G T INVESTMENT FUNDS INC
497, 1996-10-31
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<PAGE>
                            GT GLOBAL INCOME FUNDS:
                                 ADVISOR CLASS
          PROSPECTUS -- FEBRUARY 29, 1996, AS REVISED OCTOBER 31, 1996
- --------------------------------------------------------------------------------
 
GT 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 securities. The Fund's secondary objectives are capital appreciation
and protection of principal through active management of the maturity structure
and currency exposure of its portfolio.
 
GT GLOBAL 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.
 
GT GLOBAL HIGH INCOME FUND ("HIGH INCOME FUND") primarily seeks high current
income and secondarily seeks capital appreciation. THE FUND, UNLIKE MANY OTHER
INVESTMENT COMPANIES WHICH DIRECTLY ACQUIRE AND MANAGE THEIR OWN PORTFOLIOS OF
SECURITIES, SEEKS ITS INVESTMENT OBJECTIVES BY INVESTING ALL OF ITS INVESTABLE
ASSETS IN THE GLOBAL HIGH INCOME PORTFOLIO ("PORTFOLIO"), WHICH IN TURN, INVESTS
IN THE DEBT SECURITIES OF ISSUERS LOCATED IN EMERGING MARKETS. THE PORTFOLIO'S
INVESTMENT OBJECTIVES ARE IDENTICAL TO THOSE OF THE FUND. AS THIS STRUCTURE IS
DIFFERENT FROM MANY OTHER MUTUAL FUNDS WHICH DIRECTLY ACQUIRE AND MANAGE THEIR
OWN PORTFOLIOS, INVESTORS SHOULD CAREFULLY CONSIDER THIS INVESTMENT APPROACH.
FOR ADDITIONAL INFORMATION, SEE "INVESTMENT OBJECTIVES AND POLICIES -- HIGH
INCOME FUND."
 
There can be no assurance that any Fund or the Portfolio will achieve their
investment objectives.
 
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 Government Income Fund, the Strategic Income Fund and the High Income Fund
(individually, a "Fund," collectively, the "Funds") are organized as
non-diversified series of G.T. Investment Funds, Inc. Both the Funds and the
Portfolio are managed and/or administered by Chancellor LGT Asset Management,
Inc. (the "Manager"). The Manager and its worldwide affiliates are part of the
Liechtenstein Global Trust, a global provider of asset management and private
banking products and services to individual and institutional investors.
 
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 GLOBAL
HIGH INCOME 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 February 29, 1996, as revised October
31, 1996, has been filed with the Securities and Exchange Commission (the "SEC")
and is incorporated herein by reference. The Statement of Additional
Information, which may be amended or supplemented from time to time, is
available without charge by writing to the Funds at 50 California Street, 27th
Floor, San Francisco, California 94111, or by calling (800) 824-1580.
 
FOR FURTHER INFORMATION, CALL (800) 824-1580 OR CONTACT YOUR FINANCIAL ADVISOR.
 
[LOGO]
 
- --------------------------------------------------------------------------------
 
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES
 AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION, NOR HAS
   THE SECURITIES AND EXCHANGE COMMISSION OR ANY STATE SECURITIES
     COMMISSION PASSED ON THE ACCURACY OR ADEQUACY OF THIS PROSPECTUS.
             ANY REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.
 
                               Prospectus Page 1
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                               TABLE OF CONTENTS
- ------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                              Page
                                                                                            ---------
<S>                                                                                         <C>
Prospectus Summary........................................................................          3
Financial Highlights......................................................................          7
Investment Objectives and Policies........................................................         12
Risk Factors..............................................................................         23
How To Invest.............................................................................         28
How To Make Exchanges.....................................................................         30
How to Redeem Shares......................................................................         31
Shareholder Account Manual................................................................         33
Calculation of Net Asset Value............................................................         34
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>
                             GT 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 this
summary are to headings in the body of the Prospectus.
 
<TABLE>
<S>                            <C>                               <C>
Investment Objectives and
  Principal Investments:
 
  Government Income Fund:      Primarily seeks high current income and secondarily seeks capital
                               appreciation and protection of principal; invests primarily in
                               U.S. and foreign government obligations
 
  Strategic Income Fund:       Primarily seeks high current income and secondarily seeks capital
                               appreciation; 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
 
  High Income Fund:            Primarily seeks high current income and secondarily seeks capital
                               appreciation by investing all of its investable assets in the High
                               Income Portfolio, which, in turn, invests primarily in debt
                               securities of issuers located in emerging markets
 
Investment Manager and         Chancellor LGT Asset Management, Inc. (the "Manager") is part of
  Administrator:               Liechtenstein Global Trust, a provider of global asset management
                               and private banking products and services to individual and
                               institutional investors entrusted with approximately $80 billion
                               in total assets
 
                               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
Advisor Class Shares:          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 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 ("Wrap Fee Account"); (d) accounts advised by one of the
                               companies comprising or affiliated with Liechtenstein Global
                               Trust; and (e) any of the companies comprising or affiliated with
                               Liechtenstein Global Trust
 
Exchange Privileges:           Advisor Class shares of one Fund may only be exchanged for Advisor
                               Class shares of other GT Global Mutual Funds, which are open-end
                               management investment companies advised and/or administered by the
                               Manager
 
Dividends and Other            Dividends paid monthly from net investment income and net
  Distributions:               short-term capital gains; other distributions paid annually from
                               realized net capital gain and net realized gains from foreign
                               currency transactions, if any
</TABLE>
 
                               Prospectus Page 3
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                               PROSPECTUS SUMMARY
                                  (Continued)
- --------------------------------------------------------------------------------
<TABLE>
<S>                            <C>                               <C>
Reinvestment:                  Dividends and distributions may be reinvested in Advisor Class
                               shares of the distributing Fund or of other GT Global Mutual Funds
 
Net Asset Values:              Advisor Class shares are expected to be quoted daily in the
                               financial section of most newspapers
</TABLE>
 
                            ------------------------
 
INVESTMENT MANAGER. The Manager is the investment manager and administrator for
the Government Income Fund, the Strategic Income Fund and the Portfolio and the
administrator for the High Income Fund. LGT Asset Management and its worldwide
asset management affiliates maintain fully-staffed investment offices in
Frankfurt, Hong Kong, London, New York, San Francisco, Singapore, Sydney, Tokyo
and Toronto. The Manager is part of Liechtenstein Global Trust, a provider of
global asset management and private banking products and services to individual
and institutional investors. As of October 31, 1996, assets entrusted to
Liechtenstein Global Trust total approximately $80 billion. The companies
comprising Liechtenstein Global Trust are indirect subsidiaries of the Prince of
Liechtenstein Foundation. See "Management."
 
INVESTMENT OBJECTIVES AND POLICIES. Each Fund is organized as a non-diversified
series of G.T. Investment Funds, Inc. ("Company"), a registered open-end
management investment company. Under normal circumstances, the Government Income
Fund invests at least 65% of its total assets in securities issued or guaranteed
by the U.S. or foreign governments, their agencies, authorities and
instrumentalities, and may invest up to 35% of its total assets in investment
grade foreign government securities, investment grade debt securities of U.S. or
foreign issuers and common and preferred stocks and warrants to acquire such
securities. The Fund currently expects to choose its investments principally
from the obligations of issuers located in the United States, Canada, Japan, the
Western European nations, New Zealand and Australia. See "Investment Objectives
and Policies."
 
The Strategic Income Fund seeks its investment objective by investing primarily
in debt obligations allocated among diverse international markets and
denominated in both U.S. and foreign currencies. The Fund normally invests at
least 50% of its total assets in U.S. and foreign debt and other fixed income
securities that, at the time of purchase, are rated investment grade or, if not
rated, determined by the Manager to be of comparable quality. No more than 50%
of the Fund's total assets may be invested in U.S. and foreign debt and other
fixed income securities that are rated lower than investment grade. The Fund
allocates its assets among debt securities of issuers located in: (1) the United
States; (2) developed foreign countries; and (3) emerging markets. See
"Investment Objectives and Policies."
 
The High Income Fund seeks its investment objectives by investing all of its
investable assets in the Portfolio, which normally invests at least 65% of its
total assets in debt securities of issuers located in emerging markets. The
Portfolio may invest in bonds, notes and debentures of emerging market
governments as well as debt securities issued or guaranteed by such governments'
agencies or instrumentalities, by the central banks of emerging market countries
or by banks or other companies in such countries. See "Investment Objectives and
Policies."
 
INVESTMENT TECHNIQUES AND RISK FACTORS. There is no assurance that any Fund or
the Portfolio will achieve its investment objectives. Each Fund's net asset
value will fluctuate, reflecting fluctuations in the market value of its
portfolio positions. The value of the debt securities held by each Fund and the
Portfolio generally fluctuates inversely with interest rate movements based on:
(1) changes in the actual and perceived creditworthiness of the
 
                               Prospectus Page 4
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                               PROSPECTUS SUMMARY
                                  (Continued)
- --------------------------------------------------------------------------------
issuers of such securities; and (2) based on changes in foreign currency
exchange rates.
 
The Government Income Fund, the Strategic Income Fund and the Portfolio have
high portfolio turnover rates. See "Investment Objectives and Policies -- Other
Information."
 
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. Changes in foreign currency exchange
rates may affect a Fund's net asset value, earnings and gains and losses
realized on sales of securities. Some foreign currency values may be volatile
and it is possible that a government will intervene in the currency markets or
impose controls on currency exchanges. Securities of foreign companies may be
less liquid and their prices more volatile than those of securities of
comparable U.S. companies. The participation by the Government Income Fund, the
Strategic Income Fund and the Portfolio in currency, options and futures markets
involves certain risks and transaction costs. Because of the special risks
associated with investing in emerging markets and with borrowing for investment
purposes, an investment in the Strategic Income Fund and the High Income Fund
should be considered speculative.
 
Many of the debt obligations purchased by the Strategic Income Fund and most of
the debt obligations purchased by the Portfolio are the equivalent of high
yield, high risk bonds. Investment by the Strategic Income Fund and the
Portfolio in debt securities rated below investment grade involves a high degree
of risk. Such investments are considered speculative by nationally recognized
statistical rating organizations ("NRSROs"). See "Risk Factors."
 
PURCHASES AND REDEMPTIONS. Advisor Class shares of each Fund's common stock are
available through Financial Advisors (as defined herein) that have entered into
agreements with the Funds' distributor, GT Global, Inc. ("GT Global") or certain
of its affiliates. See "How to Invest" and "Shareholder Account Manual." Shares
may be redeemed through the Funds' transfer agent, GT Global Investor Services,
Inc. ("Transfer Agent"). See "How to Redeem Shares" and "Shareholder Account
Manual."
 
                               Prospectus Page 5
<PAGE>
                             GT 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 each Fund, the annual operating
expenses for the Government Income Fund, and the Strategic Income Fund, and the
aggregate annual operating expenses for the High Income Fund and the Portfolio
are reflected in the following tables:*
 
<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 contingent deferred sales charge................................          None             None             None
  Redemption charges......................................................          None             None             None
  Exchange fees:
    -- On first four exchanges each year..................................          None             None             None
    -- On each additional exchange........................................     $    7.50        $    7.50        $    7.50
 
ANNUAL FUND OPERATING EXPENSES:
  (AS A % OF AVERAGE NET ASSETS)
  Investment management and administration fees...........................          0.72%            0.72%            0.73%
  12b-1 service and distribution expenses.................................          None             None             None
  Other expenses..........................................................          0.31%            0.38%            0.68%
                                                                                 -------          -------          -------
  Total Fund Operating Expenses...........................................          1.03%            1.10%            1.41%
                                                                                 -------          -------          -------
                                                                                 -------          -------          -------
</TABLE>
 
HYPOTHETICAL EXAMPLE OF EFFECT OF EXPENSES:
An investor directly or indirectly would have paid the following expenses at the
end of the periods shown on a $1,000 investment, 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......................................   $        10    $        32    $        77    $       130
Strategic Income Fund
  Advisor Class Shares......................................   $        10    $        35    $        81    $       138
High Income Fund
  Advisor Class Shares......................................   $        13    $        44    $        97    $       176
</TABLE>
 
- ------------------------
 
*   BECAUSE ADVISOR CLASS SHARES WERE NOT OFFERED PRIOR TO JUNE 1, 1995,
    EXPENSES ARE ESTIMATES AND DO NOT REFLECT ACTUAL ADVISOR CLASS EXPENSES.
    SUCH DATA ARE DERIVED FROM CLASS A AND CLASS B EXPENSES FOR THE FUND BASED
    ON THE FUND'S FISCAL YEAR ENDED OCTOBER 31, 1995. THESE TABLES ARE INTENDED
    TO ASSIST INVESTORS IN UNDERSTANDING THE VARIOUS COSTS AND EXPENSES
    ASSOCIATED WITH INVESTING IN A FUND. "Other expenses" include custody,
    transfer agent, legal, audit and other operating expenses. See "Management"
    herein and in 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 comprising or affiliated with Liechtenstein Global
    Trust invests in Advisor Class shares of a Fund, such account shall not be
    subject to duplicative advisory fees. THE "HYPOTHETICAL EXAMPLE" SET FORTH
    ABOVE IS NOT A REPRESENTATION OF PAST OR FUTURE EXPENSES; EACH FUND'S ACTUAL
    EXPENSES MAY BE MORE OR LESS THAN THOSE SHOWN. The above table and the
    assumption in the Hypothetical Example of a 5% annual return are required by
    regulation of the Securities and Exchange Commission applicable to all
    mutual funds; the 5% annual return is not a prediction of and does not
    represent the Fund's projected or actual performance. 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.
 
                               Prospectus Page 6
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
 
The tables below provide condensed information concerning income and capital
changes for one share of each class of shares of the Government Income Fund, the
Strategic Income Fund, and the High Income 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, 1995 and each of the preceding four years 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
 
<TABLE>
<CAPTION>
                                                                                CLASS A+
                                          -------------------------------------------------------------------------------------
                                                                         YEAR ENDED OCTOBER 31,
                                          -------------------------------------------------------------------------------------
                                           1995(C)       1994(C)        1993(C)          1992           1991           1990
                                          ----------   ------------   ------------   ------------   ------------   ------------
<S>                                       <C>          <C>            <C>            <C>            <C>            <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $   8.63     $  11.07       $   9.83       $  10.29       $  10.46       $  10.45
                                          ----------   ------------   ------------   ------------   ------------   ------------
Income from investment operations:
  Net investment income.................      0.62         0.65           0.74           0.92           0.99           1.18
  Net realized and unrealized gain
   (loss) on investments................      0.15        (1.52)          1.34          (0.31)         (0.07)         (0.02)
                                          ----------   ------------   ------------   ------------   ------------   ------------
    Net increase (decrease) from
     investment operations..............      0.77        (0.87)          2.08           0.61           0.92           1.16
                                          ----------   ------------   ------------   ------------   ------------   ------------
Distributions:
  Net investment income.................     (0.59)       (0.65)         (0.74)         (0.83)         (1.00)         (1.15)
  Net realized gain on investments......     (0.00)       (0.27)         (0.00)         (0.13)         (0.09)         (0.00)
  In excess of net realized gain on
   investments..........................     (0.00)       (0.55)         (0.00)         (0.00)         (0.00)         (0.00)
  Return of capital.....................     (0.00)       (0.10)         (0.00)         (0.00)         (0.00)         (0.00)
  Sources other than net investment
   income...............................     (0.00)       (0.00)         (0.10)         (0.11)         (0.00)         (0.00)
                                          ----------   ------------   ------------   ------------   ------------   ------------
    Total distributions.................     (0.59)       (1.57)         (0.84)         (1.07)         (1.09)         (1.15)
                                          ----------   ------------   ------------   ------------   ------------   ------------
Net asset value, end of period..........  $   8.81     $   8.63       $  11.07       $   9.83       $  10.29       $  10.46
                                          ----------   ------------   ------------   ------------   ------------   ------------
                                          ----------   ------------   ------------   ------------   ------------   ------------
Total investment return (d).............      9.22%       (8.87)%         21.9%           6.3%           9.4%          11.9%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $385,404     $502,094       $708,301       $623,387       $399,200       $259,726
Ratio of net investment income to
 average
 net assets.............................      6.98%        6.87%           7.1%           9.0%           9.5%          11.4%
Ratio of expenses to average net assets:
  With expense reductions...............      1.35%        1.33%           1.4%           1.6%           1.6%           1.8%
  Without expense reductions............      1.38%          --%**          --%**          --%**          --%**          --%**
Portfolio turnover rate ++++............       385%         625%           495%           351%           326%           334%
</TABLE>
 
- ------------------------
 
+     All capital shares issued and outstanding as of October 21, 1992 were
      reclassified as Class A shares.
 
++    Commencing October 22, 1992, the Fund began offering Class B shares.
 
+++   On 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
      Manager.
 
**    Calculation of "Ratio of expenses to average net assets" was made without
      considering the effect of expense reductions, if any.
 
(a)   Not annualized.
 
(b)   Annualized.
 
(c)   These selected per share data were calculated based upon weighted average
      shares outstanding during the period.
 
(d)   Total investment return does not include sales charges.
 
                               Prospectus Page 7
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                       GOVERNMENT INCOME FUND (CONTINUED)
<TABLE>
<CAPTION>
                                                    CLASS A+                                     CLASS B++
                                          -----------------------------   -------------------------------------------------------
                                                         MAR. 29, 1988
                                           YEAR ENDED    (COMMENCEMENT                                                 OCT. 22,
                                            OCT. 31,           OF                  YEAR ENDED OCTOBER 31,              1992 TO
                                          ------------   OPERATIONS) TO   ----------------------------------------     OCT. 31,
                                              1989       OCT. 31, 1988     1995(C)       1994(C)        1993(C)          1992
                                          ------------   --------------   ----------   ------------   ------------   ------------
<S>                                       <C>            <C>              <C>          <C>            <C>            <C>
Per Share Operating Performance:
Net asset value, beginning of
 period.................................  $  10.86        $ 11.43         $   8.64     $  11.07       $   9.83       $  9.87
                                          ------------   --------------   ----------   ------------   ------------   ------------
Income from investment operations:
  Net investment income.................      1.15           0.49*            0.55         0.59           0.67          0.02
  Net realized and unrealized gain
   (loss) on investments................     (0.35)         (0.44)            0.14        (1.52)          1.34         (0.06)
                                          ------------   --------------   ----------   ------------   ------------   ------------
    Net increase (decrease) from
     investment operations..............      0.80           0.05             0.69        (0.93)          2.01         (0.04)
                                          ------------   --------------   ----------   ------------   ------------   ------------
Distributions:
  Net investment income.................     (1.20)         (0.49)           (0.53)       (0.59)         (0.67)        (0.00)
  Net realized gain on
   investments..........................     (0.00)         (0.12)           (0.00)       (0.27)         (0.00)        (0.00)
  In excess of net realized gain on
   investments..........................     (0.00)         (0.00)           (0.00)       (0.54)         (0.00)        (0.00)
  Return of capital.....................     (0.00)         (0.00)           (0.00)       (0.10)         (0.00)        (0.00)
  Sources other than net
   investment income....................     (0.01)         (0.01)           (0.00)       (0.00)         (0.10)        (0.00)
                                          ------------   --------------   ----------   ------------   ------------   ------------
    Total distributions.................     (1.21)         (0.62)           (0.53)       (1.50)         (0.77)        (0.00)
                                          ------------   --------------   ----------   ------------   ------------   ------------
Net asset value, end of period..........  $  10.45        $ 10.86         $   8.80     $   8.64       $  11.07       $  9.83
                                          ------------   --------------   ----------   ------------   ------------   ------------
                                          ------------   --------------   ----------   ------------   ------------   ------------
Total investment return (d).............       7.2%           1.1%(a)         8.22%       (9.39)%         21.1%         (0.4)%(a)
Ratios and supplemental data:
Net assets, end of period
 (in 000's).............................  $122,526        $57,063         $235,481     $262,405       $182,972       $ 2,624
Ratio of net investment income to
 average net assets.....................      10.7%          7.41%*(b)        6.33%        6.22%           6.5%          8.0%(b)
Ratio of expenses to average net assets:
  With expense reductions...............       1.7%          1.80%*(b)        2.00%        1.98%           2.0%          1.9%(b)
  Without expense reductions............        --%**          --%**          2.03%          --%**          --%**         --%**
Portfolio turnover rate ++++............       413%           291%(b)          385%         625%           495%          351%
 
<CAPTION>
                                             ADVISOR
                                             CLASS+++
                                          --------------
 
                                           JUNE 1, 1995
                                                TO
                                           OCTOBER 31,
                                             1995(C)
                                          --------------
<S>                                       <C>
Per Share Operating Performance:
Net asset value, beginning of
 period.................................    $  8.98
                                          --------------
Income from investment operations:
  Net investment income.................       0.26
  Net realized and unrealized gain
   (loss) on investments................      (0.19)
                                          --------------
    Net increase (decrease) from
     investment operations..............       0.07
                                          --------------
Distributions:
  Net investment income.................      (0.25)
  Net realized gain on
   investments..........................      (0.00)
  In excess of net realized gain on
   investments..........................      (0.00)
  Return of capital.....................      (0.00)
  Sources other than net
   investment income....................      (0.00)
                                          --------------
    Total distributions.................      (0.25)
                                          --------------
Net asset value, end of period..........    $  8.80
                                          --------------
                                          --------------
Total investment return (d).............       0.83%(a)
Ratios and supplemental data:
Net assets, end of period
 (in 000's).............................    $   131
Ratio of net investment income to
 average net assets.....................       7.33%(b)
Ratio of expenses to average net assets:
  With expense reductions...............       1.00%(b)
  Without expense reductions............       1.03%(b)
Portfolio turnover rate ++++............        385%
</TABLE>
 
- ------------------------
 
+     All capital shares issued and outstanding as of October 21, 1992 were
      reclassified as Class A shares.
 
++    Commencing October 22, 1992, the Fund began offering Class B shares.
 
+++   On 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
      Manager.
 
(a)   Not annualized.
 
(b)   Annualized.
 
(c)   These selected per share data were calculated based upon weighted average
      shares outstanding during the period.
 
(d)   Total investment return does not include sales charges.
 
**    Calculation of "Ratio of expenses to average net assets" was made without
      considering the effect of expense reductions, if any.
 
                               Prospectus Page 8
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                             STRATEGIC INCOME FUND
 
<TABLE>
<CAPTION>
                                                                         CLASS A+
                                          ----------------------------------------------------------------------
                                                                  YEAR ENDED OCTOBER 31,
                                          ----------------------------------------------------------------------
                                           1995(C)      1994        1993(C)       1992        1991        1990
                                          ---------   ---------    ---------    --------    --------    --------
<S>                                       <C>         <C>          <C>          <C>         <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $  10.88    $  13.61     $  11.25     $ 10.91     $ 11.20     $ 11.17
                                          ---------   ---------    ---------    --------    --------    --------
Income from investment operations:
  Net investment income.................      0.97        0.79         0.96        0.86        0.84*       1.04*
  Net realized and unrealized gain
   (loss) on investments................     (0.69)      (2.14)        2.85        0.31       (0.02)      (0.17)
                                          ---------   ---------    ---------    --------    --------    --------
    Net increase (decrease) from
     investment operations..............      0.28       (1.35)        3.81        1.17        0.82        0.87
                                          ---------   ---------    ---------    --------    --------    --------
Distributions:
  Net investment income.................     (0.80)      (0.79)       (0.96)      (0.83)      (0.60)      (0.84)
  Net realized gain on investments......     (0.00)      (0.38)       (0.37)      (0.00)      (0.51)      (0.00)
  Return of capital                          (0.04)      (0.21)       (0.00)      (0.00)      (0.00)      (0.00)
  Sources other than net investment
   income...............................     (0.00)      (0.00)       (0.12)      (0.00)      (0.00)      (0.00)
                                          ---------   ---------    ---------    --------    --------    --------
    Total distributions.................     (0.84)      (1.38)       (1.45)      (0.83)      (1.11)      (0.84)
                                          ---------   ---------    ---------    --------    --------    --------
Net asset value, end of period..........  $  10.32    $  10.88     $  13.61     $ 11.25     $ 10.91     $ 11.20
                                          ---------   ---------    ---------    --------    --------    --------
                                          ---------   ---------    ---------    --------    --------    --------
Total investment return (d).............      3.06%     (10.44)%       37.0%       11.1%        7.7%        8.3%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $188,165    $275,241     $287,870     $83,849     $55,967     $44,545
Ratio of net investment income to
 average
 net assets.............................      9.64%       6.74%         7.2%        7.6%        7.2%*       9.6%*
Ratio of expenses to average net assets:
  With expense reductions...............      1.42%       1.40%         1.7%        1.8%        1.9%*       1.9%*
  Without expense reductions............      1.45%         --%(f)       --%(f)      --%(f)      --%(f)      --%(f)
Ratio of interest expenses to average
 net assets.............................       N/A        0.10%         N/A         N/A         N/A         N/A
Portfolio turnover rate+++..............       238%        583%         310%        418%        630%        501%
</TABLE>
 
- ------------------------
 
+   All capital shares issued and outstanding as of October 21, 1992 were
    reclassified as Class A shares.
 
++  Commencing October 22, 1992, the Fund began offering Class B 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 Manager 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.
 
**  On June 1, 1995, the Fund began offering Advisor Class shares.
 
(a) Not annualized.
 
(b) Ratios are not meaningful due to short period of operation of Class B
    shares.
 
(c) These selected per share data were calculated based upon weighted average
    shares outstanding during the period.
 
(d) Total investment return does not include sales charges.
 
(e) Annualized.
 
(f)  Calculation of "Ratio of expenses to average net assets" was made without
    considering the effect of expense reductions, if any.
 
<TABLE>
<CAPTION>
                                                                          AVERAGE           AVERAGE NUMBER OF          AVERAGE
                                                    AMOUNT OF DEBT    AMOUNT OF DEBT          FUND'S SHARES        AMOUNT OF DEBT
                                                    OUTSTANDING AT      OUTSTANDING            OUTSTANDING            PER SHARE
                                                    END OF PERIOD    DURING THE PERIOD      DURING THE PERIOD     DURING THE PERIOD
                                                    --------------   -----------------   -----------------------  -----------------
<S>                                                 <C>              <C>                 <C>                      <C>
Year Ended October 31, 1995.......................       $  0              $  0           Class A - 21,156,980          $  0
                                                                                          Class B - 37,786,015
                                                                                         Advisor Class - 43,361
</TABLE>
 
                               Prospectus Page 9
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                       STRATEGIC INCOME FUND (CONTINUED)
<TABLE>
<CAPTION>
                                                CLASS A+
                                          ---------------------
                                                      MAR. 29,
                                                        1988
                                                     (COMMENCE-
                                            YEAR      MENT OF
                                           ENDED     OPERATIONS)
                                          OCT. 31,       TO
                                          --------    OCT. 31,
                                            1989        1988
                                          --------   ----------
<S>                                       <C>        <C>
Per Share Operating Performance:
Net asset value, beginning of
 period.................................  $ 11.25     $ 11.43
                                          --------   ----------
Income from investment operations:
  Net investment income.................     0.82*       0.45*
  Net realized and unrealized gain
   (loss) on investments................    (0.10)      (0.24)
                                          --------   ----------
    Net increase (decrease) from
     investment operations..............     0.72        0.21
Distributions:
  Net investment income.................    (0.80)      (0.39)
  Net realized gain on
   investments..........................    (0.00)      (0.00)
  Return of capital.....................    (0.00)      (0.00)
  Sources other than net
   investment income....................    (0.00)      (0.00)
                                          --------   ----------
    Total distributions.................    (0.80)      (0.39)
                                          --------   ----------
Net asset value, end of period..........  $ 11.17     $ 11.25
                                          --------   ----------
                                          --------   ----------
Total investment return (d).............      6.8%        1.2%(a)
Ratios and supplemental data:
  Net assets, end of period
   (in 000's)...........................  $37,820     $21,830
  Ratio of net investment income to
   average net assets...................      7.7%*      7.22%*(e)
Ratio of expenses to average net assets:
  With expense reductions...............      1.8%*      1.70%*(e)
  Without expense reductions............       --%(f)       --%(f)
Ratio of interest expenses to average
 net assets.............................      N/A         N/A
Portfolio turnover rate+++..............      385%        340%
 
<CAPTION>
                                                                                         ADVISOR
                                                           CLASS B++                     CLASS**
                                          --------------------------------------------   --------
 
                                                                              OCT. 22,   JUNE 1,
                                               YEAR ENDED OCTOBER 31,         1992 TO    1995 TO
                                          ---------------------------------   OCT. 31,   OCT. 31,
                                           1995(C)     1994(C)     1993(C)      1992     1995(C)
                                          ---------   ---------   ---------   --------   --------
<S>                                       <C>         <C>         <C>         <C>        <C>
Per Share Operating Performance:
Net asset value, beginning of
 period.................................  $  10.88    $  13.60    $  11.24    $ 11.36    $ 10.32
                                          ---------   ---------   ---------   --------   --------
Income from investment operations:
  Net investment income.................      0.91        0.73        0.89       0.01       0.41
  Net realized and unrealized gain
   (loss) on investments................     (0.69)      (2.14)       2.85      (0.13)     (0.04)
                                          ---------   ---------   ---------   --------   --------
    Net increase (decrease) from
     investment operations..............      0.22       (1.41)       3.74      (0.12)      0.37
Distributions:
  Net investment income.................     (0.73)      (0.72)      (0.89)     (0.00)     (0.34)
  Net realized gain on
   investments..........................     (0.00)      (0.38)      (0.37)     (0.00)     (0.00)
  Return of capital.....................     (0.04)      (0.21)      (0.00)     (0.00)     (0.02)
  Sources other than net
   investment income....................     (0.00)      (0.00)      (0.12)     (0.00)     (0.00)
                                          ---------   ---------   ---------   --------   --------
    Total distributions.................     (0.77)      (1.31)      (1.38)     (0.00)     (0.36)
                                          ---------   ---------   ---------   --------   --------
Net asset value, end of period..........  $  10.33    $  10.88    $  13.60    $ 11.24    $ 10.33
                                          ---------   ---------   ---------   --------   --------
                                          ---------   ---------   ---------   --------   --------
Total investment return (d).............      2.48%     (11.02)%      36.2%      (1.1)%(a)    3.72%(a)
Ratios and supplemental data:
  Net assets, end of period
   (in 000's)...........................  $357,852    $458,550    $310,431    $   533    $   443
  Ratio of net investment income to
   average net assets...................      8.99%       6.09%        6.5%       N/A(b)    9.99%(e)
Ratio of expenses to average net assets:
  With expense reductions...............      2.07%       2.05%        2.4%       N/A(b)    1.07%(e)
  Without expense reductions............      2.10%         --%(f)       --%(f)      --%(f)    1.10%(e)
Ratio of interest expenses to average
 net assets.............................       N/A        0.10%        N/A        N/A        N/A
Portfolio turnover rate+++..............       238%        583%        310%       418%       238%
</TABLE>
 
- ------------------------
 
+   All capital shares issued and outstanding as of October 21, 1992 were
    reclassified as Class A shares.
 
++  Commencing October 22, 1992, the Fund began offering Class B 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 Manager 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.
 
(b) Ratios are not meaningful due to short period of operation of Class B
    shares.
 
(c) These selected per share data were calculated based upon weighted average
    shares outstanding during the period.
 
(d) Total investment return does not include sales charges.
 
(e) Annualized.
 
(f)  Calculation of "Ratio of expenses to average net assets" was made without
    considering the effect of expense reductions, if any.
 
                               Prospectus Page 10
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                HIGH INCOME FUND
<TABLE>
<CAPTION>
                                                     CLASS A
                                 -----------------------------------------------
                                                                OCTOBER 22, 1992
                                                                 (COMMENCEMENT
                                    YEAR ENDED OCTOBER 31,       OF OPERATIONS)
                                 -----------------------------   TO OCTOBER 31,
                                   1995    1994(C)    1993(C)         1992
                                 --------  --------   --------  ----------------
<S>                              <C>       <C>        <C>       <C>
Per Share Operating
  Performance:
Net asset value, beginning of
  year.........................  $  12.56  $  14.92   $  11.43       $11.43
                                 --------  --------   --------      -------
Income from investment
  operations:
  Net investment income........      1.35      0.94       0.78         0.00
  Net realized and unrealized
   gain (loss) on
   investments.................     (1.09)    (1.87)      3.92         0.00
                                 --------  --------   --------      -------
  Net increase (decrease) from
   investment operations.......      0.26     (0.93)      4.70         0.00
                                 --------  --------   --------      -------
Distributions:
  Net investment income........     (1.03)    (0.94)     (0.78)       (0.00)
  Net realized gain on
   investments.................     (0.03)    (0.27)     (0.00)       (0.00)
  In excess of net realized
   gain on investments.........     (0.00)    (0.22)     (0.00)       (0.00)
  Sources other than net
   investment income...........     (0.00)    (0.00)     (0.43)       (0.00)
  Return of capital............     (0.06)    (0.00)     (0.00)       (0.00)
                                 --------  --------   --------      -------
    Total distributions........     (1.12)    (1.43)     (1.21)       (0.00)
                                 --------  --------   --------      -------
Net asset value, end of year...  $  11.70  $  12.56   $  14.92       $11.43
                                 --------  --------   --------      -------
                                 --------  --------   --------      -------
Total investment return (e)....      2.81%    (6.45)%     43.6%         0.0%(b)
                                 --------  --------   --------      -------
                                 --------  --------   --------      -------
 
Ratios and supplemental data:
Net assets, end of period (in
  000's).......................  $142,002  $167,974   $143,171       $  207
Ratio of net investment income
  (loss) to average net
  assets.......................     11.85%     7.00%       6.4%         N/A(d)
Ratio of operating expenses to
  average net assets...........      1.75%     1.57%       2.2%         N/A(d)
Ratio of interest expense to
  average net assets...........       N/A      0.22%       N/A          N/A
 
<CAPTION>
                                                                                       ADVISOR
                                                     CLASS B                           CLASS**
                                 ------------------------------------------------   -------------
                                                                 OCTOBER 22, 1992
                                                                  (COMMENCEMENT     JUNE 1, 1995
                                    YEAR ENDED OCTOBER 31,        OF OPERATIONS)         TO
                                 -----------------------------    TO OCTOBER 31,     OCTOBER 31,
                                   1995    1994(C)    1993(C)          1992             1995
                                 --------  --------   --------   ----------------   -------------
<S>                              <C>       <C>        <C>        <C>                <C>
Per Share Operating
  Performance:
Net asset value, beginning of
  year.........................  $  12.56  $  14.90   $  11.43        $11.43           $11.44
                                 --------  --------   --------       -------        -------------
Income from investment
  operations:
  Net investment income........      1.27      0.86       0.70          0.00             0.57
  Net realized and unrealized
   gain (loss) on
   investments.................     (1.09)    (1.85)      3.90          0.00             0.17
                                 --------  --------   --------       -------        -------------
  Net increase (decrease) from
   investment operations.......      0.18     (0.99)      4.60          0.00             0.74
                                 --------  --------   --------       -------        -------------
Distributions:
  Net investment income........     (0.96)    (0.86)     (0.70)        (0.00)           (0.44)
  Net realized gain on
   investments.................     (0.03)    (0.27)     (0.00)        (0.00)           (0.00)
  In excess of net realized
   gain on investments.........     (0.00)    (0.22)     (0.00)        (0.00)           (0.00)
  Sources other than net
   investment income...........     (0.00)    (0.00)     (0.43)        (0.00)           (0.00)
  Return of capital............     (0.06)    (0.00)     (0.00)        (0.00)           (0.03)
                                 --------  --------   --------       -------        -------------
    Total distributions........     (1.05)    (1.35)     (1.13)        (0.00)           (0.47)
                                 --------  --------   --------       -------        -------------
Net asset value, end of year...  $  11.69  $  12.56   $  14.90        $11.43           $11.71
                                 --------  --------   --------       -------        -------------
                                 --------  --------   --------       -------        -------------
Total investment return (e)....      2.07%    (6.99)%     42.6%          0.0%(b)         6.54%(b)
                                 --------  --------   --------       -------        -------------
                                 --------  --------   --------       -------        -------------
Ratios and supplemental data:
Net assets, end of period (in
  000's).......................  $214,897  $232,423   $127,035        $   53           $1,463
Ratio of net investment income
  (loss) to average net
  assets.......................     11.20%     6.35%       5.8%          N/A(d)         12.20%(a)
Ratio of operating expenses to
  average net assets...........      2.40%     2.22%       2.8%          N/A(d)          1.40%(a)
Ratio of interest expense to
  average net assets...........       N/A      0.22%       N/A           N/A              N/A
</TABLE>
 
- ----------------------------------
 
(a) Annualized.
 
(b) Not annualized.
 
(c) These selected per share data were calculated based upon weighted 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.
 
**  Commencing June 1, 1995, the Fund began offering Advisor Class shares.
<TABLE>
<CAPTION>
                                                                   AVERAGE              AVERAGE NUMBER OF
                                       AMOUNT OF DEBT          AMOUNT OF DEBT             FUND'S SHARES
                                       OUTSTANDING AT            OUTSTANDING               OUTSTANDING
                                        END OF PERIOD         DURING THE PERIOD         DURING THE PERIOD
                                    ---------------------  -----------------------  --------------------------
<S>                                 <C>                    <C>                      <C>
Year Ended October 31, 1995.......        $       0               $       0           Class A -- 12,506,489
                                                                                      Class B -- 18,165,351
                                                                                     Advisor Class -- 123,522
 
<CAPTION>
                                            AVERAGE
                                        AMOUNT OF DEBT
                                           PER SHARE
                                       DURING THE PERIOD
                                    -----------------------
<S>                                 <C>
Year Ended October 31, 1995.......         $       0
</TABLE>
 
                               Prospectus Page 11
<PAGE>
                             GT 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. The Fund's secondary objectives are
capital appreciation and protection of principal through active management of
its maturity structure and currency exposure. There is no assurance that the
Fund's investment objectives will be achieved.
 
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. 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 and Poor's Ratings Group
("S&P") or, if not rated, determined to be of comparable quality by LGT Asset
Management. 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 Manager to be fully exchangable into U.S. dollars (or a multinational
currency unit) without legal restriction. The Fund 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 Fund may invest up to 10% of its total assets in "illiquid securities." The
Fund may also use instruments (including forward currency contracts) often
referred to as "derivatives." See "Options, Futures and Forward Currency
Transactions."
 
The Fund may also invest up to 35% of its total assets in a combination of: (a)
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 Manager to be of comparable
quality; (b) 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; and (c) 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.
 
The Manager allocates the Fund's assets among securities of countries and in
currency denominations where opportunities for meeting the Fund's investment
objectives are expected to be the most attractive. The Manager 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 of the supply of funds available for investment in the world bond
market relative to the demands placed upon it.
 
