AIM INVESTMENT FUNDS
497, 1998-06-03
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<PAGE>
                            AIM GLOBAL INCOME FUNDS:
                                 ADVISOR CLASS
                           PROSPECTUS -- JUNE 1, 1998
- --------------------------------------------------------------------------------
 
AIM GLOBAL GOVERNMENT INCOME FUND ("GOVERNMENT INCOME FUND") seeks a high level
of current income by investing primarily in high quality U.S. and foreign
government debt securities. The Fund's secondary objectives are capital
appreciation and protection of principal through active management of its
maturity structure and currency exposure.
 
AIM STRATEGIC INCOME FUND ("STRATEGIC INCOME FUND") primarily seeks high current
income and secondarily seeks capital appreciation. The Fund allocates its assets
among debt securities of issuers in: (1) the United States; (2) developed
foreign countries; and (3) emerging markets.
 
AIM GLOBAL HIGH INCOME FUND ("HIGH INCOME FUND") primarily seeks high current
income and secondarily seeks capital appreciation by investing all of its
investable assets in the Global High Income Portfolio ("Portfolio"), which, in
turn, invests primarily in the debt securities of issuers located in emerging
markets. The Portfolio's investment objectives are identical to those of the
Fund.
 
There can be no assurance that any Fund or the Portfolio will achieve its
investment objectives. The investment experience of the High Income Fund will
correspond directly with the investment experience of the Portfolio.
 
FUND SHARES ARE NOT DEPOSITS OR OBLIGATIONS OF, OR ENDORSED OR GUARANTEED BY,
ANY BANK, NOR ARE THEY FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD, OR ANY OTHER AGENCY.
 
The Funds and the Portfolio are managed by A I M Advisors, Inc. ("AIM") and are
sub-advised and sub-administered by INVESCO (NY), Inc. (the "Sub-adviser"). AIM
and the Sub-adviser and their worldwide asset management affiliates provide
investment management and/or administrative services to institutional, corporate
and individual clients around the world. AIM and the Sub-adviser are both
indirect wholly owned subsidiaries of AMVESCAP PLC. AMVESCAP PLC and its
subsidiaries are an independent investment management group that has a
significant presence in the institutional and retail segment of the investment
management industry in North America and Europe, and a growing presence in Asia.
 
The Funds are designed for long-term investors and not as trading vehicles, do
not represent a complete investment program and are not suitable for all
investors. An investment in any of the Funds involves risk factors that should
be reviewed carefully by potential investors. The Strategic Income Fund and the
Portfolio both are authorized to borrow money for investment purposes, which
would increase the volatility of their performance and involves additional
risks. See "Investment Objectives and Policies" and "Risk Factors."
 
THE STRATEGIC INCOME FUND INVESTS UP TO 50% OF ITS TOTAL ASSETS, AND THE
PORTFOLIO INVESTS UP TO 100% OF ITS TOTAL ASSETS, IN LOWER QUALITY AND UNRATED
FOREIGN GOVERNMENT BONDS WHOSE CREDIT QUALITY IS GENERALLY CONSIDERED THE
EQUIVALENT OF U.S. CORPORATE DEBT SECURITIES COMMONLY KNOWN AS "JUNK BONDS."
INVESTMENTS OF THIS TYPE ARE SUBJECT TO A GREATER RISK OF LOSS OF PRINCIPAL AND
INTEREST. PURCHASERS SHOULD CAREFULLY ASSESS THE RISKS ASSOCIATED WITH AN
INVESTMENT IN THESE FUNDS. SEE "INVESTMENT OBJECTIVES AND POLICIES" AND "RISK
FACTORS."
 
Shares offered by this Prospectus are available for purchase only by certain
investors and are offered at net asset value without the imposition of a front-
end or contingent deferred sales charge or Rule 12b-1 fees.
 
This Prospectus sets forth concisely information an investor should know before
investing and should be read carefully and retained for future reference. A
Statement of Additional Information, dated June 1, 1998, has been filed with the
Securities and Exchange Commission ("SEC") and, as supplemented or amended from
time to time, is incorporated herein by reference. The Statement of Additional
Information is available without charge by writing to the Funds at 50 California
Street, 27th Floor, San Francisco, CA 94111, or by calling (800) 347-4246. It is
also available, along with other related materials, on the SEC's Internet web
site (http://www.sec.gov).
 
FOR FURTHER INFORMATION, CALL (800) 824-1580 OR CONTACT YOUR FINANCIAL ADVISER.
 
                                     [LOGO]
 
- --------------------------------------------------------------------------------
 
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES
 AND EXCHANGE COMMISSION, NOR HAS THE SECURITIES AND EXCHANGE COMMISSION
   PASSED ON THE ACCURACY OR ADEQUACY OF THIS PROSPECTUS.
              ANY REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.
 
                               Prospectus Page 1
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               TABLE OF CONTENTS
- ------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                              Page
                                                                                            ---------
<S>                                                                                         <C>
Prospectus Summary........................................................................          3
Financial Highlights......................................................................          6
Investment Objectives and Policies........................................................         12
Risk Factors..............................................................................         21
How to Invest.............................................................................         27
How to Make Exchanges.....................................................................         29
How to Redeem Shares......................................................................         30
Shareholder Account Manual................................................................         32
Calculation of Net Asset Value............................................................         33
Dividends, Other Distributions and Federal Income Taxation................................         34
Management................................................................................         36
Other Information.........................................................................         39
Appendix A -- Description of Debt Ratings.................................................         42
</TABLE>
 
                               Prospectus Page 2
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               PROSPECTUS SUMMARY
- ------------------------------------------------------------
The following summary is qualified in its entirety by the more detailed
information appearing in the body of this Prospectus. Cross-references in the
summary are to headings in the body of this Prospectus.
 
<TABLE>
<S>                            <C>                                               <C>
The Funds and the Portfolio:   Each Fund is a non-diversified series of AIM Investment Funds, Inc. (the "Company"). The Portfolio is
                               a non-diversified, open-end management investment company.
Investment Objectives:         The Government Income Fund primarily seeks high current income and secondarily seeks capital
                               appreciation and protection of principal. The Strategic Income Fund and the High Income Fund
                               primarily seek high current income and secondarily seek capital appreciation.
Principal Investments:         The Government Income Fund invests primarily in high quality U.S. and foreign government debt
                               obligations.
                               The Strategic Income Fund allocates its assets among debt securities of issuers in: (1) the United
                               States; (2) developed foreign countries; and (3) emerging markets, and selects particular securities
                               in each sector based on their relative investment merit.
                               The High Income Fund invests all of its investable assets in the Portfolio, which, in turn, invests
                               primarily in debt securities of issuers located in emerging markets.
Principal Risk Factors:        There is no assurance that the Funds or the Portfolio will achieve their investment objectives. Each
                               Fund's net asset value will fluctuate, reflecting fluctuations in the market value of its or its
                               corresponding Portfolio's portfolio holdings. The value of debt securities held by the Government
                               Income Fund, Strategic Income Fund and Portfolio generally fluctuates with interest rate movements.
                               The Government Income Fund, Strategic Income Fund and Portfolio will invest in foreign securities.
                               Investments in foreign securities involve risks relating to political and economic developments
                               abroad and the differences between the regulations to which U.S. and foreign issuers are subject.
                               Individual foreign economies also may differ favorably or unfavorably from the U.S. economy. Changes
                               in foreign currency exchange rates will affect a Fund's or the Portfolio's net asset value, earnings
                               and gains and losses realized on sales of securities. Securities of foreign companies may be less
                               liquid and their prices more volatile than those of securities of comparable U.S. companies. The
                               Portfolio will normally invest at least 65% of its total assets in debt securities of issuers in
                               emerging markets and the Strategic Income Fund may invest in such securities. Such investments entail
                               greater risk than investing in securities of issuers in developed markets.
                               The Government Income Fund, Strategic Income Fund and Portfolio may engage in certain foreign
                               currency, options and futures transactions to attempt to hedge against the overall level of
                               investment and currency risk associated with its present or planned investments. Such transactions
                               involve certain risks and transaction costs.
                               The Strategic Income Fund may invest up to 50% of its total assets, and the Portfolio may invest up
                               to 100% of its total assets, in debt securities rated below investment grade or, if not rated,
                               determined by the Sub-adviser to be of comparable quality. Investments of this type are subject to
                               greater risk of loss of principal and interest.
                               See "Investment Objectives and Policies" and "Risk Factors."
</TABLE>
 
                               Prospectus Page 3
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               PROSPECTUS SUMMARY
                                  (Continued)
- --------------------------------------------------------------------------------
<TABLE>
<S>                            <C>                                               <C>
Investment Managers:           AIM and the Sub-adviser and their worldwide asset management affiliates provide investment management
                               and/or administrative services to institutional, corporate and individual clients around the world.
                               AIM and the Sub-adviser are both indirect wholly owned subsidiaries of AMVESCAP PLC. AMVESCAP PLC and
                               its subsidiaries are an independent investment management group that has a significant presence in
                               the institutional and retail segment of the investment management industry in North America and
                               Europe, and a growing presence in Asia. AIM was organized in 1976 and, together with its affiliates,
                               currently advises approximately 90 investment company portfolios. AIM advises the Funds and other
                               investment company portfolios which are sub-advised by the Sub-adviser ("AIM/GT Funds"). On May 29,
                               1998, AMVESCAP PLC acquired the Asset Management Division of Liechtenstein Global Trust AG, which
                               included the Sub-adviser and certain other affiliates. AIM also serves as the investment adviser to
                               other mutual funds, which are not sub-advised by the Sub-adviser, that are part of The AIM Family of
                               Funds-Registered Trademark- ("The AIM Family of Funds," and together with the AIM/GT Funds, the "AIM
                               Funds").
Advisor Class Shares:          Advisor Class shares are offered through a separate Prospectus to (a) trustees or other fiduciaries
                               purchasing shares for employee benefit plans which are sponsored by organizations which have at least
                               1,000 employees; (b) any account with assets of at least $10,000 if (i) a financial planner, trust
                               company, bank trust department or registered investment adviser has investment discretion over such
                               account, and (ii) the account holder pays such person as compensation for its advice and other
                               services an annual fee of at least .50% on the assets in the account; (c) any account with assets of
                               a least $10,000 if (i) such account is established under a "wrap fee" program, and (ii) the account
                               holder pays the sponsor of such program an annual fee of at least .50% on the assets in the account;
                               (d) accounts advised by INVESCO (NY), Inc. or one of the companies formerly affiliated with
                               Liechtenstein Global Trust AG, provided such accounts were invested in Advisor Class shares of any of
                               the AIM/GT Funds on June 1, 1998; and (e) any of the companies composing or affiliated with AMVESCAP
                               PLC.
Shares Available Through:      Advisor Class shares of each Fund are available through Financial Advisers (as defined herein) that
                               have entered into agreements with the Funds' distributor, A I M Distributors, Inc. ("AIM
                               Distributors") or certain of its affiliates. See "How to Invest" and "Shareholder Account Manual."
Exchange Privileges:           Advisor Class shares may be exchanged for Advisor Class shares of other AIM/GT Funds. See "How to
                               Make Exchanges" and "Shareholder Account Manual."
Redemptions:                   Shares may be redeemed through the Transfer Agent. See "How to Redeem Shares" and "Shareholder
                               Account Manual."
Dividends and Other            Dividends are paid monthly from net investment income; other distributions are paid annually from net
  Distributions:               short term capital gain, net capital gain and net gains from foreign currency transactions, if any.
Reinvestment:                  Dividends and other distributions may be reinvested automatically in Advisor Class shares of the
                               distributing Fund or in Advisor Class shares of other AIM/GT Funds.
</TABLE>
 
THE AIM FAMILY OF FUNDS, THE AIM FAMILY OF FUNDS AND DESIGN (I.E., THE AIM
LOGO), AIM AND DESIGN, AIM, AIM LINK, AIM INSTITUTIONAL FUNDS, AIMFUNDS.COM, LA
FAMILIA AIM DE FONDOS AND LA FAMILIA AIM DE FONDOS AND DESIGN ARE REGISTERED
SERVICE MARKS AND INVEST WITH DISCIPLINE AND AIM BANK CONNECTION ARE SERVICE
MARKS OF A I M MANAGEMENT GROUP INC.
 
                               Prospectus Page 4
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               PROSPECTUS SUMMARY
                                  (Continued)
- --------------------------------------------------------------------------------
 
SUMMARY OF INVESTOR COSTS. The expenses and maximum transaction costs associated
with investing in the Advisor Class shares of the Funds are reflected in the
following tables (1):
 
<TABLE>
<CAPTION>
                                                                              GOVERNMENT        STRATEGIC       HIGH INCOME
                                                                              INCOME FUND      INCOME FUND         FUND
                                                                            ---------------  ---------------  ---------------
                                                                             ADVISOR CLASS    ADVISOR CLASS    ADVISOR CLASS
                                                                            ---------------  ---------------  ---------------
<S>                                                                         <C>              <C>              <C>
SHAREHOLDER TRANSACTION COSTS:
  Maximum sales charge on purchases of shares (as a % of offering
   price).................................................................          None             None             None
  Sales charges on reinvested distributions to shareholders...............          None             None             None
  Maximum deferred sales charge (as a % of net asset value at time of
   purchase or sale, whichever is less)...................................          None             None             None
  Redemption charges......................................................          None             None             None
  Exchange fees...........................................................          None             None             None
 
ANNUAL FUND OPERATING EXPENSES (2):
 (AS A % OF AVERAGE NET ASSETS)
  Investment management and administration fees...........................         0.73%            0.73%            0.90%
  12b-1 distribution and service fees.....................................          None             None             None
  Other expenses..........................................................         0.43%            0.36%            0.33%
                                                                                  ------           ------           ------
  Total Fund Operating Expenses...........................................         1.16%            1.09%            1.23%
                                                                                  ------           ------           ------
                                                                                  ------           ------           ------
</TABLE>
 
HYPOTHETICAL EXAMPLE OF EFFECT OF EXPENSES (3):
 
An investor would have directly or indirectly paid the following expenses at the
end of the periods shown on a $1,000 investment in the Funds, assuming a 5%
annual return:
 
<TABLE>
<CAPTION>
                                                                 ONE YEAR     THREE YEARS     FIVE YEARS     TEN YEARS
                                                                  -----          ------         -----          -----
<S>                                                            <C>            <C>            <C>            <C>
  Government Income Fund
  Advisor Class Shares......................................   $        12    $        37    $        64    $       142
  Strategic Income Fund
  Advisor Class Shares......................................   $        11    $        35    $        60    $       133
  High Income Fund
  Advisor Class Shares......................................   $        13    $        39    $        68    $       150
</TABLE>
 
- ------------------------------
 
(1) THESE TABLES ARE INTENDED TO ASSIST INVESTORS IN UNDERSTANDING THE VARIOUS
    COSTS AND EXPENSES ASSOCIATED WITH INVESTING IN A FUND.
 
(2) Expenses are based on the Funds' fiscal year ended October 31, 1997. "Other
    expenses" include custody, transfer agent, legal, audit and other operating
    expenses. See "Management" herein and the Statement of Additional
    Information for more information. Investors purchasing Advisor Class shares
    through financial planners, trust companies, bank trust departments or
    registered investment advisers, or under a "wrap fee" program, will be
    subject to additional fees charged by such entities or by the sponsors of
    such programs. Where any account advised by one of the companies composing
    or affiliated with AMVESCAP PLC invests in Advisor Class shares of a Fund,
    such account shall not be subject to duplicative advisory fees. The Board of
    Directors of the Company believes that the aggregate per share expenses of
    the High Income Fund and the Portfolio will be less than or approximately
    equal to the expenses which the Fund would incur if the assets of that Fund
    were invested directly in the type of securities being held by the
    Portfolio.
 
(3) THE "HYPOTHETICAL EXAMPLE" IS NOT A REPRESENTATION OF PAST OR FUTURE
    EXPENSES. THE FUNDS' AND THE PORTFOLIO'S ACTUAL EXPENSES, AND AN INVESTOR'S
    DIRECT AND INDIRECT EXPENSES, MAY BE MORE OR LESS THAN THOSE SHOWN. The
    tables and the assumption in the Hypothetical Example of a 5% annual return
    are required by regulation of the SEC applicable to all mutual funds; the 5%
    annual return is not a prediction of and does not represent the Funds' or
    the Portfolio's projected or actual performance.
 
                               Prospectus Page 5
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
 
The tables below provide condensed financial information concerning income and
capital changes for one Class A and Advisor Class share of each Fund for the
periods shown. For the period March 29, 1988 (commencement of operations) to
October 21, 1992, the Strategic Income Fund was named G.T. Global Bond Fund and
operated under different investment objectives, policies and limitations. This
information is supplemented by the financial statements and accompanying notes
appearing in the Statement of Additional Information. The financial statements
and notes for fiscal year ended October 31, 1997 have been audited by Coopers &
Lybrand L.L.P. independent accountants, whose report thereon also is included in
the Statement of Additional Information.
 
                             GOVERNMENT INCOME FUND
                  (FORMERLY GT GLOBAL GOVERNMENT INCOME FUND)
 
<TABLE>
<CAPTION>
                                                        CLASS A+
                      ----------------------------------------------------------------------------
                                                  YEAR ENDED OCT. 31,
                      ----------------------------------------------------------------------------
                      1997(c)     1996      1995(c)   1994(c)     1993(c)       1992        1991
                      --------  --------    --------  --------    --------    --------    --------
<S>                   <C>       <C>         <C>       <C>         <C>         <C>         <C>
Per Share Operating
 Performance:
Net asset value,
 beginning of
 period.............  $   8.74  $   8.81    $   8.63  $  11.07    $   9.83    $  10.29    $  10.46
                      --------  --------    --------  --------    --------    --------    --------
Income from
 investment
 operations:
  Net investment
   income...........      0.52      0.57        0.62      0.65        0.74        0.92        0.99
  Net realized and
   unrealized gain
   (loss) on
   investments......     (0.13)     0.03        0.15     (1.52)       1.34       (0.31)      (0.07)
                      --------  --------    --------  --------    --------    --------    --------
    Net increase
     (decrease) from
     investment
     operations.....      0.39      0.60        0.77     (0.87)       2.08        0.61        0.92
                      --------  --------    --------  --------    --------    --------    --------
Distributions:
  From net
   investment
   income...........     (0.31)    (0.57)      (0.59)    (0.65)      (0.74)      (0.83)      (1.00)
  From net realized
   gain on
   investments......        --     (0.10)         --     (0.27)         --       (0.13)      (0.09)
  In excess of net
   investment
   income...........     (0.20)       --          --        --          --          --          --
  In excess of net
   realized gain on
   investments......        --        --          --     (0.55)         --          --          --
  Return of
   capital..........        --        --          --     (0.10)         --          --          --
  From sources other
   than net
   investment
   income...........        --        --          --        --       (0.10)      (0.11)         --
                      --------  --------    --------  --------    --------    --------    --------
    Total
    distributions...     (0.51)    (0.67)      (0.59)    (1.57)      (0.84)      (1.07)      (1.09)
                      --------  --------    --------  --------    --------    --------    --------
Net asset value, end
 of period..........  $   8.62  $   8.74    $   8.81  $   8.63    $  11.07    $   9.83    $  10.29
                      --------  --------    --------  --------    --------    --------    --------
                      --------  --------    --------  --------    --------    --------    --------
Total investment
 return (d).........     4.78%     7.11%       9.22%   (8.87)%       21.9%        6.3%        9.4%
Ratios and
 supplemental data:
Net assets, end of
 period (in
 000's).............  $154,272  $240,945    $385,404  $502,094    $708,301    $623,387    $399,200
Ratio of net
 investment income
 to average net
 assets.............     6.04%     6.52%       6.98%     6.87%        7.1%        9.0%        9.5%
Ratio of expenses to
 average net assets:
  With expense
   reductions.......     1.34%     1.34%       1.35%     1.33%        1.4%        1.6%        1.6%
  Without expense
   reductions.......     1.51%     1.39%       1.38%       N/A         N/A         N/A         N/A
Portfolio turnover
 rate ++++..........      241%      268%        385%      625%        495%        351%        326%
</TABLE>
 
- ------------------------------
 
+    All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 
+++  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 
++++ Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares issued.
 
*    Net of $0.01 per share of Fund operating expenses reimbursed by the
     Sub-adviser.
 
(a)  Not annualized.
 
(b)  Annualized.
 
(c)  These selected per share data were calculated based upon average shares
     outstanding during the period.
 
(d)  Total investment return does not include sales charges.
 
N/A  Not Applicable.
 
                               Prospectus Page 6
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             GOVERNMENT INCOME FUND
                                  (CONTINUED)
 
<TABLE>
<CAPTION>
                                                          CLASS A+                         ADVISOR CLASS+++
                                          ----------------------------------------   ----------------------------
                                                                  MARCH 29, 1988       YEAR ENDED    JUNE 1, 1995
                                           YEAR ENDED OCT. 31,     (COMMENCEMENT        OCT. 31,          TO
                                          ---------------------  OF OPERATIONS) TO   --------------    OCT. 31,
                                            1990         1989      OCT. 31, 1988      1997    1996     1995(c)
                                          --------     --------  -----------------   ------  ------  ------------
<S>                                       <C>          <C>       <C>                 <C>     <C>     <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $  10.45     $  10.86       $ 11.43        $ 8.73  $ 8.80     $ 8.98
                                          --------     --------      --------        ------  ------  ------------
Income from investment operations:
  Net investment income.................      1.18         1.15          0.49*         0.55    0.60       0.26
  Net realized and unrealized gain
   (loss) on investments................     (0.02)       (0.35)       (0.44)         (0.13)   0.03     (0.19)
                                          --------     --------      --------        ------  ------  ------------
    Net increase (decrease) from
     investment operations..............      1.16         0.80          0.05          0.42    0.63       0.07
                                          --------     --------      --------        ------  ------  ------------
Distributions:
  From net investment income............     (1.15)       (1.20)       (0.49)         (0.33) (0.60)     (0.25)
  From net realized gain on
   investments..........................        --           --        (0.12)            --  (0.10)         --
  In excess of net investment income....        --           --            --         (0.21)     --         --
  In excess of net realized gain on
   investments..........................        --           --            --            --      --         --
  Return of capital.....................        --           --            --            --      --         --
  From sources other than net investment
   income...............................        --        (0.01)       (0.01)            --      --         --
                                          --------     --------      --------        ------  ------  ------------
    Total distributions.................     (1.15)       (1.21)       (0.62)         (0.54) (0.70)     (0.25)
                                          --------     --------      --------        ------  ------  ------------
Net asset value, end of period..........  $  10.46     $  10.45       $ 10.86        $ 8.61  $ 8.73     $ 8.80
                                          --------     --------      --------        ------  ------  ------------
                                          --------     --------      --------        ------  ------  ------------
Total investment return (d).............     11.9%         7.2%         1.10%(a)      5.15%   7.49%      0.83%(a)
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $259,726     $122,526       $57,063        $  116  $   86     $  131
Ratio of net investment income to
 average net assets.....................     11.4%        10.7%         7.41%*(b)     6.39%   6.87%      7.33%(b)
Ratio of expenses to average net assets:
  With expense reductions...............      1.8%         1.7%         1.80%*(b)     0.99%   0.99%      1.00%(b)
  Without expense reductions............       N/A          N/A           N/A         1.16%   1.04%      1.03%(b)
Portfolio turnover rate ++++............      334%         413%          291%(b)       241%    268%       385%
</TABLE>
 
- ------------------------------
 
+    All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 
+++  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 
++++ Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares issued.
 
*    Net of $0.01 per share of Fund operating expenses reimbursed by the
     Sub-adviser.
 
(a)  Not annualized.
 
(b)  Annualized.
 
(c)  These selected per share data were calculated based upon shares outstanding
     during the period.
 
(d)  Total investment return does not include sales charges.
 
N/A  Not Applicable.
 
                       ----------------------------------
 
<TABLE>
<CAPTION>
                                                   AVERAGE MONTHLY     AVERAGE MONTHLY
                                                   AMOUNT OF DEBT         NUMBER OF        AVERAGE AMOUNT
                                 AMOUNT OF DEBT      OUTSTANDING     REGISTRANT'S SHARES     OF DEBT PER
                                 OUTSTANDING AT      DURING THE          OUTSTANDING        SHARE DURING
YEAR ENDED                       END OF PERIOD         PERIOD         DURING THE PERIOD      THE PERIOD
- ------------------------------  ----------------  -----------------  -------------------  -----------------
<S>                             <C>               <C>                <C>                  <C>
October 31, 1997..............    $  4,451,000      $   1,616,315          38,476,908         $  0.0420
</TABLE>
 
                               Prospectus Page 7
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             STRATEGIC INCOME FUND
                   (FORMERLY GT GLOBAL STRATEGIC INCOME FUND)
 
<TABLE>
<CAPTION>
                                                      CLASS A+
                      ------------------------------------------------------------------------
                                                YEAR ENDED OCT. 31,
                      ------------------------------------------------------------------------
                        1997    1996(c)   1995(c)     1994      1993(c)      1992       1991
                      --------  --------  --------  --------    --------    -------    -------
<S>                   <C>       <C>       <C>       <C>         <C>         <C>        <C>
Per Share Operating
 Performance:
Net asset value,
 beginning of
 period.............  $  11.76  $  10.32  $  10.88  $  13.61    $  11.25    $ 10.91    $ 11.20
                      --------  --------  --------  --------    --------    -------    -------
Income from
 investment
 operations:
  Net investment
   income...........      0.74      0.89      0.97      0.79        0.96       0.86       0.84*
  Net realized and
   unrealized gain
   (loss) on
   investments......      0.34      1.44     (0.69)    (2.14)       2.85       0.31      (0.02)
                      --------  --------  --------  --------    --------    -------    -------
    Net increase
     (decrease) from
     investment
     operations.....      1.08      2.33      0.28     (1.35)       3.81       1.17       0.82
                      --------  --------  --------  --------    --------    -------    -------
Distributions:
  From net
   investment
   income...........     (0.78)    (0.82)    (0.80)    (0.79)      (0.96)     (0.83)     (0.60)
  From net realized
   gain on
   investments......        --        --        --     (0.38)      (0.37)        --      (0.51)
  In excess of net
   investment
   income...........     (0.06)    (0.07)       --        --          --         --         --
  Return of
   capital..........        --        --     (0.04)    (0.21)         --         --         --
  From sources other
   than net
   investment
   income...........        --        --        --        --       (0.12)        --         --
                      --------  --------  --------  --------    --------    -------    -------
    Total
    distributions...     (0.84)    (0.89)    (0.84)    (1.38)      (1.45)     (0.83)     (1.11)
                      --------  --------  --------  --------    --------    -------    -------
Net asset value, end
 of period..........  $  12.00  $  11.76  $  10.32  $  10.88    $  13.61    $ 11.25    $ 10.91
                      --------  --------  --------  --------    --------    -------    -------
                      --------  --------  --------  --------    --------    -------    -------
Total investment
 return (d).........     9.40%    23.00%     3.06%  (10.44)%       37.0%      11.1%       7.7%
Ratios and
 supplemental data:
Net assets, end of
 period (in
 000's).............  $138,715  $185,126  $188,165  $275,241    $287,870    $83,849    $55,967
Ratio of net
 investment income
 to average net
 assets.............     6.18%     8.09%     9.64%     6.74%        7.2%       7.6%       7.2%*
Ratio of expenses to
 average net assets:
  With expense
   reductions.......     1.35%     1.38%     1.42%     1.40%        1.7%       1.8%       1.9%*
  Without expense
   reductions.......     1.44%     1.40%     1.45%       N/A         N/A        N/A        N/A
Ratio of interest
 expenses to average
 net assets.........       N/A       N/A       N/A     0.10%         N/A        N/A        N/A
Portfolio turnover
 rate +++...........      149%      177%      238%      583%        310%       418%       630%
</TABLE>
 
- ------------------------------
 
+   All capital shares issued and outstanding as of October 21, 1992 were
    reclassified as Class A shares.
 
+++ Portfolio turnover is calculated on the basis of the Fund as a whole without
    distinguishing between the classes of shares issued.
 
*   Includes reimbursement by the Sub-adviser of Fund operating expenses of
    $0.01, $0.04, $0.02 and 0.05 for the year ended October 31, 1991, 1990, 1989
    and 1988, respectively. Without such reimbursements, the expense ratios
    would have been 1.92%, 2.20%, 2.02% and 2.42% and the ratio of net
    investment income to average net assets would have been 7.16%, 9.26%, 7.56%
    and 6.42% for the year ended October 31, 1991, 1990, 1989 and 1988,
    respectively.
 
**  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 
(a) Not annualized.
 
(c) These selected per share data were calculated based upon average shares
    outstanding during the period.
 
(d) Total investment return does not include sales charges.
 
(e) Annualized.
 
N/A Not Applicable.
 
                               Prospectus Page 8
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             STRATEGIC INCOME FUND
                                    (CONTINUED)
 
<TABLE>
<CAPTION>
                                              CLASS A+                          ADVISOR CLASS**
                                  --------------------------------   --------------------------------------
                                                        MARCH 29,
                                                           1988
                                                        (COMMENCEMENT
                                   YEAR ENDED OCT.          OF         YEAR ENDED OCT. 31,       JUNE 1,
                                         31,            OPERATIONS)                              1995 TO
                                  ------------------     TO OCT.     -----------------------     OCT. 31,
                                   1990       1989       31, 1988      1997         1996         1995(c)
                                  -------    -------    ----------   --------    -----------   ------------
<S>                               <C>        <C>        <C>          <C>         <C>           <C>
Per Share Operating
 Performance:
Net asset value, beginning of
 period.......................    $ 11.17    $ 11.25     $ 11.43     $  11.77      $   10.33      $10.32
                                  -------    -------    ----------   --------    -----------   ------------
Income from investment
 operations:
  Net investment income.......       1.04*      0.82*       0.45*        0.79           0.93        0.41
  Net realized and unrealized
   gain (loss) on
   investments................      (0.17)     (0.10)     (0.24)         0.34           1.44      (0.04)
                                  -------    -------    ----------   --------    -----------   ------------
    Net increase (decrease)
     from investment
     operations...............       0.87       0.72        0.21         1.13           2.37        0.37
Distributions:
  From net investment
   income.....................      (0.84)     (0.80)     (0.39)        (0.82)        (0.86)      (0.34)
  From net realized gain on
   investments................         --         --          --           --             --          --
  In excess of net investment
   income.....................         --         --          --        (0.06)        (0.07)          --
  Return of capital...........         --         --          --           --             --      (0.02)
  From sources other than net
   investment income..........         --         --          --           --             --          --
                                  -------    -------    ----------   --------    -----------   ------------
    Total distributions.......      (0.84)     (0.80)     (0.39)        (0.88)        (0.93)      (0.36)
                                  -------    -------    ----------   --------    -----------   ------------
Net asset value, end of
 period.......................    $ 11.20    $ 11.17     $ 11.25     $  12.02      $   11.77      $10.33
                                  -------    -------    ----------   --------    -----------   ------------
                                  -------    -------    ----------   --------    -----------   ------------
Total investment return (d)...       8.3%       6.8%       1.20%(a)     9.86%         23.39%       3.72%(a)
Ratios and supplemental data:
  Net assets, end of period
   (in 000's).................    $44,545    $37,820     $21,830     $    533      $     479      $  443
  Ratio of net investment
   income to average net
   assets.....................       9.6%*      7.7%*      7.22%*(e)    6.53%          8.44%       9.99%(e)
Ratio of expenses to average
 net assets:
  With expense reductions.....       1.9%*      1.8%*      1.70%*(e)    1.00%          1.03%       1.07%(e)
  Without expense
   reductions.................        N/A        N/A         N/A        1.09%          1.05%       1.10%(e)
Ratio of interest expenses to
 average net assets...........        N/A        N/A         N/A          N/A            N/A         N/A
Portfolio turnover rate +++...       501%       385%        340%         149%           177%        238%
</TABLE>
 
- ------------------------------
 
+++ Portfolio turnover is calculated on the basis of the Fund as a whole without
    distinguishing between the classes of shares issued.
 
*   Includes reimbursement by the Sub-adviser of Fund operating expenses of
    $0.01, $0.04, $0.02 and 0.05 for the year ended October 31, 1991, 1990, 1989
    and 1988, respectively. Without such reimbursements, the expense ratios
    would have been 1.92%, 2.20%, 2.02% and 2.42% and the ratio of net
    investment income to average net assets would have been 7.16%, 9.26%, 7.56%
    and 6.42% for the year ended October 31, 1991, 1990, 1989 and 1988,
    respectively.
 
**  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 
(a) Not annualized.
 
(c) These selected per share data were calculated based upon average shares
    outstanding during the period.
 
(d) Total investment return does not include sales charges.
 
(e) Annualized.
 
N/A Not Applicable.
 
                       ----------------------------------
 
<TABLE>
<CAPTION>
                                                   AVERAGE MONTHLY     AVERAGE MONTHLY
                                                   AMOUNT OF DEBT         NUMBER OF        AVERAGE AMOUNT
                                 AMOUNT OF DEBT      OUTSTANDING     REGISTRANT'S SHARES     OF DEBT PER
                                 OUTSTANDING AT      DURING THE          OUTSTANDING        SHARE DURING
YEAR ENDED                       END OF PERIOD         PERIOD         DURING THE PERIOD      THE PERIOD
- ------------------------------  ----------------  -----------------  -------------------  -----------------
<S>                             <C>               <C>                <C>                  <C>
October 31, 1997..............         --           $   3,575,910          39,263,038         $  0.0911
</TABLE>
 
                               Prospectus Page 9
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                HIGH INCOME FUND
                     (FORMERLY GT GLOBAL HIGH INCOME FUND)
 
<TABLE>
<CAPTION>
                                                             CLASS A
                                ------------------------------------------------------------------
                                                                                   OCT. 22, 1992
                                                                                   (COMMENCEMENT
                                              YEAR ENDED OCT. 31,                  OF OPERATIONS)
                                ------------------------------------------------         TO
                                  1997      1996      1995      1994    1993(c)    OCT. 31, 1992
                                --------  --------  --------  --------  --------  ----------------
<S>                             <C>       <C>       <C>       <C>       <C>       <C>
Per Share Operating
 Performance:
Net asset value, beginning of
 year.........................  $  14.85  $  11.70  $  12.56  $  14.92  $  11.43       $11.43
                                --------  --------  --------  --------  --------      -------
Income from investment
 operations:
  Net investment income.......      1.19      1.27      1.35      0.94      0.78           --
  Net realized and unrealized
   gain (loss) on
   investments................      0.93      3.09     (1.09)    (1.87)     3.92           --
                                --------  --------  --------  --------  --------      -------
    Net increase (decrease)
     from investment
     operations...............      2.12      4.36      0.26     (0.93)     4.70           --
                                --------  --------  --------  --------  --------      -------
Distributions:
  From net investment
   income.....................     (1.18)    (1.11)    (1.03)    (0.94)    (0.78)          --
  From net realized gain on
   investments................     (0.23)    (0.10)    (0.03)    (0.27)       --           --
  In excess of net realized
   gain on investments........        --        --        --     (0.22)       --           --
  From sources other than net
   investment income..........        --        --        --        --     (0.43)          --
  Return of capital...........        --        --     (0.06)       --        --           --
                                --------  --------  --------  --------  --------      -------
    Total distributions.......     (1.41)    (1.21)    (1.12)    (1.43)    (1.21)          --
                                --------  --------  --------  --------  --------      -------
Net asset value, end of
 year.........................  $  15.56  $  14.85  $  11.70  $  12.56  $  14.92       $11.43
                                --------  --------  --------  --------  --------      -------
                                --------  --------  --------  --------  --------      -------
Total investment return (e)...    14.46%    39.05%     2.81%   (6.45)%     43.6%         0.0%(b)
                                --------  --------  --------  --------  --------      -------
                                --------  --------  --------  --------  --------      -------
 
Ratios and supplemental data:
Net assets, end of period (in
 000's).......................  $133,973  $178,318  $142,002  $167,974  $143,171       $  207
Ratio of net investment income
 (loss) to average net
 assets.......................     7.39%     9.52%    11.85%     7.00%      6.4%          N/A(d)
 
Ratio of operating expenses to
 average net assets:
  With expense reductions.....     1.53%     1.69%     1.75%     1.57%     2.20%       N/A(d)
  Without expense
   reductions.................     1.58%     1.69%     1.75%     1.57%     2.20%       N/A(d)
Ratio of interest expense to
 average net assets...........       N/A     0.04%       N/A     0.22%       N/A          N/A
Portfolio turnover rate (f)...      214%      290%       --%       --%       --%          --%
</TABLE>
 
- ------------------------------
 
(a) Annualized.
 
(b) Not annualized.
 
(c) These selected per share data were calculated based upon average shares
    during the year.
 
(d) Ratios are not meaningful due to short period of operation.
 
(e) Total investment return does not include sales charges.
 
(f)  The Fund invests only in the Portfolio and does not engage in securities
    transactions. Accordingly, the portfolio turnover rates presented are for
    the Portfolio.
 
N/A Not Applicable.
 
                               Prospectus Page 10
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                HIGH INCOME FUND
                                  (CONTINUED)
 
<TABLE>
<CAPTION>
                                           ADVISOR CLASS**
                                -------------------------------------
                                     YEAR ENDED
                                      OCT. 31,          JUNE 1, 1995
                                ---------------------        TO
                                  1997       1996       OCT. 31, 1995
                                --------  -----------   -------------
<S>                             <C>       <C>           <C>
Per Share Operating
 Performance:
Net asset value, beginning of
 year.........................  $  14.83    $   11.71      $11.44
                                --------  -----------   -------------
Income from investment
 operations:
  Net investment income.......      1.22         1.34        0.57
  Net realized and unrealized
   gain (loss) on
   investments................      0.93         3.05        0.17
                                --------  -----------   -------------
    Net increase (decrease)
     from investment
     operations...............      2.15         4.39        0.74
                                --------  -----------   -------------
Distributions:
  From net investment
   income.....................     (1.23)      (1.16)      (0.44)
  From net realized gain on
   investments................     (0.23)      (0.11)          --
  In excess of net realized
   gain on investments........        --           --          --
  From sources other than net
   investment income..........        --           --          --
  Return of capital...........        --           --      (0.03)
                                --------  -----------   -------------
    Total distributions.......     (1.46)      (1.27)      (0.47)
                                --------  -----------   -------------
Net asset value, end of
 year.........................  $  15.52    $   14.83      $11.71
                                --------  -----------   -------------
                                --------  -----------   -------------
Total investment return (e)...    14.72%       39.38%       6.54%(b)
                                --------  -----------   -------------
                                --------  -----------   -------------
 
Ratios and supplemental data:
Net assets, end of period (in
 000's).......................  $  3,719    $  15,298      $1,463
Ratio of net investment income
 (loss) to average net
 assets.......................     7.74%        9.87%      12.20%(a)
Ratio of operating expenses to
 average net assets:
  With expense reductions.....     1.18%        1.34%       1.40%(a)
  Without expense
   reductions.................     1.23%        1.34%       1.40%
Ratio of interest expense to
 average net assets...........       N/A        0.04%         N/A
Portfolio turnover rate (f)...      214%         290%        213%(a)
</TABLE>
 
- ------------------------------
 
(a) Annualized.
 
(b) Not annualized.
 
(c) These selected per share data were calculated based upon average shares
    during the year.
 
(d) Ratios are not meaningful due to short period of operation.
 
(e) Total investment return does not include sales charges.
 
(f)  The Fund invests only in the Portfolio and does not engage in securities
    transactions. Accordingly, the portfolio turnover rates presented are for
    the Portfolio.
 
**  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 
N/A Not Applicable.
 
                       ----------------------------------
 
<TABLE>
<CAPTION>
                                                   AVERAGE MONTHLY     AVERAGE MONTHLY
                                                   AMOUNT OF DEBT         NUMBER OF        AVERAGE AMOUNT
                                 AMOUNT OF DEBT      OUTSTANDING     REGISTRANT'S SHARES     OF DEBT PER
                                 OUTSTANDING AT      DURING THE          OUTSTANDING        SHARE DURING
YEAR ENDED                       END OF PERIOD         PERIOD         DURING THE PERIOD      THE PERIOD
- ------------------------------  ----------------  -----------------  -------------------  -----------------
<S>                             <C>               <C>                <C>                  <C>
October 31, 1997..............         --           $   2,526,057          28,093,475         $  0.0899
October 31, 1996..............         --               2,431,693          30,732,727            0.0791
October 31, 1995..............         --                      --                  --                --
October 31, 1994..............         --              14,109,589          26,707,829            0.5283
</TABLE>
 
                               Prospectus Page 11
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             INVESTMENT OBJECTIVES
                                  AND POLICIES
 
- --------------------------------------------------------------------------------
 
GOVERNMENT INCOME FUND
 
The Government Income Fund seeks a high level of current income by investing
primarily in high quality debt securities of the U.S. and foreign governments,
their agencies and instrumentalities. Its secondary objectives are capital
appreciation and protection of principal through active management of its
maturity structure and currency exposure.
 
At least 65% of the Fund's total assets normally are invested in debt
obligations issued or guaranteed by the U.S. or foreign governments (including
foreign states, provinces or municipalities) or their agencies, authorities or
instrumentalities including mortgage-backed securities issued by agencies or
instrumentalities of the U.S. Government or by foreign governments. For purposes
of this policy, the Fund considers debt obligations of supranational entities
organized or supported by several national governments, such as the World Bank
and the Asian Development Bank, to be "government securities."
 
The Fund invests primarily in high quality government debt securities. "High
quality" debt securities are those rated in the top two ratings categories of
Moody's Investors Service, Inc. ("Moody's") or Standard & Poor's, a division of
The McGraw-Hill Companies, Inc. ("S&P"), or, if not rated, determined to be of
comparable quality by the Sub-adviser. A description of Moody's and S&P ratings
is included in the Appendix to this Prospectus.
 
The Fund currently contemplates that it will invest principally in obligations
of the United States, Canada, Japan, the Western European nations, New Zealand
and Australia, as well as in multinational currency units. Under normal market
conditions, the Fund invests in issues of not less than three different
countries; investments in the securities of any one country, other than the
United States, normally represent no more than 40% of the Fund's total assets.
The Fund will not invest in a foreign currency or in securities denominated in a
foreign currency if such currency is not at the time of investment considered by
the Sub-adviser to be fully exchangeable into U.S. dollars (or a multinational
currency unit) without legal restriction.
 
The Fund may also invest up to 35% of its total assets in: (1) foreign
government securities that are not high quality but are rated at least
"investment grade," i.e., rated within the four highest ratings categories of
Moody's or S&P or, if not rated, determined by the Sub-adviser to be of
comparable quality; (2) corporate debt obligations of U.S. or foreign issuers
rated at least investment grade by Moody's or S&P, including debt obligations
convertible into equity securities or having attached warrants or rights to
purchase equity securities; (3) privately issued mortgage-backed and asset-
backed securities that are rated at least investment grade by Moody's or S&P, or
if unrated, determined by the Sub-adviser to be of comparable quality; and (4)
common stocks, preferred stocks and warrants to acquire such securities,
provided that the Fund will not invest more than 20% of its total assets in such
securities.
 
STRATEGIC INCOME FUND
 
The Strategic Income Fund primarily seeks high current income and secondarily
seeks capital appreciation.
 
The Fund invests in debt securities of issuers in: (1) the United States; (2)
developed foreign countries; and (3) emerging markets. The Fund selects debt
securities from those issued by governments, their agencies and
instrumentalities; central banks; and commercial banks and other corporate
entities. Debt securities in which the Fund may invest include bonds, notes,
debentures, and other similar instruments including mortgage-backed and
asset-backed securities of foreign issuers as well as domestic issuers. The Fund
normally invests at least 50% of its net assets in U.S. and foreign debt and
other fixed income securities that, at the time of purchase, are rated at least
investment grade by Moody's or S&P or, if not rated, determined by the
Sub-adviser to be of comparable quality. No more than 50% of the Fund's total
assets may be invested in securities rated below investment grade. Such
securities involve a high degree of risk and are predominantly speculative. They
are the equivalent of high yield, high risk bonds, commonly known as "junk
bonds." The Fund may also invest in securities that are in default as to payment
of principal and/or interest.
 
The Fund's investments in emerging market securities may consist substantially
of Brady Bonds (see "General Policies -- Brady Bonds," below) and other
sovereign debt securities issued by emerging
 
                               Prospectus Page 12
<PAGE>
                            AIM GLOBAL INCOME FUNDS
market governments that are traded in the markets of developed countries or
groups of developed countries. The Sub-adviser may invest in debt securities of
emerging market issuers that it determines to be suitable investments for the
Fund without regard to ratings. Currently, the substantial majority of emerging
market debt securities are considered to have a credit quality below investment
grade. The Fund also may invest in below-investment grade debt securities of
corporate issuers in the United States and in developed foreign countries,
subject to the overall 50% limitation.
 
HIGH INCOME FUND
 
The High Income Fund primarily seeks high current income, and secondarily seeks
capital appreciation. It seeks its objectives by investing all of its investable
assets in the Portfolio, which in turn seeks the same objectives as the Fund by
normally investing at least 65% of its total assets in debt securities of
issuers in emerging markets.
 
The Portfolio intends to invest in the following types of debt securities:
bonds, notes and debentures of emerging market governments; securities issued or
guaranteed by such governments' agencies or instrumentalities; securities issued
or guaranteed by the central banks of emerging market countries; and securities
issued by other banks and companies in such countries and securities denominated
in or indexed to the currencies of emerging markets. Under current market
conditions, the Portfolio expects its investments in emerging market securities
to consist substantially of Brady Bonds (see "General Policies -- Brady Bonds,"
below) and other sovereign debt securities.
 
The Portfolio may also invest up to 35% of its total assets in (1) equity
securities of issuers in emerging markets included in the list below under the
caption "Emerging Markets"; (2) equity and debt securities of issuers in
developed countries, including the United States; (3) securities of issuers in
emerging markets not included in the emerging markets list, if investing therein
becomes feasible and desirable subsequent to the date of this Prospectus; and
(4) cash and money market instruments. In evaluating investments in securities
of issuers in developed markets, the Sub-adviser will consider, among other
things, the business activities of the issuer in emerging markets and the impact
that developments in emerging markets are likely to have on the issuer's
financial condition.
 
Under normal circumstances, substantially all of the Portfolio's assets will be
invested in debt securities of both governmental and corporate issuers in
emerging markets. Emerging markets debt securities generally are considered to
have a credit quality below investment grade, as defined above. Lower quality
securities involve a high degree of risk and are predominantly speculative.
These debt securities are the equivalent of high yield, high risk bonds,
commonly known as "junk bonds." See "Risk Factors." Many emerging market debt
securities are not rated by U.S. ratings agencies such as Moody's and S&P. The
Portfolio's ability to achieve its investment objectives is thus more dependent
on the Sub-adviser's credit analysis. The Portfolio may invest in securities
that are in default as to payment of principal and/or interest.
 
OTHER INFORMATION REGARDING THE PORTFOLIO. As previously described, investors
should be aware that the High Income Fund, unlike mutual funds that directly
acquire and manage their own portfolios of securities, seeks to achieve its
investment objectives by investing all of its investable assets in the
Portfolio, which is a separate investment company. Because the Fund will invest
only in the Portfolio, the Fund's shareholders will acquire only an indirect
interest in the investments of the Portfolio.
 
The High Income Fund may redeem its investment from the Portfolio at any time,
if the Board of Trustees of the Company determines that it is in the best
interests of the Fund and its shareholders to do so. A change in the Portfolio's
investment objectives, policies or limitations that is not approved by the Board
or the shareholders of the High Income Fund could require the Fund to redeem its
interest in the Portfolio. Any such redemption could result in a distribution in
kind of portfolio securities (as opposed to a cash distribution) by the
Portfolio. In addition, a distribution in kind could result in a less
diversified portfolio of investments for the Fund and could adversely affect its
liquidity. Upon redemption, the Board would consider what action might be taken,
including the investment of all the investable assets of the Fund in another
pooled investment entity having substantially the same investment objectives as
the Fund or the retention by the Fund of its own investment adviser to manage
its assets in accordance with its investment objectives, policies and
limitations discussed herein.
 
In addition to selling an interest therein to the Fund, the Portfolio may sell
its interests therein to other non-affiliated investment companies and/or other
institutional investors. All institutional investors in the Portfolio will pay a
proportionate share of the Portfolio's expenses and will invest in the Portfolio
on the same terms and conditions. However, if another investment company invests
any or all of its assets in the Portfolio, it would not be required to sell its
shares at the same public
 
                               Prospectus Page 13
<PAGE>
                            AIM GLOBAL INCOME FUNDS
offering price as the Fund and may charge different sales commissions.
Therefore, investors in the Fund may experience different returns than investors
in another investment company that invests exclusively in the Portfolio. As of
the date of this Prospectus, the High Income Fund is the only institutional
investor in the Portfolio.
 
Investors in the Fund should be aware that the Funds' investment in the
Portfolio may be materially affected by the actions of other large investors, if
any, in the Portfolio, if any. For example, as with all open-end investment
companies, if a large investor were to redeem its interest in the Portfolio, (1)
the Portfolio's remaining investors could experience higher pro rata operating
expenses, thereby producing lower returns and (2) the Portfolio's security
holdings may become less diverse, resulting in increased risk. Institutional
investors in the Portfolio that have a greater pro rata ownership interest in
the Portfolio than the Fund could have effective voting control over the
operation of the Portfolio.
 
                                GENERAL POLICIES
 
ASSET ALLOCATION. The Government Income Fund, the Strategic Income Fund and the
Portfolio each invests in debt obligations allocated among diverse markets and
denominated in various currencies, including U.S. dollars, or in multinational
currency units such as European Currency Units. The Funds are designed for
investors who wish to accept the risks entailed in such investments, which are
different from those associated with a portfolio consisting entirely of
securities of U.S. issuers denominated in U.S. dollars. The Government Income
Fund, the Strategic Income Fund and the Portfolio may purchase securities that
are issued by the government or a company or financial institution of one
country but denominated in the currency of another country (or a multinational
currency unit).
 
The Sub-adviser allocates the assets of the Government Income Fund, the
Strategic Income Fund and the Portfolio in securities of issuers in countries
and in currency denominations where the combination of fixed income market
returns, the price appreciation potential of fixed income securities and
currency exchange rate movements will present opportunities primarily for high
current income and secondarily for capital appreciation (and, in the case of the
Government Income Fund, secondarily for capital appreciation and protection of
principal). In so doing, the Sub-adviser intends to take full advantage of the
different yield, risk and return characteristics that investment in the fixed
income markets of different countries can provide for U.S. investors.
Fundamental economic strength, credit quality and currency and interest rate
trends are the principal determinants of the emphasis given to various country,
geographic and industry sectors within the Government Income Fund, the Strategic
Income Fund and the Portfolio. Securities held by the Government Income Fund,
the Strategic Income Fund and the Portfolio may be invested in without
limitation as to maturity.
 
The Sub-adviser selects securities of particular issuers on the basis of its
views as to the best values then currently available in the marketplace. Such
values are a function of yield, maturity, issue classification and quality
characteristics, coupled with expectations regarding the local and world
economies, movements in the general level and term of interest rates, currency
values, political developments and variations in the supply of funds available
for investment in the world bond market relative to the demands placed upon it.
 
The Sub-adviser generally evaluates currencies on the basis of fundamental
economic criteria (e.g., relative inflation, interest rate levels and trends,
growth rate forecasts, balance of payments status and economic policies) as well
as technical and political data. The Sub-adviser may seek to protect a Fund
against such negative currency movements through the use of sophisticated
investment techniques. See "Options, Futures and Forward Currency Transactions"
and "Swaps, Caps, Floors and Collars."
 
According to the Sub-adviser, as of the date of this Prospectus, more than 50%
of the value of all outstanding government debt obligations throughout the world
is represented by obligations denominated in currencies other than the U.S.
dollar. Moreover, from time to time, the debt securities of issuers located
outside the United States have substantially outperformed the debt obligations
of U.S. issuers. Accordingly, the Sub-adviser believes that the Government
Income Fund's and the Strategic Income Fund's policy of investing in debt
securities throughout the world and the Portfolio's policy of investing in debt
securities of issuers in emerging markets may enable the achievement of results
superior to those produced by mutual funds with similar objectives to those of
the Funds and the Portfolio that invest solely in debt securities of U.S.
issuers.
 
TEMPORARY DEFENSIVE STRATEGIES. The Sub-adviser may employ a temporary defensive
investment strategy if it determines such a strategy to be warranted due to
market, economic or political conditions. Pursuant to such a defensive strategy,
the Government Income Fund, the Strategic Income Fund and the Portfolio
temporarily may hold
 
                               Prospectus Page 14
<PAGE>
                            AIM GLOBAL INCOME FUNDS
cash (U.S. dollars, foreign currencies or multinational currency units) and/or
invest up to 100% of their respective assets in high quality debt securities or
money market instruments of U.S. or foreign issuers. In addition, for temporary
defensive purposes, most or all of the Government Income Fund's, the Strategic
Income Fund's or the Portfolio's investments may be made in the United States
and denominated in U.S. dollars. To the extent the Funds or the Portfolio employ
a temporary defensive strategy, they will not be invested so as to achieve
directly their investment objectives. In addition, pending investment of
proceeds from new sales of Fund shares or to meet ordinary daily cash needs, the
Government Income Fund, the Strategic Income Fund and the Portfolio may hold
cash (U.S. dollars, foreign currencies or multinational currency units) and may
invest in high quality foreign or domestic money market instruments. For a
description of money market instruments in which the Funds or the Portfolio may
invest, see "Selection of Debt Investments" in the Investment Objectives and
Policies section of the Statement of Additional Information.
 
EMERGING MARKET SECURITIES. The Strategic Income Fund and the Portfolio consider
"emerging markets" to consist of all countries determined by the Sub-adviser to
have developing or emerging economies and markets. These countries generally
include every country in the world except the United States, Canada, Japan,
Australia, New Zealand and most countries located in Western Europe. The
Strategic Income Fund and the Portfolio will consider investment in the
following emerging markets:
 
<TABLE>
<S>               <C>            <C>
  Algeria         Hong Kong      Peru
  Argentina       Hungary        Philippines
  Bolivia         India          Poland
  Botswana        Indonesia      Portugal
  Brazil          Israel         Republic of
  Bulgaria        Ivory Coast     Slovakia
  Chile           Jamaica        Russia
  China           Jordan         Singapore
  Colombia        Kazakhstan     Slovenia
  Costa Rica      Kenya          South Africa
  Cyprus          Lebanon        South Korea
  Czech           Malaysia       Sri Lanka
   Republic       Mauritius      Swaziland
  Dominican       Mexico         Taiwan
   Republic       Morocco        Thailand
  Ecuador         Nicaragua      Turkey
  Egypt           Nigeria        Ukraine
  El Salvador     Oman           Uruguay
  Finland         Pakistan       Venezuela
  Ghana           Panama         Zambia
  Greece          Paraguay       Zimbabwe
</TABLE>
 
The Strategic Income Fund and the Portfolio will not be invested in all such
markets at all times. Moreover, investing in some of those markets currently may
not be desirable or feasible, due to the lack of adequate custody arrangements,
overly burdensome repatriation requirements and similar restrictions, the lack
of organized and liquid securities markets, unacceptable political risks or for
other reasons.
 
As used in this Prospectus and the Statement of Additional Information, an
issuer in an emerging market is an entity: (i) for which the principal
securities trading market is an emerging market, as defined above; (ii) that
(alone or on a consolidated basis) derives 50% or more of its total revenue from
either goods produced, sales made or services performed in emerging markets; or
(iii) organized under the laws of, or with a principal office in, an emerging
market.
 
BRADY BONDS. The Government Income Fund, the Strategic Income Fund and the
Portfolio may invest in "Brady Bonds," which are debt restructurings that
provide for the exchange of cash and loans for newly issued bonds. Brady Bonds
have been issued by the countries of Albania, Argentina, Brazil, Bulgaria, Costa
Rica, Dominican Republic, Ecuador, Ivory Coast, Jordan, Mexico, Nigeria, Panama,
Peru, Philippines, Poland, Uruguay, Venezuela and Vietnam and are expected to be
issued by other emerging market countries. As of the date of this Prospectus,
the Government Income Fund, the Strategic Income Fund and the Portfolio are not
aware of the occurrence of any payment defaults on Brady Bonds. Investors should
recognize, however, that Brady Bonds do not have a long payment history. In
addition, Brady Bonds are often rated below investment grade.
 
The Government Income Fund, Strategic Income Fund and the Portfolio may invest
in either collateralized or uncollateralized Brady Bonds. U.S.
dollar-denominated, collateralized Brady Bonds, which may be fixed rate par
bonds or floating rate discount bonds, are collateralized in full as to
principal by U.S. Treasury zero coupon bonds having the same maturity as the
bonds. Interest payments on such bonds generally are collateralized by cash or
securities in an amount that, in the case of fixed rate bonds, is equal to at
least one year of rolling interest payments or, in the case of floating rate
bonds, initially is equal to at least one year's rolling interest payments based
on the applicable interest rate at the time of issuance and is adjusted at
regular intervals thereafter.
 
MORTGAGE-BACKED AND ASSET-BACKED SECURITIES. The Government Income Fund and the
Strategic Income Fund may invest in mortgage-backed and
 
                               Prospectus Page 15
<PAGE>
                            AIM GLOBAL INCOME FUNDS
asset-backed securities of U.S. and foreign issuers, including privately issued
mortgage-backed and asset-backed securities. Mortgage-backed securities
represent direct or indirect interests in pools of underlying mortgage loans
that are secured by real property. Investors typically receive payments out of
the interest on and principal of the underlying mortgages. Asset-backed
securities are similar to mortgage-backed securities, except that the underlying
assets are other financial assets or financial receivables, such as motor
vehicle installment sales contracts, home equity loans, leases of various types
of real and personal property, and receivables from credit cards. Any
mortgage-backed and asset-backed securities purchased by the Government Income
Fund and the Strategic Income Fund will be subject to the same rating
requirements that apply to its other investments. In addition, privately issued
mortgage-backed and asset-backed securities purchased by Government Income Fund
will be subject to the limitation of that Fund which allows no more than 35% of
its total assets to be invested in securities of non-governmental issuers.
 
LOAN PARTICIPATIONS AND ASSIGNMENTS. The Strategic Income Fund and the Portfolio
may invest in fixed and floating rate loans ("Loans") arranged through private
negotiations between a foreign entity and one or more financial institutions
("Lenders"). The majority of the Fund's and the Portfolio's investments in Loans
in emerging markets is expected to be in the form of participations in Loans
("Participations") and assignments of portions of Loans from third parties
("Assignments"). Participations typically will result in the Fund and/or the
Portfolio having a contractual relationship only with the Lender, not with the
borrower government. The Fund and/or the Portfolio will have the right to
receive payments of principal, interest and any fees to which it is entitled
only from the Lender selling the Participation and only upon receipt by the
Lender of the payments from the borrower. In connection with purchasing
Participations, the Fund and/or the Portfolio generally will have no right to
enforce compliance by the borrower with the terms of the loan agreement relating
to the loan ("Loan Agreement"), nor any rights of set-off against the borrower,
and the Fund and/or the Portfolio may not directly benefit from any collateral
supporting the Loan in which it has purchased the Participation. As a result,
the Fund and/or the Portfolio will assume the credit risk of both the borrower
and the Lender that is selling the Participation.
 
