IDS STRATEGY FUND INC
N-30D, 2000-06-02
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                                                                 AXPSM Strategy
                                                                     Aggressive
                                                                           Fund

                                                             2000 ANNUAL REPORT
                                                           (PROSPECTUS ENCLOSED)


American
  Express(R)
Funds

(icon of) ruler



AXP Strategy Aggressive Fund seeks to provide shareholders with long-term growth
of capital.

(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
                                                            (R)
<PAGE>

Corporate Climbers
All rapidly growing  companies pass through various stages.  During their middle
stage,  they're  known in the  investment  world as  "mid-caps."  Stocks of such
companies,  which are the main focus of this Fund, offer investors an attractive
combination:  the  potential  for  above-average  corporate  growth  without the
initial risks that are inherent in brand-new  businesses.

AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

Table of Contents

2000 ANNUAL REPORT
The purpose of this annual report is to tell investors how the Fund performed.

From the Chairman                         4
From the Portfolio Managers               5
Fund Facts                                7
The 10 Largest Holdings                   8
Making the Most of the Fund               9
The Fund's Long-term Performance         10
Independent Auditors' Report             12
Financial Statements                     13
Notes to Financial Statements            16
Investments in Securities                23
Federal Income Tax Information           39

2000 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                                  5p
Past Performance                       6p
Fees and Expenses                      8p
Management                             9p
Buying and Selling Shares             10p
Valuing Fund Shares                   10p
Investment Options                    10p
Purchasing Shares                     12p
Transactions through Third Parties    15p
Sales Charges                         15p
Exchanging/Selling Shares             19p
Distributions and Taxes               24p
Other Information                     25p
Financial Highlights                  26p

(This annual report is not part of the prospectus.)        ANNUAL REPORT - 2000

<PAGE>

(picture of) Arne H. Carlson
Arne H. Carlson
Chairman of the board

From the Chairman

The financial  markets have always had their ups and downs, but in recent months
volatility  has become  more  frequent  and  intense.  While no one can say with
certainty what the markets will do, American Express Financial Corporation,  the
Fund's  investment  manager,  expects  economic  growth to  continue  this year,
accompanied  by a modest rise in long-term  interest  rates.  But no matter what
transpires,  this is a  great  time to  take a  close  look  at your  goals  and
investments. We encourage you to:

o Consult  a  professional  investment  advisor  who can help  you cut  through
  mountains of data.

o Set  financial  goals that extend  beyond those  achievable through retirement
  plans of your employer.

o Learn as much as you can about your current investments.

The  portfolio  managers'  letter that  follows  provides a review of the Fund's
investment strategies and performance. The annual report contains other valuable
information as well. The Fund's prospectus  describes its investment  objectives
and how it intends to achieve those objectives.  As experienced  investors know,
information is vital to making good investment decisions.

So, take a moment and decide again whether the Fund's investment  objectives and
management  style  fit  with  your  other  investments  to help you  reach  your
financial  goals.  And make it a  practice  on a regular  basis to  assess  your
investment options.



Arne H. Carlson


AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

(picture of) Louis Giglio
Louis Giglio
Portfolio manager

(picture of) Jacob (Jake) Hurwitz
Jacob (Jake) Hurwitz
Portfolio manager

(picture of) Kent A. Kelley
Kent Kelley
Portfolio manager

From the Portfolio Managers

By  being  well   positioned   to  take   advantage  of  a  powerful   rally  in
technology-related stocks, AXP Strategy Aggressive Fund generated an exceptional
gain during the past fiscal year.  For the 12 months -- April 1999 through March
2000 -- the total  return  (excluding  the sales  charge) for the Fund's Class A
shares was 100.97%. (A portion of the return came in the form of a capital gain,
which was paid to  shareholders  last  December and reduced the Fund's net asset
value by a like amount at that time.)

With worries about higher interest rates,  potentially  higher inflation and the
possible  impact of the Y2K computer bug  clouding  the  environment,  the stock
market  retreated early in the period.  But as encouraging  reports on inflation
and corporate  profits began coming in,  investors cast aside their concerns and
piled back into stocks.

By mid-fall,  the market,  with additional  support from  increasing  excitement
about the  potential  of the  Internet,  was in full  rally  mode,  a trend that
continued  into the early days of January.  From that point,  the market  mostly
struggled, as the outlook for interest rates and inflation again took a negative
turn. The Fund, however, continued to advance through February, recording a gain
of nearly 30% in that month, before slipping back in March.

TECH TAKES OFF
The magic  word for the market -- and even more so for the Fund -- during the 12
months was  technology.  Thanks to its heavy exposure to that sector (nearly 60%
of assets at the  highest  point),  the Fund not only  out-performed  the market
during the upturns but it also held up better during the downturns.

