IDS STRATEGY FUND INC
N-30D, 1998-06-05
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1998 ANNUAL REPORT


IDS
Equity
Value
Fund
(prospectus enclosed)

(icon of) three growing flowers

      The goal of IDS Equity Value Fund, a part of IDS Strategy  Fund,  Inc., is
      growth  of  capital  and  income.  The Fund  invests  primarily  in equity
      securities  that  provide  income,  offer the  opportunity  for  long-term
      capital growth, or both.

      (This annual  report  includes a prospectus  that  describes in detail the
      Fund's objective,  investment  policies,  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.

<PAGE>

(icon of) three growing flowers

Stocks for the
bargain-hunter

      Just like almost everything else, prices of companies that are believed to
      be sound sometimes are reduced.  That is, for any of a variety of reasons,
      they fall out of favor with  investors  and their  stock  prices  decline.
      These so-called "value" stocks represent a classic  opportunity to buy low
      in the  market,  which is what  Equity  Value  Fund  seeks  to do.  Should
      investors rediscover the potential of such companies,  the stocks may well
      recover and benefit shareholders accordingly.


<PAGE>

(icon of) One open book inside of another.

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

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

 Contents

                1998 annual report

                From the chairman                                    4
                From the portfolio manager                           4
                The Fund's ten largest holdings                      6
                Making the most of the Fund                          7
                The Fund's long-term performance                     8
                Independent auditors' report                         9
                Financial statements                                10
                Notes to financial statements                       13
                Investments in securities                           29
                IDS mutual funds                                    33
                Federal income tax information                      37

                1998 prospectus

                The Fund in brief                                   3p

                Goal                                                3p
                Investment policies and risks                       3p
                Manager and distributor                             3p
                Portfolio manager                                   3p
                Alternative purchase arrangements                   3p

                Sales charge and Fund expenses                      4p

                Performance                                         6p

                Financial highlights                                6p
                Total returns                                       8p

                Investment policies and risks                      11p

                Facts about investments and their risks            11p
                Alternative investment option                      16p
                Valuing Fund shares                                16p

                How to purchase, exchange or redeem shares         17p

                Alternative purchase arrangements                  17p
                How to purchase shares                             20p
                How to exchange shares                             23p
                How to redeem shares                               24p
                Reductions and waivers of the sales charge         29p
                Special shareholder services                       33p

                Services                                           33p
                Quick telephone reference                          33p

                Distributions and taxes                            34p

                Dividend and capital gain distributions            34p
                Reinvestments                                      35p
                Taxes                                              36p
                How to determine the correct TIN                   38p

                How the Fund is organized                          39p

                Shares                                             39p
                Voting rights                                      39p
                Shareholder meetings                               39p
                Board members and officers                         40p
                Investment manager                                 42p
                Administrator and transfer agent                   42p
                Distributor                                        43p

                About American Express Financial Corporation       44p

                General information                                44p
                Year 2000                                          45p

                Appendix                                           46p

                Descriptions of derivative instruments             46p



               (This annual report is not part of the prospectus.)

<PAGE>

 To our shareholders


      From the chairman

      If you're an experienced  investor,  you know that the past few years have
      been  unusually  strong  in  many  financial  markets.   Perhaps  just  as
      important,  history  shows that bull markets  don't last  forever.  Though
      they're  often  unpredictable,   declines  --  whether  they're  brief  or
      long-lasting,  moderate or substantial -- are always a possibility. We saw
      evidence of that last October,  when  declines in Asian markets  spawned a
      sharp drop in several financial markets worldwide,  including the U.S. 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.

      Before closing,  I also want to introduce a new portfolio manager for this
      fund -- Kurt  Winters,  who assumed  that role this past  December.  For a
      review of the past fiscal year, please consult his letter, which begins on
      this page.





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


(This annual report is not part of the prospectus.)

<PAGE>

      From the portfolio manager

      Although  unable to keep up with the often red-hot pace of the broad stock
      market,  IDS Equity Value Fund  generated a substantial  return during the
      past fiscal year.  For the 12 months -- April 1997  through  March 1998 --
      investors  in the  Fund's  Class A were  rewarded  with a total  return of
      33.6%.

      Fueled by a low rate of inflation,  generally favorable long-term interest
      rates, solid economic growth and good corporate earnings, the stock market
      unleashed  a  powerful  rally that  began  shortly  after the start of the
      period.  By  autumn,  though,  the market  had  cooled,  and over the next
      several months, stocks moved in fits and starts but ultimately could do no
      more than hold their ground.

      It took until February before the market could mount a meaningful advance.
      By then, concerns related to a financial crisis in Asia had simmered down,
      and ongoing reports of low inflation and generally good corporate  profits
      had begun to restore investors'  confidence.  The result was a sharp surge
      by stocks during the final two months of the period.

      As for the Fund, its  value-oriented  investment  style was forced to play
      second fiddle to the high-powered, large-capitalization growth stocks that
      have generally led the market in recent years. Nevertheless,  the Fund did
      participate  in the  market's  advances  while  faring  better  during the
      downturns.  The latter point was  especially  evident last fall,  when the
      outbreak of the Asian crisis sent the U.S.  market  reeling.  Although it,
      too, lost some ground,  the Fund  experienced  considerably  less negative
      impact.  That is the history of this Fund -- a more muted response to both
      the upturns and downturns in the market.

      A repositioned portfolio

      Upon becoming manager of the Fund last January, I implemented some changes
      to make it somewhat less  conservative in its investment  approach.  These
      included:  reducing the level of cash reserves from about 23% of assets to
      about 11% and  increasing  holdings among  technology-related  stocks from
      virtually  zero to about 7%. Both of these  shifts  proved  beneficial  to
      performance  when the market took off in February and March and technology
      stocks rebounded from a difficult fall and winter.

