IDS EQUITY SELECT FUND INC
N-30D, 1999-07-22
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                                                                         AXP(SM)
                                                                   Equity Select
                                                                           Fund

                                                          1999 SEMIANNUAL REPORT


(picture of) magnifying glass

The goal of AXP Equity Select Fund is growth of capital.


AMERICAN EXPRESS Financial Advisors

Distributed by American Express Financial Advisors Inc.

<PAGE>

Budding Blue Chips

When most people  think of stocks,  they tend to focus on the  notable  names in
American business -- the blue chips, as they're known. But there's another group
of companies that though smaller and less well-known,  boast impressive business
histories.  These mid-sized  companies,  which we call "budding blue chips," are
the foundation of Equity Select Fund.  Often,  they enjoy a dominant position in
their business. For an investor, this means an opportunity to participate in the
growth  that's  likely for these  companies  and the  potential for rising stock
prices.


CONTENTS
From the Chairman                                        3
From the Portfolio Manager                               4
Fund Facts                                               5
The 10 Largest Holdings                                  6
Financial Statements                                     7
Notes to Financial Statements                           10
Investments in Securities                               18

<PAGE>

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

From the Chairman

American Express(R) Funds held shareholder  meetings in June 1999.  Shareholders
approved all of the proposals advanced by management. Among the proposals were:

o The  election of members to the board of directors  and the  selection of KPMG
  LLP as independent auditor.

o A change in the Fund's name from "IDS" to "AXP."

o A new shareholder service and distribution plan.

o A change in the investment management services agreement.

o Changes with respect to fundamental investment policies.

No other business was presented at the meeting,  which was concluded by a report
to shareholders  from the Investment  Department of American  Express  Financial
Corporation.

Thanks to all of you for your effort in reviewing the proxy  material and voting
your proxies.



Arne H. Carlson
<PAGE>

(picture of) Betty J. Tebault
Betty J. Tebault
Portfolio manager

From the Portfolio Manager

AXP Equity  Select Fund had a productive  first half of its fiscal  year,  as it
took advantage of a rebounding stock market. For the six months -- December 1998
through May 1999 -- the total  return for the Fund's  Class A shares was 15.59%.
(A portion of the return came in the form of a capital  gain,  which was paid to
shareholders in December 1998 and reduced the Fund's net asset value by the same
amount at that time. It did not, however affect the total return.)

The period  could  hardly  have  gotten off to a better  start.  Buoyed by three
reductions in short-term  interest rates by the Federal Reserve during the fall,
as well as ongoing economic strength and continued reports of low inflation, the
stock market responded with a December surge that saw the Fund gain nearly 12%.

The rest of the winter,  however,  was a  different  story,  as stocks  reversed
direction in the face of rising long-term interest rates. But the market and the
Fund got back on track in the spring to finish the period on a positive note.


LARGE-CAPS LEAD
For the most part,  the  market's  gains were once again  driven by a relatively
small number of large-capitalization  growth stocks. While that generally worked
to the  disadvantage  of the Fund,  whose main emphasis is mid-cap  stocks,  the
portfolio did include some large-cap names such as Cisco Systems, America Online
and Safeway that made healthy contributions to performance.

As for changes to the holdings, I did a fair amount of stock-trading in order to
bring the Fund more firmly into the mid-cap category. This re-positioning effort
included the addition of some  biotechnology,  electronics and  Internet-related
stocks, sectors that were previously under-represented in the portfolio. Looking
at sector exposures at period-end, the largest were multi-industry,  health care
and  technology.   But  there  were  several  other  sectors  with   substantial
investments  as well,  including  telecommunications  equipment,  retailing  and
media.  All in  all,  the mix  represented  quite a  well-diversified  group  of
holdings.

In addition to focusing  mainly on mid-cap  issues,  I tried to bring a somewhat
more industrial flavor to the portfolio.  This effort is based on my expectation
that the remarkable  strength of the U.S. economy will continue and that foreign
economies,  particularly  in the  developing  countries,  will begin to recover.
Ultimately,  this should lead to improved business for industrial companies.  At
this writing (mid-June),  the stock market has already begun to acknowledge this
possibility  by broadening  out -- that is, bidding up prices on a wider variety
of stocks beyond the high-flying  large-cap names that have been the darlings of
recent  years.  I think that's a healthy  trend,  and one that could work in the
Fund's favor during the rest of the fiscal year.



Betty J. Tebault
<PAGE>

Fund Facts

Class A -- 6-month performance
(All figures per share)

Net asset value (NAV)
May 31, 1999                                                 $15.18
Nov. 30, 1998                                                $14.59
Increase                                                     $ 0.59

Distributions -- Dec. 1, 1998 - May 31, 1999
From income                                                  $ 0.01
From capital gains                                           $ 1.51
Total distribution                                           $ 1.52
Total return*                                               +15.59%**

Class B -- 6-month performance
(All figures per share)

Net asset value (NAV)
May 31, 1999                                                 $14.84
Nov. 30, 1998                                                $14.34
Increase                                                     $ 0.50

Distributions -- Dec. 1, 1998 - May 31, 1999
From income $  0.00
From capital gains                                           $ 1.51
Total distribution                                           $ 1.51
Total return*                                               +15.15%**

Class Y -- 6-month performance
(All figures per share)

Net asset value (NAV)
May 31, 1999                                                 $15.20
Nov. 30, 1998                                                $14.60
Increase                                                     $ 0.60

Distributions -- Dec. 1, 1998 - May 31, 1999
From income                                                  $ 0.01
From capital gains                                           $ 1.51
Total distribution                                           $ 1.52
Total return*                                               +15.63%**

* 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.

