to the
portfolio immediately after the resolution takes effect. Keep in mind, though,
that investing in foreign securities presents certain risks that aren't normally
associated with investing in securities of U.S. issuers. For more information
about these risks, see the Important Trust Update on page 9.
 
                                        7
<PAGE>   9
 
   Q  HOW DID THE TRUST PERFORM DURING THE YEAR?

   A  For the 12-month period ended December 31, 1998, the Trust generated a
      total return of -4.33 percent(1) based on market price. This reflects a
      decrease in market price per common share from $7.375 on December 31,
1997, to $6.375 on December 31, 1998, plus reinvestment of dividends. The
monthly dividend of $0.0585 per share translates to a distribution rate of 11.01
percent based on the closing common stock price on December 31, 1998. (Editor's
Note: Effective with the January 1999 distribution, the Trust's monthly dividend
has been reduced to $0.056 per share.) The chart on page 3 provides additional
performance information.
 
   Q  WHAT IS YOUR OUTLOOK FOR THE COMING MONTHS?

   A  We believe the slower-growth economic environment will continue, and that
      we'll see a lot of money coming into the stock and bond markets in January
      as people invest year-end bonuses. The Trust should benefit from this
"January effect," as demand for higher-yielding investments grows in the first
few months of the year. The first quarter has traditionally been a strong one
for high-yield bonds, and we anticipate that this trend will continue.
    With this in mind, we are positioning the Trust more aggressively for the
first few months of the year to take advantage of the potential for a strong
high-yield market. We will also keep a close eye on the dividend because the
lower interest rate environment may put pressure on the Trust's income stream.
 
[SIG.]
Peter W. Hegel

Chief Investment Officer
Fixed Income Investments

[SIG.]

Ellis S. Bigelow

Portfolio Manager
 
                                                  Please see footnotes on page 3
 
                                        8
<PAGE>   10
 
IMPORTANT TRUST UPDATE
As you may have read on page 7 of the Portfolio Management Review, the Board of
Trustees approved a resolution that will allow the Trust to invest in foreign
securities. This change will allow the portfolio management team to select from
a greater number of available securities, particularly when the supply of
attractive U.S. securities is limited. As of April 1, 1999, the Trust may invest
up to 35 percent of its total assets in U.S. dollar denominated securities of
foreign issuers.
 
Investments in foreign securities present certain risks not ordinarily
associated with investments in securities of U.S. issuers. These risks include
fluctuations in foreign exchange rates, political and economic developments
(including war or other instability, expropriation of assets, nationalization
and confiscatory taxation), the imposition of foreign exchange limitations,
withholding taxes on income or capital transactions or other restrictions,
higher transaction costs and difficulty in taking judicial action. In addition,
there generally is less publicly available information about many foreign
issuers, and auditing, accounting, and financial reporting requirements are less
stringent and less uniform in many foreign countries. Such securities may be
less liquid than the securities of U.S. corporations or the U.S. government.
Such securities may also be subject to greater fluctuations in price than
securities of U.S. corporations or the U.S. government. There is generally less
government regulation of stock exchanges, brokers and listed companies abroad
than in the U.S., and, with respect to certain foreign countries, there is a
possibility of expropriation or confiscatory taxation, or diplomatic
developments which could affect investment in those countries. Because there is
usually less supervision and governmental regulation of exchanges, brokers, and
dealers than there is in the U.S., the Trust may experience settlement
difficulties or delays not usually encountered in the U.S. The risks of foreign
investments should be considered carefully by an investor in the Trust.
 
                                        9
<PAGE>   11
 
                              PORTFOLIO HIGHLIGHTS
 
                          VAN KAMPEN HIGH INCOME TRUST
 TOP TEN PORTFOLIO SECTORS AS A PERCENTAGE OF LONG-TERM INVESTMENTS
 
<TABLE>
<CAPTION>
  AS OF DECEMBER 31, 1998                           AS OF DECEMBER 31, 1997
<S>                          <C>                  <S>                          <C>
Telecommunications.........  14.4%                Printing, Publishing, &
Hotel, Motel, Inns, &                               Broadcasting.............  15.1%
  Gaming...................  10.2%                Oil & Gas..................  10.5%
Printing, Publishing, &                           Telecommunications.........   9.8%
  Broadcasting.............   8.3%                Health Care................   6.5%
Oil & Gas..................   8.1%                Leisure/Entertainment......   6.0%
Health Care................   6.7%                Finance....................   5.7%
Grocery....................   5.4%                Aerospace & Defense........   5.5%
Mining, Steel, Iron &                             Hotel, Motel, Inns, &
  Non-Precious Metal.......   4.8%                  Gaming...................   4.8%
Chemical...................   4.5%                Grocery....................   3.9%
Containers, Packaging &                           Buildings & Real Estate....   3.8%
  Glass....................   4.3%                     
Aerospace & Defense........   4.1%
</TABLE>
 

 
 PORTFOLIO COMPOSITION BY CREDIT QUALITY AS
 A PERCENTAGE OF LONG-TERM DEBT SECURITIES

<TABLE>
<CAPTION>
<S>           <C>                                 <S>           <C>     
A to AAA...... 2.5%                               A to AAA...... 1.9%
BBB........... 7.4%                               BBB........... 6.4%
BB............33.7%           PIE CHART           BB............28.0%           PIE CHART
B.............54.5%                               B.............62.9%
CCC and Below. 0.4%                               Non-Rated.....62.9%
Non-Rated..... 1.5%
</TABLE>

Based upon the highest credit quality ratings as issued by Standard & Poor's or
Moody's.

DIVIDEND HISTORY

For the Period Ended December 31, 1998 
 
<TABLE>
<CAPTION>
                                           DIVIDEND
                                           --------
<S>                                         <C>
1/98                                        0.0585
2/98                                        0.0585
3/98                                        0.0585
4/98                                        0.0585
5/98                                        0.0585
6/98                                        0.0585
7/98                                        0.0585
8/98                                        0.0585
9/98                                        0.0585
10/98                                       0.0585
11/98                                       0.0585
12/98                                       0.0585
</TABLE>

The dividend history represents past performance of the Trust and does not 
predict the Trust's future distributions.
 