      Looking to the current  fiscal year,  should stocks keep rising,  the Fund
      should be able to  participate  more  fully now than in the past,  largely
      because  of the  reduced  cash  reserves.  On the  other  hand,  if  stock
      performance  weakens,  I believe the Fund's value orientation should allow
      it to perform relatively well compared with the market as a whole.





      Kurt Winters
      (picture of) Kurt Winters
      Kurt Winters
      Portfolio manager



               (This annual report is not part of the prospectus.)

<PAGE>


Class A
 12-month performance

(All figures per share)

Net asset value (NAV)

March 31, 1998       $12.85
March 31, 1997       $11.62
Increase             $ 1.23

Distributions
April 1, 1997 - March 31, 1998

From income          $  0.84
From capital gains   $  1.55
Total distributions  $  2.39
Total return*          +33.6%**

Class B
 12-month performance

(All figures per share)

Net asset value (NAV)
March 31, 1998       $12.85
March 31, 1997       $11.63
Increase             $ 1.22

Distributions
April 1, 1997 - March 31, 1998


From income          $ 0.74

From capital gains   $ 1.55
Total distributions  $ 2.29
Total return*         +32.6%**

Class Y
 12-month performance

(All figures per share)

Net asset value (NAV)
March 31, 1998       $12.87
March 31, 1997       $11.64
Increase             $ 1.23

Distributions
April 1, 1997 - March 31, 1998

From income          $ 0.85
From capital gains   $ 1.55
Total distributions  $ 2.40
Total return*         +33.8%**

      * 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.)

<PAGE>

 The Fund's ten largest holdings


                                              Percent               Value
                               (of Fund's net assets)    (as of March 31, 1998)

       Amoco                                    3.13%         $86,375,000

       Royal Dutch Petroleum                    3.09           85,218,749

       Mobil                                    2.42           66,648,425

       Gannett                                  2.11           58,182,813

       U S WEST Communications Group            2.03           56,118,749

       Penney (JC)                              1.92           52,905,563

       American Home Products                   1.73           47,687,499

       CMS Energy                               1.70           46,937,500

       American Stores                          1.70           46,800,000

       Ameritech                                1.61           44,493,750


(icon of) pie chart

      The ten holdings listed here make up 21.44% of the Fund's net assets


               (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.

      Using this strategy does not ensure a profit or avoid a loss if the market
      declines,  and requires that you be able to keep on investing on a regular
      basis,  even when the price of your shares  falls or the market  declines.
      Investing in this manner can be an effective way to  accumulate  shares to
      meet your long-term goals.

How dollar-cost averaging works

Month       Amount       Per-share      Number of shares purchased
            invested     market price
Jan         $100         $20            5.00 XXXXX
Feb          100          18            5.56 XXXXXx
March        100          17            5.88 XXXXXx
April        100          15            6.67 XXXXXXx
May          100          16            6.25 XXXXXXx
June         100          18            5.56 XXXXXx
July         100          17            5.88 XXXXXx
Aug          100          19            5.26 XXXXXx
Sept         100          21            4.76 XXXXx
Oct          100          20            5.00 XXXXX

(footnotes to table) By investing an equal number of dollars each
month...

(arrow in table  pointing to April) you  automatically  buy more shares when the
per share market price is low...

(arrow in table  pointing  to  September)  and fewer  shares  when the per share
market price is high.

You have paid an  average  price of only  $17.91  per share  over the 10 months,
while the average market price actually was $18.10.



               (This annual report is not part of the prospectus.)

<PAGE>

 The Fund's long-term performance

      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 and 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.

How your $10,000 has grown in IDS Equity Value Fund

                                                          $43,800
$50,000                                                IDS Equity
                                                       Value Fund
                                                          Class B

$40,000                                         S&P 500
                                                Stock Index

$30,000


$20,000
                                   Lipper Growth
                                 & Income Index

$10,000


'88   '89   '90   '91   '92   '93   '94   '95   '96   '97   '98

      Assumes: o Holding period from 4/1/88 to 3/31/98.  oReturns do not reflect
      taxes payable on  distributions.  oReinvestment  of all income and capital
      gain  distributions  for the  Fund,  with a value  of  $26,103.  Also  see
      "Performance" in the Fund's current prospectus.

      Standard & Poor's 500 Stock Index (S&P 500),  an unmanaged  list of common
      stocks, is frequently used as a general measure of market performance.

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

      Average annual total return
      (as of March 31, 1998)
                        1 year       Since inception*   5 years       10 years
       Class A         +26.93%                +23.82%       --%            --%
       Class B         +28.61%                    --%   +17.17%        +15.92%
       Class Y         +33.76%                +26.09%       --%            --%

      * Inception date was March 20, 1995.

      On the graph above you can see how the Fund's total return compared to two
      widely cited  performance  indexes,  the S&P 500 and the Lipper Growth and
      Income Fund Index.  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.

 
               (This annual report is not part of the prospectus.)
 
<PAGE>

The  financial   statements   contained  in  Post-Effective   Amendment  #30  to
Registration  Statement  No.  2-89288  filed  on or  about  May  28,  1998,  are
incorporated herein by reference.

<PAGE>
IDS mutual funds

Global/International funds

Funds in this group seek capital growth and/or income by investing primarily in
foreign securities. Foreign investments may be subject to currency fluctuations
and political and economic risks of the countries in which the investments are
made. They are high risk mutual funds with a potential for high reward.