<PAGE>

The 10 Largest Holdings

                                      Percent                  Value
                                 (of net assets)        (as of May 31, 1999)
 Tyco Intl                             6.82%                $87,733,237
 Immunex                               4.44                  57,039,374
 America Online                        3.77                  48,466,249
 Martin Marietta Materials             2.40                  30,912,688
 Comcast Special Cl A                  2.09                  26,949,999
 Estee Lauder Cl A                     2.09                  26,873,125
 Starbucks                             2.04                  26,202,313
 Cisco Systems                         1.99                  25,585,624
 Tower Automotive                      1.97                  25,368,375
 Danaher                               1.94                  24,900,250

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 29.55% of net assets



<PAGE>
<TABLE>
<CAPTION>


Financial Statements

Statement of assets and liabilities
AXP Equity Select Fund, Inc.

May 31, 1999 (Unaudited)

Assets
Investments in securities, at value (Note 1)
<S>                                                                                                     <C>
    (identified cost $933,534,549)                                                                      $1,335,126,192

Cash in bank on demand deposit                                                                                 103,630
Dividends and accrued interest receivable                                                                      310,000
Receivable for investment securities sold                                                                    8,850,069
U.S. government securities held as collateral (Note 4)                                                         933,032
                                                                                                               -------
Total assets                                                                                             1,345,322,923
                                                                                                         -------------

Liabilities
Payable for investment securities purchased                                                                 10,569,878
Payable upon return of securities loaned (Note 4)                                                           48,766,232
Accrued investment management services fee                                                                      17,864
Accrued distribution fee                                                                                         2,201
Accrued service fee                                                                                              6,135
Accrued transfer agency fee                                                                                      3,061
Accrued administrative services fee                                                                              1,258
Other accrued expenses                                                                                          52,355
                                                                                                                ------
Total liabilities                                                                                           59,418,984
                                                                                                            ----------
Net assets applicable to outstanding capital stock                                                      $1,285,903,939
                                                                                                        ==============

Represented by
Capital stock-- $.01 par value (Note 1)                                                                 $      848,802
Additional paid-in capital                                                                                 831,065,244
Investment loss-- net                                                                                       (1,577,409)
Accumulated net realized gain (loss)                                                                        51,327,674
Unrealized appreciation (depreciation) on investments (Note 6)                                             404,239,628
                                                                                                           -----------
Total-- representing net assets applicable to outstanding capital stock                                 $1,285,903,939
                                                                                                        ==============
Net assets applicable to outstanding shares:                      Class A                               $1,175,836,805
                                                                  Class B                               $  108,641,063
                                                                  Class Y                               $    1,426,071
Net asset value per share of outstanding capital stock:           Class A shares        77,467,124      $        15.18
                                                                  Class B shares         7,319,201      $        14.84
                                                                  Class Y shares            93,843      $        15.20


See accompanying notes to financial statements.
</TABLE>

<PAGE>
<TABLE>
<CAPTION>

Statement of operations
AXP Equity Select Fund, Inc.

Six months ended May 31, 1999 (Unaudited)

Investment income
Income:
<S>                                                                                                       <C>
Dividends                                                                                                 $  1,847,661
Interest                                                                                                     2,396,863
                                                                                                             ---------
Total income                                                                                                 4,244,524
                                                                                                             ---------
Expenses (Note 2):
Investment management services fee                                                                        $  3,210,149
Distribution fee-- Class B                                                                                     345,893
Transfer agency fee                                                                                            431,080
Incremental transfer agency fee
    Class A                                                                                                     44,610
    Class B                                                                                                     13,680
Service fee
    Class A                                                                                                    962,398
    Class B                                                                                                     80,417
    Class Y                                                                                                        312
Administrative services fees and expenses                                                                      227,902
Compensation of board members                                                                                    5,793
Custodian fees                                                                                                  59,152
Printing and postage                                                                                           106,321
Registration fees                                                                                               65,414
Audit fees                                                                                                      13,125
Other                                                                                                           10,954
                                                                                                                ------
Total expenses                                                                                               5,577,200
    Earnings credits on cash balances (Note 2)                                                                 (19,705)
                                                                                                               -------
Total net expenses                                                                                           5,557,495
                                                                                                             ---------
Investment income (loss) -- net                                                                             (1,312,971)
                                                                                                            ----------

Realized and unrealized gain (loss) -- net
Net realized gain (loss): on security transactions (Note 3)
    Security transaction (Note 3)                                                                           48,673,310
    Financial futures contracts                                                                              7,690,932
                                                                                                             ---------
Net realized gain (loss) on investments                                                                     56,364,242
Net change in unrealized appreciation (depreciation) on investments                                        119,195,415
                                                                                                           -----------
Net gain (loss) on investments                                                                             175,559,657
                                                                                                           -----------
Net increase (decrease) in net assets resulting from operations                                           $174,246,686
                                                                                                          ============

See accompanying notes to financial statements.

