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

(icon of) Compass

The goal of IDS Global Bond Fund, a part of IDS Global  Series,  Inc., is a high
total  return  through  income  and  growth of  capital.  The Fund  invests in a
Portfolio composed primarily of debt securities of U.S. and foreign issuers.

(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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A Bounty of Bonds

In today's global economy,  investment  opportunities  don't stop at the water's
edge. While bonds issued by the U.S.  government and  corporations  once made up
almost  all of the  bond  market,  today  more  than  half of the  world's  debt
securities  are issued  from  outside  the United  States.  This means  expanded
opportunity  for  investors.  Global  Bond  Fund's aim is to take  advantage  of
opportunities in bond markets at any time and in any place,  providing investors
with greater portfolio diversification.

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

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Table of Contents

1998 ANNUAL REPORT
The purpose of this 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)                     11
Financial Statements (Fund)                             12
Notes to Financial Statements (Fund)                    15
Independent Auditors' Report (Portfolio)                19
Financial Statements (Portfolio)                        20
Notes to Financial Statements (Portfolio)               23
Investments in Securities                               29
Federal Income Tax Information                          41

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                                     9p
Management                                           10p

Buying and Selling Shares                            10p
Valuing Fund Shares                                  10p
Investment Options                                   11p
Purchasing Shares                                    12p
Sales Charges                                        15p
Exchanging/Selling Shares                            19p

Distributions and Taxes                              23p

Personalized Shareholder   Information               25p

Master/Feeder Structure                              26p

About the Company                                    27p

Quick Telephone Reference                            29p

Financial Highlights                                 30p


(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 probably know that the past 12 months was
a highly  volatile period in many financial  markets.  But history tells us 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.

That  potential  for  such  volatility  reinforces  the need  for  investors  to
periodically  review 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

From the Portfolio Manager

Despite substantial downturns in many smaller, or emerging, foreign markets, IDS
Global Bond Fund produced a positive result for the past fiscal year. For the 12
months --  November  1997  through  October  1998 -- the  Fund's  Class A shares
generated a total return (net asset value change and dividends) of 5.52%.

For the period as a whole,  persistently  low inflation and improving  financial
conditions in all the industrialized countries put a ceiling on any tendency for
interest rates to rise. In fact,  several  European  countries,  which enjoyed a
convergence of sounder economic  policies,  were able to lower interest rates in
anticipation  of the  introduction of the common  European  currency,  the euro,
scheduled for 1999. Bond values rose in response to the rate decline.

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

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In the U.S.,  government bonds benefited from healthy demand driven chiefly by a
continuation  of  remarkably  low  inflation,  a balanced  federal  budget and a
"flight to quality" on the part of investors seeking a safe haven amid financial
upheaval in Asia,  Russia and Latin  America.  Ultimately,  all the  bond-buying
drove down long-term interest rates, which in turn boosted bond values.

AN EMPHASIS ON THE DOLLAR
As usual, the greatest portion of the Fund's investments was in U.S. and foreign
government bonds. To negate fluctuations in foreign currencies,  I also employed
hedging  strategies  for most of the  period.  Overall,  the dollar  appreciated
against the major  foreign  currencies,  including  the yen (Japan) and the mark
(Germany).

Among  the  foreign  markets,  the  clear  investment  emphasis  was on  Europe,
including the United Kingdom,  Germany and the Scandinavian countries.  The only
sore spot overseas was the emerging  market  sector,  which,  for the Fund,  was
largely confined to Latin America and Asia.  Although the total  emerging-market
exposure  was  relatively  modest  (17% at the peak last  spring)  and the great
majority of holdings  were  denominated  in U.S.  dollars,  the  severity of the
decline in emerging-market bond values last summer did, however,  take a toll on
the Fund's overall performance. The period ended on an encouraging note, though,
as most emerging market bonds rebounded strongly during the final weeks.

