AXP NEW DIMENSIONS FUND INC /MN/
N-30D, 2000-10-03
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                                                                      AXPSM New
                                                                     Dimensions
                                                                        Fund(R)

                                                             2000 ANNUAL REPORT
                                                          (PROSPECTUS ENCLOSED)


American
  Express(R)
Funds

(icon of) ruler


AXP New Dimensions 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.)

<PAGE>

Fast-track Stocks

What type of stock has been the  driving  force  behind the  dramatic  increases
posted by U.S. and foreign stock  markets in recent years?  The answer is growth
stocks -- that is,  stocks of companies  that have a track record of  increasing
their  business  and profits at a rapid pace.  These  companies,  some large and
well-known,  others smaller and newly discovered, form the foundation of AXP New
Dimensions  Fund.  The Fund looks for  companies  from around the world that not
only have a history  of  continuous  growth,  but are  believed  to be poised to
continue  growing  over  the  long  term  due  to  their  management,  marketing
innovation and/or technological advances.

AXP NEW 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
The Fund's Long-term Performance                  10
Independent Auditors' Report (Fund)               12
Financial Statements (Fund)                       13
Notes to Financial Statements (Fund)              16
Independent Auditors' Report (Portfolio)          25
Financial Statements (Portfolio)                  26
Notes to Financial Statements (Portfolio)         29
Investments in Securities                         34
Federal Income Tax Information                    45

                                                          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
The past 12 months was a volatile but  ultimately  productive  period for growth
stocks and AXP New  Dimensions  Fund. For the fiscal year -- August 1999 through
July 2000 -- the Fund's Class A shares  generated a total return  (excluding the
sales  charge) of 23.16%.  (A portion of the Fund's return came in the form of a
capital gain, which was distributed to shareholders in December 1999 and reduced
the Fund's net asset value by the same amount at that time.)

The stock market labored without success early in the period,  as concerns about
higher interest rates,  potentially  higher inflation and the possible impact of
the Y2K computer bug weighed on investors' minds. But by mid-October,  buoyed by
fresh reports of

AXP NEW DIMENSIONS FUND

<PAGE>

still-low inflation,  generally healthy corporate profits and growing excitement
regarding the Internet,  stocks were gaining ground.  Within weeks,  the advance
turned into a remarkable  rally that gathered  momentum  through the end of 1999
and ultimately reached a peak in early March.

(picture of) Douglas Guffy
Douglas Guffy
Portfolio manager

(picture of) Anne Obermeyer
Anne Obermeyer
Portfolio manager

PSYCHOLOGY SHIFT
At that point,  the  psychology  of the market  underwent an abrupt  change from
optimism to pessimism regarding inflation, interest rates and corporate profits.
Compounding  the situation was increasing  concern that sky-high prices for many
technology-related  stocks had reached  unjustifiable levels. The result for the
market,  especially the technology  sector,  was a sharp spring  downturn,  from
which it struggled to recover over the summer months.

While the pattern of the Fund's performance generally tracked that of the market
as a whole for the 12 months,  good  stock  selection  allowed it to  generate a
far-better return.

Clearly driving the Fund's gains were technology and telecommunications  stocks,
which made up nearly half of the portfolio at times.  The main areas of emphasis
were semiconductors, software, networking and wireless communications, with IBM,
Cisco Systems and JDS Uniphase among the largest and more productive holdings.

Given the  overall  lofty  prices of such  stocks,  we reduced  holdings  in the
technology/telecommunications  area in the spring and summer, while we increased
investments in energy,  health-care and financial stocks.  That strategy had the
desired  effect of lessening the  volatility  in the Fund's net asset value,  as
well as allowing the Fund to reap some gains resulting from improved performance
by those three sectors.

Looking  toward the new fiscal  year,  while the  economy  remains on the growth
track,  the stock  market  may,  at least  over the near  term,  continue  to be
buffeted by concerns about inflation,  interest rates and corporate profits. But
as the year  progresses,  we  expect  to see a  gradually  improving  investment
environment that will reward stocks with solid growth credentials.