</TABLE>

<PAGE>
<TABLE>
<CAPTION>

Statements of changes in net assets
AXP Equity Select Fund, Inc.
                                                                                       May 31, 1999       Nov. 30, 1998
                                                                                     Six months ended       Year ended
                                                                                       (Unaudited)

Operations and distributions
<S>                                                                               <C>                 <C>
Investment income (loss)-- net                                                    $     (1,312,971)   $      2,203,311
Net realized gain (loss) on security transactions                                       56,364,242         111,333,675
Net change in unrealized appreciation (depreciation) on investments                    119,195,415         (12,065,803)
                                                                                       -----------         -----------
Net increase (decrease) in net assets resulting from operations                        174,246,686         101,471,183
                                                                                       -----------         -----------
Distributions to shareholders from:
Net investment income
        Class A                                                                           (818,451)         (2,213,891)
        Class B                                                                             (2,958)                 --
        Class Y                                                                               (222)             (1,333)
Net realized gain
        Class A                                                                       (107,848,773)       (151,902,168)
        Class B                                                                         (8,474,927)         (6,721,184)
        Class Y                                                                            (28,019)            (59,447)
                                                                                           -------             -------
Total distributions                                                                   (117,173,350)       (160,898,023)
                                                                                      ------------        ------------

Capital share transactions (Note 5)
Proceeds from sales
    Class A shares (Note 2)                                                            359,791,438         446,090,799
    Class B shares                                                                      25,382,266          42,854,833
    Class Y shares                                                                       1,179,953             221,131
Reinvestment of distributions at net asset value
    Class A shares                                                                     100,503,589         144,067,046
    Class B shares                                                                       8,388,600           6,675,867
    Class Y shares                                                                          28,241              60,781
Payments for redemptions
    Class A shares                                                                    (380,930,448)       (465,714,055)
    Class B shares (Note 2)                                                             (8,905,784)         (8,948,681)
    Class Y shares                                                                        (222,136)           (250,873)
                                                                                          --------            --------
Increase (decrease) in net assets from capital share transactions                      105,215,719         165,056,848
                                                                                       -----------         -----------
Total increase (decrease) in net assets                                                162,289,055         105,630,008
Net assets at beginning of period                                                    1,123,614,884       1,017,984,876
                                                                                     -------------       -------------
Net assets at end of period                                                         $1,285,903,939      $1,123,614,884
                                                                                    ==============      ==============
Undistributed (excess of distributions over) net investment income                  $   (1,577,409)     $      557,193
                                                                                    --------------      --------------

See accompanying notes to financial  statements.
</TABLE>

<PAGE>

Notes to Financial Statements

AXP Equity Select Fund, Inc.
(Unaudited as to May 31, 1999)


1. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
The Fund is registered under the Investment  Company Act of 1940 (as amended) as
a diversified,  open-end management  investment company. The Fund has 10 billion
authorized  shares of capital  stock.  The Fund  invests  primarily  in moderate
growth stocks.

The Fund offers Class A, Class B and Class Y shares.

o Class A shares are sold with a front-end sales charge.
o Class B shares  may be  subject  to a  contingent  deferred  sales  charge and
  automatically  convert  to Class A shares  during  the  ninth  calendar  year
  of ownership.
o Class Y  shares  have no  sales  charge  and are  offered  only to qualifying
  institutional investors. All classes of shares have identical voting,
  dividend and liquidation  rights.  The distribution fee, transfer agency fee
  and service fee (class specific  expenses) differs among classes.  Income,
  expenses (other than class specific expenses) and realized and unrealized
  gains or losses on investments are allocated to each class of shares based
  upon its relative net assets.

The Fund's significant accounting policies are summarized below:

Use of estimates
Preparing  financial  statements that conform to generally  accepted  accounting
principles   requires   management  to  make  estimates  (e.g.,  on  assets  and
liabilities) that could differ from actual results.

Valuation of securities
All securities are valued at the close of each business day.  Securities  traded
on national  securities  exchanges  or included in national  market  systems are
valued at the last quoted sales price.  Debt securities are generally  traded in
the  over-the-counter  market and are valued at a price that reflects fair value
as quoted by dealers in these  securities or by an independent  pricing service.
Securities for which market  quotations are not readily  available are valued at
fair value according to methods selected in good faith by the board.  Short-term
securities  maturing in more than 60 days from the valuation  date are valued at
the market price or approximate  market value based on current  interest  rates;
those maturing in 60 days or less are valued at amortized cost.

Option transactions
To produce  incremental  earnings,  protect  gains,  and  facilitate  buying and
selling of securities for investments, the Fund may buy and write options traded
on any  U.S.  or  foreign  exchange  or in  the  over-the-counter  market  where
completing the obligation  depends upon the credit  standing of the other party.
The Fund  also may buy and sell put and call  options  and  write  covered  call
options on portfolio  securities as well as write cash-secured put options.  The
risk in  writing a call  option is that the Fund  gives up the  opportunity  for
profit if the market price of the security increases.  The risk in writing a put
option is that the Fund may  incur a loss if the  market  price of the  security
decreases and the option is exercised.  The risk in buying an option is that the
Fund pays a premium  whether or not the option is  exercised.  The Fund also has
the  additional  risk of being unable to enter into a closing  transaction  if a
liquid secondary market does not exist.