STRATEGIC INCOME FUND
 
The Strategic Income Fund primarily seeks high current income and secondarily
seeks capital appreciation. There is no assurance that the Fund's investment
objectives will be achieved.
 
The Strategic Income 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
 
                               Prospectus Page 12
<PAGE>
                             GT GLOBAL INCOME FUNDS
Fund may invest include bonds, notes, debentures, and other similar instruments.
The Fund normally invests at least 50% of its total assets in U.S. and foreign
debt and other fixed income securities that, at the time of purchase, are rated
at least investment grade or, if not rated, determined by the Manager 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. See "Risk Factors."
 
The Fund considers "emerging markets" to consist of all countries determined by
the Manager 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 Fund will consider investment in the following emerging markets:
 
<TABLE>
<S>                      <C>
Algeria                  Jordan
Argentina                Kenya
Bolivia                  Malaysia
Botswana                 Mauritius
Brazil                   Mexico
Bulgaria                 Morocco
Chile                    Nicaragua
China                    Nigeria
Colombia                 Pakistan
Costa Rica               Panama
Cyprus                   Peru
Czech Republic           Philippines
Dominican                Poland
 Republic                Portugal
Ecuador                  Republic of Slovakia
Egypt                    Russia
El Salvador              Singapore
Finland                  South Africa
Ghana                    South Korea
Greece                   Sri Lanka
Hong Kong                Swaziland
Hungary                  Taiwan
India                    Thailand
Indonesia                Turkey
Israel                   Uruguay
Ivory Coast              Venezuela
Jamaica                  Zimbabwe
</TABLE>
 
The Strategic Income Fund 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 for the Strategic
Income Fund's assets, 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.
 
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 market governments. "Sovereign debt
securities" are those issued by emerging market governments that are traded in
the markets of developed countries or groups of developed countries. The Manager
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 consider making carefully selected investments in
below-investment grade debt securities of corporate issuers in the United States
and in developed foreign countries, subject to the overall 50% limitation. See
"Risk Factors" for a more complete description of the risks associated with
investment in emerging market and other lower quality debt securities. The Fund
also may invest in bank loan participations and assignments, which are fixed and
floating rate loans arranged through private negotiations between foreign
entities. See "General Policies -- Loan Participations and Assignments" below.
The Fund may invest up to 15% of its net assets in illiquid securities. The Fund
may also use instruments (including forward currency contracts) often referred
to as "derivatives." See "General Policies -- Options, Futures and Forward
Currency Transactions."
 
HIGH INCOME FUND
 
The High Income Fund primarily seeks high current income, and secondarily seeks
capital appreciation. The Fund seeks its objectives by investing all of its
investable assets in the Global High Income 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. There is no assurance
that the
 
                               Prospectus Page 13
<PAGE>
                             GT GLOBAL INCOME FUNDS
Portfolio's or the Fund's investment objectives will be achieved.
 
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.
 
Under normal circumstances, the Portfolio may invest up to 35% of its total
assets in a combination of (i) equity securities of issuers in emerging markets
included in the list above under the caption "Strategic Income Fund"; (ii)
equity and debt securities of issuers in developed countries, including the
United States; (iii) securities of issuers in emerging markets not included in
the list of emerging markets above, if investing therein becomes feasible and
desirable subsequent to the date of this Prospectus; and (iv) cash and money
market instruments. In evaluating investments in securities of issuers in
developed markets, the Manager 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.
 
The Portfolio considers "emerging markets" to consist of all countries
determined by the Manager 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 in Western
Europe. The Portfolio will consider investment in emerging markets listed above
under "Strategic Income Fund." 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
for the Portfolio's assets, 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 Statement of Additional Information, an issuer in
an emerging market is an entity: (i) for which the principal securities trading
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.
 
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 Manager's credit analysis. The Portfolio may invest in securities that
are in default as to payment of principal and/or interest.
 
The Portfolio may invest in bank loan participations and assignments, which are
fixed and floating rate loans arranged through private negotiations between
foreign entities. See "General Policies -- Loan Participations and Assignments"
below. The Portfolio may invest up to 15% of its net assets in illiquid
securities. The Portfolio may also use instruments (including forward currency
contracts) often referred to as "derivatives." See "General Policies -- Options,
Futures and Forward Currency Transactions."
 
OTHER INFORMATION REGARDING THE PORTFOLIO. The High Income Fund may withdraw its
investment from 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 such withdrawal, 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 the Fund's assets in accordance with the investment
objectives, policies and limitations discussed herein with respect to the
Portfolio.
 
The approval of the High Income Fund and of other investors in the Portfolio, if
any, is not required to
 
                               Prospectus Page 14
<PAGE>
                             GT GLOBAL INCOME FUNDS
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. If the objectives of the Portfolio change and the
shareholders of the High Income Fund do not approve a parallel change in the
Fund's investment objectives, the Fund would seek an alternative investment
vehicle or directly retain its own investment adviser.
 
As previously described, investors should be aware that the High Income Fund,
unlike mutual funds which 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.
Since the Fund will invest only in the Portfolio, the Fund's shareholders will
acquire only an indirect interest in the investments of the Portfolio.
 
In addition to selling its interests to the Fund, the Portfolio may sell its
interests 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
all of its assets in the Portfolio, it would not be required to sell its shares
at the same public offering price as the Fund and may charge different sales
commissions. Therefore, investors in the Fund may experience different returns
from investors in another investment company which 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 large investors 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, the Portfolio's
remaining investors could experience higher pro rata operating expenses, thereby
producing lower returns. As a result, 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. A change in the Portfolio's fundamental objectives, policies and
restrictions, which is not approved by the shareholders of the 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. Should such a distribution occur, the Fund
could incur brokerage fees or other transaction costs in converting such
securities to cash. In addition, a distribution in kind could result in a less
diversified portfolio of investments for the Fund and could affect adversely the
liquidity of the Fund.
 
See "Management" for a complete description of the management and other expenses
associated with the High Income Fund's investment in the Portfolio. This
Prospectus and the Statement of Additional Information relating to the High
Income Fund and the Portfolio, dated February 29, 1996, contain more detailed
information about the High Income Fund and the Portfolio, including information
related to (i) the investment policies and restrictions of the Fund and the
Portfolio, (ii) the Directors and officers of the Company, the Trustees and
officers of the Portfolio, the administrator of the Fund and the investment
manager and administrator of the Portfolio, (iii) portfolio transactions and
brokerage commissions, (iv) the Fund's shares, including the rights and
liabilities of its shareholders, (v) additional performance information,
including the method used to calculate yield and total return, (vi) the
determination of the value of the shares of the Fund and (vii) the audited
financial statements of Assets and Liabilities of the Fund and the Portfolio at
October 31, 1995, respectively.
 
                                GENERAL POLICIES
 
TEMPORARY DEFENSIVE STRATEGIES. The Manager 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 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,
and 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
 
                               Prospectus Page 15
<PAGE>
                             GT GLOBAL INCOME FUNDS
invested so as to achieve directly their investment objectives.
 
In addition, pending investment of proceeds from new sales of Fund or Portfolio
shares or to meet ordinary daily cash needs, the Government Income Fund, the
Strategic Income Fund and the Portfolio temporarily may hold cash (U.S. dollars,
foreign currencies or multinational currency units) and may invest any portion
of its assets in high quality foreign or domestic money market instruments.
 
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 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 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. See "Risk Factors."
 
The Manager selectively will allocate 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 Manager 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 will be 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 Manager 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. If the currency in which a security is denominated
appreciates against the U.S. dollar, the dollar value of the security will
increase. Conversely, if the exchange rate of the foreign currency declines, the
dollar value of the security will decrease. However, the Government Income Fund,
the Strategic Income Fund and the Portfolio each may seek to protect itself
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."
 
BRADY BONDS. 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,
among others, Albania, Argentina, Brazil, Bulgaria, Costa Rica, Dominican
Republic, Ecuador, Jordan, Mexico, Nigeria, Philippines, Poland, Uruguay,
Venezuela and are expected to be issued by Panama, Peru and other emerging
market countries. Approximately $139 billion in principal amount of Brady Bonds
are outstanding, the largest proportion having been issued by Brazil, Argentina
and Mexico. Brady Bonds issued by Brazil, Argentina and Mexico currently are
rated below investment grade. As of the date of this Prospectus, 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
have been issued only recently and, accordingly, do not have a long payment
history. Brady Bonds may be collateralized or uncollateralized, are issued in
various currencies (primarily the U.S. dollar) and are actively traded in the
secondary market for Latin American debt. The Salomon Brothers Brady Bond Index
provides a benchmark that can be used to compare returns of emerging market
Brady Bonds with returns in other bond markets, e.g., the U.S. bond market.
 
The 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
 
                               Prospectus Page 16
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 that time and is adjusted at regular
intervals thereafter.
 
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 Manager 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 which 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 segregated account consisting of cash or liquid
securities equal to the value of the when-issued or forward commitment
securities will be established and maintained with its custodian and will be
marked to market daily. 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% if 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.
 
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
 
                               Prospectus Page 17
<PAGE>
                             GT GLOBAL INCOME FUNDS
limit the amount the Fund or Portfolio can receive if the "when, as and if
issued" is in fact issued.
 
BORROWING, REVERSE REPURCHASE AGREEMENTS AND ROLL TRANSACTIONS. From time to
time, it may be advantageous for the Government Income Fund to borrow money
rather than sell existing portfolio positions to meet redemption requests.
Accordingly, 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. See "Investment Objectives and Policies" in the
Statement of Additional Information.
 
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
Manager 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 Strategic Income 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 may effectively be restricted
pending such decision.
 
The Strategic Income Fund and the Portfolio also may enter into "dollar rolls,"
in which the 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, the Fund or the Portfolio would forego principal and
interest paid
 
                               Prospectus Page 18
<PAGE>
                             GT GLOBAL INCOME FUNDS
on such securities. The 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 the Strategic Income 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 to make loans of their respective portfolio securities to
broker/dealers or to other institutional investors. 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 other liquid, high grade debt securities equal to at
least the value of the borrowed securities, plus any accrued interest. Each Fund
and the Portfolio will receive any interest paid on the loaned securities and a
fee and/or a portion of the interest earned on the collateral. Income received
in connection with securities lending may be used to offset the Fund's or the
Portfolio's custody fees. 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 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
Manager 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.
 
The Manager 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 Manager 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.
 
                               Prospectus Page 19
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Further, while these futures and currency contracts remain open, the Funds and
the Portfolio will comply with applicable Securities and Exchange Commission
guidelines to set aside cash, U.S. government securities or other liquid
securities in a segregated account with its custodian in an amount sufficient to
cover its potential obligations under such contracts.
 
The Manager 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 Manager 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. In seeking to protect
against currency exchange rate or interest rate changes that are adverse to
their present or prospective positions, the Government Income Fund, the
Strategic Income Fund and the Portfolio may employ certain risk management
practices involving the use of forward currency contracts, options on
securities, options on indices, options on currencies, and futures contracts and
options on futures contracts on U.S. and foreign government securities, indices
of those securities and currencies. 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 derivatives. 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. There can be no assurance that a Fund's or the
Portfolio's risk management practices will succeed. These techniques are
described below and are further detailed in the Statement of Additional
Information.
 
Only a limited market, if any, currently exists for forward currency contracts
and options and futures instruments relating to currencies of most emerging
markets, to securities denominated in such currencies or to securities of
issuers domiciled or principally engaged in business in such emerging markets.
To the extent that such a market does not exist, the Manager may not be able to
effectively hedge its investment in such emerging markets.
 
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. For example, when a Fund or the Portfolio
anticipates making a purchase or sale of a security, it may enter into a forward
currency contract in order to set the rate (either relative to the U.S. dollar
or another currency) at which a currency exchange transaction related to the
purchase or sale will be made. Further, when the Manager believes that a
particular currency may decline compared to the U.S. dollar or another currency,
a Fund or the Portfolio may enter into a forward contract to sell the currency
the Manager expects to decline in an amount up to the value of the portfolio
securities held by the Fund or the Portfolio denominated in a foreign currency.
 
Each Fund and the Portfolio also may purchase and sell put and call options on
currencies, futures contracts on currencies and options on futures contracts on
currencies 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
 
                               Prospectus Page 20
<PAGE>
                             GT GLOBAL INCOME FUNDS
prices of securities held by the Fund or the Portfolio or that the Manager
intends to include in the Fund's or the Portfolio's portfolio. The Funds and the
Portfolio also may buy and sell put and call options on indices. Such index
options serve to hedge against overall fluctuations in the securities markets or
market sectors generally, rather than anticipated increases or decreases in the
value of a particular security.
 
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
buy 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.
 
In addition, the Government Income Fund, the Strategic Income Fund and the
Portfolio may write and purchase put and call options on securities, currencies
and indices that are traded on recognized securities exchanges and
over-the-counter ("OTC") markets.
 
These practices may result in the loss of principal under certain conditions. In
addition, certain provisions of the Internal Revenue Code of 1986, as amended
("the Code"), have the effect of limiting the extent to which the Government
Income Fund, the Strategic Income Fund and the Portfolio may enter into forward
contracts or futures contracts, or engage in options transactions. See "Taxes"
in the Statement of Additional Information.
 
Although a Fund or the Portfolio might not employ any of the foregoing
strategies, its use of forward currency contracts, options and futures would
involve certain investment risks and transaction costs to which it might not
otherwise be subject. These risks include: (1) dependence on the Manager's
ability to predict movements in the prices of individual securities,
fluctuations in the general securities markets and movements in interest rates
and currency markets; (2) imperfect correlation, or even no correlation, between
movements in the price of forward contracts, options, futures contract's 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 the
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 inability of a Fund or the 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 the Portfolio to
sell a security at a disadvantageous time, due to the need for the Fund or the
Portfolio to maintain "cover" or to set aside securities in connection with
hedging transactions; and (6) the possible need of a Fund or the Portfolio to
defer closing out of certain options, futures contracts and options thereon and
forward currency contracts in order to qualify or continue to qualify for the
beneficial tax treatment afforded regulated investment companies under the Code.
See "Dividends, Other Distributions and Federal Income Taxation" herein and
"Taxes" in the Statement of Additional Information. If the Manager incorrectly
forecasts currency exchange rates or interest rates in utilizing a strategy for
a Fund or the Portfolio, it would be in a better position if it had not hedged
at all. A Fund or the Portfolio also may conduct its foreign currency exchange
transactions on a spot (I.E., cash) basis at the spot rate prevailing in the
foreign currency exchange market.
 
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 Strategic Income
Fund and the 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
 
                               Prospectus Page 21
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 indexed securities (in addition to indexed
commercial paper), 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 objective.
 
OTHER INFORMATION. For the fiscal years ended October 31, 1995 and 1994, the
portfolio turnover rates for the Government Income Fund, the Strategic Income
Fund and the Portfolio were 385% and 625%, 238% and 583%, and 213% and 178%,
respectively. 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 to shareholders. See "Management" and "Dividends,
Other Distributions, and Federal Income Taxation."
 
Each Fund's investment objectives may not be changed without the approval of a
majority of the respective Fund's outstanding voting securities. As defined in
the Investment Company Act of 1940, as amended ("1940 Act") and as used in this
Prospectus, 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
are not fundamental policies and may be changed by a vote of a majority of the
Company's Board of Directors without shareholder approval, provided that any
such policies as so amended do not conflict with that Fund's fundamental
investment limitations.
 
                               Prospectus Page 22
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                  RISK FACTORS
 
- --------------------------------------------------------------------------------
 
GENERAL. Each 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. There is no assurance that any Fund or the Portfolio will achieve its
investment objectives.
 
According to the Manager, as of December 31, 1995, over 65% of the value of all
outstanding government debt obligations throughout the world was 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 Manager 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.
 
Nonetheless, foreign investing does entail certain risks. 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. 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. The Government Income and Strategic Income
Funds' and the Portfolio's net investment income 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.
 
Each Fund and the Portfolio is classified under the 1940 Act as a
"non-diversified" fund; therefore, the Government Income Fund, the Strategic
Income Fund, the High Income Fund (through its investment in the Portfolio) and
the Portfolio each will be able, with respect to 50% of their total assets, to
invest more than 5% of their total assets in obligations of one issuer. Because
each Fund and the Portfolio is permitted to invest a greater proportion of its
assets in the securities of 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
than mutual funds which are required to be more broadly diversified.
 
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 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
 
                               Prospectus Page 23
<PAGE>
                             GT GLOBAL INCOME FUNDS
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.
 
RISKS ASSOCIATED WITH INVESTMENT 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 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
 
                               Prospectus Page 24
<PAGE>
                             GT GLOBAL INCOME FUNDS
of the Company's Board of Directors or the Portfolio's Board of Trustees.
 
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.
 
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 Manager 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
 
                               Prospectus Page 25
<PAGE>
                             GT GLOBAL INCOME FUNDS
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.
 
RISKS ASSOCIATED WITH INVESTMENTS IN LOWER QUALITY DEBT SECURITIES. As discussed
above, it is expected that 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 substantially all the Portfolio's 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. For S&P, BB indicates the lowest
degree of speculation for such lower quality debt and C the highest degree of
speculation. For Moody's, Baa indicates the lowest degree of speculation for
such lower quality debt and C the highest degree of speculation. 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 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" for a full 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
 
                               Prospectus Page 26
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 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, 1995, the Strategic Income Fund and the Portfolio had 70.7%
and 37.7%, respectively, of their total net assets in debt securities that
received a rating from Moody's and 26.2% and 56.3%, respectively, of their total
net assets in debt securities that were not so rated. In addition, the Strategic
Income Fund and the Portfolio had 3.1% and 6.0%, respectively, of their total
net assets in cash and cash items. The Strategic Income Fund had the following
percentages of its total net assets invested in rated securities: Aaa -- 35.4%,
Aa -- 9.6%, A -- 9.4%, Baa -- 0.7%, Ba -- 10.0%, B -- 5.6%, Caa -- 0%, Ca -- 0%,
C -- 0%. Included under the unrated category are securities comprising 26.2% of
the Strategic Income Fund's total net assets which, while unrated, have been
determined by the Manager to be of comparable quality to securities in the
following categories: Baa (4.2%); Ba (1.6%); and B (20.4%). The Portfolio had
the following percentages of its total net assets invested in rated securities:
Aaa -- 0%, Aa -- 0%, A -- 3.7%, Baa -- 3.4%, Ba -- 18.7%, B -- 11.9%, Caa -- 0%,
Ca -- 0%, C -- 0%. Included under the unrated category are securities comprising
56.3% of the Portfolio's total net assets which, while unrated, have been
determined by the Manager to be of comparable quality to securities in the
following rating categories: Baa (11.3%); Ba (5.2%); and B (39.8%). 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
 
                               Prospectus Page 27
<PAGE>
                             GT GLOBAL INCOME FUNDS
of the future portfolio composition of the Strategic Income Fund or the
Portfolio.
 
The Manager attempts to minimize the speculative risks associated with
investments in lower quality securities through credit analysis and by carefully
monitoring current trends in interest rates, political developments and other
factors. Nonetheless, investors should carefully review the investment
objectives and policies of the Funds and the Portfolio and consider their
ability to assume the investment risks involved before making an investment in
either of those Funds.
 
- --------------------------------------------------------------------------------
 
                                 HOW TO INVEST
 
- --------------------------------------------------------------------------------
 
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 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 ("Wrap Fee Account"); (d) accounts
advised by one of the companies comprising or affiliated with Liechtenstein
Global Trust; and (e) any of the companies comprising or affiliated with
Liechtenstein Global Trust. 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 Advisors." Investors in Wrap Fee Accounts and Advisory
Accounts may only purchase Advisor Class shares through Financial Advisors who
have entered into agreements with GT Global 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.
 
Orders received by GT Global 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. A "Business Day" is any day Monday through
Friday on which the NYSE is open for business. All purchase orders will be
executed at the public offering price next determined after the purchase order
is received. The Funds and GT Global reserve the right to reject any purchase
order.
 
Fiduciaries and Financial Advisors may be required to provide information
satisfactory to GT Global concerning their eligibility to purchase Advisor Class
Shares. For specific information on opening an account, please contact your
Financial Advisor or GT Global.
 
PURCHASES BY BANK WIRE. Shares of the Funds may also be purchased through GT
Global by bank wire. Bank wire purchases will be effected at the next determined
public offering price after the bank wire is received. Accordingly, a bank wire
received by the close of regular trading on the NYSE on a Business Day will be
effected that day. 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. In the interest of economy and convenience, 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
 
                               Prospectus Page 28
<PAGE>
                             GT GLOBAL INCOME FUNDS
involving non-certificated shares because the physical delivery and processing
of properly executed certificates is required. ACCORDINGLY, THE FUNDS AND GT
GLOBAL 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 GT Global Mutual Funds. The Program will automatically rebalance their
holdings of GT Global Mutual 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, GT Global Mutual 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 GT Global Mutual Funds in the shareholder's Personal Portfolio for
shares of the same class(es) of one or more other GT Global Mutual Funds in the
shareholder's Personal Portfolio. See "How to Make Exchanges." If shares of the
Funds in a shareholder's Personal Portfolio have appreciated during a
rebalancing period, the Program will result in shares of Fund(s) that have
appreciated most during the period being exchanged for shares of 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 TAX PURPOSES.
See "Dividends, Other Distributions and Federal Income Taxation."
 
The Program will automatically rebalance the shareholder's Personal Portfolio on
the 28th day of the last month of the period chosen (or 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 GT Global 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. Shareholders participating in
the Program may also participate in the Right of Accumulation, Letter of Intent,
and Dollar Cost Averaging programs. Certain brokers may charge a fee for
establishing accounts relating to the Program.
 
A shareholder interested in more information regarding the Program should
contact his or her financial adviser. 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.
 
                               Prospectus Page 29
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                             HOW TO MAKE EXCHANGES
 
- --------------------------------------------------------------------------------
 
Advisor Class shares of any Fund may only be exchanged for Advisor Class shares
of other GT Global Mutual Funds based on their respective net asset values,
provided that the registration remains identical. This exchange privilege is
available only in those jurisdictions where the sale of GT Global Mutual Fund
shares to be acquired may be legally made. EXCHANGES ARE NOT TAX-FREE AND MAY
RESULT IN A SHAREHOLDER REALIZING A GAIN OR LOSS, AS THE CASE MAY BE, FOR TAX
PURPOSES. See "Dividends, Other Distributions and Federal Income Taxation --
Taxes." In addition to than the Funds, the GT Global Mutual Funds currently
include:
 
      -- GT GLOBAL WORLDWIDE GROWTH FUND
      -- GT GLOBAL INTERNATIONAL GROWTH FUND
      -- GT GLOBAL EMERGING MARKETS FUND
      -- GT GLOBAL HEALTH CARE FUND
      -- GT GLOBAL TELECOMMUNICATIONS FUND
      -- GT GLOBAL FINANCIAL SERVICES FUND
      -- GT GLOBAL INFRASTRUCTURE FUND
      -- GT GLOBAL NATURAL RESOURCES FUND
      -- GT GLOBAL CONSUMER PRODUCTS AND
         SERVICES FUND
      -- GT GLOBAL NEW PACIFIC GROWTH FUND
      -- GT GLOBAL EUROPE GROWTH FUND
      -- GT GLOBAL LATIN AMERICA GROWTH FUND*
      -- GT GLOBAL AMERICA GROWTH FUND
      -- GT GLOBAL AMERICA SMALL CAP GROWTH FUND
      -- GT GLOBAL AMERICA VALUE FUND
      -- GT GLOBAL JAPAN GROWTH FUND
      -- GT GLOBAL GROWTH & INCOME FUND
      -- GT GLOBAL DOLLAR FUND
- ------------------------
 
*   Formerly G.T. Global Latin America Growth Fund.
 
Up to four exchanges each year per Fund may be made without charge. A $7.50
service charge will be imposed on each subsequent exchange. 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 BY TELEPHONE. A shareholder may give exchange information to his or
her Financial Advisor.
 
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, GT
Global 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, including requiring some
form of personal identification prior to acting upon instructions received by
telephone, providing written confirmation of such transactions, and/or tape
recording of telephone instructions.
 
Investors in Wrap Fee Accounts and Advisory Accounts interested in making an
exchange should contact his or her Financial Advisor to request the prospectus
of the other GT Global Mutual Fund(s) being considered. Other investors should
contact GT Global. See the Shareholder Account Manual in this Prospectus for
additional information.
 
OTHER INFORMATION ABOUT EXCHANGES. Purchases, redemptions and exchanges should
be made for investment purposes only. A pattern of frequent exchanges, purchases
and sales is not acceptable and can be limited by a Fund's or GT Global's
refusal to accept further purchase and exchange orders. The terms of the
exchange offer described above may be modified at any time, on 60 days' prior
written notice.
 
                               Prospectus Page 30
<PAGE>
                             GT 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. All redemptions will be effected at the net asset
value next determined after the Transfer Agent has received the request in good
order and any required supporting documentation. Redemption requests received
before the close of regular trading on the NYSE on any Business Day will be
effected at the net asset value calculated on that day. 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 thirty 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 $1,000. 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
THIRTY DAYS FOLLOWING ANY CHANGE OF THE SHAREHOLDER'S ADDRESS OF RECORD.
 
Shareholders automatically have telephone privileges to authorize redemptions.
The Funds, GT Global 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, including
requiring some form of personal identification prior to acting upon instructions
received by telephone, 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 thirty 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 or her Financial Advisor.
 
Except in extraordinary circumstances and as permitted under the 1940 Act,
payment for shares
 
                               Prospectus Page 31
<PAGE>
                             GT GLOBAL INCOME FUNDS
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
it 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.
 
GT Global reserves the right to redeem the shares of any Advisory Account or
Wrap Fee Account if the amount invested in GT Global Mutual 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 GT Global Mutual Funds through such account
to an aggregate amount of $500 or more.
 
For additional information on how to redeem shares, see the Shareholder Account
Manual in this Prospectus, or contact your Financial Advisor.
 
                               Prospectus Page 32
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                           SHAREHOLDER ACCOUNT MANUAL
 
- --------------------------------------------------------------------------------
 
Purchase, exchange and redemption orders may be placed in accordance with this
Manual. PLEASE BE CAREFUL TO REFERENCE "ADVISOR CLASS" IN ALL INSTRUCTIONS
PROVIDED. See "How to Invest;" "How to Make Exchanges;" "How to Redeem Shares;"
and "Dividends, Other Distributions, and Federal Income Taxation -- Taxes" 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:
 
    GT Global
    P.O. Box 7345
    San Francisco, California 94120-7345
 
INVESTMENTS BY BANK WIRE
 
An investor opening a new account should call 1-800-223-2138 to obtain an
account number. WITHIN SEVEN DAYS OF PURCHASE SUCH AN INVESTOR MUST SEND A
COMPLETED ACCOUNT APPLICATION CONTAINING THE INVESTOR'S CERTIFIED TAXPAYER
IDENTIFICATION NUMBER TO GT GLOBAL AT 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 GT Global at 1-800-223-2138
 
EXCHANGES BY MAIL
 
Send complete instructions, including name of Fund exchanging from, amount of
exchange, name of the GT Global Mutual Fund exchanging into, shareholder's
registered name and account number, to:
 
    GT Global
    P.O. Box 7893
    San Francisco, California 94120-7893
 
REDEMPTIONS BY TELEPHONE
 
Call GT Global 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:
 
    GT Global
    P.O. Box 7893
    San Francisco, California 94120-7893
 
OVERNIGHT MAIL
 
Overnight mail services do not deliver to post office boxes. To send purchase,
exchange or redemption orders by overnight mail, comply with the above
instructions but send to the following address:
 
    GT Global Investor Services
    California Plaza
    2121 N. California Boulevard
    Suite 450
    Walnut Creek, California 94596
 
ADDITIONAL QUESTIONS
 
Shareholders with additional questions regarding purchase, exchange and
redemption procedures should call GT Global at 1-800-223-2138.
 
                               Prospectus Page 33
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                         CALCULATION OF NET ASSET VALUE
 
- --------------------------------------------------------------------------------
 
The Funds calculate 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
investment in 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 Manager 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. 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 portfolio securities, from time to time, may be listed primarily on
foreign exchanges or OTC dealer markets which may trade on days when the NYSE is
closed (such as Saturday). As a result, the net asset values of a Fund's shares
may be significantly affected by such trading on days when shareholders have no
access to that Fund.
 
- --------------------------------------------------------------------------------
                         DIVIDENDS, OTHER DISTRIBUTIONS
                          AND FEDERAL INCOME TAXATION
 
- --------------------------------------------------------------------------------
 
DIVIDENDS AND OTHER DISTRIBUTIONS. Each Fund 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 short-term capital gain (the excess of short-term capital gains
over short-term capital losses), net capital gain (the excess of net long-term
capital gain over net short-term capital loss) and net gains from foreign
currency transactions, if any. Each Fund may make an additional dividend or
other distribution 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 GT Global
    Mutual Funds); or
 
/ / to receive dividends in cash and have other distributions automatically
    reinvested in additional Advisor Class shares of the distributing Fund (or
    other GT Global Mutual Funds); or
 
                               Prospectus Page 34
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
/ / to receive other distributions in cash and have dividends automatically
    reinvested in additional Advisor Class shares of the distributing Fund (or
    other GT Global Mutual 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 GT Global Mutual 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 STATUS OF DIVIDENDS AND OTHER
DISTRIBUTIONS IS 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-dividend 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 it 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 that is
distributed to its shareholders. The Portfolio expects that it also will not be
liable for any federal income tax.
 
Dividends from a Fund's investment company taxable income 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.
 
Each Fund provides federal tax information to its shareholders annually,
including information about dividends and other distributions paid during the
preceding year and, under certain circumstances, the shareholders' respective
shares of any foreign taxes treated as paid 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.
 
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 GT Global Mutual Fund (including another 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>
                             GT 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, and have approved contracts with various financial organizations
to provide, among other things, day to day management services required by the
Funds and the Portfolio. See "Directors, Trustees, and Executive Officers" in
the Statement of Additional Information for a complete description of the
Directors of each of the Funds and the Trustees of the Portfolio. A majority of
the disinterested members of the Board of Directors of the Company and the Board
of Trustees of the Portfolio have adopted written procedures reasonably
appropriate to deal with potential conflicts of interest up to and including
creating a separate Board of Trustees for the Portfolio.
 
INVESTMENT MANAGEMENT AND ADMINISTRATION. Services provided by Chancellor LGT
Asset Management, Inc. (the "Manager") as the Government Income Fund's, the
Strategic Income Fund's and the Portfolio's investment manager and administrator
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, the Manager provides 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 the Manager
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. The High Income Fund pays
administration fees, directly to the Manager at the annualized rate of 0.25% of
the Fund's average daily net assets. In addition, the Fund bears its pro rata
portion of the investment management and administration fees paid by the
Portfolio to the Manager. The Portfolio pays such fees, based on the average
daily net assets of the Portfolio, directly to the Manager 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. These rates are higher than those
paid by most mutual funds. Each Fund pays all expenses not assumed by the
Manager, GT Global or any other agents. The Manager and GT Global have
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. The
Manager and GT Global have undertaken to limit the expenses of the High Income
Fund's Advisor 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 Manager also serves as each Fund's pricing and accounting agent. The monthly
fee for these services to the Manager is a percentage, not to exceed 0.03%
annually, of the Fund's average daily net assets. The annual fee rate is derived
by applying 0.03% to the first $5 billion of assets of GT Global Mutual 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.
 
The Manager provides investment management and/or administration services to the
GT Global Mutual Funds. The Manager and its worldwide asset management
affiliates have provided investment management and/or administration services to
institutional, corporate and individual clients around the world since 1969. The
U.S. offices of the
 
                               Prospectus Page 36
<PAGE>
                             GT GLOBAL INCOME FUNDS
Manager are located at 50 California Street, 27th Floor, San Francisco, CA 94111
and 1166 Avenue of the Americas, New York, NY 10036.
 
The Manager and its worldwide affiliates, including LGT Bank in Liechtenstein,
formerly Bank in Liechtenstein, comprise Liechtenstein Global Trust, formerly
BIL GT Group Limited. Liechtenstein Global Trust is a provider of global asset
management and private banking products and services to individual and
institutional investors. Liechtenstein Global Trust is controlled by the Prince
of Liechtenstein Foundation, which serves as a parent organization for the
various business enterprises of the Princely Family of Liechtenstein. The
principal business address of the Prince of Liechtenstein Foundation is
Herrengasse 12, FL-9490, Vaduz, Liechtenstein.
 
As of October 31, 1996, the Manager and its worldwide asset management
affiliates manage approximately $59 billion. In the United States, as of October
31, 1996, the Manager manages or administers approximately $10 billion of GT
Global Mutual Funds. As of October 31, 1996, assets entrusted to Liechtenstein
Global Trust total approximately $80 billion.
 
On October 31, 1996, Chancellor Capital Management, Inc. ("Chancellor Capital")
merged with LGT Asset Management, Inc. As of September 30, 1996, Chancellor
Capital and its affiliates, based in New York, were the 15th largest independent
investment manager in the United States with approximately $33 billion in assets
under management. Chancellor Capital specialized in public and private U.S.
equity and bond portfolio management for over 300 U.S. institutional clients.
 
In addition to the investment resources of its San Francisco and New York
offices, the Manager draws upon the expertise, personnel, data and systems of
other offices of Liechtenstein Global Trust, including investment offices in
Frankfurt, Hong Kong, London, Singapore, Sydney, Tokyo, and Toronto. In managing
the GT Global Mutual Funds, the Manager employs a team approach, taking
advantage of its investment resources around the world in seeking to achieve
each Fund's investment objective. Many of the GT Global Mutual Funds' portfolio
managers are natives of the countries in which they invest, speak local
languages and/or live or work in the markets they follow.
 
The investment professionals primarily responsible for the portfolio management
of the Government Income Fund, the Strategic Income Fund and the Portfolio are
as follows:
 
                             GOVERNMENT INCOME FUND
<TABLE>
<CAPTION>
                             RESPONSIBILITIES FOR                             BUSINESS EXPERIENCE
NAME/OFFICE                        THE FUND                                     LAST FIVE YEARS
- -------------------------  -------------------------  -------------------------------------------------------------------
<S>                        <C>                        <C>
Robert F. Allen            Portfolio Manager since    Portfolio Manager for the Manager since 1989.
 San Francisco              1989
 
                                                  STRATEGIC INCOME FUND
 
<CAPTION>
 
                             RESPONSIBILITIES FOR                             BUSINESS EXPERIENCE
NAME/OFFICE                        THE FUND                                     LAST FIVE YEARS
- -------------------------  -------------------------  -------------------------------------------------------------------
<S>                        <C>                        <C>
Simon Nocera               Portfolio Manager since    Chief Investment Officer for Emerging Market Debt for the Manager
 San Francisco              1992                       since January 1996. Mr. Nocera has been a Portfolio Manager and
                                                       Economist for the Manager since 1992. From 1991 to 1992, Mr.
                                                       Nocera was Senior Vice President and Director for Global Fixed
                                                       Income Research at The Putnam Companies. Prior thereto, Mr. Nocera
                                                       was a Financial Economist at the International Monetary Fund.
Ralf Lochmuller            Portfolio Manager since    Chief Investment Officer for Core Market Debt for the Manager since
 San Francisco              1996                       January 1996. Prior thereto, Mr. Lochmuller was head of Portfolio
                                                       Management for a subsidiary of Liechtenstein Global Trust. He also
                                                       held a number of positions of increasing responsibility with LGT
                                                       Asset Management GmbH, Frankfurt. He joined the Manager in 1988 as
                                                       a Portfolio Manager.
</TABLE>
 
                               Prospectus Page 37
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
<TABLE>
<CAPTION>
                                      HIGH INCOME PORTFOLIO
 
                      RESPONSIBILITIES FOR                   BUSINESS EXPERIENCE
NAME/OFFICE              THE PORTFOLIO                         LAST FIVE YEARS
- --------------------  --------------------  ------------------------------------------------------
<S>                   <C>                   <C>
Simon Nocera          Portfolio Manager     Chief Investment Officer for Emerging Market Debt for
 San Francisco         since Portfolio       the Manager since January 1996. Mr. Nocera has been a
                       inception in 1992     Portfolio Manager and Economist for the Manager since
                                             1992. From 1991 to 1992, Mr. Nocera was Senior Vice
                                             President and Director for Global Fixed Income
                                             Research at The Putnam Companies. Prior thereto, Mr.
                                             Nocera was a Financial Economist at the International
                                             Monetary Fund.
</TABLE>
 
In placing orders for the Government Income Fund's, Strategic Income Fund's and
the Portfolio's securities transactions, the Manager seeks to obtain the best
net results. The Manager has no agreement or commitment to place orders with any
broker-dealer. Commissions or discounts in foreign securities exchanges and OTC
markets often are fixed and generally are higher than those in U.S. securities
exchanges or markets. 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 governmental 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 occassion, 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 its
obligation to obtain the best net results, the Manager may consider a
broker/dealer's sale of shares of the GT Global Mutual Funds as a factor in
considering through whom portfolio transactions will be effected. Brokerage
transactions for the Fund may be executed through any Liechtenstein Global Trust
affiliate.
 
DISTRIBUTION OF FUND SHARES. GT Global is the distributor, or principal
underwriter, of each Fund's Advisor Class shares. Like the Manager, GT Global is
a subsidiary of Liechtenstein Global Trust with offices at 50 California Street,
27th Floor, San Francisco, California 94111.
 
The Manager or an affiliate thereof may make ongoing payments to Financial
Advisors and others that facilitate the administration and servicing of Advisor
Class shareholder accounts.
 
GT Global, at its own expense, may also provide promotional incentives to
brokers that sell shares of the Funds and/or shares of the other GT Global
Mutual Funds. In some instances compensation or promotional incentives may be
offered to brokers that have sold or may sell significant amounts of shares
during specified periods of time. Such compensation and incentives may include,
but are not limited to, cash, merchandise, trips and financial assistance to
brokers in connection with preapproved conferences or seminars, sales or
training programs for invited sales personnel, payment for travel expenses
(including meals and lodging) incurred by sales personnel and members of their
families or other invited guests to various locations for such seminars or
training programs, seminars for the public, advertising and sales campaigns
regarding one or more of the GT Global Mutual Funds, and/or other events
sponsored by the broker.
 
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, GT Global 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 GT Global for the purpose of selling shares of
the Fund. 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>
                             GT 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, such as an additional investment, a
redemption or the payment of a dividend or other distribution, 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. These reports list the securities held by the Fund and include the
Fund's financial statements. Under certain circumstances, duplicate mailings of
such reports to the same household may be consolidated. In addition, the federal
income status of distributions made by the Fund to shareholders are reported
after the end of each calendar year on Form 1099-DIV.
 
