IDS GLOBAL SERIES INC
N-30D, 1999-01-07
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                                                        IDS
                                         Global Growth Fund
                                         1998 ANNUAL REPORT 
                                       (PROSPECTUS ENCLOSED)

(icon of) Compass

The goal of IDS Global  Growth  Fund,  a part of IDS  Global  Series,  Inc.,  is
long-term capital growth.  The Fund invests in a Portfolio composed primarily of
equity securities of companies throughout the world.

(This annual report  includes a prospectus  that  describes in detail the Fund's
objective,  investment strategy, risks, sales charges, fees and other matters of
interest. Please read the prospectus carefully before you invest or send money.)

American Express Financial Advisors

Distributed by American Express Financial Advisors Inc.

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It's a Big World  After All

No one needs to be told that the world is changing  rapidly.  For example,  some
years ago U.S.  stocks  accounted  for about  two-thirds  of the total  value of
stocks worldwide. Today, that figure is down to about one-third, as many foreign
stock markets have enjoyed  explosive  growth.  Global Growth Fund seeks to take
advantage of that trend by investing in companies throughout the world, not just
the United States.  For the most part, these are foreign  companies  involved in
essential businesses such as infrastructure creation,  finance and environmental
clean-up.  As they  prosper,  Global  Growth  offers  investors the potential to
prosper along with them.

IDS GLOBAL GROWTH FUND   (This annual report is not part of the prospectus.)

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Table of Contents

1998 ANNUAL REPORT
The purpose of the annual report is to tell 
investors how the Fund performed.

From the Chairman                                        4
From the Portfolio Manager                               4
Fund Facts                                               6
The 10 Largest Holdings                                  7
Making the Most of the Fund                              8
The Fund's Long-term Performance                         9
Independent Auditors' Report (Fund)                     10
Financial Statements (Fund)                             11
Notes to Financial Statements (Fund)                    14
Independent Auditors' Report (Portfolio)                18
Financial Statements (Portfolio)                        19
Notes to Financial Statements (Portfolio)               22
Investments in Securities                               26
Federal Income Tax Information                          34

1998 prospectus
The prospectus,  which is bound into the middle of this annual report, describes
the Fund in detail.

The Fund                                              3p
Goal                                                  3p
Investment Strategy                                   3p
Risks                                                 4p
Past Performance                                      6p
Fees and Expenses                                     8p
Management                                            9p

Buying and Selling Shares                             9p
Valuing Fund Shares                                   9p
Investment Options                                   10p
Purchasing Shares                                    11p
Sales Charges                                        14p
Exchanging/Selling Shares                            18p

Distributions and Taxes                              22p

Personalized Shareholder Information                 24p

Master/Feeder Structure                              25p

About the Company                                    26p

Quick Telephone Reference                            28p

Financial Highlights                                 29p

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 1998

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From the Chairman

If you're an experienced investor, you know that the past 12 months was a highly
volatile period in many financial  markets.  But history tells that  substantial
market moves are nothing new.  Though they're often  unpredictable,  declines --
whether they're brief or  long-lasting,  moderate or substantial -- are always a
possibility.

The potential for such  volatility  reinforces  the need for investors to review
periodically  their long-term goals and examine whether their investment program
remains on track to achieving them. Your quarterly investment statements are one
part of that  monitoring  process.  The  other is a meeting  with your  American
Express financial  advisor.  That becomes even more important if there's a major
change in your financial situation or in the financial markets.

William R. Pearce
(picture of) William R. Pearce
William R. Pearce
Chairman of the board

From the Portfolio Manager
A  well-positioned  portfolio and generally strong stock markets in the U.S. and
Europe led to a productive 12 months for IDS Global Growth Fund. Ultimately, for
the fiscal year -- November 1997 through October 1998 -- investors in the Fund's
Class A shares realized a total return of 17.00%.  This figure was well ahead of
that generated by the Morgan  Stanley  Capital  International  All Country World
Free  Index,  an  unmanaged  group  of  stocks  commonly  used  to  measure  the
performance of major worldwide markets.