                                       10
<PAGE>   12
 
                            PORTFOLIO OF INVESTMENTS
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Par
Amount
(000)                    Description                   Coupon      Maturity  Market Value
- -----------------------------------------------------------------------------------------
<C>      <S>                                          <C>          <C>       <C>
         CORPORATE BONDS  90.4%
         AEROSPACE & DEFENSE  3.7%
$1,700   Dyncorp....................................      9.500%   03/01/07  $  1,704,250
 2,800   Sequa Corp.................................      9.625    10/15/99     2,870,000
   500   Sequa Corp.................................      9.375    12/15/03       520,000
                                                                             ------------
                                                                                5,094,250
                                                                             ------------
         AUTOMOBILE  1.3%
   400   Aetna Industries, Inc......................     11.875    10/01/06       420,000
   550   MCII Holdings, Inc. (a)....................  12.0/15.0    11/15/02       478,500
   500   Venture Holdings, Inc......................      9.750    04/01/04       492,500
   400   Venture Holdings, Inc......................      9.500    07/01/05       398,000
                                                                             ------------
                                                                                1,789,000
                                                                             ------------
         BUILDINGS & REAL ESTATE  3.2%
 3,050   American Standard, Inc.....................     10.875    05/15/99     3,103,375
   550   Kevco, Inc.................................     10.375    12/01/07       497,750
   825   Webb (Del E.) Corp.........................      9.375    05/01/09       806,437
                                                                             ------------
                                                                                4,407,562
                                                                             ------------
         CHEMICAL  4.1%
   975   Acetex Corp................................      9.750    10/01/03       970,125
   660   American Pacific Corp......................      9.250    03/01/05       678,150
 2,404   ISP Holdings, Inc..........................      9.750    02/15/02     2,560,260
 1,850   Pioneer Americas Acquisition Corp..........      9.250    06/15/07     1,461,500
                                                                             ------------
                                                                                5,670,035
                                                                             ------------
         CONTAINERS, PACKAGING & GLASS  3.9%
 1,400   Fonda Group, Inc...........................      9.500    03/01/07     1,169,000
 1,130   Printpack, Inc.............................     10.625    08/15/06     1,113,050
 1,400   Radnor Holdings, Inc.......................     10.000    12/01/03     1,414,000
 1,350   S.D. Warren Co.............................     12.000    12/15/04     1,471,500
   325   Sweetheart Cup, Inc........................      9.625    09/01/00       295,750
                                                                             ------------
                                                                                5,463,300
                                                                             ------------
         DIVERSIFIED/CONGLOMERATE MANUFACTURING 1.0%
 1,350   Communications & Power Industries, Inc.....     12.000    08/01/05     1,407,375
                                                                             ------------
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       11
<PAGE>   13
                      PORTFOLIO OF INVESTMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Par
Amount
(000)                    Description                   Coupon      Maturity  Market Value
- -----------------------------------------------------------------------------------------
<C>      <S>                                          <C>          <C>       <C>
         ECOLOGICAL  0.6%
$ 600    Envirosource, Inc..........................      9.750%   06/15/03  $    564,000
  200    Norcal Waste Systems, Inc..................     13.500    11/15/05       220,000
                                                                             ------------
                                                                                  784,000
                                                                             ------------
         ELECTRONICS  1.9%
1,925    Advanced Micro Devices, Inc................     11.000    08/01/03     2,059,750
1,300    DecisionOne Corp...........................      9.750    08/01/07       624,000
                                                                             ------------
                                                                                2,683,750
                                                                             ------------
         FINANCE  2.0%
2,050    Americredit Corp...........................      9.250    02/01/04     1,988,500
1,200    Contifinancial Corp........................      8.375    08/15/03       852,000
                                                                             ------------
                                                                                2,840,500
                                                                             ------------
         GROCERY  4.9%
  300    Aurora Foods, Inc..........................      9.875    02/15/07       327,750
1,250    Fleming Cos., Inc..........................     10.500    12/01/04     1,187,500
  300    Fleming Cos., Inc..........................     10.625    07/31/07       282,000
1,400    Jitney Jungle Stores America, Inc..........     12.000    03/01/06     1,564,500
1,514    Pantry, Inc................................     12.000    11/15/00     1,578,345
1,200    Pantry, Inc................................     10.250    10/15/07     1,258,500
  565    Shoppers Food Warehouse, Inc...............      9.750    06/15/04       617,262
                                                                             ------------
                                                                                6,815,857
                                                                             ------------
         HEALTHCARE  6.0%
1,650    Columbia HCA Healthcare Corp...............      6.910    06/15/05     1,617,000
  650    Fisher Scientific International, Inc.......      7.125    12/15/05       611,000
1,500    Fresenius Medical Care Capital Trust.......      9.000    12/01/06     1,567,500
  650    Mariner Post Acute Network, Inc............      9.500    11/01/07       507,000
1,950    Sun Healthcare Group, Inc..................      9.500    07/01/07     1,560,000
1,300    Tenet Healthcare Corp......................      8.625    12/01/03     1,368,250
1,100    Tenet Healthcare Corp......................      8.625    01/15/07     1,157,750
                                                                             ------------
                                                                                8,388,500
                                                                             ------------
         HOTEL, MOTEL, INNS & GAMING  9.3%
2,050    Argosy Gaming Co...........................     13.250    06/01/04     2,296,000
  350    Booth Creek Ski Holdings, Inc..............     12.500    03/15/07       348,250
  848    Boyd Gaming Corp...........................      9.250    10/01/03       881,920
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       12
<PAGE>   14
                      PORTFOLIO OF INVESTMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Par
Amount
(000)                    Description                   Coupon      Maturity  Market Value
- -----------------------------------------------------------------------------------------
<S>      <C>                                          <C>          <C>       <C>
         HOTEL, MOTEL, INNS & GAMING (CONTINUED)
$1,430   Casino America, Inc........................     12.500%   08/01/03  $  1,587,300
   825   Casino Magic Louisiana.....................     13.000    08/15/03       934,313
 1,075   Coast Hotels & Casinos, Inc................     13.000    12/15/02     1,214,750
 1,550   Grand Casinos, Inc.........................      9.000    10/15/04     1,736,000
 1,130   Hollywood Casino, Inc......................     12.750    11/01/03     1,203,450
 1,125   Horseshoe Gaming...........................     12.750    09/30/00     1,200,937
 1,410   Majestic Star Casino.......................     12.750    05/15/03     1,469,925
                                                                             ------------
                                                                               12,872,845
                                                                             ------------
         LEISURE  2.1%
 2,750   Selmer, Inc................................     11.000    05/15/05     2,956,250
                                                                             ------------
         MINING, STEEL, IRON & NON-PRECIOUS
         METAL  4.3%
 1,130   AK Steel Corp..............................     10.750    04/01/04     1,178,025