ORGANIZATION OF THE COMPANY. The Company was organized as a Maryland corporation
on October 29, 1987. From time to time, the Company has and may continue to
establish other funds, each corresponding to a distinct investment portfolio and
a distinct series of the Company's common stock. 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 the Fund's shareholders individually when the matter affects the
specific interest of the Fund only, such as approval of its investment
management arrangements. In addition, each class of shares of a Fund has
exclusive voting rights with respect to its distribution plan. The shares of all
the Company's funds will be voted in the aggregate on all 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 of the Company 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.
 
Advisor Class shares are offered through this prospectus to certain investors.
There are two other classes of shares offered to investors through a separate
prospectus: Class A shares and Class B shares.
 
CLASS A. Class A shares are sold at asset value plus an initial sales charge of
up to 4.75% of the public offering price imposed at the time of purchase. This
initial sales charge is reduced or waived for certain purchases. Class A shares
of each Fund also bear annual service and distribution fees of up to 0.35% of
the average daily net assets of that class. For the fiscal year ended October
31, 1995, total operating expenses for the Class A shares were 1.45% for
Strategic Income Fund, 1.38% for Government Income Fund, and 1.75% for High
Income Fund.
 
CLASS B. Class B shares are sold at net asset value with no initial sales charge
at the time of purchase. Class B shares bear annual service and distribution
fees of up to 1.00% of the average daily net assets of that class, and investors
pay a contingent deferred sales charge of up to 5% of the lesser of the original
purchase price or the net asset value of such shares at the time of redemption.
This deferred sales charge is waived for certain redemptions and is reduced for
shares held more than one year. For the fiscal year ended October 31, 1995,
total operating expenses for the Class B shares were 2.10% for Strategic Income
Fund, 2.03% for Government Income Fund, and 2.40% for High Income Fund, of
average net assets.
 
The different expenses borne by each class of shares will result in different
net asset values and dividends. The per share net asset value of the Advisor
Class shares of a Fund generally will be higher
 
                               Prospectus Page 39
<PAGE>
                             GT GLOBAL INCOME FUNDS
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. The per share dividends on Advisor
Class shares of a Fund will generally be higher than the per share dividends on
Class A and B shares of that Fund as a result of the service and distribution
fees applicable with respect to 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 the 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 each been classified as Class A and Class B shares,
respectively. Moreover, 100 million shares have been classified as Advisor Class
shares for each Fund. This amount may be increased from time to time in the
discretion of the Board of Directors. Each share of a Fund represents an
interest in that Fund only, has a par value of $0.0001 per share, represents an
equal proportionate interest in the Fund with other shares of the Fund and is
entitled to such dividends and other distributions out of the income earned and
gain realized on the assets belonging to the Fund as may be declared at the
discretion of the Board of Directors. Each Class A, Class B and Advisor Class
share of a Fund is equal as to earnings, assets and voting privileges, except as
noted above, and each class bears the expenses related to the distribution of
its shares. Shares of each Fund when issued are fully paid and nonassessable.
 
ORGANIZATION OF THE PORTFOLIO. The Portfolio is organized as a trust under the
laws of the state of New York. 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, each will 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.
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. Because Portfolio
investors' votes are proportionate to their percentage interests in the
Portfolio, one or more other Portfolio investors could, in certain instances,
approve an action against which a majority of the outstanding voting securities
of the Fund had voted. This could result in the Fund's redeeming its investment
in the Portfolio, which could result in increased expenses for the High Income
Fund. Shares for which no voting instructions are received will be voted in the
same proportion as the shares for which voting instructions are received. Any
information received from the Portfolio in the Portfolio's report to
shareholders will be provided to shareholders of the High Income Fund.
 
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, each Fund may quote its 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 a one-year period and at the end of 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 the
Fund. Standardized Return assumes the reinvestment of all dividends and other
distributions at net asset value on the
 
                               Prospectus Page 40
<PAGE>
                             GT GLOBAL INCOME FUNDS
reinvestment date as established by the Board of Directors.
 
In addition, in order to more completely represent each Fund's performance or
more accurately compare such performance to other measures of investment return,
each Fund 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 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.
 
Each Fund also may refer in advertising and promotional materials to its 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 Class A, Class B
and Advisor Class shares of each Fund.
 
Each Fund's performance data will reflect past performance and will not
necessarily be indicative of future results. A Fund's investment results will
vary from time to time depending upon market conditions, the composition of its
portfolio and its 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.
 
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 Manager and GT Global, a subsidiary of
Liechtenstein Global Trust, and maintains its offices at California Plaza, 2121
N. California Boulevard, Suite 450, Walnut Creek, California 94596.
 
CUSTODIAN. State Street Bank and Trust Company, 225 Franklin Street, Boston,
Massachusetts 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 Manager,
GT Global 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, Massachusetts 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>
                             GT 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 -- Best quality. These securities carry the smallest degree of
    investment risk and are generally referred to as "gilt edged." Interest
    payments are protected by a large or 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 -- High quality by all standards. They are rated lower than the best
    bond 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 risks appear somewhat
    larger.
 
        A -- 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 -- Medium-grade obligations. 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 -- Have speculative elements and 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 -- 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 -- Poor standing. Such issues may be in default or there may be
    present elements of danger with respect to principal or interest.
 
        Ca -- Speculative in a high degree. Such issues are often in default or
    have other marked shortcomings.
 
        C -- Lowest rated class of bonds. 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 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 through B in its corporate bond rating system. The
modifier 1 indicates that the security ranks in the higher end of its
 
                               Prospectus Page 42
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 RATINGS GROUP ("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 -- Highest rating. Capacity to pay interest and repay principal is
    extremely strong.
 
        AA -- High grade. Very strong capacity to pay interest and repay
    principal. Generally, these bonds differ from AAA issues only in a small
    degree.
 
        A -- Have a strong capacity to pay interest and repay principal although
    it is somewhat more susceptible to the adverse effects of change in
    circumstances and economic conditions than debt in higher rated categories.
 
        BBB -- Regarded as having adequate capacity to pay interest and repay
    principal. These bonds normally exhibit adequate protection parameters, but
    adverse economic conditions or changing circumstances are more likely to
    lead to a weakened capacity to pay interest and repay principal than for
    debt in higher rated categories.
 
        BB, B, CCC, CC, C -- Debt rated "BB," "B," "CCC," "CC," and "C" are
    regarded, on balance, as predominantly speculative with respect to capacity
    to pay interest and repay principal in accordance with the terms of this
    obligation. "BB" indicates the lowest degree of speculation and "C" the
    highest degree of speculation. While such debt will likely have some quality
    and protective characteristics, these are outweighed by large uncertainties
    or major risk exposures to adverse conditions.
 
        BB -- Has less near-term volnerability to default than other speculative
    issues; however, it faces major ongoing uncertainties or exposure to adverse
    business, financial or economic conditions which could lead to inadequate
    capacity to meet timely interest and principal payments. The "BB" rating
    category is also used for debt subordinated to senior debt that is assigned
    an actual or implied "BBB-" rating.
 
        B -- Has a greater vulnerability to default but currently has the
    capacity to meet interest payments and principal repayments. Adverse
    business, financial or economic conditions will likely impair capacity or
    willingness to pay interest and repay principal. The "B" rating category is
    also used for debt subordinated to senior debt that is assigned an actual or
    implied "BB" or "BB-" rating.
 
        CCC -- Has a currently identifiable vulnerability to default, and is
    dependent upon favorable business, financial and economic conditions to meet
    timely payment of interest and repayment of principal. In the event of
    adverse business, financial or economic conditions, it is not likely to have
    the capacity to pay interest and repay principal. The "CCC" rating category
    is also used for debt subordinated to senior debt that is assigned an actual
    or implied "B" or "B-" rating.
 
        CC -- Typically applied to debt subordinated to senior debt that is
    assigned an actual or implied "CCC" rating.
 
        C -- Typically applied to debt subordinated to senior debt which is
    assigned an actual or implied "CCC-" debt rating. The "C" rating may be used
    to cover a situation where a bankruptcy petition has been filed, but debt
    service payments are continued.
 
        C1 -- Reserved for income bonds on which no interest is being paid.
 
        D -- In payment default. The "D" rating category is used when interest
    payments or principal payments 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 if debt service payments 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
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.
 
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
 
                               Prospectus Page 43
<PAGE>
                             GT GLOBAL INCOME FUNDS
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>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                               Prospectus Page 45
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                               Prospectus Page 46
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                               Prospectus Page 47
<PAGE>
 
<TABLE>
<S>                                                               <C>
[LOGO]
  GT GLOBAL MUTUAL FUNDS
P.O. Box 7345
SAN FRANCISCO, CA 94120-7345                                                                                           ADVISOR CLASS
800/223-2138                                                                                                     ACCOUNT APPLICATION
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<TABLE>
<S>                                                               <C>
/ / INDIVIDUAL  / / JOINT TENANT  / / GIFT/TRANSFER FOR MINOR  / / TRUST  / / CORP.
ACCOUNT REGISTRATION        / / NEW ACCOUNT  / / ACCOUNT REVISION (Account No.: -------------------------------------)
NOTE: Trust registrations should specify name of trustee(s), beneficiary(ies) and date of trust instrument. Registration for Uniform
Gifts/Transfers  to Minors accounts  should be in  the name of  one custodian and  one minor and  include the state  under which the
custodianship is created.
                                                                  ----------------------------------------------------------------
- ------------------------------------------------------------      Social Security Number / / or Tax I.D. Number / / (Check
Owner                                                             applicable box)
- ------------------------------------------------------------      If more than one owner, social security number or taxpayer
Co-owner 1                                                        identification number should be provided for first owner listed.
- ------------------------------------------------------------      If a purchase is made under Uniform Gift/Transfer to Minors Act,
Co-owner 2                                                        social security number of the minor must be provided.
                                                                  Resident of / / U.S.  / / Other (specify) ----------------
- --------------------------------------------------------------------------------------      ( )
Street Address                                                                              ---------------------------
- --------------------------------------------------------------------------------------      Home Telephone
City, State, Zip Code                                                                       ( )
                                                                                            ---------------------------
                                                                                            Business Telephone
FUND SELECTION $500 minimum initial investment for each Fund is required. Checks should be made payable to "GT GLOBAL."
</TABLE>
 
<TABLE>
<S>                                                  <C>             <C>                                             <C>
                                                     INITIAL                                                         INITIAL
                                                     INVESTMENT                                                      INVESTMENT
407 / / GT GLOBAL WORLDWIDE GROWTH FUND              $               413 / / GT GLOBAL LATIN AMERICA GROWTH FUND     $
                                                     ----------                                                      ----------
405 / / GT GLOBAL INTERNATIONAL GROWTH FUND          $               424 / / GT GLOBAL AMERICA SMALL CAP GROWTH      $
                                                     ----------              FUND                                    ----------
416 / / GT GLOBAL EMERGING MARKETS FUND              $               406 / / GT GLOBAL AMERICA GROWTH FUND           $
                                                     ----------                                                      ----------
411 / / GT GLOBAL HEALTH CARE FUND                   $               423 / / GT GLOBAL AMERICA VALUE FUND            $
                                                     ----------                                                      ----------
415 / / GT GLOBAL TELECOMMUNICATIONS FUND            $               404 / / GT GLOBAL JAPAN GROWTH FUND             $
                                                     ----------                                                      ----------
419 / / GT GLOBAL INFRASTRUCTURE FUND                $               410 / / GT GLOBAL GROWTH & INCOME FUND          $
                                                     ----------                                                      ----------
417 / / GT GLOBAL FINANCIAL SERVICES FUND            $               409 / / GT GLOBAL GOVERNMENT INCOME FUND        $
                                                     ----------                                                      ----------
421 / / GT GLOBAL NATURAL RESOURCES FUND             $               408 / / GT GLOBAL STRATEGIC INCOME FUND         $
                                                     ----------                                                      ----------
422 / / GT GLOBAL CONSUMER PRODUCTS                  $               418 / / GT GLOBAL HIGH INCOME FUND              $
         AND SERVICES FUND                           ----------                                                      ----------
402 / / GT GLOBAL NEW PACIFIC GROWTH FUND            $               401 / / GT GLOBAL DOLLAR FUND                   $
                                                     ----------                                                      ----------
403 / / GT GLOBAL EUROPE GROWTH FUND                 $
                                                     ----------
                                                                     TOTAL INITIAL INVESTMENT:                       $
                                                                                                                     ----------
</TABLE>
 
AGREEMENTS & SIGNATURES
 
 By the execution of this Account Application, I/we represent and warrant  that
 I/we  have full right  power and authority  and am/are of  legal age in my/our
 state of  residence  to make  the  investment  applied for  pursuant  to  this
 Application.  The  person(s),  if  any,  signing  on  behalf  of  the investor
 represent and warrant that they are  duly authorized to sign this  Application
 and  to purchase, redeem  or exchange shares  of the Fund(s)  on behalf of the
 investor. I/WE HEREBY AFFIRM THAT I/WE  HAVE RECEIVED A CURRENT ADVISOR  CLASS
 PROSPECTUS  OF THE GT GLOBAL MUTUAL FUND(S) IN WHICH I/WE AM/ARE INVESTING AND
 I/WE AGREE TO ITS TERMS AND CONDITIONS.
 
 I/WE AND MY/OUR AGENTS, ASSIGNS AND  SUCCESSORS UNDERSTAND AND AGREE THAT  THE
 ACCOUNT  WILL BE  SUBJECT TO THE  TELEPHONE EXCHANGE  AND TELEPHONE REDEMPTION
 PRIVILEGES DESCRIBED IN THE  CURRENT PROSPECTUS TO  WHICH THIS APPLICATION  IS
 ATTACHED  AND  AGREE THAT  GT GLOBAL,  INC., G.T.  GLOBAL GROWTH  SERIES, G.T.
 INVESTMENT FUNDS,  INC.,  G.T.  INVESTMENT PORTFOLIOS,  INC.  AND  THE  FUNDS'
 TRANSFER  AGENT, THEIR OFFICERS AND EMPLOYEES, WILL NOT BE LIABLE FOR ANY LOSS
 OR  DAMAGES  ARISING  OUT  OF   ANY  SUCH  TELEPHONE,  TELEX  OR   TELEGRAPHIC
 INSTRUCTIONS  REASONABLY BELIEVED  TO BE GENUINE,  INCLUDING ANY  SUCH LOSS OR
 DAMAGES DUE  TO NEGLIGENCE  ON  THE PART  OF  SUCH ENTITIES.  THE  INVESTOR(S)
 CERTIFY(IES)  AND AGREE(S) THAT THE CERTIFICATIONS, AUTHORIZATIONS, DIRECTIONS
 AND RESTRICTIONS CONTAINED HEREIN  WILL CONTINUE UNTIL  GT GLOBAL, INC.,  G.T.
 GLOBAL GROWTH SERIES, G.T. INVESTMENT FUNDS, INC., G.T. INVESTMENT PORTFOLIOS,
 INC.  OR THE FUNDS'  TRANSFER AGENT RECEIVES  WRITTEN NOTICE OF  ANY CHANGE OR
 REVOCATION. ANY CHANGE IN  THESE INSTRUCTIONS MUST BE  IN WRITING AND IN  SOME
 CASES,  AS  DESCRIBED  IN  THE PROSPECTUS,  REQUIRES  THAT  ALL  SIGNATURES BE
 GUARANTEED.
 
     PLEASE INDICATE THE NUMBER OF SIGNATURES REQUIRED TO PROCESS CHECKS OR
 WRITTEN REDEMPTION REQUESTS:  / / ONE   / / TWO   / / THREE   / / FOUR.
 
     (If you do not indicate the number of required signatures, ALL account
 owners must sign checks and/or written redemption requests.)
 
     UNDER PENALTIES OF  PERJURY, I  CERTIFY THAT  THE TAXPAYER  IDENTIFICATION
 NUMBER  ("NUMBER") PROVIDED  ON THIS  FORM IS  MY (OR  MY EMPLOYER'S, TRUST'S,
 MINOR'S OR  OTHER  PAYEE'S) TRUE,  CORRECT  AND  COMPLETE NUMBER  AND  MAY  BE
 ASSIGNED  TO ANY  NEW ACCOUNT OPENED  UNDER THE EXCHANGE  PRIVILEGE. I FURTHER
 CERTIFY THAT I  AM (OR  THE PAYEE  WHOSE NUMBER IS  GIVEN IS)  NOT SUBJECT  TO
 BACKUP  WITHHOLDING BECAUSE:  (A) I  AM (OR THE  PAYEE IS)  EXEMPT FROM BACKUP
 WITHHOLDING; (B) THE INTERNAL REVENUE SERVICE (THE "I.R.S.") HAS NOT  NOTIFIED
 ME  THAT I AM (OR THE PAYEE IS) SUBJECT TO BACKUP WITHHOLDING AS A RESULT OF A
 FAILURE TO REPORT ALL INTEREST OR DIVIDENDS; OR (C) THE I.R.S. HAS NOTIFIED ME
 THAT I AM (THE PAYEE IS) NO LONGER SUBJECT TO BACKUP WITHHOLDING;
 
    OR, / / I AM (THE PAYEE IS) SUBJECT TO BACKUP WITHHOLDING.
 
     ALL ACCOUNT OWNERS MUST SIGN BELOW (Minors are not authorized signers)
  Account revisions may require that signatures be guaranteed. Please see the
                                  Prospectus.
 
 THE I.R.S. DOES  NOT REQUIRE YOUR  CONSENT TO ANY  PROVISION OF THIS  DOCUMENT
 OTHER THAN THE CERTIFICATION REQUIRED TO AVOID BACKUP WITHHOLDING.
 
<TABLE>
<S>                                                          <C>
 
 ----------------------------------------------------------
 Date
 X                                                           X
 ----------------------------------------------------------  ----------------------------------------------------------
 X                                                           X
 ----------------------------------------------------------  ----------------------------------------------------------
</TABLE>
 
<PAGE>
ACCOUNT PRIVILEGES
 
CAPITAL GAINS AND DIVIDEND DISTRIBUTIONS
All capital gains and dividend distributions will be reinvested in additional
shares of Advisor class unless appropriate boxes below are checked:
/ / Pay capital gain distributions only in cash   / / Pay dividends only in
cash   / / Pay capital gain distributions AND dividends in cash.
 
SPECIAL CAPITAL GAINS AND DIVIDEND DISTRIBUTIONS OPTION
Pay distributions noted above to another GT Global Mutual Fund:
Fund Name  --------------------------------------------------------------------
 
<TABLE>
<S>                                                                       <C>
TELEPHONE EXCHANGE AND REDEMPTION                                         AUTHORITY TO TRANSMIT REDEMPTION PROCEEDS TO
                                                                          PRE-DESIGNATED ACCOUNT
 
I/We, either directly or through the Authorized Agent, if any, named      By completing the following section, redemptions that
below, hereby authorize the Transfer Agent of the GT Global Mutual        exceed $1,000 may be wired or mailed to a Pre-Designated
Funds, to honor any telephone, telex or telegraphic instructions          Account at your bank. (Wiring instructions may be obtained
reasonably believed to be authentic for redemption and/or exchange        from your bank.) A bank wire service fee may be charged.
between a similar class of shares of any of the Funds distributed by      ----------------------------------------------------------
GT Global, Inc.                                                           Name of Bank
                                                                          ----------------------------------------------------------
                                                                          Bank Address
                                                                          ----------------------------------------------------------
                                                                          Bank A.B.A Number                        Account Number
                                                                          ----------------------------------------------------------
                                                                          Names(s) in which Bank Account is Established
 
                                                                          A corporation (or partnership) must also submit a
                                                                          "Corporate Resolution" (or "Certificate of Partnership")
                                                                          indicating the names and titles of Officers authorized to
                                                                          act on its behalf.
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<TABLE>
<S>                                          <C>                            <C>                      <C>
FOR USE BY AUTHORIZED AGENT ONLY
 
We hereby submit this Account Application for the purchase of Advisor Class shares in accordance with the terms of our Advisor Class
Agreement with GT Global, Inc. and with the Prospectus and Statement of Additional Information of each Fund purchased.
 
- ------------------------------------------------------------------------------------------------------------------------------------
Advisor's Name
- ------------------------------------------------------------------------------------------------------------------------------------
Main Office Address      Branch Number (if applicable)      Representative's Number      Representative's Name
                                                               (     )
- -------------------------------------------------------------------------------------------------------------------------
Branch Address                                                              Telephone
 
- -------------------------------------------------------------------------------------------------------------------------
Advisor's Authorized Signature                                              Title
</TABLE>
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                             GT GLOBAL MUTUAL FUNDS
 
  GT GLOBAL OFFERS A BROAD RANGE OF MUTUAL FUNDS TO COMPLEMENT MANY INVESTORS'
  PORTFOLIOS. FOR MORE INFORMATION AND A PROSPECTUS ON ANY OF THE GT GLOBAL
  MUTUAL FUNDS, PLEASE CONTACT YOUR FINANCIAL ADVISOR OR CALL GT GLOBAL
  DIRECTLY AT 1-800-824-1580.
 
GROWTH FUNDS
 
/ / GLOBALLY DIVERSIFIED FUNDS
 
GT GLOBAL WORLDWIDE GROWTH FUND
Invests around the world, including the U.S.
 
GT GLOBAL INTERNATIONAL GROWTH FUND
Provides portfolio diversity by investing outside
the U.S.
 
GT GLOBAL EMERGING MARKETS FUND
Gives access to the growth potential of developing economies
 
/ / GLOBAL THEME FUNDS
 
GT GLOBAL CONSUMER PRODUCTS AND SERVICES FUND
Invests in companies that manufacture, market, retail, or distribute consumer
products or services
 
GT GLOBAL FINANCIAL SERVICES FUND
Focuses on the worldwide opportunities from the demand for financial services
and products
 
GT GLOBAL HEALTH CARE FUND
Invests in growing health care industries worldwide
 
GT GLOBAL INFRASTRUCTURE FUND
Seeks companies that build, improve or maintain a country's infrastructure
 
GT GLOBAL NATURAL RESOURCES FUND
Concentrates on companies that own, explore or develop natural resources
 
GT GLOBAL TELECOMMUNICATIONS FUND
Invests in companies worldwide that develop, manufacture or sell
telecommunications services or equipment
 
/ / REGIONALLY DIVERSIFIED FUNDS
 
GT GLOBAL NEW PACIFIC GROWTH FUND
Offers access to the emerging and established markets of the Pacific Rim,
excluding Japan
 
GT GLOBAL EUROPE GROWTH FUND
Focuses on investment opportunities in the new, unified Europe
 
GT GLOBAL LATIN AMERICA GROWTH FUND
Invests in the emerging markets of Latin America
 
/ / SINGLE COUNTRY FUNDS
 
GT GLOBAL AMERICA SMALL CAP GROWTH FUND
Invests in equity securities of small U.S. companies
 
GT GLOBAL AMERICA GROWTH FUND
Concentrates on small and medium-sized companies in the U.S.
 
GT GLOBAL AMERICA VALUE FUND
Concentrates on equity securities of large cap U.S. companies believed to be
undervalued
 
GT GLOBAL JAPAN GROWTH FUND
Provides U.S. investors with direct access to the Japanese market
 
GROWTH AND INCOME FUND
 
GT GLOBAL GROWTH & INCOME FUND
Invests in blue-chip stocks and government bonds from around the world
 
INCOME FUNDS
 
GT GLOBAL GOVERNMENT INCOME FUND
Earns monthly income from global government securities
 
GT GLOBAL STRATEGIC INCOME FUND
Allocates its assets among debt securities from the U.S., developed foreign
countries and emerging markets
 
GT GLOBAL HIGH INCOME FUND
Invests in debt securities in emerging markets
 
MONEY MARKET FUND
 
GT GLOBAL 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 CHANCELLOR LGT ASSET
  MANAGEMENT, INC., G.T. INVESTMENT FUNDS, INC., GT GLOBAL GOVERNMENT INCOME
  FUND, GT GLOBAL STRATEGIC INCOME FUND, GT GLOBAL HIGH INCOME FUND, GLOBAL
  HIGH INCOME PORTFOLIO, OR GT GLOBAL, 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.
 
                                                                   INCPV610003MC
<PAGE>
                            GT GLOBAL INCOME FUNDS:
                                 ADVISOR CLASS
 
                        50 California Street, 27th Floor
                        San Francisco, California 94111
                                 (415) 392-6181
                           Toll Free: (800) 824-1580
                      Statement of Additional Information
                 February 29, 1996, As Revised October 31, 1996
 
- --------------------------------------------------------------------------------
 
This  Statement of Additional Information relates to the Advisor Class shares of
the GT  Global Government  Income  Fund ("Government  Income Fund"),  GT  Global
Strategic  Income Fund ("Strategic Income Fund")  and GT Global High Income Fund
("High Income Fund") (individually, a "Fund," collectively, "Funds"). Each  Fund
is  a  mutual  fund  organized  as a  separate  non-diversified  series  of G.T.
Investment Funds, Inc. ("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 February 29, 1996, as revised October 31, 1996, 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.
 
Chancellor LGT Asset Management, Inc.  (the "Manager") serves as the  investment
manager  and administrator for the Government  Income Fund, the Strategic Income
Fund and the Global High Income  Portfolio ("Portfolio") and also serves as  the
administrator  of the High  Income Fund. The  distributor of the  shares of each
Fund is GT Global, Inc.  ("GT Global"). The Funds'  transfer agent is GT  Global
Investor Services, Inc. ("GT Services" or "Transfer Agent").
 
- --------------------------------------------------------------------------------
 
                               TABLE OF CONTENTS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                                                           Page No.
                                                                                                                           --------
<S>                                                                                                                        <C>
Investment Objectives and Policies.......................................................................................      2
Options, Futures and Currency Strategies.................................................................................      6
Risk Factors.............................................................................................................     15
Investment Limitations...................................................................................................     18
Execution of Portfolio Transactions......................................................................................     23
Directors, Trustees and Executive Officers...............................................................................     25
Management...............................................................................................................     27
Valuation of Fund Shares.................................................................................................     29
Information Relating to Sales and Redemptions............................................................................     30
Taxes....................................................................................................................     31
Additional Information...................................................................................................     34
Investment Results.......................................................................................................     35
Description of Debt Ratings..............................................................................................     42
Financial Statements.....................................................................................................     45
</TABLE>
 
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                   Statement of Additional Information Page 1
<PAGE>
                             GT 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,  like the  High Income  Fund,  is a  non-diversified open-end
management investment company with investment  objectives identical to those  of
the  High Income 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 that will be 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 described below with respect to the Portfolio.
 
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 determining  what countries  constitute emerging  markets, the  Manager  will
consider,  among other things,  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
Chancellor LGT Asset Management, Inc. (the "Manager") is the investment  manager
of  the Government Income Fund, the Strategic  Income Fund and the Portfolio. 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  Manager  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 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 Strategic Income Fund and the Portfolio may also invest in the
securities of closed-end investment
 
                   Statement of Additional Information Page 2
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 Manager, the potential benefits of such investments justify  the
payment of any applicable premiums. The yield of such securities will be reduced
by  operating expenses  of such companies  including payments  to the investment
managers of those investment companies.
 
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. As a condition of its continuing registration in
a state, the Government Income Fund, the Strategic Income Fund and the Portfolio
each  has undertaken that its  investments in warrants or  rights, valued at the
lower of cost or market, will not exceed  5% of the value of its net assets  and
not  more than 2% of  such assets will be invested  in warrants and rights which
are not listed on the American or New York Stock Exchange ("NYSE"). Warrants  or
rights  acquired by the Government Income Fund, the Strategic Income Fund or the
Portfolio in units or attached to securities will be deemed to be without  value
for  purpose of this  restriction. These limits are  not fundamental policies of
the Government Income Fund, the Strategic  Income Fund or the Portfolio and  may
be  changed by a vote of  a majority of the Company's  Board of Directors or the
Portfolio's Board of Trustees without shareholder approval.
 
LENDING OF PORTFOLIO SECURITIES
For the purpose of realizing additional income, 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 collateral received will consist of cash, U.S. short-term government
securities, bank letters of credit or such other collateral as may be  permitted
under  the Strategic Income Fund's or  the Portfolio's investment program and by
regulatory agencies and approved by the Company's Board of Directors. While  the
securities loan is outstanding, 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  Strategic Income  Fund  and the
Portfolio each will have a right to call each loan and obtain the securities  on
five  business days'  notice. 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. The risks  in lending portfolio  securities, as with  other extensions  of
secured  credit, consist of possible delay in receiving additional collateral or
in recovery  of the  securities or  possible loss  of rights  in the  collateral
should the borrower fail financially. Loans will be made only to firms deemed by
the  Manager to be of good standing and will not be made unless, in the judgment
of the Manager, 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
 
                   Statement of Additional Information Page 3
<PAGE>
                             GT GLOBAL INCOME FUNDS
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
The Government Income  Fund, the  Strategic Income  Fund and  the Portfolio  may
enter  into  repurchase agreements.  Repurchase  agreements are  transactions 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  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 Manager to present
minimal credit risks  in accordance  with guidelines approved  by the  Company's
Board of Directors. The term "Company's Board of Directors" as used herein shall
refer  to the Board of Directors of the Company and the Board of Trustees of the
Portfolio, as applicable. The Manager 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. In  the event that  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
 
                   Statement of Additional Information Page 4
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 maintain, in  a segregated account with  a custodian, cash, U.S.
government securities  or other  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.
 
SHORT SALES
The  Government Income  Fund, the  Strategic Income  Fund and  the Portfolio are
authorized to 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 Manager 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, or when the  Manager wants to sell the  security the Fund or  the
Portfolio  owns  at  a  current  attractive  price,  but  also  wishes  to defer
recognition of gain or loss for federal income tax purposes and for purposes  of
satisfying  certain tests applicable to regulated investment companies under the
Internal Revenue Code of 1986, as amended (the "Code"). 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>
                             GT 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
    Manager'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 Manager 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 Manager  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 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  Manager 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>
                             GT 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  Manager  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  Manager  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>
                             GT 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. For example, a put  option may be purchased in order
to protect unrealized appreciation  of a security or  currency when the  Manager
deems  it desirable to continue to hold  the security or currency because of tax
considerations. 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 in order to
protect unrealized gains on call options previously written by it. A call option
could be purchased for this purpose where tax considerations make it inadvisable
to realize such gains through a closing purchase transaction. Call options  also
may  be purchased  at times  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
 
                   Statement of Additional Information Page 8
<PAGE>
                             GT GLOBAL INCOME FUNDS
underlying security or currency having a current market value below the price at
which such security or currency was purchased  by the Fund or the Portfolio,  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
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 over-the-counter ("OTC
options"). 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
 
                   Statement of Additional Information Page 9
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                             GT GLOBAL INCOME FUNDS
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  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 has purchased 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.
 
                  Statement of Additional Information Page 10
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
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 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; 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
 
                  Statement of Additional Information Page 11
<PAGE>
                             GT GLOBAL INCOME FUNDS
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.
 
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 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
 
                  Statement of Additional Information Page 12
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 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 CURRENCY 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, if its contra party agrees, entering into a second contract 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>
                             GT 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 the 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 Manager 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  that a  Fund or  the Portfolio  has purchased)  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, U.S. government securities or other
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,  U.S. government securities or  other liquid high grade  debt
obligations  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
 
                  Statement of Additional Information Page 14
<PAGE>
                             GT GLOBAL INCOME FUNDS
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  Manager, the  Strategic
Income  Fund  and 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 Manager.  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
 
- --------------------------------------------------------------------------------
 
    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.
 
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 and corresponding currency devaluations have had
and may  continue to  have  negative effects  on  the economies  and  securities
markets of certain Latin American countries.
 
    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 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.
 
An investment in the Strategic Income Fund  and the Portfolio is subject to  the
political  and economic risks  associated with investments  in emerging markets.
Even though  opportunities for  investment may  exist in  emerging markets,  any
change in the leadership or policies of the governments of those countries or in
the leadership or policies of any other government which exercises a significant
influence  over  those  countries, may  halt  the  expansion of  or  reverse the
liberalization  of  foreign  investment  policies  now  occurring  and   thereby
eliminate any investment opportunities which may currently exist.
 
Investors should note that upon the accession to power of authoritarian regimes,
the governments of a number of emerging market countries previously expropriated
large  quantities of  real and personal  property similar to  the property which
will be represented by the securities  purchased by the Fund and the  Portfolio.
The  claims  of property  owners against  those  governments were  never finally
settled. There can be no assurance  that any property represented by  securities
purchased  by  the  Fund  or  the  Portfolio  will  not  also  be  expropriated,
nationalized, or otherwise confiscated. If such confiscation were to occur,  the
Fund  or the Portfolio  could lose a  substantial portion of  its investments in
such countries. The Fund's  and the Portfolio's  investments would similarly  be
adversely affected by exchange control regulation in any of those countries.
 
                  Statement of Additional Information Page 15
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
    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  the  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.
 
    ILLIQUID SECURITIES. The Government Income Fund may invest up to 10% of  its
total  assets in securities the disposition of  which may be subject to legal or
contractual restrictions or the markets for which may be illiquid. The Strategic
Income Fund and  the Portfolio  each may  invest up to  15% of  total assets  in
illiquid  securities. Securities  may be  considered illiquid  if a  Fund or the
Portfolio cannot reasonably expect  within seven days to  sell the security  for
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, a Theme 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 the Theme Portfolio may be permitted
to sell a security under an effective registration statement. If, during such  a
period,  adverse market  conditions were to  develop, the  Theme 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 purchsaing Rule 144A-eligible restricted securities held by
a  Theme Portfolio,  however, could affect  adversely the  marketability of such
portfolio securities and the Theme Portfolio might be unable to dispose of  such
securities promptly or at favorable prices.
 
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  Manager  in  accordance  with  procedures
approved  by the Company's Board of Directors.  The Manager takes into account a
number of factors in  reaching liquidity decisions,  including, but not  limited
to:  (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 Manager  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.
 
                  Statement of Additional Information Page 16
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
    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 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 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
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  Manager  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 the Fund's and the Portfolio's net asset  value
and  any  net investment  income and  capital  gains to  be distributed  in U.S.
dollars to shareholders of the Fund and the Portfolio. Moreover, if the value of
the foreign currencies in which a Fund receives its income declines relative  to
the  U.S.  dollar between  the  receipt of  the income  and  the making  of Fund
distributions, the Fund may be required to liquidate securities in order to make
distributions if  the  Fund  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,  the  Funds and  the Portfolio  do  not intend  to convert  holdings of
foreign currencies into U.S. dollars on a daily basis. The Funds 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
 
                  Statement of Additional Information Page 17
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 Manager will consider such difficulties
when  determining  the  allocation of  each  Fund's or  the  Portfolio's assets,
although the  Manager  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 net investment income
or delaying  the receipt  of income  where those  taxes may  be recaptured.  See
"Taxes."
 
    SPECIAL  CONSIDERATIONS AFFECTING EUROPE. 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  Manager
believes that this deregulation should improve the prospects for economic growth
in  many 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 at this  time
what the exact form or effect of these Common Market reforms will be on business
in  Western Europe or the emerging European markets, it is impossible to predict
the long-term impact of  the implementation of these  program on the  securities
owned by the Funds or the Portfolio.
 
    SPECIAL  CONSIDERATIONS AFFECTING JAPAN AND  HONG KONG. The concentration of
investments by a  Fund or  the Portfolio  in Japan means  that the  Fund or  the
Portfolio  may  be  more  volatile  than  a  fund  that  is  broadly diversified
geographically. Overseas trade is  important to Japan's  economy. Japan has  few
natural  resources  and  must export  to  pay  for its  imports  of  these basic
requirements. Because of the concentration of Japanese exports in highly visible
products,  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 or other protectionist measures could impact Japan
adversely  in both the short and the  long term. 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.
 
Hong Kong is  a British colony  which will transfer  sovereignty to the  Peoples
Republic  of China  in 1997.  China has  espoused policies  antagonistic to free
enterprise capitalism and  democracy. There  can be no  guarantee that  property
rights  will  continue  to be  safeguarded  in  Hong Kong  after  1997, although
recently China  has moved  toward  free enterprise,  and has  established  stock
exchanges of its own.
 
- --------------------------------------------------------------------------------
 
                             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
 
                  Statement of Additional Information Page 18
<PAGE>
                             GT GLOBAL INCOME FUNDS
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) Invest  25%  or  more of  the  value  of its  total  assets  in  the
    securities  of issuers conducting their principal business activities in the
    same industry, except  that this  limitation shall not  apply to  securities
    issued  or guaranteed as to principal and interest by the U.S. Government or
    any of its agencies or instrumentalities;
 
        (2) Invest  in  companies  for  the purpose  of  exercising  control  or
    management;
 
        (3) Buy or sell real estate (including real estate limited partnerships)
    or  commodities or commodity contracts; however, the Fund may invest in debt
    securities secured  by  real  estate  or  interests  therein  or  issued  by
    companies  which invest in real estate  or interests therein, including real
    estate investment  trusts ("REITs"),  and may  purchase or  sell  currencies
    (including  forward  currency  exchange  contracts),  futures  contracts and
    related options generally as  described in the  Prospectus and Statement  of
    Additional Information and subject to (14) below;
 
        (4)  Acquire  securities  subject  to  restrictions  on  disposition  of
    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 over-the-counter options or hold assets set aside to cover
    over-the-counter options written by a Fund,  if, immediately after and as  a
    result,  the value of such securities would exceed, in the aggregate, 10% of
    the Fund's total assets;
 
        (5) Engage in the business of underwriting securities of other  issuers,
    except  to  the  extent that  the  disposal  of an  investment  position may
    technically cause it to be considered an underwriter as that term is defined
    under the Securities Act of 1933;
 
        (6) Make loans, except  that the Fund may  purchase debt securities  and
    enter into repurchase agreements and make loans of portfolio securities;
 
        (7)   Sell  securities  short,  except  to  the  extent  that  the  Fund
    contemporaneously owns or  has the right  to acquire at  no additional  cost
    securities identical to those sold short;
 
        (8)  Purchase securities  on margin, provided  that the  Fund may obtain
    such short-term credits as may be  necessary for the clearance of  purchases
    and  sales  of  securities;  except  that it  may  make  margin  deposits in
    connection with futures contracts subject to (14) below;
 
        (9) Borrow money, except from banks for temporary or emergency  purposes
    not  in excess of 30% of the value of the Fund's total assets. The Fund will
    not  purchase  securities  while  such  borrowings  are  outstanding.   This
    restriction shall not prevent the Fund from entering into reverse repurchase
    agreements  and  engaging  in  "roll"  transactions,  provided  that reverse
    repurchase  agreements,  "roll"  transactions  and  any  other  transactions
    constituting  borrowing by the  Fund may not exceed  one-third of the Fund's
    total assets. In the event that the asset coverage for the Fund's borrowings
    falls below 300%, the Fund will reduce, within three days (excluding Sundays
    and holidays), the amount of its borrowings in order to provide for the 300%
    asset coverage;
 
       (10) Mortgage, pledge, or  hypothecate any of  its assets, provided  that
    this restriction shall not apply to the transfer of securities in connection
    with any permissible borrowing;
 
       (11)  Invest in  interests in oil,  gas, or other  mineral exploration or
    development programs;
 
       (12) Invest more than 5% of  its total assets in securities of  companies
    having,  together with their predecessors, a record of less than three years
    of continuous operation;
 
       (13) Purchase or retain the securities of any issuer, if those individual
    officers and Directors  of the  Company, the Fund's  investment adviser,  or
    distributor,  each owning beneficially more than 1/2 of 1% of the securities
    of such issuer, together own more than 5% of the securities of such  issuer;
    or
 
       (14) 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.
 