IDS Emerging Markets Fund

Invests in a Portfolio comprised primarily of stocks of companies in developing
countries throughout the world that are believed to offer growth potential.
Seeks to provide long-term growth of capital.

(icon of) world with countries

IDS Global Growth Fund

Invests in a Portfolio comprised primarily of stocks of companies throughout the
world that are positioned to meet market needs in a changing world economy.
These companies offer above-average potential for long-term growth.

(icon of) world

IDS International Fund

Invests primarily in common stocks of foreign companies that offer potential for
superior growth. The Fund may invest up to 20% of its assets in the U.S. market.

(icon of) three flags

IDS Global Balanced Fund

Invests in stocks and bonds in, for the most part, major markets throughout the
world, including the U.S. Seeks to provide a balance of growth of capital and
current income.

(icon of) scale of globes

IDS Global Bond Fund

Invests in a Portfolio comprised primarily of debt securities of U.S. and
foreign issuers to seek high total return through income and growth of capital.

(icon of) globe

Growth funds

Funds in this group seek capital growth, primarily from common stocks. They are
high risk mutual funds with a potential for high reward.

IDS Precious Metals Fund

Invests primarily in the securities of foreign or domestic companies that
explore for, mine and process or distribute gold and other precious metals. A
highly aggressive and speculative fund that seeks long-term growth of capital.

(icon of) cart of precious gems

IDS Discovery Fund

Invests in small- and medium-size, growth-oriented companies emphasizing
technological innovation and productivity enhancement. Buys and holds larger
growth-oriented stocks.

(icon of) ship

IDS Small Company Index Fund

Invests in all or a representative group of the equity securities comprising the
S&P SmallCap 600 Index, as it strives to provide long-term capital appreciation.

(icon of) building

IDS Strategy Aggressive Fund

Invests primarily in common stocks of companies that are selected for their
potential for above-average growth. Above-average means that their growth
potential is better, in the opinion of the portfolio's investment manager, than
the Standard & Poor's Corporation (S&P) 500 Stock Index.

(icon of) chess piece

IDS Research Opportunities Fund

Invests in a Portfolio comprised primarily of equity securities of companies
included in the S&P 500 Index that are believed to have strong growth potential.
The Portfolio is managed using a research methodology by the Research Department
of AEFC. Goal is long-term appreciation.

(icon of) magnifying glass

(This annual report is not part of the prospectus.)

<PAGE>

IDS mutual funds

IDS Growth Fund

Invests in a Portfolio comprised primarily of companies that have above-average
potential for long-term growth as a result of new management, marketing
opportunities or technological superiority.

(icon of) trees

IDS New Dimensions Fund

Invests in a Portfolio comprised primarily of companies with
significant growth potential due to superiority in
technology, marketing or management. The Fund frequently
changes its industry mix.

(icon of) dimension

IDS Progressive Fund

Invests primarily in undervalued common stocks. The Fund holds stocks for the
long term with the goal of capital growth.

(icon of) shooting star

Growth & income funds

These funds focus on securities of medium to large,  well-established  companies
that offer long-term growth of capital and reasonable  income from dividends and
interest.  Foreign  investments  may be subject  to  currency  fluctuations  and
political and economic risks of the countries in which the investments are made.

IDS Equity Select Fund

Invests primarily in a combination of moderate growth stocks, higher-yielding
equities and bonds. Seeks growth of capital and income.

(icon of) three pine trees

IDS Blue Chip Advantage Fund

Invests in selected stocks from a major market index. Securities purchased are
those recommended by our research analysts as the best from each industry
represented on the index. Offers potential for long-term growth as well as
dividend income.

(icon of) ribbon

IDS Managed Allocation Fund

Invests in a Portfolio comprised primarily of U.S. equity securities, U.S. and
foreign debt securities, foreign equity securities and money market instruments.
The Fund provides diversification among these major investment categories and
has a target mix that represents the way the Fund's investments will be
allocated over the long term. Seeks maximum total return.

(icon of) gyroscope

IDS Stock Fund

Invests  in a  Portfolio  comprised  primarily  of  common  stock  of  companies
representing  many sectors of the economy.  Seeks  current  income and growth of
capital.

(icon of) building with columns

IDS Equity Value Fund

Invests primarily in undervalued common stocks that offer potential for growth
of capital and income.

(icon of) three growing flowers

IDS Utilities Income Fund

Invests primarily in the stocks of public utility companies to seek high current
income and growth of income and capital with reduced volatility.

(icon of) light bulb

IDS Diversified Equity Income Fund

Invests in a Portfolio comprised primarily in high-yielding common stocks to
seek high current income and, secondarily, to benefit from the growth potential
offered by stock investments.

(icon of) two puzzle pieces

IDS Mutual

Invests in a Portfolio which seeks to balance between common stocks and senior
securities (preferred stocks and bonds). Seeks a balance of growth of capital
and current income.

(icon of) scale of justice

(This annual report is not part of the prospectus.)

<PAGE>

Income funds

The funds in this group invest their assets primarily in corporate bonds or
government securities to seek interest income. Secondary objective is capital
growth. Risk varies by bond quality.

IDS Extra Income Fund

Invests in a Portfolio comprised mainly of long-term, high-yielding corporate
fixed-income securities in the lower rated, higher risk bond categories to seek
high current income. Secondary objective is capital growth.

(icon of) two coins

IDS Bond Fund

Invests mainly in corporate bonds, at least 50% in the higher rated, lower risk
bond categories, or the equivalent, and in government bonds.