 1,100   GS Technologies Operating, Inc.............     12.250    10/01/05       748,000
 1,130   Kaiser Aluminum & Chemical, Inc............     10.875    10/15/06     1,152,600
   350   Renco Steel Holdings, Inc..................     10.875    02/01/05       308,000 
 2,650   WCI Steel, Inc.............................     10.000    12/01/04     2,643,375
                                                                             ------------
                                                                                6,030,000
                                                                             ------------
         OIL & GAS  7.3%
 1,550   Benton Oil & Gas, Inc......................     11.625    05/01/03       976,500
 1,130   Chesapeake Energy Corp.....................      9.625    05/01/05       858,800
 1,000   Frontier Oil Corp..........................      9.125    02/15/06       925,000
 1,507   Giant Industries, Inc......................      9.750    11/15/03     1,491,930
 1,950   Giant Industries, Inc......................      9.000    09/01/07     1,818,375
 2,270   KCS Energy, Inc............................     11.000    01/15/03     2,088,400
   600   Petroleum Heat & Power, Inc................     12.250    02/01/05       588,000
 1,000   Pride Petroleum Services, Inc..............      9.375    05/01/07       940,000
   850   Universal Compression, Inc. (a)............    0/9.875    02/15/08       501,500
                                                                             ------------
                                                                               10,188,505
                                                                             ------------
         PAPER  0.5%
   850   Doman Industries...........................      9.250    11/15/07       633,250
                                                                             ------------
         PERSONAL & NON-DURABLE  1.1%
 1,520   Cole National Group, Inc...................      9.875    12/31/06     1,580,800
                                                                             ------------
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       13
<PAGE>   15
                      PORTFOLIO OF INVESTMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Par
Amount
(000)                    Description                   Coupon      Maturity  Market Value
- -----------------------------------------------------------------------------------------
<C>      <S>                                          <C>          <C>       <C>
         PRINTING, PUBLISHING & BROADCASTING  7.5%
$ 450    CSC Holdings, Inc..........................      8.125%   08/15/09  $    482,625
1,200    CSC Holdings, Inc..........................     10.500    05/15/16     1,416,000
1,100    Grupo Televisa, Inc........................     11.875    05/15/06     1,100,000
1,130    Helicon Group, Inc.........................     11.000    11/01/03     1,175,200
1,000    International Cabletel, Inc. (a)...........   0/12.750    04/15/05       905,000
  750    International Cabletel, Inc. (a)...........   0/11.500    02/01/06       615,000
1,500    K-III Communications Corp..................     10.250    06/01/04     1,590,000
  700    Northland Cable Television, Inc............     10.250    11/15/07       740,250
1,350    United International Holdings, Inc. (a)....   0/10.750    02/15/08       742,500
  550    Valassis Communications, Inc...............      9.550    12/01/03       629,750
  950    Young Broadcasting, Inc....................     11.750    11/15/04     1,016,500
                                                                             ------------
                                                                               10,412,825
                                                                             ------------
         PRODUCER MANUFACTURING  0.7%
  200    Associated Materials, Inc..................      9.250    03/01/08       201,000
  500    Carpenter W. R., Inc.......................     10.625    06/15/07       508,750
  250    Numatics, Inc..............................      9.625    04/01/08       236,250
                                                                             ------------
                                                                                  946,000
                                                                             ------------
         RETAIL  4.0%
  200    Big 5 Corp.................................     10.875    11/15/07       203,000
  600    Community Distributors, Inc. ..............     10.250    10/15/04       570,000
  500    Hosiery Corp. of America, Inc..............     13.750    08/01/02       515,000
1,100    K Mart Corp. ..............................      8.250    11/21/06     1,166,000
  825    Musicland Group, Inc. .....................      9.875    03/15/08       816,750
2,090    United Stationers Supply Co. ..............     12.750    05/01/05     2,330,350
                                                                             ------------
                                                                                5,601,100
                                                                             ------------
         TELECOMMUNICATIONS  13.0%
1,200    Capstar Broadcasting Partners..............      9.250    07/01/07     1,251,000
1,625    Centennial Cellular Corp. .................      8.875    11/01/01     1,726,562
1,325    Centennial Cellular Corp. .................     10.125    05/15/05     1,643,000
  600    Century Communications Corp. ..............          *    03/15/03       449,250
  300    Century Communications Corp. ..............      9.500    03/01/05       336,375
1,300    Century Communications Corp. ..............      8.875    01/15/07     1,441,375
1,100    EZ Communications, Inc. ...................      9.750    12/01/05     1,204,500
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       14
<PAGE>   16
                      PORTFOLIO OF INVESTMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
 Par
Amount
(000)                    Description                   Coupon      Maturity  Market Value
- -----------------------------------------------------------------------------------------
<C>      <S>                                          <C>          <C>       <C>
         TELECOMMUNICATIONS (CONTINUED)
$1,300   Gray Communications Systems, Inc...........     10.625%   10/01/06  $  1,391,000
   600   Intermedia Communications of Florida,
         Inc........................................     13.500    06/01/05       685,500
   250   Intermedia Communications, Inc. ...........      8.875    11/01/07       242,500
 1,230   Intermedia Communications, Inc. ...........      8.600    06/01/08     1,174,650
 1,100   McLeod USA, Inc. ..........................      9.250    07/15/07     1,142,625
 1,450   Pegasus Communications Corp ...............      9.625    10/15/05     1,457,250
 1,300   Pinnacle Holdings, Inc. (a) ...............   0/10.000    03/15/08       780,000
 2,750   Sprint Spectrum LP.........................     11.000    08/15/06     3,190,000
                                                                             ------------
                                                                               18,115,587
                                                                             ------------
         TEXTILES  2.8%
 1,350   Dan River, Inc. ...........................     10.125    12/15/03     1,390,500
 1,905   Pillowtex Corp. ...........................     10.000    11/15/06     2,043,113
   550   Scovill Fasteners, Inc. ...................     11.250    11/30/07       478,500
                                                                             ------------
                                                                                3,912,113
                                                                             ------------
         TRANSPORTATION  1.6%
 1,220   Greyhound Lines, Inc. .....................     11.500    04/15/07     1,390,800
   825   International Shipholding Corp. ...........      9.000    07/01/03       843,563
                                                                             ------------
                                                                                2,234,363
                                                                             ------------
         UTILITIES  3.6%
 2,150   AES Corp. .................................     10.250    07/15/06     2,330,063
   400   AES Corp. .................................      8.375    08/15/07       404,000
   450   El Paso Electric Co. ......................      8.250    02/01/03       481,500
 1,050   El Paso Electric Co. ......................      8.900    02/01/06     1,176,000
   152   Midland Cogeneration Venture...............     10.330    07/23/02       162,523
 1,100   National Energy Group, Inc. (c)............     10.750    11/01/06       429,000
                                                                             ------------
                                                                                4,983,086
                                                                             ------------
TOTAL CORPORATE BONDS  90.4%...............................................   125,810,853
                                                                             ------------
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       15
<PAGE>   17
 