When the period began last November,  the global investment world was still in a
state of shock as a result of the  financial  crisis  that first  struck Asia in
late October. Within a few weeks, though,  investors reached the conclusion that
the major  markets of the U.S. and Europe  would likely  weather the "Asian flu"
with relatively  little negative effect.  European markets led the way, rallying
through the winter and into the summer. The U.S., on the other hand, essentially
marked time until  February,  when it mounted a powerful rally that lasted until
mid-July.

IDS GLOBAL GROWTH FUND (This annual report is not part of the prospectus.) 

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Within a few weeks, though, the environment became radically different.  Russia,
already on shaky economic ground,  was forced to devalue its currency,  which in
turn  spawned  fear that much of Latin  America  would  soon be forced to follow
suit. Then, just as the shock waves from that development had begun to subside a
bit, financial markets worldwide were confronted with the possibility that heavy
losses in speculative investments made by so-called hedge funds could ultimately
cause banks to greatly curtail corporate lending activities.

FALL'S FALL-OUT
The  result  of all  this bad news was  widespread  stock-selling  in all  major
markets that didn't let up until  October.  By that time, the Fund was forced to
give back more than half of what it earned  through July.  The period did end on
an encouraging  note,  however,  as most major markets  bounced back strongly in
October,  which allowed the Fund's gain to reach well into double digits for the
fiscal year as a whole.

I kept most of the portfolio  (about 60%) invested in Europe  throughout  the 12
months,  chiefly  in  the  United  Kingdom,   France,  Italy,  Germany  and  the
Netherlands.  This proved to be  productive,  as those markets  benefited from a
trend toward corporate  restructuring.  The next-biggest  exposure (about 40% at
the peak) was to the U.S.,  whose stock  market also  enjoyed  generally  rising
prices.  I  maintained  only a minimal  exposure  (about  5%) to the  struggling
markets of Asia, including Japan, and Latin America.

As the new fiscal year begins, I continue to believe that the best opportunities
for gain are in Europe,  followed by the U.S.,  both of which  should be able to
sustain reasonably good economic growth accompanied by low inflation. Therefore,
as of mid-November, those two regions still compromise the great majority of the
portfolio's investments.

John O'Brien
(picture of) John O'Brien
John O'Brien
Portfolio Manager

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 1998

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Fund Facts

Class A -- 12-month performance
(All figures per share)

Net asset value (NAV)
Oct. 31, 1998                                                 $7.80
Oct. 31, 1997                                                 $6.90
Increase                                                      $0.90

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                   $0.06
From capital gains                                            $0.18
Total distributions                                           $0.24
Total return*                                                +17.00%**

 Class B -- 12-month performance
(All figures per share)

Net asset value (NAV)
Oct. 31, 1998                                                 $7.68
Oct. 31, 1997                                                 $6.79
Increase                                                      $0.89

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                   $0.01
From capital gains                                            $0.18
Total distributions                                           $0.19

Total return*                                                +16.13%**

 Class Y -- 12-month performance
(All figures per share)

Net asset value (NAV)
Oct. 31, 1998                                                 $7.81
Oct. 31, 1997                                                 $6.91
Increase                                                      $0.90

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                   $0.07
From capital gains                                            $0.18
Total distributions                                           $0.25

Total return*                                                +17.10%**
*The  prospectus  discusses the effect of sales charges,  if any, on the various
classes.
**The  total  return  is  a  hypothetical   investment  in  the  Fund  with  all
distributions reinvested.

IDS GLOBAL GROWTH FUND (This annual report is not part of the prospectus.)

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The 10 Largest Holdings

                                       Percent                 Value
                                   (of net assets)      (as of Oct. 31, 1998)
 Mannesmann (Germany)                    3.55%             $45,420,136
 Credito Italiano (Italy)                3.27               41,814,127
 General Electric (United Kingdom)       3.01               38,506,614
 Novartis (Switzerland)                  2.94               37,661,144
 Orange (United Kingdom)                 2.69               34,420,716
 Telecom Italia (Italy)                  2.53               32,365,644
 Total Petroleum Cl B (France)           2.41               30,895,707
 Banca Intesa (Italy)                    2.37               30,323,821
 Banque Natl de Paris (France)           2.33               29,846,665
 Bayerische Vereinsbank (Germany)        2.20               28,115,568

Note:  Certain foreign  investment risks include:  changes in currency  exchange
rates,  adverse  political  or  economic  order and lack of  similar  regulatory
requirements followed by U.S. companies.