I believe  the  low-inflation  trend  that  benefited  bonds in the past  period
remains in place  throughout the world's major economies.  In addition,  central
banks,  including  the  Federal  Reserve  in the  U.S.,  have  recently  shown a
willingness to reduce  short-term  interest rates to thwart the possibility of a
global  recession.  Both of those  factors are positive for bonds.  In addition,
European  investments should benefit from improving economies in that region, as
well as the launch of a common currency in 1999. On the  emerging-market  front,
the worst appears to be over.  Therefore,  I expect to maintain the Fund's small
exposure to such markets, chiefly comparatively stable countries such as Mexico,
Argentina, Korea and China/Hong Kong.

Ray Goodner
(picture of) Ray Goodner
Ray Goodner
Portfolio Manager

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

<PAGE>

Fund Facts

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

Net asset value (NAV)
Oct. 31, 1998                                                       $ 6.17
Oct. 31, 1997                                                       $ 6.26
Decrease                                                            $ 0.09

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                         $ 0.36
From capital gains                                                  $ 0.07
Total distributions                                                 $ 0.43

Total return*                                                        +5.52%**

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

Net asset value (NAV)
Oct. 31, 1998                                                       $ 6.17
Oct. 31, 1997                                                       $ 6.26
Decrease                                                            $ 0.09

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                         $ 0.31
From capital gains                                                  $ 0.07
Total distributions                                                 $ 0.38

Total return*                                                        +4.73%**

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

Net asset value (NAV)
Oct. 31, 1998                                                       $ 6.17
Oct. 31, 1997                                                       $ 6.26
Decrease                                                            $ 0.09

Distributions -- Nov. 1, 1997 - Oct. 31, 1998
From income                                                         $ 0.36
From capital gains                                                  $ 0.07
Total distributions                                                 $ 0.43

Total return*                                                        +5.62%**
*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 BOND FUND (This annual report is not part of the prospectus.)

<PAGE>

The 10 Largest Holdings

                                     Percent                   Value
                                 (of net assets)        (as of Oct. 31, 1998)
 U.S. Treasury                        9.47%                 $93,631,699
7.50% 2016

 U.S. Treasury                        6.83                   67,459,162
7.50% 2001

 United Kingdom Treasury              5.13                   50,713,911
8.00% 2003

 Govt of Canada                       4.46                   44,100,644
8.00% 2023

 United Kingdom Treasury              3.82                   37,764,705
9.00% 2000

 Govt of Italy                        3.43                   33,947,999
8.50% 2004

 Govt of Sweden                       2.98                   29,492,359
8.00% 2007

 Govt of Spain                        2.68                   26,486,554
8.80% 2006

 Federal Republic of Germany          2.67                   26,386,324
6.50% 2027

 Govt of Denmark                      2.09                   20,692,167
8.00% 2003

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 43.56% 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 BOND FUND  (This annual report is not part of the prospectus.)

<PAGE>

The Fund's Long-term Performance

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

$30,000



                                                                        $23,001
$20,000                                                             Global Bond
                                                 Salomon Brothers          Fund
                                                Global Gov't Bond       Class A
                                                  Composite Index

                                                     Lipper Global Income    
$10,000                               Salomon Brothers    Fund Index    
                                           World Gov't                         
                                            Bond Index
 $9,500               
                      



4/1/89    10/89    '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      +0.24%          --%               +5.10%            +9.06%**
 Class B      +0.79%       +7.22%*                 --%               --%
 Class Y      +5.62%       +8.34%*                 --%               --%
  *Inception date was March 20, 1995.
**Inception date was March 20, 1989.

Assumes:  Holding  period from 4/1/89 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 $11,318. Also see "Past Performance"
in the Fund's current prospectus.