                      PORTFOLIO OF INVESTMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                    Description                                              Market Value
- -----------------------------------------------------------------------------------------
<S>                                                                          <C>
EQUITIES  0.0%
  Hosiery Corp. of America, Inc., (500 common shares) 144A Private
  Placement (b)............................................................  $     26,250
  Intermedia Communications of Florida, Inc., (600 common stock warrants)
  144A Private Placement (b)...............................................        29,749
  NTL, Inc., (1,662 common stock warrants) 144A Private Placement (b)......        20,782
  Petroleum Heat & Power, Inc., (2,024 convertible preferred shares) ......         2,125
  Urohealth Systems, Inc., (675 common stock warrants) 144A Private
  Placement (b)............................................................             7
                                                                             ------------
TOTAL EQUITIES.............................................................        78,913
                                                                             ------------
TOTAL LONG-TERM INVESTMENTS  90.4%
  (Cost $130,258,543)......................................................   125,889,766
REPURCHASE AGREEMENT  7.9%
  State Street Bank & Trust (Collateralized by U.S. Treasury Bonds,
  $8,990,000 par, 6.875% coupon, due 08/15/25, dated 12/31/98, to be sold
  on 01/04/99 at $10,927,472) (Cost $10,926,000)...........................    10,926,000
                                                                             ------------
TOTAL INVESTMENTS  98.3%
  (Cost $141,184,543)......................................................   136,815,766
OTHER ASSETS IN EXCESS OF LIABILITIES  1.7%................................     2,388,773
                                                                             ------------
NET ASSETS  100.0%.........................................................  $139,204,539
                                                                             ------------
</TABLE>
 
*Zero coupon bond
 
(a) Security is a "step-up" bond where the coupon increases or steps up at a
    predetermined rate.
 
(b) 144A securities are those which are exempt from registration under Rule 144A
    of the Securities Act of 1933. These securities may only be resold in
    transactions exempt from registration which are normally transactions with
    qualified institutional buyers.
 
(c) Interest is accruing at less than the stated coupon.
 
                                               See Notes to Financial Statements
 
                                       16
<PAGE>   18
 
                      STATEMENT OF ASSETS AND LIABILITIES
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                                           <C>
ASSETS:
Total Investments (Cost $141,184,543).......................  $136,815,766
Cash........................................................           322
Interest Receivable ........................................     2,917,736
Other.......................................................         1,117
                                                              ------------
      Total Assets..........................................   139,734,941
                                                              ============
                                                                 
LIABILITIES:
Payables:
  Income Distributions--Common and Preferred Shares.........       187,164
  Investment Advisory Fee...................................        88,893
  Affiliates................................................        11,051
Accrued Expenses............................................       149,607
Trustees' Deferred Compensation and Retirement Plans........        93,687
                                                              ------------
      Total Liabilities.....................................       530,402
                                                              ------------
NET ASSETS..................................................  $139,204,539
                                                              ============
NET ASSETS CONSIST OF:
Preferred Shares ($.01 par value, 1,000,000 shares
  authorized, 588 shares outstanding with liquidation
  preference of $100,000 per share).........................  $ 58,800,000
                                                              ------------
Common Shares ($.01 par value with an unlimited number of
  shares authorized,
  13,710,760 shares issued and outstanding).................       137,108
Paid in Surplus.............................................   106,631,828
Accumulated Undistributed Net Investment Income.............       147,635
Net Unrealized Depreciation.................................    (4,368,777)
Accumulated Net Realized Loss...............................   (22,143,255)
                                                              ------------
      Net Assets Applicable to Common Shares................    80,404,539
                                                              ------------
NET ASSETS..................................................  $139,204,539
                                                              ============
NET ASSET VALUE PER COMMON SHARE ($80,404,539 divided by
  13,710,760
  shares outstanding).......................................  $       5.86
                                                              ============
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       17
<PAGE>   19
 
                            STATEMENT OF OPERATIONS
 
                      For the Year Ended December 31, 1998
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                                           <C>
INVESTMENT INCOME:
Interest....................................................  $13,569,288
Dividends...................................................       86,715
Other.......................................................      400,831
                                                              -----------
    Total Income............................................   14,056,834
                                                              -----------
EXPENSES:
Investment Advisory Fee.....................................    1,083,673
Preferred Share Maintenance.................................      181,026
Custody.....................................................       18,112
Trustees' Fees and Expenses.................................       17,832
Legal.......................................................       16,898
Other.......................................................      263,884
                                                              -----------
    Total Expenses..........................................    1,581,425
                                                              -----------
NET INVESTMENT INCOME.......................................  $12,475,409
                                                              ===========
REALIZED AND UNREALIZED GAIN/LOSS:
Net Realized Gain...........................................  $   416,102
                                                              -----------
Unrealized Appreciation/Depreciation:
  Beginning of the Period...................................    3,948,231
  End of the Period.........................................   (4,368,777)
                                                              -----------
Net Unrealized Depreciation During the Period...............   (8,317,008)
                                                              -----------
NET REALIZED AND UNREALIZED LOSS............................  $(7,900,906)
                                                              ===========
NET INCREASE IN NET ASSETS FROM OPERATIONS..................  $ 4,574,503
                                                              ===========
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       18
<PAGE>   20
 