For purposes  of the  Fund's concentration  policy contained  in limitation  (1)
above,  the Fund and the Portfolio intend to comply with the SEC staff positions
that securities issued or guaranteed as to principal and interest by any  single
foreign
 
                  Statement of Additional Information Page 19
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 a majority of the  Company's
Board  of Directors without  shareholder approval. The Fund  may not: (i) borrow
money to purchase securities; and (ii) 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.
 
                             STRATEGIC INCOME FUND
 
The Strategic Income Fund may not:
 
        (1) Invest  25%  or  more of  the  value  of its  total  assets  in  the
    securities  of issuers conducting their principal business activities in the
    same industry,  (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) except that this limitation  shall not apply to securities issued
    or guaranteed as to principal and interest by the U.S. Government or any  of
    its agencies or instrumentalities;
 
        (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, policies  and limitations  as
    the Fund);
 
        (3) Buy or sell real estate (including real estate limited partnerships)
    or  commodities or commodity contracts; however, the Fund may invest in debt
    securities secured  by  real  estate  or  interests  therein  or  issued  by
    companies  which invest in real estate  or interests therein, including real
    estate investment  trusts  (REITs),  and may  purchase  or  sell  currencies
    (including  forward  currency  exchange  contracts),  futures  contracts and
    related options generally as  described in the  Prospectus and Statement  of
    Additional Information and subject to (13) below;
 
        (4)  Engage in the business of underwriting securities of other issuers,
    except to  the  extent that  the  disposal  of an  investment  position  may
    technically cause it to be considered an underwriter as that term is defined
    under the Securities Act of 1933;
 
        (5)   Make  loans,  except  that  the  Fund  may  invest  in  loans  and
    participations,  purchase  debt   securities  and   enter  into   repurchase
    agreements and make loans of portfolio securities;
 
        (6)   Sell  securities  short,  except  to  the  extent  that  the  Fund
    contemporaneously owns or  has the right  to acquire at  no additional  cost
    securities identical to those sold short;
 
        (7)  Purchase securities  on margin, provided  that the  Fund may obtain
    such short-term credits as may be  necessary for the clearance of  purchases
    and  sales  of  securities;  except  that it  may  make  margin  deposits in
    connection with futures contracts subject to (13) below;
 
        (8) Borrow  money  in excess  of  33 1/3%  of  the Fund's  total  assets
    (including  the  amount  borrowed), less  all  liabilities  and indebtedness
    (other than borrowing).  This restriction  shall not prevent  the Fund  from
    entering   into  reverse  repurchase  agreements   and  engaging  in  "roll"
    transactions,  provided   that   reverse   repurchase   agreements,   "roll"
    transactions  and any other transactions  constituting borrowing by the Fund
    may not exceed one-third of the Fund's  total assets. In the event that  the
    asset  coverage for  the Fund's borrowings  falls below 300%,  the Fund will
    reduce, within three days  (excluding Sundays and  holidays), the amount  of
    its  borrowings in  order to provide  for 300%  asset coverage. Transactions
    involving options,  futures  contracts,  options on  futures  contracts  and
    forward  currency  contracts, and  collateral arrangements  relating thereto
    will not be deemed to be borrowings;
 
        (9) Mortgage, pledge, or  hypothecate any of  its assets, provided  that
    this restriction shall not apply to the transfer of securities in connection
    with any permissible borrowing;
 
       (10)  Invest in  interests in oil,  gas, or other  mineral exploration or
    development programs;
 
       (11) Invest more than 5% of  its total assets in securities of  companies
    having,  together with their predecessors, a record of less than three years
    of continuous operation (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);
 
                  Statement of Additional Information Page 20
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
       (12) Purchase or retain the securities of any issuer, if those individual
    officers  and Directors  of the Company,  the Fund's  investment adviser, or
    distributor, each owning beneficially more than 1/2 of 1% of the  securities
    of  such issuer, together own more than 5% of the securities of such issuer;
    or
 
       (13) 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.
 
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 are  not  fundamental policies  and  may  be
changed  by  vote of  a majority  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 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.); and
 
        (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).
 
               HIGH INCOME FUND AND GLOBAL HIGH INCOME PORTFOLIO
 
The High Income Fund and the Global High Income Portfolio each may not:
 
        (1) Invest  25%  or  more of  the  value  of its  total  assets  in  the
    securities  of issuers conducting their principal business activities in the
    same industry,  (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) except that  this
    limitation  shall  not  apply  to  securities  issued  or  guaranteed  as to
    principal and interest  by the  U.S. Government or  any of  its agencies  or
    instrumentalities;
 
        (2)  Purchase  or  sell  real  estate,  including  real  estate  limited
    partnerships, provided  that  the  Fund  and the  Portfolio  may  invest  in
    securities  secured  by  real  estate  or  interests  therein  or  issued by
    companies that invest in real estate or interests therein;
 
        (3) Purchase or sell commodities or commodity contracts, except that the
    Fund and the Portfolio may purchase and sell financial and currency  futures
    contracts  and options thereon,  and may purchase  and sell currency forward
    contracts, options  on  foreign  currencies  and  may  otherwise  engage  in
    transactions in foreign currencies;
 
        (4)  Underwrite securities of other issuers,  except to the extent that,
    in connection with the disposition of portfolio securities, the Fund and the
    Portfolio may be  deemed an  underwriter under federal  or state  securities
    laws;
 
        (5)  Make loans, except  that the Fund  and the Portfolio  may invest in
    loans and participations, purchase debt securities and enter into repurchase
    agreements and make loans of portfolio securities;
 
        (6) Purchase  securities  on margin,  provided  that the  Fund  and  the
    Portfolio  may obtain  such short-term credits  as may be  necessary for the
    clearance of purchases  and sales  of securities;  except that  it may  make
    margin  deposits in connection  with the use  of options, futures contracts,
    options thereon or forward  currency contracts. The  Fund and the  Portfolio
    may make deposits of margin in connection with futures and forward contracts
    and options thereon;
 
        (7)  Borrow money in excess of 33  1/3% of the Fund's or the Portfolio's
    total assets  (including  the amount  borrowed),  less all  liabilities  and
    indebtedness  (other than borrowing). This restriction shall not prevent the
    Fund or the Portfolio from  entering into reverse repurchase agreements  and
    engaging   in   "roll"  transactions,   provided  that   reverse  repurchase
    agreements, "roll"  transactions  and any  other  transactions  constituting
    borrowing  by the  Fund or  the Portfolio  may not  exceed one-third  of the
    Fund's or the  Portfolio's respective total  assets. In the  event that  the
    asset  coverage for  the Fund's  or the  Portfolio's borrowings  falls below
    300%, the Fund or  the Portfolio will reduce,  within three days  (excluding
    Sundays  and holidays), the amount of its borrowings in order to provide for
    300% asset
 
                  Statement of Additional Information Page 21
<PAGE>
                             GT GLOBAL INCOME FUNDS
    coverage. Transactions  involving  options, futures  contracts,  options  on
    futures   contracts   and   forward  currency   contracts,   and  collateral
    arrangements relating thereto will not be deemed to be borrowings;
 
        (8) Mortgage, pledge, or  in any other manner  transfer as security  for
    any  indebtedness any of its assets,  except to secure permitted borrowings.
    Collateral arrangements  with respect  to initial  or variation  margin  for
    futures  contracts will not  be deemed to be  a pledge of  the Fund's or the
    Portfolio's assets;
 
        (9) Invest in direct interests or  leases in oil, gas, or other  mineral
    exploration  or development programs, however, the Fund or the Portfolio may
    invest in securities of companies that engage in these activities; or
 
       (10) With respect to 50% of its total assets, invest more than 5% of  its
    assets  in the securities of any one issuer or purchase more than 10% of the
    outstanding voting 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).
 
For purposes of the Fund's and the Portfolio's concentration policy contained in
limitation (1) above, the Fund and the  Portfolio 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 Fund  and  the  Portfolio  are not
fundamental policies and may be changed by  vote of a majority of the  Company's
Board  of Directors  or the  Portfolio's Board  of Trustees  without shareholder
approval. The Fund and the Portfolio may not:
 
        (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) Purchase or retain the securities  of any issuer, if, to the  Fund's
    or  the Portfolio's knowledge, one  or more of the  officers or Directors of
    the  Company,  the  Fund's  or   the  Portfolio's  investment  adviser,   or
    distributor,  each own beneficially more than 1/2 of 1% of the securities of
    such issuer and together own beneficially more than 5% of the securities  of
    such issuer;
 
        (4)  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;
 
        (5) Invest more than 5% of  its total assets in securities of  companies
    having,  together with their predecessors, a record of less than three years
    of continuous operation (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); or
 
        (6) 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).
 
The High Income  Portfolio will  comply with all  state securities  laws in  any
states  in which the  shares of the High  Income Fund or  any other investor, if
any, in the  Portfolio are registered  for sale. 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 the  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 22
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                      EXECUTION OF PORTFOLIO TRANSACTIONS
 
- --------------------------------------------------------------------------------
 
Subject to policies established by the Company's Board of Directors, the Manager
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 portfolio transactions,  the Manager 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  Manager
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 Manager 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 Manager
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  Manager under  the  Management Contract  (defined  below). 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
Manager determines in  good faith that  such commission is  reasonable in  terms
either  of  that particular  transaction or  the  overall responsibility  of the
Manager 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 over-the-counter markets.
 
The Manager  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 Manager 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 Manager  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 Manager may consider a broker/dealer's sale  of the shares of the Funds  and
the  other funds for which the Manager 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 23
<PAGE>
                             GT 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
over-the-counter  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 over-the-counter 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 members  of  the Liechtenstein  Global  Trust.  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, 1995,  1994 and 1993, the  Portfolio paid aggregate  brokerage
commissions  of $0, $24,000 and $2,000, respectively. For the fiscal years ended
October 31,  1995, 1994  and 1993,  the Government  Income Fund  paid  aggregate
brokerage commissions of $0, $92,397, and $353,696, respectively. For the fiscal
years  ended October  31, 1995,  1994 and 1993,  the Strategic  Income Fund paid
aggregate brokerage commissions of $0, $134,876 and $6,511, respectively.
 
PORTFOLIO TRADING AND TURNOVER
Each Fund  and the  Portfolio  engages in  portfolio  trading when  the  Manager
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 Manager believes it is appropriate to do so, without regard to the length of
time  a  particular  security  may have  been  held.  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         YEAR ENDED
                                                                    OCTOBER 31, 1995   OCTOBER 31, 1994
                                                                    -----------------  -----------------
<S>                                                                 <C>                <C>                <C>
Government Income Fund............................................           385%               625%
Strategic Income Fund.............................................           238%               583%
High Income Portfolio.............................................           213%               178%
</TABLE>
 
                  Statement of Additional Information Page 24
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                            DIRECTORS, TRUSTEES AND
                               EXECUTIVE OFFICERS
 
- --------------------------------------------------------------------------------
 
The  term "Directors" as  used below refers  to the Company's  Directors and the
Portfolio's  Trustees  collectively.  The  Company's  Directors  and   executive
officers and the Portfolio's Trustees and executive officers are listed below.
 
<TABLE>
<CAPTION>
NAMES, POSITION(S) WITH THE              PRINCIPAL OCCUPATIONS AND BUSINESS
COMPANY/PORTFOLIO AND ADDRESS            EXPERIENCE FOR PAST 5 YEARS
- ---------------------------------------  ------------------------------------------------------------------------------------------
<S>                                      <C>
David A. Minella*, 43                    Chairman, the Manager since October 1996; Director, Liechtenstein Global Trust (holding
Director, Chairman of the Board and      company of the various international LGT companies) since 1990; President, Asset
President                                Management Division, Liechtenstein Global Trust since 1995; Director and President, LGT
50 California, Street                    Asset Management Holdings, Inc. ("LGT Asset Management Holdings") since 1988; Director and
San Francisco CA 94111                   President, the Manager since 1989; Director, GT Global since 1987 and President, GT Global
                                         from 1987 to 1995; Director, GT Services since 1990; President, GT Services from 1990 to
                                         1995; Director, G.T. Global Insurance Agency, Inc. ("G.T. Insurance") since 1992; and
                                         President, G.T. Insurance from 1992 to 1995. Mr. Minella also is a director or trustee of
                                         each of the other investment companies registered under the 1940 Act that is managed or
                                         administered by the Manager.
 
C. Derek Anderson, 54                    Chief Executive Officer, Anderson Capital Management, Inc.; Chairman and Chief Executive
Director                                 Officer, Plantagenet Holdings, Ltd. from 1991 to present; Director, Munsingwear, Inc.; and
220 Sansome Street                       Director, American Heritage Group Inc. and various other companies. Mr. Anderson also is a
Suite 400                                director or trustee of each of the other investment companies registered under the 1940
San Francisco, CA 94104                  Act that is managed or administered by the Manager.
 
Frank S. Bayley, 55                      Partner with Baker & McKenzie (a law firm); Director and Chairman, C.D. Stimson Company (a
Director                                 private investment company); and Trustee, Seattle Art Museum. Mr. Bayley also is a
Two Embarcadero Center                   director or trustee or each of the other investment companies registered under the 1940
Suite 2400                               Act that is managed or administered by the Manager.
San Francisco, CA 94111
 
Arthur C. Patterson, 52                  Managing Partner, Accel Partners (a venture capital firm). He also serves as a director of
Director                                 various computing and software companies. Mr. Patterson also is a director or trustee of
One Embarcadero Center                   each of the other investment companies registered under the 1940 Act that is managed or
Suite 3820                               administered by the Manager.
San Francisco, CA 94111
 
Ruth H. Quigley, 59                      Private investor; and President, Quigley Friedlander & Co., Inc. (a financial advisory
Director                                 services firm) from 1984 to 1986. Ms. Quigley also is a director or trustee or each of the
1055 California Street                   other investment companies registered under the 1940 Act that is managed or administered
San Francisco, CA 94108                  by the Manager.
 
F. Christian Wignall, 39                 Director, LGT Asset Management Holdings since 1989; Senior Vice President, Chief
Vice President and Chief                 Investment Officer -- Global Equities and Director, the Manager since 1987; and Chairman,
Investment Officer --                    Investment Policy Committee of the affiliated international LGT companies since 1990.
Global Equities
50 California Street
San Francisco, CA 94111
</TABLE>
 
- --------------
 
*    Mr. Minella is an "interested person" of the Company as defined by the 1940
    Act due to his affiliation with the LGT companies.
 
                  Statement of Additional Information Page 25
<PAGE>
                             GT 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>
 
James R. Tufts, 37                President, GT Services since 1995; Senior Vice President -- Finance and
Vice President and Chief          Administration, GT Global, GT Services and G.T. Insurance, from 1994 to
Financial Officer                 1995; Senior Vice President -- Finance and Administration, LGT Asset
50 California Street              Management Holdings and the Manager since 1994; Vice President --
San Francisco, CA 94111           Finance, LGT Asset Management Holdings, the Manager, GT Global and GT
                                  Services from 1990 to 1994; Vice President -- Finance, G.T. Insurance
                                  from 1992 to 1994; and a Director of the Manager, GT Global and GT
                                  Services since 1991.
 
Kenneth W. Chancey, 50            Vice President -- Mutual Fund Accounting, the Manager since 1992; and
Vice President and                Vice President, Putnam Fiduciary Trust Company from 1989 to 1992.
Principal Accounting Officer
50 California Street
San Francisco, CA 94111
 
Helge K. Lee, 48                  Senior Vice President, General Counsel and Secretary, LGT Asset
Vice President and Secretary      Management Holdings, the Manager, GT Global, GT Services and G.T.
50 California Street              Insurance since February 1996. Senior Vice President, Secretary and
San Francisco, CA 94111           General Counsel, LGT Asset Management Holdings, the Manager, GT Global,
                                  GT Services and G.T. Insurance from May 1994 to February 1996; Senior
                                  Vice President, General Counsel and Secretary, Strong/Corneliuson
                                  Management, Inc. and Secretary, each of the Strong Funds from October
                                  1991 through May 1994; and shareholder in the law firm of Godfrey &
                                  Kahn, S.C., Milwaukee, Wisconsin for more than five years prior to
                                  October 1991.
</TABLE>
 
The Board 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  and officer of G.T.
Investment Portfolios, Inc., and G.T. Global Developing Markets Fund, Inc. and a
Trustee and officer of G.T. Global Growth Series, G.T. Greater Europe Fund, G.T.
Global Variable Investment Trust, G.T. Global Variable Investment Series, Global
Investment Portfolio and Growth Portfolio, which also are registered  investment
companies managed by the Manager. Each of the individuals listed above serves as
a  Director or officer  of the Company  as well as  a Trustee or  officer of the
Portfolio. Each  Director and  Officer serves  in  total as  a Director  and  or
Trustee and Officer, respectively, of 10 registered investment companies with 40
series  managed or administered by the Manager.  Each Director or Trustee who is
not a director, officer or employee of the Manager or any affiliated company  is
paid  aggregate fees of $5,000 per annum, plus $300 per Fund for each meeting of
the Board  attended,  and  reimburses  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, 1995,  Mr. Anderson, Mr. Bayley,  Mr. Patterson and Mr.
Quigley, received total compensation  of $36,705.30, $34,230.22, $36,755.58  and
$33,706.85,  respectively, from the Company's series Funds for their services as
Directors. For the fiscal year ended October 31, 1995, Mr. Anderson, Mr. Bayley,
Mr. Patterson  and  Ms.  Quigley  received  total  compensation  of  $92,176.78,
$87,868.64,  $92,260.90  and $86,957.55,  respectively,  from the  40  GT Global
Mutual Funds 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 February 22,  1996, 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 Funds  in
the aggregate.
 
                  Statement of Additional Information Page 26
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                   MANAGEMENT
 
- --------------------------------------------------------------------------------
 
INVESTMENT MANAGEMENT AND ADMINISTRATION SERVICES
Chancellor  LGT Asset Management, Inc. (the  "Manager") 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  the  Manager  ("Company  Management  Contract")  and  as  the
Portfolio's investment manager and administrator under an Investment  Management
and  Administration Contract between  the Portfolio and  the Manager ("Portfolio
Management Contract") (collectively, "Management Contracts"). The Manager serves
as the  High  Income  Fund's  administrator  under  an  Administration  Contract
("Administration   Contract")  between   the  Company   and  the   Manager.  The
Administration Contract  will not  be deemed  an advisory  contract, as  defined
under  the 1940 Act. As investment  manager and administrator, the Manager makes
all investment decisions for  the Government Income  Fund, the Strategic  Income
Fund and the Portfolio and as administrator, the Manager administers each Fund's
and  the  Portfolio's affairs.  Among other  things,  the Manager  furnishes the
services and pays 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 provides  suitable  office  space,
necessary  small  office  equipment  and  utilities.  For  these  services,  the
Government Income  Fund and  the  Strategic Income  Fund  each pay  the  Manager
investment management and administration fees, based on the Funds' average daily
net  assets computed daily and paid monthly,  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.   The  High   Income  Fund  pays
administration fees, computed  daily and  paid monthly,  to the  Manager at  the
annualized  rate of 0.25% of  the Fund's average daily  net assets. In addition,
the  Fund  bears  a   pro  rata  portion  of   the  investment  management   and
administration fee paid by the Portfolio to the Manager. The Portfolio pays such
fees also computed daily and paid monthly 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 of its  average daily net assets, 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.
 
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 or Trustees who are not  parties to the Management Contract or  the
Administration Contract, 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 the Manager may terminate
the Contract without penalty upon sixty days' written notice to the other party.
The Management Contract and the Administration Contract terminate  automatically
in the event of their assignment (as defined in the 1940 Act).
 
Under  the Management Contracts, the Manager  has agreed to waive its investment
management and administration fees from a Fund and to reimburse such Fund to the
extent necessary  to  assure  that  the Fund's  annual  expenses  (exclusive  of
brokerage commissions, organizational expenses, taxes, interest,
distribution-related   expenses,  certain  expenses  attributable  to  investing
outside the U.S. and  extraordinary expenses) do not  exceed the most  stringent
expense  limitations  prescribed by  any state  in which  the Fund's  shares are
offered for sale.  As applied to  the High  Income Fund and  the Portfolio,  the
Manager  has agreed to  reduce the investment  management and administration fee
payable by the Portfolio by the amount by which the ordinary operating  expenses
(exclusive  of  organization  expenses,  interest,  taxes,  distribution-related
expenses and extraordinary expenses) of the Portfolio for any fiscal year  borne
by  the High Income  Fund, together with the  direct ordinary operating expenses
(exclusive of  brokerage  commission, organization  expenses,  taxes,  interest,
distribution-related  expenses and  extraordinary expenses)  of the  High Income
Fund, exceeds the most stringent expense limitations prescribed by any state  in
which  the shares of the  High Income Fund are  offered for sale. Currently, the
most restrictive applicable limitation provides  that a Fund's expenses may  not
exceed an annual rate of 2 1/2% of the first
 
                  Statement of Additional Information Page 27
<PAGE>
                             GT GLOBAL INCOME FUNDS
$30  million of average  net assets, 2% of  the next $70  million of average net
assets and 1 1/2% of assets in  excess of that amount. In addition, the  Manager
and  GT Global voluntarily have 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 Fund's
Advisor Class during each fiscal year. The expenses of the Advisor Class  shares
of  the High Income  Fund (and such  Fund's pro rata  portion of the Portfolio's
expenses) would be limited to the annual level of 1.85% of the average daily net
assets of that Fund's Advisor Class share. The Manager has agreed to reimburse a
Fund if the Fund's annual ordinary expenses exceed those respective levels.
 
In each  of  the  last  three  fiscal years  the  Government  Income  Fund  paid
investment  management and administration  fees to the  Manager in the following
amounts:
 
<TABLE>
<CAPTION>
                                          YEAR ENDED OCTOBER 31,                                              AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1995.......................................................................................................   $ 4,946,971
1994.......................................................................................................     6,390,750
1993.......................................................................................................     5,222,537
</TABLE>
 
In each of the last three fiscal years the Strategic Income Fund paid investment
management and administration fees to the Manager in the following amounts:
 
<TABLE>
<CAPTION>
                                          YEAR ENDED OCTOBER 31,                                              AMOUNT PAID
- -----------------------------------------------------------------------------------------------------------  -------------
<S>                                                                                                          <C>
1995.......................................................................................................   $ 4,293,053
1994.......................................................................................................     5,392,542
1993.......................................................................................................     1,568,540
</TABLE>
 
For the fiscal years ended October 31,  1995, 1994 and 1993, the Portfolio  paid
investment  management  and administrative  fees  of $2,411,786,  $2,266,420 and
$547,543, respectively, to the Manager. For these same periods, the High  Income
Fund  paid administration fees of $860,884, $886,795 and $212,294, respectively,
to the Manager.
 
DISTRIBUTION SERVICES
Each Fund's Advisor Class  shares are offered  continuously through each  Fund's
principal  underwriter  and distributor,  GT Global  on  a "best  efforts" basis
without a sales charge or a contingent deferred sales charge.
 
TRANSFER AGENCY AND ACCOUNTING AGENT SERVICES
GT Global Investor Services, Inc. ("Transfer  Agent") has been retained by  each
Fund,  to perform  shareholder servicing,  reporting and  general transfer agent
functions for each  Fund. 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 Manager serves as  each Fund's pricing and  accounting agent. As of  October
31,  1995, the  Government Income Fund,  Strategic Income Fund,  and High Income
Fund paid the Manager  fees of $40,218, $34,980  and $22,563, respectively,  for
such accounting services.
 
EXPENSES OF THE FUNDS
The  Fund pays  all expenses  not assumed  by the  Manager, GT  Global 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 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 28
<PAGE>
                             GT 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, Presidents'  Day, Good Friday,  Memorial Day, July  4th, 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
Manager 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 Manager 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
NYSE is not  open. Consequently, the  calculation of the  Funds' respective  net
asset values therefore may not take place
 
                  Statement of Additional Information Page 29
<PAGE>
                             GT GLOBAL INCOME FUNDS
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 Manager,
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 purchased should accompany the purchase order,
or funds should be wired to the Transfer Agent as described in the Prospectuses.
Payment, 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 either class of  shares
is  cancelled due to nonpayment (for example, on account of a check returned for
"not sufficient 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, that 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.
 
The Funds  reserve 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,  the Funds reserve the right to reject any offer for a purchase of
shares by any individual.
 
SALES OUTSIDE THE UNITED STATES
Sales of Fund shares made through brokers  outside the United States will be  at
net  asset value plus a sales commission,  if any, established by that broker or
by local law;  such a commission,  if any, may  be more or  less than the  sales
charges listed in the sales charge table included in the Prospectus.
 
EXCHANGES BETWEEN FUNDS
Shares of each Fund may be exchanged for shares of other GT Global Mutual Funds,
based  on  their respective  net asset  values without  imposition of  any sales
charges provided that the registration  remains identical. Advisor Class  shares
of  a Fund  may be exchanged  only for Advisor  Class shares of  other GT Global
Mutual Funds.  The exchange  privilege is  not an  option or  right to  purchase
shares  but is permitted under the current  policies of the respective GT Global
Mutual Funds. The privilege may be discontinued or changed at any time by any of
the funds upon 60  days' prior notice  to the shareholders of  such 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 the investment objective(s) of the fund.
 
TELEPHONE REDEMPTIONS
A corporation or  partnership wishing  to utilize telephone,  telex or  telegram
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 $1,000. Costs in connection
with the administration of this  service, including wire charges, currently  are
borne  by the appropriate Fund.  Proceeds of less than  $1,000 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 30 days written notice.
 
                  Statement of Additional Information Page 30
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
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 would prohibit the Funds from disposing of
their portfolio securities or in fairly  determining 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 value of the  net
assets of the 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.
 
- --------------------------------------------------------------------------------
 
                                     TAXES
 
- --------------------------------------------------------------------------------
 
TAXATION OF THE FUNDS
Each Fund is treated as a separate corporation for federal income tax  purposes.
In  order to continue to qualify for treatment as a regulated investment company
("RIC") under the Internal Revenue Code of 1986, as amended ("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) the Fund must derive less than  30%
of  its gross  income each taxable  year from  the sale or  other disposition of
securities, or any of the following, that  were held for less than three  months
- --  options  or Futures  (other than  those on  foreign currencies),  or foreign
currencies (or  options, Futures  or  Forward Contracts  thereon) that  are  not
directly related to the Fund's principal business of investing in securities (or
options  and Futures with respect to securities) ("Short-Short Limitation"); (3)
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 outstanding voting securities of the issuer; and
(4) 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, 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 all 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 the next section 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.
 
                  Statement of Additional Information Page 31
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
TAXATION OF THE PORTFOLIO -- GENERAL
The Portfolio will be treated as  a partnership for federal income tax  purposes
and will not be a "publicly traded partnership." As a result, the Portfolio will
not  be subject  to federal  income tax;  instead, the  High Income  Fund, as an
investor in the Portfolio, will be 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 will not be subject to
New York 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 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.
 
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 may be
subject to income, withholding, or other taxes imposed by foreign countries  and
U.S.  possessions that would reduce the yield on its securities. Tax conventions
between certain countries and  the United States may  reduce or eliminate  these
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  income taxes  paid by  it
(taking  into account, in  the case of  the High Income  Fund, its proportionate
share of the  Portfolio's taxes  paid). Pursuant to  the election,  a Fund  will
treat  those taxes  as dividends paid  to its shareholders  and each shareholder
will be required to (1) include in gross  income, and treat as paid by him,  his
proportionate  share of those taxes,  (2) treat his share  of those taxes and of
any dividend paid by the Fund that represents income from foreign 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 income (or, in the case of the High Income
Fund, the Portfolio's income)  from sources within, and  taxes paid to,  foreign
countries if it makes this election.
 
    PASSIVE  FOREIGN INVESTMENT COMPANIES. Each Investor  Fund may invest in the
stock of PFICs part (or, in the case of the High Income Fund, its  proportionate
share of a part). A PFIC is a foreign corporation 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  that  income  is  distributed  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) will be  required to include in  income each taxable year its
pro rata share of the QEF's ordinary  earnings and net capital gain (the  excess
of  net long-term capital gain  over net short-term capital  loss) -- which most
likely would have to be distributed to satisfy the Distribution Requirement  and
to  avoid imposition of the  Excise Tax -- even if  those earnings and gain were
not
 
                  Statement of Additional Information Page 32
<PAGE>
                             GT GLOBAL INCOME FUNDS
received by  the Fund.  In most  instances it  will be  very difficult,  if  not
impossible, to make this election because of certain requirements thereof.
 
Pursuant  to  proposed regulations,  open-end  RICs such  as  the Fund  would be
entitled  to  elect   to  "mark-to-market"   their  stock   in  certain   PFICs.
"Marking-to-market," in this context, means recognizing as gain for each taxable
year  the excess, as of the  end of that year, of  the fair market value of each
such  PFIC's  stock   over  the   adjusted  basis  in   that  stock   (including
mark-to-market gain for each prior year for which an election was in effect).
 
    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 character and  timing
of  recognition of the gains and losses  an Investor Fund realizes in connection
therewith. Income from foreign currencies  (except certain gains therefrom  that
may be excluded by future regulations), and income from transactions in 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). However,  income from  the
disposition  by an  Investor Fund  of options and  Futures (other  than those on
foreign currencies)  will be  subject  to the  Short-Short Limitation  for  that
Investor  Fund (or, in the case of the  Portfolio, the High Income Fund) if they
are held for less than three months. Income from the disposition by an  Investor
Fund  of  foreign  currencies, and  options,  Futures and  Forward  Contracts on
foreign currencies, that are not directly  related to its principal business  of
investing  in securities (or options and Futures with respect thereto) also will
be subject to the Short-Short Limitation for that Investor Fund (or, in the case
of the Portfolio, the  High Income Fund)  if they are held  for less than  three
months.
 
If  an Investor Fund satisfies certain requirements,  any increase in value of a
position that is part of a "designated hedge" will be offset by any decrease  in
value  (whether realized or  not) of the offsetting  hedging position during the
period of the hedge for purposes  of determining whether the Investor Fund  (or,
in  the case of the  Portfolio, the High Income  Fund) satisfies the Short-Short
Limitation. Thus, only the net gain (if  any) from the designated hedge will  be
included  in gross  income for purposes  of that limitation.  Each Investor Fund
intends that, when it engages in hedging transactions, it will qualify for  this
treatment,  but at the present time it  is not clear whether this treatment will
be available for all those transactions listed. To the extent this treatment  is
not  available,  an Investor  Fund may  be forced  to defer  the closing  out of
certain options, Futures, Forward Contract or foreign currency positions  beyond
the  time when it  otherwise would be advantageous  to do so,  in order for that
Investor Fund  (or, in  the case  of the  Portfolio, the  High Income  Fund)  to
continue to qualify as a RIC.
 
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  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. 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 and options  on foreign  currencies ("Section 988  gains or  losses").
Under  Section 988,  each foreign  currency 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.
 
TAXATION OF THE FUND'S 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  the  Fund  from  U.S.
corporations.  However,  dividends  received  by  a  corporate  shareholder  and
deducted  by  it  pursuant  to  the  dividends-received  deduction  are  subject
indirectly to the 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
 
                  Statement of Additional Information Page 33
<PAGE>
                             GT GLOBAL INCOME FUNDS
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.
 
Distributions of net investment income 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") will be subject to U.S. withholding tax (at a rate of 30% or lower
treaty rate). Withholding  will not  apply if  a dividend paid  by a  Fund to  a
foreign  shareholder 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.  Distributions of net capital gain
are not subject to withholding, but in the case of a foreign shareholder who  is
a  nonresident alien individual, those  distributions ordinarily will be subject
to U.S. income tax at a rate of 30% (or lower treaty rate) if the individual  is
physically  present  in the  United States  for  more than  182 days  during the
taxable year and the distributions are attributable to a fixed place of business
maintained by the individual in the United States.
 
The foregoing is a general and abbreviated summary of certain federal income 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
 
- --------------------------------------------------------------------------------
 
LIECHTENSTEIN GLOBAL TRUST
Liechtenstein  Global Trust, formerly  BIL GT Group, is  composed of the Manager
and its worldwide affiliates. Other worldwide affiliates of Liechtenstein Global
Trust include  LGT Bank  in Liechtenstein,  formerly Bank  in Liechtenstein,  an
international  financial  services  institution  founded in  1920.  LGT  Bank in
Liechtenstein has principal  offices in Vaduz,  Liechtenstein. Its  subsidiaries
currently include LGT Bank in Liechtenstein (Deutschland) GmbH, formerly Bank in
Liechtenstein  (Frankfurt) GmbH, and LGT Asset Management AG, formerly Bilfinanz
und Verwaltung AG, located in Zurich, Switzerland.
 
Worldwide  asset  management  affiliates   also  currently  include  LGT   Asset
Management  PLC,  formerly G.T.  Management PLC  in  London, England;  LGT Asset
Management Ltd., formerly G.T.  Management (Asia) Ltd. in  Hong Kong; LGT  Asset
Management  Ltd.,  formerly G.T.  Management (Japan)  Ltd.  in Tokyo;  LGT Asset
Management Pte. Ltd., formerly G.T.  Management (Singapore) PTE Ltd. located  in
Singapore; LGT Asset Management Ltd., formerly G.T. Management (Australia) Ltd.,
located  in Sydney; and LGT Asset Management GmbH, formerly BIL Asset Management
GmbH, located in Frankfurt, Germany.
 
CUSTODIAN
State Street  Bank and  Trust  Company ("State  Street"), 225  Franklin  Street,
Boston,   Massachusetts  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 Massachusetts  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 said firm as experts in accounting
and auditing.
 
                  Statement of Additional Information Page 34
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
USE OF NAME
The  Manager has granted the  Funds and the Portfolio the  right to use the "GT"
name and "GT Global" and has reserved  the right to withdraw its consent to  the
use of such names by the Company, the Funds and/or the Portfolio at any time, or
to grant the use of such names to any other company.
 
- --------------------------------------------------------------------------------
 
                               INVESTMENT RESULTS
 
- --------------------------------------------------------------------------------
 
A  Fund's "Standardized Return", as referred  to in the Prospectuses (see "Other
Information --  Performance  Information"  in  the  Prospectus),  is  calculated
separately  for  Advisor Class  shares of  each  Fund, as  follows: Standardized
Return ("T") is computed by using the value at the end of the period ("EV") 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 = EV. The following assumptions will be reflected in computations made  in
accordance   with  this  formula:  (1)   reinvestment  of  dividends  and  other
distributions at net  asset value  on the  reinvestment date  determined by  the
Board; and (2) a complete redemption at the end of any period illustrated.
 
The  Funds'  Standardized  Returns for  their  Advisor Class  shares,  stated as
aggregate total returns, at October 31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                                GOVERNMENT        STRATEGIC       HIGH INCOME
PERIOD                                                                          INCOME FUND      INCOME FUND         FUND
- ----------------------------------------------------------------------------  ---------------  ---------------  ---------------
<S>                                                                           <C>              <C>              <C>
June 1, 1995 (commencement of operations) to October 31, 1995...............           0.83%            3.72%            6.54%
</TABLE>
 
"Non-Standardized Return," as referred to in the Prospectus, is calculated for a
specified period of time by assuming the investment of $1,000 in Fund shares and
further assuming the reinvestment of all dividends and other distributions  made
to  Fund  shareholders  in additional  Fund  shares  at their  net  asset value.
Percentage rates of return are then calculated by comparing this assumed initial
investment to the value of the hypothetical account at the end of the period for
which the Non-Standardized Return is quoted. As discussed in the Prospectus, the
Funds may quote Non-Standardized Total Returns that do not reflect the effect of
sales charges. Non-Standardized Returns may be quoted for the same or  different
time   periods   for  which   Standardized  Returns   are  quoted.   The  Funds'
Non-Standardized Returns for  their Advisor  Class shares,  stated as  aggregate
total returns, at October 31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                                GOVERNMENT        STRATEGIC       HIGH INCOME
PERIOD                                                                          INCOME FUND      INCOME FUND         FUND
- ----------------------------------------------------------------------------  ---------------  ---------------  ---------------
<S>                                                                           <C>              <C>              <C>
June 1, 1995 (commencement of operations) to October 31, 1995...............           0.83%            3.72%            6.54%
</TABLE>
 
Current yield ("YIELD"), which is calculated separately for 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  Securities  and
Exchange Commission:
 
<TABLE>
<S>       <C>  <C>  <C>     <C> <C>
                   a-b
YIELD =   2     [( --  + 1  )   (6)-1]
                   cd
</TABLE>
 
The  current yields of the  Advisor Class shares of  the Government Income Fund,
Strategic Income Fund and the  High Income Fund for  the one month period  ended
October 31, 1995, were 7.46%, 12.58% and 13.99%, respectively.
 
As  of October 22, 1992, the investment objectives and policies of the Strategic
Income Fund  were  changed  to  high  current  income,  primarily,  and  capital
appreciation,  secondarily. Prior to October 22, 1992, the Strategic Income Fund
operated as the GT Global Bond  Fund and had investment objectives which  sought
primarily,  capital appreciation  and moderate current  income, secondarily. The
total returns and yield  for the Strategic Income  Fund were primarily  achieved
under the Strategic Income Fund's prior investment objectives.
 
A  Fund's "Standardized Return", as referred  to in the Prospectuses (see "Other
Information --  Performance  Information"  in  the  Prospectus),  is  calculated
separately for Class A and Class B shares of each Fund, as follows: Standardized
Return ("T") is computed by using the value at the end of the period ("EV") of a
hypothetical initial investment of $1,000 ("P")
 
                  Statement of Additional Information Page 35
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
over  a period of years ("n") according  to the following formula as required by
the SEC: P(1+T)(n)  = EV. The  following assumptions will  be reflected in  with
respect to Class A shares computations made in accordance with this formula: (1)
for  Class A shares, deduction of the maximum sales charge with respect to Class
B shares of 4.75% from  the $1,000 initial investment;  (2) for Class B  shares,
deduction  of  the  applicable contingent  deferred  sales charge  imposed  on a
redemption of Class B shares held for the period; (3) reinvestment of  dividends
and  other distributions at net asset  value on the reinvestment date determined
by the  Board;  and  (4)  a  complete  redemption  at  the  end  of  any  period
illustrated.
 