Particularly strong were stocks related to the growth of the Internet. Among the
Fund's top performers were: Verisign, InfoSpace, Knight-Trimark, Juniper, Covad,
PMC Sierra,  Peregrine Systems,  Mercury Interactive and Allegiance.  (Other big
winners  included  Yahoo!,  JDS  Uniphase,  Cisco  Systems and  America  Online.
However, because their market values outgrew the mid-capitalization category, we
sold them before the period ended.) Aside from technology,

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 2000

<PAGE>

IDEC Pharmaceuticals and Alkermes, both in the biotechnology sector, experienced
sharp gains,  while Kansas City  Southern,  with a strong  presence in financial
services,  performed  quite well,  and Univison,  a media  company,  was also up
strongly.

There was considerable initial public offering (IPO) activity during the period,
and the Fund took part in a number of them.  In some  cases,  we sold the stocks
quickly for a profit;  other  times,  we held the shares  based on our  positive
longer-term  outlook for the company.  In still other cases, we didn't take part
in the IPOs,  but did buy the stocks later via  secondary  offerings in order to
build a larger position than would have been possible by buying the IPOs. On the
whole,   participation  in  new  stock  issues  clearly   benefited  the  Fund's
performance.

As the new fiscal year begins,  while we don't expect a repeat of the uncommonly
strong gain of the past 12 months,  we think the  outlook  for the Fund  remains
very bright. Patience will be essential, though, because market volatility -- as
evidenced by the steep  decline among  technology-related  stocks in April -- is
likely to remain high.



Louis Giglio



Jacob (Jake) Hurwitz



Kent A. Kelley


AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

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

Net asset value (NAV)
March 31, 2000                                                $37.03
March 31, 1999                                                $22.88
Increase                                                      $14.15

Distributions -- April 1, 1999 - March 31, 2000
From income                                                    $1.56
From capital gains                                             $5.82
Total distributions                                            $7.38
Total return*                                               +100.97%**

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

Net asset value (NAV)

March 31, 2000                                                $35.06
March 31, 1999                                                $22.05
Increase                                                      $13.01

Distributions -- April 1, 1999 - March 31, 2000
From income                                                    $1.56
From capital gains                                             $5.82
Total distributions                                            $7.38
Total return*                                                +99.59%**

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

Net asset value (NAV)
March 31, 2000                                                $37.33
March 31, 1999                                                $23.00
Increase                                                      $14.33

Distributions -- April 1, 1999 - March 31, 2000
From income                                                    $1.56
From capital gains                                             $5.82
Total distributions                                            $7.38
Total return*                                               +101.29%**

 *Returns do not include sales load. 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.

(This annual report is not part of the prospectus.)        ANNUAL REPORT - 2000

<PAGE>

The 10 Largest Holdings

_______________________________________________________________________________
                                     Percent                     Value
_______________________________________________________________________________
                                 (of net assets)        (as of March 31, 2000)
 Finisar                                 2.23%               $74,356,679
 SDL                                     2.18                 72,803,249
 Allegiance Telecom                      2.14                 71,433,749
 PCM-Sierra                              2.14                 71,290,624
 Safeguard Scientifics                   2.08                 69,356,249
 Flextronics Intl                        2.01                 67,056,499
 Mercury Interactive                     2.00                 66,574,437
 Bed Bath & Beyond                       1.84                 61,503,749
 IDEC Pharmaceuticals                    1.84                 61,402,516
 WinStar Communications                  1.75                 58,425,000

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


(icon of) pie chart
                           The 10 holdings listed here
                           make up 20.21% of net assets

AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

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
_______________________________________________________________________________

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

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

       Jan  Feb  Mar  Apr  May  Jun
                               $20
                          $18
                     $16
                $14
$15         $12
$10    $10
$ 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                     $10
            $8             $8
$ 5              $5   $5

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

     103.5                    $6.50                    $5.80
-------------------------------------------------------------------------------

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

-------------------------------------------------------------------------------
                 $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.

(This annual report is not part of the prospectus.)       ANNUAL REPORT - 2000

<PAGE>

The Fund's Long-term Performance
_______________________________________________________________________________
                How $10,000 has grown in AXP Strategy Aggressive Fund
_______________________________________________________________________________

$80,000


$70,000


$60,000
                                                               Russell Midcap
                                                                 Growth Index
$50,000
                                                            S&P 500 Index


$40,000                                         Lipper Mid-Cap Growth Index

                                              S&P MidCap 400 Index
$30,000


$20,000
                                                                        $63,809
                                                                    AXP Strategy
                                                                 Aggressive Fund
                                                                        Class B
$10,000

'90    '91    '92     '93     '94     '95     '96     '97     '98    '99     '00

_______________________________________________________________________________
Average annual total returns (as of March 31, 2000)
_______________________________________________________________________________

              1 year       5 years    10 years (B)  Since inception (A &Y)
 Class A     +89.41%       +31.94%       --%                +31.78%*
 Class B     +95.59%       +32.45%   +20.36%                    --%
 Class Y    +101.29%       +33.68%       --%                +33.49%*

* Inception date was March 20, 1995.