                       STATEMENT OF CHANGES IN NET ASSETS
 
                 For the Years Ended December 31, 1998 and 1997
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                         Year Ended          Year Ended
                                                      December 31, 1998   December 31, 1997
- -------------------------------------------------------------------------------------------
<S>                                                   <C>                 <C>
FROM INVESTMENT ACTIVITIES:
Operations:
Net Investment Income................................      $ 12,475,409       $  12,749,953
Net Realized Gain....................................           416,102           2,448,838
Net Unrealized Depreciation During the Period........        (8,317,008)           (652,535)
                                                           ------------       -------------
Change in Net Assets from Operations.................         4,574,503          14,546,256
                                                           ------------       -------------
Distributions from Net Investment Income:
  Common Shares......................................        (9,624,412)         (9,624,454)
  Preferred Shares...................................        (3,245,532)         (3,230,780)
                                                           ------------       -------------
Total Distributions..................................       (12,869,944)        (12,855,234)
                                                           ------------       -------------
NET CHANGE IN NET ASSETS FROM INVESTMENT
  ACTIVITIES.........................................        (8,295,441)          1,691,022
NET ASSETS:
Beginning of the Period..............................       147,499,980         145,808,958
                                                           ------------       -------------
End of the Period (Including accumulated
  undistributed net investment income of $147,635 and
  $1,108,297, respectively)..........................      $139,204,539        $147,499,980
                                                           ============       =============
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       19
<PAGE>   21
 
                              FINANCIAL HIGHLIGHTS
 
   The following schedule presents financial highlights for one common share
           of the Trust outstanding throughout the periods indicated.
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                             -----------------------------------------------
                                              1998      1997      1996      1995      1994
<S>                                          <C>       <C>       <C>       <C>       <C>
- --------------------------------------------------------------------------------------------
Net Asset Value, Beginning of the
  Period (a)...............................   $6.469    $6.346    $6.186    $5.623    $6.735
                                             -------   -------   -------   -------   -------
Net Investment Income......................     .910      .930      .946      .982     1.002
Net Realized and Unrealized Gain/Loss......    (.576)     .131      .147      .537     (.975)
                                             -------   -------   -------   -------   -------
Total from Investment Operations...........     .334     1.061     1.093     1.519      .027
                                             -------   -------   -------   -------   -------
Less Distributions from Net Investment
  Income:
  Paid to Common Shareholders..............     .702      .702      .702      .702      .954
  Common Share Equivalent of Distributions
    Paid to Preferred Shareholders.........     .237      .236      .231      .254      .185
                                             -------   -------   -------   -------   -------
Total Distributions........................     .939      .938      .933      .956     1.139
                                             -------   -------   -------   -------   -------
Net Asset Value, End of the Period.........   $5.864    $6.469    $6.346    $6.186    $5.623
                                             =======   =======   =======   =======   =======
Market Price Per Share at End of the
  Period...................................   $6.375    $7.375    $6.750    $6.375    $5.500
Total Investment Return at Market
  Price (b)................................   (4.33%)   20.29%    17.34%    29.17%   (23.22%)
Total Return at Net Asset Value (c)........    1.35%    13.69%    14.86%    23.70%    (2.54%)
Net Assets at End of the Period (In
  millions)................................   $139.2    $147.5    $145.8    $143.6    $135.9
Ratio of Expenses to Average Net Assets
  Applicable
  to Common Shares**.......................    1.85%     1.76%     1.87%     1.92%     1.96%
Ratio of Net Investment Income to Average
  Net Assets Applicable to Common
  Shares (d)...............................   10.77%    10.90%    11.58%    12.16%    13.31%
Portfolio Turnover.........................      65%      102%       92%      119%      110%
 * Non-Annualized
** Ratio of Expenses to Average Net Assets
   Including Preferred Shares..............    1.09%     1.05%     1.11%     1.12%     1.16%
</TABLE>
 
(a) Net Asset Value at January 26, 1989 of $9.300 is adjusted for common and
    preferred share offering costs of $.198 per share.
 
(b) Total Investment Return at Market Price reflects the change in market value
    of the common shares for the period indicated with reinvestment of dividends
    in accordance with the Trust's dividend reinvestment plan.
 
(c) Total Return at Net Asset Value (NAV) reflects the change in value of the
    Trust's assets with reinvestment of dividends based on NAV.
 
(d) Net Investment Income is adjusted for the common share equivalent of
    distributions paid to preferred shareholders.
 
N/A = Not Applicable
 
                                       20
<PAGE>   22
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                  January 26, 1989
                                                   (Commencement
         Year Ended December 31,                   of Investment
- -------------------------------------------        Operations) to
       1993      1992      1991      1990        December 31, 1989
<S>   <C>       <C>       <C>       <C>          <C>                <C>
- -----------------------------------------------------------------------
       $6.228    $5.924    $4.603    $7.488                  $9.102
       ------    ------    ------    ------                  ------
        1.109     1.206     1.150     1.566                   1.387
         .526      .174     1.282    (2.866)                 (1.653)
       ------    ------    ------    ------                  ------
        1.635     1.380     2.432    (1.300)                  (.266)
       ------    ------    ------    ------                  ------
         .990      .908      .840     1.083                   1.020
         .138      .168      .271      .502                    .328
       ------    ------    ------    ------                  ------
        1.128     1.076     1.111     1.585                   1.348
       ------    ------    ------    ------                  ------
       $6.735    $6.228    $5.924    $4.603                  $7.488
       ======    ======    ======    ======                  ======
       $8.125    $7.250    $6.875    $4.125                  $7.375
       26.12%    18.67%    92.24%   (32.91%)                (17.27%)*
       25.46%    21.36%    48.77%   (26.20%)                (15.58%)*
       $151.1    $144.2    $140.0    $121.9                  $187.7
        1.72%     1.87%     2.51%     2.10%                   1.56%
       14.66%    16.48%    15.86%    17.24%                  13.20%
          99%      109%       78%       57%                     33%*
        1.04%     1.11%     1.42%     1.90%                     N/A
</TABLE>
 
                                               See Notes to Financial Statements
 
                                       21
<PAGE>   23
 
                         NOTES TO FINANCIAL STATEMENTS
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
 
Van Kampen High Income Trust, formerly known as Van Kampen American Capital High
Income Trust, (the "Trust") is registered as a diversified closed-end management
investment company under the Investment Company Act of 1940, as amended. The
Trust's investment objective is to provide high current income, consistent with
preservation of capital, by investing in a portfolio of medium or lower grade
fixed-income securities, or non-rated securities of comparable quality. As of
April 1, 1999, through a resolution approved by the Board of Trustees, the Trust
may invest up to 35 percent of its total assets in securities of foreign
issuers. The Trust commenced investment operations on January 26, 1989.
 