(icon of) Greek column

IDS Selective Fund

Invests in a Portfolio comprised primarily of high-quality corporate bonds and
other highly rated debt instruments including government securities and
short-term investments. Seeks current income and preservation of capital.

(icon of) skyline

IDS Federal Income Fund

Invests in a Portfolio comprised primarily of securities issued or guaranteed as
to the timely payment of principal and interest by the U.S. government, its
agencies and instrumentalities. Seeks a high level of current income and safety
of principal consistent with its type of investments.

(icon of) shield with eagle head

Tax-exempt income funds

These funds provide tax-free income by investing in municipal bonds. The income
is generally free from federal income tax, but a portion of the income may be
subject to state and local taxes. Risk varies by bond quality.

IDS Tax-Exempt Bond Fund

Invests mainly in bonds and notes of state or local government units, with at
least 75% in the four highest rated, lowest risk bond categories.

(icon of) shield with Greek column

IDS Insured Tax-Exempt Fund

Invests primarily in municipal securities that are insured as to the timely
payment of principal and interest. The insurance feature minimizes credit risk
of the Fund but does not guarantee the market value of the Fund's shares.

(icon of) shield with star

IDS State Tax-Exempt Funds
(CA, MA, MI, MN, NY, OH)

Invests primarily in high- and medium-grade municipal securities to provide
income to residents of each respective state that is exempt from federal, state
and local income taxes. (New York is the only state that is exempt at the local
level.)

(icon of) shield with U.S. enclosed

IDS High Yield Tax-Exempt Fund

Invests in a Portfolio comprised primarily of medium- and lower-quality
municipal bonds and notes. Lower-quality securities generally involve greater
risk of principal and income.

(icon of) shield with basket of apples enclosed

IDS Intermediate Tax-Exempt Fund

Invests in mainly investment-grade bonds and other debt securities with
intermediate-term maturities issued by state and local government units. Goal is
to seek a high level of current income exempt from federal taxes.

(icon of) shield with tree enclosed

(This annual report is not part of the prospectus.)

<PAGE>

IDS mutual funds

Money market funds

These  money  market  funds have  three main  goals:  conservation  of  capital,
constant liquidity and the highest possible current income consistent with these
objectives.  An investment in these funds is neither  insured nor  guaranteed by
the U.S. government, and there can be no assurance that these funds will be able
to maintain a stable net asset value of $1.00 per share. Very limited risk.

IDS Cash Management Fund

Invests in such money market securities as high quality commercial paper,
bankers' acceptances, certificates of deposit (CDs) and other bank securities.

(icon of) piggy bank

IDS Tax-Free Money Fund

Invests primarily in short-term bonds and notes issued by state and local
governments to seek high current income exempt from federal income taxes.

(icon of) shield with piggy bank enclosed

For more complete information about any of these funds, including charges and   
expenses, you can obtain a prospectus by contacting your financial advisor or
writing to American Express Shareholder Service, P.O. Box 534, Minneapolis, MN
55440-0534. Read it carefully before you invest or send money.

(This annual report is not part of the perspectus.)


<PAGE>

 Federal income tax information

      IDS Equity Value Fund

      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 Equity Value Fund, Inc.
      Fiscal year ended March 31, 1998

      Class A

       Income distributions

       taxable  as  dividend income,   43.81%   qualifying   for  deduction  by
       corporations.
 
       Payable date                                     Per share

       June 27, 1997                                     $0.08427
       Sept. 26, 1997                                     0.09534
       Dec. 29, 1997                                      0.60156
       March 27, 1998                                     0.04986

       Total                                             $0.83103

       Capital gain distribution 

       taxable for long-term capital gain.
       Payable date                                     Per share
       Dec. 29, 1997                                     $1.55404
       Total distributions                               $2.38507

      The distribution of $2.15560 per share,  payable Dec. 29, 1997,  consisted
      of $0.06382  from net  investment  income,  $0.53774  from net  short-term
      capital  gains  (a total of  $0.60156  taxable  as  dividend  income)  and
      $1.55404 from net long-term capital gains.

      The  long-term  capital  gains  distribution  is  divided  into  two  rate
      categories: 28% - $0.72791 and 20% - $0.82613.

(This annual report is not part of the prospectus.)

<PAGE>

Federal income tax information

       Class B

       Income distributions
 
       taxable  as  dividend income,   43.81%   qualifying  for  deductions  by
       corporations.

       Payable date                                        Per share
       
       June 27, 1997                                        $0.06075
       Sept. 26, 1997                                        0.06962
       Dec. 29, 1997                                         0.57499
       March 27, 1998                                        0.02795
       
       Total                                                $0.73331
       
       Capital gain distribution

       taxable for long-term capital gain.
       
       Payable date                                        Per share
       Dec. 29, 1997                                        $1.55404
       Total distributions                                  $2.28735

      The distribution of $2.12903 per share,  payable Dec. 29, 1997,  consisted
      of  $0.03725  from net  investment  income,  0.53774  from net  short-term
      capital  gains  (a total of  $0.57499  taxable  as  dividend  income)  and
      $1.55404 from net long-term capital gains.

      The  long-term  capital  gains  distribution  is  divided  into  two  rate
      categories: 28% - $0.72791 and 20% - $0.82613.

(This annual report is not part of the prospectus.)

<PAGE>

      Class Y

       Income distributions

       taxable  as  dividend income,   43.81%   qualifying   for  deduction  by
       corporations.

       Payable date                                   Per share
       
       June 27, 1997                                   $0.08879
       Sept. 26, 1997                                   0.10012
       Dec. 29, 1997                                    0.60582
       March 27, 1998                                   0.05227
       
       Total                                           $0.84700
       
       Capital gain distribution

       taxable for long-term capital gain.
      