Assumes:  Holding  period from 4/1/90 to 3/31/00.  Returns do not reflect  taxes
payable  on   distributions.   Reinvestment  of  all  income  and  capital  gain
distributions for the Fund has a value of $35,573.  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 four
widely cited performance indexes,  Standard & Poor's MidCap 400 Index (S&PMidCap
400 Index),  Russell  Midcap(R)  Growth Index,  Lipper  Mid-Cap Growth Index and
Standard & Poor's 500 Index (S&P 500  Index).  Recently,  the Fund's  investment
manager  recommended to the Fund that the Fund change its comparative index from
the S&P 500 Index to the S&P MidCap 400 Index. The investment  manager made this
recommendation  because  the  new  index  more  closely  represents  the  Fund's
holdings.  We will include both indexes in this  transition  year. In the future
however,  only the S&P MidCap 400 Index will be included.  Sales 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 of 5%.
This was a period of widely fluctuating  security prices. Past performance is no
guarantee of future results.

AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

S&P  MidCap 400 Index,  an  unmanaged  market-weighted  index,  consists  of 400
domestic   stocks  chosen  for  market  size,   liquidity  and  industry   group
representation. The index reflects reinvestment of all distributions and changes
in market prices, but excludes brokerage commissions or other fees.

The Fund may  invest in stocks  that may not be  listed  in the  index.  Russell
Midcap  Growth  Index,  an  unmanaged  list  of  common  stocks,   measures  the
performance of those Russell Midcap companies with higher  price-to-book  ratios
and higher forecasted growth values.  The stocks are also members of the Russell
1000 Growth Index.

Lipper  Mid-Cap  Growth  Index,  an  unmanaged  index  published by Lipper Inc.,
includes the 30 largest funds that are generally  similar to the Fund,  although
some  funds in the index may have  somewhat  different  investment  policies  or
objectives.

S&P 500 Index,  an unmanaged  list of common  stocks,  is  frequently  used as a
general measure of market  performance.  The index reflects  reinvestment of all
distributions and changes in market prices, but excludes  brokerage  commissions
or other fees. However, the S&P 500 companies may be generally larger than those
in which the Fund  invests.

(This annual report is not part of the prospectus.)        ANNUAL REPORT - 2000

<PAGE>

The  financial   statements   contained  in  Post-Effective   Amendment  #37  to
Registration  Statement  No.  2-89288  filed  on or  about  May  17,  2000,  are
incorporated herein by reference.

<PAGE>

Federal Income Tax Information

(Unaudited)

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 are reported to you on Form 1099-DIV, Dividends
and  Distributions.  Shareholders  should consult a tax advisor on how to report
distributions for state and local tax purposes.

AXP Strategy Aggressive Fund Fiscal year ended March 31, 2000

Class A

Income distribution  taxable as dividend income,  0.38% qualifying for deduction
by corporations.

Payable date                                 Per share

Dec. 23, 1999                                 $1.56299

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $5.81796
Total distributions                           $7.38095

The  distribution  of $7.38095 per share,  payable  Dec. 23, 1999,  consisted of
$1.56299  from net  short-term  capital  gains and $5.81796  from net  long-term
capital gains.

(This annual report is not part of the prospectus.)        ANNUAL REPORT - 2000

<PAGE>

Class B

Income distribution  taxable as dividend income,  0.38% qualifying for deduction
by corporations.

Payable date                                 Per share

Dec. 23, 1999                                 $1.56299

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $5.81796
Total distributions                           $7.38095

The  distribution  of $7.38095 per share,  payable  Dec. 23, 1999,  consisted of
$1.56299  from net  short-term  capital  gains and $5.81796  from net  long-term
capital gains.

Class Y

Income distribution  taxable as dividend income,  0.38% qualifying for deduction
by corporations.

Payable date                                 Per share

Dec. 23, 1999                                 $1.56299

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $5.81796
Total distributions                           $7.38095

The  distribution  of $7.38095 per share,  payable  Dec. 23, 1999,  consisted of
$1.56299  from net  short-term  capital  gains and $5.81796  from net  long-term
capital gains.

AXP STRATEGY AGGRESSIVE FUND (This annual report is not part of the prospectus.)

<PAGE>

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<PAGE>

American
  Express(R)
Funds

AXP Strategy Aggressive Fund
200 AXP Financial Center
Minneapolis, MN 55474

                                PRSRT STD AUTO
                                 U.S. POSTAGE
                                    PAID
                                  AMERICAN                     American
                                   EXPRESS                       Express
                                                              (R)

                                                                S-6381 J (5/00)

Distributed by American Express  Financial  Advisors Inc. Member NASD.  American
Express Company is separate from American Express Financial Advisors Inc. and is
not a broker-dealer.

<PAGE>

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)   There are pictures, icons                   2)  Each picture, icon and
     and graphs throughout the                       graph is described in
     annual report.                                  parentheses.




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