In the event of the insolvency of the Lender selling a Participation, the Fund
and/or the Portfolio may be treated as a general creditor of the Lender and may
not benefit from any set-off between the Lender and the borrower. The Fund
and/or the Portfolio will acquire Participations only if the Lender
interpositioned between the Fund and/or the Portfolio and the borrower is
determined by the Sub-adviser to be creditworthy. When the Fund and/ or the
Portfolio purchases Assignments from Lenders, the Fund and/or the Portfolio will
acquire direct rights against the borrower on the Loan. However, since
Assignments are arranged through private negotiations between potential
assignees and assignors, the rights and obligations acquired by the Fund and/or
the Portfolio as the purchaser of an Assignment may differ from, and be more
limited than, those held by the assigning Lender.
 
WHEN-ISSUED AND FORWARD COMMITMENT SECURITIES. The Government Income Fund, the
Strategic Income Fund and the Portfolio may purchase debt securities on a
"when-issued" basis and may purchase or sell such securities on a "forward
commitment" basis in order to hedge against anticipated changes in interest
rates and prices. The price, which is generally expressed in yield terms, is
fixed at the time the commitment is made, but delivery and payment for the
securities take place at a later date. When-issued securities and forward
commitments may be sold prior to the settlement date, but the Funds and the
Portfolio will purchase or sell when-issued securities and forward commitments
only with the intention of actually receiving or delivering the securities, as
the case may be. No income accrues on securities that have been purchased
pursuant to a forward commitment or on a when-issued basis prior to delivery of
the securities. If a Fund or the Portfolio disposes of the right to acquire a
when-issued security prior to its acquisition or disposes of its right to
deliver or receive against a forward commitment, it may incur a gain or loss. At
the time a Fund or the Portfolio enters into a transaction on a when-issued or
forward commitment basis, a Fund or the Portfolio will segregate cash or liquid
securities equal to the value of the when-issued or forward commitment
securities with its custodian and will mark to market daily such assets. There
is a risk that the securities may not be delivered and that a Fund or the
Portfolio may incur a loss. The Government Income Fund may invest up to 5% of
its total assets in a combination of securities purchased on a when-issued basis
or with respect to which it has entered into forward commitment agreements.
 
                               Prospectus Page 16
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The Strategic Income Fund and the Portfolio may also sell securities on a "when,
as and if issued" basis for hedging purposes. Under such a transaction, the Fund
or the Portfolio is required to deliver at a future date a security it does not
presently hold, but which it has a right to receive if the security is issued.
Issuance of the security may not occur, in which case the Fund or Portfolio
would have no obligation to the other party, and would not receive payment for
the sale. Selling securities on a "when, as and if issued" basis may reduce risk
of loss to the extent that such a sale wholly or partially offsets unfavorable
price movements on the investments being hedged. However, such sales also limit
the amount the Fund or Portfolio can receive if the "when, as and if issued"
security is in fact issued.
 
BORROWING, REVERSE REPURCHASE AGREEMENTS AND ROLL TRANSACTIONS. The Government
Income Fund may borrow from banks or may borrow through reverse repurchase
agreements and "roll" transactions in connection with meeting requests for the
redemption of Fund shares. The Government Income Fund also may borrow up to 5%
of its total assets for temporary or emergency purposes other than to meet
redemptions. However, the Government Income Fund will not borrow for investment
purposes, nor will the Fund purchase securities while borrowings are
outstanding.
 
Both the Strategic Income Fund and the Portfolio are authorized to borrow money
from banks in an amount up to 33 1/3% of its total assets (including the amount
borrowed), less all liabilities and indebtedness other than the borrowings and
may use the proceeds of such borrowings for investment purposes. The Strategic
Income Fund and the Portfolio will borrow for investment purposes only when the
Sub-adviser believes that such borrowings will benefit the Fund or the
Portfolio, respectively, after taking into account considerations such as the
costs of the borrowing and the likely investment returns on the securities
purchased with the borrowed monies.
 
Borrowing for investment purposes is known as leveraging, which is a speculative
practice. Such borrowing by the Strategic Income Fund and the Portfolio creates
the opportunity for increased net income and appreciation but, at the same time,
involves special risk considerations. For example, leveraging might exaggerate
changes in the net asset value of Fund shares and in the yield realized by the
Fund or the Portfolio. Although the principal amount of such borrowings will be
fixed, the Fund's and the Portfolio's assets may change in value during the time
the borrowing is outstanding. By leveraging the Fund or the Portfolio, changes
in net asset values, higher or lower, may be greater in degree than if leverage
was not employed. To the extent the income derived from the assets obtained with
borrowed funds exceeds the interest and other expenses that the Fund or the
Portfolio will have to pay, the Fund's or the Portfolio's net income will be
greater than if borrowing was not used. Conversely, if the income from the
assets obtained with borrowed funds is not sufficient to cover the cost of
borrowing, the net income of the Fund or the Portfolio will be less than if
borrowing were not used, and therefore the amount available for distribution to
shareholders as dividends will be reduced. The Strategic Income Fund and the
Portfolio each expects that some of its borrowings may be made on a secured
basis.
 
In addition to the foregoing borrowings, the Strategic Income Fund and the
Portfolio each may borrow money for temporary or emergency purposes or payments
in an amount not exceeding 5% of the value of its total assets (not including
the amount borrowed) provided that the total amount borrowed by the Strategic
Income Fund or the Portfolio for any purpose does not exceed 33 1/3% of its
total assets.
 
The Funds and the Portfolio may also enter into reverse repurchase agreements
with a bank or recognized securities dealer, although the Strategic Income Fund
currently has no intention of doing so with respect to more than 5% of its total
assets. Under a reverse repurchase agreement, the Funds or the Portfolio would
sell securities and agree to repurchase them at a particular price at a future
date. At the time a Fund or the Portfolio enters into a reverse repurchase
agreement, it will establish and maintain a segregated account with an approved
custodian containing cash or liquid securities having a value not less than the
repurchase price, including accrued interest. Reverse repurchase agreements
involve the risk that the market value of the securities retained in lieu of
sale by a Fund or the Portfolio may decline below the price of the securities a
Fund or the Portfolio has sold but is obligated to repurchase. In the event the
buyer of securities under a reverse repurchase agreement files for bankruptcy or
becomes insolvent, such buyer or its trustee or receiver may receive an
extension of time to determine whether to enforce a Fund's or the Portfolio's
obligation to repurchase the securities, and a Fund's or the Portfolio's use of
the proceeds of the reverse repurchase agreement
 
                               Prospectus Page 17
<PAGE>
                            AIM GLOBAL INCOME FUNDS
may effectively be restricted pending such decision.
 
The Funds and the Portfolio also may enter into "dollar rolls," in which a Fund
or the Portfolio sells fixed income securities for delivery in the current month
and simultaneously contracts to repurchase substantially similar (same type,
coupon and maturity) securities on a specified future date. During the roll
period, a Fund or the Portfolio would forego principal and interest paid on such
securities. A Fund or the Portfolio would be compensated by the difference
between the current sales price and the forward price for the future purchase,
as well as by the interest earned on the cash proceeds of the initial sale. See
"Investment Objectives and Policies" in the Statement of Additional Information.
 
Reverse repurchase agreements and dollar rolls will be treated as borrowings and
will be deducted from a Fund's or the Portfolio's assets for purposes of
calculating compliance with the Fund's or the Portfolio's borrowing limitation.
See "Investment Limitations" in the Statement of Additional Information.
 
SECURITIES LENDING. The Government Income Fund, the Strategic Income Fund and
the Portfolio may lend their respective portfolio securities to broker/dealers
or to other institutional investors. Securities lending allows a Fund to retain
ownership of the securities loaned and, at the same time, enhances a Fund's
total return. At all times a loan is outstanding, each Fund and the Portfolio
requires the borrower to maintain with the Fund's or the Portfolio's custodian,
collateral consisting of cash, U.S. government securities, or certain
irrevocable letters of credit equal to at least the value of the borrowed
securities, plus any accrued interest or such other collateral as permitted by a
Fund's investment program and regulatory agencies, and as approved by the Board.
Each Fund and the Portfolio limits its loans of portfolio securities to an
aggregate of 30% of the value of its total assets, measured at the time any such
loan is made. The risks in lending portfolio securities, as with other
extensions of secured credit, consist of possible delays in receiving additional
collateral or in recovery of the loaned securities and possible loss of rights
in the collateral should the borrower fail financially.
 
ZERO COUPON SECURITIES. The Government Income Fund, the Strategic Income Fund
and the Portfolio may invest in certain zero coupon securities that are
"stripped" U.S. Treasury notes and bonds. They also may invest in zero coupon
and other deep discount securities issued by foreign governments and domestic
and foreign corporations, including certain Brady Bonds and other foreign debt
and in payment-in-kind securities. Zero coupon securities pay no interest to
holders prior to maturity, and payment-in-kind securities pay interest in the
form of additional securities. However, a portion of the original issue discount
on zero coupon securities and the "interest" on payment-in-kind securities will
be included in the investing Fund's or Portfolio's income. Accordingly, for a
Fund to continue to qualify for tax treatment as a regulated investment company
and to avoid a certain excise tax (see "Taxes" in the Statement of Additional
Information), it may be required to distribute an amount that is greater than
the total amount of cash it actually receives (or, in the case of the High
Income Fund, its share of the total amount of cash the Portfolio actually
receives). These distributions must be made from the Fund's (or, in the case of
the High Income Fund, its, or its share of, the Portfolio's) cash assets or, if
necessary, from the proceeds of sales of portfolio securities. The Fund or the
Portfolio will not be able to purchase additional income-producing securities
with cash used to make such distributions, and its current income ultimately may
be reduced as a result. Zero coupon and payment-in-kind securities usually trade
at a deep discount from their face or par value and will be subject to greater
fluctuations of market value in response to changing interest rates than debt
obligations of comparable maturities that make current distributions of interest
in cash.
 
SYNTHETIC SECURITY POSITIONS. The Government Income Fund, the Strategic Income
Fund and the Portfolio may utilize combinations of futures on bonds and forward
currency contracts to create investment positions that have substantially the
same characteristics as bonds of the same type as those on which the futures
contracts are written. Investment positions of this type are generally referred
to as "synthetic securities."
 
For example, in order to establish a synthetic security position for a Fund or
the Portfolio that is comparable to owning a Japanese government bond, the
Sub-adviser might purchase futures contracts on Japanese government bonds in the
desired principal amount and purchase forward currency contracts for Japanese
Yen in an amount equal to the then current purchase price for such bonds in the
Japanese cash market, with each contract having approximately the same delivery
date.
 
                               Prospectus Page 18
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The Sub-adviser might roll over the futures and forward currency contract
positions before taking delivery in order to continue the Fund's or the
Portfolio's investment position, or the Sub-adviser might close out those
positions, thus effectively selling the synthetic security. Further, the amount
of each contract might be adjusted in response to market conditions and the
forward currency contract might be changed in amount or eliminated in order to
hedge against currency fluctuations.
 
The Sub-adviser would create synthetic security positions for a Fund or the
Portfolio when it believes that it can obtain a better yield or achieve cost
savings in comparison to purchasing actual bonds or when comparable bonds are
not readily available in the market. Synthetic security positions are subject to
the risk that changes in the value of purchased futures contracts may differ
from changes in the value of the bonds that might otherwise have been purchased
in the cash market. Also, while the Sub-adviser believes that the cost of
creating synthetic security positions generally will be materially lower than
the cost of acquiring comparable bonds in the cash market, a Fund or the
Portfolio will incur transaction costs in connection with each purchase of a
futures or forward currency contract. The use of futures contracts and forward
currency contracts to create synthetic security positions also is subject to
substantially the same risks as those that exist when these instruments are used
in connection with hedging strategies. See "Options, Futures and Forward
Currency Transactions" below and "Options, Futures and Currency Strategies" in
the Statement of Additional Information.
 
OPTIONS, FUTURES AND FORWARD CURRENCY TRANSACTIONS. The Government Income Fund,
the Strategic Income Fund and the Portfolio may use forward currency contracts,
futures contracts, options on securities, options on indices, options on
currencies, and options on futures contracts to attempt to hedge against the
overall level of investment and currency risk normally associated with the
Funds' or Portfolio investment. The Strategic Income Fund and the Portfolio also
may enter into interest rate, currency and index swaps and purchase or sell
related caps, floors and collars and other similar instruments. See "Swaps,
Caps, Floors and Collars" below. These instruments are often referred to as
"derivatives," which may be defined as financial instruments whose performance
is derived, at least in part, from the performance of another asset (such as a
security, currency or an index of securities). The Government Income Fund, the
Strategic Income Fund and the Portfolio may enter into such instruments up to
the full value of their portfolio assets. See "Risk Factors -- Options, Futures
and Forward Currency Transactions" herein and "Options, Futures and Currency
Strategies" in the Statement of Additional Information.
 
To attempt to hedge against adverse movements in exchange rates between
currencies, the Government Income Fund, the Strategic Income Fund and the
Portfolio may enter into forward currency contracts for the purchase or sale of
a specified currency at a specified future date. Such contracts may involve the
purchase or sale of a foreign currency against the U.S. dollar or may involve
two foreign currencies. The Government Income Fund, the Strategic Income Fund
and the Portfolio may enter into forward currency contracts either with respect
to specific transactions or with respect to the respective Fund's or the
Portfolio's portfolio positions. Each Fund and the Portfolio also may purchase
and sell put and call options on currencies, futures contracts on currencies and
options on such futures contracts to hedge against movements in exchange rates.
 
In addition, each Fund and the Portfolio may purchase and sell put and call
options on securities to hedge against the risk of fluctuations in the prices of
securities held by the Fund or the Portfolio or that the Sub-adviser intends to
include in the Fund's or the Portfolio's portfolio. The Funds and the Portfolio
also may purchase and sell put and call options on indices to hedge against
overall fluctuations in the securities markets generally or in a specific market
sector.
 
Further, the Funds and the Portfolio may sell index futures contracts and may
purchase put options or write call options on such futures contracts to protect
against a general market or market sector decline that could adversely affect
the Fund's or the Portfolio's portfolio. The Funds and the Portfolio also may
purchase index futures contracts and purchase call options or write put options
on such contracts to hedge against a general market or market sector advance and
thereby attempt to lessen the cost of future securities acquisitions. A Fund or
the Portfolio may use interest rate futures contracts and options thereon to
hedge its portfolio against changes in the general level of interest rates.
 
SWAPS, CAPS, FLOORS AND COLLARS. The Strategic Income Fund and the Portfolio may
enter into interest rate, currency and index swaps, and purchase or sell related
caps, floors and collars and other derivative instruments. The Fund and the
 
                               Prospectus Page 19
<PAGE>
                            AIM GLOBAL INCOME FUNDS
Portfolio expect to enter into these transactions primarily to preserve a return
or spread on a particular investment or portion of its portfolio, to protect
against currency fluctuations, as a technique for managing the portfolio's
duration (I.E., the price sensitivity to changes in interest rates) or to
protect against any increase in the price of securities the Fund or the
Portfolio anticipates purchasing at a later date. The Fund and the Portfolio
intend to use these transactions as hedges, and neither will sell interest rate
caps or floors if it does not own securities or other instruments providing an
income stream roughly equivalent to what the Fund or the Portfolio may be
obligated to pay.
 
Interest rate swaps involve the exchange by the Fund or the Portfolio with
another party of their respective commitments to pay or receive interest (for
example, an exchange of floating rate payments for fixed rate payments) with
respect to a notional amount of principal. A currency swap is an agreement to
exchange cash flows on a notional amount based on changes in the values of the
reference indices.
 
The purchase of a cap entitles the purchaser to receive payments on a notional
principal amount from the party selling the cap to the extent that a specified
index exceeds a predetermined interest rate. The purchase of an interest rate
floor entitles the purchaser to receive payments on a notional principal amount
from the party selling the floor to the extent that a specified index falls
below a predetermined interest rate or amount. A collar is a combination of a
cap and a floor that preserves a certain return within a predetermined range of
interest rates or values.
 
INDEXED COMMERCIAL PAPER. The Strategic Income Fund and the Portfolio may invest
without limitation in commercial paper which is indexed to certain specific
foreign currency exchange rates. The terms of such commercial paper provide that
its principal amount is adjusted upwards or downwards (but not below zero) at
maturity to reflect changes in the exchange rate between two currencies while
the obligation is outstanding. The Strategic Income Fund and the Portfolio will
purchase such commercial paper with the currency in which it is denominated and,
at maturity, will receive interest and principal payments thereon in that
currency, but the amount of principal payable by the issuer at maturity will
change in proportion to the change (if any) in the exchange rate between the two
specified currencies between the date the instrument is issued and the date the
instrument matures. While such commercial paper entails the risk of loss of
principal, the potential for realizing gains as a result of changes in foreign
currency exchange rates enables the Fund and the Portfolio to hedge against a
decline in the U.S. dollar value of investments denominated in foreign
currencies while seeking to provide an attractive money market rate of return.
The Fund and the Portfolio will not purchase such commercial paper for
speculation.
 
OTHER INDEXED SECURITIES. The Government Income Fund, Strategic Income Fund and
the Portfolio may invest in certain other indexed securities, which are
securities whose prices are indexed to the prices of other securities,
securities indices, currencies, precious metals or other commodities, or other
financial indicators. Indexed securities typically, but not always, are debt
securities or deposits whose value at maturity or coupon rate is determined by
reference to a specific instrument or statistic. The performance of indexed
securities depends to a great extent on the performance of the security,
currency, or other instrument to which they are indexed, and may also be
influenced by interest rate changes in the United States and abroad. At the same
time, indexed securities are subject to the credit risks associated with the
issuer of the security, and their values may decline substantially if the
issuer's creditworthiness deteriorates. Indexed securities may be more volatile
than the underlying instruments. New forms of indexed securities continue to be
developed. Each Fund and Portfolio may invest in such securities to the extent
consistent with its investment objectives.
 
OTHER INFORMATION. Each Fund's investment objectives may not be changed without
the approval of a majority of the respective Fund's outstanding voting
securities. A "majority of the Fund's outstanding voting securities" means the
lesser of (i) 67% of the shares represented at a meeting at which more than 50%
of the outstanding shares are represented, or (ii) more than 50% of the
outstanding shares. In addition, each Fund has adopted certain investment
limitations which also may not be changed without shareholder approval. A
complete description of these limitations is included in the Statement of
Additional Information. Each Fund's other investment policies described herein
and in the Statement of Additional Information may be changed by the Company's
Board of Directors without shareholder approval.
 
                               Prospectus Page 20
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The approval of the High Income Fund and of other investors in the Portfolio, if
any, is not required to change the investment objectives, policies or
limitations of the Portfolio, unless otherwise specified. Written notice shall
be provided to shareholders of the High Income Fund thirty days prior to any
changes in the Portfolio's investment objectives.
 
The Funds and the Portfolio are authorized to make short sales of securities,
although they have no current intention of doing so. See "Investment Objectives
and Policies -- Short Sales" in the Statement of Additional Information.
 
If a percentage restriction on investment or utilization of assets in an
investment policy or restriction is adhered to at the time an investment is
made, a later change in percentage ownership of a security or kind of securities
resulting from changing market values or a similar type of event will not be
considered a violation of a Fund's or the Portfolio's investment policies or
restrictions.
 
- --------------------------------------------------------------------------------
 
                                  RISK FACTORS
 
- --------------------------------------------------------------------------------
 
GENERAL. There is no assurance that any Fund or the Portfolio will achieve its
investment objectives. The Fund's net asset value will fluctuate, reflecting
fluctuations in the market value of its portfolio positions and its net currency
exposure. The value of fixed income securities held by the Government Income
Fund, the Strategic Income Fund and the Portfolio generally fluctuates inversely
with interest rate movements. Longer term bonds held by the Government Income
Fund, the Strategic Income Fund or the Portfolio are subject to greater interest
rate risk.
 
NON-DIVERSIFIED CLASSIFICATION. Each Fund and the Portfolio is classified under
the Investment Company Act of 1940 (the "1940 Act") as a "non-diversified" fund.
As a result, the Government Income Fund, the Strategic Income Fund and the
Portfolio each will be able to invest in a fewer number of issuers than if it
were classified under the 1940 Act as a "diversified" fund. To the extent that a
Fund or the Portfolio invests in a smaller number of issuers, the value of each
Fund's shares may fluctuate more widely and the Funds and the Portfolio may be
subject to greater investment and credit risk with respect to their portfolios.
 
FOREIGN INVESTING. Investing in foreign securities entails certain risks. The
securities of non-U.S. issuers generally are not registered with the SEC, nor
are the issuers thereof usually subject to the SEC's reporting requirements.
Accordingly, there may be less publicly available information about foreign
securities and issuers than is available with respect to U.S. securities and
issuers. Foreign companies generally are not subject to uniform accounting,
auditing and financial reporting standards, practices and requirements
comparable to those applicable to U.S. companies. In addition, certain costs
attributable to foreign investing, such as custody charges, are higher than
those attributable to domestic investing. Securities of some foreign companies
are less liquid and their prices may be more volatile than securities of
comparable domestic companies. The Government Income and Strategic Income Funds'
and the Portfolio's interest and dividends from foreign issuers may be subject
to non-U.S. withholding taxes, thereby reducing their net investment income.
 
With respect to some foreign countries, there is the increased possibility of
expropriation or confiscatory taxation, limitations on the removal of funds or
other assets of the Government Income Fund, the Strategic Income Fund and the
Portfolio, political or social instability, or diplomatic developments which
could affect the investments of the Government Income Fund, the Strategic Income
Fund and the Portfolio in those countries. Moreover, individual foreign
economies may differ favorably or unfavorably from the U.S. economy in such
respects as growth of gross national product, rate of inflation, rate of savings
and capital reinvestment, resource self-sufficiency and balance of payments
positions.
 
CURRENCY RISK. Since the Government Income Fund, the Strategic Income Fund and
the Portfolio normally invest substantially in securities denominated in
currencies other than the U.S. dollar, and because they may hold foreign
currencies, they will be affected favorably or unfavorably by exchange control
regulations or changes in the exchange rates between such currencies and the
U.S. dollar. Changes in currency exchange rates will influence the value of the
Funds' shares, and also
 
                               Prospectus Page 21
<PAGE>
                            AIM GLOBAL INCOME FUNDS
may affect the value of dividends and interest earned by the Funds and gains and
losses realized by the Funds. Currencies generally are evaluated on the basis of
fundamental economic criteria (e.g., relative inflation and interest rate levels
and trends, growth rate forecasts, balance of payments status and economic
policies) as well as technical and political data. The exchange rates between
the U.S. dollar and other currencies are determined by supply and demand in the
currency exchange markets, the international balance of payments, governmental
intervention, speculation and other economic and political conditions. If the
currency in which a security is denominated appreciates against the U.S. dollar,
the dollar value of the security will increase. Conversely, a decline in the
exchange rate of the currency would adversely affect the value of the security
expressed in U.S. dollars.
 
In addition, many of the currencies in emerging market countries have
experienced steady devaluations relative to the U.S. dollar and major
devaluations have historically occurred in certain countries.
 
INVESTING IN EMERGING MARKETS. Because of the special risks associated with
investing in emerging markets, an investment in the Strategic Income Fund and
the Portfolio should be considered speculative. Investors are strongly advised
to consider carefully the special risks involved in emerging markets, which are
in addition to the usual risks of investing in developed foreign markets around
the world.
 
Investing in emerging markets involves risks relating to potential political and
economic instability within such markets and the risks of expropriation,
nationalization, confiscation of assets and property or the imposition of
restrictions on foreign investment and on repatriation of capital invested. In
the event of such expropriation, nationalization or other confiscation in any
emerging market, the Strategic Income Fund or the Portfolio could lose its
entire investment in that market.
 
Many emerging market countries have experienced substantial, and in some periods
extremely high, rates of inflation for many years. Inflation and rapid
fluctuations in inflation rates have had and may continue to have negative
effects on the economies and securities markets of certain emerging market
countries.
 
Economies in emerging markets generally are dependent heavily upon international
trade and, accordingly, have been and may continue to be affected adversely by
trade barriers, exchange controls, managed adjustments in relative currency
values and other protectionist measures imposed or negotiated by the countries
with which they trade. These economies also have been and may continue to be
affected adversely by economic conditions in the countries in which they trade.
 
The securities markets of emerging countries are substantially smaller, less
developed, less liquid and more volatile than the securities markets of the
United States and other more developed countries. Disclosure and regulatory
standards in many respects are less stringent than in the United States and
other major markets. There also may be a lower level of monitoring and
regulation of emerging securities markets and the activities of investors in
such markets, and enforcement of existing regulations has been extremely
limited.
 
In addition, brokerage commissions, custodial services and other costs relating
to investment in foreign markets generally are more expensive than in the United
States, particularly with respect to emerging markets. Such markets have
different settlement and clearance procedures. In certain markets there have
been times when settlements have been unable to keep pace with the volume of
securities transactions, making it difficult to conduct such transactions. The
inability of the Strategic Income Fund or the Portfolio to make intended
securities purchases due to settlement problems could cause the Strategic Income
Fund or the Portfolio to forego attractive investment opportunities. Inability
to dispose of a portfolio security caused by settlement problems could result
either in losses to the Strategic Income Fund or the Portfolio due to subsequent
declines in value of the portfolio security or, if the Strategic Income Fund or
the Portfolio has entered into a contract to sell the security, could result in
possible liability to the purchaser.
 
The risk also exists that an emergency situation may arise in one or more
emerging markets as a result of which trading of securities may cease or may be
substantially curtailed and prices for the Strategic Income Fund's or the
Portfolio's portfolio securities in such markets may not be readily available.
Section 22(e) of the 1940 Act permits a registered investment company to suspend
redemption of its shares for any period during which an emergency exists, as
determined by the SEC. Accordingly, when the Strategic Income Fund or the
Portfolio believes that appropriate circumstances warrant, it will promptly
apply to the SEC for a determination that an emergency exists within the meaning
of Section 22(e) of the 1940 Act. During the period
 
                               Prospectus Page 22
<PAGE>
                            AIM GLOBAL INCOME FUNDS
commencing from the Strategic Income Fund's or the Portfolio's identification of
such conditions until the date of SEC action, the portfolio securities of the
Strategic Income Fund or the Portfolio in the affected markets will be valued at
fair value as determined in good faith by or under the direction of the
Company's Board of Directors or the Portfolio's Board of Trustees.
 
MORTGAGE-BACKED AND ASSET-BACKED SECURITIES. The yield characteristics of
mortgage-backed and asset-backed securities differ from those of traditional
bonds. Among the major differences are that interest and principal payments are
made more frequently (usually monthly) and that principal may be prepaid at any
time because the underlying mortgage loans or other assets generally may be
prepaid at any time. Generally, prepayments on fixed-rate mortgage loans will
increase during a period of falling interest rates and decrease during a period
of rising interest rates. Mortgage-backed and asset-backed securities may also
decrease in value as a result of increasing market interest rates and, because
of prepayments, may benefit less than other bonds from declining interest rates.
Reinvestments of prepayments may occur at lower interest rates than the original
investment, thus adversely affecting the yield of the Government Income Fund or
the Strategic Income Fund. Actual prepayment experience may cause the yield of a
mortgage-backed security to differ from what was assumed when the Fund purchased
the security. The market for privately issued mortgage-backed and asset-backed
securities is smaller and less liquid than the market for U.S. government
mortgage-backed securities.
 
Foreign mortgage-backed securities markets are substantially smaller than U.S.
markets, but have been established in several countries, including Germany,
Denmark, Sweden, Canada and Australia, and may be developed elsewhere. Foreign
mortgage-backed securities generally are structured similar to domestic
mortgage-backed securities, and they normally present substantially similar
investment risks as well as the other risks normally associated with foreign
securities.
 
LOAN PARTICIPATIONS AND ASSIGNMENTS. The Strategic Income Fund and the Portfolio
may have difficulty disposing of Assignments and Participations. The liquidity
of such securities is limited and, the Fund and the Portfolio anticipate that
such securities could be sold only to a limited number of institutional
investors. The lack of a liquid secondary market could have an adverse impact on
the value of such securities and on the Fund's and the Portfolio's ability to
dispose of particular Assignments or Participations when necessary to meet the
Fund's and/or the Portfolio's liquidity needs or in response to a specific
economic event, such as a deterioration in the creditworthiness of the borrower.
The lack of a liquid secondary market for Assignments and Participations also
may make it more difficult for the Fund and/or the Portfolio to assign a value
to those securities for purposes of valuing the Fund's or the Portfolio's
portfolio and calculating its net asset value.
 
SOVEREIGN DEBT. The Strategic Income Fund and the Portfolio may invest in
sovereign debt securities of emerging market governments, including Brady Bonds.
Investments in such securities involve special risks. The issuer of the debt or
the governmental authorities that control the repayment of the debt may be
unable or unwilling to repay principal or interest when due in accordance with
the terms of such debt. Periods of economic uncertainty may result in the
volatility of market prices of sovereign debt obligations, and in turn a Fund's
net asset value, to a greater extent than the volatility inherent in domestic
fixed income securities.
 
A sovereign debtor's willingness or ability to repay principal and pay interest
in a timely manner may be affected by, among other factors, its cash flow
situation, the extent of its foreign reserves, the availability of sufficient
foreign exchange on the date a payment is due, the relative size of the debt
service burden to the economy as a whole, the sovereign debtor's policy toward
principal international lenders and the political constraints to which a
sovereign debtor may be subject. Emerging market governments could default on
their sovereign debt. Such sovereign debtors also may be dependent on expected
disbursements from foreign governments, multilateral agencies and other entities
abroad to reduce principal and interest arrearages on their debt. The commitment
on the part of these governments, agencies and others to make such disbursements
may be conditioned on a sovereign debtor's implementation of economic reforms
and/or economic performance and the timely service of such debtor's obligations.
Failure to implement such reforms, achieve such levels of economic performance
or repay principal or interest when due, may result in the cancellation of such
third parties' commitments to lend funds to the sovereign debtor, which may
further impair such debtor's ability or willingness to timely service its debts.
 
                               Prospectus Page 23
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The occurrence of political, social or diplomatic changes in one or more of the
countries issuing sovereign debt could adversely affect the Fund's or the
Portfolio's investments. Emerging markets are faced with social and political
issues and some of them have experienced high rates of inflation in recent years
and have extensive internal debt. Among other effects, high inflation and
internal debt service requirements may adversely affect the cost and
availability of future domestic sovereign borrowing to finance governmental
programs, and may have other adverse social, political and economic
consequences. Political changes or a deterioration of a country's domestic
economy or balance of trade may affect the willingness of countries to service
their sovereign debt. Although the Sub-adviser intends to manage the Strategic
Income Fund and the Portfolio in a manner that will minimize the exposure to
such risks, there can be no assurance that adverse political changes will not
cause the Fund or the Portfolio to suffer a loss of interest or principal on any
of its holdings.
 
In recent years, some of the emerging market countries in which the Strategic
Income Fund and the Portfolio expect to invest have encountered difficulties in
servicing their sovereign debt obligations. Some of these countries have
withheld payments of interest and/or principal of sovereign debt. These
difficulties have also led to agreements to restructure external debt
obligations -- in particular, commercial bank loans, typically by rescheduling
principal payments, reducing interest rates and extending new credits to finance
interest payments on existing debt. In the future, holders of emerging market
sovereign debt securities may be requested to participate in similar
rescheduling of such debt. Certain emerging market countries are among the
largest debtors to commercial banks and foreign governments. Currently, Brazil,
Mexico and Argentina are the largest debtors among developing countries. At
times certain emerging market countries have declared moratoria on the payment
of principal and interest on external debt; such a moratorium is currently in
effect in certain emerging market countries. There is no bankruptcy proceeding
by which a creditor may collect in whole or in part sovereign debt on which an
emerging market government has defaulted.
 
The ability of emerging market governments to make timely payments on their
sovereign debt securities is likely to be influenced strongly by a country's
balance of trade and its access to trade and other international credits. A
country whose exports are concentrated in a few commodities could be vulnerable
to a decline in the international prices of one or more of such commodities.
Increased protectionism on the part of a country's trading partners could also
adversely affect its exports. Such events could diminish a country's trade
account surplus, if any. To the extent that a country receives payment for its
exports in currencies other than hard currencies, its ability to make hard
currency payments could be affected.
 
Investors should also be aware that certain sovereign debt instruments in which
the Strategic Income Fund and the Portfolio may invest involve great risk. As
noted above, sovereign debt obligations issued by emerging market governments
generally are deemed to be the equivalent in terms of quality to securities
rated below investment grade by Moody's and S&P. Such securities are regarded as
predominantly speculative with respect to the issuer's capacity to pay interest
and repay principal in accordance with the terms of the obligations and involve
major risk exposure to adverse conditions. Some of such securities, with respect
to which the issuer currently may not be paying interest or may be in payment
default, may be comparable to securities rated D by S&P or C by Moody's. The
Strategic Income Fund and the Portfolio may have difficulty disposing of and
valuing certain sovereign debt obligations because there may be a limited
trading market for such securities. Because there is no liquid secondary market
for many of these securities, the Strategic Income Fund and the Portfolio
anticipate that such securities could be sold only to a limited number of
dealers or institutional investors.
 
LOWER QUALITY DEBT SECURITIES. Under normal market conditions the Strategic
Income Fund may invest up to 50% of its total assets in debt securities rated
below investment grade, and up to 100% the Portfolio's total assets will be so
invested. Such investments involve a high degree of risk.
 
Debt rated Baa by Moody's is considered by Moody's to have speculative
characteristics. Debt rated BB, B, CCC, CC or C by S&P and debt rated Ba, B,
Caa, Ca or C by Moody's, is regarded, on balance, as predominantly speculative
with respect to the issuer's capacity to pay interest and repay principal in
accordance with the terms of the obligation. While such lower quality debt will
likely have some quality and protective characteristics, these are outweighed by
large uncertainties or major risk exposures to adverse conditions. Debt rated C
by Moody's or S&P is the lowest quality debt that is not in default as to
principal or interest and such
 
                               Prospectus Page 24
<PAGE>
                            AIM GLOBAL INCOME FUNDS
issues so rated can be regarded as having extremely poor prospects of ever
attaining any real investment standing. Lower quality debt securities are also
generally considered to be subject to greater risk than higher quality
securities with regard to a deterioration of general economic conditions. These
securities are the equivalent of high yield, high risk bonds, commonly known as
"junk bonds." As noted above, the Strategic Income Fund and the Portfolio may
invest in debt securities rated below C, which are in default as to principal
and/ or interest.
 
Ratings of debt securities represent the rating agency's opinion regarding their
quality and are not a guarantee of quality. Rating agencies attempt to evaluate
the safety of principal and interest payments and do not evaluate the risks of
fluctuations in market value. Also, rating agencies may fail to make timely
changes in credit quality in response to subsequent events, so that an issuer's
current financial condition may be better or worse than a rating indicates. See
"Appendix A" for a discussion of Moody's and S&P's ratings.
 
The market values of lower quality debt securities tend to reflect individual
developments of the issuer to a greater extent than do higher quality
securities, which react primarily to fluctuations in the general level of
interest rates. In addition, lower quality debt securities tend to be more
sensitive to economic conditions and generally have more volatile prices than
higher quality securities. Issuers of lower quality securities are often highly
leveraged and may not have available to them more traditional methods of
financing. For example, during an economic downturn or a sustained period of
rising interest rates, highly leveraged issuers of lower quality securities may
experience financial stress. During such periods, such issuers may not have
sufficient revenues to meet their interest payment obligations. The issuer's
ability to service its debt obligations may also be adversely affected by
specific developments affecting the issuer, such as the issuer's inability to
meet specific projected business forecasts or the unavailability of additional
financing. The risk of loss due to default by the issuer is significantly
greater for the holders of lower quality securities because such securities are
generally unsecured and may be subordinated to the claims of other creditors of
the issuer.
 
Lower quality debt securities of corporate issuers frequently have call or
buy-back features which would permit an issuer to call or repurchase the
security from the Strategic Income Fund or the Portfolio. If an issuer exercises
these provisions in a declining interest rate market, the Strategic Income Fund
or the Portfolio may have to replace the security with a lower yielding
security, resulting in a decreased return for investors. In addition, the
Strategic Income Fund and the Portfolio may have difficulty disposing of lower
quality securities because there may be a thin trading market for such
securities. There may be no established retail secondary market for many of
these securities, and the Strategic Income Fund and the Portfolio anticipate
that such securities could be sold only to a limited number of dealers or
institutional investors. The lack of a liquid secondary market also may have an
adverse impact on market prices of such instruments and may make it more
difficult for the Strategic Income Fund and the Portfolio to obtain accurate
market quotations for purposes of valuing the securities in the portfolios of
the Strategic Income Fund and the Portfolio. Adverse publicity and investor
perceptions, whether or not based on fundamental analysis, may also decrease the
values and liquidity of lower quality securities, especially in a thinly traded
market. The Strategic Income Fund and the Portfolio also may acquire lower
quality debt securities during an initial underwriting or may acquire lower
quality debt securities which are sold without registration under applicable
securities laws. Such securities involve special considerations and risks.
 
Factors having an adverse effect on the market value of lower rated securities
or their equivalents purchased by the Strategic Income Fund and the Portfolio
will adversely impact net asset value of the Strategic Income Fund and the High
Income Fund. See "Risk Factors" in the Statement of Additional Information. In
addition to the foregoing, such factors may include: (i) potential adverse
publicity; (ii) heightened sensitivity to general economic or political
conditions; and (iii) the likely adverse impact of a major economic recession.
The Strategic Income Fund and the Portfolio each also may incur additional
expenses to the extent it is required to seek recovery upon a default in the
payment of principal or interest on its portfolio holdings, and the Fund and the
Portfolio may have limited legal recourse in the event of a default. Debt
securities issued by governments in emerging markets can differ from debt
obligations issued by private entities in that remedies from defaults generally
must be pursued in the courts of the defaulting government, and legal recourse
is therefore somewhat diminished. Political conditions, in terms of a
government's willingness to meet the terms of its debt obligations, also are of
considerable
 
                               Prospectus Page 25
<PAGE>
                            AIM GLOBAL INCOME FUNDS
significance. There can be no assurance that the holders of commercial bank debt
may not contest payments to the holders of debt securities issued by governments
in emerging markets in the event of default by the governments under commercial
bank loan agreements.
 
As of October 31, 1997, the Strategic Income Fund and the Portfolio had 89.27%
and 86.59%, respectively, of their total net assets in debt securities that
received a rating from Moody's and 4.00% and 10.29%, respectively, of their
total net assets in debt securities that were not so rated. In addition, the
Strategic Income Fund and the Portfolio had 6.73% and 3.12%, respectively, of
their total net assets in cash and net receivables. The Strategic Income Fund
had the following percentages of its total net assets invested in rated
securities: Aaa -- 41.23%, Aa -- 12.68%, A -- 1.31%, Baa -- 3.75%, Ba -- 24.30%,
B -- 6.00%, Caa -- 0.00%, Ca -- 0.00%, C -- 0.00%. Included under the unrated
category are securities held by the Strategic Income Fund which, while unrated,
have been determined by the Sub-adviser to be of comparable quality to
securities in the following categories: Ba -- 1.03%; and B -- 2.97%. The
Portfolio had the following percentages of its total net assets invested in
rated securities: Aaa -- 7.99%, Aa -- 0.00%, A -- 0.00%, Baa -- 13.11%, Ba --
48.56%, B -- 16.93%, Caa -- 0.00%, Ca -- 0.00%, C -- 0.00%. Included under the
unrated category are securities held by the Portfolio which, while unrated, have
been determined by the Sub-adviser to be of comparable quality to securities in
the following rating categories: Ba -- 3.22%; and B -- 7.07%. It should be noted
that the allocation of the investments of the Strategic Income Fund and the
Portfolio by rating on any given date will vary and should not be considered
representative of the future portfolio composition of the Strategic Income Fund
or the Portfolio.
 
OPTIONS, FUTURES AND FORWARD CURRENCY TRANSACTIONS. Although each Fund and the
Portfolio is authorized to enter into options, futures and forward currency
transactions, the Funds and the Portfolio might not enter into any such
transactions. In addition, issuers in emerging markets typically are subject to
a greater degree of change in earnings and business prospects than issuers in
developed countries. Options, futures and foreign currency transactions involve
certain risks, which include: (1) dependence on the Sub-adviser's ability to
predict movements in the prices of individual securities, fluctuations in the
general securities markets or in the appropriate market sector and movements in
interest rates and currency markets; (2) imperfect correlation, or even no
correlation, between movements in the price of options, forward contracts,
futures contracts or options thereon and movements in the price of the currency
or security hedged or used for cover; (3) the fact that skills and techniques
needed to trade options, futures contracts and options thereon or to use forward
currency contracts are different from those needed to select the securities in
which a Fund or Portfolio invests; (4) lack of assurance that a liquid secondary
market will exist for any particular option, futures contract or option thereon
at any particular time; (5) the possible loss of principal under certain
conditions; and (6) the possible inability of a Fund or Portfolio to purchase or
sell a portfolio security at a time when it would otherwise be favorable for it
to do so, or the possible need for a Fund or Portfolio to sell a security at a
disadvantageous time, due to the need for the Fund or Portfolio to maintain
"cover" or to set aside securities in connection with hedging transactions.
 
ILLIQUID SECURITIES. The Government Income Fund, the Strategic Income Fund and
the Portfolio may invest up to 15% of their net assets, in securities for which
no readily available market exists, so-called "illiquid securities." Illiquid
securities may be more difficult to value than liquid securities and the sale of
illiquid securities generally will require more time and result in higher
brokerage charges or dealer discounts and other selling expenses than the sale
of liquid securities. Moreover, illiquid securities often sell at a price lower
than similar securities that are liquid.
 
                               Prospectus Page 26
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                 HOW TO INVEST
 
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GENERAL. Advisor Class shares are offered through this Prospectus to (a)
trustees or other fiduciaries purchasing shares for employee benefit plans which
are sponsored by organizations which have at least 1,000 employees; (b) any
account with assets of at least $10,000 if (i) a financial planner, trust
company, bank trust department or registered investment adviser has investment
discretion over such account, and (ii) the account holder pays such person as
compensation for its advice and other services an annual fee of at least .50% on
the assets in the account ("Advisory Account"); (c) any account with assets of
at least $10,000 if (i) such account is established under a "wrap fee" program,
and (ii) the account holder pays the sponsor of such program an annual fee of at
least .50% on the assets in the account ("Wrap Fee Account"); (d) accounts
advised by INVESCO (NY), Inc. or one of the companies formerly affiliated with
Liechtenstein Global Trust AG, provided such accounts were invested in Advisor
Class shares of any of the AIM/GT Funds on June 1, 1998; and (e) any of the
companies composing or affiliated with AMVESCAP PLC. Financial planners, trust
companies, bank trust companies and registered investment advisers referenced in
subpart (b) and sponsors of "wrap fee" programs referenced in subpart (c) are
collectively referred to as "Financial Advisers." Investors in Wrap Fee Accounts
and Advisory Accounts may only purchase Advisor Class shares through Financial
Advisers who have entered into agreements with AIM Distributors and certain of
its affiliates. Investors may be charged a fee by their agents or brokers if
they effect transactions other than through a dealer.
 
All purchase orders will be executed at the public offering price next
determined after the purchase order is received. Orders received by authorized
institutions (or their designees) before the close of regular trading on the New
York Stock Exchange ("NYSE") (currently 4:00 p.m. Eastern Time, unless weather,
equipment failure or other factors contribute to an earlier closing time) on any
Business Day will be executed at the public offering price for the applicable
class of shares determined that day. Orders received by authorized institutions
(or their designees) before the close of regular trading on the NYSE on a
Business Day will be deemed to have been received by a Fund on such day and will
be effected that day, provided that such orders are transmitted to the Transfer
Agent prior to the time set for the receipt of such orders. A "Business Day" is
any day Monday through Friday on which the NYSE is open for business. The
authorized institution (or its designee) will be responsible for forwarding the
investor's order to the Transfer Agent so that it will be received prior to such
time. THE FUNDS RESERVE THE RIGHT TO REJECT ANY PURCHASE ORDER. In particular,
the Funds may reject purchase orders or exchanges by investors who appear to
follow, in the Sub-adviser's judgment, a market-timing strategy or otherwise
engage in excessive trading. See "How to Make Exchanges -- Limitations on
Purchase Orders and Exchanges."
 
Fiduciaries and Financial Advisers may be required to provide information
satisfactory to AIM Distributors concerning their eligibility to purchase
Advisor Class shares. For specific information on opening an account, please
contact your Financial Adviser or AIM Distributors.
 
FOR ANY FUND NAMED ON THE COVER PAGE OF THIS PROSPECTUS, AIM DISTRIBUTORS AND
ITS AGENTS RESERVE THE RIGHT AT ANY TIME (1) TO WITHDRAW ALL OR ANY PART OF THE
OFFERING MADE BY THIS PROSPECTUS; (2) TO REJECT ANY PURCHASE OR EXCHANGE ORDER
OR TO CANCEL ANY PURCHASE DUE TO NONPAYMENT OF THE PURCHASE PRICE; (3) TO
INCREASE, WAIVE OR LOWER THE MINIMUM INVESTMENT REQUIREMENTS; OR (4) TO MODIFY
ANY OF THE TERMS OR CONDITIONS OF PURCHASE OF SHARES OF SUCH FUND. For any Fund
named on the cover page, AIM Distributors and its agents will use their best
efforts to provide notice of any such actions through correspondence with
broker-dealers and existing shareholders, supplements to the AIM/GT Funds'
prospectuses, or other appropriate means, and will provide sixty (60) days'
notice in the case of termination or material modification to the exchange
privilege discussed under the caption "How to Make Exchanges."
 
                               Prospectus Page 27
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
PURCHASES BY BANK WIRE. Shares of the Funds may also be purchased by bank wire.
Bank wire purchases will be effected at the next determined public offering
price after the bank wire is received. A wire investment is considered received
when the Transfer Agent is notified that the bank wire has been credited to the
Funds. Prior telephonic or facsimile notice that a bank wire is being sent must
be provided to the Transfer Agent. A bank may charge a service fee for wiring
money to the Funds. The Transfer Agent currently does not charge a service fee
for facilitating wire purchases, but reserves the right to do so in the future.
For more information, please refer to the Shareholder Account Manual in this
Prospectus.
 
CERTIFICATES. Physical certificates representing a Fund's shares will not be
issued unless a written request is submitted to the Transfer Agent. Shares of a
Fund are recorded on a register by the Transfer Agent, and shareholders who do
not elect to receive certificates have the same rights of ownership as if
certificates had been issued to them. Redemptions and exchanges by shareholders
who hold certificates may take longer to effect than similar transactions
involving non-certificated shares because the physical delivery and processing
of properly executed certificates is required. ACCORDINGLY, THE FUNDS RECOMMEND
THAT SHAREHOLDERS DO NOT REQUEST ISSUANCE OF CERTIFICATES.
 
PORTFOLIO REBALANCING PROGRAM. The Portfolio Rebalancing Program ("Program")
permits eligible shareholders to establish and maintain an allocation across a
range of AIM/GT Funds. The Program automatically rebalances holdings of AIM/ GT
Funds to the established allocation on a periodic basis. Under the Program, a
shareholder may predesignate, on a percentage basis, how the total value of his
or her holdings in a minimum of two, and a maximum of ten, AIM/GT Funds
("Personal Portfolio") is to be rebalanced on a monthly, quarterly, semiannual,
or annual basis.
 
Rebalancing under the Program will be effected through the exchange of shares of
one or more AIM/ GT Funds in the shareholder's Personal Portfolio for shares of
the same class of one or more other AIM/GT Funds in the shareholder's Personal
Portfolio. See "How to Make Exchanges." If shares of the AIM/GT Fund(s) in a
shareholder's Personal Portfolio have appreciated during a rebalancing period,
the Program will result in shares of AIM/GT Fund(s) that have appreciated most
during the period being exchanged for shares of AIM/GT Fund(s) that have
appreciated least. SUCH EXCHANGES ARE NOT TAX-FREE AND MAY RESULT IN A
SHAREHOLDER'S REALIZING A GAIN OR LOSS, AS THE CASE MAY BE, FOR FEDERAL INCOME
TAX PURPOSES. See "Dividends, Other Distributions and Federal Income Taxation."
Participation in the Program does not assure that a shareholder will profit from
purchases under the Program nor does it prevent or lessen losses in a declining
market.
 
The Program will automatically rebalance the shareholder's Personal Portfolio on
the 28th day of the last month of the period chosen (or the immediately
preceding business day if the 28th is not a business day), subject to any
limitations below. The Program will not execute an exchange if the variance in a
shareholder's Personal Portfolio for a particular Fund would be 2% or less. In
predesignating percentages, shareholders must use whole percentages and totals
must equal 100%. Shareholders participating in the Program may not request
issuance of physical certificates representing a Fund's shares. Exchanges made
under the Program are not subject to the four free exchanges per year
limitation. The Funds and AIM Distributors reserve the right to modify, suspend,
or terminate the Program at any time on 60 days' prior written notice to
shareholders. A request to participate in the Program must be received in good
order at least five business days prior to the next rebalancing date. Once a
shareholder establishes the Program for his or her Personal Portfolio, a
shareholder cannot cancel or change which rebalancing frequency, which Funds or
what allocation percentages are assigned to the Program, unless canceled or
changed in writing and received by the Transfer Agent in good order at least
five business days prior to the rebalancing date. Certain Financial Institutions
may charge a fee for establishing accounts relating to the Program. Investors
should contact their Financial Institution or AIM Distributors for more
information.
 
                               Prospectus Page 28
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             HOW TO MAKE EXCHANGES
 
- --------------------------------------------------------------------------------
 
Advisor Class shares of a Fund may be exchanged for Advisor Class shares of any
other AIM/GT Fund, based on their respective net asset values without imposition
of any sales charges, provided that the registration remains identical. Exchange
requests received in good order by the Transfer Agent before the close of
regular trading on the NYSE on any Business Day will be processed at the net
asset value calculated on that day.
 
EXCHANGES ARE NOT TAX-FREE AND MAY RESULT IN A SHAREHOLDER REALIZING A GAIN OR
LOSS, AS THE CASE MAY BE, FOR FEDERAL INCOME TAX PURPOSES. See "Dividends, Other
Distributions and Federal Income Taxation." In addition to the Funds, the AIM/GT
Funds include the following:
 
  - AIM AMERICA VALUE FUND
  - AIM DEVELOPING MARKETS FUND
  - AIM DOLLAR FUND
  - AIM EMERGING MARKETS FUND
  - AIM EUROPE GROWTH FUND
  - AIM GLOBAL CONSUMER PRODUCTS AND SERVICES FUND
  - AIM GLOBAL GROWTH & INCOME FUND
  - AIM GLOBAL HEALTH CARE FUND
  - AIM GLOBAL INFRASTRUCTURE FUND
  - AIM GLOBAL RESOURCES FUND
  - AIM GLOBAL TELECOMMUNICATIONS FUND
  - AIM INTERNATIONAL GROWTH FUND
  - AIM JAPAN GROWTH FUND
  - AIM LATIN AMERICAN GROWTH FUND
  - AIM MID CAP GROWTH FUND
  - AIM NEW DIMENSION FUND
  - AIM NEW PACIFIC GROWTH FUND
  - AIM SMALL CAP EQUITY FUND
  - AIM WORLDWIDE GROWTH FUND
 
Investors in Wrap Fee Accounts and Advisory Accounts interested in making an
exchange should contact his or her Financial Adviser to request the prospectus
of the other AIM/GT Fund(s) being considered. Other investors should contact AIM
Distributors. The terms of the exchange offer may be modified at any time, on 60
days' prior written notice.
 
EXCHANGES BY TELEPHONE. A shareholder may give exchange information to his or
her Financial Adviser. Exchange orders will be accepted by telephone provided
that the exchange involves only uncertificated shares on deposit in the
shareholder's account or for which certificates have previously been deposited.
Shareholders automatically have telephone privileges to authorize exchanges. The
Funds, AIM Distributors and the Transfer Agent will not be liable for any loss
or damage for acting in good faith upon instructions received by telephone and
reasonably believed to be genuine. The Funds employ reasonable procedures to
confirm that instructions communicated by telephone are genuine prior to acting
upon instructions received by telephone, including requiring some form of
personal identification, providing written confirmation of such transactions,
and/or tape recording of telephone instructions.
 
LIMITATIONS ON PURCHASE ORDERS AND EXCHANGES. The AIM/GT Funds are not intended
to serve as vehicles for frequent trading in response to short-term fluctuations
in the market. Due to the disruptive effect that market-timing investment
strategies and excessive trading can have on efficient portfolio management,
each AIM/GT Fund and AIM Distributors reserve the right to refuse purchase
orders and exchanges by any person or group, if, in the Sub-adviser's judgment,
such person or group was following a market-timing strategy or was otherwise
engaging in excessive trading.
 
In addition, each AIM/GT Fund and AIM Distributors reserve the right to refuse
purchase orders and exchanges by any person or group if, in the Sub-adviser's
judgment, the Fund would not be able to invest the money effectively in
accordance with that Fund's investment objective and policies or would otherwise
potentially be adversely affected. Although an AIM/GT Fund will attempt to give
investors prior notice whenever it is reasonably able to do so, it may impose
the above restrictions at any time.
 
Finally, as described above, each AIM/GT Fund and AIM Distributors reserve the
right to reject any purchase order.
 
                               Prospectus Page 29
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                              HOW TO REDEEM SHARES
 
- --------------------------------------------------------------------------------
 
Shares of each Fund may be redeemed at their net asset value and redemption
proceeds will be sent within seven days of the execution of a redemption
request. Redemption requests may be transmitted to the Transfer Agent by
telephone or by mail, in accordance with the instructions provided in the
Shareholder Account Manual. Redemptions will be effected at the net asset value
next determined after the Transfer Agent has received the request, provided that
the request is transmitted to the Transfer Agent prior to the time set for
receipt of such redemption request. Redemptions will only be effected if the
request is received in good order and accompanied by any required supporting
documentation. Redemption requests will not require a signature guarantee if the
redemption proceeds are to be sent either: (i) to the redeeming shareholder at
the shareholder's address of record as maintained by the Transfer Agent,
provided the shareholder's address of record has not been changed within the
preceding fifteen days; or (ii) directly to a pre-designated bank, savings and
loan or credit union account ("Pre-Designated Account"). ALL OTHER REDEMPTION
REQUESTS MUST BE ACCOMPANIED BY A SIGNATURE GUARANTEE OF THE REDEEMING
SHAREHOLDER'S SIGNATURE. A signature guarantee can be obtained from any bank,
U.S. trust company, a member firm of a U.S. stock exchange or a foreign branch
of any of the foregoing or other eligible guarantor institution. A notary public
is not an acceptable guarantor.
 
Shareholders with Pre-Designated Accounts should request that redemption
proceeds be sent either by bank wire or by check. The minimum redemption amount
for a bank wire is $500. Shareholders requesting a bank wire should allow two
business days from the time the redemption request is effected for the proceeds
to be deposited in the shareholder's Pre-Designated Account. See "How to Redeem
Shares -- Other Important Redemption Information." Shareholders may change their
Pre-Designated Accounts only by a letter of instruction to the Transfer Agent
containing all account signatures, each of which must be guaranteed. The
Transfer Agent currently does not charge a bank wire service fee for each wire
redemption sent, but reserves the right to do so in the future. The
shareholder's bank may charge a bank wire service fee.
REDEMPTIONS BY TELEPHONE. Redemption requests may be made by telephone by
calling the Transfer Agent at the appropriate toll-free number provided in the
Shareholder Account Manual. Shareholders who hold certificates for shares may
not redeem by telephone. REDEMPTION REQUESTS MAY NOT BE MADE BY TELEPHONE FOR
FIFTEEN DAYS FOLLOWING ANY CHANGE OF THE SHAREHOLDER'S ADDRESS OF RECORD.
 
Shareholders automatically have telephone privileges to authorize redemptions.
The Funds, AIM Distributors and the Transfer Agent will not be liable for any
loss or damage for acting in good faith upon instructions received by telephone
and reasonably believed to be genuine. The Fund employs reasonable procedures to
confirm that instructions communicated by telephone are genuine prior to acting
upon instructions received by telephone, including requiring some form of
personal identification, providing written confirmation of such transactions,
and/or tape recording of telephone instructions.
 
REDEMPTIONS BY MAIL. Redemption requests should be mailed directly to the
Transfer Agent at the appropriate address provided in the Shareholder Account
Manual. As discussed above, requests for payment of redemption proceeds to a
party other than the shareholder of record and/or requests that redemption
proceeds be mailed to an address other than the shareholder's address of record
require a signature guarantee. In addition, if the shareholder's address of
record has been changed within the preceding fifteen days, a signature guarantee
is required. Redemptions of shares for which certificates have been issued must
be accompanied by properly endorsed share certificates.
 
OTHER IMPORTANT REDEMPTION INFORMATION. A request for redemption will not be
processed until all of the necessary documentation has been received in good
order. A shareholder in a Wrap Fee Account or Advisory Account who is in doubt
as to what documents are required should contact his Financial Adviser or the
Transfer Agent.
 
                               Prospectus Page 30
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
Except in extraordinary circumstances and as permitted under the Investment
Company Act of 1940 ("1940 Act"), payment for shares redeemed by telephone, or
by mail will be made promptly after receipt of a redemption request, if in good
order, but not later than seven days after the date the request is executed.
Requests for redemption which are subject to any special conditions or which
specify a future or past effective date cannot be accepted.
 
If the Transfer Agent is requested to redeem shares for which a Fund has not yet
received good payment, the Fund may delay payment of redemption proceeds until
the Transfer Agent has assured itself that good payment has been collected for
the purchase of the shares. In the case of purchases by check it can take up to
10 business days to confirm that the check has cleared and good payment has been
received. Redemption proceeds will not be delayed when shares have been paid for
by wire or when the investor's account holds a sufficient number of shares for
which funds already have been collected.
 
AIM Distributors reserves the right to redeem the shares of any Advisory Account
or Wrap Fee Account if the amount invested in AIM/GT Funds through such account
is reduced to less than $500 through redemptions or other action by the
shareholder. Written notice will be given to the shareholder at least 60 days
prior to the date fixed for such redemption, during which time the shareholder
may increase the amount invested in AIM/ GT Funds through such account to an
aggregate amount of $500 or more.
 
                               Prospectus Page 31
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                           SHAREHOLDER ACCOUNT MANUAL
 
- --------------------------------------------------------------------------------
 
Purchase, exchange and redemption orders should be placed in accordance with
this Manual. It is recommended that investors in Wrap Fee Accounts and Advisory
Accounts make such orders through their Financial Adviser. See "How to Invest,"
"How to Make Exchanges," "How to Redeem Shares" and "Dividends, Other
Distributions and Federal Income Taxation" for more information.
 
Each Fund's Transfer Agent is GT GLOBAL INVESTOR SERVICES, INC.
 