For further detail about these  holdings,  please refer to the section  entitled
"Investments in securities" herein.

(icon of) pie chart

The 10 holdings listed here  make up 27.30% of net assets

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 1998

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Making the Most of the Fund

BUILD YOUR ASSETS SYSTEMATICALLY
One of the best  ways to  invest in the Fund is by  dollar-cost  averaging  -- a
time-tested  strategy  that  can make  market  fluctuations  work  for  you.  To
dollar-cost  average,  simply invest a fixed amount of money  regularly.  You'll
automatically  buy more shares when the Fund's share price is low,  fewer shares
when it is high. The chart below shows how dollar-cost averaging works. In these
three  hypothetical   scenarios,   you  will  see  six  months  of  share  price
fluctuations.

This strategy  does not ensure a profit or avoid a loss if the market  declines.
But, if you can continue to invest regularly  through changing market conditions
even when the price of your  shares  fall or the market  declines,  it can be an
effective way to accumulate shares to meet your long-term goals.

How dollar-cost averaging works

     Jan  Feb  Mar  Apr  May  Jun      
$15                 $16  $18  $20
$10  $10  $12  $14  
$ 5

Accumulated shares*       Average market           Your average 
                          price per share          cost per share

      42.25                    $15                    $14.20
- -------------------------------------------------------------------------------

     Jan  Feb  Mar  Apr  May  Jun      
$15  
$10  $10  $8             $8   $10
$ 5            $5   $5   

Accumulated shares*       Average market           Your average 
                          price per share          cost per share

      85.0                     $7.66                  $7.05
- -------------------------------------------------------------------------------

     Jan  Feb  Mar  Apr  May  Jun
$15
$10  $10  $8   $6             $7
$ 5                 $4   $4

Accumulated shares*       Average market           Your average 
                          price per share          cost per share

     103.5                    $6.50                    $5.80
- -------------------------------------------------------------------------------
$100 invested per month. Total invested: $600

*Shares purchased is determined by dividing the amount invested per month by the
current share price.

THREE WAYS TO BENEFIT FROM A MUTUAL FUND:
o  your shares increase in value when the Fund's investments do well

o you  receive  capital  gains  when the gains on  investments  sold by the Fund
exceed losses 

o you receive income when the Fund's stock dividends, interest and
short-term gains exceed its expenses.

All  three  make up  your  total  return.  You  potentially  can  increase  your
investment if, like most investors, you reinvest your dividends and capital gain
distributions to buy additional shares of the Fund or another fund.

IDS GLOBAL GROWTH FUND  (This annual report is not part of the prospectus.)

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The Fund's Long-term Performance

How $10,000 has grown in IDS Global Growth Fund

$30,000


$20,000
                                                                         $18,477
                                                                   Global Growth
                                                                            Fund
                                    Lipper International                 Class A
$10,000                                       Fund Index
                MSCI                   
          All Country
        World Free Index
$9,500

6/1/90   '90     '91     '92     '93     '94     '95     '96      '97     '98

 Average annual total return (as of Oct. 31, 1998)
             1 year    Since inception (B&Y)  5 years    Since inception (A)
 Class A     +11.15%               --%         +7.11%            +7.56%**
 Class B     +12.13%          +11.58%*            --%               --%
 Class Y     +17.10%          +13.20%*            --%               --%
*Inception date was March 20, 1995.
**Inception date was May 29, 1990.

Assumes:  Holding  period from 6/1/90 to 10/31/98.  Returns do not reflect taxes
payable  on   distributions.   Reinvestment  of  all  income  and  capital  gain
distributions for the Fund, with a value of $3,661.  Also see "Past Performance"
in the Fund's current prospectus.