On the graph  above you can see how the Fund's  total  return  compared to three
widely cited  performance  indexes,  Salomon  Brothers  Global  Government  Bond
Composite  Index,  Salomon  Brothers World  Government Bond Index and the Lipper
Global Income Fund Index. Recently, the Fund's investment manager recommended to
the Fund that the Fund change its  comparative  index from the Salomon  Brothers
Global  Government Bond Composite Index to the Salomon Brothers World Government
Bond Index.  The  investment  manager made this  recommendation  because the new
index more closely  represents the Fund's holdings and information for the index
is more readily available. We will include both indexes in this transition year.
In the future  however,  only the Salomon  Brothers World  Government Bond Index
will be included.  In comparing Global Bond Fund to the two indexes,  you should
take account of the fact that the Fund's performance  reflects the maximum sales
charge of 5%, while no such  charges are  reflected  in the  performance  of the
index. If you were actually to buy either individual bonds or bond mutual funds,
any sales charges that you pay would reduce your total return as well.

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 of
5%. This was a period of widely fluctuating security prices. Past performance is
no guarantee of future results.



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

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Salomon  Brothers Global  Government Bond Composite  Index, an unmanaged  index,
includes all government bond markets tracked by Salomon Brothers. The index is a
general measure of government  bondperformance.  The  bondsincluded in the index
may not be in Global Bond Fund.  

Salomon   Brothers   Global   World   Government   Bond   Index,   an   unmanged
market-capitalization  weighted  benchmark,  tracks  the  performance  of the 17
government bond markets around the world.  It is widely  recognized by investors
as a measurement index for portfolios of world goverment bond securities.

Lipper  Global  Income  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.

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

<PAGE>

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.

<PAGE>

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. Some of the dividends  listed below were reported to you on Form 1099-DIV,
Dividends and Distributions,  last January.  Dividends paid to you since the end
of last year  will be  reported  to you on a tax  statement  sent next  January.
Shareholders  should  consult a tax advisor on how to report  distributions  for
state and local purposes.

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

Class A

Income distribution taxable as dividend income, none qualifying for deduction by
corporations.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.15345
March 26, 1998                                                   0.06788
June 25, 1998                                                    0.08417
Sept. 24, 1998                                                   0.05263
Total                                                           $0.35813

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.06708
Total distributions                                             $0.42521

The  distribution  of $0.22053 per share,  payable  Dec. 26, 1997,  consisted of
$0.07914  derived  from net  investment  income,  $0.07431  from net  short-term
capital gains (a total of $0.15345 taxable as dividend income) and $0.06708 from
net long-term capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.04337 and 20% - $0.02371.

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

<PAGE>

Class B

Income distribution taxable as dividend income, none qualifying for deduction by
corporations.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.14173
March 26, 1998                                                   0.05625
June 25, 1998                                                    0.07250
Sept. 24, 1998                                                   0.04108
Total                                                           $0.31156

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.06708
Total distributions                                             $0.37864

The  distribution  of $0.20881 per share,  payable  Dec. 26, 1997,  consisted of
$0.06742  derived  from net  investment  income,  $0.07431  from net  short-term
capital gains (a total of $0.14173 taxable as dividend income) and $0.06708 from
net long-term capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.04337 and 20% - $0.02371.

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

<PAGE>

Class Y
Income  distributions  taxable as dividend income, none qualifying for deduction
by corporations.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.15540
March 26, 1998                                                  $0.06962
June 25, 1998                                                   $0.08628
Sept. 24, 1998                                                  $0.05413
Total                                                           $0.36543

Capital gain distribution taxable as long-term capital gain.

Payable date                                                   Per share

Dec. 26, 1997                                                   $0.06708
Total distributions                                             $0.43251

The  distribution  of $0.22248 per share,  payable  Dec. 26, 1997,  consisted of
$0.08109  derived  from net  investment  income,  $0.07431  from net  short-term
capital gains (a total of $0.15540 taxable as dividend income) and $0.06708 from
net long-term capital gains.

The long-term  capital gains  distribution is divided into two rate  categories:
28% - $0.04337 and 20% - $0.02371.

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

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S-6309 M (12/98)

IDS Global Bond 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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