Option  contracts  are  valued  daily at the  closing  prices  on their  primary
exchanges and unrealized appreciation or depreciation is recorded. The Fund will
realize a gain or loss when the option  transaction  expires or closes.  When an
option is  exercised,  the  proceeds  on sales for a written  call  option,  the
purchase cost for a written put option or the cost of a security for a purchased
put or call option is adjusted by the amount of premium received or paid.

Futures transactions
To gain exposure to or protect  itself from market  changes the Fund may buy and
sell financial  futures  contracts traded on any U.S. or foreign  exchange.  The
Fund also may buy and write put and call  options  on these  futures  contracts.
Risks of  entering  into  futures  contracts  and  related  options  include the
possibility of an illiquid market and that a change in the value of the contract
or  option  may not  correlate  with  changes  in the  value  of the  underlying
securities.

Upon entering into a futures  contract,  the Fund is required to deposit  either
cash or securities in an amount (initial  margin) equal to a certain  percentage
of the  contract  value.  Subsequent  payments  (variation  margin)  are made or
received by the Fund each day. The  variation  margin  payments are equal to the
daily  changes in the contract  value and are recorded as  unrealized  gains and
losses.  The Fund recognizes a realized gain or loss when the contract is closed
or expires.

Foreign currency translations and foreign currency contracts
Securities and other assets and  liabilities  denominated in foreign  currencies
are translated daily into U.S. dollars at the closing rate of exchange.  Foreign
currency  amounts  related to the purchase or sale of securities  and income and
expenses are translated at the exchange rate on the transaction date. The effect
of changes in foreign  exchange rates on realized and unrealized  security gains
or losses is reflected as a component of such gains or losses.  In the statement
of operations,  net realized gains or losses from foreign currency transactions,
if any,  may arise from sales of foreign  currency,  closed  forward  contracts,
exchange gains or losses realized  between the trade date and settlement date on
securities  transactions,  and other  translation  gains or losses on dividends,
interest income and foreign withholding taxes.

The  Fund may  enter  into  forward  foreign  currency  exchange  contracts  for
operational  purposes and to protect against adverse exchange rate  fluctuation.
The net U.S.  dollar  value  of  foreign  currency  underlying  all  contractual
commitments  held by the  Fund  and the  resulting  unrealized  appreciation  or
depreciation  are  determined  using  foreign  currency  exchange  rates from an
independent  pricing  service.  The Fund is subject to the credit  risk that the
other party will not complete its contract obligations.

Federal taxes
The Fund's  policy is to comply with all sections of the  Internal  Revenue Code
that  apply to  regulated  investment  companies  and to  distribute  all of its
taxable income to shareholders.  No provision for income or excise taxes is thus
required.

Net  investment  income  (loss) and net realized  gains  (losses) may differ for
financial  statement and tax purposes  primarily  because of deferred  losses on
certain futures  contracts,  the  recognition of certain foreign  currency gains
(losses) as ordinary income (loss) for tax purposes,  and losses deferred due to
"wash sale"  transactions.  The character of distributions  made during the year
from net investment  income or net realized gains may differ from their ultimate
characterization  for federal  income tax purposes.  Also,  due to the timing of
dividend  distributions,  the fiscal year in which amounts are  distributed  may
differ from the year that the income or realized gains (losses) were recorded by
the Fund.

Dividends to shareholders
Dividends from net investment  income,  declared and paid each calendar quarter,
are reinvested in additional shares of the Fund at net asset value or payable in
cash. Capital gains, when available,  are distributed along with the last income
dividend of the calendar year.

Other
Security  transactions are accounted for on the date securities are purchased or
sold. Dividend income is recognized on the ex-dividend date and interest income,
including level-yield amortization of premium and discount, is accrued daily.

2. EXPENSES AND SALES CHARGES
The Fund has agreements with American Express  Financial  Corporation  (AEFC) to
manage its portfolio and provide  administrative  services.  Under an Investment
Management  Services  Agreement,   AEFC  determines  which  securities  will  be
purchased,  held or sold.  The  management  fee is a  percentage  of the  Fund's
average daily net assets in reducing  percentages  from 0.53% to 0.40% annually.
Effective  July 1, 1999,  the  management  fee will  increase  to 0.60% to 0.48%
annually.  The fee is adjusted  upward or downward  by a  performance  incentive
adjustment  based  on the  Fund's  average  daily  net  assets  over  a  rolling
twelve-month  period measured against the change in the Lipper Growth and Income
Fund Index.  The maximum  adjustment  is 0.08% of the Fund's  average  daily net
assets after  deducting 1% from the performance  difference.  If the performance
difference  is less  than  1%,  the  adjustment  will be  zero.  The  adjustment
increased the fee by $125,347 for the six months ended May 31, 1999.

Under  an  Administrative  Services  Agreement,  the  Fund  pays  AEFC a fee for
administration  and  accounting  services at a percentage of the Fund's  average
daily  net  assets  in  reducing  percentages  from  0.04%  to  0.02%  annually.
Additional administrative service expenses paid by the Fund are office expenses,
consultants'  fees and  compensation  of  officers  and  employees.  Under  this
agreement,  the Fund also pays taxes, audit and certain legal fees, registration
fees for shares,  compensation of board members,  corporate  filing fees and any
other expenses properly payable by the Fund and approved by the board.