       Payable date                                   Per share
       Dec. 29, 1997                                   $1.55404
       Total distributions                             $2.40104

      The distribution of $2.15986 per share,  payable Dec. 29, 1997,  consisted
      of $0.06808  from net  investment  income,  $0.53774  from net  short-term
      capital  gains  (a total of  $0.60582  taxable  as  dividend  income)  and
      $1.55404 from net long-term capital gains.

      The  long-term  capital  gains  distribution  is  divided  into  two  rate
      categories: 28% - $0.72791 and 20% - $0.82613.


               (This annual report is not part of the prospectus.)

<PAGE>

Quick telephone reference

American Express            Redemptions and exchanges,       National/Minnesota 
Financial Advisors          dividend payments or                   800-437-3133
Telephone Transaction       reinvestments and automatic
Service                     payment arrangements           Mpls./St. Paul area:
                                                                       671-3800

TTY Service                 For the hearing impaired               800-846-4852




American Express            Automated account information          800-862-7919
Financial Advisors          (TouchTone(R) phones only),           
Easy Access Line            including current fund prices
                            and performance, account values 
                            and recent account transactions           



AMERICAN EXPRESS Financial Advisors


IDS Equity Value Fund
IDS Tower 10
Minneapolis, MN 55440-0010
<PAGE>

1998 ANNUAL REPORT


IDS
Strategy
Aggressive
Fund
(prospectus enclosed)

(icon of) chess piece

The goal of IDS Strategy Aggressive Fund, a part of IDS Strategy Fund, Inc., is
long-term growth of capital. The Fund invests primarily in common stocks that
are selected for their above-average growth potential.

(This annual report includes a prospectus that describes in detail the Fund's
objective, investment policies, 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.

<PAGE>

(icon of) chess piece

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.

<PAGE>

(icon of) One open book inside of another.

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

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

 Contents

                1998 annual report

                From the chairman                                      4
                From the portfolio manager                             4
                The Fund's ten largest holdings                        6
                Making the most of the Fund                            7
                The Fund's long-term performance                       8
                Independent auditors' report                           9
                Financial statements                                  10
                Notes to financial statements                         13
                Investments in securities                             22
                IDS mutual funds                                      26
                Federal income tax information                        30

                1998 prospectus

                The Fund in brief                                     3p

                Goal                                                  3p
                Investment policies and risks                         3p
                Manager and distributor                               3p
                Portfolio manager                                     3p
                Alternative purchase arrangements                     3p

                Sales charge and Fund expenses                        4p

                Performance                                           6p

                Financial highlights                                  6p
                Total returns                                         8p

                Investment policies and risks                        10p

                Facts about investments and their risks              10p
                Alternative investment option                        16p
                Valuing Fund shares                                  16p

                How to purchase, exchange or redeem shares           17p

                Alternative purchase arrangements                    17p
                How to purchase shares                               19p
                How to exchange shares                               22p
                How to redeem shares                                 22p
                Reductions and waivers of the sales charge           27p

                Special shareholder services                         34p

                Services                                             34p
                Quick telephone reference                            34p

                Distributions and taxes                              35p

                Dividend and capital gain distributions              35p
                Reinvestments                                        36p
                Taxes                                                37p
                How to determine the correct TIN                     38p

                How the Fund is organized                            39p

                Shares                                               39p
                Voting rights                                        40p
                Shareholder meetings                                 40p
                Board members and officers                           40p
                Investment manager                                   42p
                Administrator and transfer agent                     42p
                Distributor                                          43p

                About American Express Financial Corporation         45p

                General information                                  45p

                Year 2000                                            46p

                Appendix                                             47p

                Descriptions of derivative instruments               47p




      (This annual report is not part of the prospectus.)

<PAGE>

 To our shareholders


      From the chairman

      If you're an experienced investor, you know that the past few years have
      been unusually strong in many financial markets. Perhaps just as
      important, history shows that bull markets don't last forever. Though
      they're often unpredictable, declines -- whether they're brief or
      long-lasting, moderate or substantial -- are always a possibility. We saw
      evidence of that last October, when declines in Asian markets spawned a
      sharp drop in several financial markets worldwide, including the U.S.

      The 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.

      Before closing, I also want to introduce a new interim portfolio manager
      for this Fund. Louis Giglio assumed that role in April, shortly after the
      end of the fiscal year. For a review of the past period, please consult
      the accompanying letter from David Bayer, the Fund's manager during that
      time.



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


<PAGE>



      From the portfolio manager

      A strong stock market and an improved performance by mid-size growth
      stocks combined for a highly rewarding fiscal year for IDS Strategy
      Aggressive Fund. For the 12 months -- April 1997 through March 1998 --
      investors in Class A shares realized a total return of 46.2%.

      The period began almost on cue with a rebound by the stock market, which
      had been in a slump brought by a rise in long-term interest rates. By May,
      the market had reached full speed, which it maintained through much of the
      summer.

      From that point, stocks spent the next several months making essentially
      no progress, as periodic concerns about inflation and, beginning last
      fall, financial crisis in Asia kept stocks off balance much of the time.
      It wasn't until this past February that investors became satisfied that
      inflation was still under control and that the `Asian flu' wasn't going to
      severely penalize corporate profits. That was enough to send stocks
      soaring over the final two months of the period.

      (This annual report is not part of the prospectus.)

      Market begins
      to broaden out

      Through the first several months of the period, stocks of large, blue-chip
      companies (commonly called `large-caps') maintained their long-time
      leadership role in the market. But by summer small- and mid-cap stocks
      began to pick up the pace and, in fact, even outperformed their larger
      counterpoints at times over the ensuing months.