INVESTMENTS BY MAIL
Send the completed Account Application (if initial purchase) or letter stating
Fund name, class of shares, shareholder's registered name and account number (if
subsequent purchase) with a check to:
 
    AIM/GT Funds
    P.O. Box 7345
    San Francisco, CA 94120-7345
 
INVESTMENTS BY BANK WIRE
A new account may be opened by calling 1-800-223-2138 to obtain an account
number. WITHIN SEVEN DAYS OF PURCHASE A COMPLETED ACCOUNT APPLICATION CONTAINING
THE APPROPRIATE CERTIFIED TAXPAYER IDENTIFICATION NUMBER MUST BE SENT TO THE
ADDRESS PROVIDED ABOVE UNDER "INVESTMENTS BY MAIL." Wire instructions must state
Fund name, class of shares, shareholder's registered name and account number.
Bank wires should be sent through the Federal Reserve Bank Wire System to:
 
    WELLS FARGO BANK N.A.
    ABA 121000248
    Attn: GT GLOBAL
         Account No. 4023-050701
 
EXCHANGES BY TELEPHONE
Call the Transfer Agent at 1-800-223-2138.
 
EXCHANGES BY MAIL
Send complete instructions, including name of Fund exchanging from, class of
shares, amount of exchange, name of the AIM/GT Fund exchanging into,
shareholder's registered name and account number, to:
 
    AIM/GT Funds
    P.O. Box 7893
    San Francisco, CA 94120-7893
 
REDEMPTIONS BY TELEPHONE
Call the Transfer Agent at 1-800-223-2138.
 
REDEMPTIONS BY MAIL
Send complete instructions, including name of Fund, class of shares, amount of
redemption, shareholder's registered name and account number, to:
 
    AIM/GT Funds
    P.O. Box 7893
    San Francisco, CA 94120-7893
 
OVERNIGHT MAIL
Overnight mail services do not deliver to post office boxes. To send purchase,
exchange or redemption orders by overnight mail, follow the above instructions
but send to the following address:
 
    GT Global Investor Services, Inc.
    California Plaza
    2121 N. California Boulevard
    Suite 450
    Walnut Creek, CA 94596
 
ADDITIONAL QUESTIONS
Shareholders with additional questions regarding purchase, exchange and
redemption procedures should call the Transfer Agent at 1-800-223-2138.
 
                               Prospectus Page 32
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                         CALCULATION OF NET ASSET VALUE
 
- --------------------------------------------------------------------------------
 
Each Fund calculates its net asset value as of the close of normal trading on
the NYSE (currently 4:00 p.m., Eastern Time, unless weather, equipment failure
or other factors contribute to an earlier closing time) each Business Day. Each
Fund's net asset value per share is computed by determining the value of its
total assets (which, in the case of the High Income Fund, is the value of its
proportionate share of the total assets of the Portfolio) subtracting all of its
liabilities, and dividing the result by the total number of shares outstanding
at such time. Net asset value is determined separately for each class of shares
of each Fund.
 
Long-term debt obligations held by a Fund or the Portfolio are valued at the
mean of representative quoted bid and asked prices for such securities or, if
such prices are not available, at prices for securities of comparable maturity,
quality and type; however, when the Sub-adviser deems it appropriate, prices
obtained from a bond pricing service will be used. Short-term debt investments
are amortized to maturity based on their cost, adjusted for foreign exchange
translation and market fluctuations, provided such valuations represent fair
value. Equity securities are valued at the last sale price on the exchange or in
the OTC market in which such securities are primarily traded, as of the close of
business on the day the securities are being valued, or, lacking any sales, at
the last available bid price. When market quotations for futures and options
positions held by a Fund or the Portfolio are readily available, those positions
are valued based upon such quotations.
 
Securities and other assets for which market quotations are not readily
available are valued at fair value determined in good faith by or under the
direction of the Company's Board of Directors or the Portfolio's Board of
Trustees. Securities and other assets quoted in foreign currencies are valued in
U.S. dollars based on the prevailing exchange rates on that day.
 
Each Fund's or the Portfolio's portfolio securities, from time to time, may be
listed primarily on foreign exchanges or OTC dealer markets that may trade on
days when the NYSE is closed (such as Saturday). As a result, the net asset
value of a Fund may be significantly affected by such trading on days when
shareholders cannot purchase or redeem shares of that Fund.
 
                               Prospectus Page 33
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                         DIVIDENDS, OTHER DISTRIBUTIONS
                          AND FEDERAL INCOME TAXATION
 
- --------------------------------------------------------------------------------
 
DIVIDENDS AND OTHER DISTRIBUTIONS. Each Fund declares and pays monthly dividends
from its net investment income, if any, which includes accrued interest, earned
discount (including both original issue and market discounts) and dividends less
applicable expenses. Each Fund also annually distributes substantially all of
its realized net capital gains and net gains from foreign currency transactions,
if any. Each Fund may make an additional dividend or other distribution each
year if necessary to avoid a 4% excise tax on certain undistributed income and
gain.
 
Dividends and other distributions paid by each Fund with respect to all classes
of its shares are calculated in the same manner and at the same time. The per
share income dividends on Advisor Class shares of a Fund will be higher than the
per share income dividends on shares of other classes of that Fund as a result
of the service and distribution fees applicable to those other shares.
SHAREHOLDERS MAY ELECT:
 
/ / to have all dividends and other distributions automatically reinvested in
    additional Advisor Class shares of the distributing Fund (or other AIM/ GT
    Funds); or
 
/ / to receive dividends in cash and have other distributions automatically
    reinvested in additional Advisor Class shares of the distributing Fund (or
    other AIM/GT Funds); or
 
/ / to receive other distributions in cash and have dividends automatically
    reinvested in additional Advisor Class shares of the distributing Fund (or
    other AIM/GT Funds); or
 
/ / to receive dividends and other distributions in cash.
 
Automatic reinvestments in additional Advisor Class shares are made at net asset
value without imposition of a sales charge. IF NO ELECTION IS MADE BY A
SHAREHOLDER, ALL DIVIDENDS AND OTHER DISTRIBUTIONS WILL BE AUTOMATICALLY
REINVESTED IN ADDITIONAL ADVISOR CLASS SHARES OF THE DISTRIBUTING FUND.
Reinvestments in another AIM/GT Fund may only be directed to an account with the
identical shareholder registration and account number. These elections may be
changed by a shareholder at any time; to be effective with respect to a
distribution, the shareholder or the shareholder's broker must contact the
Transfer Agent by mail or telephone at least 15 Business Days prior to the
payment date. THE FEDERAL INCOME TAX CONSEQUENCES OF DIVIDENDS AND OTHER
DISTRIBUTIONS ARE THE SAME WHETHER THEY ARE RECEIVED IN CASH OR REINVESTED IN
ADDITIONAL SHARES.
 
Any dividend or other distribution paid by a Fund has the effect of reducing the
net asset value per share on the ex-distribution date by the amount thereof.
Therefore, a dividend or other distribution paid shortly after a purchase of
shares would represent, in substance, a return of capital to the shareholder (to
the extent the distribution is paid on the shares so purchased), even though
subject to income tax, as discussed below.
 
TAXES. Each Fund intends to continue to qualify for treatment as a regulated
investment company under the Code. In each taxable year that a Fund so
qualifies, the Fund (but not its shareholders) will be relieved of federal
income tax on that part of its investment company taxable income (consisting
generally of net investment income, net gains from certain foreign currency
transactions and net short-term capital gain) and net capital gain (i.e., the
excess of net long-term capital gain over net short-term capital loss) that it
distributes to its shareholders. In the case of the High Income Fund, its
investment company taxable income and net capital gain consists of its
proportionate share of the Portfolio's net investment income, net gains from
certain foreign currency transactions and net short-term capital gain and net
capital gain. The Portfolio expects that it also will not be liable for any
federal income tax.
 
Dividends from a Fund's investment company taxable income (whether paid in cash
or reinvested in additional shares) are taxable to its shareholders as ordinary
income to the extent of the Fund's earnings and profits. Distributions of a
Fund's net capital gain, when designated as such, are taxable to its
shareholders as long-term capital gains, regardless of how long they have held
their Fund shares and whether paid in cash or reinvested in additional shares.
 
Under the Taxpayer Relief Act of 1997, different maximum tax rates apply to a
noncorporate
 
                               Prospectus Page 34
<PAGE>
                            AIM GLOBAL INCOME FUNDS
taxpayer's net capital gain depending on the taxpayer's holding period and
marginal rate of federal income tax -- generally, 28% for gain recognized on
securities held for more than one year but not more than 18 months and 20% (10%
for taxpayers in the 15% marginal tax bracket) for gain recognized on securities
held for more than 18 months. Each Fund may divide each net capital gain
distribution into a 28% rate gain distribution and a 20% rate gain distribution
(in accordance with the Fund's holding periods for the securities it sold that
generated the distributed gain), in which event its shareholders must treat
those portions accordingly.
 
Each Fund provides federal tax information to its shareholders annually,
including information about dividends and capital gain distributions paid during
the preceding year and, under certain circumstances, the shareholders'
respective shares of any foreign taxes paid (directly or indirectly) by the
Fund, in which event each shareholder would be required to include in his or her
gross income his or her pro rata share of those taxes, but might be entitled to
claim a credit or deduction for them. The information regarding capital gain
distributions designates the portions thereof subject to the different maximum
rates of tax applicable to noncorporate taxpayers' net capital gain indicated
above.
 
Each Fund must withhold 31% from dividends, capital gain distributions and
redemption proceeds payable to any individuals and certain other noncorporate
shareholders who have not furnished to the Fund a correct taxpayer
identification number or a properly completed claim for exemption on Form W-8 or
W-9. Withholding at that rate also is required from dividends and capital gain
distributions payable to such shareholders who otherwise are subject to backup
withholding. Fund accounts opened via a bank wire purchase (see "How to Invest
- -- Purchases Through the Distributor") are considered to have uncertified
taxpayer identification numbers unless a completed Form W-8 or W-9 or Account
Application is received by the Transfer Agent within seven days after the
purchase. A shareholder should contact the Transfer Agent if the shareholder is
uncertain whether a proper taxpayer identification number is on file with a
Fund.
 
A redemption of Fund shares may result in taxable gain or loss to the redeeming
shareholder, depending upon whether the redemption proceeds are more or less
than the shareholder's adjusted basis for the redeemed shares. An exchange of
Fund shares for shares of another mutual fund generally will have similar tax
consequences. In addition, if shares of a Fund are purchased within 30 days
before or after redeeming other shares of that Fund (regardless of class) at a
loss, all or a part of the loss will not be deductible and instead will increase
the basis of the newly purchased shares.
 
The foregoing is only a summary of some of the important federal tax
considerations generally affecting each Fund and its shareholders. See "Taxes"
in the Statement of Additional Information for a further discussion. There may
be other federal, state, local or foreign tax considerations applicable to a
particular investor. Prospective investors are therefore urged to consult their
tax advisers.
 
                               Prospectus Page 35
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                   MANAGEMENT
 
- --------------------------------------------------------------------------------
 
The Company's Board of Directors and the Portfolio's Board of Trustees have
overall responsibility for the operation of the Funds and the Portfolio,
respectively. The Company's Board of Directors and the Portfolio's Board of
Trustees have approved all significant agreements between the Company and the
Portfolio on the one side and persons or companies furnishing services to the
Funds and the Portfolio on the other, including the investment advisory and
administrative services agreement with AIM, the investment sub-advisory and
sub-administration agreement with the Sub-adviser, the agreements with AIM
Distributors regarding distribution of each Fund's shares, the custody agreement
with State Street Bank and Trust Company and the transfer agency agreement with
GT Global Investor Services, Inc. The day-to-day operations of each of the Funds
and the Portfolio are delegated to the officers of the Company and the
Portfolio, subject always to the objective and policies of the applicable Fund
and the Portfolio and to the general supervision of the Company's Board of
Directors and the Portfolio's Board of Trustees. See "Directors and Executive
Officers" in the Statement of Additional Information for information on the
Company's Directors and the Portfolio's Trustees.
 
INVESTMENT MANAGEMENT AND ADMINISTRATION. Services provided by AIM and the
Sub-adviser as the Government Income Fund's, the Strategic Income Fund's and the
Portfolio's investment managers and administrators include, but are not limited
to, determining the composition of the investment portfolio of the Government
Income Fund, the Strategic Income Fund and the Portfolio and placing orders to
buy, sell or hold particular securities. In addition, AIM and the Sub-adviser
provide the following administration services to the Funds and the Portfolio:
furnishing corporate officers and clerical staff; providing office space,
services and equipment; and supervising all matters relating to the Government
Income Fund's, the Strategic Income Fund's and the Portfolio's operation.
 
The Government Income Fund and the Strategic Income Fund each pays AIM
investment management and administration fees computed daily and payable
monthly, based on their respective average daily net assets, for such services
at the annualized rate of .725% on the first $500 million, .70% on the next $1
billion, .675% on the next $1 billion, and .65% on amounts thereafter. Out of
the aggregate fees payable by a Fund, AIM pays the Sub-adviser sub-advisory and
sub-administration fees equal to 40% of the aggregate fees AIM receives from
each Fund. The investment management and administration fees paid by the Funds
and the Portfolio are higher than those paid by most mutual funds. The High
Income Fund pays AIM administration fees at the annualized rate of 0.25% of the
Fund's average daily net assets. AIM has appointed the Sub-adviser as the Fund's
sub-administrator. In addition, the Fund bears its pro rata portion of the
investment management and administration fees paid by the Portfolio to AIM and
the Sub-adviser. The Portfolio pays AIM such fees, based on the average daily
net assets of the Portfolio at the annualized rate of .475% on the first $500
million, .45% on the next $1 billion, .425% on the next $1 billion and .40% on
amounts thereafter, plus 2% of the Portfolio's total investment income as stated
in the Portfolio's Statement of Operations, calculated in accordance with
generally accepted accounting principles, adjusted daily for currency
revaluations, on a marked to market basis, of the Portfolio's assets; provided,
however, that during any fiscal year this amount shall not exceed 2% of the
Portfolio's total investment income calculated in accordance with generally
accepted accounting principles. Out of its aggregate fees payable by the High
Income Fund and the Portfolio, AIM pays the Sub-adviser sub-advisory and
sub-administration fees equal to 40% of the aggregate fees AIM receives from the
High Income Fund and the Portfolio. Each Fund pays all expenses not assumed by
AIM, the Sub-adviser, AIM Distributors or any other agents. AIM has undertaken
to limit the expenses of the Advisor Class shares of the Government Income Fund
and the Strategic Income Fund (exclusive of brokerage commissions, taxes,
interest and extraordinary expenses) to the maximum annual level of 1.50% of the
average daily net assets of each such Fund's Advisor Class shares. AIM has
undertaken to limit the expenses of the High Income Fund's Advisor
 
                               Prospectus Page 36
<PAGE>
                            AIM GLOBAL INCOME FUNDS
Class shares (and such Fund's pro-rata portion of the Portfolio's expenses) to
the maximum annual level of 1.85% of the average daily net assets of such Fund's
Advisor Class shares.
 
The Sub-adviser also serves as each Fund's pricing and accounting agent. For
these services the Sub-adviser receives a fee at an annual rate derived by
applying 0.03% to the first $5 billion of assets of the AIM/GT Funds and 0.02%
to the assets in excess of $5 billion and allocating the result according to
each Fund's average daily net assets.
 
AIM, 11 Greenway Plaza, Suite 100, Houston, Texas 77046, serves as the
investment adviser to the Government Income Fund, the Strategic Income Fund and
the Portfolio pursuant to a master investment advisory agreement, dated as of
May 29, 1998 (the "Advisory Agreement"). AIM was organized in 1976 and, together
with its subsidiaries, manages or advises approximately 90 investment company
portfolios encompassing a broad range of investment objectives. The Sub-adviser,
INVESCO (NY), Inc., 50 California Street, 27th Floor, San Francisco, California
94111, and 1166 Avenue of the Americas, New York, New York 10036, serves as the
sub-adviser to the Government Income Fund, the Strategic Income Fund and the
Portfolio pursuant to an investment sub-advisory agreement dated as of May 29,
1998. Prior to May 29, 1998, the Sub-adviser was known as Chancellor LGT Asset
Management, Inc. On May 29, 1998, Liechtenstein Global Trust AG ("LGT"), the
former indirect parent organization of the Sub-adviser, consummated a purchase
agreement with AMVESCAP PLC pursuant to which AMVESCAP PLC acquired LGT's Asset
Management Division, which included the Sub-adviser and certain other
affiliates. As a result of this transaction, the Sub-adviser is now an indirect
wholly owned subsidiary of AMVESCAP PLC. Prior to the sale, the Sub-adviser and
its worldwide asset management affiliates provided investment management and/or
administrative services to institutional, corporate and individual clients
around the world since 1969.
 
AIM and the Sub-adviser and their worldwide asset management affiliates provide
investment management and/or administrative services to institutional, corporate
and individual clients around the world. AIM and the Sub-adviser are both
indirect wholly owned subsidiaries of AMVESCAP PLC. AMVESCAP PLC and its
subsidiaries are an independent investment management group that has a
significant presence in the institutional and retail segment of the investment
management industry in North America and Europe, and a growing presence in Asia.
 
In addition to the investment resources of their Houston, San Francisco and New
York offices, AIM and the Sub-adviser draw upon the expertise, personnel, data
and systems of other offices, including investment offices in Atlanta, Boston,
Dallas, Denver, Louisville, Miami, Portland (Oregon), Frankfurt, Hong Kong,
London, Singapore, Sydney, Tokyo and Toronto. In managing the Fund and the
Portfolio, the Sub-adviser employs a team approach, taking advantage of its
investment resources around the world in seeking each Fund's investment
objective.
 
                               Prospectus Page 37
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The investment professionals primarily responsible for the portfolio management
of the Government Income Fund, the Strategic Income Fund and the Portfolio are
as follows:
 
<TABLE>
<CAPTION>
                             RESPONSIBILITIES FOR                             BUSINESS EXPERIENCE
NAME/OFFICE                        THE FUND                                     PAST FIVE YEARS
- -------------------------  -------------------------  -------------------------------------------------------------------
<S>                        <C>                        <C>
Cheng-Hock Lau             Portfolio Manager since    Chief Investment Officer for Global Fixed Income for the
 New York                   1996 (Government Income    Sub-adviser since October 1996. Senior Portfolio Manager for
                            Fund and Strategic         Global/International Fixed Income for the Sub-adviser from July
                            Income Fund); since 1997   1995 to October 1996. Employed by Chancellor Capital Management,
                            (High Income Portfolio)    Inc. ("Chancellor Capital"), a predecessor of the Sub-adviser,
                                                       from 1995 to October 1996. Senior Vice President and Senior
                                                       Portfolio Manager for Fiduciary Trust Company International from
                                                       1993 to 1995. Vice President at Bankers Trust Company from 1991 to
                                                       1993.
 
David B. Hughes            Portfolio Manager since    Head of Global Fixed Income, North America, for the Sub-adviser
 New York                   1998 (Government Income    since January 1998. Senior Portfolio Manager for
                            Fund)                      Global/International Fixed Income for the Sub-adviser from October
                                                       1996 to December 1997. Employed by Chancellor Capital from July
                                                       1995 to October 1996. Assistant Vice President of Fiduciary Trust
                                                       Company International from 1994 to 1995. Assistant Treasurer at
                                                       the Bankers Trust Company from 1991 to 1994.
 
Craig Munro                Portfolio Manager since    Portfolio Manager for the Sub-adviser since August 1997. Vice
 New York                   1998 (High Income          President and Senior Analyst in the Emerging Markets Group of the
                            Portfolio)                 Global Fixed Income Division of Merrill Lynch Asset Management
                                                       from 1993 to August 1997.
</TABLE>
 
                            ------------------------
 
In placing orders for the Government Income Fund's, Strategic Income Fund's and
the Portfolio's securities transactions, the Sub-adviser seeks to obtain the
best net results. Consistent with its obligation to obtain the best net results,
the Sub-adviser may consider a broker/dealer's sale of shares of the AIM Funds
as a factor in considering through whom portfolio transactions will be effected.
Brokerage transactions for the Funds and Portfolio may be executed through
affiliates of AIM or the Sub-adviser. High portfolio turnover (over 100%)
involves correspondingly greater brokerage commissions and other transaction
costs that the Funds or the Portfolio will bear directly and could result in the
realization of net capital gains which would be taxable when distributed to
shareholders.
 
DISTRIBUTION OF FUND SHARES. AIM Distributors is the distributor of each Fund's
Advisor Class shares. Like the Sub-adviser, AIM Distributors is a wholly owned
subsidiary of AIM. The address of AIM Distributors is P.O. Box 4739, Houston,
Texas 77210-4739.
 
The Sub-adviser or an affiliate thereof may make ongoing payments to Financial
Advisors and others that facilitate the administration and servicing of Advisor
Class shareholder accounts.
 
The Glass-Steagall Act and other applicable laws, among other things, generally
prohibit federally chartered or supervised banks from engaging in the business
of underwriting or distributing securities. Accordingly, AIM Distributors
intends to engage banks (if at all) only to perform administrative and
shareholder servicing functions. Banks and broker/dealer affiliates of banks
also may execute dealer agreements with AIM Distributors for the purpose of
selling shares of the Funds. If a bank were prohibited from so acting, its
shareholder clients would be permitted to remain shareholders, and alternative
means for continuing the servicing of such shareholders would be sought. It is
not expected that shareholders would suffer any adverse financial consequences
as a result of any of these occurrences.
 
                               Prospectus Page 38
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               OTHER INFORMATION
 
- --------------------------------------------------------------------------------
 
CONFIRMATIONS AND REPORTS TO SHAREHOLDERS. Each time a transaction is made that
affects a shareholder's account in a Fund, the shareholder will receive from the
Transfer Agent a confirmation statement reflecting the transaction.
Confirmations for transactions effected pursuant to a Fund's automatic dividend
reinvestment program may be provided quarterly. Shortly after the end of each
Fund's fiscal year on October 31 and fiscal half-year on April 30 of each year,
shareholders receive an annual and a semiannual report, respectively. In
addition, the federal income status of distributions made by a Fund to
shareholders are reported after the end of the calendar year on Form 1099-DIV.
Under certain circumstances, duplicate mailings of the foregoing reports to the
same household may be consolidated.
 
ORGANIZATION OF THE COMPANY. The Company was organized as a Maryland corporation
on October 27, 1987. Prior to May 29, 1998, the Company operated under the name
G.T. Investment Funds, Inc. From time to time, the Company has established and
may continue to establish other funds, each corresponding to a distinct
investment portfolio and a distinct series of the Company's shares. Shares of
each Fund are entitled to one vote per share (with proportional voting for
fractional shares) and are freely transferable. Shareholders have no preemptive
or conversion rights.
 
On any matter submitted to a vote of shareholders, shares of a Fund will be
voted by a Fund's shareholders individually when the matter affects the specific
interest of that Fund only, such as approval of its investment management
arrangements. In addition, shares of a particular class of a Fund may vote on
matters affecting only that class. The shares of each fund and of the Company's
other funds will be voted in the aggregate on other matters, such as the
election of Directors and ratification of the Board of Directors' selection of
the Company's independent accountants.
 
Normally there will be no annual meeting of shareholders in any year, except as
required under the 1940 Act. The Company would be required to hold a
shareholders' meeting in the event that at any time less than a majority of the
Directors holding office had been elected by shareholders. Directors shall
continue to hold office until their successors are elected and have qualified.
Shares of the Company's funds do not have cumulative voting rights, which means
that the holders of a majority of the shares voting for the election of
Directors can elect all the Directors. A Director may be removed upon a majority
vote of the shareholders qualified to vote in the election. Shareholders holding
10% of the Company's outstanding voting shares may call a meeting of
shareholders for the purpose of voting upon the question of removal of any
Director or for any other purpose. The 1940 Act requires the Company to assist
shareholders in calling such a meeting.
 
Each Fund offers Advisor Class shares through this prospectus to certain
investors. Each Fund also offers Class A shares and Class B shares to investors
through a separate prospectus. Each class of shares will experience different
net asset values and dividends as a result of different expenses borne by each
class of shares. The per share net asset value and dividends of the Advisor
Class shares of a Fund generally will be higher than that of the Class A and B
shares of that Fund because of the higher expenses borne by the Class A and B
shares. Consequently, during comparable periods, the Funds expect that the total
return on an investment in shares of the Advisor Class will be higher than the
total return on Class A or B shares.
 
Pursuant to the Company's Articles of Incorporation, it may issue six billion
shares. Of this number, 300 million shares have been classified as shares of the
Strategic Income Fund and High Income Fund; 100 million shares of each Fund have
been classified as Class A and Class B shares, respectively. In addition, 500
million shares have been classified as shares of Government Income Fund; 200
million shares have been classified as Class A and Class B shares, respectively.
Moreover, one hundred million shares have been classified as Advisor Class
shares for each Fund. These amounts may be increased from time to time in the
discretion of the Board of Directors. Each share of each Fund represents an
interest in that Fund only, has a par value of $0.0001 per share, represents an
equal proportionate interest in that Fund with other shares of that Fund and is
entitled to such dividends and other distributions out of the income earned and
gain realized on the assets belonging to that Fund as may be declared at the
 
                               Prospectus Page 39
<PAGE>
                            AIM GLOBAL INCOME FUNDS
discretion of the Board of Directors. Each Class A, Class B and Advisor Class
share of each Fund is equal in earnings, assets and voting privileges, except as
noted above, and each class bears the expenses, if any, related to the
distribution of its shares. Shares of each Fund, when issued, are fully paid and
nonassessable.
 
Shareholders have been asked to vote on the reorganization of the Company into a
Delaware business trust. If approved by shareholders, it is anticipated that the
reorganization would occur prior to October 1, 1998.
 
ORGANIZATION OF THE PORTFOLIO. The Portfolio is organized as a Delaware business
trust. The Portfolio's Declaration of Trust provides that the High Income Fund
and other entities investing in the Portfolio (E.G., other investment companies,
insurance company separate accounts and common and commingled trust funds), if
any, will each be liable for all obligations of the Portfolio. However, the
Directors of the Company believe that the risk of the High Income Fund incurring
financial loss on account of such liability is limited to circumstances in which
both inadequate insurance existed and the Portfolio itself was unable to meet
its obligations, and that neither the High Income Fund nor its shareholders will
be exposed to a material risk of liability by reason of the High Income Fund's
investing in the Portfolio. Any information received from the Portfolio in the
Portfolio shareholder report will be provided to the High Income Fund's
shareholders.
 
Under Delaware law, the High Income Fund and other entities investing in the
Portfolio enjoy the same limitations of liability extended to shareholders of
private, for-profit corporations. There is a remote possibility, however, that
under certain circumstances an investor in the Portfolio may be held liable for
the Portfolio's obligations. However, the High Income Portfolio's Declaration of
Trust disclaims shareholder liability for acts or obligations of the Portfolio
and requires that notice of such disclaimer be given in each agreement,
obligation or instrument entered into or executed by the Portfolio or a trustee.
The Declaration of Trust also provides for indemnification from the Portfolio
property for all losses and expenses of any shareholder held personally liable
for the Portfolio's obligations. Thus the risk of an investor incurring
financial loss on account of such liability is limited to circumstances in which
the Portfolio itself would be unable to meet its obligations and where the other
party was held not to be bound by the disclaimer.
 
Whenever the High Income Fund is requested to vote on any proposal of the
Portfolio, the High Income Fund will hold a meeting of Fund shareholders and
will cast its vote as instructed by Fund shareholders. Shares for which no
voting instructions are received will be voted in the same proportion as the
shares for which voting instructions are received.
 
SHAREHOLDER INQUIRIES. Shareholder inquiries may be made by calling the Funds
toll free at (800) 223-2138 or by writing to the Funds at 50 California Street,
27th Floor, San Francisco, CA 94111.
 
PERFORMANCE INFORMATION. The Funds, from time to time, may include information
on their investment results and/or comparisons of their investment results to
various unmanaged indices or results of other mutual funds or groups of mutual
funds in advertisements, sales literature or reports furnished to present or
prospective shareholders. Investors should be aware that as of October 22, 1992,
the investment objectives of the Strategic Income Fund were changed from
long-term high capital appreciation, primarily and moderate income, secondarily,
to primarily high current income and secondarily capital appreciation. In
addition, the investment policies and limitations of the Strategic Income Fund
were modified.
 
In such materials, the Funds may quote their average annual total return
("Standardized Return"). Standardized Return is calculated separately for each
class of shares of each Fund. Standardized Return shows percentage rates
reflecting the average annual change in the value of an assumed investment in
the Fund at the end of one-, five- and ten-year periods, reduced by the maximum
applicable sales charge imposed on sales of Fund shares. If a one-, five- and/or
ten-year period has not yet elapsed, data will be provided as of the end of a
shorter period corresponding to the life of a Fund. Standardized Return assumes
reinvestment of all dividends and other distributions.
 
In addition, in order to more completely represent the Funds' performance or
more accurately compare such performance to other measures of investment return,
the Funds also may include in advertisements, sales literature and shareholder
reports other total return performance data ("Non-Standardized Return").
Non-Standardized Return reflects percentage rates of return encompassing all
elements of return (i.e., income and capital appreciation or depreciation); it
assumes reinvestment of all dividends and other distributions. Non-Standardized
Return may be quoted for the same or different periods as those for which
Standardized Return is quoted; it may consist of an aggregate or average annual
percentage rate of return, actual year-by-year rates or any combination
 
                               Prospectus Page 40
<PAGE>
                            AIM GLOBAL INCOME FUNDS
thereof. Non-Standardized Return may or may not take sales charges into account;
performance data calculated without taking the effect of sales charges into
account will be higher than data including the effect of such charges.
 
The Funds also may refer in advertising and promotional materials to their
yield, which will fluctuate over time. A Fund's yield shows the rate of income
that it earns on its investments, expressed as a percentage of the public
offering price of its shares. A Fund calculates yield by determining the
interest income it earned from its portfolio investments for a specified
thirty-day period (net of expenses), dividing such income by the average number
of shares outstanding, and expressing the result as an annualized percentage
based on the public offering price at the end of that thirty-day period. Yield
accounting methods differ from the methods used for other accounting purposes.
Accordingly, a Fund's yield may not equal the dividend income actually paid to
investors or the income reported in its financial statements. Yield is
calculated separately for each class of shares of each Fund.
 
The Funds' performance data reflects past performance and will not necessarily
be indicative of future results. The Funds' investment results will vary from
time to time depending upon market conditions, the composition of their
portfolios and their operating expenses. These factors and possible differences
in calculation methods should be considered when comparing a Fund's investment
results with those published for other investment companies, other investment
vehicles and unmanaged indices. Each Fund's results also should be considered
relative to the risks associated with its investment objectives and policies.
See "Investment Results" in the Statement of Additional Information.
 
Each Fund's annual report contains additional information with respect to its
performance. The annual report is available to investors upon request and free
of charge.
 
YEAR 2000 COMPLIANCE PROJECT. In providing services to the Funds, AIM, AIM
Distributors, the Transfer Agent and the Sub-adviser rely on internal computer
systems as well as external computer systems provided by third parties. Some of
these systems were not originally designed to distinguish between the year 1900
and the year 2000. This inability, if not corrected, could adversely affect the
services AIM, AIM Distributors, the Transfer Agent and the Sub-adviser and
others provide the Funds and their shareholders.
 
To address this important issue, AIM, AIM Distributors, the Transfer Agent and
the Sub-adviser have undertaken a comprehensive Year 2000 Compliance Project
(the "Project"). The Project consists of four phases: (i) inventorying every
software and hardware system in use at AIM, AIM Distributors, the Transfer Agent
and the Sub-adviser, as well as remote, third-party systems on which AIM, AIM
Distributors, the Transfer Agent and the Sub-adviser rely; (ii) identifying
those systems that may not function properly after December 31, 1999; (iii)
correcting or replacing those systems that have been so identified; and (iv)
testing the processing of Fund data in all systems. Phase (i) has been
completed; phase (ii) is substantially completed; phase (iii) has commenced; and
phase (iv) is expected to commence during the third quarter of 1998. The Project
is scheduled to be completed by December 31, 1998. Following completion of the
Project, AIM, AIM Distributors and the Sub-adviser will review any systems
subsequently acquired to confirm that they are year 2000 compliant.
 
TRANSFER AGENT. Shareholder servicing, reporting and general transfer agent
functions for the Funds are performed by GT Global Investor Services, Inc. The
Transfer Agent is an affiliate of the Sub-adviser and AIM, and maintains its
offices at California Plaza, 2121 N. California Boulevard, Suite 450, Walnut
Creek, CA 94596.
 
CUSTODIAN. State Street Bank and Trust Company, 225 Franklin Street, Boston, MA
02110, is custodian of each Fund's and the Portfolio's assets.
 
COUNSEL. The law firm of Kirkpatrick & Lockhart LLP, 1800 Massachusetts Avenue,
N.W., Washington, D.C. 20036-1800, acts as counsel to the Company, the Funds and
the Portfolio. Kirkpatrick & Lockhart LLP also acts as counsel to the Sub-
adviser and the Transfer Agent in connection with other matters.
 
INDEPENDENT ACCOUNTANTS. The Company's and each Fund's and the Portfolio's
independent accountants are Coopers & Lybrand L.L.P., One Post Office Square,
Boston, MA 02109. Coopers & Lybrand L.L.P. conducts an annual audit of each Fund
and the Portfolio, assist in the preparation of each Fund's and the Portfolio's
federal and state income tax returns and consult with the Company, each Fund and
the Portfolio as to matters of accounting, regulatory filings, and federal and
state income taxation.
 
MULTIPLE TRANSLATIONS OF THE PROSPECTUS. This prospectus may be translated into
other languages. In the event of any inconsistency or ambiguity as to the
meaning of any word or phrase contained in a translation, the English text shall
prevail.
 
                               Prospectus Page 41
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                   APPENDIX A
                          DESCRIPTION OF DEBT RATINGS
 
- --------------------------------------------------------------------------------
 
DESCRIPTION OF BOND RATINGS
    MOODY'S INVESTORS SERVICE, INC. ("Moody's") rates the debt securities issued
by various entities from "Aaa" to "C." Investment grade ratings are the first
four categories:
 
        Aaa -- Bonds which are rated Aaa are judged to be of the best quality.
    They carry the smallest degree of investment risk and are generally referred
    to as "gilt edged." Interest payments are protected by a large or by an
    exceptionally stable margin and principal is secure. While the various
    protective elements are likely to change, such changes as can be visualized
    are most unlikely to impair the fundamentally strong position of such
    issues.
 
        Aa -- Bonds which are rated Aa are judged to be of high quality by all
    standards. Together with the Aaa group they comprise what are generally
    known as high grade bonds. They are rated lower than the best bonds because
    margins of protection may not be as large as in Aaa securities or
    fluctuation of protective elements may be of greater amplitude or there may
    be other elements present which make the long-term risk appear somewhat
    larger than the Aaa securities.
 
        A -- Bonds which are rated A possess many favorable investment
    attributes and are to be considered as upper-medium-grade obligations.
    Factors giving security to principal and interest are considered adequate,
    but elements may be present which suggest a susceptibility to impairment
    some time in the future.
 
        Baa -- Bonds which are rated Baa are considered as medium-grade
    obligations, (i.e., they are neither highly protected nor poorly secured).
    Interest payments and principal security appear adequate for the present but
    certain protective elements may be lacking or may be characteristically
    unreliable over any great length of time. Such bonds lack outstanding
    investment characteristics and in fact have speculative characteristics as
    well.
 
        Ba -- Bonds which are rated Ba are judged to have speculative elements;
    their future cannot be considered as well-assured. Often the protection of
    interest and principal payments may be very moderate, and thereby not well
    safeguarded during both good and bad times over the future. Uncertainty of
    position characterizes bonds in this class.
 
        B -- Bonds which are rated B generally lack characteristics of the
    desirable investment. Assurance of interest and principal payments or of
    maintenance of other terms of the contract over any long period of time may
    be small.
 
        Caa -- Bonds which are rated Caa are of poor standing. Such issues may
    be in default or there may be present elements of danger with respect to
    principal or interest.
 
        Ca -- Bonds which are rated Ca represent obligations which are
    speculative in a high degree. Such issues are often in default or have other
    marked shortcomings.
 
        C -- Bonds which are rated C are the lowest rated class of bonds, and
    issues so rated can be regarded as having extremely poor prospects of ever
    attaining any real investment standing.
 
ABSENCE OF RATING: Where no rating has been assigned or where a rating has been
suspended or withdrawn, it may be for reasons unrelated to the quality of the
issue.
 
Should no rating be assigned, the reason may be one of the following:
 
    1.  An application for rating was not received or accepted.
 
    2.  The issue or issuer belongs to a group of securities or companies that
are not rated as a matter of policy.
 
    3.  There is a lack of essential data pertaining to the issue or issuer.
 
    4.  The issue was privately placed, in which case the rating is not
published in Moody's publications.
 
                               Prospectus Page 42
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
Suspension or withdrawal may occur if new and material circumstances arise, the
effects of which preclude satisfactory analysis; if there is no longer available
reasonable up-to-date data to permit a judgment to be formed; if a bond is
called for redemption; or for other reasons.
 
Note: Moody's applies numerical modifiers, 1, 2 and 3 in each generic rating
classification from Aa to Caa. The modifier 1 indicates that the Company ranks
in the higher end of its generic rating category; the modifier 2 indicates a
mid-range ranking; and the modifier 3 indicates that the Company ranks in the
lower end of its generic rating category.
 
    STANDARD & POOR'S, a division of The McGraw-Hill Companies, Inc. ("S&P"),
rates the securities debt of various entities in categories ranging from "AAA"
to "D" according to quality. Investment grade ratings are the first four
categories:
 
        AAA -- An obligation rated "AAA" has the highest rating assigned by S&P.
    The obligor's capacity to meet its financial commitment on the obligation is
    extremely strong.
 
        AA -- An obligation rated "AA" differs from the highest rated
    obligations only in a small degree. The obligor's capacity to meet its
    financial commitment on the obligation is very strong.
 
        A -- An obligation rated "A" is somewhat more susceptible to the adverse
    effects of changes in circumstances and economic conditions than obligations
    in higher rated categories.
 
        BBB -- An obligation rated "BBB" exhibits adequate protection
    parameters. However, adverse economic conditions or changing circumstances
    are more likely to lead to a weakened capacity of the obligor to meet its
    financial commitment on the obligation.
 
        BB, B, CCC, CC, C -- Obligations rated "BB," "B," "CCC," "CC," and "C"
    are regarded as having significant speculative characteristics. "BB"
    indicates the least degree of speculation and "C" the highest. While such
    obligations will likely have some quality and protective characteristics,
    these may be outweighed by large uncertainties or major exposures to adverse
    conditions.
 
        BB -- An obligation rated "BB" is less vulnerable to nonpayment than
    other speculative issues. However, it faces major ongoing uncertainties or
    exposure to adverse business, financial, or economic conditions which could
    lead to the obligor's inadequate capacity to meet its financial commitment
    on the obligation.
 
        B -- An obligation rated "B" is more vulnerable to nonpayment than
    obligations rated "BB," but the obligor currently has the capacity to meet
    its financial commitment on the obligation. Adverse business, financial, or
    economic conditions will likely impair the obligor's capacity or willingness
    to meet its financial commitment on the obligation.
 
        CCC -- An obligation rated "CCC" is currently vulnerable to nonpayment,
    and is dependent upon favorable business, financial, and economic conditions
    for the obligor to meet its financial commitment on the obligation. In the
    event of adverse business, financial, or economic conditions, the obligor is
    not likely to have the capacity to meet its financial commitment on the
    obligation.
 
        CC -- An obligation rated "CC" is currently highly vulnerable to
    nonpayment.
 
        C -- The "C" rating may be used to cover a situation where a bankruptcy
    petition has been filed or similar action has been taken, but payments on
    this obligation are being continued.
 
        D -- An obligation rated "D" is in payment default. The "D" rating
    category is used when payments on an obligation are not made on the date due
    even if the applicable grace period has not expired, unless S&P believes
    that such payments will be made during such grace period. The "D" rating
    also will be used upon the filing of a bankruptcy petition or the taking of
    a similar action if payments on an obligation are jeopardized.
 
PLUS (+) OR MINUS (-): The ratings from "AA" to "CCC" may be modified by the
addition of a plus or minus sign to show relative standing within the major
rating categories.
 
NR: Indicates that no public rating has been requested, that there is
insufficient information on which to base a rating, or that S&P does not rate a
particular type of obligation as a matter of policy.
 
                               Prospectus Page 43
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
DESCRIPTION OF COMMERCIAL PAPER RATINGS
 
    MOODY'S employs the designation "Prime-1" to indicate commercial paper
having a superior ability for repayment of senior short-term debt obligations.
Prime-1 repayment ability will often be evidenced by many of the following
characteristics: leading market positions in well-established industries; high
rates of return on funds employed; conservative capitalization structure with
moderate reliance on debt and ample asset protection; broad margins in earnings
coverage of fixed financial charges and high internal cash generation; and
well-established access to a range of financial markets and assured sources of
alternate liquidity. Issues rated Prime-2 have a strong ability for repayment of
senior short-term debt obligations. This normally will be evidenced by many of
the characteristics cited above but to a lesser degree. Earnings trends and
coverage ratios, while sound, may be more subject to variation. Capitalization
characteristics, while still appropriate, may be more affected by external
conditions. Ample alternate liquidity is maintained.
 
    S&P ratings of commercial paper are graded into several categories ranging
from "A1" for the highest quality obligations to "D" for the lowest. Issues in
the "A" category are delineated with numbers 1, 2, and 3 to indicate the
relative degree of safety. A-1 -- This highest category indicates that the
degree of safety regarding timely payment is strong. Those issues determined to
possess extremely strong safety characteristics will be denoted with a plus sign
(+) designation. A-2 -- Capacity for timely payments on issues with this
designation is satisfactory; however, the relative degree of safety is not as
high as for issues designated "A-1."
 
                               Prospectus Page 44
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                  AIM/GT FUNDS
 
  AIM DISTRIBUTORS OFFERS A BROAD RANGE OF FUNDS TO COMPLEMENT MANY INVESTORS'
  PORTFOLIOS. FOR MORE INFORMATION AND A PROSPECTUS ON ANY OF THE FUNDS LISTED
  BELOW, INCLUDING FEES, EXPENSES AND THE RISKS OF GLOBAL AND EMERGING MARKET
  INVESTING AND THE RISKS OF INVESTING IN RELATED INDUSTRIES, PLEASE CONTACT
  YOUR FINANCIAL ADVISER OR CALL 1-800-824-1580.
 
GROWTH FUNDS
 
/ / GLOBALLY DIVERSIFIED FUNDS
 
AIM NEW DIMENSION FUND
Captures global growth opportunities by investing directly in the six global
theme funds
 
AIM WORLDWIDE GROWTH FUND
Invests around the world, including the U.S.
 
AIM INTERNATIONAL GROWTH FUND
Provides portfolio diversity by investing outside
the U.S.
 
AIM EMERGING MARKETS FUND
Gives access to the growth potential of developing economies
 
AIM DEVELOPING MARKETS FUND
Invests in debt and equity securities of developing market issuers
 
/ / GLOBAL THEME FUNDS
 
AIM GLOBAL CONSUMER PRODUCTS AND
SERVICES FUND
Invests in companies that manufacture, market, retail, or distribute consumer
products or services
 
AIM GLOBAL FINANCIAL SERVICES FUND
Focuses on the worldwide opportunities from the demand for financial services
and products
 
AIM GLOBAL HEALTH CARE FUND
Invests in growing health care industries worldwide
 
AIM GLOBAL INFRASTRUCTURE FUND
Seeks companies that build, improve or maintain a country's infrastructure
 
AIM GLOBAL RESOURCES FUND
Concentrates on companies that own, explore or develop natural resources
 
AIM GLOBAL TELECOMMUNICATIONS FUND
Invests in companies worldwide that develop, manufacture or sell
telecommunications services or equipment
 
/ / REGIONALLY DIVERSIFIED FUNDS
 
AIM NEW PACIFIC GROWTH FUND
Offers access to the emerging and established markets of the Pacific Rim,
excluding Japan
 
AIM EUROPE GROWTH FUND
Focuses on investment opportunities in Europe
 
AIM LATIN AMERICAN GROWTH FUND
Invests in the emerging markets of Latin America
 
/ / SINGLE COUNTRY FUNDS
 
AIM SMALL CAP EQUITY FUND
Invests in equity securities of small U.S. companies
 
AIM MID CAP GROWTH FUND
Concentrates on medium-sized companies in the U.S.
 
AIM AMERICA VALUE FUND
Concentrates on equity securities of large cap U.S. companies believed to be
undervalued
 
AIM JAPAN GROWTH FUND
Provides U.S. investors with direct access to the Japanese market
 
GROWTH AND INCOME FUND
 
AIM GLOBAL GROWTH & INCOME FUND
Invests in blue-chip stocks and government bonds from around the world
 
INCOME FUNDS
 
AIM GLOBAL GOVERNMENT INCOME FUND
Earns monthly income from global government securities
 
AIM STRATEGIC INCOME FUND
Allocates its assets among debt securities from the U.S., developed foreign
countries and emerging markets
 
AIM GLOBAL HIGH INCOME FUND
Invests in debt securities in emerging markets
 
AIM FLOATING RATE FUND
Invests primarily in senior secured floating rate loans that have the potential
to achieve a high level of current income
 
MONEY MARKET FUND
 
AIM DOLLAR FUND
Invests in high quality, U.S. dollar-denominated money market securities
worldwide for stability and preservation of capital
 
                                     [LOGO]
 
  NO DEALER, SALES REPRESENTATIVE OR OTHER PERSON HAS BEEN AUTHORIZED TO GIVE
  ANY INFORMATION OR TO MAKE ANY REPRESENTATION NOT CONTAINED IN THIS
  PROSPECTUS AND, IF GIVEN OR MADE, SUCH INFORMATION OR REPRESENTATION MUST
  NOT BE RELIED UPON AS HAVING BEEN AUTHORIZED BY A I M ADVISORS, INC.,
  INVESCO (NY), INC., AIM INVESTMENT FUNDS, INC., AIM GLOBAL GOVERNMENT INCOME
  FUND, AIM STRATEGIC INCOME FUND, AIM GLOBAL HIGH INCOME FUND, GLOBAL HIGH
  INCOME PORTFOLIO, OR A I M DISTRIBUTORS, INC. THIS PROSPECTUS DOES NOT
  CONSTITUTE AN OFFER TO SELL OR SOLICITATION OF ANY OFFER TO BUY ANY OF THE
  SECURITIES OFFERED HEREBY IN ANY JURISDICTION TO ANY PERSON TO WHOM IT IS
  UNLAWFUL TO MAKE SUCH OFFER IN SUCH JURISDICTION.
 
                                                                       GIN-PRO-2
<PAGE>
                            AIM GLOBAL INCOME FUNDS:
                                 ADVISOR CLASS
 
                        50 California Street, 27th Floor
                            San Francisco, CA 94111
                                 (415) 392-6181
                           Toll Free: (800) 824-1580
                      Statement of Additional Information
                                  June 1, 1998
 
- --------------------------------------------------------------------------------
 
This  Statement of Additional Information relates to the Advisor Class shares of
the AIM Global Government Income Fund ("Government Income Fund"), AIM  Strategic
Income  Fund ("Strategic  Income Fund") and  AIM Global High  Income Fund ("High
Income Fund")  (each, a  "Fund," and,  collectively, "Funds").  Each Fund  is  a
non-diversified  series  of  AIM  Investment  Funds,  Inc.  (the  "Company"),  a
registered open-end management investment company. This Statement of  Additional
Information,  which  is not  a  Prospectus, supplements  and  should be  read in
conjunction with the Funds' current Advisor Class Prospectus dated June 1, 1998,
a copy of which is available without  charge by writing to the above address  or
by calling the Funds at the toll-free telephone number listed above.
 
A  I  M  Advisors,  Inc.  ("AIM")  serves  as  the  investment  manager  of  and
administrator for,  and INVESCO  (NY), Inc.  (the "Sub-adviser")  serves as  the
sub-adviser  and sub-administrator for the Government Income Fund, the Strategic
Income Fund and the Global High Income Portfolio (the "Portfolio"). AIM and  the
Sub-adviser also serve as the administrator and sub-administrator, respectively,
of  the High Income Fund.  The distributor of the  shares of each Fund  is A I M
Distributors, Inc. ("AIM Distributors"). The Funds' transfer agent is GT  Global
Investor Services, Inc. ("GT Services" or the "Transfer Agent").
 
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                               TABLE OF CONTENTS
 
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<TABLE>
<CAPTION>
                                                                                                                           Page No.
                                                                                                                           --------
<S>                                                                                                                        <C>
Investment Objectives and Policies.......................................................................................      2
Options, Futures and Currency Strategies.................................................................................      6
Risk Factors.............................................................................................................     15
Investment Limitations...................................................................................................     20
Execution of Portfolio Transactions......................................................................................     24
Directors and Executive Officers.........................................................................................     26
Management...............................................................................................................     29
Valuation of Fund Shares.................................................................................................     31
Information Relating to Sales and Redemptions............................................................................     32
Taxes....................................................................................................................     34
Additional Information...................................................................................................     37
Investment Results.......................................................................................................     38
Description of Debt Ratings..............................................................................................     43
Financial Statements.....................................................................................................     45
</TABLE>
 
[LOGO]
 
                   Statement of Additional Information Page 1
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                       INVESTMENT OBJECTIVES AND POLICIES
 
- --------------------------------------------------------------------------------
 
INVESTMENT OBJECTIVES
The  Government Income Fund primarily seeks  high current income and secondarily
seeks capital appreciation and protection of principal through active management
of the maturity structure and currency exposure of its portfolio. The  Strategic
Income  Fund and  the High  Income Fund primarily  seek high  current income and
secondarily seek capital appreciation. The High Income Fund seeks to achieve its
investment  objectives  by  investing  all  of  its  investable  assets  in  the
Portfolio,  which is  a non-diversified  open-end management  investment company
with investment objectives identical to those  of the Fund. Whenever the  phrase
"all  of the Fund's investable assets" is  used herein and in the Prospectus, it
means that the only investment securities held  by the High Income Fund will  be
its  interest in the Portfolio. The High Income Fund may withdraw its investment
in the  Portfolio  at  any time,  if  the  Board of  Directors  of  the  Company
determines  that it is in the best interests of the Fund and its shareholders to
do so. Upon any such withdrawal, the High Income Fund's assets would be invested
in accordance with the investment policies of the Portfolio described below  and
in the Prospectus.
 
INVESTMENT IN EMERGING MARKETS
The  Portfolio seeks its objectives by investing, under normal circumstances, at
least 65% of its total assets in debt securities of issuers in emerging markets.
The Strategic Income Fund may invest up to 50% of its assets in debt  securities
of  issuers in emerging markets. The Strategic  Income Fund and the Portfolio do
not consider the following countries to be emerging markets: Australia, Austria,
Belgium,  Canada,  Denmark,   France,  Germany,  Ireland,   Italy,  Japan,   the
Netherlands,  New Zealand,  Norway, Spain, Sweden,  Switzerland, United Kingdom,
and United States.
 
In addition to  the factors set  forth in the  Prospectus, the Sub-adviser  will
also  consider,  when determining  what  countries constitute  emerging markets,
data, analysis, and classification of countries published or disseminated by the
International Bank for  Reconstruction and  Development (commonly  known as  the
World Bank) and the International Finance Corporation.
 
SELECTION OF DEBT INVESTMENTS
In  determining  the  appropriate  distribution  of  investments  among  various
countries and geographic regions for  the Government Income Fund, the  Strategic
Income  Fund  and  the  Portfolio,  the  Sub-adviser  ordinarily  considers  the
following factors: prospects  for relative economic  growth among the  different
countries in which the Government Income Fund, the Strategic Income Fund and the
Portfolio   may  invest;  expected  levels  of  inflation;  government  policies
influencing business conditions; the outlook for currency relationships; and the
range of  the individual  investment  opportunities available  to  international
investors.
 
The  Government Income  Fund, the  Strategic Income  Fund and  the Portfolio may
invest  in  the  following  types  of  money  market  instruments  (i.e.,   debt
instruments  with less than  12 months remaining  until maturity) denominated in
U.S. dollars or other  currencies: (a) obligations issued  or guaranteed by  the
U.S.    or   foreign   governments,   their   agencies,   instrumentalities   or
municipalities; (b)  obligations  of  international  organizations  designed  or
supported   by  multiple  foreign  governmental  entities  to  promote  economic
reconstruction  or  development;  (c)  finance  company  obligations,  corporate
commercial   paper  and  other  short-term   commercial  obligations;  (d)  bank
obligations (including certificates of  deposit, time deposits, demand  deposits
and bankers' acceptances), subject to the restriction that the Government Income
Fund,  the Strategic Income Fund and the  Portfolio may not invest more than 25%
of their respective total assets  in bank securities; (e) repurchase  agreements
with  respect to the  foregoing; and (f)  other substantially similar short-term
debt securities with comparable characteristics.
 
INVESTMENTS IN OTHER INVESTMENT COMPANIES
With respect to certain  countries, investments by  the Government Income  Fund,
the  Strategic  Income Fund  and the  Portfolio  presently may  be made  only by
acquiring shares of other investment companies (including investment vehicles or
companies advised by  the Sub-adviser  or its  affiliates ("Affiliated  Funds"))
with  local governmental approval to invest in  those countries. At such time as
direct investment in these countries is allowed, the Government Income Fund, the
Strategic Income Fund and the  Portfolio anticipate investing directly in  these
markets. The Government Income Fund, the
 
                   Statement of Additional Information Page 2
<PAGE>
                            AIM GLOBAL INCOME FUNDS
Strategic  Income Fund and  the Portfolio may  also invest in  the securities of
closed-end investment companies within the limits of the Investment Company  Act
of  1940, as amended ("1940 Act").  These limitations currently provide that, in
part, a Fund or the Portfolio may purchase shares of another investment  company
unless (a) such a purchase would cause the Government Income Fund, the Strategic
Income  Fund or the Portfolio to own in  the aggregate more than 3% of the total
outstanding voting securities of the investment  company or (b) such a  purchase
would  cause  the  Government Income  Fund,  the  Strategic Income  Fund  or the
Portfolio to have more than  5% of its total  assets invested in the  investment
company or more than 10% of its aggregate assets invested in an aggregate of all
such  investment  companies.  The  foregoing limitations  do  not  apply  to the
investment by the High  Income Fund in the  Portfolio. Investment in  investment
companies  may involve  the payment of  substantial premiums above  the value of
such companies' portfolio securities. The Government Income Fund, the  Strategic
Income  Fund  and the  Portfolio  do not  intend  to invest  in  such investment
companies unless, in the judgment of the Sub-adviser, the potential benefits  of
such  investments justify the payment of  any applicable premiums. The return on
such securities  will  be  reduced  by  operating  expenses  of  such  companies
including  payments to  the investment  managers of  those investment companies.
With respect  to investments  in Affiliated  Funds, the  Sub-adviser waives  its
advisory fee to the extent that such fees are based on assets of a Fund invested
in Affiliated Funds.
 
SAMURAI AND YANKEE BONDS
The  Government Income  Fund, the  Strategic Income  Fund and  the Portfolio may
invest in yen-denominated bonds sold in Japan by non-Japanese issuers  ("Samurai
bonds"), and may invest in dollar-denominated bonds sold in the United States by
non-U.S.  issuers ("Yankee  bonds"). It is  the policy of  the Government Income
Fund, the Strategic Income Fund and the Portfolio to invest in Samurai or Yankee
bond issues  only  after  taking  into account  considerations  of  quality  and
liquidity, as well as yield.
 
WARRANTS OR RIGHTS
Warrants  or rights may be acquired by the Government Income Fund, the Strategic
Income Fund or the Portfolio in  connection with other securities or  separately
and  provide a Fund or the Portfolio with  the right to purchase at a later date
other securities of the issuer.
 
LENDING OF PORTFOLIO SECURITIES
For the purpose of realizing additional income, the Government Income Fund,  the
Strategic  Income  Fund or  the Portfolio  may make  secured loans  of portfolio
securities amounting to not more than 30% of its total assets. Securities  loans
are  made to  broker/dealers or  institutional investors  pursuant to agreements
requiring that the loans continuously be secured by collateral at least equal at
all times to the value of the securities lent plus any accrued interest, "marked
to market" on  a daily basis.  The Funds  and the Portfolio  may pay  reasonable
administrative  and custodial fees  in connection with  loans of its securities.
While the  securities  loan is  outstanding,  the Government  Income  Fund,  the
Strategic  Income Fund and the Portfolio will continue to receive the equivalent
of the interest or dividends  paid by the issuer on  the securities, as well  as
interest  on the investment  of the collateral  or a fee  from the borrower. The
Government Income Fund, the  Strategic Income Fund and  the Portfolio each  will
have  a right  to call  each loan  and obtain  the securities  within the stated
settlement period. The Government Income Fund, the Strategic Income Fund and the
Portfolio will not have the right to vote equity securities while they are lent,
but each may call in a loan in anticipation of any important vote. Loans will be
made only to firms deemed by the Sub-adviser to be of good standing and will not
be made unless,  in the  judgment of the  Sub-adviser, the  consideration to  be
earned from such loans would justify the risk.
 
COMMERCIAL BANK OBLIGATIONS
For  the purposes of the Strategic  Income Fund's and the Portfolio's investment
policies with respect to  bank obligations, obligations  of foreign branches  of
U.S.  banks and of foreign banks are obligations  of the issuing bank and may be
general obligations  of  the parent  bank.  Such obligations,  however,  may  be
limited  by the terms of a specific  obligation and by government regulation. As
with  investment  in  non-U.S.  securities   in  general,  investments  in   the
obligations  of foreign branches of U.S. banks  and of foreign banks may subject
the the Strategic  Income Fund and  the Portfolio to  investment risks that  are
different  in some respects from those of investments in obligations of domestic
issuers. Although the  Strategic Income  Fund and the  Portfolio typically  will
acquire  obligations issued and supported by the credit of U.S. or foreign banks
having total assets at  the time of  purchase in excess of  $1 billion, this  $1
billion  figure is not an investment policy or restriction of either Fund or the
Portfolio. For  the purposes  of  calculation with  respect  to the  $1  billion
figure,  the assets of a bank  will be deemed to include  the assets of its U.S.
and non-U.S. branches.
 
REPURCHASE AGREEMENTS
A repurchase agreement is a  transaction in which the  Fund or Portfolio buys  a
security  from a bank or recognized securities dealer and simultaneously commits
to resell that security to the bank or dealer at an agreed upon price, date  and
market  rate  of  interest unrelated  to  the  coupon rate  or  maturity  of the
purchased security. Although repurchase agreements carry
 
                   Statement of Additional Information Page 3
<PAGE>
                            AIM GLOBAL INCOME FUNDS
certain risks not  associated with direct  investments in securities,  including
possible decline in the market value of the underlying securities and delays and
costs  to the Funds or Portfolio if  the other party to the repurchase agreement
becomes bankrupt, the Government Income Fund, the Strategic Income Fund and  the
Portfolio  intend  to  enter  into repurchase  agreements  only  with  banks and
broker/dealers believed by the  Sub-adviser to present  minimal credit risks  in
accordance  with guidelines  approved by the  Company's Board  of Directors. The
Sub-adviser reviews and monitors the creditworthiness of such institutions under
the Board's general supervision.
 