Under a separate  Transfer  Agency  Agreement,  American  Express Client Service
Corporation (AECSC) maintains  shareholder  accounts and records.  The Fund pays
AECSC an annual fee per shareholder account for this service as follows:

o  Class A $19
o  Class B $20
o  Class Y $17

Under  terms of a prior  agreement  that ended Jan.  31,  1999,  the Fund paid a
transfer agency fee at an annual rate per shareholder account of $15 for Class A
and $16 for Class B. Under terms of a prior agreement that ended March 31, 1999,
the Fund paid a transfer agency fee at an annual rate per shareholder account of
$15 For Class Y.

The Fund has  agreements  with  American  Express  Financial  Advisors  Inc. for
distribution   and  shareholder   services.   Under  a  Plan  and  Agreement  of
Distribution, the Fund pays a distribution fee at an annual rate of 0.75% of the
Fund's average daily net assets  attributable to Class B shares.  Effective July
1, 1999, the Fund will pay a  distribution  fee at an annual rate up to 0.25% of
the Fund's  average  daily net assets  attributable  to Class A shares and up to
1.00% of the Fund's average daily net assets attributable to Class B shares.

Under a Shareholder Service Agreement,  the Fund pays a fee for service provided
to shareholders by financial  advisors and other  servicing  agents.  The fee is
calculated  at a  rate  of  0.175%  of  the  Fund's  average  daily  net  assets
attributable to Class A and Class B shares and 0.10% of the Fund's average daily
net assets attributable to Class Y shares. Effective July 1, 1999, the Fund will
convert the  Shareholder  Service  Agreement with respect to Class A and Class B
shares into the Plan and Agreement of Distribution discussed above.

Sales  charges  received  by  American  Express  Financial   Advisors  Inc.  for
distributing  Fund shares were  $784,676 for Class A and $44,187 for Class B for
the six months ended May 31, 1999. The Fund also pays custodian fees to American
Express Trust Company, an affiliate of AEFC.

During the six months  ended May 31,  1999,  the Fund's  custodian  and transfer
agency  fees were  reduced  by  $19,705  as a result of  earnings  credits  from
overnight cash balances.


3. SECURITIES TRANSACTIONS
Cost of purchases and proceeds from sales of securities  (other than  short-term
obligations) aggregated $594,697,596 and $545,577,600, respectively, for the six
months  ended May 31,  1999.  Realized  gains and  losses are  determined  on an
identified cost basis.

Brokerage commissions paid to brokers affiliated with AEFC were $121,560 for the
six months ended May 31, 1999.


4. LENDING OF PORTFOLIO SECURITIES
As of May 31, 1999,  securities  valued at $47,100,816  were on loan to brokers.
For  collateral,  the Fund  received  $47,833,200  in cash  and U.S.  government
securities  valued at  $933,032.  Income  from  securities  lending  amounted to
$102,406  for the six  months  ended  May 31,  1999.  The  risks  to the Fund of
securities lending are that the borrower may not provide  additional  collateral
when required or return the securities when due.
<PAGE>
<TABLE>
<CAPTION>


5. CAPITAL SHARE TRANSACTIONS
Transactions  in  shares  of  capital  stock for the  periods  indicated  are as
follows:

                                                                        Six months ended May 31, 1999
                                                          Class A                    Class B                  Class Y
<S>                                                     <C>                        <C>                        <C>
Sold                                                    24,490,599                 1,755,543                  80,740
Issued for reinvested distributions                      7,325,335                   623,180                   2,057
Redeemed                                               (25,876,440)                 (618,564)                (14,945)
                                                       -----------                  --------                 -------
Net increase (decrease)                                  5,939,494                 1,760,159                  67,852
                                                         ---------                 ---------                  ------

                                                                          Year ended Nov. 30, 1998
                                                          Class A                    Class B                  Class Y
Sold                                                    31,574,234                 3,044,961                  14,841
Issued for reinvested distributions                     10,847,994                   509,025                   4,572
Redeemed                                               (32,844,306)                 (645,024)                (17,837)
                                                       -----------                  --------                 -------
Net increase (decrease)                                  9,577,922                 2,908,962                   1,576
                                                         ---------                 ---------                   -----

</TABLE>
<PAGE>

6. STOCK INDEX FUTURES CONTRACTS
As of May 31, 1999,  investments  in securities  included  securities  valued at
$17,738,563  that were pledged as collateral to cover initial margin deposits on
194 open purchase contracts.  The market value of the open purchase contracts as
of May 31, 1999 was $38,460,500  with a net unrealized  gain of $2,647,986.  See
"Summary of significant accounting policies."


7. BANK BORROWINGS
The Fund has a revolving credit agreement with U.S. Bank, N.A., whereby the Fund
is permitted to have bank borrowings for temporary or emergency purposes to fund
shareholder redemptions. The Fund must have asset coverage for borrowings not to
exceed the  aggregate  of 333% of advances  equal to or less than five  business
days plus 367% of advances over five business days. The agreement, which enables
the Fund to participate with other American Express funds, permits borrowings up
to $200  million,  collectively.  Interest  is charged to each Fund based on its
borrowings  at a  rate  equal  to the  Federal  Funds  Rate  plus  0.30%  or the
Eurodollar Rate (Reserve  Adjusted) plus 0.20%.  Borrowings are payable up to 90
days after such loan is executed.  The Fund also pays a commitment  fee equal to
its pro rata share of the amount of the credit  facility  at a rate of 0.05% per
annum.  The Fund had no borrowings  outstanding  during the six months ended May
31, 1999.
<PAGE>
<TABLE>
<CAPTION>

8. FINANCIAL HIGHLIGHTS

The tables below show certain  important  financial  information  for evaluating
the Fund's results.


