INTERNATIONAL BUSINESS MACHINES CORP
10-Q, 1998-08-13
COMPUTER & OFFICE EQUIPMENT
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                 F O R M 1 0 - Q

                QUARTERLY REPORT PURSUANT TO SECTION 13 or 15(d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                       FOR THE QUARTER ENDED JUNE 30, 1998

                                     1-2360
                             ----------------------
                            (Commission file number)

                   INTERNATIONAL BUSINESS MACHINES CORPORATION
              ----------------------------------------------------
             (Exact name of registrant as specified in its charter)

          New York                         13-0871985
    ----------------------      ----------------------------------
   (State of incorporation)    (IRS employer identification number)

            Armonk, New York                          10504
  --------------------------------------             --------
 (Address of principal executive offices)           (Zip Code)

                                  914-499-1900
                          -----------------------------
                         (Registrant's telephone number)

      Indicate by check mark whether the registrant (1) has filed all reports
required to be filed by Section l3 or l5(d) of the Securities Exchange Act of
1934 during the preceding l2 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject to such
filing requirements for the past 90 days.

YES   |X|      NO  |_|

      The registrant has 933,062,970 shares of common stock outstanding at June
30, 1998.
<PAGE>

                                      INDEX

                                                                     Page
                                                                     ----

Part I - Financial Information:

   Item 1. Consolidated Financial Statements

      Consolidated Statement of Earnings for the three and six
        months ended June 30, 1998 and 1997  . . . . . . . . . .       1

      Consolidated Statement of Financial Position at
        June 30, 1998 and December 31, 1997  . . . . . . . . . .       3

      Consolidated Statement of Cash Flows for the six months
        ended June 30, 1998 and 1997 . . . . . . . . . . . . . .       5

      Notes to Consolidated Financial Statements . . . . . . . .       6

   Item 2.  Management's Discussion and Analysis of
              Results of Operations and Financial Condition  . .       6

Part II - Other Information  . . . . . . . . . . . . . . . . . .      16
<PAGE>

ITEM 1.             INTERNATIONAL BUSINESS MACHINES CORPORATION
                            AND SUBSIDIARY COMPANIES
                        CONSOLIDATED STATEMENT OF EARNINGS
                                  (UNAUDITED)

(Dollars in millions except          Three Months Ended       Six Months Ended
 per share amounts)                       June 30                 June 30
                                    -------------------     --------------------
                                       1998      1997          1998        1997
                                    --------   --------     --------    --------
Revenue:                                                                      
  Hardware sales                    $  7,523   $  8,616     $ 14,643    $ 16,377
  Services                             5,603      4,612       10,611       8,707
  Software                             3,228      3,084        6,246       6,034
  Maintenance                          1,480      1,632        2,956       3,235
  Rentals and financing                  989        928        1,985       1,827
                                    --------   --------     --------    --------
Total revenue                         18,823     18,872       36,441      36,180

Cost:
  Hardware sales                       5,241      5,559       10,343      10,803
  Services                             4,378      3,664        8,330       6,961
  Software                               755        907        1,525       1,819
  Maintenance                            741        873        1,523       1,726
  Rentals and financing                  562        468        1,124         878
                                    --------   --------     --------    --------
Total cost                            11,677     11,471       22,845      22,187
                                    --------   --------     --------    --------
Gross profit                           7,146      7,401       13,596      13,993
Operating expenses:
  Selling, general and                 3,812      3,958        7,531       7,642
    administrative
  Research, development and
    engineering                        1,220      1,221        2,399       2,290
                                    --------   --------     --------    --------
Total operating expenses               5,032      5,179        9,930       9,932

Operating income                       2,114      2,222        3,666       4,061
Other income, principally interest       130        137          280         322
Interest expense                         161        179          340         351
                                    --------   --------     --------    --------
Earnings before income taxes           2,083      2,180        3,606       4,032
Income tax provision                     631        734        1,118       1,391
                                    --------   --------     --------    --------
Net earnings                           1,452      1,446        2,488       2,641
Preferred stock dividends                  5          5           10          10
                                    --------   --------     --------    --------
Net earnings applicable to
  common shareholders               $  1,447   $  1,441     $  2,478    $  2,631
                                    ========   ========     ========    ========


                                      -1-
<PAGE>

                   INTERNATIONAL BUSINESS MACHINES CORPORATION
                            AND SUBSIDIARY COMPANIES
                CONSOLIDATED STATEMENT OF EARNINGS - (continued)
                                   (UNAUDITED)


                                     Three Months Ended        Six Months Ended
                                          June 30                  June 30
                                    -------------------     --------------------
                                       1998      1997          1998        1997
                                    -------------------     --------------------

Net earnings per share of
  common stock - basic              $   1.54   $   1.46     $   2.62    $   2.64

Net earnings per share of
  common stock - assuming dilution  $   1.50   $   1.43     $   2.56    $   2.58

Average number of common
  shares outstanding: (millions)

  Basic                                939.6      986.9        944.9       995.1

  Diluted                              964.3    1,010.4        969.5     1,019.2

Cash dividends per common share     $    .22   $    .20     $    .42    $   .375

(The accompanying notes are an integral part of the financial statements.)