The  Funds' Standardized  Returns, for their  Class A shares,  stated as average
annual total returns, at October 31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        4.03%         (1.84)%        (2.07)%
October 31, 1990 through October 31, 1995...................................        6.09%          7.59%           N/A
March 29, 1988 through October 31, 1995.....................................        6.68%          7.23%        N/A
October 22, 1992 through October 31, 1995...................................         N/A            N/A           9.50   %
</TABLE>
 
The Funds'  Standardized Returns  for their  Class B  shares, which  were  first
offered  on October 22, 1992, stated as average annual total returns, at October
31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        3.22%         (2.26)%        (2.59)%
October 22, 1992 through October 31, 1995...................................        4.95%          6.28%          9.71%
</TABLE>
 
"Non-Standardized Return," as referred to in the Prospectus, is calculated for a
specified period of time by assuming the investment of $1,000 in Fund shares and
further assuming the reinvestment of all dividends and other distributions  made
to  Fund  shareholders  in additional  Fund  shares  at their  net  asset value.
Percentage rates of return are then calculated by comparing this assumed initial
investment to the value of the hypothetical account at the end of the period for
which the Non-Standardized Return is quoted. As discussed in the Prospectus, the
Funds may quote Non-Standardized Total Returns that do not reflect the effect of
sales charges. Non-Standardized Returns may be quoted for the same or  different
time   periods   for  which   Standardized  Returns   are  quoted.   The  Funds'
Non-Standardized Returns for  their Class  A shares, stated  as aggregate  total
returns, at October 31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        9.22%          3.06%          2.81%
October 31, 1990 through October 31, 1995...................................        7.13%          8.64%           N/A
March 29, 1988 through October 31, 1995.....................................       71.52%         78.41%        N/A
October 22, 1992 through October 31, 1995...................................         N/A            N/A          38.15   %
</TABLE>
 
The  Funds' Non-Standardized  Returns for  its Class  B shares  which were first
offered on October 22, 1992, stated  as aggregate total returns, at October  31,
1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        8.22%          2.48%          2.07%
October 22, 1992 through October 31, 1995...................................       18.40%         22.97%         35.37%
</TABLE>
 
The  Funds' Non-Standardized  Returns for  the Funds'  Class A  shares stated as
average annual total returns, at October 31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        9.22%          3.06%          2.81%
October 31, 1990 through October 31, 1995...................................        7.13%          8.64%           N/A
March 29, 1988 through October 31, 1995.....................................        7.36%          7.92%        N/A
October 22, 1992 through October 31, 1995...................................         N/A            N/A          11.28   %
</TABLE>
 
The Funds' Non-Standardized  Returns for  its Class  B shares  which were  first
offered  on October 22, 1992, stated as average annual total returns, at October
31, 1995, were as follows:
 
<TABLE>
<CAPTION>
                                                                               GOVERNMENT      STRATEGIC     HIGH INCOME
PERIOD                                                                         INCOME FUND    INCOME FUND       FUND
- ----------------------------------------------------------------------------  -------------  -------------  -------------
<S>                                                                           <C>            <C>            <C>
Year ended October 31, 1995.................................................        8.22%          2.48%          2.07%
October 22, 1992 through October 31, 1995...................................        5.74%          7.08%         10.53%
</TABLE>
 
                  Statement of Additional Information Page 36
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Current yield ("YIELD"), which is calculated separately for Class A and Class  B
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  Securities and
Exchange Commission:
 
<TABLE>
<S>       <C>  <C>  <C>     <C> <C>
                   a-b
YIELD =   2     [( --  + 1  )   (6)-1]
                   cd
</TABLE>
 
The current  yields  of  the Class  A  shares  of the  Government  Income  Fund,
Strategic  Income Fund and the  High Income Fund for  the one month period ended
October 31,  1995, were  7.27%,  11.63% and  12.98%, respectively.  The  current
yields  of the Class B  shares of Government Income  Fund, Strategic Income Fund
and High Income Fund for the one month period ended October 31, 1995 were 6.44%,
11.55%, and 12.95%, respectively.
 
IMPORTANT POINTS TO NOTE ABOUT DATA RELATING TO WORLD EQUITY AND BOND MARKETS
Information  relating  to   foreign  market   performance,  capitalization   and
diversification  is based on sources  believed to be reliable,  but which may be
subject to revision and which has not been independently verified by the Company
or GT  Global.  The authors  and  publishers of  such  material are  not  to  be
considered as "experts" under the Securities Act of 1933, as amended, on account
of the inclusion of such information herein.
 
GT  Global 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 any of these Funds, nor is it a
prediction of such performance.  The performance of the  Funds will differ  from
the  historical performance of relevant indices. The performance of indices does
not take  expenses  into  account,  while  each  Fund  incurs  expenses  in  its
operations,  which will reduce performance. Each Fund is actively managed, I.E.,
the Manager, as  each Fund's  investment manager, actively  purchases and  sells
securities  in seeking each Fund's investment objective. Moreover, each Fund may
invest a portion of its assets in corporate bonds, while certain indices  relate
only  to government bonds. Each  of these factors will  cause the performance of
each Fund to differ from relevant indices.
 
Each Fund and  GT Global,  from time  to time, may  compare the  Funds with  the
following:
 
        (1) Various Salomon Brothers World Bond Indices, which measure the total
    return performance of high quality non-U.S. dollar denominated securities in
    major  sectors of the worldwide bond  markets including the Salomon Brothers
    World Government  Bond Index,  which is  a  widely used  index of  ten  year
    government bonds with remaining maturities greater than one year.
 
        (2)  The  Shearson Lehman  Government/Corporate Bond  Index, which  is a
    comprehensive measure  of  all  public  obligations  of  the  U.S.  Treasury
    (excluding  flower bonds and  foreign targeted issues),  all publicly issued
    debt  of  agencies  of  the  U.S.  Government  (excluding  mortgage   backed
    securities),  and all  public, fixed rate,  non-convertible investment grade
    domestic corporate debt rated at least Baa by Moody's or BBB by S&P, or,  in
    the  case  of  nonrated bonds,  BBB  by Fitch  Investors  Service (excluding
    Collateralized Mortgage Obligations).
 
        (3) Average of  Savings Accounts,  which is a  measure of  all kinds  of
    savings  deposits,  including  longer-term  certificates  (based  on figures
    supplied by the U.S. League of Savings Institutions). 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.
 
        (4) The Consumer Price Index, 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).
 
        (5)  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") and/or other companies that rank 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  the  Fund's  "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  without such peer  group. 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
 
                  Statement of Additional Information Page 37
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
    the funds in  an investment category  receive five stars  and 22.5%  receive
    four stars. The ratings are subject to change each month.
 
        (6)  Bear  Stearns Foreign  Bond  Index, which  provides  simple average
    returns for individual countries and GNP-weighted index, beginning in  1975.
    The returns are broken down by local market and currency.
 
        (7)  Ibbottson  Associates International  Bond  Index, which  provides a
    detailed breakdown of local market and currency returns since 1960.
 
        (8) Standard & Poor's 500 Composite Stock Price Index which is a  widely
    recognized  index  composed of  the  capitalization-weighted average  of the
    price of 500 of the largest publicly traded stocks in the U.S.
 
        (9) Salomon Brothers Broad Investment Grade Index which is a widely used
    index composed of  U.S. domestic government,  corporate and  mortgage-backed
    fixed  income securities  and the  Salomon Brothers  Brady Bond  Index which
    measures the total  return performance  of Brady Bonds  issued since  March,
    1990, and are issued in U.S. dollar denominated instruments.
 
       (10) Dow Jones Industrial Average.
 
       (11) CNBC/Financial News Composite Index.
 
       (12) 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 of Europe, Australia and the Far East.
 
       (13) International Finance Corporation ("IFC") Emerging Markets Data Base
    which provides detailed statistics on  bond and stock markets in  developing
    countries
 
       (14)  J.P. Morgan &  Co. Bond Indices, including,  among others, the J.P.
    Morgan Traded Government  Bond Index which  is an index  composed of  liquid
    non-U.S.  fixed income  securities based  on market  weightings and currency
    since 1986.
 
       (15) Salomon Brothers  World Government Bond  Index and Salomon  Brothers
    World  Government Bond Index-Non-U.S. are each  a widely used index composed
    of world government bonds.
 
       (16) 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.
 
       (17) Salomon  Brothers Global  Telecommunications  Index is  composed  of
    telecommunications companies in the developing and emerging countries.
 
       (18)  Datastream and  Worldscope, each  is an  on-line database retrieval
    service for information including but not limited to international financial
    and economic data.
 
       (19)  International  Financial  Statistics,  which  is  produced  by  the
    International Monetary Fund.
 
       (20)  Various publications and reports produced by the World Bank and its
    affiliates.
 
       (21) Various publications from the International Bank for  Reconstruction
    and Development/The World Bank.
 
       (22)  Various publications including but  not limited to ratings agencies
    such as  Moody's  Investors Service,  Fitch  Investors Service,  Standard  &
    Poor's.
 
       (23)  Various publications from the Organization for Economic Cooperation
    and Development ("OECD").
 
       (24) Wilshire Associates which is  an on-line database for  international
    financial  and economic data including performance  measure for a wide range
    of securities.
 
Indices, economic and  financial data  prepared by the  research departments  of
such financial organizations as Salomon Brothers, Inc., Lehman Brothers, Merrill
Lynch,  Pierce, Fenner & Smith, Inc. J. P. Morgan, Morgan Stanley, Smith Barney,
S.G. Warburg, Jardine  Flemming, The Bank  for International Settlements,  Asian
Development  Bank, Bloomberg, L.P. and Ibbottson  Associates may be used as well
as information reported by the Federal Reserve and the respective Central  Banks
of  various nations. In  addition, performance rankings,  ratings and commentary
reported periodically  in  national  financial publications,  included  but  not
limited  to Money  Magazine, Smart  Money, Global  Finance, EuroMoney, Financial
World, Forbes, Fortune, Business Week,  Latin Finance, the Wall Street  Journal,
Emerging Markets Weekly, Kiplinger's
 
                  Statement of Additional Information Page 38
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
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 which may be developed and made available.
 
From time  to  time,  the  Fund  and  GT Global  may  refer  to  the  number  of
shareholders  in the  Fund or  the aggregate  number of  shareholders in  all GT
Global Mutual Funds  or the  dollar amount of  Fund assets  under management  in
advertising materials.
 
GT  Global believes the GT Global Income  Funds can be an appropriate investment
for long-term investment goals including but not limited to funding  retirement,
paying  for education or purchasing  a house. The GT  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.
 
GT Global believes that a growing number of consumer products, including but not
limited to home appliances, automobiles and clothing, purchased by Americans are
manufactured abroad. GT Global believes that investing globally in the companies
that produce products for U.S. consumers can help U.S. investors seek protection
of the value of their assets against the potentially increasing costs of foreign
manufactured goods. Of course, there can be no assurance that there will be  any
correlation  between global investing and the costs of such foreign goods unless
there is  a  corresponding  change  in  value of  the  U.S.  dollar  to  foreign
currencies.  From time to time, GT Global may refer to or advertise the names of
such companies although there can be no assurance that any GT Global Mutual Fund
may own the securities of these companies.
 
The Funds may compare their performance to that of other compilations or indices
of comparable quality  to those  listed above which  may be  developed and  made
available   in  the  future.  The  Funds  may  be  compared  in  advertising  to
Certificates of Deposit (CDs), the Bank Rate Monitor National Index, an  average
of  the quoted rates for 100 leading banks and thrifts in ten U.S. cities chosen
to represent the ten largest  Consumer Metropolitan statistical areas, or  other
investments  issued by banks. The Funds  differ from bank investments in several
respects. The Funds may offer greater liquidity or higher potential returns than
CDs; but unlike CDs, the  Funds will have a  fluctuating share price and  return
and is not FDIC insured.
 
The  Funds' performance may be compared to the performance of other mutual funds
in general, or  to the performance  of particular types  of mutual funds.  These
comparisons  may  be  expressed  as  mutual  fund  rankings  prepared  by Lipper
Analytical Services, Inc.  (Lipper), an independent  service which monitors  the
performance  of mutual funds. Lipper generally ranks funds on the basis of total
return, assuming reinvestment of distributions, but does not take sales  charges
or  redemption fees  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.
 
GT  Global may provide information designed to help individuals understand their
investment goals  and  explore various  financial  strategies. For  example,  GT
Global  may describe general principles of  investing, such as asset allocation,
diversification and risk tolerance.
 
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.
 
GT Global 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. The funds may
also  compare performance to that  of other compilations or  indices that may be
developed and made available in the future.
 
In advertising materials, GT  Global may reference or  discuss its products  and
services,  which may include:  retirement investing; the  effects of dollar-cost
averaging and saving for  college or a  home. In addition,  GT Global may  quote
financial  or business publications and  periodicals, including model portfolios
or allocations, as they  relate to fund  management, investment philosophy,  and
investment techniques.
 
The Fund may discuss its Quotron number, CUSIP number, and its current portfolio
management team.
 
From  time to time, the Fund's performance  also may be compared to other mutual
funds tracked  by  financial  or  business  publications  and  periodicals.  For
example,  the fund  may quote  Morningstar, Inc.  in its  advertising materials.
Morningstar,
 
                  Statement of Additional Information Page 39
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
Inc. is a mutual  fund rating service  that rates mutual funds  on the basis  of
risk-adjusted performance. In addition, the Fund may quote financial or business
publications  and  periodicals as  they  relate to  fund  management, investment
philosophy, and investment techniques. Rankings that compare the performance  of
GT  Global Funds to one another  in appropriate categories over specific periods
of time may also be quoted in advertising.
 
The Fund may  quote various  measures of volatility  and benchmark  correlation,
such  as beta, standard deviation  and R2 in advertising.  In addition, the Fund
may compare these measures to those of other funds. Measures of volatility  seek
to  compare  the Fund's  historical share  price  fluctuations or  total returns
compared to those of a benchmark. All measures of volatility and correlation are
calculated using averages of historical data.
 
The Fund may  advertise examples of  the effects of  periodic investment  plans,
including the principle of dollar cost averaging. 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 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 be  available  for purchase  through  retirement plans  or other
programs offering deferral of or exemption from income taxes, which may  produce
superior  after tax returns over time. 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.
 
The Fund may describe in its  sales material and advertisements how an  investor
may  invest in the GT Global Mutual  Funds through various retirement plans that
offer deferral of  income taxes on  investment earnings and  may also enable  an
investor  to  make pre-tax  contributions.  Because of  their  advantages, these
retirement plans  may  produce  returns superior  to  comparable  non-retirement
investments. The Funds may also discuss these plans, which include:
 
INDIVIDUAL RETIREMENT ACCOUNTS (IRAS): Any individual who receives earned income
from  employment (including  self-employment) can  contribute up  to $2,000 each
year to  an IRA  (or if  less,  100% of  compensation). If  your spouse  is  not
employed,  a total of $2,250 may be contributed each year to IRAs set up for you
and your  spouse  (subject  to  the  maximum of  $2,000  to  either  IRA).  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. Please consult your tax advisor for more information.
 
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  rollover  (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 a  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 advisor for more information.
 
SEP-IRAS AND SALARY-REDUCTION SEP-IRAS: Simplified employee pension (SEP)  plans
and  salary-reduction SEPs  provide self-employed individuals  (and any eligible
employees) with benefits similar to Keogh-type  plans or 401(k) plans, but  with
fewer   administrative  requirements   and  therefore   potential  lower  annual
administration expenses.
 
403(B)(7) CUSTODIAL  ACCOUNTS:  Employees  of  public  schools  and  most  other
not-for-profit  corporations can make pre-tax  salary reduction contributions to
these accounts.
 
PROFIT-SHARING (INCLUDING 401(K)) AND MONEY PURCHASE PENSION PLANS: Corporations
can sponsor these qualified  defined contribution plans  for their employees.  A
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 limitations).
 
GT Global may from time to time in its sales methods and advertising discuss the
risks  inherent in investing. 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.
 
                  Statement of Additional Information Page 40
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
The major types of investment risk are market risk, industry risk, credit  risk,
interest  rate risk and inflation risk. Market risk entails a change in value of
a security due  to market  uncertainty. Industry risk  can be  described as  the
market risk associated with companies engaged in a similar business.
 
The  next two risks,  credit and interest  rate risk, more  often are associated
with fixed income investing.  Credit risk refers to  the creditworthiness of  an
issuer  of  debt  securities and  its  ability  to pay  interest  and  repay the
principal value  of  the bond.  Interest  rate  risk has  two  components.  When
interest  rates  rise or  fall the  value  of the  security generally  will move
correspondingly in the opposite direction. Further, the longer the maturity  the
greater the impact on the bond's value.
 
Finally,  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.
 
From  time to time, the Fund and  GT Global will quote information including but
not limited  to  data  regarding: individual  countries,  regions,  world  stock
exchanges, and economic and demographic statistics such as:
 
 1) Stock  market  capitalization:  Morgan Stanley  Capital  International World
    Indices, International Finance Corporation and Datastream.
 
 2) Stock market  trading volume:  Morgan  Stanley Capital  International  World
    Indices, International Finance Corporation.
 
 3) The  number of listed companies: International Finance Corporation, 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, International Finance Corporation and Datastream.
 
 7) The  Consumer Price Index and inflation rate: The World Bank, Datastream and
    International Finance Corporation.
 
 8) Gross Domestic Product (GDP): Datastream and The World Bank.
 
 9) GDP growth  rate:  International Finance  Corporation,  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:  Organization for Economic Cooperation
    and Development and United Nations.
 
13) Total exports and  imports by year:  International Finance Corporation,  The
    World Bank and Datastream.
 
14) Top  three companies by country,  industry, or market: International Finance
    Corporation, 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 Manager.
 
19) Political and economic structure of countries: Economist Intelligence Unit.
 
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.
 
In advertising and sales materials, GT  Global may make reference to or  discuss
its products, services and accomplishments. Among these accomplishments are that
in  1983  the Manager  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  LGT  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 Manager by the government
of Hong Kong, Japan's Ministry of Finance or
 
                  Statement of Additional Information Page 41
<PAGE>
                             GT GLOBAL INCOME FUNDS
any  other government or  government agency. Nor do  any such accomplishments of
the Manager provide any  assurance that the GT  Global Mutual Funds'  investment
objectives will be achieved.
 
THE GT ADVANTAGE
The  Manager has developed a unique team approach to its global money management
which we call the  GT Advantage. The Manager's  money management style  combines
the  best of the  "top-down" and "bottom-up"  investment manager strategies. The
top-down approach is  implemented by the  Manager's Investment Policy  Committee
which  sets broad guidelines for asset  allocation and currency management based
on the Manager's  own macroeconomic  forecasts and research  from its  worldwide
offices.  The bottom-up approach utilizes regional teams of individual portfolio
managers to implement the committee's  quidelines by selecting local  securities
that offer strong growth and income potential.
 
ECONOMIC DEVELOPMENT IN EMERGING MARKETS
The  Manager  has identified  six  phases to  track  the progress  of developing
economies.
 
In addition, the Manager 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  --  Best quality.  These securities  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 -- High quality by all standards. They are rated lower than the  best
    bond  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 risks appear somewhat
    greater.
 
        A   --  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 sometime in the future.
 
        Baa -- 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.
 
                  Statement of Additional Information Page 42
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
        Ba -- Have speculative elements and 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  --  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  -- Poor  standing. Such issues  may be  in default or  there may be
    present elements of danger with respect to principal or interest.
 
        Ca -- Speculative in a high degree. Such issues are often in default  or
    have other marked shortcomings.
 
        C  -- Lowest rated  class of bonds.  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 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 ratings
classification from  Aa through  B  in its  corporate  bond rating  system.  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 issue  ranks  in the  lower  end of  its  generic rating
category.
 
    STANDARD & POOR'S RATINGS GROUP ("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  -- Highest rating. Capacity to  pay interest and repay principal is
    extremely strong.
 
        AA --  High  grade. Very  strong  capacity  to pay  interest  and  repay
    principal and differ from AAA issues only in a small degree.
 
        A -- Have a strong capacity to pay interest and repay principal although
    they  are  somewhat more  susceptible to  the adverse  effects of  change in
    circumstances and economic conditions than debt in higher rated categories.
 
        BBB -- Regarded as  having adequate capacity to  pay interest and  repay
    principal.  These bonds normally exhibit adequate protection parameters, but
    adverse economic conditions  or changing  circumstances are  more likely  to
    lead  to a weakened  capacity to pay  interest and repay  principal than for
    debt in higher rated categories.
 
        BB, B, CCC,  CC, C --  Debt rated "BB,"  "B," "CCC," "CC,"  and "C"  are
    regarded,  on balance, as predominantly speculative with respect to capacity
    to pay interest  and repay principal  in accordance with  the terms of  this
    obligation.  "BB" indicates  the lowest  degree of  speculation and  "C" the
    highest degree of speculation. While such debt will likely have some quality
    and protective characteristics, these are outweighed by large  uncertainties
    or major risk exposures to adverse conditions.
 
        BB -- Has less near-term vulnerability to default than other speculative
    issues; however, it faces major ongoing uncertainties or exposure to adverse
    business,  financial or economic  conditions which could  lead to inadequate
    capacity to meet  timely interest  and principal payments.  The "BB"  rating
    category  is also used for debt subordinated to senior debt that is assigned
    an actual or implied "BBB-" rating.
 
        B --  Has a  greater  vulnerability to  default  but currently  has  the
    capacity  to  meet  interest  payments  and  principal  repayments.  Adverse
    business, financial or  economic conditions will  likely impair capacity  or
    willingness  to pay interest and repay principal. The "B" rating category is
    also used for debt subordinated to senior debt that is assigned an actual or
    implied "BB" or "BB-" rating.
 
                  Statement of Additional Information Page 43
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
        CCC -- Has  a currently  identifiable vulnerability to  default, and  is
    dependent upon favorable business, financial and economic conditions to meet
    timely  payment  of interest  and repayment  of principal.  In the  event of
    adverse business, financial or economic conditions, it is not likely to have
    the capacity to pay interest and repay principal. The "CCC" rating  category
    is also used for debt subordinated to senior debt that is assigned an actual
    or implied "B" or "B-" rating.
 
        CC  -- Typically  applied to  debt subordinated  to senior  debt that is
    assigned an actual or implied "CCC" rating.
 
        C -- Typically  applied to  debt subordinated  to senior  debt which  is
    assigned an actual or implied "CCC-" debt rating. The "C" rating may be used
    to  cover a situation where  a bankruptcy petition has  been filed, but debt
    service payments are continued.
 
        C -- Reserved for income bonds on which no interest is being paid.
 
        D -- In payment default. The  "D" rating is used when interest  payments
    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 if debt service payments 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  designations  "Prime-1"  and  "Prime-2"  to  indicate
commercial  paper having the highest capacity  for timely repayment. Issuers (or
supporting institutions) rated Prime-1 have  a superior ability to repay  senior
short-term  debt  obligations.  Prime-1  repayment  ability  generally  will  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 protections; 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 to repay 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  "A-1" for the  highest quality obligations  to "D" for  the lowest. A-1 --
This highest rating 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 strong; however,
the relative degree of safety is not as high as for issues designated "A-1." A-3
- -- Issues carrying this designation  have adequate capacity for timely  payment.
They  are,  however,  more  vulnerable  to the  adverse  effects  of  changes in
circumstances than obligations  carrying the  higher designations.  B --  Issues
rated "B" are regarded as having only speculative capacity for timely payment. C
- --  This  rating is  assigned  to short-term  debt  obligations with  a doubtful
capacity for payment. D -- Debt rated "D" is in payment default. The "D"  rating
category  is used when interest  payments or principal payments  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.
 
                  Statement of Additional Information Page 44
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                              FINANCIAL STATEMENTS
 
- --------------------------------------------------------------------------------
 
The  audited financial statements of GT Global Government Income Fund, GT Global
Strategic Income  Fund, GT  Global  High Income  Fund,  and Global  High  Income
Portfolio  as of  October 31,  1995 and for  the year  then ended  appear on the
following pages.
 
                  Statement of Additional Information Page 45
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                                   REPORT OF
                            INDEPENDENT ACCOUNTANTS
 
- --------------------------------------------------------------------------------
 
ANNUAL REPORT
 
To the Shareholders of GT Global Government Income Fund 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, one of the funds organized as a series of G.T.
Investment Funds, Inc., including the portfolio of investments, as of October
31, 1995, the related statement 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 five years in the period
then ended. These financial statements and the financial highlights are the
responsibility of the Fund's management. Our responsibility is to express an
opinion on these financial statements and the 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, 1995 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 position of GT
Global Government Income Fund as of October 31, 1995, the results of its
operations for the year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the five years in the period then ended, in conformity with generally accepted
accounting principles.
 
                                                        COOPERS & LYBRAND L.L.P.
 
BOSTON, MASSACHUSETTS
DECEMBER 15, 1995
 
                  Statement of Additional Information Page 46
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                   Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Government & Government Agency Obligations (92.2%)
  Australia (5.4%)
    Australian Government, 7% due 4/15/00 ...............   AUD            26,050,000   $ 18,926,518         3.1
    New South Wales Treasury, 11.5% due 7/1/99 ..........   AUD            16,662,000     13,982,148         2.3
  Austria (4.9%)
    Republic of Austria, 3.75% due 2/3/09 ...............   JPY         2,946,000,000     30,091,224         4.9
  Canada (5.1%)
    Canadian Government, 8.50% due 3/1/00 ...............   CAD            40,580,000     31,859,830         5.1
  Denmark (3.9%)
    Kingdom of Denmark, 7% due 12/15/04 .................   DKK           140,500,000     24,394,862         3.9
  Finland (2.3%)
    Finnish Housing Fund, 10.75% due 3/15/02 ............   FIM            53,000,000     14,529,659         2.3
  France (7.7%)
    French Treasury Bond (BTAN), 7% due 10/12/00 ........   FRF           231,000,000     48,033,446         7.7
  Germany (6.8%)
    Deutschland Republic, 6.25% due 1/4/24 ..............   DEM            67,500,000     42,407,536         6.8
  Italy (8.8%)
    Italian Buoni Poliennali del Tesoro (BTPS):
      10.5% due 4/1/05  .................................   ITL        60,500,000,000     35,704,420         5.8
      9.50% due 12/1/99 .................................   ITL        31,340,000,000     18,609,601         3.0
  New Zealand (2.0%)
    New Zealand Government, 10% due 3/15/02 .............   NZD            16,700,000     12,570,834         2.0
  South Africa (3.0%)
    Republic of South Africa, 11.5% due 5/30/00 .........   ZAR            75,700,000     18,748,024         3.0
  Spain (4.0%)
    Kingdom of Spain, 10% due 2/28/05 ...................   ESP         3,195,000,000     24,918,432         4.0
  Sweden (7.6%)
    Swedish Government, 13% due 6/15/01 .................   SEK           266,700,000     47,141,592         7.6
  United Kingdom (6.3%)
    United Kingdom Treasury:
      8.5% due 12/7/05  .................................   GBP            12,000,000     19,701,280         3.2
      8% due 12/7/15  ...................................   GBP            12,500,000     19,521,989         3.1
  United States (24.4%)
    United States Treasury Note, 7.875% due 11/15/04 ....   USD            68,500,000     76,891,250        12.4
    United States Treasury Bond, 6.875% due 8/15/25 .....   USD            69,800,000     74,795,097        12.0
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $557,951,013)  .........................................                                572,827,742
                                                                                        ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 47
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                   Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Supranational Bond (3.9%)
  International Bank of Reconstruction & Development,
   4.75% due 12/20/04 (cost $25,982,989) ................   JPY         2,156,300,000   $ 24,208,534         3.9
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $583,934,002)  .....                                597,036,276        96.1
                                                                                        ------------       -----
<CAPTION>
 
                                                                         Principal         Market        % of Net
Short-Term Investments                                     Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Treasury Bills (2.1%)
  Mexico (2.1%)
    Mexican Tesobonos, effective yield 15.73%, due
     11/9/95 ............................................   USD             7,000,000      6,975,610         1.1
    Mexican Cetes, effective yield 47.60%, due
     1/18/96 ............................................   MXN            46,650,000      5,939,357         1.0
                                                                                        ------------       -----
 
TOTAL SHORT-TERM INVESTMENTS (cost $13,392,083) .........                                 12,914,967         2.1
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $597,326,085) ...................                                609,951,243        98.2
Other Assets and Liabilities ............................                                 11,064,585         1.8
                                                                                        ------------       -----
 
NET ASSETS ..............................................                               $621,015,828       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- ----------------
 
        {d}  Percentages indicated are based on net assets of $621,015,828.
          *  For Federal income tax purposes, cost is $598,758,374 and
             appreciation (depreciation) is as follows:
 
                 Unrealized appreciation:         $  20,143,317
                 Unrealized depreciation:            (8,950,448)
                                                  -------------
                 Net unrealized appreciation:     $  11,192,869
                                                  -------------
                                                  -------------
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 48
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                 FORWARD FOREIGN CURRENCY CONTRACTS OUTSTANDING
                                OCTOBER 31, 1995
<TABLE>
<CAPTION>
                                                                               Market Value                            Unrealized
                                                                                   (U.S.       Contract    Delivery   Appreciation
Contracts to Buy:                                                                Dollars)        Price       Date     (Depreciation)
- -----------------------------------------------------------------------------  -------------  -----------  ---------  -------------
<S>                                                                            <C>            <C>          <C>        <C>
Deutsche Marks...............................................................    19,179,095       1.42383   11/30/95   $   249,600
Deutsche Marks...............................................................    12,299,865       1.38974   11/30/95      (137,713)
Deutsche Marks...............................................................    12,196,684       1.41600   11/30/95        92,164
Deutsche Marks...............................................................    12,345,450       1.38179   01/24/96      (174,542)
Deutsche Marks...............................................................    17,621,881       1.39266   01/24/96      (109,654)
Danish Kroner................................................................     1,830,563       5.77080   11/14/95        97,701
Danish Kroner................................................................       787,142       5.43400   11/14/95        (4,172)
Spanish Pesetas..............................................................     1,016,324     122.62500   11/07/95         5,926
Finnish Marks................................................................     1,179,528       4.23407   12/28/95        (1,369)
French Francs................................................................    13,368,831       5.14091   11/30/95       648,846
French Francs................................................................     1,740,086       4.93220   12/04/95        14,285
French Francs................................................................     4,077,070       4.95845   12/04/95        54,876
Japanese Yen.................................................................     6,134,934      99.25500   11/24/95      (169,030)
Japanese Yen.................................................................       323,729      99.53299   11/24/95        (7,990)
Swedish Krona................................................................     5,377,185       6.64000   01/05/96       (21,911)
                                                                               -------------                          -------------
  Total Contracts to Buy (Payable amount $108,941,350).......................   109,478,367                                537,017
                                                                               -------------                          -------------
THE VALUE OF CONTRACTS TO BUY AS A PERCENTAGE OF NET ASSETS IS 17.63%
 
<CAPTION>
 
Contracts to Sell:
<S>                                                                            <C>            <C>          <C>        <C>
Australian Dollars...........................................................     8,734,032       1.32675   01/18/96      (119,012)
Canadian Dollars.............................................................    13,137,809       1.33941   11/20/95         2,305
Deutsche Marks...............................................................       576,389       1.41720   11/30/95        (4,840)
Danish Kroner................................................................    14,644,502       5.51880   11/14/95      (148,597)
Danish Kroner................................................................     1,450,721       5.75380   11/14/95       (73,370)
Spanish Pesetas..............................................................     6,619,637     120.34000   11/07/95        86,362
Spanish Pesetas..............................................................     6,931,343     127.61000   11/07/95      (309,605)
Finnish Marks................................................................    16,513,387       4.35890   12/28/95      (454,290)
French Francs................................................................    17,786,319       5.06050   11/30/95      (594,342)
French Francs................................................................     6,711,780       5.12790   11/30/95      (309,549)
French Francs................................................................    11,283,321       4.95714   11/30/95      (149,636)
French Francs................................................................    12,097,168       4.90654   12/04/95       (36,340)
French Francs................................................................     9,218,481       5.07865   12/13/95      (338,169)
French Francs................................................................     1,205,965       4.93700   12/13/95       (10,908)
French Francs................................................................     8,385,441       4.95600   12/18/95      (107,170)
French Francs................................................................       619,295       4.88750   12/18/95           654
Pounds Sterling..............................................................     1,416,935       0.63710   01/16/96        (4,295)
Pounds Sterling..............................................................       818,673       0.63623   01/16/96        (1,363)
Pounds Sterling..............................................................       676,980       0.63355   01/16/96         1,732
Italian Lira.................................................................     5,286,464   1,634.54999   01/11/96       (86,256)
Italian Lira.................................................................     1,915,566   1,609.59999   01/11/96        (2,047)
Italian Lira.................................................................    12,504,077   1,637.27600   01/26/96      (199,585)
Italian Lira.................................................................    12,482,507   1,640.29200   01/26/96      (221,826)
Swedish Krona................................................................    27,973,362       7.03330   01/05/96    (1,456,649)
Swedish Krona................................................................     7,612,992       6.80770   01/05/96      (157,280)
                                                                               -------------                          -------------
  Total Contracts to Sell (Receivable amount $201,909,070)...................   206,603,146                             (4,694,076)
                                                                               -------------                          -------------
THE VALUE OF CONTRACTS TO SELL AS A PERCENTAGE OF NET ASSETS IS 33.27%
  Total Open Forward Foreign Currency Contracts, Net.........................                                          $(4,157,059)
                                                                                                                      -------------
                                                                                                                      -------------
</TABLE>
 
- ----------------
 
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 49
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                              STATEMENT OF ASSETS
                                AND LIABILITIES
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>
Assets:
  Investments in securities, at value (cost
   $597,326,085) (Note 1)...........................     $ 609,951,243
  Interest and interest withholding tax reclaims
   receivable.......................................        17,932,615
  Receivable for Fund shares sold...................         2,584,411
  Receivable for securities sold....................               700
  Cash held as collateral for securities loaned
   (Note 1).........................................       144,235,681
                                                         -------------
    Total assets....................................       774,704,650
                                                         -------------
Liabilities:
  Payable for open forward foreign currency
   contracts, net (Note 1)..........................         4,157,059
  Payable for Fund shares repurchased...............         3,428,606
  Payable for forward foreign currency contracts --
   closed (Note 1)..................................           520,441
  Payable for investment management and
   administration fees (Note 2).....................           386,836
  Payable for service and distribution expenses
   (Note 2).........................................           318,422
  Due to custodian..................................           303,622
  Payable for printing and postage expenses.........           137,943
  Payable for transfer agent fees (Note 2)..........            93,567
  Payable for professional fees.....................            32,987
  Payable for custodian fees (Note 1)...............            23,750
  Payable for registration and filing fees..........            22,289
  Payable for fund accounting fees (Note 2).........            13,536
  Distribution payable (Note 1).....................             8,264
  Payable for Directors' fees and expenses (Note
   2)...............................................             1,662
  Other accrued expenses............................             4,157
  Collateral for securities loaned (Note 1).........       144,235,681
                                                         -------------
    Total liabilities...............................       153,688,822
                                                         -------------
Net assets..........................................     $ 621,015,828
                                                         -------------
                                                         -------------
Class A:
Net asset value and redemption price per share
 ($385,403,553 DIVIDED BY 43,758,850 shares
 outstanding).......................................     $        8.81
                                                         -------------
                                                         -------------
Maximum offering price per share (100/95.25 of
 $8.81) *...........................................     $        9.25
                                                         -------------
                                                         -------------
Class B:+
Net asset value and offering price per share
 ($235,480,993 DIVIDED BY 26,744,046 shares
 outstanding).......................................     $        8.80
                                                         -------------
                                                         -------------
Advisor Class: (Notes 1 & 4)
Net asset value, offering price per share, and
 redemption price per share ($131,282 DIVIDED BY
 14,914 shares outstanding).........................     $        8.80
                                                         -------------
                                                         -------------
Net assets consist of:
  Paid in capital (Note 4)..........................     $ 758,763,464
  Undistributed net investment income...............         1,761,999
  Accumulated net realized loss on investments and
   foreign currency transactions....................      (148,171,697)
  Net unrealized depreciation on translation of
   assets and liabilities in foreign currencies.....        (3,963,096)
  Net unrealized appreciation of investments........        12,625,158
                                                         -------------
Total -- representing net assets applicable to
 capital shares outstanding.........................     $ 621,015,828
                                                         -------------
                                                         -------------
<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.
 