Fiscal period ended Nov. 30,

Per share income and capital changesa

                                                                                Class A
                                                       1999d        1998          1997            1996          1995

<S>                                                  <C>          <C>           <C>             <C>           <C>
Net asset value, beginning of period                 $14.59       $15.76        $14.71          $12.35        $10.31

Income from investment operations:

Net investment income (loss)                           (.01)         .03           .05             .07           .10

Net gains (losses) (both realized and unrealized)      2.12         1.29          2.93            3.30          2.55

Total from investment operations                       2.11         1.32          2.98            3.37          2.65

Less distributions:

Dividends from net investment income                   (.01)        (.03)         (.06)           (.06)         (.12)

Distributions from realized gains                     (1.51)       (2.46)        (1.87)           (.95)         (.49)

Total distributions                                   (1.52)       (2.49)        (1.93)          (1.01)         (.61)

Net asset value, end of period                       $15.18       $14.59        $15.76          $14.71        $12.35

Ratios/supplemental data

Net assets, end of period (in millions)              $1,176       $1,044          $976            $832          $674

Ratio of expenses to average daily net assetsb         .86%e        .82%          .83%            .87%          .84%

Ratio of net investment income (loss)
to average daily net assets                           (.16%)e       .24%          .39%            .53%          .94%

Portfolio turnover rate
(excluding short-term securities)                       48%          80%           63%             64%           62%

Total returnc                                        15.59%        9.96%        23.56%          29.62%        27.12%

a For a share outstanding throughout the period. Rounded to the nearest cent.
b Effective  fiscal year 1996,  expense ratio is based on total  expenses of the
Fund before reduction of earnings credits on cash balances.
c Total return does not reflect payment of a sales charge.
d Six months ended May 31, 1999 (Unaudited).
e Adjusted to an annual basis.
</TABLE>

<PAGE>
<TABLE>
<CAPTION>

Fiscal period ended Nov. 30,
Per share income and capital changesa

                                                  Class B                                        Class Y

                                   1999d   1998    1997    1996    1995b           1999d   1998    1997    1996    1995b

Net asset value,
<S>                              <C>     <C>     <C>     <C>     <C>             <C>     <C>     <C>     <C>     <C>
beginning of period              $14.34  $15.60  $14.63  $12.31  $10.37          $14.60  $15.77  $14.72  $12.35  $10.37

Income from investment operations:
Net investment income (loss)       (.06)   (.01)   (.01)   (.03)    .05              --     .04     .06     .10     .08

Net gains (losses) (both
realized and unrealized)           2.07    1.21    2.85    3.30    1.95            2.12    1.29    2.93    3.30    2.00

Total from investment
operations                         2.01    1.20    2.84    3.27    2.00            2.12    1.33    2.99    3.40    2.08

Less distributions:

Dividends from net
investment income                    --      --      --      --    (.06)           (.01)   (.04)   (.07)   (.08)   (.10)

Distributions from
realized gains                    (1.51)  (2.46)  (1.87)   (.95)     --           (1.51)  (2.46)  (1.87)   (.95)     --

Total distributions               (1.51)  (2.46)  (1.87)   (.95)   (.06)          (1.52)  (2.50)  (1.94)  (1.03)   (.10)

Net asset value,
end of period                    $14.84  $14.34  $15.60  $14.63  $12.31          $15.20  $14.60  $15.77  $14.72  $12.35

Ratios/supplemental data
Net assets, end of
period (in millions)               $109     $80     $41     $18      $3              $1     $--     $--      $3      $3

Ratio of expenses to
average daily net assetsc         1.64%f  1.58%   1.59%   1.63%   1.68%f           .82%f   .75%    .70%    .70%    .70%f

Ratio of net investment
income (loss) to average
daily net assets                  (.94%)f (.52%)  (.35%)  (.21%)   .08%f          (.18%)f  .31%    .54%    .69%   1.08%f

Portfolio turnover
rate (excluding
short-term securities)              48%     80%     63%     64%     62%             48%     80%     63%     64%     62%

Total returne                    15.15%   9.12%  22.62%  28.64%  19.36%          15.63%  10.03%  23.68%  29.84%  20.13%


a For a share outstanding  throughout the period. Rounded to the nearest cent.
b Inception date was March 20, 1995.
c Effective  fiscal year 1996,  expense ratio is based on total  expenses of the
Fund before reduction of earnings credits on cash balances.
d Six months  ended May 31, 1999  (Unaudited).
e Total  return does not reflect payment of a sales charge.
f Adjusted to an annual basis.
</TABLE>

<PAGE>
<TABLE>
<CAPTION>

Investments in Securities

AXP Equity Select Fund, Inc.
May 31, 1999 (Unaudited)

(Percentages represent value of investments compared to net assets)

Common stocks (95.0%)
Issuer                                                                              Shares                    Value(a)