    The following is a summary of significant accounting policies consistently
followed by the Trust in the preparation of its financial statements. The
preparation of financial statements in conformity with generally accepted
accounting principles requires management to make estimates and assumptions that
affect the reported amounts of assets and liabilities and disclosure of
contingent assets and liabilities at the date of the financial statements and
the reported amounts of revenues and expenses during the reporting period.
Actual results could differ from those estimates.
 
A. SECURITY VALUATION--Investments are stated at value using market quotations,
prices provided by market makers or estimates obtained from yield data relating
to instruments or securities with similar characteristics in accordance with
procedures established in good faith by the Board of Trustees. Short-term
securities with remaining maturities of 60 days or less are valued at amortized
cost.
 
B. SECURITY TRANSACTIONS--Security transactions are recorded on a trade date
basis. Realized gains and losses are determined on an identified cost basis. The
Trust may purchase and sell securities on a "when issued" or "delayed delivery"
basis with settlement to occur at a later date. The value of the security so
purchased is subject to market fluctuations during this period. The Trust will
maintain, in a segregated account with its custodian, assets having an aggregate
value at least equal to the amount of the when issued or delayed delivery
purchase commitments until payment is made. At December 31, 1998, there were no
when issued or delayed delivery purchase commitments.
 
    The Trust may invest in repurchase agreements, which are short-term
investments in which the Trust acquires ownership of a debt security and the
seller agrees to repurchase the security at a future time and specified price.
Repurchase agreements are fully
 
                                       22
<PAGE>   24
                   NOTES TO FINANCIAL STATEMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
collateralized by the underlying debt security. The Trust will make payment for
such securities only upon physical delivery or evidence of book entry transfer
to the account of the custodian bank. The seller is required to maintain the
value of the underlying security at not less than the repurchase proceeds due
the Trust.
 
C. INVESTMENT INCOME--Interest income is recorded on an accrual basis. Discounts
are amortized over the expected life of each applicable security.
 
D. FEDERAL INCOME TAXES--It is the Trust's policy to comply with the
requirements of the Internal Revenue Code applicable to regulated investment
companies and to distribute substantially all of its taxable income to its
shareholders. Therefore, no provision for federal income taxes is required.
 
    The Trust intends to utilize provisions of the federal income tax laws which
allow it to carry a realized capital loss forward for eight years following the
year of the loss and offset such losses against any future realized capital
gains. At December 31, 1998, the Trust had an accumulated capital loss carry
forward for tax purposes of $22,125,692 which expires between December 31, 1999
and December 31, 2003. Of this amount $19,427,104 will expire in 1999. Net
realized gains or losses differ for financial reporting and tax purposes as a
result of losses from wash sales.
 
    At December 31, 1998, for federal income tax purposes, cost of long- and
short-term investments is $141,202,106 the aggregate gross unrealized
appreciation is $2,610,115 and the aggregate gross unrealized depreciation is
$6,996,455, resulting in net unrealized depreciation on long- and short-term
investments of $4,386,340.
 
E. DISTRIBUTION OF INCOME AND GAINS--The Trust declares and pays monthly
dividends from net investment income to common shareholders. Net realized gains,
if any, are distributed annually to common shareholders.
 
    Due to inherent differences in the recognition of income, expenses and
realized gains/losses under generally accepted accounting principles and federal
income tax purposes, permanent differences between financial and tax basis
reporting for the 1998 fiscal year have been identified and appropriately
reclassified. Permanent differences relating to expenses which are not
deductible for tax purposes totaling $18,679 were reclassified from accumulated
undistributed net investment income to capital, $17,773,482 relating to a
portion of the capital loss carryforward that expired during the period was
reclassified from accumulated net realized loss to capital and $584,806 relating
to fee income was reclassified from accumulated undistributed net investment
income to accumulated net realized gains/losses.
 
                                       23
<PAGE>   25
                   NOTES TO FINANCIAL STATEMENTS (CONTINUED)
 
                               December 31, 1998
- --------------------------------------------------------------------------------
 
2. INVESTMENT ADVISORY AGREEMENT AND OTHER TRANSACTIONS WITH AFFILIATES
Under the terms of the Trust's Investment Advisory Agreement, Van Kampen
Investment Advisory Corp. (the "Adviser") will provide investment advice and
facilities to the Trust for an annual fee payable monthly of .75% of the average
net assets of the Trust.
 
    For the year ended December 31, 1998, the Trust recognized expenses of
approximately $6,500 representing legal services provided by Skadden, Arps,
Slate, Meagher & Flom (Illinois), counsel to the Trust, of which a trustee of
the Trust is an affiliated person.
 
    For the year ended December 31, 1998, the Trust recognized expenses of
approximately $61,400 representing Van Kampen Funds Inc.'s or its affiliates'
(collectively "Van Kampen") cost of providing accounting and legal services to
the Trust.
 
    Certain officers and trustees of the Trust are also officers and directors
of Van Kampen. The Trust does not compensate its officers or trustees who are
officers of Van Kampen.
 
    The Trust provides deferred compensation and retirement plans for its
trustees who are not officers of Van Kampen. Under the deferred compensation
plan, trustees may elect to defer all or a portion of their compensation to a
later date. Benefits under the retirement plan are payable for a ten-year period
and are based upon each trustee's years of service to the Trust. The maximum
annual benefit per trustee under the plan is $2,500.
 
3. INVESTMENT TRANSACTIONS
 
During the period, the cost of purchases and proceeds from sales of investments,
excluding short-term investments, were $88,612,196 and $84,896,855,
respectively.
 
4. AUCTION MARKET PREFERRED SHARES
 
The Trust has outstanding 588 shares of Auction Market Preferred Shares ("AMPS")
at a liquidation value of $100,000 per share. Dividends are cumulative and the
rate is currently reset through an auction process every 28 days. The rate in
effect on December 31, 1998, was 5.250%. During the year ended December 31,
1998, the rates ranged from 5.180% to 5.700%.
 
    The Trust pays annual fees equivalent to .25% of the preferred share
liquidation value for the remarketing efforts associated with the preferred
auctions. These fees are included as a component of Preferred Share Maintenance
expense.
 