The Government Income  Fund, the Strategic  Income Fund and  the Portfolio  will
invest only in repurchase agreements collateralized at all times in an amount at
least  equal to the repurchase  price plus accrued interest.  To the extent that
the proceeds from any sale of such  collateral upon a default in the  obligation
to  repurchase were less than the  repurchase price, the Government Income Fund,
the Strategic Income Fund or the Portfolio would suffer a loss. If the financial
institution which is party to the repurchase agreement petitions for  bankruptcy
or  otherwise  becomes subject  to bankruptcy  or other  liquidation proceedings
there may be restrictions  on the Government Income  Fund, the Strategic  Income
Fund's  or the  Portfolio's ability  to sell  the collateral  and the Government
Income Fund, the  Strategic Income Fund  or the Portfolio  could suffer a  loss.
However,  with respect to financial institutions whose bankruptcy or liquidation
proceedings are subject to the U.S. Bankruptcy Code, the Government Income Fund,
the Strategic Income  Fund and the  Portfolio intend to  comply with  provisions
under  such Code that would  allow the immediate resale  of such collateral. The
Government Income  Fund  will not  enter  into  a repurchase  agreement  with  a
maturity  of more than seven days if, as a result, more than 10% of the value of
its total  assets would  be invested  in such  repurchase agreements  and  other
illiquid  investments  and  securities  for which  no  readily  available market
exists.
 
BORROWING, REVERSE REPURCHASE AGREEMENTS AND "ROLL" TRANSACTIONS
The Government Income Fund's borrowings will not exceed 30% of the Fund's  total
assets,  i.e., the Fund's total assets at all  times will equal at least 300% of
the amount of outstanding borrowings. If market fluctuations in the value of the
Fund's portfolio holdings or other factors  cause the ratio of the Fund's  total
assets  to  outstanding  borrowings  to  fall  below  300%,  within  three  days
(excluding Sundays and holidays) of such event the Fund may be required to  sell
portfolio  securities to  restore the 300%  asset coverage, even  though from an
investment standpoint such sales might be disadvantageous. The Strategic  Income
Fund's  and the Portfolio's borrowings will not  exceed 33 1/3% of the Strategic
Income Fund's or the Portfolio's, respective total assets. The Government Income
Fund, the Strategic Income Fund  and the Portfolio each may  borrow up to 5%  of
its  respective total assets  for temporary or emergency  purposes other than to
meet redemptions. Any  borrowing by a  Fund or the  Portfolio may cause  greater
fluctuation in the value of its shares than would be the case if the Fund or the
Portfolio did not borrow.
 
The  Government Income Fund's,  the Strategic Income  Fund's and the Portfolio's
fundamental investment  limitations permit  it to  borrow money  for  leveraging
purposes. The Government Income Fund, however, currently is prohibited, pursuant
to  a  non-fundamental  investment  policy, from  borrowing  money  in  order to
purchase securities. Nevertheless, this policy may be changed in the future by a
vote of a  majority of the  Company's Board of  Directors. The Strategic  Income
Fund  and Portfolio may borrow for  leveraging purposes. If the Strategic Income
Fund or  the  Portfolio  employs  leverage,  it  would  be  subject  to  certain
additional  risks. Use of leverage creates  an opportunity for greater growth of
capital but would  exaggerate any increases  or decreases in  the Fund's or  the
Portfolio's  net asset value. When the  income and gains on securities purchased
with the  proceeds  of borrowings  exceed  the  costs of  such  borrowings,  the
Government  Income  Fund's,  the  Strategic  Income  Fund's  or  the Portfolio's
earnings or net  asset value will  increase faster than  otherwise would be  the
case; conversely, if such income and gains fail to exceed such costs, the Fund's
or  the Portfolio's earnings or net asset  value would decline faster than would
otherwise be the case.
 
The Government Income  Fund, the  Strategic Income  Fund and  the Portfolio  may
enter  into reverse repurchase  agreements. A reverse  repurchase agreement is a
borrowing transaction in which a Fund or the Portfolio transfers possession of a
security to another party, such as a bank or broker/dealer, in return for  cash,
and  agrees to repurchase  the security in  the future at  an agreed upon price,
which includes an interest component. The Government Income Fund, the  Strategic
Income  Fund and the Portfolio also  may engage in "roll" borrowing transactions
which involve a Fund's or the  Portfolio's sale of Government National  Mortgage
Association  certificates or  other securities  together with  a commitment (for
which a Fund or the  Portfolio may receive a fee)  to purchase similar, but  not
identical,  securities  at  a  future  date.  The  Government  Income  Fund, the
Strategic Income Fund and the Portfolio will segregate with a custodian, cash or
liquid securities in an amount sufficient to cover its obligations under  "roll"
transactions   and  reverse  repurchase  agreements  with  broker/  dealers.  No
segregation is required for reverse repurchase agreements with banks.
 
                   Statement of Additional Information Page 4
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
SHORT SALES
The Government Income Fund, the Strategic Income Fund and the Portfolio may make
short sales of securities, although they have no current intention of doing  so.
A  short sale is a transaction in which a Fund or the Portfolio sells a security
in anticipation  that  the market  price  of  that security  will  decline.  The
Government  Income Fund,  the Strategic Income  Fund and the  Portfolio may make
short sales as a form of hedging to offset potential declines in long  positions
in  securities  it owns,  or  anticipates acquiring,  and  in order  to maintain
portfolio flexibility. The Government Income Fund, the Strategic Income Fund and
the Portfolio only may make short sales "against the box." In this type of short
sale, at the time of  the sale, the Fund or  the Portfolio owns the security  it
has  sold short  or has  the immediate  and unconditional  right to  acquire the
identical security at no additional cost.
 
In a short sale, the seller does not immediately deliver the securities sold and
does not receive the proceeds from the sale. To make delivery to the  purchaser,
the  executing broker borrows the  securities being sold short  on behalf of the
seller. The seller is said to have a short position in the securities sold until
it delivers the securities sold, at which  time it receives the proceeds of  the
sale.  To secure its obligation to deliver securities sold short, the Government
Income Fund,  the Strategic  Income Fund  or  the Portfolio  will deposit  in  a
separate account with its custodian an equal amount of the securities sold short
or  securities convertible into or exchangeable  for such securities at no cost.
The Government Income  Fund, the Strategic  Income Fund or  the Portfolio  could
close  out a short position by purchasing  and delivering an equal amount of the
securities sold short, rather than by delivering securities already held by  the
Fund  or the Portfolio, because the Fund or the Portfolio might want to continue
to receive interest and  dividend payments on securities  in its portfolio  that
are convertible into the securities sold short.
 
The  Government Income Fund,  the Strategic Income Fund  and the Portfolio might
make a short sale "against the box" in order to hedge against market risks  when
the  Sub-adviser believes that  the price of  a security may  decline, causing a
decline in the  value of a  security owned  by the Government  Income Fund,  the
Strategic  Income  Fund  or the  Portfolio  or  a security  convertible  into or
exchangeable for  such  security.  In  such  case,  any  future  losses  in  the
Government  Income Fund's, the  Strategic Income Fund's  Fund or the Portfolio's
long position should be reduced by a gain in the short position. Conversely, any
gain in the long position should be reduced by a loss in the short position. The
extent to which  such gains  or losses  in the  long position  are reduced  will
depend  upon the amount of  the securities sold short  relative to the amount of
the securities the Fund  or the Portfolio owns,  either directly or  indirectly,
and,  in the  case where  a Fund or  the Portfolio  owns convertible securities,
changes in  the investment  values or  conversion premiums  of such  securities.
There  will be certain additional transaction  costs associated with short sales
"against the box," but  a Fund or  the Portfolio will  endeavor to offset  these
costs with income from the investment of the cash proceeds of short sales.
 
                   Statement of Additional Information Page 5
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                    OPTIONS, FUTURES AND CURRENCY STRATEGIES
 
- --------------------------------------------------------------------------------
 
SPECIAL RISKS OF OPTIONS, FUTURES AND CURRENCY STRATEGIES
The  use of options, futures contracts  and forward currency contracts ("Forward
Contracts") involves special considerations and risks, as described below. Risks
pertaining to particular instruments are described in the sections that follow.
 
        (1) Successful  use  of  most  of these  instruments  depends  upon  the
    Sub-adviser's  ability to  predict movements  of the  overall securities and
    currency markets, which requires different skills than predicting changes in
    the prices of individual securities. While the Sub-adviser is experienced in
    the use of these instruments, there can be no assurance that any  particular
    strategy adopted will succeed.
 
        (2)  There  might  be  imperfect correlation,  or  even  no correlation,
    between price  movements  of  an  instrument  and  price  movements  of  the
    investments being hedged. For example, if the value of an instrument used in
    a  short hedge  increased by less  than the  decline in value  of the hedged
    investment, the  hedge  would  not  be fully  successful.  Such  a  lack  of
    correlation  might  occur  due to  factors  unrelated  to the  value  of the
    investments being  hedged, such  as speculative  or other  pressures on  the
    markets  in which  the hedging  instrument is  traded. The  effectiveness of
    hedges using hedging  instruments on indices  will depend on  the degree  of
    correlation  between price movements in the index and price movements in the
    investments being hedged.
 
        (3) Hedging strategies, if successful, can reduce risk of loss by wholly
    or partially offsetting the negative  effect of unfavorable price  movements
    in the investments being hedged. However, hedging strategies can also reduce
    opportunity  for gain by  offsetting the positive  effect of favorable price
    movements in the hedged investments. For example, if a Fund or the Portfolio
    entered into a short  hedge because the Sub-adviser  projected a decline  in
    the  price of a security in the Fund's or the Portfolio's portfolio, and the
    price of that security increased instead, the gain from that increase  might
    be  wholly or  partially offset  by a  decline in  the price  of the hedging
    instrument. Moreover, if  the price  of the hedging  instrument declined  by
    more  than  the increase  in  the price  of the  security,  the Fund  or the
    Portfolio could  suffer  a  loss. In  either  such  case, the  Fund  or  the
    Portfolio would have been in a better position had it not hedged at all.
 
        (4)  As described below,  a Fund or  the Portfolio might  be required to
    maintain assets  as "cover,"  maintain segregated  accounts or  make  margin
    payments  when it  takes positions  in instruments  involving obligations to
    third parties (I.E., instruments other than purchased options). If a Fund or
    the Portfolio were unable to close out its positions in such instruments, it
    might be required to  continue to maintain such  assets or accounts or  make
    such  payments until the position expired or matured. The requirements might
    impair the Fund's  ability or the  Portfolio's ability to  sell a  portfolio
    security  or  make  an investment  at  a  time when  it  would  otherwise be
    favorable to  do so,  or  require that  the Fund  or  the Portfolio  sell  a
    portfolio  security at a disadvantageous time. The Fund's or the Portfolio's
    ability to close  out a  position in an  instrument prior  to expiration  or
    maturity  depends on the existence  of a liquid secondary  market or, in the
    absence of such a market, the ability and willingness of the other party  to
    the transaction ("contra party") to enter into a transaction closing out the
    position.  Therefore, there is no assurance  that any position can be closed
    out at a time and price that is favorable to the Fund or the Portfolio.
 
WRITING CALL OPTIONS
The Government Income  Fund, the  Strategic Income  Fund and  the Portfolio  may
write  (sell) call options  on securities, indices  and currencies. Call options
generally will be written on securities  and currencies that, in the opinion  of
the  Sub-adviser are  not expected  to make  any major  price moves  in the near
future but that, over the long term, are deemed to be attractive investments for
the Government Income Fund, the Strategic Income Fund and the Portfolio.
 
A call option  gives the  holder (buyer)  the right  to purchase  a security  or
currency  at a specified price (the exercise  price) at any time until (American
style) or on (European style) a certain  date (the expiration date). So long  as
the  obligation of the writer of a call  option continues, he may be assigned an
exercise notice, requiring him  to deliver the  underlying security or  currency
against  payment  of the  exercise price.  This  obligation terminates  upon the
expiration of the call option, or such
 
                   Statement of Additional Information Page 6
<PAGE>
                            AIM GLOBAL INCOME FUNDS
earlier time  at which  the writer  effects a  closing purchase  transaction  by
purchasing an option identical to that previously sold.
 
Portfolio  securities or currencies on which call options may be written will be
purchased solely on  the basis  of investment considerations  consistent with  a
Fund's or the Portfolio's investment objectives. When writing a call option, the
Government  Income Fund, the  Strategic Income Fund or  the Portfolio, in return
for the premium, gives up  the opportunity for profit  from a price increase  in
the  underlying security or  currency above the exercise  price, and retains the
risk of loss should the  price of the security  or currency decline. Unlike  one
who  owns  securities or  currencies not  subject to  an option,  a Fund  or the
Portfolio has no control  over when it  may be required  to sell the  underlying
securities  or currencies, since most options may be exercised at any time prior
to the option's expiration. If  a call option that a  Fund or the Portfolio  has
written  expires, the Fund or the Portfolio will realize a gain in the amount of
the premium; however, such gain may be  offset by a decline in the market  value
of  the underlying security  or currency during  the option period.  If the call
option is exercised, the Fund or the Portfolio will realize a gain or loss  from
the  sale of  the underlying  security or currency,  which will  be increased or
offset by the premium received. The Government Income Fund, the Strategic Income
Fund and the Portfolio do not consider a security or currency covered by a  call
option to be "pledged" as that term is used in the Government Income Fund's, the
Strategic  Income Fund's and the  Portfolio's fundamental investment policy that
limits the pledging or mortgaging of its assets.
 
Writing call options can serve as a limited short hedge because declines in  the
value  of the  hedged investment would  be offset  to the extent  of the premium
received  for  writing  the  option.  However,  if  the  security  or   currency
appreciates to a price higher than the exercise price of the call option, it can
be  expected that the option will be exercised  and a Fund or the Portfolio will
be obligated to sell the security or currency at less than its market value.
 
The premium that the  Government Income Fund, the  Strategic Income Fund or  the
Portfolio  receives for writing a call option is deemed to constitute the market
value of  an option.  The premium  a Fund  or the  Portfolio will  receive  from
writing a call option will reflect, among other things, the current market price
of  the underlying  investment, the relationship  of the exercise  price to such
market price, the historical price volatility of the underlying investment,  and
the length of the option period. In determining whether a particular call option
should  be  written, the  Sub-adviser will  consider  the reasonableness  of the
anticipated premium and the likelihood that a liquid secondary market will exist
for those options.
 
Closing transactions  will  be effected  in  order to  realize  a profit  on  an
outstanding  call option,  to prevent  an underlying  security or  currency from
being called, or  to permit  the sale of  the underlying  security or  currency.
Furthermore,  effecting a closing transaction  will permit the Government Income
Fund, the Strategic Income Fund or the Portfolio to write another call option on
the underlying  security or  currency with  either a  different exercise  price,
expiration date or both.
 
The Government Income Fund, the Strategic Income Fund and the Portfolio will pay
transaction costs in connection with the writing of options and in entering into
closing  purchase  contracts.  Transaction costs  relating  to  options activity
normally are higher than  those applicable to purchases  and sales of  portfolio
securities.
 
The  exercise price of the  options may be below, equal  to or above the current
market values of the underlying securities or currencies at the time the options
are written.  From  time to  time,  a Fund  or  the Portfolio  may  purchase  an
underlying  security or currency for delivery in accordance with the exercise of
an option, rather than delivering such security or currency from its  portfolio.
In such cases, additional costs will be incurred.
 
A  Fund or the Portfolio  will realize a profit or  loss from a closing purchase
transaction if the cost of the  transaction is less or more, respectively,  than
the  premium received from  writing the option. Because  increases in the market
price of a call option generally will  reflect increases in the market price  of
the underlying security or currency, any loss resulting from the repurchase of a
call  option is likely to be  offset in whole or in  part by appreciation of the
underlying security or currency owned by a Fund or the Portfolio.
 
WRITING PUT OPTIONS
The Government Income  Fund, the  Strategic Income  Fund and  the Portfolio  may
write  put options on securities, indices and currencies. A put option gives the
purchaser of  the  option  the  right  to sell,  and  the  writer  (seller)  the
obligation  to buy, the underlying security or currency at the exercise price at
any time until (American style) or on (European style) the expiration date.  The
operation  of put options  in other respects, including  their related risks and
rewards, is substantially identical to that of call options.
 
A Fund or the Portfolio generally would write put options in circumstances where
the Sub-adviser wishes to purchase the  underlying security or currency for  the
Fund's  or the Portfolio's  portfolio at a  price lower than  the current market
price of
 
                   Statement of Additional Information Page 7
<PAGE>
                            AIM GLOBAL INCOME FUNDS
the security or currency. In such event, the Fund or the Portfolio would write a
put option at an  exercise price that,  reduced by the  premium received on  the
option,  reflects the lower  price it is willing  to pay. Since  the Fund or the
Portfolio  also  would  receive  interest  on  debt  securities  or   currencies
maintained  to cover the exercise  price of the option,  this technique could be
used to enhance current return during periods of market uncertainty. The risk in
such a transaction would be that the market price of the underlying security  or
currency would decline below the exercise price less the premiums received.
 
Writing  put options can serve as a  limited long hedge because increases in the
value of the  hedged investment would  be offset  to the extent  of the  premium
received   for  writing  the  option.  However,  if  the  security  or  currency
depreciates to a price lower than the  exercise price of the put option, it  can
be  expected that the put  option will be exercised and  a Fund or the Portfolio
will be  obligated to  purchase the  security or  currency at  greater than  its
market value.
 
PURCHASING PUT OPTIONS
The  Government Income  Fund, the  Strategic Income  Fund and  the Portfolio may
purchase put options on securities, indices  and currencies. As the holder of  a
put  option,  the  Government Income  Fund,  the  Strategic Income  Fund  or the
Portfolio would have the  right to sell the  underlying security or currency  at
the exercise price at any time until (American style) or on (European style) the
expiration  date. The Government  Income Fund, the Strategic  Income Fund or the
Portfolio may enter into closing sale transactions with respect to such options,
exercise them or permit them to expire.
 
A Fund or the Portfolio may purchase  a put option on an underlying security  or
currency  ("protective put")  owned by  the Fund or  the Portfolio  as a hedging
technique in order to protect against an anticipated decline in the value of the
security or currency. Such hedge protection is provided only during the life  of
the  put option when the Fund or the Portfolio, as the holder of the put option,
is able to sell the  underlying security or currency  at the put exercise  price
regardless  of  any  decline  in  the  underlying  security's  market  price  or
currency's exchange  value.  The  premium  paid  for  the  put  option  and  any
transaction  costs would reduce any  profit otherwise available for distribution
when the security or currency eventually is sold.
 
The Government Income Fund, the Strategic Income Fund and the Portfolio also may
purchase put options at a time when that Fund or the Portfolio does not own  the
underlying  security or  currency. By  purchasing put  options on  a security or
currency it  does not  own, a  Fund or  the Portfolio  seeks to  benefit from  a
decline  in the market price of the  underlying security or currency. If the put
option is not sold when it has remaining  value, and if the market price of  the
underlying  security or currency  remains equal to or  greater than the exercise
price during the life of the put option, the Fund or the Portfolio will lose its
entire investment in the put option. In  order for the purchase of a put  option
to  be profitable, the market price of  the underlying security or currency must
decline  sufficiently  below  the  exercise  price  to  cover  the  premium  and
transaction costs, unless the put option is sold in a closing sale transaction.
 
PURCHASING CALL OPTIONS
The  Government  Income Fund,  the Strategic  Income Fund  or the  Portfolio may
purchase call options on securities, indices and currencies. As the holder of  a
call  option,  a Fund  or the  Portfolio would  have the  right to  purchase the
underlying security  or  currency  at  the exercise  price  at  any  time  until
(American  style) or  on (European  style) the  expiration date.  A Fund  or the
Portfolio may enter into closing sale transactions with respect to such options,
exercise them or permit them to expire.
 
Call options may  be purchased by  a Fund or  the Portfolio for  the purpose  of
acquiring  the underlying  security or currency  for its  portfolio. Utilized in
this fashion,  the  purchase  of call  options  would  enable the  Fund  or  the
Portfolio  to acquire the security or currency at the exercise price of the call
option plus the premium paid. At times,  the net cost of acquiring the  security
or  currency in this manner may be less  than the cost of acquiring the security
or currency  directly. This  technique  also may  be useful  to  a Fund  or  the
Portfolio in purchasing a large block of securities that would be more difficult
to  acquire by direct market purchases. So long  as it holds such a call option,
rather than the underlying security or currency itself, a Fund or the  Portfolio
is  partially protected from any  unexpected decline in the  market price of the
underlying security or currency and, in such event, could allow the call  option
to  expire, incurring  a loss  only to the  extent of  the premium  paid for the
option.
 
The Government Income Fund, the Strategic Income Fund and the Portfolio also may
purchase call options on  underlying securities or currencies  it owns to  avoid
realizing losses that would result in a reduction of a Fund's or the Portfolio's
current  return. For example, where  a Fund or the  Portfolio has written a call
option on an underlying security or currency having a current market value below
the price at which  it purchased the  security or currency,  an increase in  the
market price could result in the exercise of the call option written by the Fund
or  the Portfolio and  the realization of  a loss on  the underlying security or
currency. Accordingly, the Fund or the Portfolio could purchase a call option on
the same underlying security  or currency, which could  be exercised to  fulfill
the Fund's or the Portfolio's delivery obligations under
 
                   Statement of Additional Information Page 8
<PAGE>
                            AIM GLOBAL INCOME FUNDS
its written call (if it is exercised). This strategy could allow the Fund or the
Portfolio  to avoid selling the portfolio security or currency at a time when it
has an unrealized loss; however, the Fund  or the Portfolio would have to pay  a
premium to purchase the call option plus transaction costs.
 
Aggregate  premiums paid for put and call options will not exceed 5% of a Fund's
or the Portfolio's total assets at the time of purchase.
 
The Government  Income Fund,  the Strategic  Income Fund  or the  Portfolio  may
attempt  to accomplish  objectives similar  to those  involved in  using Forward
Contracts by purchasing put or call options on currencies. A put option gives  a
Fund  or the Portfolio as purchaser the right (but not the obligation) to sell a
specified amount of currency at the  exercise price at any time until  (American
style)  or on (European style) the expiration of the option. A call option gives
a Fund or  the Portfolio  as purchaser  the right  (but not  the obligation)  to
purchase  a specified amount of currency at the exercise price at any time until
(American style) or on (European style) the expiration of the option. A Fund  or
the  Portfolio might  purchase a  currency put  option, for  example, to protect
itself against a decline in the dollar value of a currency in which it holds  or
anticipates  holding securities. If the  currency's value should decline against
the dollar, the loss in currency value should be offset, in whole or in part, by
an increase in the value of the put. If the value of the currency instead should
rise against the dollar, any gain to the Fund or the Portfolio would be  reduced
by  the premium it had paid for the  put option. A currency call option might be
purchased, for example, in anticipation of, or to protect against, a rise in the
value against  the dollar  of a  currency in  which the  Fund or  the  Portfolio
anticipates purchasing securities.
 
Options  may  be either  listed  on an  exchange  or traded  in over-the-counter
("OTC") markets. Listed options are third-party contracts (I.E., performance  of
the  obligations of the  purchaser and seller  is guaranteed by  the exchange or
clearing corporation), and have standardized strike prices and expiration dates.
OTC options are two-party contracts with negotiated strike prices and expiration
dates. The Funds and the  Portfolio will not purchase  an OTC option unless  the
Fund  or  the Portfolio  believes  that daily  valuations  for such  options are
readily obtainable. OTC options differ from exchange-traded options in that  OTC
options  are  transacted  with  dealers  directly  and  not  through  a clearing
corporation (which guarantees  performance). Consequently,  there is  a risk  of
non-performance  by the dealer.  Since no exchange is  involved, OTC options are
valued on the basis of an average of the last bid prices obtained from  dealers,
unless  a quotation from only  one dealer is available,  in which case only that
dealer's price  will be  used. In  the  case of  OTC options,  there can  be  no
assurance that a liquid secondary market will exist for any particular option at
any specific time.
 
The  staff of the Securities and Exchange Commission ("SEC") considers purchased
OTC options to be illiquid securities. A Fund or the Portfolio may also sell OTC
options and, in connection therewith, segregate assets or cover its  obligations
with  respect to OTC  options written by  the Fund or  the Portfolio. The assets
used as  cover for  OTC options  written  by a  Fund or  the Portfolio  will  be
considered  illiquid unless  the OTC options  are sold to  qualified dealers who
agree that the Fund or the Portfolio may repurchase any OTC option it writes  at
a maximum price to be calculated by a formula set forth in the option agreement.
The  cover  for  an  OTC  option written  subject  to  this  procedure  would be
considered illiquid only to the extent  that the maximum repurchase price  under
the formula exceeds the intrinsic value of the option.
 
A  Fund's or  the Portfolio's  ability to establish  and close  out positions in
exchange-listed options depends on the existence  of a liquid market. Each  Fund
and  the  Portfolio  intends to  purchase  or write  only  those exchange-traded
options for which there appears to be a liquid secondary market. However,  there
can  be  no assurance  that such  a market  will exist  at any  particular time.
Closing transactions can be  made for OTC options  only by negotiating  directly
with  the contra party or  by a transaction in the  secondary market if any such
market exists. Although each Fund and the Portfolio will enter into OTC  options
only  with  contra parties  that are  expected  to be  capable of  entering into
closing transactions with the Fund or the Portfolio, there is no assurance  that
the  Fund or  the Portfolio  will in  fact be  able to  close out  an OTC option
position at a favorable price prior to expiration. In the event of insolvency of
the contra party, the Fund or the Portfolio might be unable to close out an  OTC
option position at any time prior to its expiration.
 
INDEX OPTIONS
Puts and calls on indices are similar to puts and calls on securities or futures
contracts  except that all settlements  are in cash and  gain or loss depends on
changes in the index in question (and thus on price movements in the  securities
market  or a particular market sector  generally) rather than on price movements
in individual securities  or futures  contracts. When  a Fund  or the  Portfolio
writes  a call on an index, it receives  a premium and agrees that, prior to the
expiration date, the  purchaser of  the call, upon  exercise of  the call,  will
receive from the Fund or the Portfolio an amount of cash if the closing level of
the index upon which the call is based is greater than the exercise price of the
call. The amount of cash is equal to the difference between the closing price of
the  index and the  exercise price of  the call times  a specified multiple (the
"multiplier"), which determines the  total dollar value for  each point of  such
difference.  When a Fund  or the Portfolio  buys a call  on an index,  it pays a
premium and has the same rights as to such calls as are indicated above. When  a
Fund or the
 
                   Statement of Additional Information Page 9
<PAGE>
                            AIM GLOBAL INCOME FUNDS
Portfolio  buys a put on an index, it pays a premium and has the right, prior to
the expiration date, to require  the seller of the put,  upon the Fund's or  the
Portfolio's  exercise of  the put, to  deliver to  the Fund or  the Portfolio an
amount of cash if the closing level of the index upon which the put is based  is
less  than the exercise price of the put,  which amount of cash is determined by
the multiplier,  as described  above for  calls. When  a Fund  or the  Portfolio
writes a put on an index, it receives a premium and the purchaser has the right,
prior to the expiration date, to require the Fund or the Portfolio to deliver to
it  an amount of cash  equal to the difference between  the closing level of the
index and the exercise price times the multiplier, if the closing level is  less
than the exercise price.
 
The  risks  of  investment in  index  options  may be  greater  than  options on
securities. Because  index options  are settled  in  cash, when  a Fund  or  the
Portfolio  writes  a call  on  an index  it cannot  provide  in advance  for its
potential  settlement  obligations  by  acquiring  and  holding  the  underlying
securities.  A Fund or  the Portfolio can offset  some of the  risk of writing a
call index  option position  by holding  a diversified  portfolio of  securities
similar  to those on which the underlying index is based. However, a Fund or the
Portfolio cannot, as a practical matter, acquire and hold a portfolio containing
exactly the same securities as underlie the index and, as a result, bears a risk
that the value of the securities held will vary from the value of the index.
 
Even if  a Fund  or the  Portfolio could  assemble a  securities portfolio  that
exactly  reproduced the composition of the  underlying index, it still would not
be fully covered from a risk standpoint because of the "timing risk" inherent in
writing index options.  When an index  option is exercised,  the amount of  cash
that  the holder is entitled to receive  is determined by the difference between
the exercise price and the  closing index level on the  date when the option  is
exercised.  As with other  kinds of options,  the Fund or  the Portfolio, as the
call writer, will not know that it has been assigned until the next business day
at the earliest. The time lag between exercise and notice of assignment poses no
risk for the writer of a covered call on a specific underlying security, such as
common stock, because there the writer's obligation is to deliver the underlying
security, not to pay its value  as of a fixed time in  the past. So long as  the
writer  already  owns the  underlying security,  it  can satisfy  its settlement
obligations by  simply delivering  it, and  the  risk that  its value  may  have
declined since the exercise date is borne by the exercising holder. In contrast,
even  if the  writer of an  index call  holds securities that  exactly match the
composition of  the  underlying  index, it  will  not  be able  to  satisfy  its
assignment  obligations by  delivering those  securities against  payment of the
exercise price. Instead, it will be required  to pay cash in an amount based  on
the  closing index value on the exercise date; and by the time it learns that it
has been assigned, the index may have declined, with a corresponding decline  in
the  value  of  its securities  portfolio.  This  "timing risk"  is  an inherent
limitation on the ability of index call writers to cover their risk exposure  by
holding securities positions.
 
If a Fund or the Portfolio purchases an index option and exercises it before the
closing  index value for that day is available,  it runs the risk that the level
of the underlying  index may subsequently  change. If such  a change causes  the
exercised  option to  fall out-of-the-money, the  Fund or the  Portfolio will be
required to pay the difference between the closing index value and the  exercise
price of the option (times the applicable multiplier) to the assigned writer.
 
INTEREST RATE AND CURRENCY FUTURES CONTRACTS
The Government Income Fund, the Strategic Income Fund or the Portfolio may enter
into interest rate or currency futures contracts, including futures contracts on
indices  of  debt securities,  ("Futures" or  "Futures  Contracts"), as  a hedge
against changes  in prevailing  levels of  interest rates  or currency  exchange
rates  in order to establish more  definitely the effective return on securities
or currencies held or intended to be acquired by the Fund or the Portfolio.  The
Government  Income Fund, the Strategic Income  Fund's or the Portfolio's hedging
may include  sales  of Futures  as  an offset  against  the effect  of  expected
increases  in  interest  rates  or decreases  in  currency  exchange  rates, and
purchases of Futures  as an offset  against the effect  of expected declines  in
interest rates or increases in currency exchange rates.
 
The  Government Income Fund's, the Strategic  Income Fund and the Portfolio only
will enter into Futures Contracts which are traded on futures exchanges and  are
standardized  as to maturity  date and underlying  financial instrument. Futures
exchanges and  trading thereon  in the  United States  are regulated  under  the
Commodity  Exchange Act  by the  Commodity Futures  Trading Commission ("CFTC").
Futures are exchanged in  London at the  London International Financial  Futures
Exchange.
 
Although techniques other than sales and purchases of Futures Contracts could be
used  to  reduce a  Fund's  or the  Portfolio's  exposure to  interest  rate and
currency exchange rate  fluctuations, a  Fund or the  Portfolio may  be able  to
hedge  exposure  more effectively  and  at a  lower  cost through  using Futures
Contracts.
 
A Futures Contract provides  for the future  sale by one  party and purchase  by
another  party of  a specified amount  of a specific  financial instrument (debt
security or  currency) for  a specified  price at  a designated  date, time  and
place.  An index  Futures Contract  provides for  the delivery,  at a designated
date,  time  and   place,  of   an  amount  of   cash  equal   to  a   specified
 
                  Statement of Additional Information Page 10
<PAGE>
                            AIM GLOBAL INCOME FUNDS
dollar  amount times  the difference  between the  index value  at the  close of
trading on  the  contract  and  the  price at  which  the  Futures  Contract  is
originally  struck; no physical delivery of  the securities comprising the index
is made. Brokerage fees are incurred when a Futures Contract is bought or  sold,
and  margin deposits  must be  maintained at all  times the  Futures Contract is
outstanding.
 
Although Futures Contracts typically require future delivery of and payment  for
financial  instruments or currencies,  Futures Contracts usually  are closed out
before the delivery date. Closing out an open Futures Contract sale or  purchase
is  effected by entering  into an offsetting Futures  Contract purchase or sale,
respectively,  for  the  same  aggregate  amount  of  the  identical   financial
instrument  or currency and  the same delivery date.  If the offsetting purchase
price is less  than the  original sale price,  the Government  Income Fund,  the
Strategic  Income Fund  or the  Portfolio realizes  a gain;  if it  is more, the
Government Income Fund, the  Strategic Income Fund or  the Portfolio realizes  a
loss.  Conversely,  if  the offsetting  sale  price  is more  than  the original
purchase price, the  Government Income Fund,  the Strategic Income  Fund or  the
Portfolio  realizes  a gain;  if it  is  less, the  Government Income  Fund, the
Strategic Income Fund or  the Portfolio realizes a  loss. The transaction  costs
also must be included in these calculations. There can be no assurance, however,
that  a  Fund  or  the  Portfolio  will be  able  to  enter  into  an offsetting
transaction with respect to a particular Futures Contract at a particular  time.
If  a Fund or the Portfolio is not able to enter into an offsetting transaction,
the Fund or the Portfolio  will continue to be  required to maintain the  margin
deposits on the Futures Contract.
 
As  an example of an offsetting transaction, the contractual obligations arising
from the sale of one Futures Contract of September Deutschemarks on an  exchange
may  be fulfilled  at any  time before  delivery under  the Futures  Contract is
required (I.E., on a specified date  in September, the "delivery month") by  the
purchase  of another  Futures Contract  of September  Deutschemarks on  the same
exchange. In  such instance,  the  difference between  the  price at  which  the
Futures  Contract was sold and the price paid for the offsetting purchase, after
allowance for transaction costs, represents the profit or loss to the Government
Income Fund, the Strategic Income Fund or the Portfolio.
 
The Government  Income Fund,  the Strategic  Income Fund's  and the  Portfolio's
Futures  transactions will be  entered into for hedging  purposes only; that is,
Futures Contracts will  be sold to  protect against  a decline in  the price  of
securities  or  currencies  that the  Fund  or  the Portfolio  owns,  or Futures
Contracts will be  purchased to  protect the Fund  or the  Portfolio against  an
increase  in the price of securities or  currencies it has committed to purchase
or expects to purchase.
 
"Margin" with respect to Futures Contracts is  the amount of funds that must  be
deposited  by  the Government  Income  Fund, the  Strategic  Income Fund  or the
Portfolio in order to initiate Futures trading and to maintain the Fund's or the
Portfolio's open positions in Futures Contracts. A margin deposit made when  the
Futures  Contract is  entered into  ("initial margin")  is intended  to assure a
Fund's or the  Portfolio's performance  under the Futures  Contract. The  margin
required  for a particular Futures Contract is  set by the exchange on which the
Futures Contract is traded, and may be modified significantly from time to  time
by the exchange during the term of the Futures Contract.
 
Subsequent  payments,  called  "variation  margin,"  to  and  from  the  futures
commission merchant through  which the Fund  or the Portfolio  entered into  the
Futures  Contract will be made  on a daily basis as  the price of the underlying
security, currency or index fluctuates making the Futures Contract more or  less
valuable, a process known as marking-to-market.
 
    RISKS  OF  USING  FUTURES CONTRACTS.  The  prices of  Futures  Contracts are
volatile and  are influenced,  among  other things,  by actual  and  anticipated
changes in interest and currency rates, which in turn are affected by fiscal and
monetary policies and national and international political and economic events.
 
There  is a risk of  imperfect correlation between changes  in prices of Futures
Contracts and  prices  of  the securities  or  currencies  in a  Fund's  or  the
Portfolio's  portfolio being hedged.  The degree of  imperfection of correlation
depends upon circumstances such as: variations in speculative market demand  for
Futures  and  for securities  or currencies,  including technical  influences in
Futures trading; and differences between the financial instruments being  hedged
and  the  instruments underlying  the standard  Futures Contracts  available for
trading. A  decision of  whether, when,  and  how to  hedge involves  skill  and
judgment,  and even  a well-conceived hedge  may be unsuccessful  to some degree
because of unexpected market behavior or interest or currency rate trends.
 
Because of  the  low  margin  deposits required,  Futures  trading  involves  an
extremely  high  degree  of leverage.  As  a  result, a  relatively  small price
movement in a Futures Contract may result in immediate and substantial loss,  as
well  as gain, to the investor. For example,  if at the time of purchase, 10% of
the value  of the  Futures Contract  is deposited  as margin,  a subsequent  10%
decrease  in the value of  the Futures Contract would result  in a total loss of
the margin  deposit, before  any deduction  for the  transaction costs,  if  the
account  were then closed  out. A 15% decrease  would result in  a loss equal to
150% of the original  margin deposit, if the  Futures Contract were closed  out.
Thus, a purchase or sale of a Futures Contract may result in losses in excess of
the amount invested in the Futures Contract.
 
                  Statement of Additional Information Page 11
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
Most U.S. Futures exchanges limit the amount of fluctuation permitted in Futures
Contract and options on Futures Contract prices during a single trading day. The
daily  limit establishes the maximum amount that the price of a Futures Contract
or option may vary either up or down from the previous day's settlement price at
the end  of a  trading session.  Once  the daily  limit has  been reached  in  a
particular type of Futures Contract or option, no trades may be made on that day
at a price beyond that limit. The daily limit governs only price movement during
a  particular trading day and therefore does not limit potential losses, because
the limit may prevent the liquidation of unfavorable positions. Futures Contract
and option  prices  occasionally have  moved  to  the daily  limit  for  several
consecutive  trading days with  little or no  trading, thereby preventing prompt
liquidation of positions and subjecting some traders to substantial losses.
 
If a Fund  or the  Portfolio were  unable to liquidate  a Futures  or option  on
Futures  position  due  to the  absence  of  a liquid  secondary  market  or the
imposition of price limits, it could  incur substantial losses. The Fund or  the
Portfolio  would  continue to  be subject  to  market risk  with respect  to the
position. In addition, except in the case of purchased options, the Fund or  the
Portfolio  would continue to be required to make daily variation margin payments
and might be required  to maintain the  position being hedged  by the Future  or
option or to maintain cash or securities in a segregated account.
 
Certain  characteristics  of the  Futures market  might  increase the  risk that
movements in the  prices of Futures  Contracts or options  on Futures might  not
correlate  perfectly  with  movements in  the  prices of  the  investments being
hedged. For example,  all participants  in the  Futures and  options on  Futures
markets  are subject to daily  variation margin calls and  might be compelled to
liquidate Futures  or  options on  Futures  positions whose  prices  are  moving
unfavorably  to avoid being  subject to further  calls. These liquidations could
increase price  volatility  of the  instruments  and distort  the  normal  price
relationship  between the Futures  or options and  the investments being hedged.
Also, because initial margin deposit requirements in the Futures market are less
onerous than  margin requirements  in  the securities  markets, there  might  be
increased   participation   by  speculators   in   the  Futures   markets.  This
participation  also  might  cause  temporary  price  distortions.  In  addition,
activities of large traders in both the Futures and securities markets involving
arbitrage,  "program trading"  and other  investment strategies  might result in
temporary price distortions.
 
OPTIONS ON FUTURES CONTRACTS
Options on Futures Contracts are similar to options on securities or  currencies
except that options on Futures Contracts give the purchaser the right, in return
for  the  premium paid,  to  assume a  position in  a  Futures Contract  (a long
position if the option is a call and a short position if the option is a put) at
a specified exercise price  at any time  during the period  of the option.  Upon
exercise  of the option, the  delivery of the Futures  position by the writer of
the option to the holder  of the option will be  accompanied by delivery of  the
accumulated balance in the writer's Futures margin account, which represents the
amount  by which the market price of  the Futures Contract, at exercise, exceeds
(in the case of  a call) or  is less than (in  the case of  a put) the  exercise
price  of the option on  the Futures Contract. If an  option is exercised on the
last trading day prior to the expiration date of the option, the settlement will
be made entirely in cash equal to  the difference between the exercise price  of
the  option and the  closing level of  the securities, currencies  or index upon
which the  Futures Contract  is  based on  the  expiration date.  Purchasers  of
options  who fail to exercise their options  prior to the exercise date suffer a
loss of the premium paid.
 
The purchase of  call options  on Futures  can serve as  a long  hedge, and  the
purchase  of put  options on Futures  can serve  as a short  hedge. Writing call
options on Futures can serve as a  limited short hedge, and writing put  options
on  Futures can serve as a limited long  hedge, using a strategy similar to that
used for writing options on securities, foreign currencies or indices.
 
If a Fund or the  Portfolio writes an option on  a Futures Contract, it will  be
required  to  deposit  initial  and variation  margin  pursuant  to requirements
similar to those  applicable to  Futures Contracts. Premiums  received from  the
writing  of an option on  a Futures Contract are  included in the initial margin
deposit.
 
A Fund or the Portfolio may seek to  close out an option position by selling  an
option covering the same Futures Contract and having the same exercise price and
expiration  date.  The ability  to  establish and  close  out positions  on such
options is subject to the maintenance of a liquid secondary market.
 
LIMITATIONS ON  USE  OF FUTURES,  OPTIONS  ON  FUTURES AND  CERTAIN  OPTIONS  ON
CURRENCIES
To  the  extent that  a Fund  or  the Portfolio  enters into  Futures Contracts,
options on Futures  Contracts, and  options on  foreign currencies  traded on  a
CFTC-regulated  exchange, in each case other than for BONA FIDE hedging purposes
(as defined by the CFTC), the aggregate initial margin and premiums required  to
establish   those  positions  (excluding   the  amount  by   which  options  are
"in-the-money") will not exceed 5% of the liquidation value of the Fund's or the
Portfolio's  portfolio,  after  taking  into  account  unrealized  profits   and
unrealized  losses on any contracts the Fund  or the Portfolio has entered into.
In general, a call option on a  Futures Contract is "in-the-money" if the  value
of the underlying Futures
 
                  Statement of Additional Information Page 12
<PAGE>
                            AIM GLOBAL INCOME FUNDS
Contract  exceeds the strike, I.E., exercise, price of the call; a put option on
a Futures Contract  is "in-the-money"  if the  value of  the underlying  Futures
Contract  is exceeded  by the  strike price  of the  put. This  guideline may be
modified by  the  Company's Board  of  Directors  or the  Portfolio's  Board  of
Trustees,  as applicable, without  a shareholder vote.  This limitation does not
limit the percentage of the Fund's or the Portfolio's assets at risk to 5%.
 
FORWARD CONTRACTS
A Forward Contract is an obligation,  generally arranged with a commercial  bank
or  other  currency  dealer, to  purchase  or  sell a  currency  against another
currency at  a  future  date and  price  as  agreed upon  by  the  parties.  The
Government  Income Fund, the Strategic Income  Fund and the Portfolio either may
accept or make delivery of the currency at the maturity of the Forward Contract.
A Fund or the Portfolio may also, if its contra party agrees, prior to maturity,
enter into a closing transaction involving the purchase or sale of an offsetting
contract.
 
A Fund or the Portfolio engages in forward currency transactions in anticipation
of, or to protect itself against, fluctuations in exchange rates. A Fund or  the
Portfolio might sell a particular foreign currency forward, for example, when it
holds  bonds denominated in a foreign currency  but anticipates, and seeks to be
protected against, a decline in the currency against the U.S. dollar. Similarly,
a Fund or the Portfolio might sell  the U.S. dollar forward when it holds  bonds
denominated  in U.S. dollars but anticipates, and seeks to be protected against,
a decline in the U.S. dollar relative to other currencies. Further, the Funds or
the Portfolio  might purchase  a currency  forward  to "lock  in" the  price  of
securities denominated in that currency that it anticipates purchasing.
 
Forward  Contracts are traded in the interbank market conducted directly between
currency traders (usually large commercial banks) and their customers. A Forward
Contract generally has no deposit requirement, and no commissions are charged at
any stage for trades. The Government  Income Fund, the Strategic Income Fund  or
the  Portfolio will enter into such Forward Contracts with major U.S. or foreign
banks and securities or currency dealers in accordance with guidelines  approved
by  the Company's Board  of Directors or  the Portfolio's Board  of Trustees, as
applicable.
 
The Government Income Fund, the Strategic Income Fund or the Portfolio may enter
into Forward  Contracts either  with respect  to specific  transactions or  with
respect  to the  overall investment  of the Fund  or the  Portfolio. The precise
matching of the Forward  Contract amounts and the  value of specific  securities
generally  will not be possible  because the future value  of such securities in
foreign currencies will change as a consequence of market movements in the value
of those securities between  the date the Forward  Contract is entered into  and
the  date  it matures.  Accordingly, it  may be  necessary for  the Fund  or the
Portfolio to  purchase additional  foreign  currency on  the spot  (I.E.,  cash)
market  (and  bear the  expense of  such purchase)  if the  market value  of the
security is less than the amount of  foreign currency the Fund or the  Portfolio
is  obligated to deliver and if a decision is made to sell the security and make
delivery of the foreign currency. Conversely, it may be necessary to sell on the
spot market some of the foreign currency the Fund or the Portfolio is  obligated
to  deliver. The projection of short-term currency market movements is extremely
difficult, and  the successful  execution of  a short-term  hedging strategy  is
highly  uncertain. Forward Contracts involve  the risk that anticipated currency
movements will not be predicted accurately, causing the Fund or the Portfolio to
sustain losses on these contracts and transaction costs.
 
At or  before the  maturity of  a Forward  Contract requiring  the Fund  or  the
Portfolio  to  sell a  currency, the  Fund or  the Portfolio  either may  sell a
portfolio security and use the sale proceeds to make delivery of the currency or
retain the  security  and  offset  its contractual  obligation  to  deliver  the
currency  by purchasing  a second  contract pursuant  to which  the Fund  or the
Portfolio will  obtain,  on the  same  maturity date,  the  same amount  of  the
currency  that it is obligated to deliver.  Similarly, the Fund or the Portfolio
may close out a Forward Contract  requiring it to purchase a specified  currency
by  entering into a second contract, if its contra party agrees, entitling it to
sell the same  amount of the  same currency on  the maturity date  of the  first
contract.  The Fund or the Portfolio would realize a gain or loss as a result of
entering into such an offsetting  Forward Contract under either circumstance  to
the  extent the  exchange rate  or rates  between the  currencies involved moved
between the execution dates of the first contract and the offsetting contract.
 
The cost to a Fund or the Portfolio of engaging in Forward Contracts varies with
factors such as the currencies involved,  the length of the contract period  and
the  market conditions  then prevailing.  Because Forward  Contracts usually are
entered into on a principal basis, no fees or commissions are involved. The  use
of  Forward  Contracts does  not  eliminate fluctuations  in  the prices  of the
underlying securities the Fund or the Portfolio owns or intends to acquire,  but
it  does establish  a rate  of exchange in  advance. In  addition, while Forward
Contracts limit the risk  of loss due to  a decline in the  value of the  hedged
currencies,  they also  limit any  potential gain  that might  result should the
value of the currencies increase.
 
                  Statement of Additional Information Page 13
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
FOREIGN CURRENCY STRATEGIES -- SPECIAL CONSIDERATIONS
A Fund  or the  Portfolio may  use  options on  foreign currencies,  Futures  on
foreign  currencies,  options  on  Futures  on  foreign  currencies  and Forward
Contracts to hedge against movements in the values of the foreign currencies  in
which  the Fund's or  the Portfolio's securities  are denominated. Such currency
hedges can protect  against price movements  in a  security that a  Fund or  the
Portfolio  owns or intends  to acquire that  are attributable to  changes in the
value of the currency in which it  is denominated. Such hedges do not,  however,
protect against price movements in the securities that are attributable to other
causes.
 
A  Fund or the Portfolio might  seek to hedge against changes  in the value of a
particular currency  when  no  Futures  Contract,  Forward  Contract  or  option
involving  that currency is available or one of such contracts is more expensive
than certain other contracts. In such cases, the Fund or the Portfolio may hedge
against price movements in that currency by entering into a contract on  another
currency  or basket of currencies, the  values of which the Sub-adviser believes
will have a positive correlation to the value of the currency being hedged.  The
risk  that movements in the  price of the contract  will not correlate perfectly
with movements in the price of the currency being hedged is magnified when  this
strategy is used.
 
The  value of Futures Contracts, options on Futures Contracts, Forward Contracts
and options  on  foreign currencies  depends  on  the value  of  the  underlying
currency  relative  to the  U.S. dollar.  Because foreign  currency transactions
occurring in the  interbank market  might involve  substantially larger  amounts
than  those  involved in  the  use of  Futures  Contracts, Forward  Contracts or
options, a Fund or the  Portfolio could be disadvantaged  by dealing in the  odd
lot  market (generally consisting  of transactions of less  than $1 million) for
the underlying foreign  currencies at prices  that are less  favorable than  for
round lots.
 
There is no systematic reporting of last sale information for foreign currencies
or  any  regulatory requirements  that quotations  available through  dealers or
other market sources be firm or revised on a timely basis. Quotation information
generally is representative of very  large transactions in the interbank  market
and  thus  might not  reflect  odd-lot transactions  where  rates might  be less
favorable.  The   interbank  market   in  foreign   currencies  is   a   global,
round-the-clock  market. To the  extent the U.S. options  or Futures markets are
closed while the markets for the underlying currencies remain open,  significant
price  and rate movements might take place in the underlying markets that cannot
be reflected in  the markets  for the Futures  contracts or  options until  they
reopen.
 
Settlement of Futures Contracts, Forward Contracts and options involving foreign
currencies  might  be required  to  take place  within  the country  issuing the
underlying currency. Thus, a Fund or  the Portfolio might be required to  accept
or  make delivery of the underlying foreign currency in accordance with any U.S.
or foreign regulations regarding the maintenance of foreign banking arrangements
by U.S. residents  and might  be required  to pay  any fees,  taxes and  charges
associated with such delivery assessed in the issuing country.
 
COVER
Transactions  using Forward Contracts, Futures Contracts and options (other than
options purchased by a Fund or the  Portfolio) expose the Fund or the  Portfolio
to  an obligation to another party. A Fund  or the Portfolio will not enter into
any such  transactions unless  it owns  either (1)  an offsetting  ("covered  ")
position  in  securities, currencies,  or  other options,  Forward  Contracts or
Futures Contracts, or (2) cash, receivables and short-term debt securities  with
a  value sufficient at all times to  cover its potential obligations not covered
as provided in  (1) above.  Each Fund  and the  Portfolio will  comply with  SEC
guidelines  regarding  cover for  these instruments  and,  if the  guidelines so
require, set aside cash or liquid securities.
 
Assets used as cover or  held in a segregated account  cannot be sold while  the
position  in the corresponding  Forward Contract, Futures  Contract or option is
open, unless they are replaced with other appropriate assets. If a large portion
of a Fund's or the Portfolio's assets are used for cover or segregated accounts,
it could affect portfolio management or the Fund's or the Portfolio's ability to
meet redemption requests or other current obligations.
 
INTEREST RATE AND CURRENCY SWAPS
The Strategic Income  Fund and the  Portfolio usually will  enter into  interest
rate  swaps on a net basis, that is, the two payment streams are netted out in a
cash settlement on the payment date  or dates specified in the instrument,  with
the  Strategic Income Fund or the Portfolio receiving or paying, as the case may
be, only the net amount  of the two payments. The  net amount of the excess,  if
any, of each of the Strategic Income Fund's and the Portfolio's obligations over
its  entitlements with respect to each swap will be accrued on a daily basis and
an amount of cash or  liquid securities having an  aggregate net asset value  at
least  equal  to  the accrued  excess  will be  maintained  in an  account  by a
custodian that satisfies the requirements of the 1940 Act. The Strategic  Income
Fund and the Portfolio will also establish and maintain such segregated accounts
with  respect to its total obligations under any swaps that are not entered into
on a net basis and with respect to  any caps or floors that are written by  that
Fund   or  the  Portfolio.  The  Sub-adviser,  the  Strategic  Income  Fund  and
 
                  Statement of Additional Information Page 14
<PAGE>
                            AIM GLOBAL INCOME FUNDS
the Portfolio  believe that  swaps, caps  and floors  do not  constitute  senior
securities  under the 1940  Act and, accordingly,  will not treat  them as being
subject to the Fund's and the Portfolio's borrowing restrictions. The  Strategic
Income  Fund and the Portfolio will not  enter into any swap, cap, floor, collar
or other  derivative  transaction unless,  at  the  time of  entering  into  the
transaction,  the unsecured long-term  debt rating of  the counterparty combined
with any credit enhancements is rated  at least A by Moody's Investors  Service,
Inc.  ("Moody's")  or  Standard  &  Poor's  Ratings  Group  ("S&P"),  or  has an
equivalent rating from a  nationally recognized statistical rating  organization
or  is determined to  be of equivalent  credit quality by  the Sub-adviser. If a
counterparty defaults,  the Strategic  Income  Fund or  the Portfolio  may  have
contractual remedies pursuant to the agreements related to the transactions. The
swap  market has  grown substantially  in recent years,  with a  large number of
banks and  investment banking  firms acting  both as  principals and  as  agents
utilizing  standardized swap  documentation. As  a result,  the swap  market has
become relatively liquid. Caps, floors  and collars are more recent  innovations
for  which standardized documentation has not  yet been fully developed and, for
that reason, they are less liquid than swaps.
 
- --------------------------------------------------------------------------------
 
                                  RISK FACTORS
 
- --------------------------------------------------------------------------------
 
ILLIQUID SECURITIES
The Government Income Fund, the Strategic Income Fund and the Portfolio each may
invest up  to  15% of  net  assets in  illiquid  securities. Securities  may  be
considered  illiquid if a Fund or  the Portfolio cannot reasonably expect within
seven days  to  receive  approximately the  amount  at  which the  Fund  or  the
Portfolio  values such securities. The sale  of illiquid securities, if they can
be sold at all, generally will require more time and result in higher  brokerage
charges  or dealer discounts  and other selling  expenses than will  the sale of
liquid securities, such as  securities eligible for  trading on U.S.  securities
exchanges  or in the over-the-counter  markets. Moreover, restricted securities,
which may be illiquid for purposes of this limitation, often sell, if at all, at
a price lower than  similar securities that are  not subject to restrictions  on
resale.
 
Illiquid  securities include those that are subject to restrictions contained in
the securities  laws of  other countries.  However, securities  that are  freely
marketable  in the country where  they are principally traded,  but would not be
freely marketable in the United States,  will not be considered illiquid.  Where
registration  is required, each Fund  and the Portfolio may  be obligated to pay
all or part of  the registration expenses and  a considerable period may  elapse
between  the time of the decision  to sell and the time  a Fund or the Portfolio
may be permitted to sell a  security under an effective registration  statement.
If,  during such a period, adverse market  conditions were to develop, a Fund or
the Portfolio might obtain a less favorable price than prevailed when it decided
to sell.
 
Not  all  restricted  securities   are  illiquid.  In   recent  years  a   large
institutional   market  has  developed  for  certain  securities  that  are  not
registered under the Securities Act of 1933, as amended ("1933 Act"),  including
private  placements, repurchase agreements, commercial paper, foreign securities
and corporate bonds and notes. These instruments are often restricted securities
because the  securities are  sold in  transactions not  requiring  registration.
Institutional investors generally will not seek to sell these instruments to the
general   public,  but  instead  will  often   depend  either  on  an  efficient
institutional market in which such unregistered securities can be readily resold
or on an issuer's ability to honor  a demand for repayment. Therefore, the  fact
that there are contractual or legal restrictions on resale to the general public
or certain institutions is not dispositive of the liquidity of such investments.
 
Rule  144A under the 1933 Act establishes  a "safe harbor" from the registration
requirements of the  1933 Act  for resales  of certain  securities to  qualified
institutional  buyers.  Institutional  markets  for  restricted  securities have
developed as a result of Rule 144A, providing both readily ascertainable  values
for  restricted securities and the ability to liquidate an investment to satisfy
share redemption orders. Such markets include automated systems for the trading,
clearance and  settlement of  unregistered securities  of domestic  and  foreign
issuers,  such as  the PORTAL  System sponsored  by the  National Association of
Securities Dealers,  Inc.  An  insufficient number  of  qualified  institutional
buyers interested in purchasing Rule 144A-eligible restricted securities held by
a  Fund or the  Portfolio, however, could affect  adversely the marketability of
such portfolio securities and a Fund or the Portfolio might be unable to dispose
of such securities promptly or at favorable prices.
 
                  Statement of Additional Information Page 15
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
With respect  to  liquidity determinations  generally,  the Company's  Board  of
Directors  has  the  ultimate responsibility  for  determining  whether specific
securities, including  restricted securities  eligible for  resale to  qualified
institutional  buyers pursuant to  Rule 144A under  the 1933 Act,  are liquid or
illiquid.  The  Board   has  delegated   the  function   of  making   day-to-day
determinations  of liquidity  to the  Sub-adviser in  accordance with procedures
approved by the Board. The Sub-adviser takes into account a number of factors in
reaching liquidity decisions,  including: (i)  the frequency of  trading in  the
security;  (ii) the number of  dealers that make quotes  for the security; (iii)
the number of dealers  that have undertaken  to make a  market in the  security;
(iv)  the  number of  other  potential purchasers;  and  (v) the  nature  of the
security and  how  trading  is effected  (e.g.,  the  time needed  to  sell  the
security,  how  offers  are  solicited  and  the  mechanics  of  transfer).  The
Sub-adviser will monitor the liquidity of  securities held by each Fund and  the
Portfolio  and report periodically on such  decisions to the Board of Directors.
Moreover, as noted in the Prospectus, certain securities, such as those  subject
to
registration  restrictions of more than seven days, will generally be treated as
illiquid. If the liquidity percentage restriction of each Fund and the Portfolio
is satisfied at the time  of investment, a later  increase in the percentage  of
illiquid  securities held by each Fund and the Portfolio resulting from a change
in market value or assets will  not constitute a violation of that  restriction.
If as a result of a change in market value or assets, the percentage of illiquid
securities held by a Fund or the Portfolio increases above the applicable limit,
the  Sub-adviser will  take appropriate steps  to bring the  aggregate amount of
illiquid assets back  within the  prescribed limitations as  soon as  reasonably
practicable,  taking into account the  effect of any disposition  on the Fund or
Portfolio.
 
FOREIGN SECURITIES
    POLITICAL, SOCIAL AND  ECONOMIC RISKS. Investing  in securities of  non-U.S.
companies may entail additional risks due to the potential political, social and
economic  instability  of  certain  countries and  the  risks  of expropriation,
nationalization, confiscation  or  the  imposition of  restrictions  on  foreign
investment,  convertibility of currencies into  U.S. dollars and on repatriation
of capital  invested. In  the event  of such  expropriation, nationalization  or
other confiscation by any country, either a Fund or the Portfolio could lose its
entire investment in any such country.
 
    RELIGIOUS,  POLITICAL AND ETHNIC  INSTABILITY. Certain countries  in which a
Fund or the Portfolio may invest may have groups that advocate radical religious
or revolutionary philosophies or support ethnic independence. Any disturbance on
the  part  of  such  individuals  could  carry  the  potential  for   widespread
destruction  or  confiscation  of  property owned  by  individuals  and entities
foreign to such country and could cause the loss of a Fund's or the  Portfolio's
investment  in those  countries. Instability may  also result  from, among other
things: (i) authoritarian governments or  military involvement in political  and
economic    decision-making,   including    changes   in    government   through
extra-constitutional means;  (ii) popular  unrest  associated with  demands  for
improved  political, economic and social conditions; and (iii) hostile relations
with neighboring  or  other  countries.  Such  political,  social  and  economic
instability could disrupt the principal financial markets in which a Fund or the
Portfolio  invests  and  adversely  affect  the  value  of  the  Fund's  or  the
Portfolio's assets.
 