      This `broadening out' of the market worked to the advantage of this fund,
      which primarily focuses on mid-cap stocks of rapidly growing companies.
      While its largest areas of investment remained in the technology, health
      care and business services sectors, the Fund's best-performing stocks
      represented a wide range of businesses that also included financial
      services, telecommunications, travel/leisure, media and retailing.

      A long-term growth strategy

      Although I added a number of new stocks to the portfolio, I didn't alter
      my fundamental strategy of investing in companies - most of them mid-size,
      or mid-cap that are leaders in their respective markets and boast
      excellent long-term growth prospects. Because I try to hold stocks long
      enough for them to reach what I feel is their full potential, portfolio
      turnover was relatively low during the 12 months. The only notable change
      was a reduction in stocks of telecommunications and semiconductor
      companies late last year, a strategy designed to lessen the negative
      impact of the Asian crisis.

      Although my tenure as portfolio manager ended this past April, I can offer
      that I believe the Fund's future, certainly for the near term, is
      genuinely bright. The market has recently begun to appropriately reward
      the stocks of high-quality, mid-size growth companies - the core holdings
      of this Fund. And unless there is some marked change to the positive
      investment fundamentals we still enjoy, I expect that trend to continue.





      David Bayer




      Louis Giglio
      (picture of)Louis Giglio
      Louis Giglio
      Portfolio manager


<PAGE>



Class A
 12-month performance

(All figures per share)

Net asset value (NAV)

March 31, 1998       $22.12

March 31, 1997       $18.34

Increase             $ 3.78


Distributions
April 1, 1997 - March 31, 1998


From income          $   --

From capital gains   $ 3.95

Total distributions  $ 3.95

Total return*         46.2%**

Class B
 12-month performance

(All figures per share)

Net asset value (NAV)

March 31, 1998       $21.48

March 31, 1997       $18.04

Increase             $ 3.44


Distributions
April 1, 1997 - March 31, 1998


From income          $   --

From capital gains   $ 3.95

Total distributions  $ 3.95

Total return*         45.1%**

Class Y
 12-month performance

(All figures per share)

Net asset value (NAV)

March 31, 1998       $22.22

March 31, 1997       $18.40

Increase             $ 3.82


Distributions
April 1, 1997 - March 31, 1998


From income          $   --

From capital gains   $ 3.95

Total distributions  $ 3.95

Total return*         46.3%**

      * The prospectus discusses the effect of the sales charge, 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.)

<PAGE>


 The Fund's ten largest holdings


                                              Percent                Value
                               (of Fund's net assets)     (as of March 31, 1998)

       HBO & Co                                 4.85%          $69,896,137

       PeopleSoft                               4.44            63,952,087

       Paychex                                  2.71            38,934,735

       Cisco Systems                            2.65            38,122,480

       Robert Half Intl                         2.59            37,288,800

       Outdoor Systems                          2.28            32,871,093

       Finova Group                             2.08            29,979,150

       Health Management Associates Cl A        1.94            27,980,222

       Cadence Design Systems                   1.92            27,609,974

       Promus Hotel                             1.83            26,359,909



(icon of) pie chart

The ten holdings listed here make up 27.29% of
the Fund's net assets


      (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.

      Using this strategy does not ensure a profit or avoid a loss if the market
      declines, and requires that you be able to keep on investing on a regular
      basis, even when the price of your shares falls or the market declines.
      Investing in this manner can be an effective way to accumulate shares to
      meet your long-term goals.

How dollar-cost averaging works

Month       Amount       Per-share      Number of shares purchased
            invested     market price
Jan         $100         $20            5.00 XXXXX
Feb          100          18            5.56 XXXXXx
March        100          17            5.88 XXXXXx
April        100          15            6.67 XXXXXXx
May          100          16            6.25 XXXXXXx
June         100          18            5.56 XXXXXx
July         100          17            5.88 XXXXXx
Aug          100          19            5.26 XXXXXx
Sept         100          21            4.76 XXXXx
Oct          100          20            5.00 XXXXX

(footnotes to table) By investing an equal number of dollars each
month...

(arrow in table  pointing to April) you  automatically  buy more shares when the
per share market price is low...

(arrow in table  pointing  to  September)  and fewer  shares  when the per share
market price is high.

You have paid an  average  price of only  $17.91  per share  over the 10 months,
while the average market price actually was $18.10.


      (This annual report is not part of the prospectus.)

<PAGE>


 The Fund's long-term performance


      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. And 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.

How your $10,000 has grown in IDS Strategy Aggressive Fund

                                    
$50,000                             
                                    
                                              S&P 500 
                                          Stock Index
$40,000            Russell Midcap             
                     Growth Index   

$30,000                                               $41,681
                                                 IDS Strategy
                                              Aggressive Fund
$20,000                                               Class B
                   Lipper Small Cap
                         Fund Index

$10,000


'88   '89   '90   '91   '92   '93   '94   '95   '96   '97   '98


      Assumes:  oHolding period from 4/1/88 to 3/31/98.  oReturns do not reflect
      taxes payable on  distributions.  oReinvestment  of all income and capital
      gain  distributions  for the  Fund,  with a value of  $18,247.  o Also see
      "Performance" in the Fund's current prospectus.

      Standard &Poor's 500 Stock Index (S&P500), an unmanaged list of common
      stocks, is frequently used as a general measure of market performance.
      However, the S&P500 companies are generally larger than those in which the
      Fund invests.