Gordon M. Fines



Douglas Guffy



Anne Obermeyer

                                                          ANNUAL REPORT - 2000
<PAGE>

Fund Facts

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

Net asset value (NAV)
July 31, 2000                                                $36.26
July 31, 1999                                                $31.21
Increase                                                     $ 5.05

Distributions -- Aug. 1, 1999 - July 31, 2000
From income                                                  $ 0.05
From capital gains                                           $ 2.06
Total distributions                                          $ 2.11
Total return**                                              +23.16%***

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

Net asset value (NAV)
July 31, 2000                                                $35.22
July 31, 1999                                                $30.54
Increase                                                     $ 4.68

Distributions -- Aug. 1, 1999 - July 31, 2000
From income                                                  $  --
From capital gains                                           $ 2.06
Total distributions                                          $ 2.06
Total return**                                              +22.20%***

AXP NEW DIMENSIONS FUND

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

Net asset value (NAV)
July 31, 2000                                               $35.23
June 26, 2000*                                              $35.52
Decrease                                                      0.29

Distributions -- June 26, 2000* - July 31, 2000
From income                                                 $  --
From capital gains                                          $  --
Total distributions                                         $  --
Total return** -                                            -0.82%***

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

Net asset value (NAV)
July 31, 2000                                               $36.33
July 31, 1999                                               $31.24
Increase                                                    $ 5.09

Distributions -- Aug. 1, 1999 - July 31, 2000
From income                                                 $ 0.09
From capital gains                                          $ 2.06
Total distributions                                         $ 2.15
Total return**                                             +23.35%***

  * Inception date
 ** 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                                 4.05%           $1,230,224,999
 General Electric                              3.39             1,028,750,000
 Citigroup                                     3.32             1,009,135,347
 Exxon Mobil                                   3.29               999,986,050
 Wal-Mart Stores                               3.22               977,887,500
 JDS Uniphase                                  3.11               945,000,000
 Intel                                         3.08               934,500,000
 EMC                                           2.80               851,250,000
 Viacom Cl B                                   2.62               795,750,000
 Morgan Stanley, Dean Witter, Discover & Co    2.40               730,000,000

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 31.28% of net assets


AXP NEW 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.

                                                          ANNUAL REPORT - 2000

<PAGE>

The Fund's Long-term Performance

           How your $10,000 has grown in AXP New Dimensions Fund

$60,000

                                                           X
                                                      S&P 500           X
$50,000                                                Index         $57,176
                                                                     AXP New
                                                  X               Dimensions
$40,000                                    Russell 1000(R)       Fund Class A
                                             Growth Index
                                                          X
                                                  Lipper Large-Cap
                                                     Growth Index
$30,000


$20,000


$9,425


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

Average Annual Total Returns (as of July 31, 2000)

                1 year       5 years     10 years (A)      Since inception (B&Y)
 Class A        +16.07%      +22.09%          +19.05%                 --%
 Class B        +18.20%      +22.52%              --%             +24.35%*
 Class Y        +23.35%      +23.70%              --%             +25.53%*

* Inception date was March 20, 1995.

Assumes:  Holding  period from 8/1/90 to 7/31/00.  Returns do not reflect  taxes
payable  on   distributions.   Reinvestment  of  all  income  and  capital  gain
distributions for the Fund has a value of $27,181.  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,  Standard &Poor's 500 Index (S&P 500 Index),
Russell 1000(R) Growth Index and the Lipper Large-Cap Growth Index. In comparing
AXP New  Dimensions  Fund (Class A) to the three  indexes,  you should take into
account the fact that the Fund's  performance  reflects the maximum sales charge
of 5.75%,  while  such  charges  are not  reflected  in the  performance  of the
indexes.  Class  C went  effective  June  26,  2000  and  therefore  performance
information is not presented.

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
5.75%. This was a period of widely fluctuating security prices. Past performance
is no guarantee of future results.

AXP NEW DIMENSIONS FUND

<PAGE>

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 Portfolio invests.

Russell  1000(R) Growth Index, an unmanaged  index,  measures the performance of
those Russell 1000 companies in the Russell 3000 Index,  which represents 92% of
the total market  capitalization of the Russell 3000 Index. These companies have
higher price-to-book ratios and higher forecasted growth values.

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

                                                           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>

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 New Dimensions Fund
Fiscal year ended July 31, 2000

Class A

Income distribution taxable as dividend income, 100% qualifying for deduction by
corporations.

Payable date                                 Per share

Dec. 23, 1999                                 $0.05833

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $2.05524
Total distributions                           $2.11357

                                                           ANNUAL REPORT - 2000

<PAGE>

Class B

Income distribution taxable as dividend income, 100% qualifying for deduction by
corporations.

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $2.05524
Total distributions                           $2.05524

Class Y

Income distribution taxable as dividend income, 100% qualifying for deduction by
corporations.

Payable date                                 Per share

Dec. 23, 1999                                 $0.09260

Capital gain distribution taxable as long-term capital gain.

Payable date                                 Per share

Dec. 23, 1999                                 $2.05524
Total distributions                           $2.14784

AXP NEW DIMENSIONS FUND

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<PAGE>

American
  Express(R)
Funds

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

                                  PRSRT STD AUTO
                                   U.S. POSTAGE
                                      PAID
                                                                      AMERICAN
                                                                       EXPRESS



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.

                                                              S-6440 T (9/00)

<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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