    The AMPS are redeemable at the option of the Trust in whole or in part at a
price of $100,000 per share plus accumulated and unpaid dividends. The Trust is
subject to certain asset coverage tests, and the AMPS are subject to mandatory
redemption if the tests are not met.
 
                                       24
<PAGE>   26
 
                       REPORT OF INDEPENDENT ACCOUNTANTS
 
The Board of Trustees and Shareholders of
 
Van Kampen High Income Trust:
 
We have audited the accompanying statement of assets and liabilities of Van
Kampen High Income Trust (the "Trust"), including the portfolio of investments,
as of December 31, 1998, and the related statement of operations for the year
then ended, the statement of changes in net assets for each of the two years in
the period then ended, and the financial highlights for each of the periods
presented. These financial statements and financial highlights are the
responsibility of the Trust's management. Our responsibility is to express an
opinion on these financial statements and financial highlights based on our
audits.
 
    We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and financial
highlights are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements. Our procedures included confirmation of securities owned as of
December 31, 1998 by correspondence with the custodian. An audit also includes
assessing the accounting principles used and significant estimates made by
management, as well as evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for our opinion.
 
    In our opinion, the financial statements and financial highlights referred
to above present fairly, in all material respects, the financial position of Van
Kampen High Income Trust as of December 31, 1998, 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 periods
presented, in conformity with generally accepted accounting principles.
 
                                                                        KPMG LLP
Chicago, Illinois
February 4, 1999
 
                                       25
<PAGE>   27
 
                           DIVIDEND REINVESTMENT PLAN
The Trust offers a Dividend Reinvestment Plan (the "Plan") in which Common
Shareholders may elect to have dividends and capital gains distributions
automatically reinvested in Common Shares of the Trust. The service is entirely
voluntary and you may join or withdraw at any time.
 
HOW TO PARTICIPATE
If you wish to elect to participate in the Plan and your shares are held in your
own name, call 1-800-341-2929 for more information and a brochure. If your
shares are held in the name of a brokerage firm, bank, or other nominee, you
should contact your nominee to see if it would participate in the Plan on your
behalf. If you wish to participate in the Plan, but your brokerage firm, bank,
or nominee is unable to participate on your behalf, you should request that your
shares be re-registered in your own name which will enable your participation in
the Plan.
 
HOW THE PLAN WORKS
State Street Bank and Trust Company, as your Plan Agent, serves as agent for the
Common Shareholders in administering the Plan. After the Trust declares a
dividend or determines to make a capital gains distribution, the Plan Agent
will, as agent for the participants, receive the cash payment and use it to buy
Common Shares in the open market, on the New York Stock Exchange or elsewhere,
for the participants' accounts. The Trust will not issue any new Common Shares
in connection with the Plan. All reinvestments are in full and fractional Common
Shares, carried to three decimal places.
    Experience under the Plan may indicate that changes are desirable.
Accordingly, the Trust reserves the right to amend or terminate the Plan as
applied to any dividend or capital gains distribution paid subsequent to written
notice of the change sent to all Common Shareholders of the Trust at least 90
days before the record date for the dividend or distribution. The Plan also may
be amended or terminated by the Plan Agent, with the written consent of the
Trust, by providing at least 90 days written notice to all Participants in the
Plan.
 
COSTS OF THE PLAN
The Plan Agent's fees for the handling of the reinvestment of dividends and
distributions will be paid by the Trust. However, each participant will pay a
pro rata share of brokerage commissions incurred with respect to the Plan
Agent's open market purchases in connection with the reinvestment of dividends
and distributions. No other charges will be made to participants for reinvesting
dividends or capital gains distributions, except for certain brokerage
commissions, as described above.
 
TAX IMPLICATIONS
You will receive tax information annually for your personal records and to help
you prepare your federal income tax return. The automatic reinvestment of
dividends and capital gains distributions does not relieve you of any income tax
which may be payable on dividends or capital gains distributions.
 
RIGHT TO WITHDRAW
You may withdraw from the Plan at any time by calling 1-800-341-2929 or by
writing State Street Bank and Trust Company. If you withdraw, you will receive,
without charge, a share certificate issued in your name for all full Common
Shares credited to your account under the Plan, and a cash payment will be made
for any fractional Common Share credited to your account under the Plan. You may
again elect to participate in the Plan at any time by calling 1-800-341-2929 or
writing to the Trust at:
         2800 Post Oak Blvd., Houston, TX 77056, Attn: Closed-End Funds
 
                                       26
<PAGE>   28
 
                          VAN KAMPEN HIGH INCOME TRUST
 
BOARD OF TRUSTEES
 
DAVID C. ARCH

ROD DAMMEYER

HOWARD J KERR

DENNIS J. MCDONNELL*--Chairman

STEVEN MULLER

THEODORE A. MYERS

DON G. POWELL*

HUGO F. SONNENSCHEIN

WAYNE W. WHALEN*
 
OFFICERS
 
DENNIS J. MCDONNELL*
President
 
JOHN L. SULLIVAN*
Vice President, Treasurer and Chief Financial Officer
 
CURTIS W. MORELL*
Vice President and Chief Accounting Officer
 
TANYA M. LODEN*
Controller
 
PETER W. HEGEL*
EDWARD C. WOOD, III*
Vice Presidents

INVESTMENT ADVISER
 
VAN KAMPEN
INVESTMENT ADVISORY CORP.
1 Parkview Plaza
P.O. Box 5555
Oakbrook Terrace, Illinois 60181-5555
 
CUSTODIAN AND TRANSFER AGENT
 
STATE STREET BANK
AND TRUST COMPANY
225 Franklin Street
P.O. Box 1713
Boston, Massachusetts 02105
 
LEGAL COUNSEL
 
SKADDEN, ARPS, SLATE,
MEAGHER & FLOM (ILLINOIS)
333 West Wacker Drive
Chicago, Illinois 60606
 
INDEPENDENT ACCOUNTANTS
 
KPMG LLP
303 East Wacker Drive
Chicago, Illinois 60601
 
* "Interested" persons of the Trust, as defined in the Investment Company Act of
  1940.
 
(C) Van Kampen Funds Inc., 1999. All rights reserved.
 
(SM) denotes a service mark of Van Kampen Funds Inc.
 