      Lipper Small Cap Fund Index includes 30 funds that are generally similar
      to the Fund, although some funds in the index may have somewhat different
      investment policies or objectives.

      Russell Midcap Growth Index, an unmanaged list of common stocks, measures
      the performance of the 800 smallest companies in the Russell 1000 Index,
      representing approximately 35% of the total market capitalization of the
      Russell 1000 Index.


      Average annual total return
      (as of March 31, 1998)
                                      Since
                         1 year        inception*     5 years       10 years
       Class A           +38.87       +23.30%             --%           --%
       Class B           +41.08%          --%         +16.40        +15.34%
       Class Y           +46.34       +24.96%             --%           --%

       *Inception date was March 20, 1995.


      On the graph above you can see how the Fund's total return compared to
      three widely cited performance indexes, the S&P500, the Lipper Small Cap
      Fund Index and the Russell Midcap Growth Index. 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.


      (This annual report is not part of the prospectus.)

<PAGE>

The financial statements contained in Post-Effective Amendment #30 to
Registration Statement No. 2-89288 filed on or about May 28, 1998, are
incorporated herein by reference.

<PAGE>
IDS mutual funds

Global/International funds

Funds in this group seek capital growth and/or income by investing primarily in
foreign securities. Foreign investments may be subject to currency fluctuations
and political and economic risks of the countries in which the investments are
made. They are high risk mutual funds with a potential for high reward.

IDS Emerging Markets Fund

Invests in a Portfolio comprised primarily of stocks of companies in developing
countries throughout the world that are believed to offer growth potential.
Seeks to provide long-term growth of capital.

(icon of) world with countries

IDS Global Growth Fund

Invests in a Portfolio comprised primarily of stocks of companies throughout the
world that are positioned to meet market needs in a changing world economy.
These companies offer above-average potential for long-term growth.

(icon of) world

IDS International Fund

Invests primarily in common stocks of foreign companies that offer potential for
superior growth. The Fund may invest up to 20% of its assets in the U.S. market.

(icon of) three flags

IDS Global Balanced Fund

Invests in stocks and bonds in, for the most part, major markets throughout the
world, including the U.S. Seeks to provide a balance of growth of capital and
current income.

(icon of) scale of globes

IDS Global Bond Fund

Invests in a Portfolio comprised primarily of debt securities of U.S. and
foreign issuers to seek high total return through income and growth of capital.

(icon of) globe

Growth funds

Funds in this group seek capital growth, primarily from common stocks. They are
high risk mutual funds with a potential for high reward.

IDS Precious Metals Fund

Invests primarily in the securities of foreign or domestic companies that
explore for, mine and process or distribute gold and other precious metals. A
highly aggressive and speculative fund that seeks long-term growth of capital.

(icon of) cart of precious gems

IDS Discovery Fund

Invests in small- and medium-size, growth-oriented companies emphasizing
technological innovation and productivity enhancement. Buys and holds larger
growth-oriented stocks.

(icon of) ship

IDS Small Company Index Fund

Invests in all or a representative group of the equity securities comprising the
S&P SmallCap 600 Index, as it strives to provide long-term capital appreciation.

(icon of) building

IDS Strategy Aggressive Fund

Invests primarily in common stocks of companies that are selected for their
potential for above-average growth. Above-average means that their growth
potential is better, in the opinion of the portfolio's investment manager, than
the Standard & Poor's Corporation (S&P) 500 Stock Index.

(icon of) chess piece

IDS Research Opportunities Fund

Invests in a Portfolio comprised primarily of equity securities of companies
included in the S&P 500 Index that are believed to have strong growth potential.
The Portfolio is managed using a research methodology by the Research Department
of AEFC. Goal is long-term appreciation.

(icon of) magnifying glass

IDS Growth Fund

Invests in a Portfolio comprised primarily of companies that have above-average
potential for long-term growth as a result of new management, marketing
opportunities or technological superiority.

(icon of) trees

IDS New Dimensions Fund

Invests in a Portfolio comprised primarily of companies with
significant growth potential due to superiority in
technology, marketing or management. The Fund frequently
changes its industry mix.

(icon of) dimension

IDS Progressive Fund

Invests primarily in undervalued common stocks. The Fund holds stocks for the
long term with the goal of capital growth.

(icon of) shooting star

Growth & income funds

These funds focus on securities of medium to large, well-established companies
that offer long-term growth of capital and reasonable income from dividends and
interest. Foreign investments may be subject to currency fluctuations and
political and economic risks of the countries in which the investments are made.


IDS Equity Select Fund

Invests primarily in a combination of moderate growth stocks, higher-yielding
equities and bonds. Seeks growth of capital and income.

(icon of) three pine trees

IDS Blue Chip Advantage Fund

Invests in selected stocks from a major market index. Securities purchased are
those recommended by our research analysts as the best from each industry
represented on the index. Offers potential for long-term growth as well as
dividend income.

(icon of) ribbon

IDS Managed Allocation Fund

Invests in a Portfolio comprised primarily of U.S. equity securities, U.S. and
foreign debt securities, foreign equity securities and money market instruments.
The Fund provides diversification among these major investment categories and
has a target mix that represents the way the Fund's investments will be
allocated over the long term. Seeks maximum total return.

(icon of) gyroscope

IDS Stock Fund

Invests in a Portfolio comprised primarily of common stock of companies
representing many sectors of the economy. Seeks current income and growth of
capital.

(icon of) building with columns

IDS Equity Value Fund

Invests primarily in undervalued common stocks that offer potential for growth
of capital and income.

(icon of) three growing flowers

IDS Utilities Income Fund

Invests primarily in the stocks of public utility companies to seek high current
income and growth of income and capital with reduced volatility.