    FOREIGN  INVESTMENT  RESTRICTIONS.  Certain  countries  prohibit  or  impose
substantial  restrictions on investments in  their capital markets, particularly
their equity markets, by  foreign entities such as  the Government Income  Fund,
the  Strategic Income Fund or the  Portfolio. These restrictions or controls may
at times limit or preclude investment in certain securities and may increase the
cost and expenses  of a Fund  or the Portfolio.  For example, certain  countries
require prior governmental approval before investments by foreign persons may be
made,  or may limit the amount of  investment by foreign persons in a particular
company, or may limit the investment by foreign persons to only a specific class
of securities of a company that may have less advantageous terms than securities
of the  company available  for  purchase by  nationals. Moreover,  the  national
policies  of certain countries may  restrict investment opportunities in issuers
or  industries  deemed  sensitive  to  national  interests.  In  addition,  some
countries  require  governmental  approval for  the  repatriation  of investment
income, capital or  the proceeds of  securities sales by  foreign investors.  In
addition,  if there is a deterioration in a country's balance of payments or for
other reasons, a country may impose restrictions on foreign capital  remittances
abroad.  The Government Income Fund, the  Strategic Income Fund or the Portfolio
could be adversely affected by  delays in, or a  refusal to grant, any  required
governmental  approval for repatriation, as well as  by the application to it of
other restrictions on investments.
 
    NON-UNIFORM CORPORATE DISCLOSURE STANDARDS AND GOVERNMENTAL
REGULATION. Foreign companies are subject to accounting, auditing and  financial
standards  and requirements that differ, in some cases significantly, from those
applicable to U.S. companies. In particular, the assets, liabilities and profits
appearing on the  financial statements  of such a  company may  not reflect  its
financial  position or results of operations in  the way they would be reflected
had such financial statements  been prepared in  accordance with U.S.  generally
accepted  accounting  principles. Most  of the  foreign  securities held  by the
Government Income Fund, the Strategic Income  Fund or the Portfolio will not  be
registered  with the  SEC or  regulators of  any foreign  country, nor  will the
issuers thereof be subject to the SEC's reporting requirements. Thus, there will
be less
 
                  Statement of Additional Information Page 16
<PAGE>
                            AIM GLOBAL INCOME FUNDS
available information concerning most foreign issuers of securities held by  the
Government  Income Fund,  the Strategic  Income Fund  and the  Portfolio than is
available concerning U.S. issuers. In  instances where the financial  statements
of an issuer are not deemed to reflect accurately the financial situation of the
issuer,  the Sub-adviser  will take appropriate  steps to  evaluate the proposed
investment, which may include on-site inspection of the issuer, interviews  with
its   management  and   consultations  with   accountants,  bankers   and  other
specialists. There is  substantially less publicly  available information  about
foreign  companies  than  there are  reports  and ratings  published  about U.S.
companies and  the U.S.  Government. In  addition, where  public information  is
available, it may be less reliable than such information regarding U.S. issuers.
Issuers  of securities in foreign jurisdictions are generally not subject to the
same degree of regulation as  are U.S. issuers with  respect to such matters  as
restrictions  on market  manipulation, insider trading  rules, shareholder proxy
requirements and timely disclosure of information.
 
    CURRENCY FLUCTUATIONS. Because  the Funds  and the  Portfolio, under  normal
circumstances,  will invest  substantial portions of  their total  assets in the
securities of foreign issuers which  are denominated in foreign currencies,  the
strength  or weakness  of the U.S.  dollar against such  foreign currencies will
account for part of  each Fund's and the  Portfolio's investment performance.  A
decline  in the value  of any particular  currency against the  U.S. dollar will
cause a decline  in the U.S.  dollar value  of each Fund's  and the  Portfolio's
holdings  of securities  and cash denominated  in such  currency and, therefore,
will cause an overall decline in their  respective net asset values and any  net
investment  income  and  capital  gains  derived  from  such  securities  to  be
distributed in U.S. dollars to shareholders of the Funds. Moreover, if the value
of the foreign currencies in which a  Fund or the Portfolio receives its  income
declines  relative to the U.S. dollar between  the receipt of the income and the
making of  Fund distributions,  the Fund  or the  Portfolio may  be required  to
liquidate securities in order to make distributions if the Fund or the Portfolio
has insufficient cash in U.S. dollars to meet distribution requirements.
 
The  rate of exchange between the U.S. dollar and other currencies is determined
by several factors including  the supply and  demand for particular  currencies,
central  bank efforts to support particular currencies, the relative movement of
interest rates and  pace of  business activity in  the other  countries and  the
United  States, and other economic and  financial conditions affecting the world
economy.
 
Although the Funds and the Portfolio value  their assets daily in terms of  U.S.
dollars,  they do not intend to convert holdings of foreign currencies into U.S.
dollars on a daily basis.  The Funds and the Portfolio  will do so from time  to
time,  and  investors  should be  aware  of  the costs  of  currency conversion.
Although foreign exchange dealers  do not charge a  fee for conversion, they  do
realize  a profit based on the difference ("spread") between the prices at which
they are buying and selling various currencies. Thus, a dealer may offer to sell
a foreign  currency to  a Fund  at one  rate, while  offering a  lesser rate  of
exchange should the Fund desire to sell that currency to the dealer.
 
    ADVERSE  MARKET CHARACTERISTICS. Securities  of many foreign  issuers may be
less liquid and their  prices more volatile than  securities of comparable  U.S.
issuers.  In  addition, foreign  securities  markets and  brokers  generally are
subject to less governmental  supervision and regulation than  in the U.S.,  and
foreign  securities transactions usually are subject to fixed commissions, which
generally are  higher  than  negotiated commissions  on  U.S.  transactions.  In
addition,  foreign  securities  transactions  may  be  subject  to  difficulties
associated with the settlement of such transactions. Delays in settlement  could
result  in  temporary  periods  when  assets of  a  Fund  or  the  Portfolio are
uninvested and no  return is  earned thereon.  The inability  of a  Fund or  the
Portfolio  to make intended security purchases  due to settlement problems could
cause it to miss attractive opportunities.  Inability to dispose of a  portfolio
security  due to settlement problems either could  result in losses to a Fund or
the Portfolio due to subsequent declines in value of the portfolio security  or,
if  the Fund or the Portfolio has entered  into a contract to sell the security,
could result  in  possible liability  to  the purchaser.  The  Sub-adviser  will
consider such difficulties when determining the allocation of each Fund's or the
Portfolio's  assets,  although  the  Sub-adviser  does  not  believe  that  such
difficulties  will  have  a  material  adverse  effect  on  the  Funds'  or  the
Portfolio's portfolio trading activities.
 
The  Funds and the Portfolio may use foreign custodians, which may involve risks
in addition to those related to the  use of U.S. custodians. Such risks  include
uncertainties   relating  to:  (i)  determining  and  monitoring  the  financial
strength, reputation and  standing of  the foreign  custodian; (ii)  maintaining
appropriate  safeguards to protect  the Funds' and  the Portfolio's investments;
and (iii) possible  difficulties in  obtaining and  enforcing judgments  against
such custodians.
 
    WITHHOLDING  TAXES. Each  Fund's and  the Portfolio's  net investment income
from foreign issuers may be subject to withholding taxes by the foreign issuer's
country, thereby reducing the Fund's and the Portfolio's income or delaying  the
receipt of income where those taxes may be recaptured. See "Taxes."
 
                  Statement of Additional Information Page 17
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
    CONCENTRATION. To the extent a Theme Portfolio invests a significant portion
of its assets in securities of issuers located in a particular country or region
of  the world, such Portfolio may be subject to greater risks and may experience
greater volatility than a fund that is more broadly diversified geographically.
 
    SPECIAL CONSIDERATIONS AFFECTING WESTERN  EUROPEAN COUNTRIES. The  countries
that  are members of the European Economic Community ("Common Market") (Belgium,
Denmark, France,  Germany,  Greece,  Ireland,  Italy,  Luxembourg,  Netherlands,
Portugal,  Spain, and the United Kingdom)  eliminated certain import tariffs and
quotas and  other trade  barriers with  respect  to one  another over  the  past
several  years. The Sub-adviser  believes that this  deregulation should improve
the prospects  for economic  growth in  many Western  European countries.  Among
other  things, the deregulation could enable  companies domiciled in one country
to avail  themselves  of lower  labor  costs  existing in  other  countries.  In
addition,  this deregulation could benefit companies domiciled in one country by
opening additional  markets for  their goods  and services  in other  countries.
Since,  however, it is not  clear what the exact form  or effect of these Common
Market reforms  will be  on business  in  Western Europe,  it is  impossible  to
predict  the long-term  impact of  the implementation  of these  programs on the
securities owned by a Fund.
 
    SPECIAL CONSIDERATIONS  AFFECTING  RUSSIA AND  EASTERN  EUROPEAN  COUNTRIES.
Investing  in Russia  and Eastern European  countries involves a  high degree of
risk and special considerations not  typically associated with investing in  the
United  States securities markets, and  should be considered highly speculative.
Such risks include: (1)  delays in settling portfolio  transactions and risk  of
loss  arising out of the system of  share registration and custody; (2) the risk
that it may be impossible  or more difficult than  in other countries to  obtain
and/or  enforce a  judgement; (3) pervasiveness  of corruption and  crime in the
economic system; (4) currency exchange rate volatility and the lack of available
currency hedging instruments; (5) higher rates of inflation (including the  risk
of   social  unrest  associated  with   periods  of  hyper-inflation)  and  high
unemployment; (6) controls on foreign investment and local practices disfavoring
foreign investors and limitations on  repatriation of invested capital,  profits
and  dividends, and on  a fund's ability  to exchange local  currencies for U.S.
dollars; (7) political instability and social unrest and violence; (8) the  risk
that  the governments of Russia and Eastern European countries may decide not to
continue to support the economic reform programs implemented recently and  could
follow  radically different political and/or  economic policies to the detriment
of investors,  including non-market-oriented  policies such  as the  support  of
certain  industries at the expense of other sectors or investors, or a return to
the centrally planned economy that existed  when such countries had a  communist
form of government; (9) the financial condition of companies in these countries,
including large amounts of inter-company debt which may create a payments crisis
on a national scale; (10) dependency on exports and the corresponding importance
of  international trade; (11)  the risk that  the tax system  in these countries
will not  be reformed  to prevent  inconsistent, retroactive  and/or  exorbitant
taxation; and (12) the underdeveloped nature of the securities markets.
 
    SPECIAL CONSIDERATIONS AFFECTING JAPAN. Japan's economic growth has declined
significantly  since 1990. The general government position has deteriorated as a
result of weakening economic  growth and stimulative  measures taken to  support
economic  activity and to  restore financial stability.  Although the decline in
interest  rates  and  fiscal  stimulation   packages  have  helped  to   contain
recessionary  forces, uncertainties remain. Japan is also heavily dependent upon
international trade, so its  economy is especially  sensitive to trade  barriers
and  disputes.  Japan has  had difficult  relations  with its  trading partners,
particularly the United States, where the trade imbalance is the greatest. It is
possible that  trade sanctions  and other  protectionist measures  could  impact
Japan adversely in both the short and the long term.
 
The  common  stocks  of many  Japanese  companies trade  at  high price-earnings
ratios. Differences  in accounting  methods  make it  difficult to  compare  the
earnings  of  Japanese companies  with those  of  companies in  other countries,
especially in the  U.S. In  general, however, reported  net income  in Japan  is
understated  relative to  U.S. accounting standards  and this is  one reason why
price-earnings  ratios  of  the  stocks   of  Japanese  companies  have   tended
historically  to be  higher than  those for  U.S. stocks.  In addition, Japanese
companies have  tended to  have  higher growth  rates  than U.S.  companies  and
Japanese  interest rates  have generally  been lower than  in the  U.S., both of
which factors tend to result in  lower discount rates and higher  price-earnings
ratios in Japan than in the U.S.
 
The  Japanese securities  markets are  less regulated  than those  in the United
States. Evidence has emerged from time to time of distortion of market prices to
serve political or other purposes.  Shareholders' rights are not always  equally
enforced.  In addition, Japan's banking  industry is undergoing problems related
to bad loans and declining values in real estate.
 
    SPECIAL CONSIDERATIONS AFFECTING  PACIFIC REGION COUNTRIES.  Certain of  the
risks  associated with international investments  are heightened for investments
in Pacific region  countries. For  example, some  of the  currencies of  Pacific
region  countries  have experienced  steady  devaluations relative  to  the U.S.
dollar, and major  adjustments have been  made periodically in  certain of  such
currencies. Certain countries, such as India, face serious exchange constraints.
Jurisdictional disputes also
 
                  Statement of Additional Information Page 18
<PAGE>
                            AIM GLOBAL INCOME FUNDS
exist  between South Korea and North Korea. In addition, the Funds may invest in
Hong Kong, which reverted to Chinese Administration on July 1, 1997. Investments
in Hong  Kong may  be  subject to  expropriation, national,  nationalization  or
confiscation,  in which  case a  Fund could lose  its entire  investment in Hong
Kong. In addition, the reversion of Hong Kong also presents a risk that the Hong
Kong dollar will be devalued and a risk of possible loss of investor  confidence
in Hong Kong's currency, stock market and assets.
 
    SPECIAL  CONSIDERATIONS  AFFECTING  LATIN  AMERICAN  COUNTRIES.  Most  Latin
American countries have experienced substantial,  and in some periods  extremely
high,  rates of  inflation for many  years. Inflation and  rapid fluctuations in
inflation rates have had and may continue  to have very negative effects on  the
economies  and securities markets  of certain Latin  American countries. Certain
Latin American countries are also among the largest debtors to commercial  banks
and foreign governments. At times certain Latin American countries have declared
moratoria  on  the payment  of principal  and/or interest  on external  debt. In
addition, certain  Latin  American  securities  markets  have  experienced  high
volatility in recent years.
 
Latin  American countries may  also close certain sectors  of their economies to
equity investments  by foreigners.  Further  due to  the absence  of  securities
markets  and  publicly  owned corporations  and  due to  restrictions  on direct
investment by foreign entities,  investments may only be  made in certain  Latin
American   countries  solely   or  primarily   through  governmentally  approved
investment vehicles or companies.
 
Certain Latin American countries may have managed currencies that are maintained
at artificial levels to the U.S. dollar rather than at levels determined by  the
market.  This type  of system can  lead to  sudden and large  adjustments in the
currency which, in turn,  can have a disruptive  and negative effect on  foreign
investors.  For example, in late  1994, the value of  the Mexican peso lost more
than one-third of its value relative to the U.S. dollar.
 
    SPECIAL CONSIDERATIONS AFFECTING EMERGING MARKETS. The Strategic Income Fund
and the Portfolio may invest in  debt securities in emerging markets.  Investing
in  securities in emerging countries may  entail greater risks than investing in
debt securities in  developed countries.  These risks include  (i) less  social,
political and economic stability; (ii) the small current size of the markets for
such  securities and the  currently low or nonexistent  volume of trading, which
result in a  lack of liquidity  and in greater  price volatility; (iii)  certain
national  policies  which  may  restrict the  Strategic  Income  Fund's  and the
Portfolio's investment opportunities,  including restrictions  on investment  in
issuers  or  industries deemed  sensitive  to national  interests;  (iv) foreign
taxation; and  (v) the  absence  of developed  structures governing  private  or
foreign  investment  or  allowing for  judicial  redress for  injury  to private
property.
 
Settlement mechanisms in emerging securities  markets may be less efficient  and
reliable  than in  more developed markets.  In such  emerging securities markets
there may be share registration and delivery delays or failures.
 
Many emerging market countries have experienced substantial, and in some periods
extremely  high,  rates  of  inflation  for  many  years.  Inflation  and  rapid
fluctuations in inflation rates and corresponding currency devaluations have had
and  may  continue to  have  negative effects  on  the economies  and securities
markets of certain emerging market countries.
 
                  Statement of Additional Information Page 19
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                             INVESTMENT LIMITATIONS
 
- --------------------------------------------------------------------------------
 
Each Fund and the Portfolio has adopted the following investment limitations  as
fundamental policies which may not be changed without approval by the holders of
the lesser of (i) 67% of that Fund's shares or the total beneficial interests of
the Portfolio represented at a meeting at which more than 50% of the outstanding
shares  of  the Fund  or the  total  beneficial interests  of the  Portfolio are
represented, or (ii) more than 50% of the outstanding shares of the Fund or  the
total  beneficial interests of  the Portfolio. Whenever the  High Income Fund is
requested to vote on  a change in the  investment limitations of the  Portfolio,
the  Fund will  hold a meeting  of its shareholders  and will cast  its votes as
instructed by its shareholders.
 
                             GOVERNMENT INCOME FUND
 
The Government Income Fund may not:
 
        (1) Purchase any security if, as a result of that purchase, 25% or  more
    of the Fund's total assets would be invested in securities of issuers having
    their  principal business activities in the  same industry, except that this
    limitation does not  apply to securities  issued or guaranteed  by the  U.S.
    government, its agencies or instrumentalities;
 
        (2)  Purchase or sell real estate, except that investments in securities
    of issuers  that invest  in real  estate and  investments in  mortgage-based
    securities,  mortgage  participations  or  other  instruments  supported  by
    interests in real estate are not subject to this limitation, and except that
    the Fund may exercise rights  under agreements relating to such  securities,
    including  the right to  enforce security interests and  to hold real estate
    acquired by  reason  of such  enforcement  until  that real  estate  can  be
    liquidated in an orderly manner;
 
        (3)  Engage in the business of underwriting securities of other issuers,
    except to the extent that the Fund might be considered an underwriter  under
    the  federal securities laws in connection with its disposition of portfolio
    securities;
 
        (4) Make loans, except through loans of portfolio securities or  through
    repurchase  agreements, provided that  for purposes of  this limitation, the
    acquisition of bonds, debentures, other  debt securities or instruments,  or
    participations  or  other interests  therein  and investments  in government
    obligations, commercial paper, certificates of deposit, bankers' acceptances
    or similar instruments will not be considered the making of a loan;
 
        (5) Issue senior securities or  borrow money, except as permitted  under
    the  1940 Act and then not  in excess of 33 1/3%  of the Fund's total assets
    (including  the  amount  borrowed  but   reduced  by  any  liabilities   not
    constituting  borrowings) at the time of the borrowing, except that the Fund
    may borrow up to  an additional 5%  of its total  assets (not including  the
    amount borrowed) for temporary or emergency purposes; or
 
        (6)  Purchase or sell  physical commodities, but  the Fund may purchase,
    sell or enter into financial options and futures, forward and spot  currency
    contracts,  swap transactions  and other  financial contracts  or derivative
    instruments.
 
Notwithstanding any other investment policy of the Fund, the Fund may invest all
of  its  investable  assets  (cash,   securities  and  receivables  related   to
securities)  in an  open-end management investment  company having substantially
the same investment objective, policies and limitations as the Fund.
 
For purposes  of the  Fund's concentration  policy contained  in limitation  (1)
above,  the Fund intends to comply with  the SEC staff positions that securities
issued or  guaranteed  as  to  principal and  interest  by  any  single  foreign
government or any supranational organizations in the aggregate are considered to
be securities of issuers in the same industry.
 
The  following  investment  policies  of  the  Government  Income  Fund  are not
fundamental policies  and may  be changed  by  vote of  the Company's  Board  of
Directors without shareholder approval. The Fund may not:
 
        (1)  Borrow  money to  purchase securities  or  borrow money  except for
    temporary or emergency purposes.  While borrowings exceed  5% of the  Fund's
    total assets, the Fund will not make any additional investments;
 
        (2)  Invest in securities of an issuer if the investment would cause the
    Fund to own more than 10% of any class of securities of any one issuer;
 
                  Statement of Additional Information Page 20
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
        (3) Purchase securities  on margin,  provided that the  Fund may  obtain
    short-term  credits as may  be necessary for the  clearance of purchases and
    sales of securities,  and further  provided that  the Fund  may make  margin
    deposits  in  connection  with its  use  of financial  options  and futures,
    forward and spot currency contracts,  swap transactions and other  financial
    contracts or derivative instruments;
 
        (4) Enter into a futures contract, if, as a result thereof, more than 5%
    of  the Fund's total assets  (taken at market value  at the time of entering
    into the contract) would be committed to margin on such futures contracts;
 
        (5) Purchase securities for which there is no readily available  market,
    or  enter into repurchase  agreements or purchase  time deposits maturing in
    more than seven days, or  purchase OTC options or  hold assets set aside  to
    cover OTC options written by the Fund, if immediately after and as a result,
    the  value of  such securities  would exceed, in  the aggregate,  15% of the
    Fund's net assets; or
 
        (6) Mortgage, pledge, or  hypothecate any of  its assets, provided  that
    this  shall not apply to  the transfer of securities  in connection with any
    permissible borrowing  or  to  collateral arrangements  in  connection  with
    permissible activities.
 
                             STRATEGIC INCOME FUND
 
The Strategic Income Fund may not:
 
        (1)  Purchase any security if, as a result of that purchase, 25% or more
    of the Fund's total assets would be invested in securities of issuers having
    their principal business activities in  the same industry, except that  this
    limitation  does not  apply to securities  issued or guaranteed  by the U.S.
    government, its agencies or instrumentalities;
 
        (2) Purchase or sell real estate, except that investments in  securities
    of  issuers that  invest in  real estate  and investments  in mortgage-based
    securities,  mortgage  participations  or  other  instruments  supported  by
    interests in real estate are not subject to this limitation, and except that
    the  Fund may exercise rights under  agreements relating to such securities,
    including the right to  enforce security interests and  to hold real  estate
    acquired  by  reason  of such  enforcement  until  that real  estate  can be
    liquidated in an orderly manner;
 
        (3) Engage in the business of underwriting securities of other  issuers,
    except  to the extent that the Fund might be considered an underwriter under
    the federal securities laws in connection with its disposition of  portfolio
    securities;
 
        (4)  Make loans, except through loans of portfolio securities or through
    repurchase agreements, provided  that for purposes  of this limitation,  the
    acquisition  of bonds, debentures, other  debt securities or instruments, or
    participations or  other interests  therein  and investments  in  government
    obligations, commercial paper, certificates of deposit, bankers' acceptances
    or similar instruments will not be considered the making of a loan;
 
        (5)  Issue senior securities or borrow  money, except as permitted under
    the 1940 Act and then  not in excess of 33  1/3% of the Fund's total  assets
    (including   the  amount  borrowed  but   reduced  by  any  liabilities  not
    constituting borrowings) at the time of the borrowing, except that the  Fund
    may  borrow up to  an additional 5%  of its total  assets (not including the
    amount borrowed) for temporary or emergency purposes; or
 
        (6) Purchase or sell  physical commodities, but  the Fund may  purchase,
    sell  or enter into financial options and futures, forward and spot currency
    contracts, swap  transactions and  other financial  contracts or  derivative
    instruments.
 
Notwithstanding any other investment policy of the Fund, the Fund may invest all
of   its  investable  assets  (cash,   securities  and  receivables  related  to
securities) in an  open-end management investment  company having  substantially
the same investment objective, policies and limitations as the Fund.
 
For  purposes of  the Fund's  concentration policy  contained in  limitation (1)
above, the Fund intends to comply  with the SEC staff positions that  securities
issued  or  guaranteed  as  to  principal and  interest  by  any  single foreign
government or any supranational organizations in the aggregate are considered to
be securities of issuers in the same industry.
 
The  following  investment  policies  of  the  Strategic  Income  Fund  are  not
fundamental  policies  and may  be changed  by  vote of  the Company's  Board of
Directors without shareholder approval. The Fund may not:
 
        (1) Invest more than 15% of its total assets in illiquid securities;
 
        (2)  Borrow  money  to  purchase  securities  and  will  not  invest  in
    securities  of an issuer if the investment  would cause the Fund to own more
    than 10% of any  class of securities of  any one issuer (provided,  however,
    that the Fund
 
                  Statement of Additional Information Page 21
<PAGE>
                            AIM GLOBAL INCOME FUNDS
    may invest all of its investable assets in an open-end management investment
    company  with substantially  the same  investment objectives,  policies, and
    limitations as the Fund.);
 
        (3) Invest  more  than  10% of  its  total  assets in  shares  of  other
    investment  companies and invest more than 5% of its total assets in any one
    investment company  or  acquire  more  than 3%  of  the  outstanding  voting
    securities  of any one investment company  (provided, however, that the Fund
    may invest all of its investable assets in an open-end management investment
    company with  substantially the  same investment  objectives, policies,  and
    limitations as the Fund);
 
        (4)  Purchase securities  on margin, provided  that the  Fund may obtain
    short-term credits as may  be necessary for the  clearance of purchases  and
    sales  of securities,  and further  provided that  the Fund  may make margin
    deposits in  connection  with its  use  of financial  options  and  futures,
    forward  and spot currency contracts,  swap transactions and other financial
    contracts or derivative instruments;
 
        (5) Enter into a futures contract, if, as a result thereof, more than 5%
    of the Fund's total assets  (taken at market value  at the time of  entering
    into  the contract) would be committed  to margin on such futures contracts;
    or
 
        (6) Mortgage, pledge, or  hypothecate any of  its assets, provided  that
    this  shall not apply to  the transfer of securities  in connection with any
    permissible borrowing  or  to  collateral arrangements  in  connection  with
    permissible activities.
 
                       HIGH INCOME FUND AND THE PORTFOLIO
 
The High Income Fund and the Portfolio each may not:
 
        (1)  Purchase any security if, as a result of that purchase, 25% or more
    of the Fund's total assets would be invested in securities of issuers having
    their principal business activities in  the same industry, except that  this
    limitation  does not  apply to securities  issued or guaranteed  by the U.S.
    government, its agencies or instrumentalities;
 
        (2) Purchase or sell real estate, except that investments in  securities
    of  issuers that  invest in  real estate  and investments  in mortgage-based
    securities,  mortgage  participations  or  other  instruments  supported  by
    interests in real estate are not subject to this limitation, and except that
    the  Fund may exercise rights under  agreements relating to such securities,
    including the right to  enforce security interests and  to hold real  estate
    acquired  by  reason  of such  enforcement  until  that real  estate  can be
    liquidated in an orderly manner;
 
        (3) Purchase or sell  physical commodities, but  the Fund may  purchase,
    sell  or enter into financial options and futures, forward and spot currency
    contracts, swap  transactions and  other financial  contracts or  derivative
    instruments;
 
        (4)  Engage in the business of underwriting securities of other issuers,
    except to the extent that the Fund might be considered an underwriter  under
    the  federal securities laws in connection with its disposition of portfolio
    securities;
 
        (5) Make loans, except through loans of portfolio securities or  through
    repurchase  agreements, provided that  for purposes of  this limitation, the
    acquisition of bonds, debentures, other  debt securities or instruments,  or
    participations  or  other interests  therein  and investments  in government
    obligations, commercial paper, certificates of deposit, bankers' acceptances
    or similar instruments will not be considered the making of a loan; or
 
        (6) Issue senior securities or  borrow money, except as permitted  under
    the  1940 Act and then not  in excess of 33 1/3%  of the Fund's total assets
    (including  the  amount  borrowed  but   reduced  by  any  liabilities   not
    constituting  borrowings) at the time of the borrowing, except that the Fund
    may borrow up to  an additional 5%  of its total  assets (not including  the
    amount borrowed) for temporary or emergency purposes.
 
For purposes of the Fund's and the Portfolio's concentration policy contained in
limitation  (1) above, they intend  to comply with the  SEC staff positions that
securities issued  or guaranteed  as to  principal and  interest by  any  single
foreign  government  or any  supranational  organizations in  the  aggregate are
considered to be securities of issuers in the same industry.
 
The following investment policies of the High Income Fund and the Portfolio  are
not  fundamental policies and may  be changed by vote  of the Company's Board of
Directors or the Portfolio's Board of Trustees without shareholder approval. The
Fund and the Portfolio each may not:
 
                  Statement of Additional Information Page 22
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
        (1) Invest in securities of an issuer if the investment would cause  the
    Fund or the Portfolio to own more than 10% of any class of securities of any
    one  issuer  (provided,  however,  that  the  Fund  may  invest  all  of its
    investable  assets  in  an  open-end  management  investment  company   with
    substantially the same investment objectives as the Fund);
 
        (2)  Invest  in  companies  for the  purpose  of  exercising  control or
    management  (provided,  however,  that  the  Fund  may  invest  all  of  its
    investable   assets  in  an  open-end  management  investment  company  with
    substantially the same investment objectives as the Fund);
 
        (3) Enter into a futures contract, an option on a futures contract or an
    option on foreign currency traded on a CFTC-regulated exchange, in each case
    other than for BONA FIDE hedging purposes  (as defined by the CFTC), if  the
    aggregate  initial margin  and premiums required  to establish  all of those
    positions (excluding the amount by which options are "in-the-money") exceeds
    5% of the  liquidation value  of the  Fund's or  the Portfolio's  portfolio,
    after  taking into account  unrealized profits and  unrealized losses on any
    contracts the Fund or the Portfolio has entered into;
 
        (4) Invest  more  than  10% of  its  total  assets in  shares  of  other
    investment  companies and invest more than 5% of its total assets in any one
    investment company  or  acquire  more  than 3%  of  the  outstanding  voting
    securities  of any one investment company  (provided, however, that the Fund
    may invest all of its investable assets in an open-end management investment
    company with substantially the same investment objectives as the Fund);
 
        (5) Purchase securities  on margin,  provided that the  Fund may  obtain
    short-term  credits as may  be necessary for the  clearance of purchases and
    sales of securities,  and further  provided that  the Fund  may make  margin
    deposits  in  connection  with its  use  of financial  options  and futures,
    forward and spot currency contracts,  swap transactions and other  financial
    contracts or derivative instruments; or
 
        (6)  Mortgage, pledge, or  hypothecate any of  its assets, provided that
    this shall not apply  to the transfer of  securities in connection with  any
    permissible  borrowing  or  to collateral  arrangements  in  connection with
    permissible activities.
 
Investors should refer to the Prospectus for further information with respect to
each Fund's investment objectives, which may not be changed without the approval
of shareholders and the Portfolio's investment objectives, which may be  changed
without  the  approval  of  investors in  the  Portfolio,  and  other investment
policies and techniques, which may be changed without shareholder approval.
 
                  Statement of Additional Information Page 23
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                      EXECUTION OF PORTFOLIO TRANSACTIONS
 
- --------------------------------------------------------------------------------
 
Subject to  policies  established  by  the Company's  Board  of  Directors,  the
Sub-adviser  is  responsible  for the  execution  of the  Government  Income and
Strategic Income  Funds'  and the  Portfolio's  portfolio transactions  and  the
selection  of broker/ dealers that execute  such transactions on behalf of these
Funds and the Portfolio.  In executing transactions,  the Sub-adviser seeks  the
best  net results for the  Government Income and Strategic  Income Funds and the
Portfolio, taking  into  account  such  factors  as  the  price  (including  the
applicable brokerage commission or dealer spread), size of the order, difficulty
of  execution  and operational  facilities of  the  firm involved.  Although the
Sub-adviser generally seeks reasonably competitive commission rates and spreads,
payment of the lowest  commission or spread is  not necessarily consistent  with
the  best net  results. While  the Funds  and the  Portfolio may  engage in soft
dollar arrangements for research services, as described below, neither the Funds
nor the Portfolio has any obligation to deal with any broker/dealer or group  of
broker/ dealers in the execution of portfolio transactions.
 
Debt  securities generally are traded  on a "net" basis  with a dealer acting as
principal for its own account without a stated commission, although the price of
the security  usually  includes  a  profit  to  the  dealer.  U.S.  and  foreign
government  securities and money market instruments  generally are traded in the
OTC markets. In underwritten  offerings, securities usually  are purchased at  a
fixed  price which  includes an  amount of  compensation to  the underwriter. On
occasion, securities may be purchased directly from an issuer, in which case  no
commissions  or discounts  are paid.  Broker/dealers may  receive commissions on
futures, currency and options transactions.
 
Consistent with the interests  of the Funds and  the Portfolio, the  Sub-adviser
may  select  brokers  to  execute  the  Funds'  and  the  Portfolio's  portfolio
transactions on the basis of the research and brokerage services they provide to
the Sub-adviser for  its use in  managing the  Funds and the  Portfolio and  its
other  advisory accounts. Such services may include furnishing analyses, reports
and information concerning issuers, industries, securities, geographic  regions,
economic  factors and trends,  portfolio strategy, and  performance of accounts;
and  effecting  securities  transactions  and  performing  functions  incidental
thereto  (such  as clearance  and settlement).  Research and  brokerage services
received from such brokers are in addition to, and not in lieu of, the  services
required  to be  performed by  the Sub-adviser  under investment  management and
administration contracts. A commission paid to  such brokers may be higher  than
that  which another qualified  broker would have charged  for effecting the same
transaction, provided that the  Sub-adviser determines in  good faith that  such
commission  is reasonable in terms either  of that particular transaction or the
overall responsibility of the Sub-adviser to the Funds and the Portfolio and its
other clients and that the total commissions paid by the Funds and the Portfolio
will be reasonable in  relation to the  benefits received by  the Funds and  the
Portfolio  over  the long  term.  Research services  may  also be  received from
dealers who execute Fund transactions in OTC markets.
 
The Sub-adviser may allocate brokerage  transactions to broker/dealers who  have
entered  into arrangements under which the  broker/dealer allocates a portion of
the commissions paid by the Funds or the Portfolio toward payment of the  Funds'
or the Portfolio's expenses, such as transfer agent and custodian fees.
 
Investment  decisions for each  Fund and the Portfolio  and for other investment
accounts managed by  the Sub-adviser  are made  independently of  each other  in
light   of  differing   conditions.  However,   the  same   investment  decision
occasionally may be made for two or more of such accounts, including one or both
Funds and the  Portfolio. In  such cases, simultaneous  transactions may  occur.
Purchases  or sales are then allocated as to  price or amount in a manner deemed
fair and equitable to all accounts  involved. While in some cases this  practice
could  have a detrimental effect upon the price  or value of the security as far
as the Funds  and the Portfolio  are concerned, in  other cases the  Sub-adviser
believes that coordination and the ability to participate in volume transactions
will be beneficial to the Funds and the Portfolio.
 
Under  a policy adopted by the Company's  Board of Directors and the Portfolio's
Board of Trustees, and subject to the policy of obtaining the best net  results,
the  Sub-adviser may consider a broker/dealer's sale  of the shares of the Funds
and the  other funds  for which  AIM  or the  Sub-adviser serves  as  investment
manager  in  selecting  brokers  and  dealers  for  the  execution  of portfolio
transactions. This  policy does  not  imply a  commitment to  execute  portfolio
transactions  through all broker/dealers that sell  shares of the Funds and such
other funds.
 
                  Statement of Additional Information Page 24
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
Each  Fund  and  the  Portfolio  contemplates  purchasing  most  foreign  equity
securities  in  over-the-counter  markets  or  stock  exchanges  located  in the
countries in  which the  respective  principal offices  of  the issuers  of  the
various  securities are located, if that is the best available market. The fixed
commissions paid  in  connection  with  most  such  foreign  stock  transactions
generally  are higher than negotiated commissions on United States transactions.
There generally is less government  supervision and regulation of foreign  stock
exchanges  and brokers than  in the United  States. Foreign security settlements
may  in  some  instances  be  subject  to  delays  and  related   administrative
uncertainties.
 
Foreign equity securities may be held by a Fund and the Portfolio in the form of
American  Depository  Receipts  ("ADRs"), American  Depository  Shares ("ADSs"),
Continental  Depository  Receipts  ("CDRs")  or  European  Depository   Receipts
("EDRs")  or securities convertible into  foreign equity securities. ADRs, ADSs,
CDRs and EDRs may be listed on stock exchanges, or traded in the OTC markets  in
the  United States or  Europe, as the  case may be.  ADRs, like other securities
traded in the United States, will be subject to negotiated commission rates. The
foreign and domestic debt securities and  money market instruments in which  the
Funds and the Portfolio may invest generally are traded in the OTC markets.
 
The  Funds and  the Portfolio  contemplate that,  consistent with  the policy of
obtaining the best net results, brokerage transactions may be conducted  through
certain companies that are affiliated with AIM or the Sub-adviser. The Company's
Board  of Directors has  adopted procedures in conformity  with Rule 17e-1 under
the 1940 Act to  ensure that all brokerage  commissions paid to such  affiliates
are  reasonable  and  fair  in the  context  of  the market  in  which  they are
operating. Any such transactions will be effected and related compensation  paid
only  in accordance with applicable SEC  regulations. For the fiscal years ended
October 31,  1997,  1996  and  1995,  the  Portfolio  paid  aggregate  brokerage
commissions  of $0,  $86,600 and  $0, respectively.  For the  fiscal years ended
October 31,  1997, 1996  and 1995,  the Government  Income Fund  paid  aggregate
brokerage  commissions of $4,987,  $24,663 and $0,  respectively. For the fiscal
years ended October  31, 1997,  1996 and 1995,  the Strategic  Income Fund  paid
aggregate brokerage commissions of $6,177, $85,404 and $0, respectively.
 
PORTFOLIO TRADING AND TURNOVER
Each  Fund and the  Portfolio engages in portfolio  trading when the Sub-adviser
concludes that the sale of a security  owned by a Fund and the Portfolio  and/or
the  purchase of another  security of better value  can enhance principal and/or
increase income. A  security may  be sold to  avoid any  prospective decline  in
market  value, or a security may be  purchased in anticipation of a market rise.
Consistent with  each  Fund's  and  the  Portfolio's  investment  objectives,  a
security  also may be sold and a comparable security purchased coincidentally in
order to take  advantage of what  is believed to  be a disparity  in the  normal
yield  and price relationship between the two securities. Although the Funds and
the Portfolio  generally do  not intend  to trade  for short-term  profits,  the
securities  in each Fund's  and the Portfolio's portfolio  will be sold whenever
the Sub-adviser  believes it  is appropriate  to do  so, without  regard to  the
length  of time a particular security may  have been held. Portfolio turnover is
calculated by dividing the lesser of sales or purchases of portfolio  securities
by  each Fund's or the Portfolio's  average month-end portfolio value, excluding
short-term  investments.  Higher  portfolio  turnover  involves  correspondingly
greater  brokerage commissions  and other transaction  costs that a  Fund or the
Portfolio will bear directly, and may  result in the realization of net  capital
gains  that  are  taxable  when distributed  to  each  Fund's  shareholders. The
portfolio turnover rates for the  Government Income Fund, Strategic Income  Fund
and the Portfolio the last two fiscal years were as follows:
 
<TABLE>
<CAPTION>
                                                                                              YEAR ENDED OCT.    YEAR ENDED
                                                                                                 31, 1997       OCT. 31, 1996
                                                                                              ---------------  ---------------
<S>                                                                                           <C>              <C>
Government Income Fund......................................................................          241%             268%
Strategic Income Fund.......................................................................          149%             177%
High Income Portfolio.......................................................................          214%             290%
</TABLE>
 
                  Statement of Additional Information Page 25
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                        DIRECTORS AND EXECUTIVE OFFICERS
 
- --------------------------------------------------------------------------------
 
The  Company's Directors and Executive Officers and the Portfolio's Trustees and
Executive Officers are listed below. The  term "Directors" as used below  refers
to the Company's Directors and the Portfolio's Trustees collectively.
 
<TABLE>
<CAPTION>
NAMES, POSITION(S) WITH THE                    PRINCIPAL OCCUPATIONS AND BUSINESS
COMPANY/PORTFOLIO AND ADDRESS                  EXPERIENCE FOR PAST 5 YEARS
- ---------------------------------------------  --------------------------------------------------------------------------------
<S>                                            <C>
William J. Guilfoyle*, 39                      Mr. Guilfoyle is President, GT Global, Inc. since 1995; Director, GT Global
Director, Chairman of the Board and President  since 1991; Senior Vice President and Director of Sales and Marketing, GT Global
50 California Street                           from May 1992 to April 1995; Vice President and Director of Marketing, GT Global
San Francisco, CA 94111                        from 1987 to 1992; Director, Liechtenstein Global Trust AG (holding company of
                                               the various international GT companies) Advisory Board since January 1996;
                                               Director, G.T. Global Insurance Agency ("G.T. Insurance") since 1996; President
                                               and Chief Executive Officer, G.T. Insurance since 1995; Senior Vice President
                                               and Director, Sales and Marketing, G.T. Insurance from April 1995 to November
                                               1995; Senior Vice President, Retail Marketing, G.T. Insurance from 1992 to 1993.
                                               Mr. Guilfoyle is also a trustee of each of the other investment companies
                                               registered under the 1940 Act that is sub-advised or sub-administered by the
                                               Sub-adviser.
 
C. Derek Anderson, 57                          Mr. Anderson is President, Plantagenet Capital Management, LLC (an investment
Director                                       partnership); Chief Executive Officer, Plantagenet Holdings, Ltd. (an investment
220 Sansome Street                             banking firm); Director, Anderson Capital Management, Inc. since 1988; Director,
Suite 400                                      PremiumWear, Inc. (formerly Munsingwear, Inc.) (a casual apparel company) and
San Francisco, CA 94104                        Director, "R" Homes, Inc. and various other companies. Mr. Anderson is also a
                                               trustee of each of the other investment companies registered under the 1940 Act
                                               that is sub-advised or sub-administered by the Sub-adviser.
 
Frank S. Bayley, 58                            Mr. Bayley is a partner of the law firm of Baker & McKenzie, and serves as a
Director                                       Director and Chairman of C.D. Stimson Company (a private investment company).
Two Embarcadero Center                         Mr. Bayley is also a trustee of each of the other investment companies
Suite 2400                                     registered under the 1940 Act that is sub-advised or sub- administered by the
San Francisco, CA 94111                        Sub-adviser.
 
Arthur C. Patterson, 54                        Mr. Patterson is Managing Partner of Accel Partners (a venture capital firm). He
Director                                       also serves as a director of Viasoft and PageMart, Inc. (both public software
428 University Avenue                          companies), as well as several other privately held software and communications
Palo Alto, CA 94301                            companies. Mr. Patterson is also a trustee of each of the other investment
                                               companies registered under the 1940 Act that is sub-advised or sub-administered
                                               by the Sub-adviser.
 
Ruth H. Quigley, 63                            Miss Quigley is a private investor. From 1984 to 1986, she was President of
Director                                       Quigley Friedlander & Co., Inc. (a financial advisory services firm). Miss
1055 California Street                         Quigley is also a trustee of each of the other investment companies registered
San Francisco, CA 94108                        under the 1940 Act that is sub-advised or sub-administered by the Sub-adviser.
</TABLE>
 
- --------------
*  Mr. Guilfoyle is an "interested person" of the Company as defined by the 1940
Act due to his affiliation with the Sub-adviser.
 
                  Statement of Additional Information Page 26
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
<TABLE>
<CAPTION>
NAMES, POSITION(S) WITH THE                    PRINCIPAL OCCUPATIONS AND BUSINESS
COMPANY/PORTFOLIO AND ADDRESS                  EXPERIENCE FOR PAST 5 YEARS
- ---------------------------------------------  --------------------------------------------------------------------------------
<S>                                            <C>
John J. Arthur+, 53                            Director, Senior Vice President and Treasurer, A I M Advisors, Inc.; Vice
Vice President                                 President and Treasurer, A I M Management Group Inc., A I M Capital Management,
                                               Inc., A I M Distributors, Inc., A I M Fund Services, Inc. and Fund Management
                                               Company.
 
Kenneth W. Chancey, 52                         Senior Vice President -- Mutual Fund Accounting, the Sub-adviser since 1997;
Vice President and                             Vice President -- Mutual Fund Accounting, the Sub-adviser from 1992 to 1997.
Principal Accounting Officer
50 California Street
San Francisco, CA 94111
 
Melville B. Cox, 54                            Vice President and Chief Compliance Officer, A I M Advisors, Inc., A I M Capital
Vice President                                 Management, Inc., A I M Distributors, Inc., A I M Fund Services, Inc. and Fund
                                               Management Company.
 
Gary T. Crum, 50                               Director and President, A I M Capital Management, Inc.; Director and Senior Vice
Vice President                                 President, A I M Management Group Inc. and A I M Advisors, Inc.; and Director,
                                               A I M Distributors, Inc. and AMVESCAP PLC.
 
Robert H Graham, 51                            Director, President and Chief Executive Officer, A I M Management Group Inc.;
Vice President                                 Director and President, A I M Advisors, Inc.; Director and Senior Vice
                                               President, A I M Capital Management, Inc., A I M Distributors, Inc., A I M Fund
                                               Services, Inc. and Fund Management Company; Director, AMVESCAP PLC; Chairman of
                                               the Board of Directors and President, INVESCO Holdings Canada Inc.; and
                                               Director, AIM Funds Group Canada Inc. and INVESCO G.P. Canada Inc.
 
Helge K. Lee, 52                               Chief Legal and Compliance Officer -- North America, the Sub-adviser since
Vice President                                 October 1997; Executive Vice President of the Asset Management Division of
50 California Street                           Liechtenstein Global Trust since October 1996; Senior Vice President, General
San Francisco, CA 94111                        Counsel and Secretary of LGT Asset Management, Inc., INVESCO (NY), Inc., GT
                                               Global, GT Global Investor Services, Inc. and G.T. Insurance from May 1994 to
                                               October 1996; Senior Vice President, General Counsel and Secretary of
                                               Strong/Corneliuson Management, Inc. and Secretary of each of the Strong Funds
                                               from October 1991 through May 1994.
 
Carol F. Relihan+, 43                          Director, Senior Vice President, General Counsel and Secretary, A I M Advisors,
Vice President                                 Inc.; Vice President, General Counsel and Secretary, A I M Management Group
                                               Inc.; Director, Vice President and General Counsel, Fund Management Company;
                                               Vice President and General Counsel, A I M Fund Services, Inc.; and Vice
                                               President, A I M Capital Management, Inc. and A I M Distributors, Inc.
 
Dana R. Sutton, 39                             Vice President and Fund Controller, A I M Advisors, Inc.; and Assistant Vice
Vice President and                             President and Assistant Treasurer, Fund Management Company.
Assistant Treasurer
</TABLE>
 
- ------------------
+  Mr. Arthur and Ms. Relihan are married to each other.
 
                  Statement of Additional Information Page 27
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The  Board of Directors has  a Nominating and Audit  Committee, composed of Miss
Quigley and Messrs.  Anderson, Bayley  and Patterson, which  is responsible  for
nominating  persons to serve  as Directors, reviewing audits  of the Company and
its funds  and  recommending firms  to  serve  as independent  auditors  of  the
Company. Each of the Directors and Officers of the Company is also a Director or
Trustee  and Officer of AIM Investment Portfolios, Inc., AIM Floating Rate Fund,
AIM Series Trust, AIM Growth Series, AIM Eastern Europe Fund, GT Global Variable
Investment Trust,  GT  Global  Variable  Investment  Series,  Global  Investment
Portfolio,  Floating  Rate  Portfolio  and  Growth  Portfolio,  which  also  are
registered  investment  companies  advised  by   AIM  and  sub-advised  by   the
Sub-adviser  or an affiliate thereof. Each  Director, Trustee and Officer serves
in total as  a Director,  Trustee and  Officer, respectively,  of 12  registered
investment  companies  with  47  series  managed  or  administered  by  AIM  and
sub-advised or sub-administered by the Sub-adviser.  Each Director who is not  a
director,  officer or employee  of the Sub-adviser or  any affiliated company is
paid aggregate fees of $5,000 a year plus $300 per Fund for each meeting of  the
Board  attended, and reimbursed travel and other expenses incurred in connection
with attendance  at  such meetings.  Other  Directors and  Officers  receive  no
compensation  or expense  reimbursement from  the Company.  For the  fiscal year
October 31, 1997, Mr. Anderson, Mr. Bayley, Mr. Patterson and Miss Quigley,  who
are  not directors, officers, or employees  of the Sub-adviser or any affiliated
companies, received total compensation of $38,650, $38,650, $27,850 and $38,650,
respectively, from the Company's series  Funds for their services as  Directors.
For  the  fiscal year  ended October  31,  1997, Mr.  Anderson, Mr.  Bayley, Mr.
Patterson and Miss Quigley, who are not directors, officers or employees of  the
Sub-adviser  or  any other  affiliated company,  received total  compensation of
$117,304, $114,386,  $88,350 and  $111,688,  respectively, from  the  investment
companies  managed or administered by AIM and sub-advised or sub-administered by
the Sub-adviser for which he  or she serves as a  Director or Trustee. Fees  and
expenses  disbursed to the Directors contained  no accrued or payable pension or
retirement benefits. As  of May 7,  1998, the Officers  and Directors and  their
families  as a group owned in the  aggregate beneficially or of record less than
1% of the outstanding shares of the Funds or of all the Company's series in  the
aggregate.
 
                  Statement of Additional Information Page 28
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                   MANAGEMENT
 
- --------------------------------------------------------------------------------
 
INVESTMENT MANAGEMENT AND ADMINISTRATION SERVICES
AIM  serves  as the  Government Income  Fund's and  the Strategic  Income Fund's
investment  manager  and  administrator  under  an  investment  management   and
administration  contract  between  the  Company  and  AIM  ("Company  Management
Contract"). The Sub-adviser serves as  the sub-adviser and sub-administrator  to
the  Government Income Fund  and Strategic Income Fund  under a Sub-Advisory and
Sub-Administration Contract  between AIM  and the  Sub-adviser  ("Sub-Management
Contract,"   and  together   with  the  Management   Contract,  the  "Management
Contracts"). AIM series as the Portfolio's investment manager and  administrator
under an Investment Management and Administration Contract between the Portfolio
and   AIM   ("Portfolio   Management   Contract")   (collectively,   "Management
Contracts").  The  Sub-adviser  serves   as  the  Portfolio's  sub-adviser   and
sub-administrator  under a Sub-Advisory and Sub-Administration Agreement between
AIM and the Sub-adviser ("Portfolio Management Sub-Contract," and together  with
the  Portfolio Management  Contract, the "Portfolio  Management Contracts"). AIM
serves as the High Income Fund's administrator under an Administration  Contract
("Administration  Contract") between the Company and AIM. The Sub-adviser serves
as sub-administrator to  each Feeder  Fund under  a sub-administration  contract
between  AIM and  the Sub-adviser  ("Administration Sub-Contract,"  and together
with  the  Administration   Contract,  the   "Administration  Contracts").   The
Administration Contracts will not be deemed advisory contracts, as defined under
the 1940 Act. As investment managers and administrators, AIM and the Sub-adviser
make  all investment  decisions for  the Government  Income Fund,  the Strategic
Income Fund and the  Portfolio, and as administrators,  AIM and the  Sub-adviser
administer  each Fund's and the Portfolio's affairs. Among other things, AIM and
the Sub-adviser  furnish  the  services  and pay  the  compensation  and  travel
expenses  of  persons who  perform the  executive, administrative,  clerical and
bookkeeping functions of the Company, the  Funds, and the Portfolio and  provide
suitable office space, necessary small office equipment and utilities.
 
The  Management Contracts may  be renewed for one-year  terms, provided that any
such renewal  has been  specifically  approved at  least  annually by:  (i)  the
Company's   Board  of  Directors  or  the  Portfolio's  Board  of  Trustees,  as
applicable, or  by the  vote of  a majority  of the  Fund's or  the  Portfolio's
outstanding  voting securities (as defined in the 1940 Act), and (ii) a majority
of  Directors  who  are  not  parties   to  the  Management  Contracts  or   the
Administration  Contracts,  as applicable  or "interested  persons" of  any such
party (as defined in the 1940 Act), cast  in person at a meeting called for  the
specific  purpose of voting  on such approval.  The Management Contracts provide
that with respect to the Government  Income Fund, the Strategic Income Fund  and
the  Portfolio and the Administration Contract provides that with respect to the
High Income  Fund either  the  Company, the  Portfolio or  each  of AIM  or  the
Sub-adviser  may terminate the  Management Contracts without  penalty upon sixty
days' written  notice to  the  other party.  The  Management Contracts  and  the
Administration   Contracts  terminate  automatically  in   the  event  of  their
assignment (as defined in the 1940 Act).
 
In each  of  the  last  three  fiscal years  the  Government  Income  Fund  paid
investment  management  and  administration  fees  to  the  Sub-adviser  in  the
following amounts:
 
<TABLE>
<CAPTION>
                                            YEAR ENDED OCT. 31,                                               AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1997.......................................................................................................   $ 2,403,043
1996.......................................................................................................     3,672,503
1995.......................................................................................................     4,946,971
</TABLE>
 
In each of the last three fiscal years the Strategic Income Fund paid investment
management and administration fees to the Sub-adviser in the following amounts:
 
<TABLE>
<CAPTION>
                                            YEAR ENDED OCT. 31,                                               AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1997.......................................................................................................   $ 3,474,804
1996.......................................................................................................     3,807,689
1995.......................................................................................................     4,293,053
</TABLE>
 
                  Statement of Additional Information Page 29
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
In each  of  the  last  three  fiscal years,  the  High  Income  Portfolio  paid
investment  management  and  administration  fees  to  the  Sub-adviser  in  the
following amounts:
 
<TABLE>
<CAPTION>
                                          YEAR ENDED OCTOBER 31,                                              AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1997.......................................................................................................   $ 2,971,167
1996.......................................................................................................     3,014,924
1995.......................................................................................................     2,411,786
</TABLE>
 
In each of the  last three fiscal  years, the High  Income Fund paid  investment
management and administration fees to the Sub-adviser in the following amounts:
 
<TABLE>
<CAPTION>
                                          YEAR ENDED OCTOBER 31,                                              AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1997.......................................................................................................   $ 1,136,471
1996.......................................................................................................     1,015,220
1995.......................................................................................................       860,884
</TABLE>
 
DISTRIBUTION SERVICES
Each  Fund's Advisor Class  shares are offered  continuously through each Fund's
principal underwriter  and distributor,  AIM Distributors  on a  "best  efforts"
basis  pursuant to separate  distribution contracts between  the Company and AIM
Distributors without a sales charge or a contingent deferred sales charge.
 
TRANSFER AGENCY AND ACCOUNTING AGENCY SERVICES
The Transfer  Agent  has been  retained  by  the Funds  to  perform  shareholder
servicing,  reporting and general  transfer agent functions  for them. For these
services, the Transfer Agent  receives an annual maintenance  fee of $17.50  per
account,  a new account fee of $4.00 per account, a per transaction fee of $1.75
for all transactions other than exchanges and  a per exchange fee of $2.25.  The
Transfer  Agent also is  reimbursed by each Fund  for its out-of-pocket expenses
for such  items as  postage,  forms, telephone  charges, stationery  and  office
supplies.  The Sub-adviser serves  as each Fund's  pricing and accounting agent.
For the fiscal years ended  October 31, 1997, October  31, 1996 and October  31,
1995,  the Fund paid  accounting services fees to  the Sub-adviser of Government
Income Fund, Strategic Income Fund, and High Income Fund were $85,149,  $127,205
and $40,218; $123,309, $131,517 and $34,980; and $116,607, $101,697 and $22,563,
respectively.
 
EXPENSES OF THE FUNDS AND THE PORTFOLIO
Each  Fund  and  the  Portfolio  pays  all  expenses  not  assumed  by  AIM, the
Sub-adviser, AIM  Distributors  and other  agents.  These expenses  include,  in
addition  to the advisory, distribution, transfer agency, pricing and accounting
agent and brokerage fees  discussed above, legal  and audit expenses,  custodian
fees,  directors' fees, organizational  fees, fidelity bond  and other insurance
premiums,  taxes,  extraordinary  expenses  and  the  expenses  of  reports  and
prospectuses  sent  to existing  investors.  The allocation  of  general Company
expenses and expenses shared by the Funds and other funds organized as series of
the Company are allocated  on a basis  deemed fair and  equitable, which may  be
based  on the  relative net assets  of the Funds  or the nature  of the services
performed and relative applicability to each Fund. Expenditures, including costs
incurred in connection with the purchase or sale of portfolio securities,  which
are  capitalized  in accordance  with  generally accepted  accounting principles
applicable to investment companies, are accounted  for as capital items and  not
as  expenses.  The ratio  of each  Fund's  and the  Portfolio's expenses  to its
relative net assets  can be expected  to be  higher than the  expense ratios  of
funds investing solely in domestic securities, since the cost of maintaining the
custody of foreign securities and the rate of investment management fees paid by
each Fund and the Portfolio generally are higher than the comparable expenses of
such other funds.
 
                  Statement of Additional Information Page 30
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                            VALUATION OF FUND SHARES
 
- --------------------------------------------------------------------------------
 
As  described in the Prospectus, each Fund's  net asset value per share for each
class of shares is determined  at the close of regular  trading on the New  York
Stock  Exchange  ("NYSE") (currently,  4:00 P.M.  Eastern time,  unless weather,
equipment failure or  other factors  contribute to an  earlier closing  business
time) on each business day the NYSE is open for business. Currently, the NYSE is
closed  on weekends and on certain days  relating to the following holidays: New
Year's Day, Martin Luther King Day, President's Day, Good Friday, Memorial  Day,
Independence Day, Labor Day, Thanksgiving Day and Christmas Day.
 
Each Fund's and the Portfolio's portfolio securities and other assets are valued
as follows:
 
Equity  securities, including  ADRs, ADSs  and EDRs,  which are  traded on stock
exchanges are valued at the last sale price on the exchange or in the  principal
over-the-counter  market in which such securities are traded, as of the close of
business on the day the  securities are being valued  or, lacking any sales,  at
the  last available bid price. In cases where securities are traded on more than
one exchange,  the securities  are  valued on  the  exchange determined  by  the
Sub-adviser to be the primary market.
 
Long-term  debt obligations are valued at  the mean of representative quoted bid
or asked prices for  such securities or,  if such prices  are not available,  at
prices  for securities of  comparable maturity, quality  and type; however, when
the Sub-adviser deems it appropriate, prices  obtained for the day of  valuation
from  a  bond pricing  service  will be  used.  Short-term debt  investments are
amortized to  maturity  based  on  their cost,  adjusted  for  foreign  exchange
translation, provided such valuations represent fair value.
 
Options  on  indices,  securities and  currencies  purchased  by a  Fund  or the
Portfolio are valued at their last bid  price in the case of listed options  or,
in  the case of OTC options at the  average of the last bid prices obtained from
dealers, unless a  quotation from only  one dealer is  available, in which  case
only  that dealer's price will  be used. When market  quotations for futures and
options on futures held by a Fund or the Portfolio are readily available,  those
positions will be valued based upon such quotations.
 
Securities  and  other  assets  for  which  market  quotations  are  not readily
available (including restricted securities which  are subject to limitations  as
to  their sale) are valued at fair value as determined in good faith by or under
the direction  of the  Company's Board  of Directors.  The valuation  procedures
applied  in any specific instance are likely to vary from case to case. However,
consideration is generally  given to the  financial position of  the issuer  and
other  fundamental analytical data relating to  the investment and to the nature
of the restrictions on disposition of the securities (including any registration
expenses that might be borne by  the Fund in connection with such  disposition).
In addition, specific factors also are generally considered, such as the cost of
the  investment, the  market value  of any  unrestricted securities  of the same
class (both at the time of purchase and  at the time of valuation), the size  of
the  holding, the prices  of any recent  transactions or offers  with respect to
such securities and any available analysts' reports regarding the issuer.
 
