AXP NEW DIMENSIONS FUND INC /MN/
N-30D, 2000-10-03
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                                                                   AXPSM Growth
                                                                    Dimensions
                                                                          Fund

                                                            2000 ANNUAL REPORT
                                                          (PROSPECTUS ENCLOSED)


American
  Express(R)
Funds

(icon of) ruler


AXP Growth Dimensions Fund seeks to provide shareholders with long-term capital
growth.

(This  wrapper  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.)

<PAGE>

Profit Power

Rising  stock  prices  often go  hand-in-hand  with rising  profits.  AXP Growth
Dimensions Fund tries to identify companies with above-average  profit potential
and the staying power to provide long-term capital appreciation.


AXP GROWTH DIMENSIONS FUND

<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               4
Fund Facts                                6
The 10 Largest Holdings                   8
Making the Most of the Fund               9
Independent Auditors' Report             10
Financial Statements                     11
Notes to Financial Statements            14
Investments in Securities                25

                                                          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.

On behalf of the Board,



Arne H.Carlson


(picture of) Gordon M. Fines
Gordon M. Fines
Portfolio manager

From the Portfolio Managers
AXP  Growth  Dimensions  Fund lost a bit of  ground  during  its  brief  initial
reporting period -- June 26 (when shares became publicly available) through July
31, 2000 (the end of the Fund's  fiscal year).  Over the five weeks,  the return
for the Fund's Class A shares was -1.02%, excluding the sales charge.

AXP GROWTH DIMENSIONS FUND

<PAGE>

The period got off to a good start,  as the stock market  advanced  nicely until
mid-July. At that point, concerns about future Federal Reserve actions regarding
interest  rates and  increasing  doubts about the strength of corporate  profits
over the rest of the year spawned a two-week market  decline.  But stocks picked
up in the final days of July, to end the period on a positive  note.  The Fund's
performance basically tracked the pattern of the market during the five weeks.

(picture of) Anne Obermeyer
Anne Obermeyer
Portfolio manager

(picture of) Doug Guffy
Doug Guffy
Portfolio manager

STARTING FROM SCRATCH
Because this was a brand new fund, we spent much of the period  constructing the
portfolio,  which  consisted of 55 stocks at period-end - right in the middle of
the range we expect to hold on an  ongoing  basis.  Because of our  emphasis  on
large companies with above-average  earnings growth,  most of our purchases came
from  the  technology  sector,   including   telecommunications   equipment  and
networking stocks. Some prominent names included Cisco Systems,  Corning, Intel,
Selectron,  Microsoft and Jabil. All told, technology comprised about 50% of the
portfolio.

Although  considerably  smaller,  health  care  was  the  next-largest  area  of
investment.  Major purchases included Guidant,  Pfizer, Medtronic and Pharmacia.
The  remainder of the  investments  were widely  spread among  several  sectors,
including   financial   services  stocks  such  as  Charles   Schwab,   American
International Group and Citigroup.

As we begin a new fiscal year -- the first full one for the Fund -- we think the
investment environment is likely to improve gradually in the months ahead. While
the market  could  well be kept off  balance  over the near term by  uncertainty
about  inflation,   interest  rates,  corporate  profits  and  the  presidential
election, we see a powerful,  positive factor remaining at work: ongoing,  solid
economic  growth.  If our  outlook in that  regard is  correct,  companies  with
healthy  growth  prospects  should  ultimately  reward  investors  as  the  year
progresses.



Gordon M. Fines



Anne Obermeyer



Doug Guffy

                                                           ANNUAL REPORT - 2000
<PAGE>

Fund Facts

Class A -- June 26, 2000* - July 31, 2000
(All figures per share)

Net asset value (NAV)
July 31, 2000                                                   $4.87
June 26, 2000*                                                  $4.92
Decrease                                                        $0.05

Distributions -- June 26, 2000* - July 31, 2000
From income                                                     $ --
From capital gains                                              $ --
Total distributions                                             $ --
Total return**                                                 -1.02%***

Class B -- June 26, 2000* - July 31, 2000
(All figures per share)

Net asset value (NAV)
July 31, 2000                                                   $4.87
June 26, 2000*                                                  $4.92
Decrease                                                        $0.05

Distributions -- June 26, 2000* - July 31, 2000
From income                                                     $ --
From capital gains                                              $ --
Total distributions                                             $ --
Total return**                                                 -1.02%***

AXP GROWTH DIMENSIONS FUND

<PAGE>

Class C -- June 26, 2000* - July 31, 2000
(All figures per share)

Net asset value (NAV)
July 31, 2000                                                   $4.87
June 26, 2000*                                                  $4.92
Decrease                                                        $0.05

Distributions -- June 26, 2000* - July 31, 2000
From income                                                     $ --
From capital gains                                              $ --
Total distributions                                             $ --
Total return**                                                 -1.02%***

Class Y -- June 26, 2000* - July 31, 2000
(All figures per share)

Net asset value (NAV)
July 31, 2000                                                   $4.88
June 26, 2000*                                                  $4.92
Decrease                                                        $0.04

Distributions -- June 26, 2000* - July 31, 2000
From income                                                     $ --
From capital gains                                              $ --
Total distributions                                             $ --
Total return**                                                 -0.81%***

    * When shares became publicly available.
  ** 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.
                                                           ANNUAL REPORT - 2000

<PAGE>

The 10 Largest Holdings

                                       Percent                   Value
                                   (of net assets)       (as of July 31, 2000)
 Cisco Systems                          3.94%                $1,338,708
 Corning                                3.44                  1,166,961
 Guidant                                3.26                  1,107,570
 JDS Uniphase                           3.23                  1,097,110
 Microsoft                              3.05                  1,035,956
 Tyco Intl                              2.94                    998,895
 Intel                                  2.87                    974,549
 Solectron                              2.85                    968,422
 Pfizer                                 2.66                    902,408
 Schwab (Charles)                       2.55                    864,567

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 30.79% of net assets


AXP GROWTH DIMENSIONS FUND

<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  falls 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                      $10
$ 5         $8   $5   $5   $8

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.

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.

                                                          ANNUAL REPORT - 2000
<PAGE>

The  financial   statements   contained  in  Post-Effective   Amendment  #64  to
Registration  Statement No.  2-28529 filed on or about  September 27, 2000,  are
incorporated herein by reference.

<PAGE>

American
  Express(R)
Funds

AXP Growth Dimensions Fund
70100 AXP Financial Center
Minneapolis, MN 55474

                                 PRSRT STD AUTO
                                  U.S. POSTAGE
                                      PAID
                                                                      AMERICAN
                                                                       EXPRESS

                                                                S-6004 C (9/00)

This report must be accompanied  or preceded by the Fund's  current  prospectus.
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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