Automotive & related (2.5%)
<S>                                                                                <C>                       <C>
American Axle & Mfg Holdings                                                       427,700(b)                $6,495,694
Tower Automotive                                                                 1,109,000(b)                25,368,375
Total                                                                                                        31,864,069

Banks and savings & loans (3.7%)
First Tennessee Natl                                                               170,000                    7,001,875
Mercantile Bancorp                                                                 190,000(f)                11,103,125
Washington Mutual                                                                  412,500                   15,752,344
Zions Bancorp                                                                      208,000                   13,260,000
Total                                                                                                        47,117,344

Building materials & construction (2.6%)
Louisiana-Pacific                                                                  150,000                    3,037,500
Martin Marietta Materials                                                          509,900                   30,912,688
Total                                                                                                        33,950,188

Chemicals (1.6%)
Waste Management                                                                   385,000(b)                20,356,875

Commercial finance (1.2%)
Finova Group                                                                       328,305                   15,697,083

Communications equipment & services (--%)
Time Warner Telecom Cl A                                                            21,900(b)                   561,188

Computers & office equipment (13.9%)
Adaptec                                                                            310,000(b)                 9,571,250
America Online                                                                     406,000                   48,466,249
Brocade Communications Systems                                                       4,900(b)                   316,050
Cisco Systems                                                                      235,000(b)                25,585,624
Extreme Networks                                                                    15,500(b)                   660,688
Fiserv                                                                             410,550(b)                15,395,625
iVillage                                                                            10,100(b)                   483,538
Lexmark Intl Group Cl A                                                            105,000(b)                14,293,125
Microsoft                                                                          162,600(b)                13,119,788
Solectron                                                                          433,000(b)                23,706,750
SunGard Data Systems                                                               484,800(b)                16,968,000
TheStreet.com                                                                       24,600(b,d)                 879,450
Yahoo!                                                                              62,000(b)                 9,176,000
Total                                                                                                       178,622,137

Electronics (5.0%)
Intel                                                                              220,000                   11,893,750
LSI Logic                                                                          540,000(b)                20,013,750
Maxim Integrated Products                                                          340,000(b)                18,168,750
Molex                                                                              240,000                    7,350,000
Uniphase                                                                            50,000(b)                 6,700,000
Total                                                                                                        64,126,250

Financial services (3.4%)
Associates First Capital Cl A                                                      415,000                   17,014,999
Goldman Sachs Group                                                                 21,400(b)                 1,453,863
MarketWatch.com                                                                      5,100(b)                   264,563
MBNA                                                                               520,000                   14,365,000
Morgan Stanley, Dean Witter, Discover & Co                                         107,000(f)                10,325,500
Total                                                                                                        43,423,925

Food (2.0%)
Flowers Inds                                                                       700,000                   15,575,000
U.S. Foodservice                                                                   242,100(b)                10,773,450
Total                                                                                                        26,348,450

Furniture & appliances (1.5%)
Ethan Allen Interiors                                                              622,500                   19,842,188

Health care (11.3%)
Bausch & Lomb                                                                      150,000                   11,456,250
Biomet                                                                             400,000                   15,975,000
Boston Scientific                                                                  270,000(b)                10,243,125
Guidant                                                                            125,000                    6,250,000
Immunex                                                                            435,000(b)                57,039,374
MedImmune                                                                          210,000(b)                13,361,250
Medtronic                                                                          241,686                   17,159,706
Sybron Intl                                                                        536,400(b)                13,477,050
Total                                                                                                       144,961,755

Health care services (1.8%)
Sunrise Assisted Living                                                            623,000(b,d)              23,051,000

Household products (2.6%)
Estee Lauder Cl A                                                                  294,500                   26,873,125
Newell Rubbermaid                                                                  170,000                    6,885,000
Total                                                                                                        33,758,125

Industrial equipment & services (2.2%)
Illinois Tool Works                                                                290,000                   22,257,500
Parker-Hannifin                                                                    135,000                    5,897,813
Total                                                                                                        28,155,313

Insurance (0.7%)
AFLAC                                                                              183,000                    9,333,000

Media (11.0%)
Adelphia Communications Cl A                                                       160,000(b,d)              12,080,000
Chancellor Media                                                                   145,000(b)                 7,367,813
Comcast Cl A                                                                        60,000                    2,163,750
Comcast Special Cl A                                                               700,000                   26,949,999
Infinity Broadcasting Cl A                                                         790,630(b,d)              20,210,479
Lamar Advertising                                                                  650,000(b)                22,181,249
MediaOne Group                                                                     170,600(b)                12,603,075
Univision Communications Cl A                                                      349,100(b)                20,705,994
Value America                                                                       87,600(b)                 1,631,550
Young & Rubicam                                                                    389,200                   14,886,900
Ziff-Davis - ZDNet                                                                  25,700(b)                   536,488
Total                                                                                                       141,317,297

Miscellaneous (--%)
Inet Technologies                                                                    1,600(b)                   $27,300

Multi-industry conglomerates (11.0%)
Danaher                                                                            412,000                   24,900,250
Mettler-Toledo Intl                                                                962,000(b)                23,809,500
Provant                                                                            290,000(b)                 4,531,250
Tyco Intl                                                                        1,004,100(c)                87,733,237
Total                                                                                                       140,974,237