                  Statement of Additional Information Page 50
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                            STATEMENT OF OPERATIONS
 
                          Year ended October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>              <C>
Investment income: (Note 1)
  Interest income (net of foreign withholding tax of $524)....     $57,430,425
                                                                   -----------
    Total investment income...................................      57,430,425
                                                                   -----------
Expenses:
  Investment management and administration fees (Note 2)......       4,946,971
  Service and distribution expenses: (Note 2)
    Class A..................................     $  1,536,304
    Class B..................................        2,500,417       4,036,721
                                                  ------------
  Transfer agent fees (Note 2)................................       1,094,433
  Printing and postage expenses...............................         333,530
  Custodian fees (Note 1).....................................         430,398
  Fund accounting fees (Note 2)...............................         175,158
  Audit fees..................................................          60,225
  Legal fees..................................................          28,150
  Directors' fees and expenses (Note 2).......................          18,450
  Registration and filing fees................................          14,457
  Insurance expenses..........................................           8,030
  Other expenses..............................................           9,855
                                                                   -----------
    Total expenses before reductions..........................      11,156,378
                                                                   -----------
      Expense reductions (Note 1).............................        (218,967)
                                                                   -----------
    Total net expenses........................................      10,937,411
                                                                   -----------
Net investment income.........................................      46,493,014
                                                                   -----------
Net realized and unrealized gain (loss) on
investments and foreign currencies: (Note 1)
  Net realized gain on investments...........       21,102,232
  Net realized loss on foreign currency
   transactions..............................      (25,567,655)
                                                  ------------
    Net realized loss during the year.........................      (4,465,423)
  Net change in unrealized depreciation on
   translation of assets and liabilities in
   foreign currencies........................        3,260,081
  Net change in unrealized appreciation of
   investments...............................       12,089,374
                                                  ------------
    Net unrealized appreciation during the year...............      15,349,455
                                                                   -----------
Net realized and unrealized gain on investments and foreign
 currencies...................................................      10,884,032
                                                                   -----------
Net increase in net assets resulting from operations..........     $57,377,046
                                                                   -----------
                                                                   -----------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 51
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                       STATEMENT OF CHANGES IN NET ASSETS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                     YEAR ENDED             YEAR ENDED
                                                  OCTOBER 31, 1995       OCTOBER 31, 1994
                                                  -----------------      -----------------
<S>                                               <C>                    <C>
Decrease in net assets
Operations:
  Net investment income......................       $  46,493,014          $  59,484,891
  Net realized loss on investments and
   foreign currency transactions.............          (4,465,423)          (146,390,203)
  Net change in unrealized appreciation
   (depreciation) on translation of assets
   and liabilities in foreign currencies.....           3,260,081             (5,037,165)
  Net change in unrealized appreciation
   (depreciation) of investments.............          12,089,374               (996,786)
                                                  -----------------      -----------------
    Net increase (decrease) in net assets
     resulting from operations...............          57,377,046            (92,939,263)
                                                  -----------------      -----------------
Class A:
Distributions to shareholders: (Note 1)
  From net investment income.................         (29,604,447)           (44,148,920)
  From net realized gain on investments......                  --            (17,627,677)
  In excess of net realized gain on
   investments...............................                  --            (35,374,886)
  Return of capital..........................                  --             (6,291,488)
Class B:
Distributions to shareholders: (Note 1)
  From net investment income.................         (15,123,091)           (16,256,126)
  From net realized gain on investments......                  --             (5,517,894)
  In excess of net realized gain on
   investments...............................                  --            (11,171,017)
  Return of capital..........................                  --             (2,097,163)
Advisor Class:
Distributions to shareholders: (Note 1)
  From net investment income.................              (3,476)                    --
                                                  -----------------      -----------------
    Total distributions......................         (44,731,014)          (138,485,171)
                                                  -----------------      -----------------
Capital share transactions: (Note 4)
  Increase from capital shares sold and
   reinvested................................         359,717,885            544,282,723
  Decrease from capital shares repurchased...        (515,847,692)          (439,631,119)
                                                  -----------------      -----------------
    Net increase (decrease) from capital
     share transactions......................        (156,129,807)           104,651,604
                                                  -----------------      -----------------
Total decrease in net assets.................        (143,483,775)          (126,772,830)
Net assets:
  Beginning of year..........................         764,499,603            891,272,433
                                                  -----------------      -----------------
  End of year................................       $ 621,015,828          $ 764,499,603
                                                  -----------------      -----------------
                                                  -----------------      -----------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 52
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
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,
                                          ---------------------------------------------------------------
                                            1995(D)      1994(D)      1993(D)       1992         1991
                                          -----------  -----------  -----------  -----------  -----------
<S>                                       <C>          <C>          <C>          <C>          <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $     8.63   $    11.07   $     9.83   $    10.29   $    10.46
                                          -----------  -----------  -----------  -----------  -----------
Income from investment operations:
  Net investment income.................        0.62         0.65         0.74         0.92         0.99
  Net realized and unrealized gain
   (loss) on investments................        0.15        (1.52)        1.34        (0.31)       (0.07)
                                          -----------  -----------  -----------  -----------  -----------
    Net increase (decrease) from
     investment operations..............        0.77        (0.87)        2.08         0.61         0.92
                                          -----------  -----------  -----------  -----------  -----------
Distributions to shareholders:
  From net investment income............       (0.59)       (0.65)       (0.74)       (0.83)       (1.00)
  From net realized gain on
   investments..........................        0.00        (0.27)        0.00        (0.13)       (0.09)
  In excess of net realized gain on
   investments..........................        0.00        (0.55)        0.00         0.00         0.00
  Return of capital.....................        0.00        (0.10)        0.00         0.00         0.00
  From sources other than net investment
   income...............................        0.00         0.00        (0.10)       (0.11)        0.00
                                          -----------  -----------  -----------  -----------  -----------
    Total distributions.................       (0.59)       (1.57)       (0.84)       (1.07)       (1.09)
                                          -----------  -----------  -----------  -----------  -----------
Net asset value, end of period..........  $     8.81   $     8.63   $    11.07   $     9.83   $    10.29
                                          -----------  -----------  -----------  -----------  -----------
                                          -----------  -----------  -----------  -----------  -----------
Total investment return (c).............        9.22%       (8.87)%       21.9%         6.3%         9.4%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  385,404   $  502,094   $  708,301   $  623,387   $  399,200
Ratio of net investment income to
 average net assets.....................        6.98%        6.87%         7.1%         9.0%         9.5%
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        1.35%        1.33%         1.4%         1.6%         1.6%
  Without expense reductions............        1.38%          --%*         --%*         --%*         --%*
Portfolio turnover rate++++.............         385%         625%         495%         351%         326%
</TABLE>
 
- ----------------
 
(a)  Not annualized.
(b)  Annualized.
(c)  Total investment return does not include sales charges.
(d)  These selected per share data were calculated based upon weighted
     average shares outstanding during the year.
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B 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.
  *  Calculation of "Ratio of expenses to average net assets" was made
     without considering the effect of expense reductions, if any.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 53
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                         FINANCIAL HIGHLIGHTS (CONT'D)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
total investment return, ratios and supplemental data. This information has been
derived from information provided in the financial statements.
 
<TABLE>
<CAPTION>
                                                                 CLASS B++                             ADVISOR
                                          --------------------------------------------------------    CLASS+++
                                                                                                    -------------
                                                       YEAR ENDED                OCTOBER 22, 1992   JUNE 1, 1995
                                                       OCTOBER 31,                      TO               TO
                                          -------------------------------------     OCTOBER 31,      OCTOBER 31,
                                            1995(D)      1994(D)      1993(D)          1992            1995(D)
                                          -----------  -----------  -----------  -----------------  -------------
<S>                                       <C>          <C>          <C>          <C>                <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $     8.64   $    11.07   $     9.83       $    9.87        $    8.98
                                          -----------  -----------  -----------        -------      -------------
Income from investment operations:
  Net investment income.................        0.55         0.59         0.67            0.02             0.26
  Net realized and unrealized gain
   (loss) on investments................        0.14        (1.52)        1.34           (0.06)           (0.19)
                                          -----------  -----------  -----------        -------      -------------
    Net increase (decrease) from
     investment operations..............        0.69        (0.93)        2.01           (0.04)            0.07
                                          -----------  -----------  -----------        -------      -------------
Distributions to shareholders:
  From net investment income............       (0.53)       (0.59)       (0.67)           0.00            (0.25)
  From net realized gain on
   investments..........................        0.00        (0.27)        0.00            0.00             0.00
  In excess of net realized gain on
   investments..........................        0.00        (0.54)        0.00            0.00             0.00
  Return of capital.....................        0.00        (0.10)        0.00            0.00             0.00
  From sources other than net investment
   income...............................        0.00         0.00        (0.10)           0.00             0.00
                                          -----------  -----------  -----------        -------      -------------
    Total distributions.................       (0.53)       (1.50)       (0.77)           0.00            (0.25)
                                          -----------  -----------  -----------        -------      -------------
Net asset value, end of period..........  $     8.80   $     8.64   $    11.07       $    9.83        $    8.80
                                          -----------  -----------  -----------        -------      -------------
                                          -----------  -----------  -----------        -------      -------------
Total investment return (c).............        8.22%       (9.39)%       21.1%           (0.4)%(a)        0.83%(a)
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  235,481   $  262,405   $  182,972       $   2,624        $     131
Ratio of net investment income to
 average net assets.....................        6.33%        6.22%         6.5%            8.0%(b)         7.33%(b)
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        2.00%        1.98%         2.0%            1.9%(b)         1.00%(b)
  Without expense reductions............        2.03%          --%*         --%*            --%*           1.03%(b)
Portfolio turnover rate++++.............         385%         625%         495%            351%             385%
</TABLE>
 
- ----------------
 
(a)  Not annualized.
(b)  Annualized.
(c)  Total investment return does not include sales charges.
(d)  These selected per share data were calculated based upon weighted
     average shares outstanding during the year.
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B 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.
  *  Calculation of "Ratio of expenses to average net assets" was made
     without considering the effect of expense reductions, if any.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 54
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
                                    NOTES TO
                              FINANCIAL STATEMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
GT Global Government Income Fund ("Fund") is a separate series of G.T.
Investment Funds, Inc. ("Company"). The Company is organized as a Maryland
corporation and is registered under the Investment Company Act of 1940, as
amended ("1940 Act"), as a non-diversified, open-end management investment
company. The Company has twelve series of shares in operation, each series
corresponding to a distinct portfolio of investments.
 
The Fund offers Class A, Class B, and Advisor Class shares, each of which has
equal rights as to assets and voting privileges. Class A and Class B each has
exclusive voting rights with respect to its distribution plan. The Fund
commenced sale of Advisor Class shares on June 1, 1995. Investment income,
realized and unrealized capital gains and losses, and the common expenses of the
Fund 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 Fund. 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 following is a summary of significant accounting policies consistently
followed by the Fund in the preparation of the financial statements. The
policies are in conformity with generally accepted accounting principles.
 
(A)  PORTFOLIO VALUATION
The Fund calculates the net asset value of and completes 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 LGT Asset Management, Inc.
("LGT Asset Management") 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 LGT
Asset Management deems it appropriate, prices obtained for the day of valuation
from a bond pricing service will be used. Short-term investments with a maturity
of 60 days or less 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.
 
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.
 
(B)  FOREIGN CURRENCY TRANSLATION
The accounting records of the Fund are maintained in U.S. Dollars. The market
values of foreign securities, currency holdings, other assets and liabilities
are recorded in the books and records of the Fund 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.
 
The Fund does not isolate that portion of the results of operations resulting
from changes in foreign exchange rates on investments from the 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.
 
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
 
                  Statement of Additional Information Page 55
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
between the trade and settlement dates on securities transactions, and the
difference between the amounts of dividends, interest, and foreign withholding
taxes recorded on the Fund'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 year end, resulting from changes in exchange rates.
 
(C)  REPURCHASE AGREEMENTS
With respect to repurchase agreements entered into by the Fund, it is the Fund'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 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 the Fund as an unrealized gain or loss. When the
Forward Contract is closed, the Fund 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
amounts shown in the Fund's "Statement of Assets and Liabilities." The Fund
could be exposed to risk if a counterparty is unable to meet the terms of the
contracts or if the value of the currency changes unfavorably. The Fund 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 the Fund writes a call or put option, an amount equal to the premium
received is included in the Fund'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. If an option expires on its
stipulated expiration date or if the Fund 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 can write options only on a covered
basis, which, for a call, requires that the portfolio hold the underlying
security and, for a put, requires the Fund to set aside cash, U.S. government
securities or other liquid, high-grade debt 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 may use options to manage its exposure
to the bond market and to fluctuations in currency values or interest rates.
 
The premium paid by the Fund for the purchase of a
call or put option is included in the Fund'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 has purchased
expires on the stipulated expiration date, the Fund realizes a loss in the
amount of the cost of the option. If the Fund enters into a closing sale
transaction, the Fund 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 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 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 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 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 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 the
Fund 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 agrees to receive from or
pay to the broker an amount
 
                  Statement of Additional Information Page 56
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
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 as
unrealized gains or losses. When the contract is closed, the Fund 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 is that the change in value of the underlying securities may
not correlate to the change in value of the contracts. The Fund may use futures
contracts to manage its exposure to the bond 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. The Fund 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 to
subsequently invest at less advantageous prices.
 
(H)  PORTFOLIO SECURITIES LOANED
At October 31, 1995, securities with an aggregate value of approximately
$135,853,476 were on loan to brokers. The loans were secured by cash collateral
of $144,235,681.
 
For international securities, cash collateral is received by the Fund 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 the Fund 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. For the year ended October
31, 1995, the Fund received $218,967 of income from securities lending which was
used to offset the Fund's custody expenses.
 
(I)  TAXES
It is the policy of the Fund 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 Fund 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 Fund currently has a capital loss carryforward of
$161,242,885, of which $145,497,299 expires in 2002, and $15,745,586 expires in
2003.
 
(J)  DISTRIBUTIONS TO SHAREHOLDERS
Distributions to shareholders are recorded by the 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 Fund and timing differences.
 
(K)  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 investments 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.
 
(L)  INDEXED SECURITIES
The Fund 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.
 
(M)  RESTRICTED SECURITIES
The Fund 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.
 
2. RELATED PARTIES
LGT Asset Management is the Fund's investment manager and administrator. The
Fund pays investment management and administration fees to LGT Asset Management
at the annualized rate of 0.725% on the first $500 million of average daily net
 
                  Statement of Additional Information Page 57
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
assets of the Fund; 0.70% on the next $1 billion; 0.675% on the next $1 billion
and 0.65% on amounts thereafter. These fees are computed daily and paid monthly,
and are subject to reduction in any year to the extent that the Fund's expenses
(exclusive of brokerage commissions, taxes, interest, distribution-related
expenses and extraordinary expenses) exceed the most stringent limits prescribed
by the laws or regulations of any state in which the Fund's shares are offered
for sale, based on the average total net asset value of the Fund.
 
GT Global Financial Services, Inc. ("GT Global"), an affiliate of LGT Asset
Management, serves as the Fund's distributor. The Fund offers 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 Fund's 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, 1995, GT Global retained $58,490
of such sales charges. Purchases of Class A shares exceeding $500,000 may be
subject to a contingent deferred sales charge ("CDSC") upon redemption, in
accordance with the Fund's current prospectus. GT Global collected CDSCs in the
amount of $56,072 for the year ended October 31, 1995. 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 Fund's current
prospectus. For the year ended October 31, 1995, GT Global collected CDSCs in
the amount of $1,540,013. 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 Fund's Class A shares
("Class A Plan") and Class B shares ("Class B Plan"), pursuant to which the Fund
reimburses GT Global for a portion of its shareholder servicing and distribution
expenses. Under the Class A Plan, the 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.
 
Pursuant to the Fund's Class B Plan, the 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.
 
LGT Asset Management and GT Global voluntarily have undertaken to limit the
Fund's expenses (exclusive
of brokerage commissions, taxes, interest, and extraordinary expenses) 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. If
necessary, this limitation will be effected by waivers by LGT Asset Management
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 LGT
Asset Management or GT Global of portions of the Fund's other operating
expenses.
 
GT Global Investor Services, Inc. ("GT Services"), an affiliate of LGT Asset
Management and GT Global, is the transfer agent of the Fund.
 
Effective May 1, 1995, LGT Asset Management has assumed the role of pricing and
accounting agent for the Fund. The monthly fee for these services to LGT Asset
Management is a percentage, not to exceed 0.03% annually, of the Fund'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 LGT Asset
Management ("GT Funds") and 0.02% to the assets in excess of $5 billion and
dividing the result by the aggregate assets of the GT Funds. For the period
ended October 31, 1995. the Fund paid fund accounting fees of $40,218 to LGT
Asset Management.
 
The Company pays each of its Directors who is not an employee, officer or
director of LGT Asset
 
                  Statement of Additional Information Page 58
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
Management, GT Global or GT Services $5,000 per year plus $300 for each meeting
of the board or any committee thereof attended by the Director.
 
3. PURCHASES AND SALES OF SECURITIES
For the year ended October 31, 1995, purchases and sales of investment
securities by the Fund, other than U.S. government obligations and short-term
investments, aggregated $1,909,751,501 and $2,215,955,836, respectively.
Purchases and sales of U.S. government obligations by the Fund aggregated
$525,622,907 and $384,411,620, respectively.
 
4. CAPITAL SHARES
At October 31, 1995, 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 Fund; 200,000,000 were classified as shares of GT
Global Strategic Income Fund; 200,000,000 were classified as shares of GT Global
Health Care Fund; 200,000,000 were classified as shares of GT Global Growth &
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 Latin America
Growth Fund; 200,000,000 were classified as shares of GT Global Small Companies
Fund (inactive);
400,000,000 were classified as shares of GT Global Telecommunications Fund;
200,000,000 were classified as shares of GT Global Emerging Markets 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 High Income Fund; and
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 fourteen series of the Company and
designated as Advisor Class common stock. 1,400,000,000 shares remain
unclassified. Transactions in capital shares of the Fund were as follows:
 
                           CAPITAL SHARE TRANSACTIONS
 
<TABLE>
<CAPTION>
                                                                                    YEAR ENDED                  YEAR ENDED
                                                                                 OCTOBER 31, 1995            OCTOBER 31, 1994
                                                                            --------------------------  --------------------------
CLASS A:                                                                      SHARES        AMOUNT        SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................   17,764,859  $ 154,603,577   19,001,277  $ 188,254,231
Shares issued in connection with reinvestment of distributions............    2,042,839     17,630,697    5,879,273     57,782,308
                                                                            -----------  -------------  -----------  -------------
                                                                             19,807,698    172,234,274   24,880,550    246,036,539
Shares repurchased........................................................  (34,203,619)  (297,666,599) (30,701,436)  (286,176,445)
                                                                            -----------  -------------  -----------  -------------
Net decrease..............................................................  (14,395,921) $(125,432,325)  (5,820,886) $ (40,139,906)
                                                                            -----------  -------------  -----------  -------------
                                                                            -----------  -------------  -----------  -------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                    YEAR ENDED                  YEAR ENDED
                                                                                 OCTOBER 31, 1995            OCTOBER 31, 1994
                                                                            --------------------------  --------------------------
CLASS B:                                                                      SHARES        AMOUNT        SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................   20,700,346  $ 178,801,868   28,653,167  $ 277,906,482
Shares issued in connection with reinvestment of distributions............    1,005,589      8,536,817    2,091,794     20,339,702
                                                                            -----------  -------------  -----------  -------------
                                                                             21,705,935    187,338,685   30,744,961    298,246,184
Shares repurchased........................................................  (25,343,381)  (218,171,165) (16,898,465)  (153,454,674)
                                                                            -----------  -------------  -----------  -------------
Net increase (decrease)...................................................   (3,637,446) $ (30,832,480)  13,846,496  $ 144,791,510
                                                                            -----------  -------------  -----------  -------------
                                                                            -----------  -------------  -----------  -------------
</TABLE>
 
<TABLE>
<CAPTION>
                                                                                   JUNE 1, 1995
                                                                             (COMMENCEMENT OF SALE OF
                                                                              SHARES) TO OCTOBER 31,
                                                                                       1995
                                                                            --------------------------
ADVISOR CLASS:                                                                SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................       15,659  $     141,450
Shares issued in connection with reinvestment of distributions............          397          3,476
                                                                            -----------  -------------
                                                                                 16,056        144,926
Shares repurchased........................................................       (1,142)        (9,928)
                                                                            -----------  -------------
Net increase..............................................................       14,914  $     134,998
                                                                            -----------  -------------
                                                                            -----------  -------------
</TABLE>
 
                  Statement of Additional Information Page 59
<PAGE>
                        GT GLOBAL GOVERNMENT INCOME FUND
 
5. COVERED CALL OPTIONS WRITTEN:
The Fund's written options contracts activity for the year ended October 31,
1995 was as follows:
 
<TABLE>
<CAPTION>
                                                                                         UNDERLYING NOMINAL
                                                                                           AMOUNT IN USD        PREMIUMS
                                                                                        --------------------  ------------
<S>                                                                                     <C>                   <C>
Options outstanding at October 31, 1994...............................................                 0      $          0
Options written.......................................................................        69,420,000           319,332
Options cancelled in closing purchase transactions ($819,156 loss realized)...........       (69,420,000)         (319,332)
Options expired prior to exercise.....................................................                 0                 0
Options exercised.....................................................................                 0                 0
                                                                                        --------------------  ------------
Options outstanding at October 31, 1995...............................................                 0      $          0
                                                                                        --------------------  ------------
                                                                                        --------------------  ------------
</TABLE>
 
6. SUBSEQUENT EVENT:
Effective January 1, 1996, as part of a unified corporate identity effort, the
name of the BIL GT Group (of which LGT Asset Management is a member) will be
changed to Liechtenstein Global Trust ("LGT"). The Fund's (or Portfolio's)
investment manager and administrator, currently named G.T. Capital Management,
Inc., will be changed to "LGT Asset Management, Inc.", and G.T. Global Financial
Service, Inc., which serves as the Fund's distributor, will be known as "GT
Global, Inc."
 
                  Statement of Additional Information Page 60
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                                   REPORT OF
                            INDEPENDENT ACCOUNTANTS
 
- --------------------------------------------------------------------------------
 
ANNUAL REPORT
 
To the Shareholders of GT Global Strategic
Income Fund and Board of Directors of
G.T. Investment Funds, Inc.:
 
We have audited the accompanying statement of assets and liabilities of GT
Global Strategic Income Fund, one of the funds organized as a series of G.T.
Investment Funds, Inc., including the portfolio of investments, as of October
31, 1995, the related statement 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 five years in the period
then ended. These financial statements and the financial highlights are the
responsibility of the Fund's management. Our responsibility is to express an
opinion on these financial statements and the 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, 1995 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 position of GT
Global Strategic Income Fund as of October 31, 1995, the results of its
operations for the year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the five years in the period then ended, in conformity with generally accepted
accounting principles.
 
                                                        COOPERS & LYBRAND L.L.P.
 
BOSTON, MASSACHUSETTS
DECEMBER 15, 1995
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 61
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                   Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Government & Government Agency Obligations (88.2%)
  Argentina (4.8%)
    Republic of Argentina:
      Discount Bond, 6.875% due 3/31/23+  ...............   USD            22,500,000   $ 12,684,375         2.3
      Par Bond, 5% due 3/31/23++ ........................   USD            15,600,000      7,449,000         1.4
      Floating Rate Bond, 6.8125% due 3/31/05+ ..........   USD             7,500,000      4,443,750         0.8
      BOCON Pre 2, 5.83% due 4/1/01[.] + ................   USD             2,150,000      1,751,713         0.3
    Central Bank of Argentina, BONEX, 5.9375% due
     12/28/99+ ..........................................   USD                78,125         73,250          --
  Australia (1.9%)
    Australian Government, 7.5% due 7/15/05 .............   AUD            14,900,000     10,401,748         1.9
  Brazil (4.8%)
    Federal Republic of Brazil:
      Par Z-L Bond, 4.25% due 4/15/24++ .................   USD            31,000,000     15,035,000         2.8
      C Bond, 4% due 4/15/14 (Effective rate at year end
       is 6.035%, including "payment-in-kind" bonds.)[.]
       ++ ...............................................   USD            14,114,066      7,180,531         1.3
      Debt Conversion Bond Series L, 6.875% due
       4/15/12+ .........................................   USD             6,800,000      3,731,500         0.7
      Earned Interest Bond, 6.8125% due 4/15/06+ ........   USD               400,000        265,000          --
  Bulgaria (3.1%)
    Bulgaria:
      Discount Bond Series A, 6.75% due 7/28/24 -
       EURO+ ............................................   USD            13,000,000      6,548,750         1.2
      Discount Bond Series A, 6.75% due 7/28/24 - 144A+
       {.} ..............................................   USD            10,164,755      5,120,495         0.9
      Past Due Interest Bond (IAB), 6.75% due 7/28/11 -
       144A+ {.} ........................................   USD             8,146,553      3,599,758         0.7
      Discount Bond Series B, 7.25% 7/28/24+ ............   USD             3,000,000      1,518,750         0.3
  Canada (1.8%)
    Canadian Government, 8.75% due 12/1/05 ..............   CAD            12,200,000      9,856,194         1.8
  Costa Rica (1.3%)
    Banco Central de Costa Rica:
      Principal Bond Series A, 6.25% due 5/21/10 ........   USD             6,300,000      3,685,500         0.7
      Interest Bond Series A, 6.76563% due 5/21/05+ .....   USD             3,986,872      3,169,563         0.6
  Denmark (2.0%)
    Kingdom of Denmark, 7% due 12/15/04 .................   DKK            63,600,000     11,042,799         2.0
  Ecuador (3.2%)
    Ecuador:
      Par Bond, 3% due 2/28/25 - 144A++ {.} .............   USD            17,999,000      5,984,668         1.1
      Discount Bond, 6.8125% due 2/28/25 - EURO+ ........   USD            11,000,000      5,472,500         1.0
      Past Due Interest Bond, 3% due 2/27/15 - 144A
       (Effective yield at year end is 4.27%, including
       "payment-in-kind" bonds.)[.] + {.} ...............   USD             9,989,113      3,321,380         0.6
      Par Bond, 3% due 2/28/25 - EURO++ .................   USD             5,000,000      1,662,500         0.3
      Earned Interest Bond, 6.75% due 12/21/04 - 144A+
       {.} ..............................................   USD             2,067,975      1,251,125         0.2
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 62
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                   Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Government & Government Agency Obligations (Continued)
  France (5.3%)
    French Treasury Bond (BTAN), 7% due 10/12/00 ........   FRF            73,900,000   $ 15,366,544         2.8
    France O.A.T., 7.25% due 4/25/06 ....................   FRF            66,250,000     13,450,573         2.5
  Germany (3.7%)
    Deutschland Republic, 6.25% due 1/4/24 ..............   DEM            32,000,000     20,104,313         3.7
  Ireland (1.0%)
    Irish Gilts, 6.25% due 10/18/04 .....................   IEP             3,800,000      5,472,836         1.0
  Italy (7.9%)
    Italian Buoni Poliennali del Tesoro (BTPS):
      8.5% due 4/1/04 ...................................   ITL        23,090,000,000     12,119,786         2.2
      8.5% due 1/1/04 ...................................   ITL        11,650,000,000      6,138,412         1.1
      9.5% due 1/1/05 ...................................   ITL        10,750,000,000      5,953,062         1.1
      8.5% due 8/1/99 ...................................   ITL        10,000,000,000      5,776,306         1.1
    Republic of Italy:
      5.125% due 7/29/03 ................................   JPY         1,194,000,000     13,273,481         2.4
  Mexico (4.1%)
    United Mexican States:
      Par Bond Series B, 6.25% due 12/31/19+/+  .........   USD            20,900,000     12,317,938         2.3
      Par Bond Series A, 6.25% due 12/31/19+/+ ..........   USD            16,250,000      9,577,344         1.8
  New Zealand (2.0%)
    New Zealand Government:
      6.5% due 2/15/00  .................................   NZD             8,625,000      5,544,377         1.0
      8% due 11/15/06 ...................................   NZD             7,815,000      5,450,752         1.0
  Nigeria (2.3%)
    Central Bank of Nigeria, Par Bond, 6.25% due
     11/15/20++ +/+ .....................................   USD            26,000,000     12,171,250         2.2
    Nigeria Promissory Notes, 5.092% due 1/5/10++ .......   USD             2,000,000        730,000         0.1
  Philippines (2.1%)
    Central Bank of the Philippines, Par Bond Series B,
     5.75% due 12/1/17++ ................................   USD            15,600,000     11,446,500         2.1
  Poland (4.2%)
    Poland:
      Past Due Interest Bond, 3.75% due 10/27/14 - 144A++
       {.} ..............................................   USD            21,990,000     13,908,675         2.5
      Discount Bond, 6.875% due 10/27/24 - EURO+ ........   USD             9,000,000      6,896,250         1.3
      Par Bond, 2.75% due 10/27/24 - 144A++ {.} .........   USD             4,318,000      1,921,510         0.4
      Par Bond, 2.75% due 10/27/24 - EURO++ .............   USD                81,000         36,045          --
  Portgual (1.0%)
    Portuguese Government Bond, 11.875% due 2/23/05 .....   PTE           773,000,000      5,393,278         1.0
  South Africa (0.6%)
    Republic of South Africa, 9.625% due 12/15/99 .......   USD             2,880,000      3,067,200         0.6
  Spain (3.8%)
    Kingdom of Spain:
      5.75% due 3/23/02 .................................   JPY         1,325,000,000     15,403,882         2.8
      10% due 2/28/05 ...................................   ESP           676,800,000      5,278,496         1.0
  Sweden (4.0%)
    Swedish Government, 13% due 6/15/01 .................   SEK           124,700,000     22,041,832         4.0
  United Kingdom (2.2%)
    United Kingdom Treasury, 7% due 11/6/01 .............   GBP             8,000,000     12,284,659         2.2
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 63
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                   Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Government & Government Agency Obligations (Continued)
  United States (17.3%)
    United States Treasury Note:
      6.875% due 3/31/00 ................................   USD            29,000,000   $ 30,169,077         5.5
      7.75% due 11/30/99 ................................   USD            15,000,000     16,035,945         2.9
      6.5% due 8/15/05  .................................   USD             5,400,000      5,583,940         1.0
    United States Treasury Bond, 6.875% due 8/15/25 .....   USD            40,400,000     43,291,145         7.9
  Uruguay (0.2%)
    Banco Central del Uruguay, Par Bond Series A, 6.75%
     due 2/18/21+/+ .....................................   USD             1,370,000        856,250         0.2
  Venezuela (3.6%)
    Republic of Venezuela:
      Par Bond Series A, 6.75% due 3/31/20+/+ ...........   USD            29,000,000     14,989,375         2.7
      Debt Conversion Bond, 6.8125% due 12/18/07+ .......   USD             7,500,000      3,703,125         0.7
      Discount Bond Series B, 6.9375% due 3/31/20+ +/
       + ................................................   USD             2,500,000      1,325,000         0.2
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $471,956,479) ..........................................                                482,329,007
                                                                                        ------------
Sovereign Debt (6.5%)
  Morocco (4.8%)
    Kingdom of Morocco, Tranche A Loan Agreement, 6.6875%
     due 1/1/09+ ........................................   USD            43,500,000     25,964,063         4.8
  Russia (1.7%)
    Bank for Foreign Economic Affairs (Vnesheconombank)
     Loan Agreement ** -/- ..............................   USD            28,500,000      9,226,163         1.7
                                                                                        ------------
Total Sovereign Debt (cost $40,522,635) .................                                 35,190,226
                                                                                        ------------
Corporate Bonds (0.9%)
  Brazil (0.5%)
    Banco BCN - BCN Leasing, 11% due 6/9/97 - 144A{.} ...   USD             2,500,000      2,462,500         0.5
  Hong Kong (0.1%)
    Pacific Concord Finance Ltd., Convertible Bond, 4.75%
     due 12/10/98 .......................................   USD             1,000,000        795,000         0.1
  India (0.1%)
    Reliance Industries Ltd., 8.125% due 9/27/05 -
     144A{.} ............................................   USD               700,000        705,250         0.1
  Indonesia (0.2%)
    Asia Pulp & Paper International Finance Co., Ltd.,
     11.75% due 10/1/05 .................................   USD               850,000        872,048         0.2
                                                                                        ------------
Total Corporate Bonds (cost $4,767,553) .................                                  4,834,798
                                                                                        ------------
Other Security (0.8%)
  Argentina (0.8%)
    Argentina Local Markets Trust 1994-1 Pre 2, 13.375%
     due 4/15/01 - 144A{.} (cost $5,000,000)  ...........   USD             5,000,000      4,612,500         0.8
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $522,246,667) ......                                526,966,531        96.4
                                                                                        ------------       -----
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 64
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Short-Term Investments                                     Currency       Amount           Value        Assets {d}
- ---------------------------------------------------------  --------   ---------------   ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
Treasury Bills (0.5%)
  Mexico (0.5%)
    Mexican Cetes, effective yield 45.14%, due
     9/26/96 ............................................   MXN            25,600,000   $  2,543,209         0.5
                                                                                        ------------       -----
<CAPTION>
 
                                                                                           Market        % of Net
Repurchase Agreement                                                                       Value        Assets {d}
- ---------------------------------------------------------                               ------------   -------------
<S>                                                        <C>        <C>               <C>            <C>
  Dated October 31, 1995 with State Street Bank & Trust
   Company, due November 1, 1995, for an effective yield
   of 5.80% collateralized by $14,470,000 U.S. Treasury
   Strips, due 5/15/05 (market value of collateral is
   $8,089,969, including accrued interest). (cost
   $7,902,273)  .........................................   --                     --      7,902,273         1.4
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $533,001,678) ...................                                537,412,013        98.3
Other Assets and Liabilities ............................                                  9,047,586         1.7
                                                                                        ------------       -----
 
NET ASSETS ..............................................                               $546,459,599       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- ----------------
 
        {d}  Percentages indicated are based on net assets of $546,459,599.
          +  The coupon rate shown on floating rate note represents the rate at
             period end.
        -/-  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.
        [.]  Bond pays stated or additional interest with "payment-in-kind"
             (PIK) bonds.
         ++  The coupon rate shown on step-up coupon bond 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.
          *  For Federal income tax purposes, cost is $535,702,133 and
             appreciation (depreciation) is as follows:
 
                 Unrealized appreciation:         $  16,996,004
                 Unrealized depreciation:           (15,286,124)
                                                  -------------
                 Net unrealized appreciation:     $   1,709,880
                                                  -------------
                                                  -------------
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 65
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                 FORWARD FOREIGN CURRENCY CONTRACTS OUTSTANDING
                                OCTOBER 31, 1995
<TABLE>
<CAPTION>
                                                                                Market Value                           Unrealized
                                                                                   (U.S.       Contract    Delivery   Appreciation
Contracts to Buy:                                                                 Dollars)       Price       Date     (Depreciation)
- ------------------------------------------------------------------------------  ------------  -----------  ---------  -------------
<S>                                                                             <C>           <C>          <C>        <C>
Australian Dollars............................................................    5,899,101       1.32674   01/18/96   $    80,344
Canadian Dollars..............................................................      849,618       1.33990   12/18/95        (1,192)
Danish Kroner.................................................................    5,766,273       5.69380   11/14/95       233,939
Deutsche Marks................................................................   12,097,061       1.45700   11/30/95       429,251
Deutsche Marks................................................................    8,334,580       1.42383   11/30/95       108,468
Deutsche Marks................................................................   16,409,308       1.41600   11/30/95       123,997
Deutsche Marks................................................................      782,751       1.42380   11/30/95        10,171
Deutsche Marks................................................................   11,741,265       1.42704   11/30/95       178,870
Deutsche Marks................................................................    1,067,388       1.39500   11/30/95        (7,881)
Deutsche Marks................................................................    5,457,909       1.39797   11/30/95       (28,618)
Deutsche Marks................................................................    7,628,489       1.39266   01/24/96       (47,469)
Deutsche Marks................................................................    5,066,630       1.38179   01/24/96       (71,633)
French Francs.................................................................      385,274       4.95845   12/04/95         5,186
Irish Punts...................................................................      323,785       0.61637   11/29/95          (695)
Italian Lira..................................................................      538,717   1,608.60000   01/26/96          (851)
Japanese Yen..................................................................      655,646      99.70000   12/18/95       (11,355)
Japanese Yen..................................................................    2,741,883      99.64300   12/18/95       (49,081)
Japanese Yen..................................................................    2,735,968      99.16200   12/18/95       (62,483)
Japanese Yen..................................................................    2,721,179      98.89100   12/18/95       (69,773)
Pounds Sterling...............................................................    4,014,648       0.63788   01/16/96        17,013
Swedish Krona.................................................................      146,879       6.72800   01/05/96         1,330
Swedish Krona.................................................................    2,018,882       6.64000   01/05/96        (8,227)
                                                                                ------------                          -------------
  Total Contracts to Buy (Payable amount $96,553,923).........................   97,383,234                                829,311
                                                                                ------------                          -------------
THE VALUE OF CONTRACTS TO BUY AS A PERCENTAGE OF NET ASSETS IS 17.82%
 
<CAPTION>
 
Contracts to Sell:
<S>                                                                             <C>           <C>          <C>        <C>
Danish Kroner.................................................................    5,766,273       5.51880   11/14/95       (58,510)
Danish Kroner.................................................................   11,713,546       5.54454   11/17/95      (173,003)
Deutsche Marks................................................................    1,231,054       1.47210   11/30/95       (55,862)
Deutsche Marks................................................................   14,395,503       1.47736   11/30/95      (702,158)
Deutsche Marks................................................................   17,320,145       1.47716   11/30/95      (842,580)
Deutsche Marks................................................................    2,264,701       1.40745   11/30/95        (3,460)
French Francs.................................................................   16,275,420       4.90645   12/04/95       (48,891)
French Francs.................................................................    6,602,150       5.08000   12/13/95      (243,882)
French Francs.................................................................    6,249,558       5.07865   12/13/95      (229,257)
French Francs.................................................................      838,044       4.93700   12/13/95        (7,580)
French Francs.................................................................      217,074       4.88700   12/13/95           237
Irish Punts...................................................................    5,698,615       0.63418   11/29/95      (148,103)
Italian Lira..................................................................    2,860,910   1,634.55000   01/11/96       (46,680)
Italian Lira..................................................................    1,138,145   1,609.60000   01/11/96        (1,216)
Italian Lira..................................................................    5,131,731   1,637.27600   01/26/96       (81,910)
Italian Lira..................................................................    5,474,686   1,628.90000   01/26/96       (59,682)
Japanese Yen..................................................................    4,338,111     100.88000   12/18/95        23,507
Japanese Yen..................................................................    5,718,419     102.15850   12/18/95       (40,967)
Japanese Yen..................................................................      739,451      97.21000   12/18/95        32,075
New Zealand Dollars...........................................................    5,365,302       1.54086   11/29/95       (82,523)
Portuguese Escudos............................................................    5,829,365     156.00000   11/20/95      (284,493)
Pounds Sterling...............................................................      220,412       0.63355   01/16/96           564
Spanish Pesetas...............................................................    5,446,641     120.17500   11/07/95        78,635
Swedish Krona.................................................................   10,904,362       7.03330   01/05/96      (567,820)
Swedish Krona.................................................................    3,146,703       6.80770   01/05/96       (65,009)
                                                                                ------------                          -------------
  Total Contracts to Sell (Receivable amount $141,277,753)....................  144,886,321                             (3,608,568)
                                                                                ------------                          -------------
THE VALUE OF CONTRACTS TO SELL AS A PERCENTAGE OF NET ASSETS IS 26.51%
  Total Open Forward Foreign Currency Contracts, Net..........................                                         $(2,779,257)
                                                                                                                      -------------
                                                                                                                      -------------
</TABLE>
 
- ----------------
See Note 1 to the financial statements.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 66
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                              STATEMENT OF ASSETS
                                AND LIABILITIES
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>          <C>
Assets:
  Investments in securities, at value (cost $533,001,678)
   (Note 1)...............................................     $537,412,013
  U.S. currency..............................     $    440
  Foreign currencies (cost $554,748).........      555,044          555,484
                                                  --------
  Receivable for securities sold..........................       56,097,535
  Interest receivable.....................................       13,665,276
  Receivable for Fund shares sold.........................          236,106
  Cash held as collateral for securities loaned (Note
   1).....................................................       43,729,013
                                                               ------------
    Total assets..........................................      651,695,427
                                                               ------------
Liabilities:
  Payable for securities purchased........................       56,250,305
  Payable for open forward foreign currency contracts, net
   (Note 1)...............................................        2,779,257
  Payable for Fund shares repurchased.....................        1,410,456
  Payable for service and distribution expenses (Note
   2).....................................................          361,364
  Payable for investment management and administration
   fees (Note 2)..........................................          338,404
  Payable for printing and postage expenses...............          151,751
  Payable for transfer agent fees (Note 2)................           83,499
  Payable for professional fees...........................           33,962
  Payable for registration and filing fees (Note 2).......           31,146
  Payable for custodian fees (Note 1).....................           25,818
  Distribution payable....................................           19,666
  Payable for fund accounting fees (Note 2)...............           11,792
  Payable for Directors' fees and expenses (Note 2).......            5,451
  Other accrued expenses..................................            3,944
  Collateral for securities loaned (Note 1)...............       43,729,013
                                                               ------------
    Total liabilities.....................................      105,235,828
                                                               ------------
Net assets................................................     $546,459,599
                                                               ------------
                                                               ------------
Class A:
Net asset value and redemption price per share
 ($188,164,713 DIVIDED BY 18,225,463 shares
 outstanding).............................................     $      10.32
                                                               ------------
                                                               ------------
Maximum offering price per share (100/95.25 of
 $10.32) *................................................     $      10.83
                                                               ------------
                                                               ------------
Class B:+
Net asset value and offering price per share ($357,852,132
 DIVIDED BY 34,647,303 shares outstanding)................     $      10.33
                                                               ------------
                                                               ------------
Advisor Class:
Net asset value, offering price per share, and redemption
 price per share ($442,754 DIVIDED BY 42,881 shares
 outstanding).............................................     $      10.33
                                                               ------------
                                                               ------------
Net assets consist of:
  Paid in capital (Note 4)................................     $697,904,342
  Accumulated net investment loss.........................          (68,169)
  Accumulated net realized loss on investments and foreign
   currency transactions..................................     (152,991,131)
  Net unrealized depreciation on translation of assets and
   liabilities in foreign currencies......................       (2,795,778)
  Net unrealized appreciation of investments..............        4,410,335
                                                               ------------
Total -- representing net assets applicable to capital
 shares outstanding.......................................     $546,459,599
                                                               ------------
                                                               ------------
<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.
 