The fair value  of any  other assets  is added to  the value  of all  securities
positions  to arrive at the  value of a Fund's  or the Portfolio's total assets.
The Fund's or the Portfolio's liabilities, including accruals for expenses,  are
deducted  from  its  total assets.  Once  the total  value  of a  Fund's  or the
Portfolio's net assets is so determined, that value is then divided by the total
number of  shares  outstanding  (excluding treasury  shares),  and  the  result,
rounded to the nearest cent, is the net asset value per share.
 
Any  assets or liabilities initially denominated  in terms of foreign currencies
are translated into U.S. dollars at the official exchange rate or at the mean of
the current bid and asked prices of such currencies against the U.S. dollar last
quoted by a major  bank that is  a regular participant  in the foreign  exchange
market  or on the basis of a pricing  service that takes into account the quotes
provided by a  number of such  major banks.  If none of  these alternatives  are
available  or none are deemed to provide a suitable methodology for converting a
foreign currency into U.S. dollars, the Board of Directors, in good faith,  will
establish a conversion rate for such currency.
 
European, Far Eastern or Latin American securities trading may not take place on
all  days on which  the NYSE is  open. Further, trading  takes place in Japanese
markets on certain Saturdays and in various foreign markets on days on which the
 
                  Statement of Additional Information Page 31
<PAGE>
                            AIM GLOBAL INCOME FUNDS
NYSE is not  open. Consequently, the  calculation of the  Funds' respective  net
asset   values  therefore  may   not  take  place   contemporaneously  with  the
determination of the prices  of securities held by  the Funds. Events  affecting
the  values of portfolio securities that occur between the time their prices are
determined and the close of regular trading on the NYSE will not be reflected in
the Funds' net asset values unless the Sub-adviser, under the supervision of the
Company's Board  of  Directors,  determines  that  the  particular  event  would
materially  affect net asset value. As a result, a Fund's net asset value may be
significantly affected  by  such  trading  on days  when  a  shareholder  cannot
purchase or redeem shares of the Fund.
 
- --------------------------------------------------------------------------------
 
                       INFORMATION RELATING TO SALES AND
                                  REDEMPTIONS
 
- --------------------------------------------------------------------------------
 
PAYMENT AND TERMS OF OFFERING
Payment  for  Advisor Class  shares  of a  fund  purchased should  accompany the
purchase order, or funds should be wired  to the Transfer Agent as described  in
the  Prospectus. Payment for Fund  shares, other than by  wire transfer, must be
made by check or money order drawn on  a U.S. bank. Checks or money orders  must
be payable in U.S. dollars.
 
As a condition of this offering, if an order to purchase Advisor Class shares is
cancelled  due  to nonpayment  (for  example, because  a  check is  returned for
insufficient funds), the person who made  the order will be responsible for  any
loss incurred by a Fund by reason of such cancellation, and if such purchaser is
a  shareholder, the Fund shall have the authority as agent of the shareholder to
redeem shares in his or  her account at their  then-current net asset value  per
share  to reimburse  that Fund for  the loss incurred.  Investors whose purchase
orders have been  cancelled due  to nonpayment  may be  prohibited from  placing
future orders.
 
Each  Fund  reserves the  right at  any time  to waive  or increase  the minimum
requirements applicable to initial or subsequent investments with respect to any
person or class of persons. An order to purchase shares is not binding on a Fund
until it  has  been  confirmed  in  writing by  the  Transfer  Agent  (or  other
arrangements  made with the Fund, in the  case of orders utilizing wire transfer
of funds, as described above) and payment has been received. To protect existing
shareholders, each Fund reserves the right to reject any offer for a purchase of
shares by any individual.
 
INDIVIDUAL RETIREMENT ACCOUNTS ("IRAS") AND OTHER TAX-DEFERRED PLANS
 
IRAS: If you have earned income from employment (including self-employment), you
can contribute each year to an IRA up  to the lesser of (1) $2,000 for  yourself
or  $4,000  for  you and  your  spouse,  regardless of  whether  your  spouse is
employed, or (2) 100% of compensation. Some  individuals may be able to take  an
income tax deduction for the contribution. Regular contributions may not be made
for  the year  you become 70  1/2 or  thereafter. Unless your  and your spouse's
earnings exceed  a certain  level, you  also may  establish an  "education  IRA"
and/or  a "Roth  IRA." Although  contributions to  these new  types of  IRAs are
nondeductible,  withdrawals   from  them   will   be  tax-free   under   certain
circumstances.  Please  consult  your  tax  adviser  for  more  information. IRA
applications are available from brokers or AIM Distributors.
 
ROLLOVER IRAS: Individuals who  receive distributions from qualified  retirement
plans  (other than  required distributions) and  who wish to  keep their savings
growing tax-deferred  can  roll  over  (or make  a  direct  transfer  of)  their
distribution  to a  Rollover IRA. These  accounts can also  receive rollovers or
transfers from an existing  IRA. If an "eligible  rollover distribution" from  a
qualified  employer-sponsored retirement plan is not  directly rolled over to an
IRA (or  certain  qualified plans),  withholding  at the  rate  of 20%  will  be
required  for federal income tax purposes.  A distribution from a qualified plan
that is not an "eligible  rollover distribution," including a distribution  that
is  one of series of substantially equal periodic payments, generally is subject
to regular wage withholding or withholding at the rate of 10% (depending on  the
type  and  amount  of  the  distribution), unless  you  elect  not  to  have any
withholding apply. Please consult your tax adviser for more information.
 
SEP-IRAS: Simplified  employee  pension  plans ("SEPs"  or  "SEP-IRAs")  provide
self-employed  individuals (and any eligible employees) with benefits similar to
Keogh plans (I.E.,  self-employed individual retirement  plans) or Code  Section
401(k)   plans,  but  with  fewer   administrative  requirements  and  therefore
potentially lower annual administration expenses.
 
                  Statement of Additional Information Page 32
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
CODE SECTION 403(B)(7) CUSTODIAL ACCOUNTS: Employees of public schools and  most
other  tax-exempt organizations can make  pre-tax salary reduction contributions
to these accounts.
 
PROFIT-SHARING  (INCLUDING   SECTION   401(K))  AND   MONEY   PURCHASE   PENSION
PLANS:  Corporations  and other  employers can  sponsor these  qualified defined
contribution plans  for  their employees.  A  Section  401(k) plan,  a  type  of
profit-sharing  plan, additionally permits the eligible, participating employees
to make  pre-tax salary  reduction  contributions to  the  plan (up  to  certain
limits).
 
SIMPLE  PLANS: Employers with  no more than  100 employees that  do not maintain
another retirement  plan  may  establish  a Savings  Incentive  Match  Plan  for
Employees  ("SIMPLE") either  as separate  IRAs or as  part of  a Section 401(k)
plan. SIMPLEs are not  subject to the  complicated nondiscrimination rules  that
generally apply to qualified retirement plans.
 
EXCHANGES BETWEEN FUNDS
Advisor  Class shares of each Fund may  be exchanged for Advisor Class shares of
the corresponding class  of other AIM/GT  Funds, based on  their respective  net
asset  values  without  imposition  of  any  sales  charges,  provided  that the
registration remains identical. The exchange privilege is not an option or right
to purchase shares but is permitted under the current policies of the respective
AIM/GT Funds. The privilege may be discontinued or changed at any time by any of
those funds upon sixty days' prior notice to the shareholders of the fund and is
available only  in  states  where  the exchange  may  be  made  legally.  Before
purchasing  shares through the exercise of the exchange privilege, a shareholder
should obtain and read a copy of the prospectus of the fund to be purchased  and
should consider its investment objective(s).
 
TELEPHONE REDEMPTIONS
A  corporation or partnership  wishing to utilize  telephone redemption services
must submit a "Corporate Resolution" or "Certificate of Partnership"  indicating
the names, titles and the required number of signatures of persons authorized to
act  on  its  behalf.  The  certificate must  be  signed  by  a  duly authorized
officer(s) and, in the  case of a corporation,  the corporate seal affixed.  All
shareholders  may request that  redemption proceeds be  transmitted by bank wire
directly to  the  shareholder's predesignated  account  at a  domestic  bank  or
savings institution, if the proceeds are at least $500. Costs in connection with
the  administration of this service, including wire charges, currently are borne
by the  appropriate Fund.  Proceeds of  less than  $500 will  be mailed  to  the
shareholder's  registered address  of record. The  Funds and  the Transfer Agent
reserve the right to refuse any  telephone instructions and may discontinue  the
aforementioned redemption options upon fifteen days' written notice.
 
SUSPENSION OF REDEMPTION PRIVILEGES
The  Funds may suspend redemption privileges or postpone the date of payment for
more than seven days after a redemption order is received during any period  (1)
when  the NYSE is closed  other than customary weekend  and holiday closings, or
trading on the NYSE is restricted as directed by the SEC, (2) when an  emergency
exists, as defined by the SEC, which makes it not reasonably practicable for the
Funds to dispose of securities owned by them or fairly to determine the value of
their assets, or (3) as the SEC may otherwise permit.
 
REDEMPTIONS IN KIND
It  is possible  that conditions  may arise  in the  future which  would, in the
opinion of the Company's Board of Directors,  make it undesirable for a Fund  to
pay  for all redemptions in cash. In such cases, the Board may authorize payment
to be  made in  portfolio securities  or  other property  of a  Fund,  so-called
"redemptions  in kind." Payment of  redemptions in kind will  be made in readily
marketable securities.  Such  securities  would  be valued  at  the  same  value
assigned  to  them in  computing  the net  asset  value per  share. Shareholders
receiving such  securities  would incur  brokerage  costs in  selling  any  such
securities  so received. However,  despite the foregoing,  the Company has filed
with the SEC an election pursuant to  Rule 18f-1 under the 1940 Act. This  means
that  each  Fund  will pay  in  cash all  requests  for redemption  made  by any
shareholder of record, limited in amount with respect to each shareholder during
any ninety-day period to the lesser of $250,000 or 1% of the net asset value  of
a  Fund at the beginning of such period. This election is irrevocable so long as
Rule 18f-1 remains in effect, unless  the SEC by order upon application  permits
the withdrawal of such election.
 
                  Statement of Additional Information Page 33
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                     TAXES
 
- --------------------------------------------------------------------------------
 
TAXATION OF THE FUNDS
Each  Fund is treated as a separate corporation for federal income tax purposes.
To continue to qualify for treatment  as a regulated investment company  ("RIC")
under  the Code, each Fund must distribute  to its shareholders for each taxable
year at least 90% of its investment company taxable income (consisting generally
of net investment income, net short-term capital gain and net gains from certain
foreign  currency  transactions)  ("Distribution  Requirement")  and  must  meet
several  additional requirements. With respect  to each Fund, these requirements
include the following: (1) the Fund must derive at least 90% of its gross income
each taxable year from dividends, interest, payments with respect to  securities
loans  and gains  from the  sale or other  disposition of  securities or foreign
currencies, or other income  (including gains from  options, Futures or  Forward
Contracts)  derived with respect  to its business of  investing in securities or
those currencies ("Income Requirement").;  (2) at the close  of each quarter  of
the  Fund's taxable year, at least 50% of  the value of its total assets must be
represented by cash and  cash items, U.S.  government securities, securities  of
other RICs and other securities, with these other securities limited, in respect
of  any one issuer,  to an amount  that does not  exceed 5% of  the value of the
Fund's total assets and that  does not represent more  than 10% of the  issuer's
outstanding  voting securities;  and (3)  at the  close of  each quarter  of the
Fund's taxable year, not more than 25% of  the value of its total assets may  be
invested  in securities (other than U.S. government securities or the securities
of other RICs) of any  one issuer. The High Income  Fund, as an investor in  the
Portfolio, is deemed to own a proportionate share of the Portfolio's assets, and
to  earn  a  proportionate share  of  the  Portfolio's income,  for  purposes of
determining whether  that Fund  satisfies the  requirements described  above  to
qualify as a RIC.
 
Each Fund will be subject to a nondeductible 4% excise tax ("Excise Tax") to the
extent  it fails to distribute by the end of any calendar year substantially all
of its  ordinary income  for  that year  and capital  gain  net income  for  the
one-year period ending on October 31 of that year, plus certain other amounts.
 
See  "Taxation of Certain  Investment Activities" below for  a discussion of the
tax consequences to the High Income Fund of hedging transactions engaged in, and
investments in passive foreign investment companies ("PFICS") and other  foreign
securities by, the Portfolio.
 
TAXATION OF THE PORTFOLIO -- GENERAL
The Portfolio is treated as a partnership for federal income tax purposes and is
not  a "publicly traded partnership." As a  result, the Portfolio is not subject
to federal income  tax; instead, the  High Income  Fund, as an  investor in  the
Portfolio,  is required to  take into account in  determining its federal income
tax liability its share of the Portfolio's income, gains, losses, deductions and
credits, without regard to whether it  has received any cash distributions  from
the Portfolio. The Portfolio also is not subject to Delaware income or franchise
tax.
 
Because,  as  noted  above,  the  High  Income Fund  will  be  deemed  to  own a
proportionate share of the Portfolio's assets, and to earn a proportionate share
of the  Portfolio's  income,  for  purposes of  determining  whether  that  Fund
satisfies the requirements to qualify as a RIC, the Portfolio intends to conduct
its  operations so that the High Income Fund will be able to continue to satisfy
all those requirements.
 
Distributions to the High Income Fund from the Portfolio (whether pursuant to  a
partial  or complete  withdrawal or  otherwise) will  not result  in that Fund's
recognition of any gain or loss for federal income tax purposes, except that (1)
gain will be recognized to the extent any cash that is distributed exceeds  that
Fund's  basis for  its interest  in the  Portfolio before  the distribution, (2)
income or gain will be recognized if the distribution is in liquidation of  that
Fund's entire interest in the Portfolio and includes a disproportionate share of
any  unrealized  receivables  held  by  the  Portfolio,  and  (3)  loss  will be
recognized  if  a  liquidation  distribution  consists  solely  of  cash  and/or
unrealized  receivables. The  High Income Fund's  basis for its  interest in the
Portfolio generally will equal the amount of cash and the basis of any  property
that  Fund  invests in  the Portfolio,  increased  by that  Fund's share  of the
Portfolio's net income and gains and decreased by (a) the amount of cash and the
basis of any property the Portfolio distributes to that Fund and (b) that Fund's
share of the Portfolio's losses.
 
                  Statement of Additional Information Page 34
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
TAXATION OF CERTAIN INVESTMENT ACTIVITIES
For purposes of the following  discussion, "Investor Fund" means the  Government
Income Fund, the Strategic Income Fund or the Portfolio.
 
    FOREIGN TAXES Dividends and interest received by an Investor Fund, and gains
realized  thereby, may be subject to income, withholding, or other taxes imposed
by foreign countries and  U.S. possessions ("foreign  taxes") that would  reduce
the yield and/or total return on its securities. Tax conventions between certain
countries  and the United States may reduce or eliminate foreign taxes, however,
and many foreign countries do  not impose taxes on  capital gains in respect  of
investments  by foreign  investors. If more  than 50%  of the value  of a Fund's
total assets (taking  into account, in  the case  of the High  Income Fund,  its
proportionate  share of the Portfolio's assets) at the close of its taxable year
consists of securities of  foreign corporations, the Fund  will be eligible  to,
and may, file an election with the Internal Revenue Service that will enable its
shareholders,  in effect, to receive the benefit  of the foreign tax credit with
respect to any foreign taxes paid by it (taking into account, in the case of the
High Income  Fund, its  proportionate share  of any  foreign taxes  paid by  the
Portfolio)  (a "Fund's foreign  taxes"). Pursuant to the  election, a Fund would
treat those taxes  as dividends paid  to its shareholders  and each  shareholder
would  be required to (1) include in gross income, and treat as paid by him, his
proportionate share of the  Fund's foreign taxes, (2)  treat his share of  those
taxes  and of  any dividend  paid by  the Fund  that represents  its income from
foreign and U.S. possessions sources (taking  into account, in the case of  High
Income  Fund,  its  proportionate share  of  the Portfolio's  income  from those
sources) as his own income  from those sources and  (3) either deduct the  taxes
deemed  paid by him in  computing his taxable income  or, alternatively, use the
foregoing information in calculating the foreign tax credit against his  federal
income tax. Each Fund will report to its shareholders shortly after each taxable
year their respective shares of the Fund's foreign taxes and income (taking into
account,  in the case  of the High  Income Fund, its  proportionate share of the
Portfolio's income) from sources within  foreign countries and U.S.  possessions
if  it makes this  election. Pursuant to  the Taxpayer Relief  Act of 1997 ("Tax
Act"), individuals who have no more  than $300 ($600 for married persons  filing
jointly)  of creditable  foreign taxes  included on Form  1099 and  all of whose
foreign source income is  "qualified passive income" may  elect each year to  be
exempt  from the extremely complicated foreign tax credit limitation and will be
able to claim a foreign tax credit without having to file the detailed Form 1116
that otherwise is required.
 
    PASSIVE FOREIGN INVESTMENT COMPANIES  Each Investor Fund  may invest in  the
stock  of PFICs.  A PFIC is  a foreign  corporation -- other  than a "controlled
foreign corporation" (I.E., a  foreign corporation in which,  on any day  during
its  taxable year, more than  50% of the total voting  power of all voting stock
therein or the total value of  all stock therein is owned, directly,  indirectly
or  constructively,  by  "U.S.  shareholders,"  defined  as  U.S.  persons  that
individually own, directly, indirectly or  constructively, at least 10% of  that
voting power) as to which the Investor Fund is a U.S. shareholder (effective for
their taxable year beginning November 1, 1998) -- that, in general, meets either
of  the following tests: (1) at least 75%  of its gross income is passive or (2)
an average of at least 50% of its assets produce, or are held for the production
of, passive  income. Under  certain circumstances,  a Fund  will be  subject  to
federal  income tax  on a part  (or, in  the case of  the High  Income Fund, its
proportionate share of a part) of any "excess distribution" received by it  (or,
in the case of the High Income Fund, by the Portfolio) on the stock of a PFIC or
of  any  gain  from its  (or,  in  the case  of  the  High Income  Fund,  by the
Portfolio's)  disposition  of  the  stock  (collectively  "PFIC  income"),  plus
interest  thereon, even  if the  Fund distributes the  PFIC income  as a taxable
dividend to its shareholders. The balance of the PFIC income will be included in
the Fund's  investment company  taxable  income and,  accordingly, will  not  be
taxable   to  the  Fund  to  the  extent  it  distributes  that  income  to  its
shareholders.
 
If an  Investor Fund  invests  in a  PFIC and  elects  to treat  the PFIC  as  a
"qualified  electing  fund"  ("QEF"), then  in  lieu  of the  foregoing  tax and
interest obligation, the Investor  Fund (or, in the  case of the Portfolio,  the
High  Income Fund) would be required to  include in income each taxable year its
pro rata  share (taking  into account,  in the  case of  High Income  Fund,  its
proportionate  share of  the Portfolio's pro  rata share) of  the QEF's ordinary
earnings and net  capital gain (I.E.  the excess of  net long-term capital  gain
over  net  short-term  capital loss)  --  which  most likely  would  have  to be
distributed by the Investor  Fund (or, in  the case of  the Portfolio, the  High
Income Fund) to satisfy the Distribution Requirement and avoid imposition of the
Excise Tax -- even if those earnings and gain were not received thereby from the
QEF.  In most instances  it will be  very difficult, if  not impossible, to make
this election because of certain requirements thereof.
 
A holder of stock in any PFIC may  elect to include in ordinary income for  each
taxable  year beginning after 1997 the excess,  if any, of the fair market value
of the  stock over  the adjusted  basis  therein as  of the  end of  that  year.
Pursuant  to the election, a deduction (as  an ordinary, not capital, loss) also
will be allowed for the excess, if  any, of the holder's adjusted basis in  PFIC
stock over the fair market value thereof as of the taxable year-end, but only to
the  extent of any net mark-to-market gains  with respect to that stock included
in income  for prior  taxable years.  The adjusted  basis in  each PFIC's  stock
 
                  Statement of Additional Information Page 35
<PAGE>
                            AIM GLOBAL INCOME FUNDS
subject  to  the election  will be  adjusted  to reflect  the amounts  of income
included and deductions taken thereunder. Regulations proposed in 1992  provided
a similar election with respect to the stock of certain PFICs.
 
    OPTIONS,  FUTURES AND FOREIGN CURRENCY  TRANSACTIONS The Investor Fund's use
of hedging transactions, such  as selling (writing)  and purchasing options  and
Futures  Contracts and entering  into Forward Contracts,  involves complex rules
that will determine, for federal income tax purposes, the amount, character  and
timing  of recognition  of the  gains and  losses an  Investor Fund  realizes in
connection therewith. Gains from the  disposition of foreign currencies  (except
certain  gains  that may  be  excluded by  future  regulations), and  gains from
options, Futures and Forward Contracts derived by an Investor Fund with  respect
to  its business of investing in  securities or foreign currencies, will qualify
as permissible income under the Income  Requirement for that Investor Fund  (or,
in the case of the Portfolio, the High Income Fund).
 
Futures  and Forward  Contracts that  are subject  to section  1256 of  the Code
(other  than  those  that  are  part  of  a  "mixed  straddle")  ("Section  1256
Contracts") and that are held by an Investor Fund at the end of its taxable year
generally  will be  deemed to have  been sold at  that time at  market value for
federal income tax purposes. Sixty percent of any net gain or loss recognized on
these deemed sales, and  60% of any  net gain or loss  realized from any  actual
sales  of Section 1256 Contracts,  will be treated as  long-term capital gain or
loss, and the balance will be treated  as short-term capital gain or loss.  That
60%  portion  will qualify  for the  reduced maximum  tax rates  on noncorporate
taxpayers' net capital gain enacted by the Tax Act -- 20% (10% for taxpayers  in
the  15% marginal tax  bracket) for gain  recognized on capital  assets held for
more than  18  months  --  instead  of  the  28%  rate  in  effect  before  that
legislation,  which now  applies to gain  recognized on capital  assets held for
more than one year but not more than 18 months.
 
Section 988 of the Code also may apply to gains and losses from transactions  in
foreign  currencies, foreign-currency-denominated  debt securities  and options,
Futures and Forward  Contracts on  foreign currencies ("Section  988" gains  and
losses).  Section 988 gain or loss  generally is computed separately and treated
as ordinary income or  loss. In the  case of overlap  between sections 1256  and
988,  special provisions determine the character  and timing of any income, gain
or loss. Each  Investor Fund  attempts to  monitor section  988 transactions  to
minimize any adverse tax impact.
 
If  a Fund  has an  "appreciated financial  position" --  generally, an interest
(including an interest through an option,  Futures or Forward Contract or  short
sale) with respect to any stock, debt instrument (other than "straight debt") or
partnership  interest the fair market value  of which exceeds its adjusted basis
- -- and enters into  a "constructive sale" of  the same or substantially  similar
property,  the Fund will be treated as  having made an actual sale thereof, with
the result  that gain  will be  recognized  at that  time. A  constructive  sale
generally consists of a short sale, an offsetting notional principal contract or
Futures  or Forward Contract entered  into by the Fund  or a related person with
respect to  the same  or substantially  similar property.  In addition,  if  the
appreciated  financial  position is  itself  a short  sale  or such  a contract,
acquisition of the underlying property or substantially similar property will be
deemed a constructive sale.
 
The Strategic Income  Fund and  the Portfolio each  may acquire  zero coupon  or
other  securities issued  with original issue  discount ("OID"). As  a holder of
those securities, that Fund and the Portfolio (and, through it, the High  Income
Fund) each must include in its income the portion of the OID that accrues on the
securities  during the taxable year, even if no corresponding payment on them is
received during the year. Similarly, the Strategic Income Fund and the Portfolio
each must include in  its gross income securities  it receives as "interest"  on
payment-in-kind   securities.  Because   each  Fund   annually  must  distribute
substantially all of its  investment company taxable  income, including any  OID
and  other non-cash  income, to satisfy  the Distribution  Requirement and avoid
imposition of the Excise  Tax, either of  them may be  required in a  particular
year to distribute as a dividend an amount that is greater than the total amount
of cash it actually receives (or, in the case of the High Income Fund, its share
of   the  total  amount   of  cash  the   Portfolio  actually  receives).  Those
distributions will be made from the Fund's  (or, in the case of the High  Income
Fund,  its, or its share of the  Portfolio's) cash assets or, if necessary, from
the proceeds of sales of portfolio  securities. A Fund may (directly or  through
the  Portfolio) realize  capital gains or  losses from those  sales, which would
increase or decrease its  investment company taxable  income and/or net  capital
gain.
 
TAXATION OF THE FUNDS' SHAREHOLDERS
Dividends  and  other  distributions  declared  by a  Fund  in,  and  payable to
shareholders of record as  of a date  in, October, November  or December of  any
year  will  be  deemed  to have  been  paid  by  the Fund  and  received  by the
shareholders on December 31 of  that year if the  distributions are paid by  the
Fund  during  the following  January. Accordingly,  those distributions  will be
taxed to shareholders for the year in which that December 31 falls.
 
A portion  of the  dividends from  a Fund's  investment company  taxable  income
(whether  paid in cash or  reinvested in additional shares)  may be eligible for
the dividends-received deduction allowed  to corporations. The eligible  portion
may  not exceed the aggregate dividends received  by a Fund (directly or through
the Portfolio) from U.S. corporations.
 
                  Statement of Additional Information Page 36
<PAGE>
                            AIM GLOBAL INCOME FUNDS
However, dividends  received  by a  corporate  shareholder and  deducted  by  it
pursuant  to  the dividends-received  deduction  are subject  indirectly  to the
federal alternative minimum tax.
 
If Fund shares are sold at a loss  after being held for six months or less,  the
loss  will be treated as  long-term, instead of short-term,  capital loss to the
extent of any  capital gain  distributions received on  those shares.  Investors
also should be aware that if shares are purchased shortly before the record date
for  any dividend or other distribution, the shareholder will pay full price for
the shares and receive some portion of the price back as a taxable distribution.
 
Dividends paid by a  Fund to a shareholder  who, as to the  United States, is  a
nonresident  alien individual, nonresident alien fiduciary of a trust or estate,
foreign corporation, or  foreign partnership  ("foreign shareholder")  generally
will be subject to U.S. withholding tax (at a rate of 30% or lower treaty rate).
Withholding  will not apply, however, to a dividend  paid by a Fund to a foreign
shareholder that is "effectively connected with  the conduct of a U.S. trade  or
business,"  in which case the  reporting and withholding requirements applicable
to domestic taxpayers will apply. A distribution  of net capital gain by a  Fund
to  a foreign shareholder generally  will be subject to  U.S. federal income tax
(at the  rates applicable  to  domestic persons)  only  if the  distribution  is
"effectively  connected" or  the foreign  shareholder is  treated as  a resident
alien individual for federal income tax purposes.
 
The foregoing  is a  general  and abbreviated  summary  of certain  federal  tax
considerations  affecting  the  Fund's, their  shareholders  and  the Portfolio.
Investors are  urged  to  consult  their own  tax  advisers  for  more  detailed
information  and for  information regarding any  foreign, state  and local taxes
applicable to distributions received from the Fund.
 
- --------------------------------------------------------------------------------
 
                             ADDITIONAL INFORMATION
 
- --------------------------------------------------------------------------------
AIM was organized in 1976, and  along with its subsidiaries, manages or  advises
approximately  90 investment  company portfolios  encompassing a  broad range of
investment objectives.  AIM  is a  direct,  wholly owned  subsidiary  of A  I  M
Management  Group  Inc.  ("AIM Management"),  a  holding company  that  has been
engaged in  the  financial  services  business  since  1976.  AIM  is  the  sole
shareholder   of  the  Funds'  principal   underwriter,  AIM  Distributors.  AIM
Management is an indirect wholly owned subsidiary of AMVESCAP PLC, 11 Devonshire
Square, London, EC2M  4YR, England.  AMVESCAP PLC  and its  subsidiaries are  an
independent  investment management group that has  a significant presence in the
institutional and retail segment of the investment management industry in  North
America and Europe, and a growing presence in Asia.
 
CUSTODIAN
State  Street  Bank and  Trust Company  ("State  Street"), 225  Franklin Street,
Boston, MA 02110, acts as custodian  of each Fund's and the Portfolio's  assets.
State Street is authorized to establish and has established separate accounts in
foreign  currencies and to cause securities of the Funds and the Portfolio to be
held in separate accounts outside the  United States in the custody of  non-U.S.
banks.
 
INDEPENDENT ACCOUNTANTS
The  Funds' and  the Portfolio's independent  accountants are  Coopers & Lybrand
L.L.P., One  Post Office  Square,  Boston MA  02109.  Coopers &  Lybrand  L.L.P.
conducts audits of each Fund's and the Portfolio's financial statements, assists
in  the preparation of the  Funds' and the Portfolio's  federal and state income
tax returns and consults  with the Company,  the Funds and  the Portfolio as  to
matters  of  accounting,  regulatory  filings,  and  federal  and  state  income
taxation.
 
The audited financial statements of the Funds and the Portfolio included in this
Statement of  Additional Information  have been  examined by  Coopers &  Lybrand
L.L.P., as stated in their opinion appearing herein and are included in reliance
upon such opinion given upon the authority of that firm as experts in accounting
and auditing.
 
NAMES
Prior to May 29, 1998, AIM Global High Income Fund operated under the name of GT
Global High Income Fund; AIM Strategic Income Fund operated under the name of GT
Global  Strategic Income  Fund; and AIM  Global Government  Income Fund operated
under the name of GT Global Government Income Fund.
 
                  Statement of Additional Information Page 37
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                               INVESTMENT RESULTS
 
- --------------------------------------------------------------------------------
 
STANDARDIZED RETURNS
Each Fund's "Standardized Returns," as referred to in the Prospectus (see "Other
Information --  Performance  Information"  in the  Prospectus),  are  calculated
separately  for  Class A  and Advisor  Class  shares of  each Fund,  as follows:
Standardized Return (average annual total return ("T")) is computed by using the
ending redeeming value ("ERV")  of a hypothetical  initial investment of  $1,000
("P")  over  a period  of  years ("n")  according  to the  following  formula as
required by the SEC: P(1+T) to the (n)th power = ERV. The following  assumptions
will  be reflected in computations made in accordance with this formula: (1) for
Class A shares, deduction of the maximum  sales charge of 4.75% from the  $1,000
initial investment; (2) reinvestment of dividends and other distributions at net
asset  value  on the  reinvestment  date determined  by  the Company's  Board of
Directors; and (3) a complete redemption at the end of any period illustrated.
 
The Standardized  Returns  for the  Class  A and  Advisor  Class shares  of  the
Strategic  Income  Fund,  stated as  average  annualized total  returns  for the
periods shown, were:
 
<TABLE>
<CAPTION>
                                          STRATEGIC      STRATEGIC
                                           INCOME         INCOME
                                            FUND           FUND
PERIOD                                    (CLASS A)   (ADVISOR CLASS)
- ----------------------------------------  ---------   ---------------
<S>                                       <C>         <C>
Fiscal year ended Oct. 31, 1997.........    4.21%          9.86%
October 31, 1992 through Oct. 31,
 1997...................................   10.14%           n/a
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......     n/a          15.13%
March 29, 1988 (commencement of
 operations) through Oct. 31, 1997......    9.01%           n/a
</TABLE>
 
The Standardized  Returns  for the  Class  A and  Advisor  Class shares  of  the
Government  Income  Fund, stated  as average  annualized  total returns  for the
periods shown, were:
 
<TABLE>
<CAPTION>
                                          GOVERNMENT     GOVERNMENT
                                            INCOME         INCOME
                                             FUND           FUND
PERIOD                                    (CLASS A)    (ADVISOR CLASS)
- ----------------------------------------  ----------   ---------------
<S>                                       <C>          <C>
Fiscal year ended Oct. 31, 1997.........   (0.20)%          5.15%
Oct. 31, 1992 through Oct. 31, 1997.....    5.34%            n/a
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......     n/a            5.55%
March 29, 1988 (commencement of
 operations) through Oct. 31, 1997......    6.52%            n/a
</TABLE>
 
The Standardized Returns for the  Class A and Advisor  Class shares of the  High
Income  Fund, stated as average annualized  total returns for the periods shown,
were:
 
<TABLE>
<CAPTION>
                                            HIGH           HIGH
                                           INCOME         INCOME
                                            FUND           FUND
PERIOD                                    (CLASS A)   (ADVISOR CLASS)
- ----------------------------------------  ---------   ---------------
<S>                                       <C>         <C>
Fiscal year ended Oct. 31, 1997.........    9.03%         14.72%
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......     n/a          24.63%
Oct. 22, 1992 (commencement of
 operations) through Oct. 31, 1997......   15.85%           n/a
</TABLE>
 
NON-STANDARDIZED RETURNS
In  addition  to   Standardized  Returns,   each  Fund  also   may  include   in
advertisements,  sales  literature and  shareholder  reports other  total return
performance  data  ("Non-Standardized   Return").  Non-Standardized  Return   is
calculated  separately for Class A and Advisor Class shares of each Fund and may
be calculated according to several different formulas. Non-Standardized  Returns
may  be quoted  for the  same or different  time periods  for which Standardized
Returns are quoted. Non-Standardized Returns may  or may not take sales  charges
into  account; performance  data calculated without  taking the  effect of sales
charges into  account will  be higher  than data  including the  effect of  such
charges. Advisor Class are not subject to sales charges.
 
Aggregate Non-Standardized Return ("T") is computed by using the ending value of
the  account  ("VOA")  of  a hypothetical  initial  investment  of  $1,000 ("P")
according to the  following formula: T  = (VOA/P)-1. Aggregate  Non-Standardized
Return assumes reinvestment of dividends and other distributions.
 
                  Statement of Additional Information Page 38
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
The  aggregate Non-Standardized Returns (not  taking sales charges into account)
for the Class A and Advisor Class shares of the Strategic Income Fund, stated as
aggregate total returns for the periods shown, were:
 
<TABLE>
<CAPTION>
                                          STRATEGIC      STRATEGIC
                                           INCOME         INCOME
                                            FUND           FUND
PERIOD                                    (CLASS A)   (ADVISOR CLASS)
- ----------------------------------------  ---------   ---------------
<S>                                       <C>         <C>
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......      n/a         40.60%
March 29, 1988 (commencement of
 operations) through Oct. 31, 1997......   140.06%          n/a
</TABLE>
 
The aggregate Non-Standardized Returns (not  taking sales charges into  account)
for  the Class A and Advisor Class  shares of the Government Income Fund, stated
as aggregate total returns for the periods shown, were:
 
<TABLE>
<CAPTION>
                                          GOVERNMENT     GOVERNMENT
                                            INCOME         INCOME
                                             FUND           FUND
PERIOD                                    (CLASS A)    (ADVISOR CLASS)
- ----------------------------------------  ----------   ---------------
<S>                                       <C>          <C>
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......      n/a          13.96%
March 29, 1988 (commencement of
 operations) through Oct. 31, 1997......    92.49%           n/a
</TABLE>
 
The aggregate Non-Standardized Returns (not  taking sales charges into  account)
for  the Class  A and Advisor  Class shares of  the High Income  Fund, stated as
aggregate total returns for the periods shown, were:
 
<TABLE>
<CAPTION>
                                            HIGH           HIGH
                                           INCOME         INCOME
                                            FUND           FUND
PERIOD                                    (CLASS A)   (ADVISOR CLASS)
- ----------------------------------------  ---------   ---------------
<S>                                       <C>         <C>
May 31, 1995 (commencement of
 operations) through Oct. 31, 1997......     n/a          70.35%
Oct. 22, 1992 (commencement of
 operations) through Oct. 31, 1997......  119.88%           n/a
</TABLE>
 
YIELD
Each Fund may also include its current yield ("Yield") in advertisements,  sales
literature  and shareholder reports.  Yield, which is  calculated separately for
Class A, Class B and Advisor Class shares of each Fund, is computed by  dividing
the  difference between dividends and interest  earned during a one-month period
("a") and expenses accrued for the  period (net of reimbursements) ("b") by  the
product of the average daily number of shares outstanding during the period that
were  entitled to  receive dividends  ("c") and  the maximum  offering price per
share on the last day of the period ("d") according to the following formula  as
required by the SEC:
 
<TABLE>
<S>       <C>  <C>  <C>     <C> <C>
                   a-b
YIELD =   2     [( --  + 1  )   (6)-1]
                   cd
</TABLE>
 
The Yields of the Class A shares of the Strategic Income Fund, Government Income
Fund  and High Income Fund for the  one-month period ended October 31, 1996 were
6.58%, 6.23% and 7.29%, respectively.  The Yields of the  Class B shares of  the
Strategic  Income  Fund, Government  Income Fund  and High  Income Fund  for the
one-month  period  ended  October  31,   1996  were  6.23%,  5.87%  and   7.00%,
respectively.  The Yields  of the Advisor  Class shares of  the Strategic Income
Fund, Government Income Fund and High Income Fund for the one-month period ended
October 31, 1996 were 7.27%, 6.74% and 8.04%, respectively.
 
IMPORTANT POINTS TO NOTE ABOUT DATA RELATING TO WORLD EQUITY AND BOND MARKETS
Each Fund and AIM Distributors may  from time to time, in advertisements,  sales
literature and reports furnished to present or prospective shareholders, compare
the Funds with the following, among others:
 
        (1)  The Consumer Price Index ("CPI"), which is a measure of the average
    change in prices over time  in a fixed market  basket of goods and  services
    (e.g.,  food, clothing,  shelter, fuels,  transportation fares,  charges for
    doctors' and dentists' services, prescription medicines, and other goods and
    services that people  buy for  day-to-day living). There  is inflation  risk
    which does not affect a security's value but its purchasing power, i.e., the
    risk of changing price levels in the economy that affects security prices or
    the price of goods and services.
 
        (2)  Data and mutual fund rankings and comparisons published or prepared
    by  Lipper  Analytical  Data  Services,  Inc.  ("Lipper"),  CDA/Wiesenberger
    Investment   Company   Services   ("CDA/Wiesenberger"),   Morningstar,  Inc.
    ("Morningstar"), Micropal,  Inc. and/or  other  companies that  rank  and/or
    compare  mutual funds by overall performance, investment objectives, assets,
    expense levels, periods of existence  and/or other factors. In this  regard,
    each  Fund  may  be compared  to  its  "peer group"  as  defined  by Lipper,
    CDA/Wiesenberger, Morningstar  and/or  other  firms,  as  applicable  or  to
    specific  funds or  groups of  funds within or  outside of  such peer group.
    Lipper generally  ranks  funds  on  the  basis  of  total  return,  assuming
    reinvestment of distributions, but does not take sales charges or redemption
    fees
 
                  Statement of Additional Information Page 39
<PAGE>
                            AIM GLOBAL INCOME FUNDS
    into  consideration, and is prepared without  regard to tax consequences. In
    addition to the mutual fund rankings, the Fund's performance may be compared
    to mutual  fund performance  indices prepared  by Lipper.  Morningstar is  a
    mutual  fund rating  service that  also rates mutual  funds on  the basis of
    risk-adjusted performance. Morningstar ratings are calculated from a  fund's
    three,  five  and  ten  year average  annual  returns  with  appropriate fee
    adjustments and a risk factor that reflects fund performance relative to the
    three-month U.S. Treasury bill monthly returns. Ten percent of the funds  in
    an  investment category receive five stars and 22.5% receive four stars. The
    ratings are subject to change each month.
 
        (3) Bear  Stearns  Foreign Bond  Index,  which provides  simple  average
    returns for individual countries and gross national product ("GNP") weighted
    index,  beginning in 1975. The  returns are broken down  by local market and
    currency.
 
        (4) Ibbotson  Associates  International  Bond Index,  which  provides  a
    detailed breakdown of local market and currency returns since 1960.
 
        (5) Standard & Poor's 500 Composite Stock Price Index, which is a widely
    recognized  index  composed of  the  capitalization-weighted average  of the
    prices of 500 of the largest publicly traded stocks in the U.S.
 
        (6) Dow Jones Industrial Average.
 
        (7) CNBC/Financial News Composite Index.
 
        (8) Morgan Stanley Capital International World Indices, including, among
    others, the Morgan Stanley Capital International Europe, Australia, Far East
    Index ("EAFE Index").  The EAFE  index is an  unmanaged index  of more  than
    1,000 companies in Europe, Australia and the Far East.
 
        (9)  Morgan Stanley Capital  International All Country  (AC) World Index
    ("MSCI"). The  MSCI is  a broad,  unmanaged index  of global  stock  prices,
    currently  comprising 2,500 different issuers,  located in 47 countries, and
    grouped in 38 separate industries.
 
       (10) Salomon Brothers  World Government Bond  Index and Salomon  Brothers
    World  Government Bond Index-Non-U.S., each of  which is a widely used index
    composed of world government bonds.
 
       (11) The  World  Bank  Publication  of  Trends  in  Developing  Countries
    ("TIDE")  provides  brief  reports on  most  of the  World  Bank's borrowing
    members. The World  Development Report  is published annually  and looks  at
    global   and  regional  economic  trends  and  their  implications  for  the
    developing economies.
 
       (12) Salomon Brothers Global Telecommunications Index, which is  composed
    of telecommunications companies in the developing and emerging countries.
 
       (13)  Datastream and  Worldscope, each  of which  is an  on-line database
    retrieval  service   for  information,   including   but  not   limited   to
    international financial and economic data.
 
       (14)  International  Financial  Statistics,  which  is  produced  by  the
    International Monetary Fund.
 
       (15) Various publications and reports produced by the World Bank and  its
    affiliates.
 
       (16)  Various publications from the International Bank for Reconstruction
    and Development.
 
       (17) Various publications produced by  ratings agencies such as  Moody's,
    S&P and Fitch.
 
       (18)  Wilshire Associates, which is an on-line database for international
    financial and economic data including performance measures for a wide  range
    of securities.
 
       (19)  Bank Rate National Monitor Index, which is an average of the quoted
    rates for 100 leading banks and thrifts in ten U.S. cities.
 
       (20) International  Finance  Corporation ("IFC")  Emerging  Markets  Data
    Base,  which  provides  detailed statistics  on  bond and  stock  markets in
    developing countries.
 
       (21) Various publications from the Organization for Economic  Cooperation
    and Development ("OECD").
 
       (22)  Average of  savings accounts,  which is a  measure of  all kinds of
    savings deposits, including longer-term certificates. Savings accounts offer
    a guaranteed rate  of return on  principal, but no  opportunity for  capital
    growth.  During a  portion of  the period,  the maximum  rates paid  on some
    savings deposits were fixed by law.
 
                  Statement of Additional Information Page 40
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
Indices, economic and  financial data  prepared by the  research departments  of
various   financial  organizations,  such  as  Salomon  Brothers,  Inc.,  Lehman
Brothers, Merrill  Lynch,  Pierce,  Fenner &  Smith,  Inc.,  Financial  Research
Corporation,  J. P. Morgan, Morgan Stanley, Smith Barney Shearson, S.G. Warburg,
Jardine Flemming,  The Bank  for  International Settlements,  Asian  Development
Bank, Bloomberg, L.P. and Ibbotson Associates may be used as well as information
reported  by the  Federal Reserve  and the  respective Central  Banks of various
nations. In addition, AIM Distributors may use performance rankings, ratings and
commentary reported periodically in  national financial publications,  including
Money  Magazine, Mutual Fund  Magazine, Smart Money,  Global Finance, EuroMoney,
Financial World, Forbes, Fortune, Business Week, Latin Finance, The Wall  Street
Journal,  Emerging  Markets  Weekly,  Kiplinger's  Guide  To  Personal  Finance,
Barron's, The  Financial Times,  USA Today,  The New  York Times  and  Investors
Business  Digest.  Each  Fund  may  compare its  performance  to  that  of other
compilations or indices of  comparable quality to those  listed above and  other
indices that may be developed and made available in the future.
 
Information   relating  to   foreign  market   performance,  capitalization  and
diversification is based on sources believed  to be reliable but may be  subject
to  revision  and  has not  been  independently  verified by  the  Funds  or AIM
Distributors. The  authors  and  publishers  of such  material  are  not  to  be
considered  as "experts" under the 1933 Act, on account of the inclusion of such
information herein.
 
A portion of the  performance figures for each  market includes the positive  or
negative effects of the currency exchange rates effective at December 31 of each
year  between the U.S. dollar and currency of the foreign market (e.g., Japanese
Yen, German Deutschemark  and Hong  Kong Dollar).  A foreign  currency that  has
strengthened  or weakened against the U.S.  dollar will positively or negatively
affect the reported returns, as the case may be.
 
AIM Distributors  believes that  this  information may  be useful  to  investors
considering  whether and to  what extent to  diversify their investments through
the purchase of mutual funds investing in securities on a global basis. However,
this data is not a representation of  the past performance of the Funds, nor  is
it  a prediction of  such performance. The  performance of the  Fund will differ
from the historical performance of relevant indices. The performance of  indices
does  not take  expenses into  account, while  the Fund  incurs expenses  in its
operations, which will reduce performance. Each of these factors will cause  the
performance of the Fund to differ from relevant indices.
 
From  time to time,  each Fund and AIM  Distributors may refer  to the number of
shareholders in the  Funds or the  aggregate number of  shareholders in all  AIM
Funds or the dollar amount of each Fund's assets under management in advertising
materials.
 
AIM  Distributors believes  the AIM  Global Income  Funds can  be an appropriate
investment for long-term investment goals, including funding retirement,  paying
for  education or purchasing  a house. AIM  Distributors may provide information
designed to  help  individuals understand  their  investment goals  and  explore
various financial strategies. For example, AIM Distributors may describe general
principles  of  investing, such  as asset  allocation, diversification  and risk
tolerance. The AIM Global  Income Funds do not  represent a complete  investment
program and the investors should consider the Funds as appropriate for a portion
of  their overall investment portfolio with regard to their long-term investment
goals. There is no  assurance that any such  information will lead to  achieving
these goals or guarantee future results.
 
From  time to time, AIM Distributors may refer to or advertise the names of U.S.
and non-U.S. companies and  their products, although there  can be no  assurance
that any AIM Fund may own the securities of these companies.
 
Ibbotson  Associates  of  Chicago,  Illinois  ("Ibbotson")  provides  historical
returns of the capital  markets in the United  States, including common  stocks,
small   capitalization  stocks,  long-term  corporate  bonds,  intermediate-term
government bonds, long-term government bonds,  Treasury bills, the U.S. rate  of
inflation  (based on the CPI), and  combinations of various capital markets. The
performance of  these capital  markets  is based  on  the returns  of  different
indices.
 
AIM  Funds  may  use  the  performance of  these  capital  markets  in  order to
demonstrate  general   risk-versus-reward  investment   scenarios.   Performance
comparisons  may also include the  value of a hypothetical  investment in any of
these capital  markets. The  risks associated  with the  security types  in  any
capital  market  may or  may  not correspond  directly  to those  of  the Funds.
Ibbotson calculates total returns in the same method as the Funds.
 
Each Fund may quote  various measures of  volatility and benchmark  correlation,
such  as beta,  standard deviation and  R(2), in advertising.  In addition, each
Fund may compare these measures to those of other funds. Measures of  volatility
seek  to compare the Funds' historical  share price fluctuations or total return
to those of a benchmark.
 
Each Fund may advertise  examples of the effects  of periodic investment  plans,
including the principle of dollar cost averaging programs. In such a program, an
investor  invests a fixed dollar amount in a Fund at periodic intervals, thereby
purchasing fewer shares  when prices are  high and more  shares when prices  are
low. While such a strategy does not assure a
 
                  Statement of Additional Information Page 41
<PAGE>
                            AIM GLOBAL INCOME FUNDS
profit  or guard against loss in a declining market, the investor's average cost
per share can be lower than if fixed numbers of shares are purchased at the same
intervals. In evaluating such a plan, investors should consider their ability to
continue purchasing shares through periods of low price levels.
 
Each Fund may describe in its sales material and advertisements how an  investor
may  invest in AIM Funds through various retirement plans or other programs that
offer deferral of income taxes on  investment earnings and pursuant to which  an
investor  may make deductible contributions.  Because of their advantages, these
retirement plans  and  programs  may  produce  returns  superior  to  comparable
non-retirement  investments. For example, a $10,000 investment earning a taxable
return of 10% annually would have an after-tax value of $17,976 after ten years,
assuming tax  was  deducted from  the  return each  year  at a  39.6%  rate.  An
equivalent  tax-deferred  investment would  have an  after-tax value  of $19,626
after ten years, assuming  tax was deducted  at a 39.6%  rate from the  deferred
earnings   at  the   end  of  the   ten-year  period.  In   sales  material  and
advertisements, the  Fund  may  also  discuss  these  plans  and  programs.  See
"Information Relating to Sales and Redemptions -- Individual Retirement Accounts
("IRAs") and Other Tax-Deferred Plans."
 
AIM  Distributors may  from time  to time in  its sales  methods and advertising
discuss the risks inherent in investing. The major types of investment risk  are
market  risk, industry risk, credit risk, interest rate risk, liquidity risk and
inflation risk. Risk represents the possibility that you may lose some or all of
your investment over a period of time. A basic tenet of investing is the greater
the potential reward, the greater the risk.
 
From time  to  time, the  Funds  and  AIM Distributors  will  quote  information
regarding  industries, individual countries, regions, world stock exchanges, and
economic  and  demographic  statistics  from  sources  AIM  Distributors   deems
reliable,  including the economic and financial data of financial organizations,
such as:
 
 1) Stock market  capitalization:  Morgan Stanley  Capital  International  World
    Indices, IFC and Datastream.
 
 2) Stock  market  trading volume:  Morgan  Stanley Capital  International World
    Indices and IFC.
 
 3) The number  of listed  companies: IFC,  GT Guide  to World  Equity  Markets,
    Salomon Brothers, Inc. and S.G. Warburg.
 
 4) Wage  rates: U.S. Department of Labor  Statistics and Morgan Stanley Capital
    International World Indices.
 
 5) International industry  performance:  Morgan Stanley  Capital  International
    World Indices, Wilshire Associates and Salomon Brothers, Inc.
 
 6) Stock   market  performance:  Morgan  Stanley  Capital  International  World
    Indices, IFC and Datastream.
 
 7) The Consumer Price Index and inflation rate: The World Bank, Datastream  and
    IFC.
 
 8) Gross Domestic Product ("GDP"): Datastream and The World Bank.
 
 9) GDP growth rate: IFC, The World Bank and Datastream.
 
10) Population: The World Bank, Datastream and United Nations.
 
11) Average annual growth rate (%) of population: The World Bank, Datastream and
    United Nations.
 
12) Age distribution within populations: OECD and United Nations.
 
13) Total exports and imports by year: IFC, The World Bank and Datastream.
 
14) Top  three companies by country, industry, or market: IFC, GT Guide to World
    Equity Markets, Salomon Brothers, Inc. and S.G. Warburg.
 
15) Foreign direct  investments  to developing  countries:  The World  Bank  and
    Datastream.
 
16) Supply,  consumption,  demand  and  growth in  demand  of  certain products,
    services and industries, including, but  not limited to electricity,  water,
    transportation, construction materials, natural resources, technology, other
    basic infrastructure, financial services, health care services and supplies,
    consumer products and services and telecommunications equipment and services
    (sources  of such information may include, but  would not be limited to, The
    World Bank, OECD, IMF, Bloomberg and Datastream).
 
17) Standard deviation and performance returns for U.S. and non-U.S. equity  and
    bond markets: Morgan Stanley Capital International.
 
18) Countries  restructuring their debt,  including those under  the Brady Plan:
    the Sub-adviser.
 
19) Political and economic structure of countries: Economist Intelligence Unit.
 
                  Statement of Additional Information Page 42
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
20) Government and  corporate bonds  -- credit  ratings, yield  to maturity  and
    performance returns: Salomon Brothers, Inc.
 
21) Dividend yields for U.S. and non-U.S. companies: Bloomberg.
 
From  time to time, AIM Distributors may include in its advertisements and sales
material,  information  about  privatization,  which  is  an  economic   process
involving the sale of state-owned companies to the private sector.
 
In  advertising and sales  materials, AIM Distributors may  make reference to or
discuss its products, services and accomplishments. Among these  accomplishments
are  that in 1983 the Sub-adviser provided  assistance to the government of Hong
Kong in  linking its  currency to  the U.S.  dollar, and  that in  1987  Japan's
Ministry  of  Finance licensed  GT Asset  Management  Ltd. as  one of  the first
foreign  discretionary  investment   managers  for   Japanese  investors.   Such
accomplishments,  however,  should  not  be  viewed  as  an  endorsement  of the
Sub-adviser by the government of Hong  Kong, Japan's Ministry of Finance or  any
other  government or government  agency. Nor do any  such accomplishments of the
Sub-adviser provide any assurance that the Funds' investment objectives will  be
achieved.
 
ECONOMIC DEVELOPMENT IN EMERGING MARKETS
The  Sub-adviser has identified  six phases to track  the progress of developing
economies.
 
In addition, the Sub-adviser focuses on the transitions between each phase:
 
    BETWEEN PHASES 1 & 2,  STABILIZATION: Developing nations recognize the  need
for economic reform and launch initiatives to stabilize their economies. Typical
measures  might  include  initiating  monetary  reforms  to  contain  inflation,
controlling government spending, and addressing external trade imbalances.
 
    BETWEEN PHASES 2 & 3,  RENOVATION: Economic development gathers momentum  as
the   governments  of  developing   nations  take  further   steps  to  increase
productivity and external competitiveness. Typical reforms include easing market
regulations, privatizing  state-owned industries,  lowering trade  barriers  and
reforming the national tax structure.
 
    BETWEEN  PHASES  3 &  4, NEW  CONSTRUCTION: As  economic reforms  take hold,
infrastructure improvements  are  needed  to facilitate  and  support  long-term
growth.  The construction and upgrading of highways and airports, communications
and utility systems  generally require  financing in  the form  of public  debt.
Similarly,  as  the private  sector develops,  bolstered by  new privatizations,
corporate debt securities typically are issued to finance business expansion.
 
EMERGING MARKET TRADING VOLUME
The annual trading volume of debt securities from developing economies according
to Salomon Brothers, Inc. has grown from $90 billion in 1990 to $150 billion  in
1991  to $400 billion in 1992 and was  estimated to be $1,200 billion at the end
of 1993 and $1.5 trillion at the end of 1994, respectively.
 
- --------------------------------------------------------------------------------
 
                          DESCRIPTION OF DEBT RATINGS
 
- --------------------------------------------------------------------------------
DESCRIPTION OF BOND RATINGS
    MOODY'S INVESTORS SERVICE, INC. ("Moody's") rates the debt securities issued
by various entities from  "Aaa" to "C." Investment  grade ratings are the  first
four categories:
 
        Aaa  -- Bonds which are rated Aaa are  judged to be of the best quality.
    They carry the smallest degree of investment risk and are generally referred
    to as "gilt  edged." Interest payments  are protected  by a large  or by  an
    exceptionally  stable  margin and  principal  is secure.  While  the various
    protective elements are likely to change, such changes as can be  visualized
    are  most  unlikely  to impair  the  fundamentally strong  position  of such
    issues.
 
        Aa -- Bonds which are rated Aa are  judged to be of high quality by  all
    standards.  Together with  the Aaa  group they  comprise what  are generally
    known as high grade bonds. They are rated lower than the best bonds  because
    margins  of  protection  may  not  be  as  large  as  in  Aaa  securities or
    fluctuation of protective elements may be of greater amplitude or there  may
    be  other elements  present which  make the  long-term risk  appear somewhat
    larger than the Aaa securities.
 
                  Statement of Additional Information Page 43
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
        A  --  Bonds  which  are  rated  A  possess  many  favorable  investment
    attributes  and  are  to be  considered  as  upper-medium-grade obligations.
    Factors giving security to principal  and interest are considered  adequate,
    but  elements may  be present which  suggest a  susceptibility to impairment
    some time in the future.
 
        Baa --  Bonds  which  are  rated  Baa  are  considered  as  medium-grade
    obligations,  (i.e., they are neither  highly protected nor poorly secured).
    Interest payments and principal security appear adequate for the present but
    certain protective  elements may  be lacking  or may  be  characteristically
    unreliable  over  any  great length  of  time. Such  bonds  lack outstanding
    investment characteristics and in  fact have speculative characteristics  as
    well.
 
        Ba  -- Bonds which are rated Ba are judged to have speculative elements;
    their future cannot be considered  as well-assured. Often the protection  of
    interest  and principal payments may be  very moderate, and thereby not well
    safeguarded during both good and bad  times over the future. Uncertainty  of
    position characterizes bonds in this class.
 
        B  --  Bonds which  are rated  B generally  lack characteristics  of the
    desirable investment. Assurance  of interest  and principal  payments or  of
    maintenance  of other terms of the contract over any long period of time may
    be small.
 
        Caa -- Bonds which are rated Caa  are of poor standing. Such issues  may
    be  in default or  there may be  present elements of  danger with respect to
    principal or interest.
 
        Ca  --  Bonds  which  are  rated  Ca  represent  obligations  which  are
    speculative in a high degree. Such issues are often in default or have other
    marked shortcomings.
 
        C  -- Bonds which  are rated C  are the lowest  rated class of bonds,and
    issues so rated can be regarded  as having extremely poor prospects of  ever
    attaining any real investment standing.
 
ABSENCE  OF RATING: Where no rating has been assigned or where a rating has been
suspended or withdrawn, it may  be for reasons unrelated  to the quality of  the
issue.
 
Should no rating be assigned, the reason may be one of the following:
 
         1. An application for rating was not received or accepted.
 
         2.  The issue or issuer  belongs to a group  of securities or companies
    that are not rated as a matter of policy.
 
         3. There is a lack of essential data pertaining to the issue or issuer.
 
         4. The issue  was privately  placed, in which  case the  rating is  not
    published in Moody's publications.
 
Suspension  or withdrawal may occur if new and material circumstances arise, the
effects of which preclude satisfactory analysis; if there is no longer available
reasonable up-to-date data  to permit  a judgment  to be  formed; if  a bond  is
called for redemption; or for other reasons.
 
Note:  Moody's applies numerical modifiers,  1, 2, and 3  in each generic rating
classification from Aa to Caa. The  modifier 1 indicates that the Company  ranks
in  the higher end  of its generic  rating category; the  modifier 2 indicates a
mid-range ranking; and the  modifier 3 indicates that  the Company ranks in  the
lower end of its generic rating category.
 
    STANDARD  & POOR'S, a division of The McGraw-Hill Companies, Inc., rates the
securities debt of  various entities  in categories  ranging from  "AAA" to  "D"
according to quality. Investment grade ratings are the first four categories:
 
        AAA -- An obligation rated "AAA" has the highest rating assigned by S&P.
    The obligor's capacity to meet its financial commitment on the obligation is
    extremely strong.
 
        AA   --  An  obligation  rated  "AA"  differs  from  the  highest  rated
    obligations only  in a  small degree.  The obligor's  capacity to  meet  its
    financial commitment on the obligation is very strong.
 
        A -- An obligation rated "A" is somewhat more susceptible to the adverse
    effects of changes in circumstances and economic conditions than obligations
    in higher rated categories.
 