On the graph above you can see how the Fund's totalreturn compared to two widely
cited unmanaged  performance  indexes,  the MSCIAll Country World Free Index and
the Lipper  International Fund Index. In comparing IDS Global Growth Fund (Class
A) to the two  indexes,  you should  take into  account the fact that the Fund's
performance  reflects the maximum sales charge of 5%, while such charges are not
reflected in the performance of the indexes.

Your investment and return values fluctuate so that your shares,  when redeemed,
may be worth more or less than the original  cost.  Average  annual total return
figures reflect the impact of the applicable  sales charge,  up to a maximum 5%.
This was a period of widely fluctuating  security prices. Past performance is no
guarantee of future results.

Morgan Stanley Capital  International  (MSCI) All Country World Free Index is an
unmanaged index compiled from a composite of securities markets of 47 countries,
including Canada, the United States and 26 emerging market countries.

Lipper  International  Fund  Index,  an  unmanaged  index  published  by  Lipper
Analytical  Services,  Inc., includes 30 funds that are generally similar to the
Fund,  although some funds in the index may have somewhat  different  investment
policies or objectives.

(This annual report is not part of the prospectus.) ANNUAL REPORT - 1998

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The  financial   statements   contained  in  Post-Effective   Amendment  #31  to
Registration  Statement No.  811-5696  filed on or about  December 28, 1998, are
incorporated herein by reference.

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Federal Income Tax Information

The  Fund is  required  by the  Internal  Revenue  Code  of  1986  to  tell  its
shareholders  about the tax treatment of the dividends it pays during its fiscal
year.  The  dividends  listed  below  were  reported  to you on  Form  1099-DIV,
Dividends and  Distributions,  last January.  Shareholders  should consult a tax
advisor on how to report distributions for state and local purposes.

IDS Global Growth Fund 
Fiscal year ended Oct. 31, 1998

Class A

Income distribution taxable as dividend income,  13.14% qualifying for deduction
by corporations.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.06030

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.17711
Total distributions                                             $0.23741

The  distribution  of $0.23741 per share,  payable  Dec. 29, 1997,  consisted of
$0.06030  derived from net  investment  income and $0.17711  from net  long-term
capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.01576 and 20% - $0.16135.

IDS GLOBAL GROWTH FUND (This annual report is not part of the prospectus.)

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  Class B

Income distribution taxable as dividend income,  13.14% qualifying for deduction
by corporations.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.01171

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.17711
Total distributions                                             $0.18882

The  distribution  of $0.18882 per share,  payable  Dec. 29, 1997,  consisted of
$0.01171  derived from net  investment  income and $0.17711  from net  long-term
capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.01576 and 20% - $0.16135.

Class Y

Income distribution taxable as dividend income,  13.14% qualifying for deduction
by corporations.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.06904

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 29, 1997                                                   $0.17711
Total distributions                                             $0.24615

The  distribution  of $0.24615 per share,  payable  Dec. 29, 1997,  consisted of
$0.06904  derived from net  investment  income and $0.17711  from net  long-term
capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.01576 and 20% - $0.16135.

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 1998

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S-6334 M (12/98)

IDS Global Growth Fund
IDS Tower 10
Minneapolis, MN 55440-0010

AMERICAN EXPRESS Financial Advisors (logo)

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STATEMENT OF DIFFERENCES

Difference                                       Description

1)   The layout is different                     1)  Some of the layout in the
     throughout the annual report.                   annual report to
                                                     shareholders is in two
                                                     columns.

2)   Headings.                                   2)  The headings in the
                                                     annual report are
                                                     placed in a blue strip
                                                     at the top of the page.

3)   There are pictures, icons                   3)  Each picture, icon and
     and graphs throughout the                       graph is described in
     annual report.                                  parentheses.

4)   Footnotes for charts and                    4)  The footnotes for each
     graphs are described at                         chart or graph are typed
     the left margin.                                below the description of
                                                     the chart or graph.



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