(icon of) light bulb

IDS Diversified Equity Income Fund

Invests in a Portfolio comprised primarily in high-yielding common stocks to
seek high current income and, secondarily, to benefit from the growth potential
offered by stock investments.

(icon of) two puzzle pieces

IDS Mutual

Invests in a Portfolio which seeks to balance between common stocks and senior
securities (preferred stocks and bonds). Seeks a balance of growth of capital
and current income.

(icon of) scale of justice

Income funds

The funds in this group invest their assets primarily in corporate bonds or
government securities to seek interest income. Secondary objective is capital
growth. Risk varies by bond quality.

IDS Extra Income Fund

Invests in a Portfolio comprised mainly of long-term, high-yielding corporate
fixed-income securities in the lower rated, higher risk bond categories to seek
high current income. Secondary objective is capital growth.

(icon of) two coins

IDS Bond Fund

Invests mainly in corporate bonds, at least 50% in the higher rated, lower risk
bond categories, or the equivalent, and in government bonds.

(icon of) Greek column

IDS Selective Fund

Invests in a Portfolio comprised primarily of high-quality corporate bonds and
other highly rated debt instruments including government securities and
short-term investments. Seeks current income and preservation of capital.

(icon of) skyline

IDS Federal Income Fund

Invests in a Portfolio comprised primarily of securities issued or guaranteed as
to the timely payment of principal and interest by the U.S. government, its
agencies and instrumentalities. Seeks a high level of current income and safety
of principal consistent with its type of investments.

(icon of) shield with eagle head

Tax-exempt income funds

These funds provide tax-free income by investing in municipal bonds. The income
is generally free from federal income tax, but a portion of the income may be
subject to state and local taxes. Risk varies by bond quality.

IDS Tax-Exempt Bond Fund

Invests mainly in bonds and notes of state or local government units, with at
least 75% in the four highest rated, lowest risk bond categories.

(icon of) shield with Greek column

IDS Insured Tax-Exempt Fund

Invests primarily in municipal securities that are insured as to the timely
payment of principal and interest. The insurance feature minimizes credit risk
of the Fund but does not guarantee the market value of the Fund's shares.

(icon of) shield with star

IDS State Tax-Exempt Funds
(CA, MA, MI, MN, NY, OH)

Invests primarily in high- and medium-grade municipal securities to provide
income to residents of each respective state that is exempt from federal, state
and local income taxes. (New York is the only state that is exempt at the local
level.)

(icon of) shield with U.S. enclosed

IDS High Yield Tax-Exempt Fund

Invests in a Portfolio comprised primarily of medium- and lower-quality
municipal bonds and notes. Lower-quality securities generally involve greater
risk of principal and income.

(icon of) shield with basket of apples enclosed

IDS Intermediate Tax-Exempt Fund

Invests in mainly investment-grade bonds and other debt securities with
intermediate-term maturities issued by state and local government units. Goal is
to seek a high level of current income exempt from federal taxes.

(icon of) shield with tree enclosed



Money market funds

These money market funds have three main goals: conservation of capital,
constant liquidity and the highest possible current income consistent with these
objectives. An investment in these funds is neither insured nor guaranteed by
the U.S. government, and there can be no assurance that these funds will be able
to maintain a stable net asset value of $1.00 per share. Very limited risk.

IDS Cash Management Fund

Invests in such money market securities as high quality commercial paper,
bankers' acceptances, certificates of deposit (CDs) and other bank securities.

(icon of) piggy bank

IDS Tax-Free Money Fund

Invests primarily in short-term bonds and notes issued by state and local
governments to seek high current income exempt from federal income taxes.

(icon of) shield with piggy bank enclosed

For more complete information about any of these funds, including charges and
expenses, you can obtain a prospectus by contacting your financial advisor or
writing to American Express Shareholder Service, P.O. Box 534, Minneapolis, MN
55440-0534. Read it carefully before you invest or send money.

(This annual report is not part of the prospectus.)

<PAGE>

Federal income tax information

IDS Strategy Aggressive fund


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 Strategy Aggressive Fund
Fiscal year ended March 31, 1998

Class A
Capital gain distribution

taxable as long-term capital gain.

payable date             per share

Dec. 29, 1997            $3.94813

The long-term capital gains distribution is divided into two categories:
28%--$1.81535 and 20%--$2.13278.


      (This annual report is not part of the prospectus.)
<PAGE>

Class B
Capital gain distribution

taxable as long-term capital gain.

payable date             per share

Dec. 29, 1997            $3.94813

The long-term capital gains distribution is divided into two categories:
28%--$1.81535 and 20%--$2.13278.

Class Y
Capital gain distribution

taxable as long-term capital gain.

payable date             per share

Dec. 29, 1997            $3.94813

The long-term capital gains distribution is divided into two categories:
28%--$1.81535 and 20%--$2.13278.



(This annual report is not part of the prospectus.)

<PAGE>

Quick telephone reference

American Express            Redemptions and exchanges,       National/Minnesota
Financial Advisors          dividend payments or                   800-437-3133
Telephone Transaction       reinvestments and automatic
Service                     payment arrangements           Mpls./St. Paul area:
                                                                       671-3800



TTY Service                 For the hearing impaired               800-846-4852




American Express            Automated account information          800-862-7919
Financial Advisors          (TouchTone(R) phones only),
Easy Access Line            including current fund prices
                            and performance, account values
                            and recent account transactions



AMERICAN EXPRESS Financial Advisors


IDS Strategy Aggressive Fund
IDS Tower 10
Minneapolis, MN 55440-0010




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