                  Statement of Additional Information Page 67
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                            STATEMENT OF OPERATIONS
 
                          Year ended October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>              <C>
Investment income: (Note 1)
  Interest income (net of foreign withholding tax of
   $181,612)..................................................     $ 65,875,609
                                                                   ------------
    Total investment income...................................       65,875,609
                                                                   ------------
Expenses:
  Service and distribution expenses: (Note 2)
    Class A..................................     $    746,208
    Class B..................................        3,820,587        4,566,795
                                                  ------------
  Investment management and administration fees (Note 2)......        4,293,053
  Transfer agent fees (Note 2)................................        1,218,500
  Custodian fees (Note 1).....................................          318,141
  Printing and postage expenses...............................          289,500
  Fund accounting fees (Note 2)...............................          150,989
  Registration and filing fees................................          123,758
  Audit fees..................................................           64,970
  Legal fees..................................................           36,500
  Directors' fees and expenses (Note 2).......................           20,950
  Insurance expenses..........................................            8,785
                                                                   ------------
    Total expenses before reductions..........................       11,091,941
                                                                   ------------
      Expense reductions (Note 1).............................         (135,405)
                                                                   ------------
    Total net expenses........................................       10,956,536
                                                                   ------------
Net investment income.........................................       54,919,073
                                                                   ------------
Net realized and unrealized gain (loss) on
investments and foreign currencies: (Note 1)
  Net realized loss on investments...........      (69,013,143)
  Net realized loss on foreign currency
   transactions..............................      (13,662,464)
                                                  ------------
    Net realized loss during the year.........................      (82,675,607)
  Net change in unrealized depreciation on
   translation of assets and liabilities in
   foreign currencies........................       (3,747,114)
  Net change in unrealized appreciation of
   investments...............................       35,939,954
                                                  ------------
    Net unrealized appreciation during the year...............       32,192,840
                                                                   ------------
Net realized and unrealized loss on investments and foreign
 currencies...................................................      (50,482,767)
                                                                   ------------
Net increase in net assets resulting from operations..........     $  4,436,306
                                                                   ------------
                                                                   ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 68
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                       STATEMENT OF CHANGES IN NET ASSETS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                     YEAR ENDED             YEAR ENDED
                                                  OCTOBER 31, 1995       OCTOBER 31, 1994
                                                  -----------------      -----------------
<S>                                               <C>                    <C>
Increase (Decrease) in net assets
Operations:
  Net investment income......................       $  54,919,073          $  47,861,136
  Net realized loss on investments and
   foreign currency transactions.............         (82,675,607)           (79,354,248)
  Net change in unrealized depreciation on
   translation of assets and liabilities in
   foreign currencies........................          (3,747,114)                (9,380)
  Net change in unrealized appreciation
   (depreciation) of investments.............          35,939,954            (66,692,413)
                                                  -----------------      -----------------
    Net increase (decrease) in net assets
     resulting from operations...............           4,436,306            (98,194,905)
                                                  -----------------      -----------------
Class A:
Distributions to shareholders: (Note 1)
  From net investment income.................         (16,844,112)           (21,322,221)
  From net realized gain on investments......                  --             (8,450,873)
  Return of capital..........................            (852,171)            (4,442,690)
Class B:
Distributions to shareholders: (Note 1)
  From net investment income.................         (27,777,018)           (29,594,068)
  From net realized gain on investments......                  --            (10,411,111)
  Return of capital..........................          (1,405,284)            (5,633,875)
Advisor Class:
Distributions to shareholders: (Note 1)
  From net investment income.................             (14,952)                    --
  Return of capital..........................                (756)                    --
                                                  -----------------      -----------------
    Total distributions......................         (46,894,293)           (79,854,838)
                                                  -----------------      -----------------
Capital share transactions: (Note 4)
  Increase from capital shares sold and
   reinvested................................         194,343,201            654,688,923
  Decrease from capital shares repurchased...        (339,216,716)          (341,148,524)
                                                  -----------------      -----------------
    Net increase (decrease) from capital
     share transactions......................        (144,873,515)           313,540,399
                                                  -----------------      -----------------
Total increase (decrease) in net assets......        (187,331,502)           135,490,656
Net assets:
  Beginning of year..........................         733,791,101            598,300,445
                                                  -----------------      -----------------
  End of year................................       $ 546,459,599          $ 733,791,101
                                                  -----------------      -----------------
                                                  -----------------      -----------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 69
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
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,
                                          -------------------------------------------------------------
                                            1995(E)       1994        1993(E)       1992        1991
                                          -----------  -----------  -----------  ----------  ----------
<S>                                       <C>          <C>          <C>          <C>         <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $    10.88   $    13.61   $    11.25   $   10.91   $   11.20
                                          -----------  -----------  -----------  ----------  ----------
Income from investment operations:
  Net investment income.................        0.97         0.79         0.96        0.86        0.84**
  Net realized and unrealized gain
   (loss) on investments................       (0.69)       (2.14)        2.85        0.31       (0.02)
                                          -----------  -----------  -----------  ----------  ----------
    Net increase (decrease) from
     investment operations..............        0.28        (1.35)        3.81        1.17        0.82
                                          -----------  -----------  -----------  ----------  ----------
Distributions to shareholders:
  From net investment income............       (0.80)       (0.79)       (0.96)      (0.83)      (0.60)
  From net realized gain on
   investments..........................          --        (0.38)       (0.37)         --       (0.51)
  Return of capital.....................       (0.04)       (0.21)          --          --          --
  From sources other than net investment
   income...............................          --           --        (0.12)         --          --
                                          -----------  -----------  -----------  ----------  ----------
    Total distributions.................       (0.84)       (1.38)       (1.45)      (0.83)      (1.11)
                                          -----------  -----------  -----------  ----------  ----------
Net asset value, end of period..........  $    10.32   $    10.88   $    13.61   $   11.25   $   10.91
                                          -----------  -----------  -----------  ----------  ----------
                                          -----------  -----------  -----------  ----------  ----------
Total investment return (c).............        3.06%      (10.44)%       37.0%       11.1%        7.7%
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  188,165   $  275,241   $  287,870   $  83,849   $  55,967
Ratio of net investment income to
 average net assets.....................        9.64%        6.74%         7.2%        7.6%        7.2%**
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......        1.42%        1.40%         1.7%        1.8%        1.9%**
  Without expense reductions............        1.45%          --%*         --%*        --%*        --%*
Ratio of interest expense to average net
 assets.................................         N/A         0.10%         N/A         N/A         N/A
Portfolio turnover rate++++.............         238%         583%         310%        418%        630%
</TABLE>
 
- ----------------
 
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B 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.
(a)  Annualized.
(b)  Not annualized.
(c)  Total investment return does not include sales charges.
(d)  Ratios not meaningful due to short period of operation of Class B
     shares.
(e)  These selected per share data were calculated based upon weighted
     average shares outstanding during the period.
  *  Calculation of "Ratio of expenses to average net assets" was made
     without considering the effect of expense reductions, if any.
 **  Includes reimbursement by LGT Asset Management, Inc. of Fund operating
     expenses of $0.01 for the year ended October 31, 1991. Without such
     reimbursement, the expense ratio would have been 1.92% and the ratio
     of net investment income to average net asssets would have been 7.16%
     for the year ended October 31, 1991.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 70
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                         FINANCIAL HIGHLIGHTS (CONT'D)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
total investment return, ratios and supplemental data. This information has been
derived from information provided in the financial statements.
 
<TABLE>
<CAPTION>
                                                                 CLASS B++                             ADVISOR
                                          -------------------------------------------------------     CLASS+++
                                                                                                    -------------
                                                       YEAR ENDED                OCTOBER 22, 1992   JUNE 1, 1995
                                                      OCTOBER 31,                       TO               TO
                                          ------------------------------------     OCTOBER 31,       OCTOBER 31,
                                           1995(E)       1994        1993(E)           1992            1995(E)
                                          ---------   ----------   -----------   ----------------   -------------
<S>                                       <C>         <C>          <C>           <C>                <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $  10.88    $  13.60     $  11.24          $11.36          $  10.32
                                          ---------   ----------   -----------      -------         -------------
Income from investment operations:
  Net investment income.................      0.91        0.73         0.89            0.01              0.41
  Net realized and unrealized gain
   (loss) on investments................     (0.69)      (2.14)        2.85           (0.13)            (0.04)
                                          ---------   ----------   -----------      -------         -------------
    Net increase (decrease) from
     investment operations..............      0.22       (1.41)        3.74           (0.12)             0.37
                                          ---------   ----------   -----------      -------         -------------
Distributions to shareholders:
  From net investment income............     (0.73)      (0.72)       (0.89)             --             (0.34)
  From net realized gain on
   investments..........................        --       (0.38)       (0.37)             --                --
  Return of capital.....................     (0.04)      (0.21)          --              --             (0.02)
  From sources other than net investment
   income...............................        --          --        (0.12)             --                --
                                          ---------   ----------   -----------      -------         -------------
    Total distributions.................     (0.77)      (1.31)       (1.38)             --             (0.36)
                                          ---------   ----------   -----------      -------         -------------
Net asset value, end of period..........  $  10.33    $  10.88     $  13.60          $11.24          $  10.33
                                          ---------   ----------   -----------      -------         -------------
                                          ---------   ----------   -----------      -------         -------------
Total investment return (c).............      2.48%     (11.02)%       36.2%           (1.1)%(b)         3.72%(b)
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $357,852    $458,550     $310,431          $  533          $    443
Ratio of net investment income to
 average net assets.....................      8.99%       6.09%         6.5%            N/A(d)           9.99%(a)
Ratio of expenses to average net assets:
  With expense reductions (Note 1)......      2.07%       2.05%         2.4%            N/A(d)           1.07%(a)
  Without expense reductions............      2.10%         --%*         --%*            --%*            1.10%(a)
Ratio of interest expense to average net
 assets.................................       N/A        0.10%         N/A             N/A               N/A
Portfolio turnover rate++++.............       238%        583%         310%            418%              238%
</TABLE>
 
- ----------------
 
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B 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.
(a)  Annualized.
(b)  Not annualized.
(c)  Total investment return does not include sales charges.
(d)  Ratios not meaningful due to short period of operation of Class B
     shares.
(e)  These selected per share data were calculated based upon weighted
     average shares outstanding during the period.
  *  Calculation of "Ratio of expenses to average net assets" was made
     without considering the effect of expense reductions, if any.
 **  Includes reimbursement by LGT Asset Management, Inc. of Fund operating
     expenses of $0.01 for the year ended October 31, 1991. Without such
     reimbursement, the expense ratio would have been 1.92% and the ratio
     of net investment income to average net asssets would have been 7.16%
     for the year ended October 31, 1991.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 71
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
                                    NOTES TO
                              FINANCIAL STATEMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
GT Global Strategic Income Fund ("Fund") is a separate series of G.T. Investment
Funds, Inc. ("Company"). The Company is organized as a Maryland corporation and
is registered under the Investment Company Act of 1940, as amended ("1940 Act"),
as a non-diversified, open-end management investment company. The Company has
twelve series of shares in operation, each series corresponding to a distinct
portfolio of investments.
 
The Fund offers Class A, Class B, and Advisor Class shares, each of which has
equal rights as to assets and voting privileges. Class A and Class B each has
exclusive voting rights with respect to its distribution plan. The Fund
commenced sale of Advisor Class shares on June 1, 1995. Investment income,
realized and unrealized capital gains and losses, and the common expenses of the
Fund 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 Fund. 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 following is a summary of significant accounting policies consistently
followed by the Fund in the preparation of the financial statements. The
policies are in conformity with generally accepted accounting principles.
 
(A)  PORTFOLIO VALUATION
The Fund calculates the net asset value of and completes 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 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 LGT Asset Management, Inc.
("LGT Asset Management") 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 LGT
Asset Management deems it appropriate, prices obtained for the day of valuation
from a bond pricing service will be used. Short-term investments with a maturity
of 60 days or less 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.
 
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.
 
(B)  FOREIGN CURRENCY TRANSLATION
The accounting records of the Fund 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 Fund 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.
 
The Fund does not isolate that portion of the results of operations resulting
from changes in foreign exchange rates on investments from the 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.
 
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
 
                  Statement of Additional Information Page 72
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
between the trade and settlement dates on securities transactions, and the
difference between the amounts of dividends, interest, and foreign withholding
taxes recorded on the Fund'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 year end, resulting from changes in exchange rates.
 
(C)  REPURCHASE AGREEMENTS
With respect to repurchase agreements entered into by the Fund, it is the Fund'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 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 the Fund as an unrealized gain or loss. When the
Forward Contract is closed, the Fund 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 "Statement of Assets and Liabilities." The Fund 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. The Fund 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 the Fund writes a call or put option, an amount equal to the premium
received is included in the Fund'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 last bid prices obtained from brokers. If an option expires on its
stipulated expiration date or if the Fund 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 can write options only on a covered
basis, which, for a call, requires that the portfolio hold the underlying
security and, for a put, requires the Fund to set aside cash, U.S. government
securities, or other liquid, high-grade debt 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 may use options to manage its exposure
to the bond market and to fluctuations in currency values or interest rates.
 
The premium paid by the Fund for the purchase of a call or put option is
included in the Fund'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 has purchased expires on the stipulated
expiration date, the Fund realizes a loss in the amount of the cost of the
option. If the Fund enters into a closing sale transaction, the Fund 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 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 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 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 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 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 the
Fund 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 agrees to receive from or
pay to the broker an amount
 
                  Statement of Additional Information Page 73
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
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 as
unrealized gains or losses. When the contract is closed, the Fund 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 is that the change in value of the underlying securities may
not correlate to the change in value of the contracts. The Fund may use futures
contracts to manage its exposure to the bond 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. The Fund 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 to
subsequently invest at less advantageous prices.
 
(H)  PORTFOLIO SECURITIES LOANED
At October 31, 1995, stocks with an aggregate value of approximately $39,303,687
were on loan to brokers. The loans were secured by cash collateral of
$43,729,013 received by the Fund. For international securities, cash collateral
is received by the Fund 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 the Fund against loaned securities in an 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 each loan. For
the period ended October 31, 1995, the Fund received fees of $135,405 which were
used to reduce the Fund's custodian fees.
 
(I)  TAXES
It is the policy of the Fund 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 Fund 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 Fund currently has a capital loss carryforward of
$151,873,284, of which $77,456,193 expires in 2002 and $74,417,091 expires in
2003.
 
(J)  DISTRIBUTIONS TO SHAREHOLDERS
Distributions to shareholders are recorded by the 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 Fund and timing differences.
 
(K)  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 investments in emerging market
countries may involve greater risks than investments in more developed markets
and the prices 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.
 
(L)  INDEXED SECURITIES
The Fund may invest in indexed securities whose value is linked either directly
or indirectly to changes in foreign currences, 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.
 
(M)  RESTRICTED SECURITIES
The Fund 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.
 
2. RELATED PARTIES
LGT Asset Management is the Fund's investment manager and administrator. The
Fund pays investment management and administration fees to LGT Asset Management
at the annualized rate of 0.725% on the first $500 million of average daily net
assets of the Fund; 0.70% on the next $1 billion;
 
                  Statement of Additional Information Page 74
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
0.675% on the next $1 billion and 0.65% on amounts thereafter. These fees are
computed daily and paid monthly, and are subject to reduction in any year to the
extent that the Fund's expenses (exclusive of brokerage commissions, taxes,
interest, distribution-related expenses and extraordinary expenses) exceed the
most stringent limits prescribed by the laws or regulations of any state in
which the Fund's shares are offered for sale, based on the average total net
asset value of the Fund.
 
GT Global Financial Services, Inc. ("GT Global"), an affiliate of LGT Asset
Management, serves as the Fund's distributor. The Fund offers 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 Fund's 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, 1995, GT Global retained $68,458
of such sales charges. Purchases of Class A Shares exceeding $500,000 may be
subject to a contingent deferred sales charge ("CDSC") upon redemption, in
accordance with the Fund's current prospectus. GT Global collected CDSCs in the
amount of $88,302 for the year ended October 31, 1995. 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 Fund's current
prospectus. For the year ended October 31, 1995, GT Global collected CDSCs in
the amount of $2,355,668. 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 plans of distribution with respect to the Fund's Class A shares
("Class A Plan") and Class B shares ("Class B Plan"), pursuant to which the Fund
reimburses GT Global for a portion of its shareholder servicing and distribution
expenses. Under the Class A Plan, the 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.
 
Pursuant to the Fund's Class B Plan, the 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.
 
LGT Asset Management and GT Global voluntarily have undertaken to limit the
Fund's expenses (exclusive of brokerage commissions, taxes, interest, and
extraordinary expenses) 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. If necessary, this limitation will be effected by waivers
by LGT Asset Management 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 LGT Asset Management or GT Global of portions of the
Fund's other operating expenses.
 
GT Global Investor Services, Inc. ("GT Services"), an affiliate of LGT Asset
Management and GT Global, is the transfer agent of the Fund.
 
Effective May 1, 1995, LGT Asset Management has assumed the role of pricing and
accounting agent for the Fund. The monthly fee for these services to LGT Asset
Management is a percentage, not to exceed 0.03% annually, of the Fund'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 LGT Asset
Management ("GT Funds") and 0.02% to the assets in excess of $5 billion and
dividing the result by the aggregate assets of the GT Funds. For the period
ended October 31, 1995, the Fund paid fund accounting fees of $34,980 to LGT
Asset Management.
 
The Company pays each of its Directors who is not an employee, officer or
director of LGT Asset Management, GT Global or GT Services $5,000 per
 
                  Statement of Additional Information Page 75
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
year plus $300 for each meeting of the board or any committee thereof attended
by the Director.
 
3. PURCHASES AND SALES OF SECURITIES
For the year ended October 31, 1995, purchases and sales of investment
securities by the Fund, other than U.S. government obligations and short-term
investments, aggregated $1,084,339,117 and $1,234,939,423, respectively.
Purchases and sales of U.S. government obligations by the Fund aggregated
$247,139,247 and $184,605,981, respectively.
 
4. CAPITAL SHARES
At October 31, 1995, there were 6,000,000,000 shares of the Company's common
stock authorized, at $0.0001 par value. Of this amount, 200,000,000 were
classified as shares of the Fund; 400,000,000 were classified as shares of GT
Global Government Income Fund; 200,000,000 were classified as shares of GT
Global Health Care Fund; 200,000,000 were classified as shares of GT Global
Emerging Markets 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; 400,000,000 were classified as shares of GT Global
Telecommunications 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; and 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 fourteen series of
the Company and designated as Advisor Class common stock. 1,400,000,000 shares
remain unclassified. Transactions in capital shares of the Fund were as follows:
 
                           CAPITAL SHARE TRANSACTIONS
<TABLE>
<CAPTION>
                                                                                    YEAR ENDED                  YEAR ENDED
                                                                                 OCTOBER 31, 1995            OCTOBER 31, 1994
                                                                            --------------------------  --------------------------
CLASS A:                                                                      SHARES        AMOUNT        SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................   10,413,395  $ 105,118,727   19,809,908  $ 246,272,141
Shares issued in connection with reinvestment of distributions............    1,180,205     11,913,775    1,971,428     23,827,880
                                                                            -----------  -------------  -----------  -------------
                                                                             11,593,600    117,032,502   21,781,336    270,100,021
Shares repurchased........................................................  (18,672,585)  (187,700,412) (17,632,683)  (210,355,215)
                                                                            -----------  -------------  -----------  -------------
Net increase (decrease)...................................................   (7,078,985) $ (70,667,910)   4,148,653  $  59,744,806
                                                                            -----------  -------------  -----------  -------------
                                                                            -----------  -------------  -----------  -------------
 
<CAPTION>
 
                                                                                    YEAR ENDED                  YEAR ENDED
                                                                                 OCTOBER 31, 1995            OCTOBER 31, 1994
                                                                            --------------------------  --------------------------
CLASS B:                                                                      SHARES        AMOUNT        SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................    5,950,544  $  60,333,373   28,502,079  $ 357,951,389
Shares issued in connection with reinvestment of distributions............    1,633,228     16,496,489    2,229,217     26,637,513
                                                                            -----------  -------------  -----------  -------------
                                                                              7,583,772     76,829,862   30,731,296    384,588,902
Shares repurchased........................................................  (15,079,063)  (151,484,130) (11,406,753)  (130,793,309)
                                                                            -----------  -------------  -----------  -------------
Net increase (decrease)...................................................   (7,495,291) $ (74,654,268)  19,324,543  $ 253,795,593
                                                                            -----------  -------------  -----------  -------------
                                                                            -----------  -------------  -----------  -------------
<CAPTION>
 
                                                                                   JUNE 1, 1995
                                                                             (COMMENCEMENT OF SALE OF
                                                                              SHARES) TO OCTOBER 31,
                                                                                       1995
                                                                            --------------------------
ADVISOR CLASS:                                                                SHARES        AMOUNT
- --------------------------------------------------------------------------  -----------  -------------
<S>                                                                         <C>          <C>            <C>          <C>
Shares sold...............................................................       44,461  $     465,129
Shares issued in connection with reinvestment of distributions............        1,535         15,708
                                                                            -----------  -------------
                                                                                 45,996        480,837
Shares repurchased........................................................       (3,115)       (32,174)
                                                                            -----------  -------------
Net increase..............................................................       42,881  $     448,663
                                                                            -----------  -------------
                                                                            -----------  -------------
</TABLE>
 
                  Statement of Additional Information Page 76
<PAGE>
                        GT GLOBAL STRATEGIC INCOME FUND
 
5. WRITTEN OPTIONS:
The Fund's written option contracts activity for the year ended October 31,
1995, was as follows:
 
                      COVERED CALL AND PUT OPTIONS WRITTEN
 
<TABLE>
<CAPTION>
                                                           UNDERLYING
                                                             NOMINAL
                                                             AMOUNT        PREMIUMS
                                                          -------------   ----------
<S>                                                       <C>             <C>
Options outstanding at October 31, 1994.................             0    $       0
Options written.........................................    27,250,000      284,000
Options cancelled in closing purchase transactions
 ($52,000 gain realized)................................   (16,000,000)    (192,000)
Options expired prior to exercise.......................   (11,250,000)     (92,000)
Options exercised.......................................             0            0
                                                          -------------   ----------
Options outstanding at October 31, 1995.................             0    $       0
                                                          -------------   ----------
                                                          -------------   ----------
</TABLE>
 
6. SUBSEQUENT EVENT:
Effective January 1, 1996, as part of a unified corporate identity effort, the
name of the BIL GT Group (of which LGT Asset Management is a member) will be
changed to Liechtenstein Global Trust ("LGT"). The Fund's (or Portfolio's)
investment manager and administrator, currently named G.T. Capital Management,
Inc., will be changed to "LGT Asset Management, Inc.", and G.T. Global Financial
Services, Inc., which serves as the Fund's distributor, will be known as "GT
Global, Inc."
 
                  Statement of Additional Information Page 77
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                                   REPORT OF
                            INDEPENDENT ACCOUNTANTS
 
- --------------------------------------------------------------------------------
 
ANNUAL REPORT
 
To the Shareholders of GT Global High Income Fund and Board of Directors of G.T.
Investment Funds, Inc.:
 
We have audited the accompanying statement of assets and liabilities of GT
Global High Income Fund, one of the funds organized as a series of G.T.
Investment Funds, Inc., as of October 31, 1995, the related statement 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 three years in the period then ended and for the period from October
22, 1992 (commencement of operations) to October 31, 1992. These financial
statements and the financial highlights are the responsibility of the Fund's
management. Our responsibility is to express an opinion on these financial
statements and the 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, 1995 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 position of GT
Global High Income Fund as of October 31, 1995, the results of its operations
for the year then ended, the changes in its net assets for each of the two years
in the period then ended, and the financial highlights for each of the three
years in the period then ended and for the period from October 22, 1992
(commencement of operations) to October 31, 1992, in conformity with generally
accepted accounting principles.
 
                                                        COOPERS & LYBRAND L.L.P.
 
BOSTON, MASSACHUSETTS
DECEMBER 15, 1995
 
                  Statement of Additional Information Page 78
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                              STATEMENT OF ASSETS
                                AND LIABILITIES
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>
Assets:
  Investments in Global High Income Portfolio (cost
   $349,571,820) (Note 1)...........................     $358,680,666
  Receivable for Fund shares sold...................        2,159,244
  Unamortized organizational costs (Note 1).........           60,379
                                                         ------------
    Total assets....................................      360,900,289
                                                         ------------
Liabilities:
  Payable for Fund shares repurchased...............        1,988,431
  Payable for service and distribution expenses
   (Note 2).........................................          216,771
  Payable for printing and postage expenses.........           98,101
  Payable for administration fees (Note 2)..........           76,834
  Payable for transfer agent fees (Note 2)..........           55,188
  Payable for professional fees.....................           26,550
  Payable for registration and filing fees..........           22,725
  Payable for fund accounting fees (Note 2).........            7,738
  Payable for insurance expenses....................            3,452
  Payable for Directors' fees and expenses (Note
   2)...............................................            2,297
  Other accrued expenses............................           39,875
                                                         ------------
    Total liabilities...............................        2,537,962
                                                         ------------
Net assets..........................................     $358,362,327
                                                         ------------
                                                         ------------
Class A:
Net asset value and redemption price per share
 ($142,001,916 DIVIDED BY 12,132,732 shares
 outstanding).......................................     $      11.70
                                                         ------------
                                                         ------------
Maximum offering price per share (100/95.25 of
 $11.70) *..........................................     $      12.28
                                                         ------------
                                                         ------------
Class B:+
Net asset value and offering price per share
 ($214,897,134 DIVIDED BY 18,379,051 shares
 outstanding).......................................     $      11.69
                                                         ------------
                                                         ------------
Advisor Class: (Notes 1 & 3)
Net asset value, offering price per share, and
 redemption price per share ($1,463,277 DIVIDED BY
 124,997 shares outstanding)........................     $      11.71
                                                         ------------
                                                         ------------
Net assets consist of:
  Paid in capital (Note 3)..........................     $408,061,273
  Accumulated net realized loss on investments and
   foreign currency transactions....................      (58,807,792)
  Net unrealized appreciation on translation of
   assets and liabilities in foreign currencies --
   Global High Income Portfolio.....................            6,235
  Net unrealized appreciation of investments --
   Global High Income Portfolio.....................        9,102,611
                                                         ------------
Total -- representing net assets applicable to
 capital shares outstanding.........................     $358,362,327
                                                         ------------
                                                         ------------
<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.
 
                  Statement of Additional Information Page 79
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                            STATEMENT OF OPERATIONS
 
                          Year ended October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>              <C>
Investment income:
  Interest income -- Global High Income Portfolio.............     $ 46,834,087
                                                                   ------------
    Total investment income...................................       46,834,087
                                                                   ------------
Expenses:
  Expenses -- Global High Income Portfolio....................        2,696,978
  Service and distribution expenses: (Note 2)
    Class A..................................     $    486,107
    Class B..................................        2,048,951        2,535,058
                                                  ------------
  Administration fees (Note 2)................................          860,884
  Transfer agent fees (Note 2)................................          657,200
  Printing and postage expenses...............................          202,425
  Registration and filing fees................................          131,000
  Audit fees..................................................           92,260
  Fund accounting fees (Note 2)...............................           79,660
  Legal fees..................................................           32,958
  Amortization of organization costs (Note 1).................           29,802
  Directors' fees and expenses (Note 2).......................           15,950
  Insurance expenses..........................................            7,477
  Other expenses..............................................            1,000
                                                                   ------------
  Total expenses..............................................        7,342,652
                                                                   ------------
Net investment income.........................................       39,491,435
                                                                   ------------
Net realized and unrealized gain (loss) on
investments and foreign currencies:
  Net realized loss on investments -- Global
   High Income Portfolio.....................      (61,405,151)
  Net realized loss on foreign currency
   transactions -- Global High Income
   Portfolio.................................         (707,803)
                                                  ------------
    Net realized loss during the year.........................      (62,112,954)
  Net change in unrealized appreciation on
   translation of assets and liabilities in
   foreign currencies -- Global High Income
   Portfolio.................................             (302)
  Net change in unrealized appreciation of
   investments -- Global High Income
   Portfolio.................................       24,969,833
                                                  ------------
    Net unrealized appreciation during the year...............       24,969,531
                                                                   ------------
Net realized and unrealized loss on investments and foreign
 currencies...................................................      (37,143,423)
                                                                   ------------
Net increase in net assets resulting from operations..........     $  2,348,012
                                                                   ------------
                                                                   ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 80
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                       STATEMENT OF CHANGES IN NET ASSETS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                     YEAR ENDED             YEAR ENDED
                                                  OCTOBER 31, 1995       OCTOBER 31, 1994
                                                  -----------------      -----------------
<S>                                               <C>                    <C>
Increase (Decrease) in net assets
Operations:
  Net investment income......................       $  39,491,435          $  23,589,347
  Net realized loss on investments and
   foreign currency transactions -- Global
   High Income Portfolio.....................         (62,112,954)              (170,977)
  Net change in unrealized appreciation
   (depreciation) on translation of assets
   and liabilities in foreign currencies --
   Global High Income Portfolio..............                (302)              (517,677)
  Net change in unrealized appreciation
   (depreciation) of investments -- Global
   High Income Portfolio.....................          24,969,833            (39,147,066)
                                                  -----------------      -----------------
    Net increase (decrease) in net assets
     resulting from operations...............           2,348,012            (16,246,373)
                                                  -----------------      -----------------
Class A:
Distributions to shareholders: (Note 1)
  From net investment income.................         (12,528,224)           (11,509,080)
  From net realized gain on investments......            (474,126)            (3,211,912)
  In excess of net realized gain on
   investments...............................                  --             (2,599,203)
  Return of capital..........................            (737,846)                    --
Class B:
Distributions to shareholders: (Note 1)
  From net investment income.................         (17,274,071)           (12,080,267)
  From net realized gain on investments......            (622,059)            (3,255,413)
  In excess of net realized gain on
   investments...............................                  --             (2,634,405)
  Return of capital..........................          (1,015,555)                    --
Advisor Class:
Distributions to shareholders: (Note 1)
  From net investment income.................             (54,186)                    --
  Return of capital..........................              (3,075)                    --
                                                  -----------------      -----------------
    Total distributions......................         (32,709,142)           (35,290,280)
                                                  -----------------      -----------------
Capital share transactions: (Note 3)
  Increase from capital shares sold and
   reinvested................................         418,666,106            644,572,576
  Decrease from capital shares repurchased...        (430,339,278)          (462,844,981)
                                                  -----------------      -----------------
    Net increase (decrease) from capital
     share transactions......................         (11,673,172)           181,727,595
                                                  -----------------      -----------------
Total increase (decrease) in net assets......         (42,034,302)           130,190,942
Net assets:
  Beginning of year..........................         400,396,629            270,205,687
                                                  -----------------      -----------------
  End of year................................       $ 358,362,327          $ 400,396,629
                                                  -----------------      -----------------
                                                  -----------------      -----------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 81
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                              FINANCIAL HIGHLIGHTS
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
total investment return, ratios and supplemental data. This information has been
derived from information provided in the financial statements.
 
<TABLE>
<CAPTION>
                                                                 CLASS A+
                                          -------------------------------------------------------
                                                                                   OCTOBER 22,
                                                                                       1992
                                                                                  (COMMENCEMENT
                                                                                  OF OPERATIONS)
                                                 YEAR ENDED OCTOBER 31,                 TO
                                          -------------------------------------    OCTOBER 31,
                                             1995        1994(e)      1993(e)          1992
                                          -----------  -----------  -----------  ----------------
<S>                                       <C>          <C>          <C>          <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $    12.56   $    14.92   $    11.43      $   11.43
                                          -----------  -----------  -----------       -------
Income from investment operations:
  Net investment income.................        1.35         0.94         0.78             --
  Net realized and unrealized gain
   (loss) on investments................       (1.09)       (1.87)        3.92             --
                                          -----------  -----------  -----------       -------
    Net increase (decrease) from
     investment operations..............        0.26        (0.93)        4.70             --
                                          -----------  -----------  -----------       -------
Distributions to shareholders:
  From net investment income............       (1.03)       (0.94)       (0.78)            --
  From net realized gain on
   investments..........................       (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.................       (1.12)       (1.43)       (1.21)            --
                                          -----------  -----------  -----------       -------
Net asset value, end of period..........  $    11.70   $    12.56   $    14.92      $   11.43
                                          -----------  -----------  -----------       -------
                                          -----------  -----------  -----------       -------
Total investment return (d).............        2.81%       (6.45)%       43.6%            -- %(a)
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  142,002   $  167,974   $  143,171      $     207
Ratio of net investment income to
 average net assets.....................       11.85%         7.0%         6.4%           N/A(c)
Ratio of expenses to average net
 assets.................................        1.75%        1.57%         2.2%           N/A(c)
Ratio of interest expense to average net
 assets.................................         N/A         0.22%         N/A            N/A
</TABLE>
 
- ----------------
 
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B shares.
+++  Commencing June 1, 1995, the Fund began offering Advisor class shares.
(a)  Not annualized.
(b)  Annualized.
(c)  Ratios not meaningful due to short period of operation.
(d)  Total investment return does not include sales charges.
(e)  These selected per share data were calculated based upon weighted
     average shares during the year.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 82
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                         FINANCIAL HIGHLIGHTS (CONT'D)
 
- --------------------------------------------------------------------------------
Contained below is per share operating performance data for a share outstanding,
total investment return, ratios and supplemental data. This information has been
derived from information provided in the financial statements.
 
<TABLE>
<CAPTION>
                                                                 CLASS B++
                                          -------------------------------------------------------
                                                                                   OCTOBER 22,        ADVISOR
                                                                                       1992          CLASS+++
                                                                                  (COMMENCEMENT    -------------
                                                                                  OF OPERATIONS)   JUNE 1, 1995
                                                 YEAR ENDED OCTOBER 31,                 TO              TO
                                          -------------------------------------    OCTOBER 31,      OCTOBER 31,
                                             1995        1994(e)      1993(e)          1992            1995
                                          -----------  -----------  -----------  ----------------  -------------
<S>                                       <C>          <C>          <C>          <C>               <C>
Per Share Operating Performance:
Net asset value, beginning of period....  $    12.56   $    14.90   $    11.43      $   11.43        $   11.44
                                          -----------  -----------  -----------       -------      -------------
Income from investment operations:
  Net investment income.................        1.27         0.86         0.70             --             0.57
  Net realized and unrealized gain
   (loss) on investments................       (1.09)       (1.85)        3.90             --             0.17
                                          -----------  -----------  -----------       -------      -------------
    Net increase (decrease) from
     investment operations..............        0.18        (0.99)        4.60             --             0.74
                                          -----------  -----------  -----------       -------      -------------
Distributions to shareholders:
  From net investment income............       (0.96)       (0.86)       (0.70)            --            (0.44)
  From net realized gain on
   investments..........................       (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)          --           --             --            (0.03)
                                          -----------  -----------  -----------       -------      -------------
    Total distributions.................       (1.05)       (1.35)       (1.13)            --            (0.47)
                                          -----------  -----------  -----------       -------      -------------
Net asset value, end of period..........  $    11.69   $    12.56   $    14.90      $   11.43        $   11.71
                                          -----------  -----------  -----------       -------      -------------
                                          -----------  -----------  -----------       -------      -------------
Total investment return (d).............        2.07%       (6.99)%       42.6%            -- %(a)        6.54%(a)
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  214,897   $  232,423   $  127,035      $      53        $   1,463
Ratio of net investment income to
 average net assets.....................       11.20%        6.35%         5.8%           N/A(c)         12.20%(b)
Ratio of expenses to average net
 assets.................................        2.40%        2.22%         2.8%           N/A(c)          1.40%(b)
Ratio of interest expense to average net
 assets.................................         N/A         0.22%         N/A            N/A              N/A
</TABLE>
 
- ----------------
 
  +  All capital shares issued and outstanding as of October 21, 1992 were
     reclassified as Class A shares.
 ++  Commencing October 22, 1992, the Fund began offering Class B shares.
+++  Commencing June 1, 1995, the Fund began offering Advisor class shares.
(a)  Not annualized.
(b)  Annualized.
(c)  Ratios not meaningful due to short period of operation.
(d)  Total investment return does not include sales charges.
(e)  These selected per share data were calculated based upon weighted
     average shares during the year.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 83
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
 
                                    NOTES TO
                              FINANCIAL STATEMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
GT Global High Income Fund ("Fund") is a separate series of G.T. Investment
Funds, Inc. ("Company"). The Company is organized as a Maryland corporation and
is registered under the Investment Company Act of 1940, as amended ("1940 Act"),
as a non-diversified, open-end management investment company. The Company has
twelve series of shares in operation, each series corresponding to a distinct
portfolio of investments. The Fund invests substantially all of its investable
assets in Global High Income Portfolio ("Portfolio"), which is registered as an
open-end management investment company under the 1940 Act and has investment
objectives, policies and limitations substantially identical to those of the
Fund. The value of the Fund's investment in the Portfolio reflects the Fund's
proportionate interest in the net assets of the Portfolio. The financial
statements of the Portfolio, including the Portfolio of Investments, are
included elsewhere in this Report and should be read in conjunction with the
Fund's financial statements.
 