        BBB   --  An   obligation  rated  "BBB"   exhibits  adequate  protection
    parameters. However, adverse economic  conditions or changing  circumstances
    are  more likely to lead  to a weakened capacity of  the obligor to meet its
    financial commitment on the obligation.
 
        BB, B, CCC, CC, C -- Obligations  rated "BB," "B," "CCC," "CC," and  "C"
    are   regarded  as  having  significant  speculative  characteristics.  "BB"
    indicates the least degree  of speculation and "C"  the highest. While  such
    obligations  will likely  have some quality  and protective characteristics,
    these may be outweighed by large uncertainties or major exposures to adverse
    conditions.
 
                  Statement of Additional Information Page 44
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
        BB -- An  obligation rated "BB"  is less vulnerable  to nonpayment  than
    other  speculative issues. However, it  faces major ongoing uncertainties or
    exposure to adverse business, financial, or economic conditions which  could
    lead  to the obligor's inadequate capacity  to meet its financial commitment
    on the obligation.
 
        B --  An obligation  rated "B"  is more  vulnerable to  nonpayment  than
    obligations  rated "BB," but the obligor  currently has the capacity to meet
    its financial commitment on the obligation. Adverse business, financial,  or
    economic conditions will likely impair the obligor's capacity or willingness
    to meet its financial commitment on the obligation.
 
        CCC  -- An obligation rated "CCC" is currently vulnerable to nonpayment,
    and is dependent upon favorable business, financial, and economic conditions
    for the obligor to meet its  financial commitment on the obligation. In  the
    event of adverse business, financial, or economic conditions, the obligor is
    not  likely to  have the  capacity to meet  its financial  commitment on the
    obligation.
 
        CC --  An  obligation  rated  "CC" is  currently  highly  vulnerable  to
    nonpayment.
 
        C  -- The "C" rating may be used to cover a situation where a bankruptcy
    petition has been filed  or similar action has  been taken, but payments  on
    this obligation are being continued.
 
        D  -- An  obligation rated  "D" is  in payment  default. The  "D" rating
    category is used when payments on an obligation are not made on the date due
    even if the  applicable grace period  has not expired,  unless S&P  believes
    that  such payments will  be made during  such grace period.  The "D" rating
    also will be used upon the filing of a bankruptcy petition or the taking  of
    a similar action if payments on an obligation are jeopardized.
 
PLUS  (+) OR MINUS  (-): The ratings from  "AA" to "CCC" may  be modified by the
addition of a  plus or minus  sign to  show relative standing  within the  major
rating categories.
 
NR:  Indicates that  no rating  has been  requested, that  there is insufficient
information on which to base  a rating, or that S&P  does not rate a  particular
type of obligation as a matter of policy.
 
DESCRIPTION OF COMMERCIAL PAPER RATINGS
    MOODY'S  employs  the  designation "Prime-1"  to  indicate  commercial paper
having a superior ability for  repayment of senior short-term debt  obligations.
Prime-1  repayment  ability will  often be  evidenced by  many of  the following
characteristics: leading market positions  in well-established industries;  high
rates  of return on  funds employed; conservative  capitalization structure with
moderate reliance on debt and ample asset protection; broad margins in  earnings
coverage  of  fixed financial  charges and  high  internal cash  generation; and
well-established access to a range of  financial markets and assured sources  of
alternate liquidity. Issues rated Prime-2 have a strong ability for repayment of
senior  short-term debt obligations. This normally  will be evidenced by many of
the characteristics cited  above but  to a  lesser degree.  Earnings trends  and
coverage  ratios, while sound, may be  more subject to variation. Capitalization
characteristics, while  still  appropriate, may  be  more affected  by  external
conditions. Ample alternate liquidity is maintained.
 
    S&P  ratings of commercial paper are  graded into several categories ranging
from "A1" for the highest quality obligations  to "D" for the lowest. Issues  in
the  "A"  category are  delineated  with numbers  1, 2,  and  3 to  indicate the
relative degree  of safety.  A-1 --  This highest  category indicates  that  the
degree  of safety regarding timely payment is strong. Those issues determined to
possess extremely strong safety characteristics will be denoted with a plus sign
(+) designation.  A-2  -- Capacity  for  timely  payments on  issues  with  this
designation  is satisfactory; however,  the relative degree of  safety is not as
high as for issues designated "A-1."
 
- --------------------------------------------------------------------------------
 
                              FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
The audited financial statements  of the Funds  as of October  31, 1997 and  the
fiscal year then ended appear on the following pages.
 
                  Statement of Additional Information Page 45
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                   REPORT OF
                            INDEPENDENT ACCOUNTANTS
 
- --------------------------------------------------------------------------------
 
ANNUAL REPORT
To the Shareholders and Board of Directors of
G.T. Investment Funds, Inc.:
 
We have audited the accompanying statement of assets and liabilities of GT
Global Government Income Fund, GT Global High Income Fund-Consolidated, and GT
Global Strategic Income Fund, including the portfolios of investments, as of
October 31, 1997, the related statements of operations for the year then ended,
the statements 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 indicated
herein. These financial statements and the financial highlights are the
responsibility of the Funds' 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 the 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
October 31, 1997 by correspondence with the custodian and brokers. 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 the financial highlights referred
to above present fairly, in all material respects, the financial positions of GT
Global Government Income Fund, GT Global High Income Fund-Consolidated and GT
Global Strategic Income Fund as of October 31, 1997, the results of their
operations for the year then ended, the changes in their net assets for each of
the two years in the period then ended, and the financial highlights for each of
the periods indicated herein, in conformity with generally accepted accounting
principles.
 
                                                        COOPERS & LYBRAND L.L.P.
 
BOSTON, MASSACHUSETTS
DECEMBER 15, 1997
 
                                       F1
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (49.4%)
  Australia (3.0%)
    Commonwealth of Australia, 7.5% due 9/15/09 ..........   AUD           10,660,000   $  8,416,716         3.0
  Canada (2.0%)
    Canadian Government, 7.25% due 6/1/07 ................   CAD            6,920,000      5,548,964         2.0
  Germany (4.7%)
    Deutschland Republic, 6% due 1/5/06 ..................   DEM           22,050,000     13,180,133         4.7
  Italy (9.4%)
    Italian Buoni Poliennali del Tesoro (BTPS):
      9.50% due 1/1/05 ...................................   ITL       13,100,000,000      9,228,992         3.3
      9% due 11/1/23 .....................................   ITL       11,730,000,000      8,839,498         3.1
      7.25% due 11/1/26 ..................................   ITL       13,200,000,000      8,361,624         3.0
  New Zealand (4.4%)
    New Zealand Government, 8% due 4/15/04 ...............   NZD           18,570,000     12,360,425         4.4
  Spain (2.3%)
    Spain Government, 10.5% due 10/30/03 .................   ESP          770,000,000      6,581,165         2.3
  Sweden (2.9%)
    Swedish Government, 8% due 8/15/07 ...................   SEK           54,800,000      8,163,505         2.9
  United Kingdom (4.4%)
    United Kingdom Treasury:
      9.5% due 4/18/05 ...................................   GBP            5,000,000      9,775,453         3.5
      7.25% due 12/7/07 ..................................   GBP            1,420,000      2,503,816         0.9
  United States (15.3%)
    United States Treasury:
      8% due 11/15/21{./} {z} ............................   USD           17,000,000     20,683,023         7.3
      6.125% due 8/15/07 .................................   USD            9,750,000      9,958,711         3.5
      6.375% due 8/15/27 .................................   USD            6,250,000      6,431,641         2.3
      6.625% due 5/15/07 .................................   USD            5,800,000      6,106,992         2.2
  Uruguay (1.0%)
    Republic of Uruguay, 7.875% due 7/15/27 -
     144A{./}{.} .........................................   USD            3,000,000      2,898,000         1.0
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $136,776,126) ...........................................                               139,038,658
                                                                                        ------------
Corporate Bonds (23.5%)
  Denmark (5.4%)
    Realkredit Bank, 7% due 10/1/29 ......................   DKK          104,000,000     15,287,266         5.4
  Germany (2.0%)
    Commerzbank O/S Financial, 8.5% due 5/13/02 ..........   NZD            5,340,000      3,467,559         1.2
    Kredit Fuer Wiederaufbau International Finance, 7.25%
     due 7/16/07 .........................................   AUD            3,100,000      2,304,569         0.8
  New Zealand (3.8%)
    Transpower Finance Ltd., 8% due 3/15/02 ..............   NZD           16,500,000     10,590,896         3.8
  South Africa (5.5%)
    Eskom, 11% due 6/1/08{./} ............................   ZAR           68,500,000     11,346,106         4.0
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F2
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Corporate Bonds (Continued)
    Transnet Ltd., 7.5% due 4/1/08 .......................   ZAR           28,140,000   $  3,612,816         1.3
    Development Bank of South Africa, due 12/31/27 .......   ZAR          124,000,000        580,042         0.2
  Tunisia (1.5%)
    Banque Centrals de Tunisie, 8.25% due 9/19/27 ........   USD            4,750,000      4,314,235         1.5
  United Kingdom (5.3%)
    SBC Jersey, 8.75% due 6/20/05 ........................   GBP            8,200,000     14,927,163         5.3
                                                                                        ------------
Total Corporate Bonds (cost $68,215,638) .................                                66,430,652
                                                                                        ------------
Mortgage Backed (12.0%)
  United States (12.0%)
    Federal National Mortgage Association:
      7.25% due 6/20/02 ..................................   NZD           15,050,000      9,421,474         3.3
      6.375% due 8/15/07 .................................   AUD            7,300,000      5,212,020         1.8
    Government National Mortgage Association:
      TBA Pool, 7% due 11/15/27{*} .......................   USD            8,725,000      8,774,078         3.1
      Pool #780515, 9.5% due 12/15/21 ....................   USD            5,026,270      5,475,493         1.9
    Federal Home Loan Mortgage Association Pool #E62449,
     8.5% due 3/1/10 .....................................   USD            2,595,424      2,769,195         1.0
    Salomon Brothers Mortgage Securities CMO, effective
     yield 6.0867% due 12/25/30 ..........................   USD            2,342,065      2,400,617         0.9
                                                                                        ------------
Total Mortgage Backed (cost $34,786,107) .................                                34,052,877
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $239,777,871) .......                               239,522,187        84.9
                                                                                        ------------       -----
<CAPTION>
 
                                                                         UNDERLYING        VALUE         % OF NET
OPTIONS                                                     CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Deutsche Marks Put Option, strike 1.7825, expires
   11/13/97
   (cost $80,102) ........................................   USD            4,840,000          3,896          --
                                                                                        ------------       -----
    CURRENCY OPTIONS
<CAPTION>
 
                                                                         PRINCIPAL         VALUE         % OF NET
SHORT-TERM INVESTMENTS                                      CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (14.9%)
  Egypt (1.1%)
    Egypt Treasury Bill, 0% due 11/25/97 .................   EGP           11,000,000      3,215,643         1.1
  Italy (7.1%)
    Italian Buoni Poliennali del Tesoro (BTPS), 10.5% due
     4/15/98 .............................................   ITL       33,520,000,000     20,073,397         7.1
  Mexico (1.6%)
    Mexican Cetes due 11/13/97 ...........................   MXN            3,732,000      4,445,773         1.6
  United Kingdom (5.1%)
    United Kingdom Treasury, 7.25% due 3/30/98 ...........   GBP            8,550,000     14,354,277         5.1
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $41,749,459) ............................................                                42,089,090
                                                                                        ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F3
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
SHORT-TERM INVESTMENTS                                      CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Commercial Paper - Discounted (3.1%)
  United States (3.1%)
    General Electric Capital Corp., effective yield 5.68%
     due 11/19/97 (cost $8,659,446){./} ..................   USD            8,725,000   $  8,659,446         3.1
                                                                                        ------------       -----
 
TOTAL SHORT-TERM INVESTMENTS (cost $50,408,905) ..........                                50,748,536        18.0
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $290,266,878)  * .................                               290,274,619       102.9
Other Assets and Liabilities .............................                                (8,165,141)       (2.9)
                                                                                        ------------       -----
 
NET ASSETS ...............................................                              $282,109,478       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- --------------
 
       {./}  All or part of the Fund's holdings in this security is segregated
             as collateral for when-issued securities or forward currency
             contracts. See Note 1 to the Financial Statements.
        {z}  All or part of the Fund's holdings in this security is segregated
             as collateral for written options. See Note 1 to the Financial
             Statements.
        {.}  Security exempt from registration under Rule 144A of the Securities
             Act of 1933. These securities may be resold in transactions exempt
             from registration, normally to qualified institutional buyers.
        {*}  Purchased on a forward commitment basis.
          *  For Federal income tax purposes, cost is $290,620,342 and
             appreciation (depreciation) is as follows:
 
<TABLE>
                 <S>                              <C>
                 Unrealized appreciation:         $   5,885,779
                 Unrealized depreciation:            (6,231,502)
                                                  -------------
                 Net unrealized depreciation:     $    (345,723)
                                                  -------------
                                                  -------------
</TABLE>
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                     WRITTEN OPTIONS CONTRACTS OUTSTANDING
                                OCTOBER 31, 1997
 
<TABLE>
<CAPTION>
                                            UNDERLYING     EXPIRATION  STRIKE      MARKET
PUT OPTIONS                                   AMOUNT         DATE     PRICE        VALUE
- ----------------------------------------  --------------   --------  --------  --------------
<S>                                       <C>              <C>       <C>       <C>
DEM.....................................     4,840,000     11/13/97   DEM1.82   $      (406)
                                                                                     ------
  Total outstanding written options
   (Premium received $44,673)...........                                               (406)
                                                                                     ------
                                                                                     ------
</TABLE>
 
- ----------------
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F4
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
                 FORWARD FOREIGN CURRENCY CONTRACTS OUTSTANDING
                                OCTOBER 31, 1997
<TABLE>
<CAPTION>
                                                                                 UNREALIZED
                                           MARKET VALUE    CONTRACT  DELIVERY   APPRECIATION
CONTRACTS TO BUY:                         (U.S. DOLLARS)    PRICE      DATE    (DEPRECIATION)
- ----------------------------------------  --------------   --------  --------  --------------
<S>                                       <C>              <C>       <C>       <C>
Australian Dollars......................      14,130,053    1.33485   11/6/97   $  (927,862)
Australian Dollars......................       2,108,963    1.37000   11/6/97       (80,812)
Australian Dollars......................       4,077,329    1.37155   11/6/97      (151,451)
Australian Dollars......................       8,168,717    1.36885   11/6/97      (320,158)
British Pounds..........................      17,545,780    0.62087    2/5/98       505,103
Canadian Dollars........................       1,412,149    1.37160   11/6/97       (38,712)
Danish Kroner...........................       5,263,096    6.67385   11/6/97        87,497
Deutsche Marks..........................       4,607,616    1.79770   11/6/97       187,616
Deutsche Marks..........................       7,647,020    1.72473   11/6/97         1,020
Deutsche Marks..........................       8,632,762    1.85468    2/5/98       650,345
Deutsche Marks..........................       9,831,529    1.86050    2/5/98       769,116
Deutsche Marks..........................       9,121,259    1.84900    2/5/98       661,259
Deutsche Marks..........................      10,320,977    1.82590    2/5/98       627,127
Deutsche Marks..........................      22,031,550    1.76970    2/5/98       681,550
Deutsche Marks..........................      15,399,073    1.74950    2/5/98       304,074
Deutsche Marks..........................       7,856,456    1.74980    2/5/98       156,456
Deutsche Marks..........................       7,924,376    1.74230    2/5/98       124,376
Italian Liras...........................       3,458,975   1,768.30000   2/5/98      138,837
Italian Liras...........................       8,545,464   1,747.52000   2/5/98      245,464
Italian Liras...........................       3,796,301   1,741.50000   2/5/98       96,301
Italian Liras...........................      15,238,110   1,732.32000   2/5/98      307,843
Italian Liras...........................       5,672,764   1,699.54000   2/5/98        7,399
Italian Liras...........................         996,994   1,697.70000   2/5/98          221
South African Rand......................         873,181    4.81550   11/6/97           997
Swedish Kronor..........................       8,468,638    7.57006   11/6/97        92,472
Swedish Kronor..........................       2,827,601    7.49385    2/5/98        11,645
                                          --------------                       --------------
  Total Contracts to Buy (Payable amount
   $201,819,010)........................     205,956,733                          4,137,723
                                          --------------                       --------------
THE VALUE OF CONTRACTS TO BUY AS
 PERCENTAGE OF NET ASSETS IS 73.01%.
 
<CAPTION>
 
CONTRACTS TO SELL:
- ----------------------------------------
<S>                                       <C>              <C>       <C>       <C>
Australian Dollars......................      35,852,373    1.34162   11/6/97     2,161,497
Australian Dollars......................       8,548,124    1.43055   11/6/97       (48,124)
British Pounds..........................       8,269,037    0.62724   11/6/97      (409,138)
British Pounds..........................       9,476,686    0.63291   11/6/97      (549,686)
British Pounds..........................       8,830,253    0.60165    2/5/98        19,747
Canadian Dollars........................       1,412,149    1.39136   11/6/97        36,705
Canadian Dollars........................       5,516,238    1.39136    2/5/98        43,762
Danish Kroner...........................       7,511,923    6.95000   11/6/97      (418,398)
Deutsche Marks..........................       4,699,886    1.83370   11/6/97      (279,886)
Deutsche Marks..........................       7,559,969    1.78347   11/6/97      (249,969)
Deutsche Marks..........................       8,548,334    1.71846    2/5/98       (17,440)
Deutsche Marks..........................       7,689,586    1.71600    2/5/98        (4,687)
Deutsche Marks..........................      57,287,100    1.71600    2/5/98       (34,920)
Deutsche Marks..........................      18,029,667    1.71800    2/5/98       (31,966)
Italian Lira............................      39,768,497   1,696.15000   2/5/98       27,512
New Zealand Dollars.....................      36,510,209    1.57878   11/6/97       638,701
South African Rand......................       8,879,420    4.83145  11/12/97       (39,420)
South African Rand......................       7,946,694    4.95150  11/28/97      (171,272)
Swedish Kronor..........................       4,273,847    7.94000   11/6/97      (243,620)
Swedish Kronor..........................       9,215,482    8.00000   11/6/97      (590,482)
                                          --------------                       --------------
  Total Contracts to Sell (Receivable
   amount $295,664,390).................     295,825,474                           (161,084)
                                          --------------                       --------------
THE VALUE OF CONTRACTS TO SELL AS
 PERCENTAGE OF NET ASSETS IS 104.86%.
  Total Open Forward Foreign Currency
   Contracts, Net.......................                                        $ 3,976,639
                                                                               --------------
                                                                               --------------
</TABLE>
 
- ----------------
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F5
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (53.2%)
  Argentina (5.2%)
    Republic of Argentina:
      Global Bond, 11% due 10/9/06 .......................   USD           11,919,000   $ 11,814,709         3.2
      Par Bond Series L, 5.50% due 3/31/23++ .............   USD            6,610,000      4,498,931         1.2
      Global Bond, 11.375% due 1/30/17 ...................   USD            3,048,000      2,910,840         0.8
  Brazil (2.1%)
    Republic of Brazil, Par Z-L Bond, 5.25% due
     4/15/24++ ...........................................   USD           11,384,000      7,527,670         2.1
  Bulgaria (5.1%)
    Republic of Bulgaria:
      Front Loaded Interest Reduction Bond Series A, 2.25%
       due 7/28/12++ .....................................   USD           18,357,000     10,004,565         2.7
      Interest Arrears Bond, 6.6875% due 7/28/11 -
       Euro+ .............................................   USD           13,522,000      8,882,264         2.4
  Costa Rica (1.7%)
    Banco Central de Costa Rica:
      Interest Bond Series A, 6.5391% due 5/21/05
       (effective maturity date 8/21/02)+ ................   USD            4,270,656      4,270,656         1.2
      Principal Bond Series A, 6.25% due 5/21/10 .........   USD            1,900,000      1,653,000         0.5
  Ecuador (2.1%)
    Republic of Ecuador Discount Bond, 6.6875% due 2/28/25
     - EURO+ .............................................   USD           11,069,000      7,775,973         2.1
  Mexico (11.7%)
    United Mexican States:
      Discount Bond Series D, 6.8125% due 12/31/19+ ......   USD           24,328,000     22,032,045         6.0
      Global Bond, 11.5 due 5/15/26 ......................   USD            7,290,000      7,873,200         2.2
      Global Bond, 9.875% due 1/15/07 ....................   USD            6,430,000      6,502,338         1.8
      Global Bond, 11.375% due 9/15/16 ...................   USD            5,793,000      6,162,304         1.7
  Nigeria (3.4%)
    Central Bank of Nigeria, Par Bond, 6.25% due
     11/15/20+/+ .........................................   USD           18,750,000     12,281,250         3.4
  Panama (3.4%)
    Republic of Panama, Interest Reduction Bond, 3.75% due
     7/17/14++ ...........................................   USD           17,850,000     12,550,781         3.4
  Peru (1.6%)
    Republic of Peru, Past Due Interest Bond, 4% due
     3/7/17 - 144A{.} ....................................   USD           10,086,000      5,749,020         1.6
  South Africa (5.0%)
    Republic of South Africa, 13% due 8/31/10{./} ........   ZAR           97,113,000     18,329,766         5.0
  United States (7.5%)
    United States Treasury:
      6.375% due 8/15/27 .................................   USD           15,337,000     15,782,732         4.3
      5.875% due 9/30/02{./} .............................   USD           11,747,000     11,811,242         3.2
  Uruguay (2.1%)
    Banco Central del Uruguay:
      Debt Conversion Bond Series B, 6.8125% due
       2/18/07+ ..........................................   USD            4,000,000      4,000,000         1.1
      Par Bond Series A, 6.75% due 2/19/21+/+ ............   USD            2,290,000      2,129,700         0.6
      Par Bond Series B, 6.75% due 2/19/21+/+ ............   USD            1,500,000      1,395,000         0.4
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F6
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (Continued)
  Venezuela (2.3%)
    Republic of Venezuela, Par Bond Series A, 6.75% due
     3/31/20+/+ ..........................................   USD           10,025,000   $  8,389,672         2.3
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $202,758,127) ...........................................                               194,327,658
                                                                                        ------------
Corporate Bonds (25.9%)
  Argentina (1.7%)
    Supermercados Norte, 10.875% due 2/9/04 - 144A{.} ....   USD            2,655,000      2,469,150         0.7
    Impsa Corp., 9.5% due 5/31/02 - 144A{.} ..............   USD            2,409,000      2,276,505         0.6
    Acindar Industrial Argentina, 11.25% due 2/15/04 .....   USD            1,497,000      1,482,030         0.4
  Brazil (0.6%)
    RBS Participacoes S.A., 11% due 4/1/07 - 144A{.} .....   USD            2,273,000      2,216,175         0.6
  Canada (0.8%)
    Pacalta Resources Ltd., 10.75% due 6/15/04 -
     144A{.} .............................................   USD            2,978,000      2,970,555         0.8
  China (2.9%)
    Panda Global Energy Co., 12.5% due 4/15/04 -
     144A{.} .............................................   USD            7,559,000      7,105,460         1.9
    Greater Beijing First, 9.5% due 6/15/07 - 144A{.} ....   USD            3,210,000      2,929,125         0.8
    Huaneng Power International PLC Convertible, 1.75% due
     5/21/04 .............................................   USD              790,000        743,390         0.2
  Dominican Republic (0.7%)
    Tricom S.A., 11.375% due 9/1/04 - 144A{.} ............   USD            2,628,000      2,601,720         0.7
  Hong Kong (1.1%)
    GS Superhighway Holdings, 9.875% due 8/15/04 -
     144A{.} .............................................   USD            2,434,000      2,281,875         0.6
    Road King Infrastructure, 9.5% due 7/15/07 -
     144A{.} .............................................   USD            2,100,000      1,958,250         0.5
  India (1.1%)
    Tata Electric Co., 8.5% due 8/19/17 - 144A{.} ........   USD            4,395,000      3,836,835         1.1
  Indonesia (3.9%)
    Polysindo International Finance, 8.9063%, due
     4/22/99 .............................................   IDR       27,500,000,000      5,114,793         1.4
    DGS International Finance Co., 10% due 6/1/07 -
     144A{.} .............................................   USD            4,961,000      4,564,120         1.3
    Tjiwi Kimia Financial Mauritius, 10% due 8/1/04 -
     144A{.} .............................................   USD            2,964,000      2,645,370         0.7
    Pratama Datakom Asia BV, 12.75% due 7/15/05 -
     144A{.} .............................................   USD            2,141,000      1,884,080         0.5
  Jamaica (1.1%)
    Mechala Group Jamaica Ltd.:
      12.75% due 12/30/99 - Series B .....................   USD            2,846,000      2,760,620         0.8
      12.75% due 12/30/99 - Reg S{c} .....................   USD            1,288,000      1,249,360         0.3
  Mexico (6.4%)
    Petroleos Mexicanos:
      9.5% due 9/15/27 - 144A{.} .........................   USD            8,768,000      8,044,640         2.2
      8.85% due 9/15/07 - 144A{.} ........................   USD            4,388,000      4,217,965         1.2
    Fideicomiso Petacalco Trust, 10.16% due 12/23/09 - Reg
     S{c} ................................................   USD            2,720,000      2,720,000         0.7
    TV Azteca, S.A. de C.V., 10.5% due 2/15/07 -
     144A{.} .............................................   USD            2,350,000      2,393,851         0.7
    Dine, S.A. de C.V., 8.75% due 10/15/07 - 144A{.} .....   USD            2,440,000      2,305,800         0.6
    Copamex Industrias S.A., 11.375% due 4/30/04 -
     144A{.} .............................................   USD            1,903,000      2,079,028         0.6
    Hylsa, S.A. de C.V., 9.25% due 9/15/07{.} ............   USD            1,560,000      1,497,600         0.4
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F7
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Corporate Bonds (Continued)
  Russia (1.3%)
    Lukinter Finance BV Convertible, 3.5% due 5/6/02 -
     144A{.} .............................................   USD            2,283,000   $  3,070,635         0.8
    Mosenergo Finance BV, 8.375% due 10/9/02 - 144A{.} ...   USD            2,184,000      1,921,920         0.5
  South Africa (4.3%)
    Eskom, 11% due 6/1/08 ................................   ZAR           94,900,000     15,718,912         4.3
                                                                                        ------------
Total Corporate Bonds (cost $103,242,812) ................                                95,059,764
                                                                                        ------------
Sovereign Debt (12.8%)
  Russia (12.8%)
    Bank for Foreign Economic Affairs (Vnesheconombank)
     Loan Agreement:
      Assignment ** -/- ..................................   USD           46,757,000     41,583,888        11.4
      Participation ** -/- ...............................   DEM            9,819,000      5,224,084         1.4
                                                                                        ------------
Total Sovereign Debt (cost $25,217,395) ..................                                46,807,972
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $331,218,334) .......                               336,195,394        91.9
                                                                                        ------------       -----
<CAPTION>
 
                                                                         UNDERLYING        VALUE         % OF NET
OPTIONS                                                     CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Federal Republic of Brazil Debt Conversion Bond, Call
   Option, strike 82.25, expires 1/12/98 (cost
   $1,032,750) ...........................................   USD           57,375,000        418,608         0.1
                                                                                        ------------       -----
    GOVERNMENT & GOVERNMENT AGENCY OBLIGATIONS
<CAPTION>
 
                                                                                           VALUE         % OF NET
REPURCHASE AGREEMENT                                                                      (NOTE 1)        ASSETS
- ----------------------------------------------------------                              ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Dated October 31, 1997, with State Street Bank & Trust
   Co., due November 3, 1997, for an effective yield of
   5.57% collateralized by $8,950,000 U.S. Treasury Bonds,
   8.875% due 8/15/17 (market value of collateral is
   $11,741,829, including accrued interest).
   (cost $11,510,781)  ...................................                                11,510,781         3.2
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $343,761,865)  * .................                               348,124,783        95.2
Other Assets and Liabilities .............................                                17,667,628         4.8
                                                                                        ------------       -----
 
NET ASSETS ...............................................                              $365,792,411       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- --------------
 
        -/-  Non-income producing security.
         **  Underlying loan agreement currently in default.
        {.}  Security exempt from registration under Rule 144A of the Securities
             Act of 1933. These securities may be resold in transactions exempt
             from registration, normally to qualified institutional buyers.
        {c}  Security issued under Regulation S. Rule 144A and additional
             restrictions may apply in the resale of such securities.
         ++  The coupon rate shown on step-up coupon bond represents the rate at
             period end.
          +  The coupon rate shown on floating rate note represents the rate at
             period end.
        +/+  Issued with detachable warrants or value recovery rights. The
             current market value of each warrant or right is zero.
       {./}  All or part of the Fund's holdings in this security is segregated
             as collateral for when-issued securities or forward currency
             contracts. See Note 1 to the Financial Statements.
          *  For Federal income tax purposes, cost is $343,911,253 and
             appreciation (depreciation) is as follows:
 
<TABLE>
                 <S>                              <C>
                 Unrealized appreciation:         $  26,533,602
                 Unrealized depreciation:           (22,320,072)
                                                  -------------
                 Net unrealized appreciation:     $   4,213,530
                                                  -------------
                                                  -------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F8
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
                 OUTSTANDING FORWARD FOREIGN CURRENCY CONTRACTS
                                OCTOBER 31, 1997
 
<TABLE>
<CAPTION>
                                                                                    UNREALIZED
                                           MARKET VALUE     CONTRACT    DELIVERY   APPRECIATION
CONTRACTS TO SELL:                        (U.S. DOLLARS)      PRICE       DATE    (DEPRECIATION)
- ----------------------------------------  --------------   -----------  --------  --------------
<S>                                       <C>              <C>          <C>       <C>
Deutsche Marks..........................     3,966,367         1.84950   11/6/97     $(268,070)
Indonesian Rupiah.......................    10,445,682     3,610.00000   11/5/97      (57,871)
South African Rand......................    24,288,532         5.04500   1/30/98     (535,715)
South African Rand......................       608,060         5.06350   1/30/98      (15,584)
                                          --------------                          --------------
  Total Contracts to Sell (Receivable
   amount $38,431,401)..................    39,308,641                               (877,240)
                                          --------------                          --------------
THE VALUE OF CONTRACTS TO SELL AS
 PERCENTAGE OF NET ASSETS IS 10.75%.
  Total Open Forward Foreign Currency
   Contracts............................                                             $(877,240)
                                                                                  --------------
                                                                                  --------------
</TABLE>
 
- ----------------
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                                       F9
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (65.6%)
  Argentina (2.0%)
    Republic of Argentina:
      Global Bond, 11% due 10/9/06 .......................   USD            5,618,000   $  5,568,843         1.3
      Global Bond, 11.375% due 1/30/17 ...................   USD            3,177,000      3,034,035         0.7
      Par Bond Series L, 5.5% due 3/31/23++ ..............   USD               95,000         64,659          --
  Australia (2.3%)
    Commonwealth of Australia, 7.5% due 9/15/09 ..........   AUD           12,500,000      9,869,508         2.3
  Brazil (0.9%)
    Republic of Brazil, Par Z-L Bond, 5.25% due
     4/15/24{./} ++ ......................................   USD            5,856,000      3,872,280         0.9
  Bulgaria (2.0%)
    Republic of Bulgaria:
      Interest Arrears Bond, 6.6875% due 7/28/11 -
       Euro{./} + ........................................   USD            6,486,000      4,260,491         1.0
      Front Loaded Interest Reduction Bond Series A, 2.25%
       due 7/28/12{./} ++ ................................   USD            7,396,000      4,030,820         1.0
  Canada (2.2%)
    Canadian Government, 8.75% due 12/1/05 ...............   CAD           10,500,000      9,075,362         2.2
  Colombia (0.6%)
    Republic of Colombia, 8.7% due 2/15/16 ...............   USD            2,538,000      2,480,895         0.6
  Costa Rica (0.9%)
    Banco Central de Costa Rica:
      Interest Bond Series A, 6.5391% due 5/21/05
       (effective maturity date 8/21/02)+ ................   USD            1,918,176      1,918,176         0.5
      Principal Bond Series A, 6.25% due 5/21/10 .........   USD            1,900,000      1,653,000         0.4
  Ecuador (0.9%)
    Discount Bond, 6.6875% due 2/28/25 - Euro+ ...........   USD            5,485,000      3,853,213         0.9
  France (1.9%)
    France O.A.T., 7.25% due 4/25/06 .....................   FRF           40,000,000      7,779,107         1.9
  Germany (11.0%)
    Deutschland Republic:
      6% due 1/5/06 ......................................   DEM           35,500,000     21,219,716         5.0
      8.25% due 9/20/01 ..................................   DEM           24,000,000     15,532,850         3.7
    Treuhandanstalt, 7.125% due 1/29/03 ..................   DEM           15,000,000      9,474,050         2.3
  Italy (4.3%)
    Italian Buoni Poliennali del Tesoro (BTPS):
      9.5% due 2/1/99 ....................................   ITL       18,000,000,000     11,092,869         2.6
    Italian Government, 7.25% due 11/1/26 ................   ITL       11,000,000,000      6,968,020         1.7
  Mexico (5.8%)
    United Mexican States:
      Discount Bond Series A, 6.6925% due 12/31/19+
       +/+ ...............................................   USD           10,849,000      9,825,126         2.3
      Global Bond, 11.5% due 5/15/26 .....................   USD            7,755,000      8,375,400         2.0
      Global Bond, 9.875% due 1/15/07 ....................   USD            3,045,000      3,079,256         0.7
      Global Bond, 11.375% due 9/15/16 ...................   USD            2,744,000      2,918,930         0.7
      Discount Bond Series D, 6.8125% due 12/31/19+ ......   USD              672,000        608,580         0.1
  Netherlands (1.5%)
    Netherlands Government Bond, 5.75% due 2/15/07 .......   NLG           12,000,000      6,260,896         1.5
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F10
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (Continued)
  New Zealand (1.9%)
    New Zealand Government, 8% due 4/15/04 ...............   NZD           12,000,000   $  7,987,351         1.9
  Nigeria (1.7%)
    Central Bank of Nigeria, Par Bond, 6.25% due
     11/15/20{./} +/+ ....................................   USD           11,000,000      7,205,000         1.7
  Panama (3.6%)
    Republic of Panama:
      Interest Reduction Bond, 3.75% due 7/17/14++ .......   USD           16,705,000     11,745,703         2.8
      7.875% due 2/13/02 - 144A{.} .......................   USD            3,360,000      3,200,400         0.8
  Peru (0.6%)
    Republic of Peru, Past Due Interest Bond, 4% due
     3/7/17 - 144A++ {.} .................................   USD            4,776,000      2,722,320         0.6
  South Africa (2.2%)
    Republic of South Africa, 13% due 8/31/10 ............   ZAR           48,561,000      9,165,732         2.2
  Spain (2.0%)
    Spain Government, 10.5% due 10/30/03 .................   ESP        1,000,000,000      8,546,967         2.0
  Sweden (1.3%)
    Swedish Government, 8% due 8/15/07 ...................   SEK           37,000,000      5,511,856         1.3
  United Kingdom (6.6%)
    United Kingdom Treasury, 7% due 6/7/02 ...............   GBP           11,900,000     20,234,192         4.8
    United Kingdom Conversion, 9.5% due 4/18/05 ..........   GBP            3,800,000      7,429,344         1.8
  United States (8.1%)
    United States Treasury:
      5.875% due 9/30/02{./} .............................   USD           12,865,000     12,935,356         3.1
      6.875% due 8/15/25{./} {z} .........................   USD            8,000,000      8,686,250         2.1
      6.375% due 8/15/27 .................................   USD            8,293,000      8,534,015         2.0
      6.50% due 10/15/06{z} ..............................   USD            3,500,000      3,639,111         0.9
  Uruguay (0.3%)
    Banco Central del Uruguay, Par Bond Series A, 6.75%
     due2/19/21{./} +/ + .................................   USD            1,370,000      1,274,100         0.3
  Venezuela (1.0%)
    Republic of Venezuela:
      Par Bond Series A, 6.75% due 3/31/20{./} +/+ .......   USD            4,880,000      4,083,950         1.0
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $281,695,109) ...........................................                               275,717,729
                                                                                        ------------
Corporate Bonds (10.5%)
  Argentina (0.5%)
    Impsa Corp., 9.5% due 5/31/02 - 144A{.} ..............   USD            1,377,000      1,301,265         0.3
    Acindar Industrial Argentina, 11.25% due 2/15/04 .....   USD              816,000        807,840         0.2
  Brazil (0.3%)
    RBS Participacoes S.A., 11% due 4/1/07 - 144A{.} .....   USD            1,278,000      1,246,050         0.3
  China (1.1%)
    Panda Global Energy Co., 12.5% due 4/15/04 -
     144A{.} .............................................   USD            3,145,000      2,956,300         0.7
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F11
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Corporate Bonds (Continued)
    Greater Beijing First, 9.5% due 6/15/07 - 144A{.} ....   USD            1,720,000   $  1,569,500         0.4
  Denmark (1.0%)
    Realkredit Danmark, 6% due 10/1/26 ...................   DKK           30,000,000      4,226,028         1.0
  Dominican Republic (0.3%)
    Tricom S.A., 11.375% due 9/1/04 - 144A{.} ............   USD            1,294,000      1,281,060         0.3
  Ecuador (0.4%)
    Pacalta Resources Ltd., 10.75% due 6/15/04 -
     144A{.} .............................................   USD            1,601,000      1,596,998         0.4
  Hong Kong (0.5%)
    GS Superhighway Holdings, 9.875% due 8/15/04 -
     144A{.} .............................................   USD            1,210,000      1,134,375         0.3
    Road King Infrastructure, 9.5% due 7/15/07 -
     144A{.} .............................................   USD            1,100,000      1,025,750         0.2
  India (0.4%)
    Tata Electric Co., 8.5% due 8/19/17 - 144A{.} ........   USD            2,151,000      1,877,823         0.4
  Indonesia (1.1%)
    DGS International Finance Co., 10% due 6/1/07 -
     144A{.} .............................................   USD            2,717,000      2,499,640         0.6
    Tjiwi Kimia Financial Mauritius, 10% due 8/1/04 -
     144A{.} .............................................   USD            1,471,000      1,312,868         0.3
    Pratama Datakom Asia BV, 12.75% due 7/15/05 -
     144A{.} .............................................   USD            1,134,000        997,920         0.2
  Jamaica (0.2%)
    Mechala Group Jamaica, 12.75% due 12/30/99 - Reg
     S{c} ................................................   USD              719,000        697,430         0.2
  Mexico (2.5%)
    Petroleos Mexicanos:
      9.5% due 9/15/27 - 144A{.} .........................   USD            4,224,000      3,875,520         0.9
      8.85% due 9/15/07 - 144A{.} ........................   USD            2,108,000      2,026,315         0.5
    TV Azteca, S.A. de C.V., 10.5% due 2/15/07 -
     144A{.} .............................................   USD            1,300,000      1,324,258         0.3
    Copamex Industrias S.A., 11.375% due 4/30/04 -
     144A{.} .............................................   USD            1,134,000      1,238,895         0.3
    Dine, S.A. de C.V., 8.75% due 10/15/07 - 144A{.} .....   USD            1,140,000      1,077,300         0.3
    Hylsa, S.A. de C.V., 9.25% due 9/15/07{.} ............   USD              760,000        729,600         0.2
  Russia (0.7%)
    Lukinter Finance BV Convertible, 3.5% due 5/6/02 -
     144A{.} .............................................   USD            1,526,000      2,052,470         0.5
    Mosenergo Finance BV, 8.375% due 10/9/02 - 144A{.} ...   USD            1,040,000        915,200         0.2
  South Africa (0.2%)
    Eskom, 11% due 6/1/08 ................................   ZAR            6,175,000      1,022,806         0.2
  United States (1.3%)
    Chase Manhattan Corp., 6.25% due 1/15/06{z} ..........   USD            2,835,000      2,774,864         0.7
    General Motors Acceptance Corp., 6.625% due
     10/15/05 ............................................   USD            2,700,000      2,719,405         0.6
                                                                                        ------------
Total Corporate Bonds (cost $45,203,836) .................                                44,287,480
                                                                                        ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F12
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                                         PRINCIPAL         VALUE         % OF NET
FIXED INCOME INVESTMENTS                                    CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Mortgage Backed (9.9%)
  United States (9.9%)
    Government National Mortgage Association TBA Pass Thru
     Pool, 6.5% due11/15/27{*} ...........................   USD           28,000,000   $ 27,693,764         6.6
    Federal National Mortgage Association Pool:
      #313439, 7% due 3/1/04 .............................   USD            9,718,752      9,837,204         2.3
      7.25% due 6/20/02{./} ..............................   NZD            7,000,000      4,382,081         1.0
                                                                                        ------------
Total Mortgage Backed (cost $42,198,154) .................                                41,913,049
                                                                                        ------------
Sovereign Debt (7.3%)
  Russia (7.3%)
    Bank for Foreign Economic Affairs (Vnesheconombank)
     Loan Agreement:
      Assignment ** -/- ..................................   USD           31,585,000     28,090,723         6.7
      Participation ** -/- ...............................   DEM            4,566,000      2,429,287         0.6
                                                                                        ------------
Total Sovereign Debt (cost $16,899,775) ..................                                30,520,010
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $385,996,874) .......                               392,438,268        93.3
                                                                                        ------------       -----
<CAPTION>
 
                                                                         UNDERLYING        VALUE         % OF NET
OPTIONS                                                     CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Federal Republic of Brazil Debt Conversion Bond, Call
   Option, strike 82.25, expires 1/12/98 (cost
   $567,036) .............................................   USD           31,502,000        229,839         0.1
                                                                                        ------------       -----
    GOVERNMENT & GOVERNMENT AGENCY OBLIGATIONS
<CAPTION>
 
                                                                         PRINCIPAL         VALUE         % OF NET
SHORT-TERM INVESTMENTS                                      CURRENCY       AMOUNT         (NOTE 1)        ASSETS
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Commercial Paper - Discounted (6.6%)
  United States (6.6%)
    Ford Motor Credit Corp., effective yield 5.50%, due
     11/19/97{./} ........................................   USD           19,000,000     18,947,940         4.5
    General Electric Capital Corp., effective yield 5.50%,
     due 11/19/97{./ } ...................................   USD            9,000,000      8,975,340         2.1
                                                                                        ------------
Total Commercial Paper - Discounted (cost $27,923,280) ...                                27,923,280
                                                                                        ------------       -----
 
TOTAL SHORT-TERM INVESTMENTS (cost $27,923,280) ..........                              $ 27,923,280         6.6
                                                                                        ------------       -----
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F13
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                           VALUE         % OF NET
REPURCHASE AGREEMENT                                                                      (NOTE 1)        ASSETS
- ----------------------------------------------------------                              ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Dated October 31, 1997, with State Street Bank & Trust
   Co., due November 3, 1997, for an effective yield of
   5.57%, collateralized by $7,860,000 U.S. Treasury
   Bonds, 8.875% due 8/15/17 (market value of collateral
   is $10,311,818, including accrued interest).
   (cost $10,107,564)  ...................................                              $ 10,107,564         2.4
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $424,594,754)  * .................                               430,698,951       102.4
Other Assets and Liabilities .............................                               (10,075,156)       (2.4)
                                                                                        ------------       -----
 
NET ASSETS ...............................................                              $420,623,795       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- --------------
 
        -/-  Non-income producing security.
         **  Underlying loan agreement currently in default.
        {.}  Security exempt from registration under Rule 144A of the Securities
             Act of 1933. These securities may be resold in transactions exempt
             from registration, normally to qualified institutional buyers.
        {c}  Security issued under Regulation S. Rule 144A and additional
             restrictions may apply in the resale of such securities.
        {z}  All or part of the Fund's holdings in this security is segregated
             as collateral for written futures. See Note 1 to the Financial
             Statements.
         ++  The coupon rate shown on step-up coupon bond represents the rate at
             period end.
       {./}  All or part of the Fund's holdings in this security is segregated
             as collateral for when-issued securities or forward currency
             contracts. See Note 1 to the Financial Statements.
          +  The coupon rate shown on floating rate note represents the rate at
             period end.
        +/+  Issued with detachable warrants or value recovery rights. The
             current market value of each warrant or right is zero.
        {*}  Purchased on a forward commitment basis.
          *  For Federal income tax purposes, cost is $425,319,173 and
             appreciation (depreciation) is as follows:
 
<TABLE>
                 <S>                              <C>
                 Unrealized appreciation:         $  21,044,316
                 Unrealized depreciation:           (15,664,538)
                                                  -------------
                 Net unrealized appreciation:     $   5,379,778
                                                  -------------
                                                  -------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F14
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       PORTFOLIO OF INVESTMENTS  (cont'd)
 
                                October 31, 1997
 
- --------------------------------------------------------------------------------
                 FORWARD FOREIGN CURRENCY CONTRACTS OUTSTANDING
                                OCTOBER 31, 1997
<TABLE>
<CAPTION>
                                          MARKET VALUE                           UNREALIZED
                                             (U.S.       CONTRACT    DELIVERY   APPRECIATION
CONTRACTS TO BUY:                           DOLLARS)       PRICE       DATE    (DEPRECIATION)
- ----------------------------------------  ------------  -----------  --------  --------------
<S>                                       <C>           <C>          <C>       <C>
Australian Dollars......................     3,022,847      1.37155   11/6/97    $(112,283)
British Pounds..........................    16,534,161      0.62123    2/5/98      485,452
British Pounds..........................    11,608,739      0.60397    2/5/98       18,839
Danish Kroner...........................     7,886,019      6.86340    2/5/98      382,449
Deutsche Marks..........................    25,918,384      1.77087    2/5/98      818,384
Deutsche Marks..........................    24,380,246      1.81000    2/5/98    1,280,246
Deutsche Marks..........................    11,573,533      1.74950    2/5/98      228,533
Deutsche Marks..........................     5,831,060      1.70250    2/5/98      (42,655)
Deutsche Marks..........................     4,932,669      1.82070    2/5/98      286,489
Deutsche Marks..........................     3,702,605      1.77285    2/5/98      120,916
Italian Liras...........................     6,451,334  1,697.68000    2/5/98        1,355
Italian Liras...........................     3,240,396  1,766.50000    2/5/98      126,895
Netherland Guilders.....................     6,358,320      1.97453    2/5/98      144,185
Spanish Pasetas.........................     8,955,096    148.86800    2/5/98      222,526
                                          ------------                         --------------
  Total Contracts to Buy (Payable amount
   $136,434,078)........................   140,395,409                           3,961,331
                                          ------------                         --------------
THE VALUE OF CONTRACTS TO BUY AS
 PERCENTAGE OF NET ASSETS IS 33.38%.
 
<CAPTION>
 
CONTRACTS TO SELL:
- ----------------------------------------
<S>                                       <C>           <C>          <C>       <C>
Australian Dollars......................     7,838,313      1.44611   11/6/97     (127,976)
Australian Dollars......................     4,674,868      1.36032   11/6/97      213,680
British Pounds..........................    11,858,437      0.61312   11/6/97     (327,267)
British Pounds..........................     4,864,140      0.63386   11/6/97     (289,013)
British Pounds..........................    11,724,826      0.62274    2/5/98     (371,820)
Canadian Dollars........................     1,774,056      1.38250   11/6/97       34,262
Danish Kroner...........................     7,847,141      6.95000   11/6/97     (437,069)
Deutsche Marks..........................    44,512,909      1.71600    2/5/98      (27,133)
Deutsche Marks..........................    16,981,429      1.72000    2/5/98      (49,819)
Deutsche Marks..........................    15,337,714      1.71800    2/5/98      (27,194)
Deutsche Marks..........................     3,280,903      1.71600    2/5/98       (2,000)
Italian Lira............................     9,691,730  1,696.15000    2/5/98        6,705
Netherland Guilders.....................     6,321,484      2.05140   11/6/97     (340,203)
New Zealand Dollars.....................    12,132,719      1.57878   11/6/97      212,247
South African Rand......................     7,285,042      5.04500   1/30/98     (160,681)
Spanish Pesetas.........................     8,939,623    154.70000   11/6/97     (536,262)
                                          ------------                         --------------
  Total Contracts to Sell (Receivable
   amount $172,835,791).................   175,065,334                          (2,229,543)
                                          ------------                         --------------
THE VALUE OF CONTRACTS TO SELL AS
 PERCENTAGE OF NET ASSETS IS 41.62%.
  Total Open Forward Foreign Currency
   Contracts, Net.......................                                         $1,731,788
                                                                               --------------
                                                                               --------------
</TABLE>
 
- --------------
See Note 1 to the financial statements.
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                     WRITTEN FUTURES CONTRACTS OUTSTANDING
                                OCTOBER 31, 1997
 
<TABLE>
<CAPTION>
                                           MATURITY     NO. OF                  MARKET
DESCRIPTION                                  DATE      CONTRACTS   CURRENCY     VALUE
- ----------------------------------------  ----------   ---------   --------   ----------
<S>                                       <C>          <C>         <C>        <C>
U.S. 10-Year Bond Future (face
 $8,849,548)............................    12/19/97      80         USD      $8,902,400
</TABLE>
 
- ----------------
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F15
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                              STATEMENTS OF ASSETS
                                 AND LIABILITIES
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                               GT GLOBAL
                                                                                  ------------------------------------
                                                                                                  HIGH
                                                                                                 INCOME
                                                                                  GOVERNMENT      FUND-     STRATEGIC
                                                                                    INCOME     CONSOLIDATED   INCOME
                                                                                     FUND       (NOTE 1)       FUND
                                                                                  -----------  -----------  ----------
<S>                                                                               <C>          <C>          <C>
Assets:
  Investments in securities, at value (cost $290,266,878; $343,761,865; and
   $424,594,754, respectively) (Note 1).........................................  $290,274,619 3$48,124,783 $430,698,951
  U.S. currency.................................................................           63     598,195      906,033
  Foreign Currencies (Cost $562,392; $2,793,297; and $740,247, respectively)....      572,795   2,785,516      734,313
  Interest receivable...........................................................    5,620,712   6,748,730    7,672,126
  Receivable for Fund shares sold...............................................    1,790,045     757,060      523,422
  Receivable for open forward foreign currency contracts (Note 1)...............    3,976,639          --    1,731,788
  Receivable for securities sold................................................   12,795,967  21,411,490   16,967,090
  Miscellaneous receivable......................................................           --      17,246      105,000
                                                                                  -----------  -----------  ----------
    Total assets................................................................  315,030,840  380,443,020  459,338,723
                                                                                  -----------  -----------  ----------
Liabilities:
  Payable for custodian fees (Note 1)...........................................       13,985      19,132       31,825
  Payable for Directors' and Trustees' fees and expenses (Note 2)...............        7,943      10,881        5,472
  Payable for forward foreign currency contracts -- closed (Note 1).............    6,013,174          --    3,799,153
  Payable for fund accounting fees (Note 2).....................................        6,285       9,778        9,847
  Payable for Fund shares repurchased (Note 2)..................................   13,090,101   3,038,650    1,446,639
  Payable for investment management and administration fees (Note 2)............      177,596     341,976      278,408
  Payable for loan outstanding (Note 1).........................................    4,451,000          --           --
  Payable for open forward foreign currency contracts (Note 1)..................           --     877,240           --
  Payable for printing and postage expenses.....................................      109,344      79,859       85,448
  Payable for professional fees.................................................       37,427      52,845       28,107
  Payable for registration and filing fees......................................       16,015       5,502       14,782
  Payable for securities purchased..............................................    8,707,277   9,848,640   32,628,138
  Payable for service and distribution expenses (Note 2)........................      160,788     285,897      310,485
  Payable for transfer agent fees (Note 2)......................................      121,280      60,286       63,713
  Payable for variation margin..................................................           --          --        5,000
  Payable for written options, at value.........................................          406          --           --
  Other accrued expenses........................................................        8,741      19,823        7,911
                                                                                  -----------  -----------  ----------
    Total liabilities...........................................................   32,921,362  14,650,509   38,714,928
    Minority interest (Notes 1 & 2).............................................           --         100           --
                                                                                  -----------  -----------  ----------
Net assets......................................................................  $282,109,478 3$65,792,411 $420,623,795
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
Class A:
Net asset value and offering price per share ($154,272,250 DIVIDED BY
 17,888,878; $133,972,818 DIVIDED BY 8,609,881; and $138,714,970 DIVIDED BY
 11,557,042 shares outstanding, respectively)...................................  $      8.62   $   15.56   $    12.00
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
Maximum offering price per share (100/95.25 of $8.62; 100/95.25 of $15.56; and
 100/95.25 of $12.00, respectively) *...........................................  $      9.05   $   16.34   $    12.60
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
Class B:+
Net asset value and offering price per share ($127,721,696 DIVIDED BY
 14,819,308; $228,100,869 DIVIDED BY 14,675,701; and $281,375,602 DIVIDED BY
 23,423,332 shares outstanding, respectively)...................................  $      8.62   $   15.54   $    12.01
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
Advisor Class:
Net asset value, offering price per share, and redemption price per share
 ($115,532 DIVIDED BY 13,411; $3,718,724 DIVIDED BY 239,667; and $533,223
 DIVIDED BY 44,355 shares outstanding, respectively)............................  $      8.61   $   15.52   $    12.02
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
Net assets consist of:
  Paid in capital (Note 4)......................................................  $424,806,101 2$94,116,233 $485,352,425
  Undistributed net investment income/(distribution in excess of income)........           --     303,600   (3,351,006)
  Accumulated net realized gain (loss) on investments...........................  (146,657,834) 67,929,136  (69,137,537)
  Net unrealized appreciation (depreciation) on translation of assets and
   liabilities in foreign currencies............................................    3,909,203    (919,476)   1,745,551
  Net unrealized appreciation of investments....................................       52,008   4,362,918    6,014,362
                                                                                  -----------  -----------  ----------
Total -- representing net assets applicable to capital shares outstanding.......  $282,109,478 3$65,792,411 $420,623,795
                                                                                  -----------  -----------  ----------
                                                                                  -----------  -----------  ----------
<FN>
- ----------------
    * On sales of $50,000 or more, the offering price is reduced.
    + Redemption price per share is equal to the net asset value per share less
      any applicable contingent deferred sales charge.
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F16
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                            STATEMENTS OF OPERATIONS
 