Restaurants & lodging (3.1%)
Starbucks                                                                          704,600(b)                26,202,313
Wendy's Intl                                                                       505,000                   13,761,250
Total                                                                                                        39,963,563

Retail (10.9%)
Bed Bath & Beyond                                                                  400,000(b)                13,675,000
Costco Companies                                                                   295,000(b)                21,387,499
CVS                                                                                187,600                    8,629,600
eToys                                                                               19,000(b,d)               1,153,063
Family Dollar Stores                                                               850,000                   18,965,625
Hollywood Entertainment                                                            370,000(b)                 9,527,500
Kohl's                                                                             240,000(b)                16,365,000
Linens 'N Things                                                                   265,000(b)                10,566,875
Safeway                                                                            310,000(b)                14,415,000
Tiffany & Co                                                                       188,400                   15,613,650
Whole Foods Market                                                                 230,000(b)                 9,545,000
Total                                                                                                       139,843,812

Transportation (0.9%)
Werner Enterprises                                                                 605,000                   11,684,063

Utilities -- telephone (2.1%)
Allegiance Telecom                                                                 211,900(b)                 7,840,300
MCI WorldCom                                                                       220,000(b)                19,002,500
Total                                                                                                        26,842,800

Total common stocks
(Cost: $820,211,800)                                                                                     $1,221,821,962

</TABLE>

<PAGE>
<TABLE>
<CAPTION>

Short-term securities (8.8%)
Issuer                                                     Annualized               Amount                    Value(a)
                                                          yield on date           payable at
                                                           of purchase             maturity

U.S. government agencies (7.0%)
Federal Home Loan Bank Disc Nts
<S>                                                              <C>             <C>                        <C>
    06-30-99                                                     4.72%           $18,600,000                $18,516,454
    07-02-99                                                     4.74              6,800,000                  6,768,795
    07-16-99                                                     4.79             14,300,000                 14,207,352
Federal Home Loan Mtge Corp Disc Nts
    06-15-99                                                     4.72             15,700,000                 15,663,026
    06-16-99                                                     4.73                900,000                    897,677
    07-12-99                                                     4.75             13,500,000                 13,420,315
    07-22-99                                                     4.84             12,200,000                 12,110,533
Federal Natl Mtge Assn Disc Nts
    06-03-99                                                     4.75              8,500,000                  8,493,270
Total                                                                                                        90,077,422

Commercial paper (1.3%)
Ciesco LP
    07-07-99                                                     4.87              1,300,000                  1,293,009
Delaware Funding
    07-07-99                                                     4.84              5,900,000(e)               5,868,468
Fleet Funding
    06-03-99                                                     4.80              4,200,000(e)               4,196,640
General Electric Capital
    06-01-99                                                     4.93              3,000,000                  2,998,357
Sheffield Receivables
    06-14-99                                                     4.84              1,800,000(e)               1,795,894
Total                                                                                                        16,152,368

Letter of credit (0.5%)
Bank of America-
AES Hawaii
    06-24-99                                                     4.82              7,100,000                  7,074,440

Total short-term securities
(Cost: $113,322,749)                                                                                       $113,304,230

Total investments in securities
(Cost: $933,534,549)(g)                                                                                  $1,335,126,192
                                                                                                         ==============


</TABLE>

<PAGE>

Notes to investments in securities

(a)  Securities  are valued by  procedures  described in Note 1 to the financial
statements.

(b) Non-income producing.

(c) Foreign security values are stated in U.S. dollars.  As of May 31, 1999, the
value of foreign securities represented 6.82% of net assets.

(d)  Security  is  partially  or  fully on  loan.  See  Note 4 to the  financial
statements.

(e) Commercial paper sold within terms of a private placement memorandum, exempt
from registration  under Section 4(2) of the Securities Act of 1933, as amended,
and may be sold only to dealers in that program or other "accredited investors."
This security has been determined to be liquid under  guidelines  established by
the board.

(f) Partially  pledged as initial  margin  deposit on the  following  open stock
index futures purchase contracts (see Note 6 to the financial statements):

Type of security                                                      Contracts
S&P Midcap 400 Index, June 1999                                            194

(g) At May 31, 1999,  the cost of securities for federal income tax purposes was
approximately  $933,535,000  and  the  approximate  aggregate  gross  unrealized
appreciation and depreciation based on that cost was:

Unrealized appreciation                                          $415,491,000
Unrealized depreciation                                           (13,900,000)
                                                                  -----------
Net unrealized appreciation                                      $401,591,000

Quick telephone  reference

AMERICAN EXPRESS FINANCIAL ADVISORS TELEPHONE TRANSACTION SERVICE
Sales  and  exchanges,   dividend  payments  or reinvestments and automatic
payment arrangements:       800-437-3133

AMERICAN EXPRESS CLIENT SERVICE CORPORATION
Fund performance, fund prices, account values, recent account transactions
and account inquiries:      800-862-7919

TTY SERVICE
For the hearing impaired:   800-846-4852

TICKER SYMBOL
Class A: INVPX          Class B: IDQBX          Class Y: IESYX



S-6435 N (7/99)
                                   BULK RATE
                                  U.S. POSTAGE
                                     PAID
                                  PERMIT NO. 85
                                   SPENCER, IA

AXP Equity Select Fund
IDS Tower 10
Minneapolis, MN 55440-0010


AMERICAN EXPRESS Financial Advisors



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