The Fund offers Class A, Class B, and Advisor Class shares, each of which has
equal rights as to assets and voting privileges. Class A and Class B each has
exclusive voting rights with respect to its distribution plan. The Fund
commenced sale of Advisor Class shares on June 1, 1995. Investment income,
realized and unrealized capital gains and losses, and the common expenses of the
Fund 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 Fund. 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 following is a summary of significant accounting policies consistently
followed by the Fund in the preparation of the financial statements. The
policies are in conformity with generally accepted accounting principles.
 
(A)  INVESTMENT VALUATION
Valuation of securities and other investment practices by the Portfolio are
discussed in Note 1 of the Portfolio's Notes to Financial Statements which are
included elsewhere in this Report.
 
(B)  TAXES
It is the policy of the Fund 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 Fund 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 Fund currently has a capital loss carryforward of
$54,325,425 which expires in 2003.
 
(C)  DISTRIBUTIONS TO SHAREHOLDERS
Distributions to shareholders are recorded by the 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 Portfolio and timing differences.
 
(D)  DEFERRED ORGANIZATIONAL EXPENSES
Expenses incurred by the Fund in connection with its organization, its initial
registration with the Securities and Exchange Commission and with various states
and the initial public offering of its shares aggregated $149,100. These
expenses are being amortized on a straightline basis over a five-year period.
 
2. RELATED PARTIES
LGT Asset Management, Inc. ("LGT Asset Management") is the Fund's administrator.
The Fund pays administration fees to LGT Asset Management at the annualized rate
of 0.25% of the Fund's average daily net assets. These fees are computed daily
and paid monthly, and are subject to reduction in any year to the extent that
the Fund's expenses (exclusive of brokerage commissions, taxes, interest,
distribution-related expenses and extraordinary expenses) exceed the most
stringent limits prescribed by the laws or regulations of any state in which the
Fund's shares are offered for sale, based on the average total net asset value
of the Fund.
 
GT Global Financial Services, Inc. ("GT Global"), an affiliate of LGT Asset
Management, serves as the
 
                  Statement of Additional Information Page 84
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
Fund's distributor. The Fund offers 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 Fund's 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, 1995, GT Global retained $67,403
of such sales charges. Purchases of Class A shares exceeding $500,000 may be
subject to a contingent deferred sales charge ("CDSC") upon redemption, in
accordance with the Fund's current prospectus. GT Global collected CDSCs in the
amount of $61,729 for the year ended October 31, 1995. 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 Fund's current
prospectus. For the year ended October 31, 1995, GT Global collected CDSCs in
the amount of $1,276,245. In addition, GT Global makes on-going 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 Fund's Class A shares
("Class A Plan") and Class B shares ("Class B Plan"), pursuant to which the Fund
reimburses GT Global for a portion of its shareholder servicing and distribution
expenses. Under the Class A Plan, the 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.
 
Pursuant to the Fund's Class B Plan, the 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.
 
LGT Asset Management and GT Global voluntarily have undertaken to limit the
Fund's expenses (exclusive of brokerage commissions, taxes, interest, and
extraordinary 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 LGT Asset Management of administration fees, waivers by GT Global of payments
under the Class A Plan and/or Class B Plan and/or reimbursements by LGT Asset
Management or GT Global of portions of the Fund's other operating expenses.
 
GT Global Investor Services, Inc. ("GT Services"), an affiliate of LGT Asset
Management and GT Global, is the transfer agent of the Fund.
 
Effective May 1, 1995, LGT Asset Management has assumed the role of pricing and
accounting agent for the Fund. The monthly fee for these services to LGT Asset
Management is a percentage, not to exceed 0.03% annually, of the Fund'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 LGT Asset
Management ("GT Funds") and 0.02% to the assets in excess of $5 billion and
dividing the result by the aggregate assets of the GT Funds. For the period
ended October 31, 1995, the Fund paid fund accounting fees of $22,563 to LGT
Asset Management.
 
The Company pays each of its Directors who is not an employee, officer or
director of LGT Asset Management, GT Global or GT Services $5,000 per year plus
$300 for each meeting of the board or any committee thereof attended by the
Director.
 
3. CAPITAL SHARES
At October 31, 1995, there were 6,000,000,000 shares of the Company's common
stock authorized, at $0.0001 par value. Of this amount, 200,000,000 were
classified as shares of the Fund; 400,000,000 were classified as shares of GT
Global Government Income Fund; 200,000,000 were classified as shares of GT
Global Health Care Fund; 200,000,000 were classified as shares of GT Global
Emerging Markets Fund; 200,000,000 were classified as shares of GT Global
Currency Fund (inactive); 200,000,000 were classified
 
                  Statement of Additional Information Page 85
<PAGE>
                           GT GLOBAL HIGH INCOME FUND
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; 400,000,000 were classified as
shares of GT Global Telecommunications Fund; 200,000,000 were classified as
shares of GT Global Strategic 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; and 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 fourteen series of
the Company and designated as Advisor Class common stock. 1,400,000,000 shares
remain unclassified. Transactions in capital shares of the Fund were as follows:
 
                           CAPITAL SHARE TRANSACTIONS
<TABLE>
<CAPTION>
                                        YEAR ENDED                    YEAR ENDED
                                     OCTOBER 31, 1995              OCTOBER 31, 1994
                                ---------------------------   ---------------------------
CLASS A:                          SHARES         AMOUNT         SHARES         AMOUNT
- ------------------------------  -----------   -------------   -----------   -------------
<S>                             <C>           <C>             <C>           <C>
Shares sold...................   25,003,318   $ 280,486,242    25,772,262   $ 337,096,408
Shares issued in connection
  with reinvestment of
  distributions...............      682,971       7,764,542       908,473      12,121,929
                                -----------   -------------   -----------   -------------
                                 25,686,289     288,250,784    26,680,735     349,218,337
Shares repurchased............  (26,927,729)   (301,862,112)  (22,900,774)   (305,091,442)
                                -----------   -------------   -----------   -------------
Net increase (decrease).......   (1,241,440)  $ (13,611,328)    3,779,961   $  44,126,895
                                -----------   -------------   -----------   -------------
                                -----------   -------------   -----------   -------------
 
<CAPTION>
                                        YEAR ENDED                    YEAR ENDED
                                     OCTOBER 31, 1995              OCTOBER 31, 1994
                                ---------------------------   ---------------------------
CLASS B:                          SHARES         AMOUNT         SHARES         AMOUNT
- ------------------------------  -----------   -------------   -----------   -------------
<S>                             <C>           <C>             <C>           <C>
Shares sold...................   10,582,935   $ 119,426,735    21,671,430   $ 286,814,947
Shares issued in connection
  with reinvestment of
  distributions...............      826,797       9,372,626       646,902       8,539,292
                                -----------   -------------   -----------   -------------
                                 11,409,732     128,799,361    22,318,332     295,354,239
Shares repurchased............  (11,542,431)   (128,317,008)  (12,332,246)   (157,753,539)
                                -----------   -------------   -----------   -------------
Net increase (decrease).......     (132,699)  $     482,353     9,986,086   $ 137,600,700
                                -----------   -------------   -----------   -------------
                                -----------   -------------   -----------   -------------
</TABLE>
 
<TABLE>
<CAPTION>
                                       JUNE 1, 1995
                                 (COMMENCEMENT OF SALE OF
                                SHARES) TO OCTOBER 31, 1995
                                ---------------------------
ADVISOR CLASS:                    SHARES         AMOUNT
- ------------------------------  -----------   -------------
<S>                             <C>           <C>
Shares sold...................      133,919   $   1,558,699
Shares issued in connection
  with reinvestment of
  distributions...............        4,923          57,262
                                -----------   -------------
                                    138,842       1,615,961
Shares repurchased............      (13,845)       (160,158)
                                -----------   -------------
Net increase..................      124,997   $   1,455,803
                                -----------   -------------
                                -----------   -------------
</TABLE>
 
4. SUBSEQUENT EVENT:
Effective January 1, 1996, as part of a unified corporate identity effort, the
name of the BIL GT Group (of which LGT Asset Management is a member) will be
changed to Liechtenstein Global Trust ("LGT"). The Fund's (or Portfolio's)
investment manager and administrator, currently named LGT Asset Management,
Inc., will be changed to "LGT Asset Management, Inc.," and G.T. Global Financial
Services, Inc., which serves as the Fund's distributor, will be known as "GT
Global, Inc."
 
- --------------
FEDERAL TAX INFORMATION (UNAUDITED):
 
Pursuant to Section 852 of the Internal Revenue Code, the Fund designates
$334,343 as capital gain dividends for the fiscal year ended October 31, 1995.
 
                  Statement of Additional Information Page 86
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                                   REPORT OF
                            INDEPENDENT ACCOUNTANTS
 
- --------------------------------------------------------------------------------
 
ANNUAL REPORT
 
To the Shareholders and Board of Trustees of Global High Income Portfolio:
 
We have audited the accompanying statement of assets and liabilities of Global
High Income Portfolio, including the portfolio of investments as of October 31,
1995, the related statement 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 supplementary data for each of the three years in the period then
ended and for the period from October 22, 1992 (commencement of operations) to
October 31, 1992. These financial statements and the supplementary data are the
responsibility of the Portfolio's management. Our responsibility is to express
an opinion on these financial statements and the supplementary data 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
supplementary data 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, 1995 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 supplementary data referred to
above present fairly, in all material respects, the financial position of Global
High Income Portfolio as of October 31, 1995, the results of its operations for
the year then ended, the changes in its net assets for each of the two years in
the period then ended, and the supplementary data for each of the three years in
the period then ended and for the period from October 22, 1992 (commencement of
operations) to October 31, 1992, in conformity with generally accepted
accounting principles.
 
                                                        COOPERS & LYBRAND L.L.P.
BOSTON, MASSACHUSETTS
DECEMBER 15, 1995
 
                  Statement of Additional Information Page 87
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                            PORTFOLIO OF INVESTMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                    Currency       Amount          Value        Assets {d}
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (70.7%)
  Argentina (10.7%)
    Republic of Argentina:
      Par Bond, 5% due 3/31/23++ .........................   USD           35,000,000   $ 16,712,500         4.7
      Discount Bond, 6.875% due 3/31/23+ .................   USD           17,100,000      9,640,125         2.7
      BOCON Pre 2, 5.83% due 4/1/01[.] + .................   USD            5,676,301      4,631,910         1.3
      8.375% due 12/20/03 ................................   USD            6,240,000      4,539,600         1.3
      Floating Rate Bond, 6.8125% due 3/31/05+ ...........   USD            4,500,000      2,666,250         0.7
  Brazil (13.2%)
    Federal Republic of Brazil:
      Par Z-L Bond, 4.25% due 4/15/24++ ..................   USD           32,400,000     15,714,000         4.4
      C Bond, 4% due 4/15/14 (Effective rate at year end
       is 6.035%, including "payment-in-kind" shares.)[.]
       ++ ................................................   USD           26,530,200     13,497,239         3.8
      New Money Bond Series L, 6.875% due 4/15/09+ .......   USD           10,500,000      6,168,750         1.7
      Debt Conversion Bond Series L, 6.875% due
       4/15/12+ ..........................................   USD           11,000,000      6,036,250         1.7
      IDU Notes, 6.6875% due 1/1/01+ .....................   USD            6,536,000      5,580,110         1.6
  Bulgaria (4.8%)
    Bulgaria:
      Discount Bond Series A, 6.75% due 7/28/24 -
       Euro+  ............................................   USD           13,032,000      6,564,870         1.8
      Front Loaded Interest Reduction Bond Series A, 2%
       due 7/28/12++ .....................................   USD           21,000,000      5,880,000         1.6
      Discount Bond Series A, 6.75% due 7/28/24 - 144A+
       {.} ...............................................   USD            7,468,426      3,762,220         1.0
    Discount Bond Series B, 7.25% due 7/28/24 - Euro+ ....   USD            3,000,000      1,518,750         0.4
  Costa Rica (2.4%)
    Banco Central de Costa Rica:
      Interest Bond Series A, 6.76563% due 5/21/05+ ......   USD            8,876,432      7,056,763         2.0
      Principal Bond Series A, 6.25% due 5/21/10 .........   USD            2,700,000      1,579,500         0.4
  Ecuador (4.1%)
    Ecuador:
      Par Bond, 3% due 2/28/25 - 144A++ {.} ..............   USD           17,000,000      5,652,500         1.6
      Par Bond, 3% due 2/28/25 - Euro++ ..................   USD           10,750,000      3,574,375         1.0
      Past Due Interest Bond, 3% due 2/27/15 - 144A
       (Effective rate at year end is 4.27%, including
       "payment-in-kind" shares.)[.] + {.}  ..............   USD            8,883,865      2,953,885         0.8
      Discount Bond, 6.8125% due 2/28/25 - Euro+ .........   USD            3,500,000      1,741,250         0.5
      Earned Interest Bond, 6.75% due 12/21/04 - 144A+
       {.} ...............................................   USD            1,330,875        805,179         0.2
  Mexico (8.3%)
    United Mexican States:
      Par Bond Series B, 6.25% due 12/31/19+/+ ...........   USD           30,250,000     17,828,594         5.0
      Par Bond Series A, 6.25% due 12/31/19+/+ ...........   USD           15,500,000      9,135,313         2.5
      Discount Bond Series A, 6.76563% due 12/31/19+ +/
       + .................................................   USD            4,500,000      3,015,000         0.8
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 88
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                    Currency       Amount          Value        Assets {d}
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Government & Government Agency Obligations (Continued)
  Nigeria (3.9%)
    Central Bank of Nigeria, Par Bond, 6.25% due
     11/15/20++ +/+ ......................................   USD           28,750,000   $ 13,458,594         3.7
    Nigeria Promissory Notes, 5.092% due 1/5/10++ ........   USD            2,500,000        912,500         0.2
  Panama (0.5%)
    Panama, Interest Reduction Bond, When-issued - 3.5%,
     due 6/30/14 - 144A++ {.} -/- ........................   USD            4,700,000      1,809,500         0.5
  Philippines (3.9%)
    Central Bank of the Philippines:
      Par Bond Series B, 5.75% due 12/1/17++ .............   USD           16,000,000     11,740,000         3.3
      Front Loaded Interest Reduction Bond Series B, 5%
       due 6/1/08++ ......................................   USD            3,000,000      2,295,000         0.6
  Poland (10.1%)
    Poland:
      Past Due Interest Bond, 3.75% due 10/27/14 - 144A++
       {.} ...............................................   USD           25,162,000     15,914,965         4.4
      Discount Bond, 6.875% due 10/27/24 - Euro+ .........   USD           19,967,000     15,299,714         4.3
      Past Due Interest Bond, 3.75% due 10/27/14 -
       Euro++ ............................................   USD            8,000,000      5,160,000         1.4
  South Africa (3.2%)
    Republic of South Africa:
      11.5% due 5/30/00  .................................   ZAR           30,050,000      7,442,247         2.1
      9.625% due 12/15/99 ................................   USD            3,600,000      3,834,000         1.1
  Uruguay (1.5%)
    Banco Central del Uruguay:
      New Money Bond, 6.875% due 2/18/06+ ................   USD            3,750,000      2,718,750         0.8
      Par Bond Series A, 6.75% due 2/18/21+/+ ............   USD            2,290,000      1,431,250         0.4
      Par Bond Series B, 6.75% due 2/18/21+/+ ............   USD            1,500,000        937,500         0.3
  Venezuela (4.1%)
    Republic of Venezuela:
      Discount Bond Series A, 6.6875% due 3/31/20+ +/+ ...   USD            9,925,000      5,260,250         1.5
      Discount Bond Series B, 6.9375% due 3/31/20+ +/+ ...   USD            7,000,000      3,710,000         1.0
      Par Bond Series A, 6.75% due 3/31/20+/+ ............   USD            5,750,000      2,972,031         0.8
      Front Loaded Interest Reduction Bond Series A,
       6.8125% due 3/31/07+ ..............................   USD            2,750,000      1,381,875         0.4
      Par Bond Series B, 6.75% due 3/31/20+/+ ............   USD            2,500,000      1,292,188         0.4
                                                                                        ------------
Total Government & Government Agency Obligations (cost
 $242,911,251) ...........................................                               253,825,297
                                                                                        ------------
Sovereign Debt (11.5%)
  Morocco (4.7%)
    Kingdom of Morocco, Tranche A Loan Agreement, 6.6875%
     due 1/1/09+  ........................................   USD           28,000,000     16,712,500         4.7
  Peru (2.0%)
    Peru Loan Agreement ** -/- ...........................   USD            9,200,000      6,348,000         1.8
    Peru Loan Agreement (Citibank Issued) ** -/-  ........   USD            1,000,000        690,000         0.2
  Russia (4.8%)
    Bank for Foreign Economic Affairs (Vnesheconombank)
     Loan Agreement ** -/- ...............................   USD           53,000,000     17,157,425         4.8
                                                                                        ------------
Total Sovereign Debt (cost $39,833,286) ..................                                40,907,925
                                                                                        ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 89
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Fixed Income Investments                                    Currency       Amount          Value        Assets {d}
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Corporate Bonds (6.4%)
  Brazil (0.8%)
    Banco BCN - BCN Leasing, 11% due 6/9/97 - 144A{.} ....   USD            3,000,000   $  2,955,000         0.8
  Colombia (0.4%)
    Oleoducto Central S.A. (OCENSA), 9.35% due 9/1/05 -
     144A{.} .............................................   USD            1,500,000      1,511,250         0.4
  Hong Kong (0.4%)
    Pacific Concord Finance Ltd., Convertible Bond, 4.75%
     due 12/10/98 ........................................   USD            2,000,000      1,590,000         0.4
  India (0.2%)
    Reliance Industries Ltd., 8.125% due 9/27/05 -
     144A{.} .............................................   USD              700,000        705,250         0.2
  Indonesia (2.6%)
    PT Polysindo Eka Perkasa, effective yield 23.23%, due
     7/27/97 .............................................   IDR       12,000,000,000      3,766,520         1.0
    Dharmala Sakti Sejahtera Promissory Note, effective
     yield 23.10%, due 6/9/97 ............................   IDR        9,000,000,000      2,892,291         0.8
    PT Tjiwi Kimia, 13.25% due 8/1/01 ....................   USD            1,000,000      1,097,500         0.3
    Asia Pulp & Paper International Finance Co., Ltd.,
     11.75% due 10/1/05  .................................   USD            1,000,000      1,025,939         0.3
    PT Indah Kiat, 8.875% due 11/1/00  ...................   USD              800,000        768,000         0.2
  Malaysia (0.5%)
    Aokam Perdana Bhd., Convertible Bond, 3.5% due
     6/13/04 .............................................   USD            2,000,000      1,630,000         0.5
  Philippines (0.9%)
    Philippine Long Distance Telephone, 9.875% due
     8/1/05 ..............................................   USD            2,000,000      2,085,000         0.6
    Philippine National Power, 9% due 7/5/02 .............   USD            1,000,000      1,030,000         0.3
  South Africa (0.6%)
    Sappi BVI Finance Ltd., Convertible Bond, 7.5% due
     8/1/02 - 144A{.} ....................................   USD            2,000,000      2,030,000         0.6
                                                                                        ------------
Total Corporate Bonds (cost $23,474,518)  ................                                23,086,750
                                                                                        ------------
Structured Notes (1.2%)
  Argentina (1.2%)
    Republic of Argentina, BOCON Pre 2 Linked Note,
     13.875%due 4/2/01 (Issued by Bankers Trust New York
     Corporation. The underlying asset is Republic of
     Argentina BOCON Pre 2.) (cost $5,000,000)  ..........   USD            5,000,000      4,259,500         1.2
                                                                                        ------------       -----
 
TOTAL FIXED INCOME INVESTMENTS (cost $311,219,055) .......                               322,079,472        89.8
                                                                                        ------------       -----
<CAPTION>
 
                                                                         Principal         Market        % of Net
Short-Term Investments                                      Currency       Amount          Value        Assets {d}
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Treasury Bills (3.7%)
  Mexico (3.7%)
    Mexican Cetes: .......................................   MXN                   --             --         3.7
      Effective yield 47.33%, due 3/20/96  ...............   --            54,000,000      6,405,219          --
      Effective yield 47.57%, due 3/28/96  ...............   --            31,000,000      3,641,716          --
      Effective yield 45.14%, due 9/26/96  ...............   --            33,500,000      3,328,027          --
                                                                                        ------------
Total Treasury Bills (cost $15,091,791)  .................                                13,374,962
                                                                                        ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 90
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
<TABLE>
<CAPTION>
                                                                         Principal         Market        % of Net
Short-Term Investments                                      Currency       Amount          Value        Assets {d}
- ----------------------------------------------------------  --------   --------------   ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
Commercial Paper - Discounted (0.5%)
  Indonesia (0.5%)
    PT Indah Kiat Pulp & Paper Corp., effective
     yield16.88%, due 3/21/96 (cost $1,693,821)   ........   IDR        4,000,000,000   $  1,652,844         0.5
                                                                                        ------------       -----
 
TOTAL SHORT-TERM INVESTMENTS (cost $16,785,612) ..........                                15,027,806         4.2
                                                                                        ------------       -----
<CAPTION>
 
                                                                                           Market        % of Net
Repurchase Agreement                                                                       Value        Assets {d}
- ----------------------------------------------------------                              ------------   -------------
<S>                                                         <C>        <C>              <C>            <C>
  Dated October 31, 1995 with State Street Bank & Trust
   Company, due November 1, 1995, for an effective yield
   of 5.80% collateralized by $3,640,000 U.S. Treasury
   Strips, due 2/15/02 (market value of collateral is
   $2,519,129, including accrued interest). (cost
   $2,438,393)  ..........................................                                 2,438,393         0.7
                                                                                        ------------       -----
 
TOTAL INVESTMENTS (cost $330,443,060) ....................                               339,545,671        94.7
Other Assets and Liabilities .............................                                19,135,095         5.3
                                                                                        ------------       -----
 
NET ASSETS ...............................................                              $358,680,766       100.0
                                                                                        ------------       -----
                                                                                        ------------       -----
</TABLE>
 
- ----------------
 
        {d}  Percentages indicated are based on net assets of $358,680,766.
          +  The coupon rate shown on floating rate note represents the rate at
             period end.
        -/-  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.
        [.]  Bond pays stated or additional interest with "payment-in-kind"
             (PIK) shares.
         ++  The coupon rate shown on step-up coupon bond 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.
          *  For Federal income tax purposes, cost is $334,925,427 and
             appreciation (depreciation) is as follows:
 
                 Unrealized appreciation:         $  17,054,207
                 Unrealized depreciation:           (12,433,963)
                                                  -------------
                 Net unrealized appreciation:     $   4,620,244
                                                  -------------
                                                  -------------
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 91
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                              STATEMENT OF ASSETS
                                AND LIABILITIES
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>
Assets:
  Investments in securities, at value (cost
   $330,443,060) (Note 1)...........................     $339,545,671
  U.S. currency.....................................              658
  Receivable for securities sold....................       14,709,780
  Interest receivable...............................        9,226,637
  Unamortized organizational costs (Note 1).........            9,886
                                                         ------------
    Total assets....................................      363,492,632
                                                         ------------
Liabilities:
  Payable for securities purchased..................        4,448,672
  Payable for investment management and
   administration fees (Note 2).....................          209,120
  Payable for custodian fees (Note 1)...............           25,012
  Payable for printing and postage expenses.........           22,733
  Payable for professional fees.....................           19,894
  Payable for Trustees' fees and expenses (Note
   2)...............................................            2,815
  Other accrued expenses............................           83,620
                                                         ------------
    Total liabilities...............................        4,811,866
                                                         ------------
Net assets..........................................     $358,680,766
                                                         ------------
                                                         ------------
Net assets consist of:
  Paid in capital...................................     $323,645,829
  Undistributed net investment income...............       78,582,766
  Accumulated net realized loss on investments and
   foreign currency transactions....................      (52,656,675)
  Net unrealized appreciation on translation of
   assets and liabilities in foreign currencies.....            6,235
  Net unrealized appreciation of investments........        9,102,611
                                                         ------------
Total -- representing net assets applicable to
 shares of beneficial interest outstanding..........     $358,680,766
                                                         ------------
                                                         ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 92
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                            STATEMENT OF OPERATIONS
 
                          Year ended October 31, 1995
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                                               <C>              <C>
Investment income: (Note 1)
  Interest income (net of foreign withholding tax of
   $37,276)...................................................     $ 46,834,087
                                                                   ------------
    Total investment income...................................       46,834,087
                                                                   ------------
Expenses:
  Investment management and administration fees (Note 2)......        2,411,786
  Custodian fees (Note 1).....................................          230,918
  Legal fees..................................................           16,972
  Audit fees..................................................           15,550
  Trustees' fees and expenses (Note 2)........................            6,935
  Amortization of organization costs (Note 1).................            4,997
  Printing and postage expenses...............................            2,520
  Other expenses..............................................            7,300
                                                                   ------------
  Total expenses..............................................        2,696,978
                                                                   ------------
Net investment income.........................................       44,137,109
                                                                   ------------
Net realized and unrealized gain (loss) on
investments and foreign currencies: (Note 1)
  Net realized loss on investments...........     $(61,405,151)
  Net realized loss on foreign currency
   transactions..............................         (707,803)
                                                  ------------
    Net realized loss during the year.........................      (62,112,954)
  Net change in unrealized appreciation on
   translation of assets and liabilities in
   foreign currencies........................             (302)
  Net change in unrealized appreciation of
   investments...............................       24,969,840
                                                  ------------
    Net unrealized appreciation during the year...............       24,969,538
                                                                   ------------
Net realized and unrealized loss on investments and foreign
 currencies...................................................      (37,143,416)
                                                                   ------------
Net increase in net assets resulting from operations..........     $  6,993,693
                                                                   ------------
                                                                   ------------
</TABLE>
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 93
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                       STATEMENT OF CHANGES IN NET ASSETS
 
- --------------------------------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                     YEAR ENDED             YEAR ENDED
                                                  OCTOBER 31, 1995       OCTOBER 31, 1994
                                                  -----------------      -----------------
<S>                                               <C>                    <C>
Increase (Decrease) in net assets
Operations:
  Net investment income......................       $  44,137,109          $  27,856,747
  Net realized loss on investments and
   foreign currency transactions.............         (62,112,954)              (170,977)
  Net change in unrealized appreciation
   (depreciation) on translation of assets
   and liabilities in foreign currencies.....                (302)              (517,677)
  Net change in unrealized appreciation
   (depreciation) of investments.............          24,969,840            (39,147,073)
                                                  -----------------      -----------------
    Net increase (decrease) in net assets
     resulting from operations...............           6,993,693            (11,978,980)
                                                  -----------------      -----------------
Beneficial interest transactions:
  Contributions..............................         322,934,028            632,988,502
  Withdrawals................................        (372,158,223)          (476,837,876)
                                                  -----------------      -----------------
    Net increase (decrease) from beneficial
     interest transactions...................         (49,224,195)           156,150,626
                                                  -----------------      -----------------
Total increase (decrease) in net assets......         (42,230,502)           144,171,646
Net assets:
  Beginning of year..........................         400,911,268            256,739,622
                                                  -----------------      -----------------
  End of year................................       $ 358,680,766          $ 400,911,268
                                                  -----------------      -----------------
                                                  -----------------      -----------------
</TABLE>
 
                  Statement of Additional Information Page 94
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                               SUPPLEMENTARY DATA
 
- --------------------------------------------------------------------------------
Contained  below are  ratios and supplemental  data that have  been derived from
information provided in the financial statements.
 
<TABLE>
<CAPTION>
                                                                                   OCTOBER 22, 1992
                                                 YEAR ENDED OCTOBER 31,            (COMMENCEMENT OF
                                          -------------------------------------     OPERATIONS) TO
                                             1995         1994         1993        OCTOBER 31, 1992
                                          -----------  -----------  -----------  --------------------
<S>                                       <C>          <C>          <C>          <C>
Ratios and supplemental data:
Net assets, end of period (in 000's)....  $  358,681   $  400,911   $  256,740        $     200
Ratio of net investment income to
 average net assets.....................        12.8%        7.93%         8.0%             N/A(a)
Ratio of expenses to average net
 assets.................................        0.78%        0.72%         0.9%             N/A(a)
Ratio of interest expense to average net
 assets.................................         N/A         0.22%         N/A              N/A
Portfolio turnover rate.................         213%         178%         195%            none
</TABLE>
 
- ----------------
 
(a)  Ratios are not meaningful due to short period of operation.
 
    The accompanying notes are an integral part of the financial statements.
 
                  Statement of Additional Information Page 95
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
                                    NOTES TO
                              FINANCIAL STATEMENTS
 
                                October 31, 1995
 
- --------------------------------------------------------------------------------
 
1. SIGNIFICANT ACCOUNTING POLICIES
Global High Income Portfolio ("Portfolio") is organized as a New York Trust and
is registered under the Investment Company Act of 1940, as amended ("1940 Act"),
as a non-diversified, open-end management investment company. The following is a
summary of significant accounting policies consistently followed by the
Portfolio in the preparation of the financial statements. The policies are in
conformity with generally accepted accounting principles.
 
(A)  PORTFOLIO VALUATION
The Portfolio calculates the net asset value of and completes orders to purchase
or repurchase Portfolio shares of beneficial interest 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 LGT Asset Management, Inc.
("LGT Asset Management") 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 LGT
Asset Management deems it appropriate, prices obtained for the day of valuation
from a bond pricing service will be used. Short-term investments with a maturity
of 60 days or less 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
Portfolio'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 Portfolio's Board of Trustees.
 
(B)  FOREIGN CURRENCY TRANSLATIONS
The accounting records of the 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 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.
 
The Portfolio does not isolate that portion of the results of operations
resulting from changes in foreign exchange rates on investments from the
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.
 
Reported net realized foreign exchange gains or losses arise from sales and
maturities of short-term securities, sales of 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 the 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 year end, resulting from changes in exchange rates.
 
(C)  REPURCHASE AGREEMENTS
With respect to repurchase agreements entered into by the Portfolio, it is the
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 Portfolio
under each agreement at its maturity.
 
                  Statement of Additional Information Page 96
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
(D)  FORWARD FOREIGN CURRENCY CONTRACTS
A forward foreign currency contract ("Forward") 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 the Portfolio as an unrealized gain or loss. When the
Forward Contract is closed, the 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
amounts shown in the Portfolio's "Statement of Assets and Liabilities." The
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. The
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 the Portfolio writes a call or put option, an amount equal to the premium
received is included in the 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. If an option expires
on its stipulated expiration date or if the 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 Portfolio can write options
only on a covered basis, which, for a call, requires that the portfolio hold the
underlying security and, for a put, requires the Portfolio to set aside cash,
U.S. government securities, or other liquid, high-grade debt 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 Portfolio may use options to
manage its exposure to the bond market and to fluctuations in currency values or
interest rates.
 
The premium paid by the Portfolio for the purchase of a call or put option is
included in the 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 Portfolio has purchased expires on
the stipulated expiration date, the Portfolio realizes a loss in the amount of
the cost of the option. If the Portfolio enters into a closing sale transaction,
the 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
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
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 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 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
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 the
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 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 Portfolio as unrealized gains or losses. When the
contract is closed, the 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 Portfolio is that the
change in value of the underlying securities may not correlate to the change in
value of the contracts. The Portfolio may use futures contracts to manage its
exposure to the bond market and to fluctuations in currency values or interest
rates.
 
                  Statement of Additional Information Page 97
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
(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. The 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 Portfolio to
subsequently invest at less advantageous prices.
 
(H)  PORTFOLIO SECURITIES LOANED
For international securities, cash collateral is received by the 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 the Portfolio against loaned securities in an amount
at least equal to 102% of the market value of the loaned securities at the
inception of each loan, and is maintained at this level during the period of the
loan. For the year ended October 31, 1995, the Portfolio received fees of $929
which were used to reduce the Fund's custodian fees. At October 31, 1995, there
were no securities on loan to brokers.
 
(I)  TAXES
It is the policy of the Portfolio to meet the requirements of the Internal
Revenue Code of 1986, as amended ("Code"). Therefore, no provision has been made
for Federal taxes on income, capital gains, or unrealized appreciation of
securities held.
 
(J)  DEFERRED ORGANIZATIONAL EXPENSES
Expenses incurred by the Portfolio in connection with its organization, its
registration with the Securities and Exchange Commission and with various states
and the initial public offering of its shares aggregated $25,000. These expenses
are being amortized on a straightline basis over a five-year period.
 
(K)  FOREIGN SECURITIES
There are certain additional considerations and risks associated with investing
in foreign securities and currency transactions that are not inherent with
investments of domestic origin. The 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.
 
(L)  INDEXED SECURITIES
The 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.
 
(M)  RESTRICTED SECURITIES
The 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.
 
2. RELATED PARTIES
LGT Asset Management is the Portfolio's investment manager and administrator.
The Portfolio pays investment management and administration fees to LGT Asset
Management 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.
 
The Portfolio pays each of its Trustees who is not an employee, officer or
director of LGT Asset Management, GT Global or GT Services $500 per year plus
$150 for each meeting of the board or any committee thereof attended by the
Trustees.
 
At October 31, 1995, all of the shares of beneficial interest of the Portfolio
were owned either by GT Global High Income Fund or LGT Asset Management.
 
3. PURCHASES AND SALES OF SECURITIES
For the year ended October 31, 1995, purchases and sales of investment
securities by the Portfolio, other than U.S. government obligations and
short-term investments, aggregated $528,728,519 and $504,864,711, respectively.
Purchases and sales of U.S. government obligations by the Portfolio aggregated
$128,514,376 and $145,460,470, respectively.
 
                  Statement of Additional Information Page 98
<PAGE>
                          GLOBAL HIGH INCOME PORTFOLIO
 
4. WRITTEN OPTIONS:
The Portfolio's written options contract activity for the year ended October 31,
1995 was as follows:
 
                      COVERED CALL AND PUT OPTIONS WRITTEN
 
<TABLE>
<CAPTION>
                                                                              UNDERLYING
                                                                                NOMINAL
                                                                                AMOUNT           PREMIUMS
                                                                             -------------      -----------
<S>                                                                          <C>                <C>
Options outstanding at October 31, 1994....................................             0       $        0
Options written............................................................    12,500,000          111,000
Options cancelled in closing purchase transactions.........................             0                0
Options expired prior to exercise..........................................   (12,500,000)        (111,000)
Options exercised..........................................................             0                0
                                                                             -------------      -----------
Options outstanding at October 31, 1995....................................             0       $        0
                                                                             -------------      -----------
                                                                             -------------      -----------
</TABLE>
 
                  Statement of Additional Information Page 99
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                  Statement of Additional Information Page 100
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                  Statement of Additional Information Page 101
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                                     NOTES
 
- --------------------------------------------------------------------------------
 
                  Statement of Additional Information Page 102
<PAGE>
                             GT GLOBAL INCOME FUNDS
 
                             GT GLOBAL MUTUAL FUNDS
 
  GT GLOBAL OFFERS A BROAD RANGE OF MUTUAL FUNDS TO COMPLEMENT MANY INVESTORS'
  PORTFOLIOS.  FOR MORE INFORMATION AND  A PROSPECTUS ON ANY  OF THE GT GLOBAL
  MUTUAL FUNDS,  PLEASE  CONTACT YOUR  FINANCIAL  ADVISOR OR  CALL  GT  GLOBAL
  DIRECTLY AT 1-800-824-1580.
 
GROWTH FUNDS
 
/ / GLOBALLY DIVERSIFIED FUNDS
 
GT GLOBAL WORLDWIDE GROWTH FUND
Invests around the world, including the U.S.
 
GT GLOBAL INTERNATIONAL GROWTH FUND
Provides portfolio diversity for U.S. investors by investing outside the U.S.
 
GT GLOBAL EMERGING MARKETS GROWTH FUND
Gives access to the growth potential of developing economies
 
/ / GLOBAL THEME FUNDS
 
GT GLOBAL CONSUMER PRODUCTS AND
SERVICES FUND
Invests in companies that manufacture, market, retail, or distribute consumer
products or services
 
GT GLOBAL FINANCIAL SERVICES FUND
Focuses on the worldwide opportunities from the demand for financial services
and products
 
GT GLOBAL HEALTH CARE FUND
Invests in the growing health care industries worldwide
 
GT GLOBAL INFASTRUCTURE FUND
Seeks companies that build, improve or maintain a country's infastructure
 
GT GLOBAL NATURAL RESOURCES FUND
Concentrates on companies that own, explore or develop natural resources
 
GT GLOBAL TELECOMMUNICATIONS FUND
Invests in companies worldwide that develop, manufacture or sell
telecommunications services or equipment
 
/ / REGIONALLY DIVERSIFIED FUNDS
 
GT GLOBAL NEW PACIFIC GROWTH FUND
Offers access to the emerging and established markets of the Pacific Rim,
excluding Japan
 
GT GLOBAL EUROPE GROWTH FUND
Focuses on investment opportunities in the new, unified Europe
 
GT GLOBAL LATIN AMERICA GROWTH FUND
Invests in the emerging markets of Latin America
 
/ / SINGLE COUNTRY FUNDS
 
GT GLOBAL AMERICA SMALL CAP GROWTH FUND
Invests in equity securities of small U.S. companies
 
GT GLOBAL AMERICA GROWTH FUND
Concentrates on small and medium-sized companies in the U.S.
 
GT GLOBAL AMERICA VALUE FUND
Concentrates on equity securities of U.S. companies believed to be undervalued
GT GLOBAL JAPAN GROWTH FUND
Provides U.S. investors with direct access to the Japanese market
 
GROWTH AND INCOME FUND
 
GT GLOBAL GROWTH & INCOME FUND
Invests in blue-chip stocks and government bonds from around the world
 
INCOME FUNDS
 
GT GLOBAL GOVERNMENT INCOME FUND
Invests in global government securities
 
GT GLOBAL STRATEGIC INCOME FUND
Allocates its assets among debt securities from the U.S., developed foreign
countries and emerging markets
 
GT GLOBAL HIGH INCOME FUND
Invests in a portfolio of emerging market debt securities
 
MONEY MARKET FUND
 
GT GLOBAL 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 GT
  GLOBAL GOVERNMENT INCOME FUND,  GT GLOBAL STRATEGIC  INCOME FUND, GT  GLOBAL
  HIGH  INCOME  FUND,  GLOBAL  HIGH  INCOME  PORTFOLIO,  CHANCELLOR  LGT ASSET
  MANAGEMENT, INC. OR GT GLOBAL, 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.
 
                                                                     INCSX602 MC


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