                                       27
<PAGE>   29
 
                          RESULTS OF SHAREHOLDER VOTES
 
    The Annual Meeting of Shareholders of the Trust was held on July 28, 1998,
where shareholders voted on the election of trustees and the selection of
independent public accountants.
 
    1) With regard to the election of the following trustees by the preferred
shareholders of the Trust:
 
<TABLE>
<CAPTION>
                                                         # OF SHARES
                                                     -------------------
                                                     IN FAVOR   WITHHELD
- ------------------------------------------------------------------------
<S>                                                  <C>        <C>
Theodore A. Myers...................................     344        0
</TABLE>
 
    2) With regard to the election of the following trustees by the common
shareholders of the Trust:
 
<TABLE>
<CAPTION>
                                                       # OF SHARES
                                                  ---------------------
                                                   IN FAVOR    WITHHELD
- -----------------------------------------------------------------------
<S>                                               <C>          <C>
Don G. Powell.................................... 10,819,994   168,771
Hugo F. Sonnenschein............................. 10,807,120   181,645
</TABLE>
 
The other trustees of the Trust whose terms did not expire in 1998 are David C.
Arch, Rod Dammeyer, Howard J Kerr, Dennis J. McDonnell, Steven Muller and Wayne
W. Whalen.
 
    3) With regard to the ratification of KPMG LLP as independent public
accountants for the Trust, 10,783,694 shares voted in favor of the proposal,
81,062 shares voted against and 124,353 shares abstained.
 
                                       28
<PAGE>   30
 
                         YEAR 2000 READINESS DISCLOSURE
 
Like other mutual funds, financial and business organizations and individuals
around the world, the Trust could be adversely affected if the computer systems
used by the Trust's investment adviser and other service providers do not
properly process and calculate date-related information and data from and after
January 1, 2000. This is commonly known as the "Year 2000 Problem." The Trust's
investment adviser is taking steps that it believes are reasonably designed to
address the Year 2000 Problem with respect to computer systems that it uses and
to obtain reasonable assurances that comparable steps are being taken by the
Trust's other major service providers. At this time, there can be no assurances
that these steps will be sufficient to avoid any adverse impact to the Trust. In
addition, the Year 2000 Problem may adversely affect the markets and the issuers
of securities in which the Trust may invest that, in turn, may adversely affect
the net asset value of the Trust. Improperly functioning trading systems may
result in settlement problems and liquidity issues. In addition, corporate and
governmental data processing errors may result in production problems for
individual companies or issuers and overall economic uncertainty. Earnings of
individual issuers will be affected by remediation costs, which may be
substantial and may be reported inconsistently in U.S. and foreign financial
statements. Accordingly, the Trust's investments may be adversely affected. The
statements above are subject to the Year 2000 Information and Readiness
Disclosure Act, which may limit the legal rights regarding the use of such
statements in the case of dispute.

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 11
   <NAME> HIGH INCOME TRUST
<MULTIPLIER> 1
       
<S>                             <C>
<PERIOD-TYPE>                   12-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-START>                             JAN-01-1998
<PERIOD-END>                               DEC-31-1998
<INVESTMENTS-AT-COST>                      141,184,543        
<INVESTMENTS-AT-VALUE>                     136,815,766        
<RECEIVABLES>                                2,917,736        
<ASSETS-OTHER>                                   1,117        
<OTHER-ITEMS-ASSETS>                               322        
<TOTAL-ASSETS>                             139,734,941        
<PAYABLE-FOR-SECURITIES>                             0        
<SENIOR-LONG-TERM-DEBT>                              0        
<OTHER-ITEMS-LIABILITIES>                      530,402        
<TOTAL-LIABILITIES>                            530,402        
<SENIOR-EQUITY>                             58,800,000        
<PAID-IN-CAPITAL-COMMON>                   106,768,936        
<SHARES-COMMON-STOCK>                       13,710,760        
<SHARES-COMMON-PRIOR>                       13,710,760        
<ACCUMULATED-NII-CURRENT>                      147,635        
<OVERDISTRIBUTION-NII>                               0        
<ACCUMULATED-NET-GAINS>                   (22,143,255)        
<OVERDISTRIBUTION-GAINS>                             0        
<ACCUM-APPREC-OR-DEPREC>                   (4,368,777)        
<NET-ASSETS>                               139,204,539        
<DIVIDEND-INCOME>                               86,715        
<INTEREST-INCOME>                           13,569,288        
<OTHER-INCOME>                                 400,831        
<EXPENSES-NET>                             (1,581,425)        
<NET-INVESTMENT-INCOME>                     12,475,409        
<REALIZED-GAINS-CURRENT>                       416,102        
<APPREC-INCREASE-CURRENT>                  (8,317,008)        
<NET-CHANGE-FROM-OPS>                        4,574,503        
<EQUALIZATION>                                       0        
<DISTRIBUTIONS-OF-INCOME>                 (12,869,944)        
<DISTRIBUTIONS-OF-GAINS>                             0        
<DISTRIBUTIONS-OTHER>                                0        
<NUMBER-OF-SHARES-SOLD>                              0        
<NUMBER-OF-SHARES-REDEEMED>                          0        
<SHARES-REINVESTED>                                  0        
<NET-CHANGE-IN-ASSETS>                     (8,295,441)        
<ACCUMULATED-NII-PRIOR>                      1,108,297        
<ACCUMULATED-GAINS-PRIOR>                 (40,917,645)        
<OVERDISTRIB-NII-PRIOR>                              0        
<OVERDIST-NET-GAINS-PRIOR>                           0        
<GROSS-ADVISORY-FEES>                        1,083,673        
<INTEREST-EXPENSE>                                   0        
<GROSS-EXPENSE>                              1,581,425        
<AVERAGE-NET-ASSETS>                        85,692,261        
<PER-SHARE-NAV-BEGIN>                            6.469        
<PER-SHARE-NII>                                  0.910        
<PER-SHARE-GAIN-APPREC>                        (0.576)        
<PER-SHARE-DIVIDEND>                           (0.939)        
<PER-SHARE-DISTRIBUTIONS>                        0.000        
<RETURNS-OF-CAPITAL>                             0.000        
<PER-SHARE-NAV-END>                              5.864        
<EXPENSE-RATIO>                                   1.85        
<AVG-DEBT-OUTSTANDING>                               0        
<AVG-DEBT-PER-SHARE>                                 0        
        

</TABLE>


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