                          Year ended October 31, 1997
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                  GT GLOBAL
                                                                    -------------------------------------
                                                                                    HIGH
                                                                                   INCOME
                                                                    GOVERNMENT      FUND-      STRATEGIC
                                                                      INCOME     CONSOLIDATED   INCOME
                                                                       FUND       (NOTE 1)       FUND
                                                                    -----------  -----------  -----------
<S>                                                                 <C>          <C>          <C>
Investment income:
  Interest income.................................................  $24,435,113  $40,562,334  $36,075,707
  Other income....................................................       51,190           --       26,003
                                                                    -----------  -----------  -----------
    Total investment income.......................................   24,486,303   40,562,334   36,101,710
                                                                    -----------  -----------  -----------
Expenses:
  Investment management and administration fees (Note 2)..........    2,403,043    4,107,638    3,474,804
  Amortization of organization costs (Note 1).....................           --       34,678           --
  Custodian Fees (Note 1).........................................      203,911      182,500      256,523
  Directors' and Trustees' fees and expenses (Note 2).............       14,600       19,345       13,962
  Fund accounting fees (Note 2)...................................       85,149      116,607      123,309
  Printing and postage expenses...................................      131,035       88,337      144,457
  Professional fees...............................................       79,570      119,674       81,841
  Registration and filing fees (Note 1)...........................       52,925       68,590       44,726
  Service and distribution expenses: (Note 2)
    Class A.......................................................      672,237      605,133      560,886
    Class B.......................................................    1,392,802    2,653,190    3,185,408
  Transfer agent fees (Note 2)....................................      734,235      676,490      831,440
  Other expenses (Note 1).........................................      132,382      187,152      264,542
                                                                    -----------  -----------  -----------
    Total expenses before reductions..............................    5,901,889    8,859,334    8,981,898
                                                                    -----------  -----------  -----------
    Expense reductions (Note 1)...................................     (543,589)    (234,784)    (460,682)
                                                                    -----------  -----------  -----------
  Total net expenses..............................................    5,358,300    8,624,550    8,521,216
                                                                    -----------  -----------  -----------
Net investment income.............................................   19,128,003   31,937,784   27,580,494
                                                                    -----------  -----------  -----------
Net realized and unrealized gain (loss) on investments: (Note 1)
  Net realized gain (loss) on investments.........................   (6,424,453)  65,778,885   35,321,536
  Net realized gain on foreign currency transactions..............    6,670,567    3,923,861    4,176,477
                                                                    -----------  -----------  -----------
    Net realized gain during the year.............................      246,114   69,702,746   39,498,013
                                                                    -----------  -----------  -----------
  Net change in unrealized appreciation(depreciation) on
   translation of assets and liabilities in foreign currencies....    5,553,094   (1,099,793)   2,627,595
  Net change in unrealized appreciation of investments............  (11,452,067) (36,470,606) (26,190,807)
                                                                    -----------  -----------  -----------
    Net unrealized depreciation during the year...................   (5,898,973) (37,570,399) (23,563,212)
                                                                    -----------  -----------  -----------
Net realized and unrealized gain (loss) on investments and foreign
 currencies.......................................................   (5,652,859)  32,132,347   15,934,801
                                                                    -----------  -----------  -----------
Net increase in net assets resulting from operations..............  $13,475,144  $64,070,131  $43,515,295
                                                                    -----------  -----------  -----------
                                                                    -----------  -----------  -----------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F17
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                      STATEMENTS OF CHANGES IN NET ASSETS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                 GT GLOBAL
                                          ----------------------------------------------------------------------------------------
                                                                                HIGH INCOME
                                             GOVERNMENT INCOME FUND          FUND-CONSOLIDATED           STRATEGIC INCOME FUND
                                          ----------------------------  ----------------------------  ----------------------------
                                           YEAR ENDED     YEAR ENDED     YEAR ENDED     YEAR ENDED     YEAR ENDED     YEAR ENDED
                                           OCTOBER 31,    OCTOBER 31,    OCTOBER 31,    OCTOBER 31,    OCTOBER 31,    OCTOBER 31,
                                              1997           1996           1997           1996           1997           1996
                                          -------------  -------------  -------------  -------------  -------------  -------------
<S>                                       <C>            <C>            <C>            <C>            <C>            <C>
Increase (decrease) in net assets
Operations:
  Net investment income.................  $  19,128,003  $  31,802,934  $  31,937,784  $  37,117,017  $  27,580,494  $  40,286,756
  Net realized gain (loss) on
   investments and foreign currency
   transactions.........................        246,114     (1,896,895)    69,702,746     62,517,472     39,498,013     36,675,981
  Net change in unrealized appreciation
   (depreciation) on translation of
   assets and liabilities in foreign
   currencies...........................      5,553,094      2,319,205     (1,099,793)       174,082      2,627,595      1,913,734
  Net change in unrealized appreciation
   (depreciation) of investments........    (11,452,067)    (1,121,083)   (36,470,606)    31,730,913    (26,190,807)    27,794,834
                                          -------------  -------------  -------------  -------------  -------------  -------------
    Net increase in net assets resulting
     from operations....................     13,475,144     31,104,161     64,070,131    131,539,484     43,515,295    106,671,305
                                          -------------  -------------  -------------  -------------  -------------  -------------
Class A:
Distributions to shareholders: (Note 1)
  From net investment income............     (6,827,721)   (15,504,590)   (12,555,399)   (13,418,057)   (10,228,265)   (12,520,881)
  From net realized gain on
   investments..........................             --     (8,183,323)    (2,751,509)    (1,230,117)            --             --
  In excess of net investment income....     (4,449,488)            --             --             --       (775,601)    (1,097,884)
Class B:
Distributions to shareholders: (Note 1)
  From net investment income............     (4,503,257)    (9,165,193)   (17,789,317)   (18,753,394)   (18,434,103)   (22,200,673)
  From net realized gain on
   investments..........................             --     (5,303,358)    (3,911,565)    (1,719,241)            --             --
  In excess of net investment income....     (2,934,682)            --             --             --     (1,397,843)    (1,946,649)
Advisor Class:
Distributions to shareholders: (Note 1)
  From net investment income............         (4,070)        (7,915)    (1,289,469)      (505,715)       (43,148)       (46,547)
  From net realized gain on
   investments..........................             --         (2,893)      (264,339)       (46,362)            --             --
  In excess of net investment income....         (2,653)            --             --             --         (3,272)        (4,081)
                                          -------------  -------------  -------------  -------------  -------------  -------------
    Total distributions.................    (18,721,871)   (38,167,272)   (38,561,598)   (35,672,886)   (30,882,232)   (37,816,715)
                                          -------------  -------------  -------------  -------------  -------------  -------------
Capital share transactions: (Note 4)
  Increase from capital shares sold and
   reinvested...........................    667,541,828    386,482,407    561,523,639    583,133,415    335,031,026    335,665,174
  Decrease from capital shares
   repurchased..........................   (787,794,141)  (592,826,606)  (665,858,246)  (592,743,855)  (445,823,540)  (432,196,117)
                                          -------------  -------------  -------------  -------------  -------------  -------------
    Net decrease from capital share
     transactions.......................   (120,252,313)  (206,344,199)  (104,334,607)    (9,610,440)  (110,792,514)   (96,530,943)
                                          -------------  -------------  -------------  -------------  -------------  -------------
Total increase (decrease) in net
 assets.................................   (125,499,040)  (213,407,310)   (78,826,074)    86,256,158    (98,159,451)   (27,676,353)
Net assets:
  Beginning of year.....................    407,608,518    621,015,828    444,618,485    358,362,327    518,783,246    546,459,599
                                          -------------  -------------  -------------  -------------  -------------  -------------
  End of year  *........................  $ 282,109,478  $ 407,608,518  $ 365,792,411  $ 444,618,485  $ 420,623,795  $ 518,783,246
                                          -------------  -------------  -------------  -------------  -------------  -------------
                                          -------------  -------------  -------------  -------------  -------------  -------------
 * Includes undistributed (distributions
   in excess of) net investment income..  $          --  $     364,918  $     303,600  $          --  $  (3,351,006) $          --
                                          -------------  -------------  -------------  -------------  -------------  -------------
                                          -------------  -------------  -------------  -------------  -------------  -------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F18
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS A
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                           1997 (D)    1996 (D)    1995 (D)    1994 (D)    1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $    8.74   $    8.81   $    8.63   $   11.07   $    9.83
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       0.52        0.57        0.62        0.65        0.74
  Net realized and unrealized gain
   (loss) on investments................      (0.13)       0.03        0.15       (1.52)       1.34
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       0.39        0.60        0.77       (0.87)       2.08
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (0.31)      (0.57)      (0.59)      (0.65)      (0.74)
  From net realized gain on
   investments..........................         --       (0.10)         --       (0.27)         --
  In excess of net investment income....      (0.20)         --          --          --          --
  In excess of net realized gain on
   investments..........................         --          --          --       (0.55)         --
  Return of capital.....................         --          --          --       (0.10)         --
  From sources other than net investment
   income...............................         --          --          --          --       (0.10)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (0.51)      (0.67)      (0.59)      (1.57)      (0.84)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $    8.62   $    8.74   $    8.81   $    8.63   $   11.07
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............       4.78%       7.11%       9.22%      (8.87)%      21.9%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 154,272   $ 240,945   $ 385,404   $ 502,094   $ 708,301
Ratio of net investment income to
 average net assets.....................       6.04%       6.52%       6.98%       6.87%        7.1%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       1.34%       1.34%       1.35%       1.33%        1.4%
  Without expense reductions............       1.51%       1.39%       1.38%        N/A         N/A
Portfolio turnover rate++...............        241%        268%        385%        625%        495%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares.
N/A  Not Applicable.
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F19
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS B
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                           1997 (D)    1996 (D)    1995 (D)    1994 (D)    1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $    8.74   $    8.80   $    8.64   $   11.07   $    9.83
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       0.46        0.51        0.55        0.59        0.67
  Net realized and unrealized gain
   (loss) on investments................      (0.12)       0.04        0.14       (1.52)       1.34
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       0.34        0.55        0.69       (0.93)       2.01
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (0.28)      (0.51)      (0.53)      (0.59)      (0.67)
  From net realized gain on
   investments..........................         --       (0.10)         --       (0.27)         --
  In excess of net investment income....      (0.18)         --          --          --          --
  In excess of net realized gain on
   investments..........................         --          --          --       (0.54)         --
  Return of capital.....................         --          --          --       (0.10)         --
  From sources other than net investment
   income...............................         --          --          --          --       (0.10)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (0.46)      (0.61)      (0.53)      (1.50)      (0.77)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $    8.62   $    8.74   $    8.80   $    8.64   $   11.07
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............       4.00%       6.54%       8.22%      (9.39)%      21.1%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 127,722   $ 166,577   $ 235,481   $ 262,405   $ 182,972
Ratio of net investment income to
 average net assets.....................       5.39%       5.87%       6.33%       6.22%        6.5%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       1.99%       1.99%       2.00%       1.98%        2.0%
  Without expense reductions............       2.16%       2.04%       2.03%        N/A         N/A
Portfolio turnover rate++...............        241%        268%        385%        625%        495%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares.
N/A  Not Applicable.
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F20
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
                                                       ADVISOR CLASS+
                                          -----------------------------------------
                                                                      JUNE 1, 1995
                                           YEAR ENDED    YEAR ENDED        TO
                                          OCTOBER 31,   OCTOBER 31,    OCTOBER 31,
                                            1997 (D)      1996 (D)      1995 (D)
                                          ------------  ------------  -------------
<S>                                       <C>           <C>           <C>
Per Share Operating Performance:
Net asset value, beginning of period....   $    8.73     $    8.80      $    8.98
                                          ------------  ------------  -------------
Income from investment operations:
  Net investment income.................        0.55          0.60           0.26
  Net realized and unrealized gain
   (loss) on investments................       (0.13)         0.03          (0.19)
                                          ------------  ------------  -------------
    Net increase (decrease) from
     investment operations..............        0.42          0.63           0.07
                                          ------------  ------------  -------------
Distributions to shareholders:
  From net investment income............       (0.33)        (0.60)         (0.25)
  From net realized gain on
   investments..........................          --         (0.10)            --
  In excess of net investment income....       (0.21)           --             --
  In excess of net realized gain on
   investments..........................          --            --             --
  Return of capital.....................          --            --             --
  From sources other than net investment
   income...............................          --            --             --
                                          ------------  ------------  -------------
    Total distributions.................       (0.54)        (0.70)         (0.25)
                                          ------------  ------------  -------------
Net asset value, end of period..........   $    8.61     $    8.73      $    8.80
                                          ------------  ------------  -------------
                                          ------------  ------------  -------------
 
Total investment return (c).............        5.15 %        7.49 %         0.83%(b)
Ratios and supplemental data:
Net assets, end of period (in 000's)....   $     116     $      86      $     131
Ratio of net investment income to
 average net assets.....................        6.39 %        6.87 %         7.33%(a)
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        0.99 %        0.99 %         1.00%(a)
  Without expense reductions............        1.16 %        1.04 %         1.03%(a)
Portfolio turnover rate++...............         241 %         268 %          385%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares.
N/A  Not Applicable.
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F21
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout the period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS A
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                           1997 (D)    1996 (D)      1995      1994 (D)    1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $   14.85   $   11.70   $   12.56   $   14.92   $   11.43
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       1.19        1.27        1.35        0.94        0.78
  Net realized and unrealized gain
   (loss) on investments................       0.93        3.09       (1.09)      (1.87)       3.92
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       2.12        4.36        0.26       (0.93)       4.70
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (1.18)      (1.11)      (1.03)      (0.94)      (0.78)
  From net realized gain on
   investments..........................      (0.23)      (0.10)      (0.03)      (0.27)         --
  In excess of net realized gain on
   investments..........................         --          --          --       (0.22)         --
  Return of capital.....................         --          --       (0.06)         --          --
  From sources other than net investment
   income...............................         --          --          --          --       (0.43)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (1.41)      (1.21)      (1.12)      (1.43)      (1.21)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $   15.56   $   14.85   $   11.70   $   12.56   $   14.92
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............      14.46%      39.05%       2.81%      (6.45)%      43.6%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 133,973   $ 178,318   $ 142,002   $ 167,974   $ 143,171
Ratio of net investment income to
 average net assets.....................       7.39%       9.52%      11.85%       7.00%       6.40%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       1.53%       1.69%       1.75%       1.57%       2.20%
  Without expense reductions............       1.58%       1.69%       1.75%       1.57%       2.20%
Ratio of interest expense to average net
 assets.................................        N/A        0.04%        N/A        0.22%        N/A
Portfolio turnover rate++...............        214%        290%        213%        178%        195%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share operating data were calculated based upon
     average shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the fund as a whole
     without distinguishing among the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F22
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout the period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS B
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                           1997 (D)    1996 (D)      1995      1994 (D)    1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $   14.83   $   11.69   $   12.56   $   14.90   $   11.43
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       1.09        1.17        1.27        0.86        0.70
  Net realized and unrealized gain
   (loss) on investments................       0.93        3.09       (1.09)      (1.85)       3.90
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       2.02        4.26        0.18       (0.99)       4.60
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (1.08)      (1.03)      (0.96)      (0.86)      (0.70)
  From net realized gain on
   investments..........................      (0.23)      (0.09)      (0.03)      (0.27)         --
  In excess of net realized gain on
   investments..........................         --          --          --       (0.22)         --
  Return of capital.....................         --          --       (0.06)         --          --
  From sources other than net investment
   income...............................         --          --          --          --       (0.43)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (1.31)      (1.12)      (1.05)      (1.35)      (1.13)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $   15.54   $   14.83   $   11.69   $   12.56   $   14.90
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............      13.77%      38.16%       2.07%      (6.99)%      42.6%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 228,101   $ 251,002   $ 214,897   $ 232,423   $ 127,035
Ratio of net investment income to
 average net assets.....................       6.74%       8.87%      11.20%       6.35%        5.8%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       2.18%       2.34%       2.40%       2.22%        2.8%
  Without expense reductions............       2.23%       2.34%       2.40%       2.22%        2.8%
Ratio of interest expense to average net
 assets.................................        N/A        0.04%        N/A        0.22%        N/A
Portfolio turnover rate++...............        214%        290%        213%        178%        195%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share operating data were calculated based upon
     average shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the fund as a whole
     without distinguishing among the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F23
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout the period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                      ADVISOR CLASS+
                                          --------------------------------------
                                                                    JUNE 1, 1995
                                          YEAR ENDED   YEAR ENDED        TO
                                          OCTOBER 31,  OCTOBER 31,  OCTOBER 31,
                                           1997 (D)     1996 (D)        1995
                                          -----------  -----------  ------------
<S>                                       <C>          <C>          <C>
Per Share Operating Performance:
Net asset value, beginning of period....   $   14.83    $   11.71    $   11.44
                                          -----------  -----------  ------------
Income from investment operations:
  Net investment income.................        1.22         1.34         0.57
  Net realized and unrealized gain
   (loss) on investments................        0.93         3.05         0.17
                                          -----------  -----------  ------------
    Net increase (decrease) from
     investment operations..............        2.15         4.39         0.74
                                          -----------  -----------  ------------
Distributions to shareholders:
  From net investment income............       (1.23)       (1.16)       (0.44)
  From net realized gain on
   investments..........................       (0.23)       (0.11)          --
  In excess of net realized gain on
   investments..........................          --           --           --
  Return of capital.....................          --           --        (0.03)
  From sources other than net investment
   income...............................          --           --           --
                                          -----------  -----------  ------------
    Total distributions.................       (1.46)       (1.27)       (0.47)
                                          -----------  -----------  ------------
Net asset value, end of period..........   $   15.52    $   14.83    $   11.71
                                          -----------  -----------  ------------
                                          -----------  -----------  ------------
 
Total investment return (c).............       14.72%       39.38%        6.54 %(b)
Ratios and supplemental data:
Net assets, end of period (in 000's)....   $   3,719    $  15,298    $   1,463
Ratio of net investment income to
 average net assets.....................        7.74%        9.87%       12.20 %(a)
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        1.18%        1.34%        1.40 %(a)
  Without expense reductions............        1.23%        1.34%        1.40 %
Ratio of interest expense to average net
 assets.................................         N/A         0.04%         N/A
Portfolio turnover rate++...............         214%         290%         213 %(a)
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share operating data were calculated based upon
     average shares outstanding during the year.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the fund as a whole
     without distinguishing among the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F24
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS A
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                             1997      1996 (D)    1995 (D)      1994      1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $   11.76   $   10.32   $   10.88   $   13.61   $   11.25
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       0.74        0.89        0.97        0.79        0.96
  Net realized and unrealized gain
   (loss) on investments................       0.34        1.44       (0.69)      (2.14)       2.85
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       1.08        2.33        0.28       (1.35)       3.81
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (0.78)      (0.82)      (0.80)      (0.79)      (0.96)
  From net realized gain on
   investments..........................         --          --          --       (0.38)      (0.37)
  In excess of net investment income....      (0.06)      (0.07)         --          --          --
  Return of capital.....................         --          --       (0.04)      (0.21)         --
  From sources other than net investment
   income...............................         --          --          --          --       (0.12)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (0.84)      (0.89)      (0.84)      (1.38)      (1.45)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $   12.00   $   11.76   $   10.32   $   10.88   $   13.61
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............       9.40%      23.00%       3.06%     (10.44)%      37.0%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 138,715   $ 185,126   $ 188,165   $ 275,241   $ 287,870
Ratio of net investment income to
 average net assets.....................       6.18%       8.09%       9.64%       6.74%        7.2%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       1.35%       1.38%       1.42%       1.40%        1.7%
  Without expense reductions............       1.44%       1.40%       1.45%        N/A         N/A
Ratio of interest expenses to average
 net assets.............................        N/A         N/A         N/A        0.10%        N/A
Portfolio turnover rate++...............        149%        177%        238%        583%        310%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not Annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the period.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F25
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
 
                                                                   CLASS B
                                          ----------------------------------------------------------
                                                            YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------
                                             1997      1996 (D)    1995 (D)      1994      1993 (D)
                                          ----------  ----------  ----------  ----------  ----------
<S>                                       <C>         <C>         <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $   11.77   $   10.33   $   10.88   $   13.60   $   11.24
                                          ----------  ----------  ----------  ----------  ----------
Income from investment operations:
  Net investment income.................       0.67        0.82        0.91        0.73        0.89
  Net realized and unrealized gain
   (loss) on investments................       0.33        1.44       (0.69)      (2.14)       2.85
                                          ----------  ----------  ----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............       1.00        2.26        0.22       (1.41)       3.74
                                          ----------  ----------  ----------  ----------  ----------
Distributions to shareholders:
  From net investment income............      (0.71)      (0.75)      (0.73)      (0.72)      (0.89)
  From net realized gain on
   investments..........................         --          --          --       (0.38)      (0.37)
  In excess of net investment income....      (0.05)      (0.07)         --          --          --
  Return of capital.....................         --          --       (0.04)      (0.21)         --
  From sources other than net investment
   income...............................         --          --          --          --       (0.12)
                                          ----------  ----------  ----------  ----------  ----------
    Total distributions.................      (0.76)      (0.82)      (0.77)      (1.31)      (1.38)
                                          ----------  ----------  ----------  ----------  ----------
Net asset value, end of period..........  $   12.01   $   11.77   $   10.33   $   10.88   $   13.60
                                          ----------  ----------  ----------  ----------  ----------
                                          ----------  ----------  ----------  ----------  ----------
 
Total investment return (c).............       8.70%      22.15%       2.48%     (11.02)%      36.2%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $ 281,376   $ 333,178   $ 357,852   $ 458,550   $ 310,431
Ratio of net investment income to
 average net assets.....................       5.53%       7.44%       8.99%       6.09%        6.5%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......       2.00%       2.03%       2.07%       2.05%        2.4%
  Without expense reductions............       2.09%       2.05%       2.10%        N/A         N/A
Ratio of interest expenses to average
 net assets.............................        N/A         N/A         N/A        0.10%        N/A
Portfolio turnover rate++...............        149%        177%        238%        583%        310%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not Annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the period.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F26
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                         FINANCIAL HIGHLIGHTS  (cont'd)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding
throughout each period, total investment return, ratios and supplemental data.
This information has been derived from information provided in the financial
statements.
 
<TABLE>
<CAPTION>
                                                       ADVISOR CLASS+
                                          -----------------------------------------
                                                                      JUNE 1, 1995
                                           YEAR ENDED    YEAR ENDED        TO
                                          OCTOBER 31,   OCTOBER 31,    OCTOBER 31,
                                              1997        1996 (D)      1995 (D)
                                          ------------  ------------  -------------
<S>                                       <C>           <C>           <C>
Per Share Operating Performance:
Net asset value, beginning of period....   $   11.77     $   10.33      $   10.32
                                          ------------  ------------  -------------
Income from investment operations:
  Net investment income.................        0.79          0.93           0.41
  Net realized and unrealized gain
   (loss) on investments................        0.34          1.44          (0.04)
                                          ------------  ------------  -------------
    Net increase (decrease) from
     investment operations..............        1.13          2.37           0.37
                                          ------------  ------------  -------------
Distributions to shareholders:
  From net investment income............       (0.82)        (0.86)         (0.34)
  From net realized gain on
   investments..........................          --            --             --
  In excess of net investment income....       (0.06)        (0.07)            --
  Return of capital.....................          --            --          (0.02)
  From sources other than net investment
   income...............................          --            --             --
                                          ------------  ------------  -------------
    Total distributions.................       (0.88)        (0.93)         (0.36)
                                          ------------  ------------  -------------
Net asset value, end of period..........   $   12.02     $   11.77      $   10.33
                                          ------------  ------------  -------------
                                          ------------  ------------  -------------
 
Total investment return (c).............        9.86 %       23.39 %         3.72%(b)
Ratios and supplemental data:
Net assets, end of period (in 000's)....   $     533     $     479      $     443
Ratio of net investment income to
 average net assets.....................        6.53 %        8.44 %         9.99%(a)
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        1.00 %        1.03 %         1.07%(a)
  Without expense reductions............        1.09 %        1.05 %         1.10%(a)
Ratio of interest expenses to average
 net assets.............................         N/A           N/A            N/A
Portfolio turnover rate++...............         149 %         177 %          238%
</TABLE>
 
- ----------------
 
 (a) Annualized
 (b) Not Annualized
 (c) Total investment return does not include sales charges.
 (d) These selected per share data were calculated based upon average
     shares outstanding during the period.
  +  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
 ++  Portfolio turnover is calculated on the basis of the Fund as a whole
     without distinguishing between the classes of shares issued.
N/A  Not Applicable
 
    The accompanying notes are an integral part of the financial statements.
 
                                      F27
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                    NOTES TO
                              FINANCIAL STATEMENTS
                                October 31, 1997
 
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
GT Global Government Income Fund, GT Global High Income Fund, GT Global
Strategic Income Fund ("Funds") are non-diversified separate series of G.T.
Investment Funds, Inc. ("Company"). Collectively, these Funds are known as the
"GT Global Income Funds". The Company is organized as a Maryland corporation and
is registered under the Investment Company Act of 1940, as amended ("1940 Act"),
as an open-end management investment company. The Company has thirteen series of
shares in operation, each series corresponding to a distinct portfolio of
investments.
 
The GT Global High Income Fund invests substantially all of its investable
assets in Global High Income Portfolio ("Portfolio"). The Portfolio is organized
as a New York Trust and is registered under the 1940 Act as a non-diversified,
open-end management investment company.
 
The Portfolio has investment objectives, policies and limitations substantially
identical to those of its corresponding Fund. Therefore, the financial
statements of the Fund and its respective Portfolio have been presented on a
consolidated basis, and represent all activities of both the Fund and Portfolio.
Through October 31, 1997, all of the shares of beneficial interest of the
Portfolio were owned by either its Fund or Chancellor LGT Asset Management, Inc.
(the "Manager"), which has a nominal ($100) investment in the Portfolio.
 
The Funds offer Class A, Class B, and Advisor Class shares, each of which has
equal rights as to assets and voting privileges except that Class A and Class B
each has exclusive voting rights with respect to its distribution plan.
Investment income, realized and unrealized capital gains and losses, and the
common expenses of the Funds are allocated on a pro rata basis to each class
based on the relative net assets of each class to the total net assets of the
Funds. Each class of shares differs in its respective service and distribution
expenses, and may differ in its transfer agent, registration, and certain other
class-specific fees and expenses.
 
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 income and expenses during the reporting period. Actual
results could differ from those estimates. The following is a summary of
significant accounting policies in conformity with generally accepted accounting
principles consistently followed by the Funds in the preparation of the
financial statements.
 
(A) PORTFOLIO VALUATION
 
The Funds calculate the net asset value of and complete orders to purchase,
exchange, or repurchase Fund shares on each business day, with the exception of
those days on which the New York Stock Exchange is closed.
 
Equity securities are valued at the last sale price on the exchange on which
such securities are traded, or on the principal over-the-counter market on which
such securities are traded, as of the close of business on the day the
securities are being valued, or, lacking any sales, at the last available bid
price. In cases where securities are traded on more than one exchange, the
securities are valued on the exchange determined by the Manager to be the
primary market.
 
Fixed income investments are valued at the mean of representative quoted bid and
ask prices for such investments or, if such prices are not available, at prices
for investments of comparative maturity, quality, and type; however, when the
Manager deems it appropriate, prices obtained for the day of valuation from a
bond pricing service will be used. Short-term investments are valued at
amortized cost adjusted for foreign exchange translation and market fluctuation,
if any.
 
Investments for which market quotations are not readily available (including
restricted securities which are subject to limitations on their sale) are valued
at fair value as determined in good faith by or under the direction of the
Company's Board of Directors or the Trust's Board of Trustees.
 
Portfolio securities which are primarily traded on foreign exchanges are
generally valued at the preceding closing values of such securities on their
respective exchanges, and those values are then translated into U.S. dollars at
the current exchange rates, except that when an occurrence subsequent to the
time a value was so established is likely to have materially changed such value,
then the fair value of those securities will be determined by consideration of
other factors by or under the direction of the Company's Board of Directors or
the Trust's Board of Trustees.
 
(B) FOREIGN CURRENCY TRANSLATION
The accounting records of each Fund and Portfolio are maintained in U.S.
dollars. The market values of foreign securities, currency holdings, and other
assets and liabilities are recorded in the books and records of the Funds or
Portfolio (the phrase "Funds or Portfolio" hereinafter refers to the GT Global
Government Income Fund, the GT Global Strategic Income Fund, and the Global High
Income Portfolio) after translation to U.S. dollars based on the exchange rates
on that day. The cost of each security is determined using historical exchange
rates. Income and withholding taxes are translated at prevailing exchange rates
when earned or incurred.
 
A Fund or Portfolio does not isolate that portion of the results of operations
resulting from changes in foreign exchange rates on investments from
fluctuations arising from changes in market prices of securities held. Such
fluctuations are included with the net realized and unrealized gain or loss from
investments.
 
                                      F28
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Reported net realized foreign exchange gains or losses arise from sales and
maturities of short-term securities, forward foreign currency contracts, sales
of foreign currencies, currency gains or losses realized between the trade and
settlement dates on securities transactions, and the difference between the
amounts of dividends, interest, and foreign withholding taxes recorded on a
Fund's or Portfolio's books and the U.S. dollar equivalent of the amounts
actually received or paid. Net unrealized foreign exchange gains or losses arise
from changes in the value of assets and liabilities other than investments in
securities at period end, resulting from changes in exchange rates.
 
(C) REPURCHASE AGREEMENTS
With respect to repurchase agreements entered into by a Fund or Portfolio, it is
the Fund's or Portfolio's policy to always receive, as collateral, United States
government securities or other high quality debt securities of which the value,
including accrued interest, is at least equal to the amount to be repaid to the
Fund or Portfolio under each agreement at its maturity.
 
(D) FORWARD FOREIGN CURRENCY CONTRACTS
A forward foreign currency contract ("Forward Contract") is an agreement between
two parties to buy and sell a currency at a set price on a future date. The
market value of the Forward Contract fluctuates with changes in currency
exchange rates. The Forward Contract is marked-to-market daily and the change in
market value is recorded by a Fund or Portfolio as an unrealized gain or loss.
When the Forward Contract is closed, the Fund or Portfolio records a realized
gain or loss equal to the difference between the value at the time it was opened
and the value at the time it was closed. Forward Contracts involve market risk
in excess of the amount shown in the Fund's or Portfolio's "Statement of Assets
and Liabilities". A Fund or Portfolio could be exposed to risk if a counterparty
is unable to meet the terms of the contract or if the value of the currency
changes unfavorably. A Fund or Portfolio may enter into Forward Contracts in
connection with planned purchases or sales of securities, or to hedge against
adverse fluctuations in exchange rates between currencies.
 
(E) OPTION ACCOUNTING PRINCIPLES
When a Fund or Portfolio writes a call or put option, an amount equal to the
premium received is included in the Fund's or Portfolio's "Statement of Assets
and Liabilities" as an asset and an equivalent liability. The amount of the
liability is subsequently marked-to-market to reflect the current market value
of the option. The current market value of an option listed on a traded exchange
is valued at its last bid price, or, in the case of an over-the-counter option,
is valued at the average of the last bid prices obtained from brokers, unless a
quotation from only one broker is available, in which case only that broker's
price will be used. If an option expires on its stipulated expiration date or if
the Fund or Portfolio enters into a closing purchase transaction, a gain or loss
is realized without regard to any unrealized gain or loss on the underlying
security and the liability related to such option is extinguished. If a written
call option is exercised, a gain or loss is realized from the sale of the
underlying security and the proceeds of the sale are increased by the premium
originally received. If a written put option is exercised, the cost of the
underlying security purchased would be decreased by the premium originally
received. The Fund or Portfolio can write options only on a covered basis,
which, for a call, requires that the Fund or Portfolio hold the underlying
security and, for a put, requires the Fund or Portfolio to set aside cash, U.S.
government securities or other liquid securities in an amount not less than the
exercise price, or otherwise provide adequate cover at all times while the put
option is outstanding. The Fund or Portfolio may use options to manage its
exposure to the stock market and to fluctuations in currency values or interest
rates.
 
The premium paid by the Fund or Portfolio for the purchase of a call or put
option is included in the Fund's or Portfolio's "Statement of Assets and
Liabilities" as an investment and subsequently "marked-to-market" to reflect the
current market value of the option. If an option which the Fund or Portfolio has
purchased expires on the stipulated expiration date, the Fund or Portfolio
realizes a loss in the amount of the cost of the option. If the Fund or
Portfolio enters into a closing sale transaction, the Fund or Portfolio realizes
a gain or loss, depending on whether proceeds from the closing sale transaction
are greater or less than the cost of the option. If the Fund or Portfolio
exercises a call option, the cost of the securities acquired by exercising the
call is increased by the premium paid to buy the call. If the Fund or Portfolio
exercises a put option, it realizes a gain or loss from the sale of the
underlying security, and the proceeds from such sale are decreased by the
premium originally paid.
 
The risk associated with purchasing options is limited to the premium originally
paid. The risk in writing a call option is that the Fund or Portfolio may forego
the opportunity of profit if the market value of the underlying security or
index increases and the option is exercised. The risk in writing a put option is
that the Fund or Portfolio may incur a loss if the market value of the
underlying security or index decreases and the option is exercised. In addition,
there is the risk the Fund or Portfolio may not be able to enter into a closing
transaction because of an illiquid secondary market.
 
(F) FUTURES CONTRACTS
A futures contract is an agreement between two parties to buy and sell a
security at a set price on a future date. Upon entering into such a contract a
Fund or Portfolio is required to pledge to the broker an amount of cash or
securities equal to the minimum "initial margin" requirements of the exchange on
which the contract is traded. Pursuant to the contract, the Fund or Portfolio
agrees to receive from or pay to the broker an amount of cash equal to the daily
fluctuation in value of the contract. Such receipts or payments are known as
"variation margin" and are recorded by the Fund or Portfolio as unrealized gains
or losses. When the contract is closed, the Fund or Portfolio records a realized
gain or loss equal to the difference between the value of the contract at the
time it was opened and the value at the time it was closed. The potential risk
to the Fund or Portfolio is that the change in value of the underlying
securities may not correlate to the change in value of the contracts. A Fund or
 
                                      F29
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Portfolio may use futures contracts to manage its exposure to the stock market
and to fluctuations in currency values or interest rates.
 
(G) SECURITY TRANSACTIONS AND RELATED INVESTMENT INCOME
Security transactions are accounted for on the trade date (date the order to buy
or sell is executed). The cost of securities sold is determined on a first-in,
first-out-basis, unless otherwise specified. Dividends are recorded on the
ex-dividend date. Interest income is recorded on the accrual basis. Where a high
level of uncertainty exists as to its collection, income is recorded net of all
withholding tax with any rebate recorded when received. A Fund or Portfolio may
trade securities on other than normal settlement terms. This may increase the
risk if the other party to the transaction fails to deliver and causes the Fund
or Portfolio to subsequently invest at less advantageous prices.
 
(H) PORTFOLIO SECURITIES LOANED
At October 31, 1997, stocks with an aggregate value listed below were on loan to
brokers. The loans were secured by cash collateral received by the Funds:
 
<TABLE>
<CAPTION>
                                                                               YEAR ENDED
                                                  OCTOBER 31, 1997            OCTOBER 31,
                                          --------------------------------        1997
                                          AGGREGATE VALUE        CASH        --------------
                                              ON LOAN         COLLATERAL     FEES RECEIVED
                                          ---------------   --------------   --------------
<S>                                       <C>               <C>              <C>
GT Global Government Income Fund........   $ 29,895,986      $  31,386,675      $543,589
Global High Income Portfolio............   $ 25,907,465      $  32,857,776      $234,784
GT Global Strategic Income Fund.........   $ 37,623,556      $  43,190,488      $460,682
</TABLE>
 
For international securities, cash collateral is received by a Fund or Portfolio
against loaned securities in an amount at least equal to 105% of the market
value of the loaned securities at the inception of each loan. This collateral
must be maintained at not less than 103% of the market value of the loaned
securities during the period of the loan. For domestic securities, cash
collateral is received by a Fund or Portfolio against loaned securities in the
amount at least equal to 102% of the market value of the loaned securities at
the inception of each loan. This collateral must be maintained at not less than
100% of the market value of the loaned securities during the period of the loan.
Fees received from securities loaned were used to reduce the Funds' or
Portfolios' custodian and other administrative expenses.
 
(I) TAXES
It is the intended policy of the Funds and Portfolios to meet the requirements
for qualification as a "regulated investment company" under the Internal Revenue
Code of 1986, as amended ("Code"). It is also the intention of the Funds and
Portfolios to make distributions sufficient to avoid imposition of any excise
tax under Section 4982 of the Code. Therefore, no provision has been made for
Federal taxes on income, capital gains, or unrealized appreciation of securities
held, and excise tax on income and capital gains. The GT Global Government
Income Fund has a capital loss carryforward of $139,369,056 of which
$123,623,470 expires in 2002, and $15,745,586 expires in 2003. The GT Global
Strategic Income Fund has a capital loss carryforward of $65,749,433 which
expires in 2003.
 
(J) DISTRIBUTIONS TO SHAREHOLDERS
Distributions to shareholders are recorded by each Fund on the ex-date. Income
and capital gain distributions are determined in accordance with Federal income
tax regulations which may differ from generally accepted accounting principles.
These differences are primarily due to differing treatments of income and gains
on various investment securities held by the Funds or Portfolio and timing
differences.
 
(K) DEFERRED ORGANIZATIONAL EXPENSES
Expenses incurred by the GT Global High Income Fund and the Portfolio in
connection with their organization, their initial registration with the
Securities and Exchange Commission and with various states and the initial
public offering of its shares aggregated $149,100 and $25,000, respectively.
These expenses were amortized on a straightline basis over a five-year period.
 
(L) FOREIGN SECURITIES
There are certain additional considerations and risks associated with investing
in foreign securities and currency transactions that are not inherent in
investments of domestic origin. The Fund's or Portfolio's investment in emerging
market countries may involve greater risks than investments in more developed
markets and the price of such investments may be volatile. These risks of
investing in foreign and emerging markets may include foreign currency exchange
rate fluctuations, perceived credit risk, adverse political and economic
developments and possible adverse foreign government intervention.
 
(M) INDEXED SECURITIES
A Fund or Portfolio may invest in indexed securities whose value is linked
either directly or indirectly to changes in foreign currencies, interest rates,
equities, indices, or other reference instruments. Indexed securities may be
more volatile than the reference instrument itself, but any loss is limited to
the amount of the original investment.
 
(N) RESTRICTED SECURITIES
A Fund or Portfolio is permitted to invest in privately placed restricted
securities. These securities may be resold in transactions exempt from
registration or to the public if the securities are registered. Disposal of
these securities may involve time-consuming negotiations and expense, and prompt
sale at an acceptable price may be difficult. At the end of the period,
restricted securities (excluding 144A issues) are shown at the end of the Fund's
or Portfolio's Portfolio of Investments.
 
                                      F30
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
(O) LINE OF CREDIT
Each of the Funds, along with certain other funds ("GT Funds") advised or
administered by the Manager, has a line of credit with BankBoston. GT Global
Income Funds, along with certain other funds ("GT Funds") advised or
administered by the Manager, has a line of credit with State Street Bank & Trust
Company. The arrangements with the banks allow all specified funds and the GT
Funds to borrow an aggregate maximum amount of $200,000,000. Each Fund is
limited to borrowing up to 33 1/3% of the value of each Fund's total assets. On
October 31, 1997, GT Global Government Income Fund had $4,451,000 in loans
outstanding.
 
For the year ended October 31, 1997, the weighted average outstanding daily
balance of bank loans (based on the number of days the loans were outstanding)
for GT Global Government Income Fund, GT Global High Income Fund, and GT Global
Strategic Income Fund was $7,107,892, $11,820,513 and $10,277,220 respectively,
with a weighted average interest rate of 6.33%, 6.47% and 6.38%, respectively.
Interest expense for the GT Global Government Income Fund, GT Global High Income
Fund and GT Global Strategic Income Fund for the year ended October 31, 1997 was
$103,696, $165,711 and $230,880, respectively, included in "Other Expenses" on
the Statement of Operations.
 
(P) SECURITIES PURCHASED ON A WHEN-ISSUED OR FORWARD COMMITMENT BASIS
A Fund or Portfolio may trade securities on a when-issued or forward commitment
basis, with payment and delivery scheduled for a future date. These transactions
are subject to market fluctuations and are subject to the risk that the value at
delivery may be more or less than the trade date purchase price. Although the
Fund or Portfolio will generally purchase these securities with the intention of
acquiring such securities, they may sell such securities before the settlement
date. These securities are identified on the accompanying Portfolio of
Investments. The Fund or Portfolio has set aside sufficient cash or liquid
securities as collateral for these purchase commitments.
 
2. RELATED PARTIES
Chancellor LGT Asset Management, Inc. is the Funds' and Portfolio's investment
manager and administrator. The GT Global Government Income Fund and GT Global
Strategic Income Fund each pays the Manager investment management and
administration fees at the annualized rate of 0.725% on the first $500 million
of the average daily net assets of the Fund; 0.70% on the next $1 billion;
0.675% on the next $1 billion; and 0.65% on amounts thereafter. The GT Global
High Income Fund pays administration fees to the Manager at the annualized rate
of 0.25% of its average daily net assets. These fees are computed daily and paid
monthly.
 
The Global High Income Portfolio pays investment management and administration
fees to the Manager at the annualized rate of 0.475% on the first $500 million
of average daily net assets of the Portfolio; 0.45% on the next $1 billion;
0.425% on the next $1 billion; and 0.40% on amounts thereafter, plus 2% of the
Portfolio's total investment income calculated in accordance with generally
accepted accounting principles, adjusted daily for currency revaluations, on a
mark to market basis, of the Portfolio's assets; provided, however, that during
any fiscal year this amount shall not exceed 2% of the Portfolio's total
investment income calculated in accordance with generally accepted accounting
principles. These fees are computed daily and paid monthly.
 
GT Global, Inc. ("GT Global"), an affiliate of the Manager, serves as the Funds'
distributor. The Funds offer Class A, Class B, and Advisor Class shares for
purchase.
 
Class A shares are subject to initial sales charges imposed at the time of
purchase, in accordance with the schedule included in the Funds' current
prospectus. GT Global collects the sales charges imposed on sales of Class A
shares, and reallows a portion of such charges to dealers through which the
sales are made. For the year ended October 31, 1997, GT Global retained the
following sales charges: $10,240 for the GT Global Government Income Fund,
$65,982 for the Global High Income Fund, and $29,451 for the GT Global Strategic
Income Fund. Purchases of Class A shares exceeding $500,000 may be subject to a
contingent deferred sales charge ("CDSC") upon redemption, in accordance with
the Funds' current prospectus. GT Global collected CDSCs for the year ended
October 31, 1997, as follows: $5,273 for the GT Global Government Income Fund,
$18,156 for the Global High Income Fund, and $0 for the GT Global Strategic
Income Fund. GT Global also makes ongoing shareholder servicing and trail
commission payments to dealers whose clients hold Class A shares.
 
Class B shares are not subject to initial sales charges. When Class B shares are
sold, GT Global from its own resources pays commissions to dealers through which
the sales are made. Certain redemptions of Class B shares made within six years
of purchase are subject to CDSCs, in accordance with the Funds' current
prospectus. For the year ended October 31, 1997, GT Global collected CDSCs in
the amount of: $1,118,343 for the GT Global Government Income Fund, $1,598,989
for the Global High Income Fund, and $1,750,253 for the GT Global Strategic
Income Fund. In addition, GT Global makes ongoing shareholder servicing and
trail commission payments to dealers whose clients hold Class B shares.
 
Pursuant to Rule 12b-1 under the 1940 Act, the Company's Board of Directors has
adopted separate distribution plans with respect to the Funds' Class A shares
("Class A Plan") and Class B shares ("Class B Plan"), pursuant to which a Fund
reimburses GT Global for a portion of its shareholder servicing and
distributions expenses. Under the Class A Plan, a Fund may pay GT Global a
service fee at the annualized rate of up to 0.25% of the average daily net
assets of the Fund's Class A shares for GT Global's expenditures incurred in
servicing and maintaining shareholder accounts, and may pay GT Global a
distribution fee at the annualized rate of up to 0.35% of the average daily net
assets of the Fund's Class A shares, less any amounts paid by the Fund as the
aforementioned service fee, for GT Global's expenditures incurred in providing
services as distributor. All expenses for which GT Global is reimbursed under
the Class A Plan will have been incurred within one year of such reimbursement.
 
                                      F31
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Pursuant to the Fund's Class B Plan, a Fund may pay GT Global a service fee at
the annualized rate of up to 0.25% of the average daily net assets of the Fund's
Class B shares for GT Global's expenditures incurred in servicing and
maintaining shareholder accounts, and may pay GT Global a distribution fee at
the annualized rate of up to 0.75% of the average daily net assets of the Fund's
Class B shares for GT Global's expenditures incurred in providing services as
distributor. Expenses incurred under the Class B Plan in excess of 1.00%
annually may be carried forward for reimbursement in subsequent years as long as
that Plan continues in effect.
 
The Manager and GT Global voluntarily have undertaken to limit each GT Global
Government Income Fund's and GT Global Strategic Income Fund's expenses
(exclusive of brokerage commissions, taxes, interest, and extraordinary expense)
to the maximum annual rate of 1.85%, 2.50%, and 1.50% of the average daily net
assets of the Fund's Class A, Class B, and Advisor Class shares, respectively.
Similarly, they voluntarily have undertaken to limit GT Global High Income
Fund's expenses to the maximum annual rate of 2.20%, 2.85%, and 1.85% of the
average daily net assets of the Fund's Class A, Class B, and Advisor Class
shares, respectively. If necessary, this limitation will be effected by waivers
by the Manager of investment management and administration fees, waivers by GT
Global of payments under the Class A Plan and/or Class B Plan and/or
reimbursements by the Manager or GT Global of portions of the Fund's other
operating expenses.
 
Effective November 1, 1997, the Manager and GT Global have undertaken to limit
each Fund's expenses (exclusive of brokerage commissions, taxes, interest, and
extraordinary expenses) to the annual rate of 1.75%, 2.40%, and 1.40% of the
average daily net assets of the Fund's Class A, Class B and Advisor Class
shares, respectively. This undertaking may be changed or eliminated in the
future.
 
GT Global Investor Services, Inc. ("GT Services"), an affiliate of the Manager
and LGT and GT Global, is the transfer agent of the Funds. For performing
shareholder servicing, reporting, and general transfer agent services, GT
Services receives an annual maintenance fee of $17.50 per account, a new account
fee of $4.00 per account, a per transaction fee of $1.75 for all transactions
other than exchanges and per exchange fee of $2.25. GT Services also is
reimbursed by the Fund for its out-of-pocket expenses for such items as postage,
forms, telephone charges, stationery and office supplies.
The Manager is the pricing and accounting agent for the Funds and Portfolio. The
monthly fee for these services to the Manager is a percentage, not to exceed
0.03% annually, of a Fund or Portfolio's average daily net assets. The annual
fee rate is derived by applying 0.03% to the first $5 billion of assets of all
registered mutual funds advised by the Manager and 0.02% to the assets in excess
of $5 billion and allocating the result according to each Fund's average daily
net assets.
 
The Company pays each of its Directors who is not an employee, officer or
director of the Manager or any other affiliated company, $5,000 per year plus
$300 for each meeting of the board or any committee thereof attended by the
Director. Each Portfolio pays each of its Trustees who is not an employee,
officer, or director of the Manager, GT Global or GT Services $500 per year plus
$150 for each meeting of the board or any committee thereof attended by the
Trustees.
 
3. PURCHASES AND SALES OF SECURITIES
The following summarizes purchases and sales of investment securities, other
than short-term investments, by each Fund or Portfolio for the year ended
October 31, 1997:
 
                        PURCHASE AND SALES OF SECURITIES
 
<TABLE>
<CAPTION>
                                                                                            PURCHASES
                                                                                  ------------------------------
                                                                                  U.S. GOVERNMENT
                                                                                  AND GOVERNMENT
                                                                                     AGENCIES       OTHER ISSUES
                                                                                  ---------------   ------------
<S>                                                                               <C>               <C>
GT Global Government Income Fund................................................   $133,075,601     $576,675,060
Global High Income Portfolio....................................................   $ 27,699,458     $829,268,070
GT Global Strategic Income Fund.................................................   $ 67,247,574     $607,924,472
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                              SALES
                                                                                  ------------------------------
                                                                                  U.S. GOVERNMENT
                                                                                  AND GOVERNMENT
                                                                                     AGENCIES       OTHER ISSUES
                                                                                  ---------------   ------------
<S>                                                                               <C>               <C>
GT Global Government Income Fund................................................   $118,888,065     $702,800,147
Global High Income Portfolio....................................................   $ 11,689,150     $933,111,597
GT Global Strategic Income Fund.................................................   $ 47,239,453     $728,047,126
</TABLE>
 
                                      F32
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
4. CAPITAL SHARES
At October 31, 1997, there were 6,000,000,000 shares of the Company's common
stock authorized, at $0.0001 par value. Of this amount, 400,000,000 were
classified as shares of the GT Global Telecommunications Fund; 400,000,000 were
classified as shares of GT Global Government Income Fund; 200,000,000 were
classified as shares of GT Global Developing Markets Fund; 200,000,000 were
classified as shares of GT Global Health Care Fund; 200,000,000 were classified
as shares of GT Global Strategic Income Fund; 200,000,000 were classified as
shares of GT Global Currency Fund (inactive); 200,000,000 were classified as
shares of GT Global Growth & Income Fund; 200,000,000 were classified as shares
of GT Global Small Companies Fund (inactive); 200,000,000 were classified as
shares of GT Global Latin America Growth Fund; 200,000,000 were classified as
shares of GT Global Emerging Markets Fund; 200,000,000 were classified as shares
of GT Global High Income Fund; 200,000,000 were classified as shares of GT
Global Financial Services Fund; 200,000,000 were classified as shares of GT
Global Natural Resources Fund; 200,000,000 were classified as shares of GT
Global Infrastructure Fund; 200,000,000 were classified as shares of GT Global
Consumer Products and Services Fund. The shares of each of the foregoing series
of the Company were divided equally into two classes, designated Class A and
Class B common stock. With respect to the issuance of Advisor Class shares,
100,000,000 shares were classified as shares of each of the fifteen series of
the Company and designated as Advisor Class common stock. 1,100,000,000 shares
remain unclassified. Transactions in capital shares of the Fund were as follows:
 
                           CAPITAL SHARE TRANSACTIONS
GT GLOBAL GOVERNMENT INCOME FUND
<TABLE>
<CAPTION>
                                                      YEAR ENDED                           YEAR ENDED
                                                   OCTOBER 31, 1997                     OCTOBER 31, 1996
                                          -----------------------------------  -----------------------------------
CLASS A                                       SHARES             AMOUNT            SHARES             AMOUNT
- ----------------------------------------  ---------------  ------------------  ---------------  ------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       48,767,558  $      419,503,866       19,126,586  $      164,293,090
Shares issued in connection with
  reinvestment of distributions.........          741,916           6,372,599        1,643,833          14,228,931
                                          ---------------  ------------------  ---------------  ------------------
                                               49,509,474         425,876,465       20,770,419         178,522,021
Shares repurchased......................      (59,180,268)       (509,133,563)     (36,969,597)       (318,856,283)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (9,670,794) $      (83,257,098)     (16,199,178) $     (140,334,262)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
 
<CAPTION>
 
CLASS B
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       27,713,479  $      237,734,254       23,047,364  $      198,774,141
Shares issued in connection with
  reinvestment of distributions.........          452,575           3,886,536          956,866           8,282,950
                                          ---------------  ------------------  ---------------  ------------------
                                               28,166,054         241,620,790       24,004,230         207,057,091
Shares repurchased......................      (32,406,087)       (278,645,805)     (31,688,935)       (273,022,079)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (4,240,033) $      (37,025,015)      (7,684,705) $      (65,964,988)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
<CAPTION>
 
ADVISOR CLASS
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................            4,551  $           38,769          105,543             892,487
Shares issued in connection with
  reinvestment of distributions.........              680               5,804            1,345              10,808
                                          ---------------  ------------------  ---------------  ------------------
                                                    5,231              44,573          106,888             903,295
Shares repurchased......................           (1,717)            (14,773)        (111,905)           (948,244)
                                          ---------------  ------------------  ---------------  ------------------
Net increase (decrease).................            3,514  $           29,800           (5,017) $          (44,949)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
</TABLE>
 
                                      F33
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
GT GLOBAL HIGH INCOME FUND
<TABLE>
<CAPTION>
                                                      YEAR ENDED                           YEAR ENDED
                                                   OCTOBER 31, 1997                     OCTOBER 31, 1996
                                          -----------------------------------  -----------------------------------
CLASS A                                       SHARES             AMOUNT            SHARES             AMOUNT
- ----------------------------------------  ---------------  ------------------  ---------------  ------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       17,142,418  $      272,139,950       25,694,335  $      346,426,450
Shares issued in connection with
  reinvestment of distributions.........          574,707           9,164,383          607,445           8,023,249
                                          ---------------  ------------------  ---------------  ------------------
                                               17,717,125         281,304,333       26,301,780         354,449,699
Shares repurchased......................      (21,118,898)       (335,756,037)     (26,422,858)       (355,715,247)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (3,401,773) $      (54,451,704)        (121,078) $       (1,265,548)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
 
<CAPTION>
 
CLASS B
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       13,848,218  $      221,702,040       14,568,804  $      194,636,619
Shares issued in connection with
  reinvestment of distributions.........          721,148          11,494,889          765,798          10,086,445
                                          ---------------  ------------------  ---------------  ------------------
                                               14,569,366         233,196,929       15,334,602         204,723,064
Shares repurchased......................      (16,813,796)       (270,094,630)     (16,793,522)       (225,719,415)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (2,244,430) $      (36,897,701)      (1,458,920) $      (20,996,351)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
<CAPTION>
 
ADVISOR CLASS
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................        2,868,282  $       45,874,009        1,706,101  $       23,413,749
Shares issued in connection with
  reinvestment of distributions.........           72,440           1,148,368           40,101             546,903
                                          ---------------  ------------------  ---------------  ------------------
                                                2,940,722          47,022,377        1,746,202          23,960,652
Shares repurchased......................       (3,732,584)        (60,007,579)        (839,670)        (11,309,193)
                                          ---------------  ------------------  ---------------  ------------------
Net increase (decrease).................         (791,862) $      (12,985,202)         906,532  $       12,651,459
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
</TABLE>
 
GT GLOBAL STRATEGIC INCOME FUND
<TABLE>
<CAPTION>
                                                      YEAR ENDED                           YEAR ENDED
                                                   OCTOBER 31, 1997                     OCTOBER 31, 1996
                                          -----------------------------------  -----------------------------------
CLASS A                                       SHARES             AMOUNT            SHARES             AMOUNT
- ----------------------------------------  ---------------  ------------------  ---------------  ------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       13,750,221  $      167,009,888       15,025,486  $      168,473,834
Shares issued in connection with
  reinvestment of distributions.........          615,860           7,488,021          829,046           9,085,802
                                          ---------------  ------------------  ---------------  ------------------
                                               14,366,081         174,497,909       15,854,532         177,559,636
Shares repurchased......................      (18,557,237)       (225,311,673)     (18,331,797)       (204,237,090)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (4,191,156) $      (50,813,764)      (2,477,265) $      (26,677,454)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
 
<CAPTION>
 
CLASS B
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................       11,499,580  $      140,731,511       12,778,909  $      141,835,937
Shares issued in connection with
  reinvestment of distributions.........          896,610          10,918,610        1,206,362          13,216,165
                                          ---------------  ------------------  ---------------  ------------------
                                               12,396,190         151,650,121       13,985,271         155,052,102
Shares repurchased......................      (17,287,235)       (211,600,543)     (20,318,197)       (224,904,917)
                                          ---------------  ------------------  ---------------  ------------------
Net decrease............................       (4,891,045) $      (59,950,422)      (6,332,926) $      (69,852,815)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
<CAPTION>
 
ADVISOR CLASS
- ----------------------------------------
<S>                                       <C>              <C>                 <C>              <C>
Shares sold.............................          712,165  $        8,839,212          278,551  $        3,010,280
Shares issued in connection with
  reinvestment of distributions.........            3,581              43,784            3,931              43,156
                                          ---------------  ------------------  ---------------  ------------------
                                                  715,746           8,882,996          282,482           3,053,436
Shares repurchased......................         (712,116)         (8,911,324)        (284,638)         (3,054,110)
                                          ---------------  ------------------  ---------------  ------------------
Net increase (decrease).................            3,630  $          (28,328)          (2,156) $             (674)
                                          ---------------  ------------------  ---------------  ------------------
                                          ---------------  ------------------  ---------------  ------------------
</TABLE>
 
                                      F34
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
5. WRITTEN OPTIONS:
The GT Global Government Income Fund's and the GT Global Strategic Income Fund's
written options contract activity for the year ended October 31, 1997 was as
follows:
 
                      COVERED CALL AND PUT OPTION WRITTEN
 
<TABLE>
<CAPTION>
                                                                                                           UNDERLYING
                                                                                                             NOMINAL
GT GLOBAL GOVERNMENT INCOME FUND                                                                          AMOUNT IN USD   PREMIUMS
- --------------------------------------------------------------------------------------------------------  -------------  ----------
<S>                                                                                                       <C>            <C>
Options outstanding at October 31, 1996.................................................................  $          --  $       --
Options written.........................................................................................    213,530,000   1,091,938
Options cancelled in closing purchase transactions......................................................    (14,700,000)    (93,163)
Options expired prior to exercise.......................................................................   (193,990,000)   (954,102)
Options exercised.......................................................................................             --          --
                                                                                                          -------------  ----------
Options outstanding at October 31, 1997.................................................................  $   4,840,000  $   44,673
                                                                                                          -------------  ----------
                                                                                                          -------------  ----------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                                          UNDERLYING
                                                                                                            NOMINAL
                                                                                                           AMOUNT IN
GT GLOBAL STRATEGIC INCOME FUND                                                                               USD      PREMIUMS
- --------------------------------------------------------------------------------------------------------  -----------  ---------
<S>                                                                                                       <C>          <C>
Options outstanding at October 31, 1996.................................................................  $        --  $      --
Options written.........................................................................................    5,208,000    301,543
Options cancelled in closing purchase transactions......................................................           --         --
Options expired prior to exercise.......................................................................           --         --
Options exercised.......................................................................................   (5,208,000)  (301,543)
                                                                                                          -----------  ---------
Options outstanding at October 31, 1997.................................................................  $        --  $      --
                                                                                                          -----------  ---------
                                                                                                          -----------  ---------
</TABLE>
 
- --------------
FEDERAL TAX INFORMATION (UNAUDITED):
Pursuant to Section 852 of the Internal Revenue Code, the Funds designate the
following amounts as capital gain dividends for the fiscal year ended October
31, 1997:
 
<TABLE>
<CAPTION>
                                                                                                          CAPITAL GAIN
FUND                                                                                                        DIVIDEND
- --------------------------------------------------------------------------------------------------------  ------------
<S>                                                                                                       <C>
GT Global Government Income Fund........................................................................            --
GT Global High Income Fund..............................................................................   $ 6,927,413
GT Global Strategic Income Fund.........................................................................            --
</TABLE>
 
                                      F35
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
<PAGE>
                            AIM GLOBAL INCOME FUNDS
 
                                  AIM/GT FUNDS
 
  AIM DISTRIBUTORS OFFERS A BROAD RANGE OF FUNDS TO COMPLEMENT MANY INVESTORS'
  PORTFOLIOS. FOR MORE INFORMATION AND A PROSPECTUS ON ANY OF THE FUNDS LISTED
  BELOW,  INCLUDING FEES, EXPENSES AND THE RISKS OF GLOBAL AND EMERGING MARKET
  INVESTING AND THE RISKS OF  INVESTING IN RELATED INDUSTRIES, PLEASE  CONTACT
  YOUR FINANCIAL ADVISER OR CALL 1-800-824-1580.
 
GROWTH FUNDS
 
/ / GLOBALLY DIVERSIFIED FUNDS
 
AIM NEW DIMENSION FUND
Captures global growth opportunities by investing directly in the six global
theme funds
 
AIM WORLDWIDE GROWTH FUND
Invests around the world, including the U.S.
 
AIM INTERNATIONAL GROWTH FUND
Provides portfolio diversity by investing outside
the U.S.
 
AIM EMERGING MARKETS FUND
Gives access to the growth potential of developing economies
 
AIM DEVELOPING MARKETS FUND
Invests in debt and equity securities of developing market issuers
 
/ / GLOBAL THEME FUNDS
 
AIM GLOBAL CONSUMER PRODUCTS AND
SERVICES FUND
Invests in companies that manufacture, market, retail, or distribute consumer
products or services
 
AIM GLOBAL FINANCIAL SERVICES FUND
Focuses on the worldwide opportunities from the demand for financial services
and products
 
AIM GLOBAL HEALTH CARE FUND
Invests in growing health care industries worldwide
 
AIM GLOBAL INFRASTRUCTURE FUND
Seeks companies that build, improve or maintain a country's infrastructure
 
AIM GLOBAL RESOURCES FUND
Concentrates on companies that own, explore or develop natural resources
 
AIM GLOBAL TELECOMMUNICATIONS FUND
Invests in companies worldwide that develop, manufacture or sell
telecommunications services or equipment
 
/ / REGIONALLY DIVERSIFIED FUNDS
 
AIM NEW PACIFIC GROWTH FUND
Offers  access  to the  emerging  and established  markets  of the  Pacific Rim,
excluding Japan
 
AIM EUROPE GROWTH FUND
Focuses on investment opportunities in Europe
 
AIM LATIN AMERICAN GROWTH FUND
Invests in the emerging markets of Latin America
 
/ / SINGLE COUNTRY FUNDS
 
AIM SMALL CAP EQUITY FUND
Invests in equity securities of small U.S. companies
 
AIM MID CAP GROWTH FUND
Concentrates on medium-sized companies in the U.S.
 
AIM AMERICA VALUE FUND
Concentrates on equity securities of large cap U.S. companies believed to be
undervalued
 
AIM JAPAN GROWTH FUND
Provides U.S. investors with direct access to the Japanese market
 
GROWTH AND INCOME FUND
 
AIM GLOBAL GROWTH & INCOME FUND
Invests in blue-chip stocks and government bonds from around the world
 
INCOME FUNDS
 
AIM GLOBAL GOVERNMENT INCOME FUND
Earns monthly income from global government securities
 
AIM STRATEGIC INCOME FUND
Allocates its assets among debt securities from the U.S., developed foreign
countries and emerging markets
 
AIM GLOBAL HIGH INCOME FUND
Invests in debt securities in emerging markets
 
AIM FLOATING RATE FUND
Invests primarily in senior secured floating rate loans that have the potential
to achieve a high level of current income
 
MONEY MARKET FUND
 
AIM DOLLAR FUND
Invests in high quality, U.S. dollar-denominated money market securities
worldwide for stability and preservation of capital
 
[LOGO]NO DEALER, SALES REPRESENTATIVE OR  OTHER PERSON HAS BEEN AUTHORIZED  TO
  GIVE  ANY INFORMATION  OR TO MAKE  ANY REPRESENTATION NOT  CONTAINED IN THIS
  STATEMENT OF ADDITIONAL INFORMATION AND, IF GIVEN OR MADE, SUCH  INFORMATION
  OR  REPRESENTATION MUST NOT BE RELIED UPON  AS HAVING BEEN AUTHORIZED BY AIM
  INVESTMENT FUNDS, INC.,  AIM GLOBAL  GOVERNMENT INCOME  FUND, AIM  STRATEGIC
  INCOME  FUND, AIM  GLOBAL HIGH  INCOME FUND,  GLOBAL HIGH  INCOME PORTFOLIO,
  A I M ADVISORS, INC.,  INVESCO (NY), INC. OR A  I M DISTRIBUTORS, INC.  THIS
  STATEMENT  OF ADDITIONAL INFORMATION DOES NOT CONSTITUTE AN OFFER TO SELL OR
  SOLICITATION OF ANY OFFER TO BUY ANY OF THE SECURITIES OFFERED HEREBY IN ANY
  JURISDICTION TO ANY PERSON TO WHOM IT IS UNLAWFUL TO MAKE SUCH OFFER IN SUCH
  JURISDICTION.
 
                                                                      INCSX703MC


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