                                      -2-
<PAGE>

                   INTERNATIONAL BUSINESS MACHINES CORPORATION
                            AND SUBSIDIARY COMPANIES
                  CONSOLIDATED STATEMENT OF FINANCIAL POSITION
                                   (UNAUDITED)

                                     ASSETS

                                                    At June 30    At December 31
(Dollars in millions)                                  1998            1997*
                                                    -----------   --------------
Current assets:

  Cash and cash equivalents                          $  5,084         $  7,106

  Marketable securities - at cost, which
    approximates market                                   387              447

  Notes and accounts receivable -
    net of allowances                                  15,816           18,106

  Sales-type leases receivable                          5,769            5,720

  Inventories, at lower of average cost or market
    Finished goods                                      1,269            1,090
    Work in process and raw materials                   4,352            4,049
                                                     --------         --------
  Total inventories                                     5,621            5,139

  Prepaid expenses and other current assets             4,334            3,900
                                                     --------         --------
Total current assets                                   37,011           40,418


Plant, rental machines and other property              42,436           42,133
  Less: Accumulated depreciation                       23,983           23,786
                                                     --------         --------
Plant, rental machines and other property - net        18,453           18,347

Software, less accumulated
  amortization (1998, $12,682; 1997, $12,610)             703              819

Investments and sundry assets                          20,945           21,915
                                                     --------         --------

Total assets                                         $ 77,112         $ 81,499
                                                     ========         ========

* Reclassified to conform to 1998 presentation.

(The accompanying notes are an integral part of the financial statements.)


                                      -3-
<PAGE>

                   INTERNATIONAL BUSINESS MACHINES CORPORATION
                            AND SUBSIDIARY COMPANIES
           CONSOLIDATED STATEMENT OF FINANCIAL POSITION - (CONTINUED)
                                   (UNAUDITED)

                      LIABILITIES AND STOCKHOLDERS' EQUITY

(Dollars in millions except                      At June 30     At December 31
 per share amounts)                                 1998             1997*
                                                 -----------    --------------
Current liabilities:

  Taxes                                            $  1,756       $  2,381

  Accounts payable and accruals                      15,023         17,896

  Short-term debt                                    13,271         13,230
                                                   --------       --------
Total current liabilities                            30,050         33,507

Long-term debt                                       14,590         13,696

Other liabilities                                    12,522         12,993

Deferred income taxes                                 1,373          1,487
                                                   --------       --------
Total liabilities                                    58,535         61,683

Stockholders' equity:
  Preferred stock - par value $.01 per share            252            252
    Shares authorized:    150,000,000
    Shares issued: 1998 -   2,597,261
                   1997 -   2,597,261

  Common stock - par value $.50 per share             9,107          8,601
    Shares authorized:    1,875,000,000
    Shares issued: 1998 -   976,994,457
                   1997 -   969,015,351

  Retained earnings                                  13,037         11,010

  Treasury stock - at cost                           (3,659)           (86)
    Shares:  1998 - 33,931,487
             1997 -    923,955

  Employee benefits trust - at cost                    (860)          (860)
    Shares:  1998 - 10,000,000
             1997 - 10,000,000

  Gains and losses not affecting
    retained earnings                                   700            899
                                                  ---------       --------
Total stockholders' equity                           18,577         19,816
                                                   --------       --------
Total liabilities and stockholders' equity         $ 77,112       $ 81,499
                                                   ========       ========
* Reclassified to conform to 1998 presentation.

(The accompanying notes are an integral part of the financial statements.)


                                      -4-
<PAGE>

                   INTERNATIONAL BUSINESS MACHINES CORPORATION
                            AND SUBSIDIARY COMPANIES
                      CONSOLIDATED STATEMENT OF CASH FLOWS
                        FOR THE SIX MONTHS ENDED JUNE 30:
                                   (UNAUDITED)

(Dollars in millions)                                     1998           1997
                                                        --------       -------
Cash flow from operating activities:
  Net earnings                                          $  2,488       $ 2,641
  Adjustments to reconcile net earnings to cash
   provided from operating activities:

   Effect of restructuring charges                          (177)         (216)
   Depreciation                                            2,054         1,861
   Amortization of software                                  283           548
   Gain on disposition of fixed and other assets            (128)          (70)
   Changes in operating assets and liabilities            (1,180)       (1,830)
                                                        --------       -------
    Net cash provided from operating activities            3,340         2,934
                                                        --------       -------
Cash flow from investing activities:
  Payments for plant, rental machines
    and other property, net of proceeds                   (2,403)       (2,544)
  Investment in software                                    (120)         (140)
  Purchases of marketable securities and
    other investments                                     (1,150)         (614)
  Proceeds from marketable securities and
    other investments                                        812           538
                                                        --------       -------
    Net cash used in investment
     activities                                           (2,861)       (2,760)
                                                        --------       -------
Cash flow from financing activities:
  Proceeds from new debt                                   4,106         3,261
  Payments to settle debt                                 (2,326)       (2,147)
  Short-term borrowings less
   than 90 days - net                                       (560)        1,066
  Common stock transactions - net                         (3,272)       (3,043)
  Cash dividends paid                                       (412)         (383)
                                                        --------       -------
    Net cash used in financing activities                 (2,464)       (1,246)
                                                        --------       -------
Effect of exchange rate changes
  on cash and cash equivalents                               (37)         (112)
                                                        --------       -------
Net change in cash and cash equivalents                   (2,022)       (1,184)

Cash and cash equivalents at January 1                     7,106         7,687
                                                        --------       -------
Cash and cash equivalents at June 30                    $  5,084       $ 6,503
                                                        ========       =======

(The accompanying notes are an integral part of the financial statements.)


                                      -5-
<PAGE>

Notes to Consolidated Financial Statements

1. In the opinion of the management of International Business Machines
Corporation (the company), all adjustments necessary to a fair statement of the
results for the unaudited three and six month periods have been made.

2. The gains and losses not affecting retained earnings line of stockholders'
equity is comprised of foreign currency translation adjustments and unrealized
gains and losses on marketable securities. Net earnings and gains and losses not
affecting retained earnings amounted to $1,340 million and $1,487 million for
the three month periods ended June 30, 1998 and 1997, respectively. The amounts
for the six month periods ended June 30, 1998 and 1997 were $2,289 million and
$1,836 million, respectively.

3. In June 1998, the Financial Accounting Standards Board issued Statement of
Financial Accounting Standards 133, "Accounting for Derivative Instruments and
Hedging Activities." This statement establishes accounting and reporting
standards for derivative instruments. It requires an entity to recognize all
derivatives as either assets or liabilities in the statement of financial
position and measure those instruments at fair value. This statement is
effective for fiscal years beginning after June 15, 1999, although early
adoption is permitted. Management is in the process of determining the impacts
to the company's financial statements as a result of the adoption of this
standard.

ITEM 2.

                      MANAGEMENT'S DISCUSSION AND ANALYSIS
                OF RESULTS OF OPERATIONS AND FINANCIAL CONDITION
                FOR THE THREE AND SIX MONTHS ENDED JUNE 30, 1998

      The company's second-quarter and first-half results were mixed across its
portfolio of businesses as the company encountered a variety of discrete market
and economic conditions. During the second quarter, the company was faced with
intense price competition and inventory management challenges in the personal
computer channel, continuing price erosion in DRAM chips and hard disk drives,
the impact of the Asian economic crisis, and the continuing negative impact
associated with foreign currency translation. In addition, the announcement of
the G5 model of the System/390 processor family resulted in a market pause in
anticipation of the new model availability in late August. The impact of these
factors was principally on hardware revenue, similar to the first quarter, but
more pronounced due to the System/390 product transition. Despite these
challenges, the company continued to make progress towards its objectives on
many fronts. Services revenue in the second quarter grew by nearly $1 billion
over the same period last year and software displayed good revenue growth and
margin performance year-to-year. Also, the technology-driven OEM businesses,
continued to show strong growth and offer further investment opportunities for
the company.

      Many of the market and economic dynamics experienced in the first half
will still be operative in the second half of 1998. However, some important
transitions will be behind the company, in particular, the System/390 product
transition. In addition, significant progress has occurred in executing to the
company's inventory management model for the personal computer channel.


                                      -6-
<PAGE>

Results of Operations

(Dollars in millions)    Three Months Ended       Six Months Ended
                              June 30                 June 30
                         -------------------     -------------------
                           1998       1997          1998      1997
                         --------   --------     --------   --------

Revenue                  $ 18,823   $ 18,872     $ 36,441   $ 36,180
Cost                       11,677     11,471       22,845     22,187
                         --------   --------     --------   --------
Gross profit             $  7,146   $  7,401     $ 13,596   $ 13,993
Gross profit margin          38.0%      39.2%        37.3%      38.7%
Net earnings             $  1,452   $  1,446     $  2,488   $  2,641

      Net earnings were $1,452 million or $1.50 per diluted common share for the
three months ended June 30, 1998, compared with net earnings of $1,446 million
or $1.43 per diluted common share in the second quarter of 1997. Net earnings
for the six months ended June 30, 1998 were $2.5 billion or $2.56 per diluted
common share compared with net earnings of $2.6 billion or $2.58 per diluted
common share in the comparable period last year.

      As a result of the company's share repurchase program, the average number
of common shares outstanding were lower by 47.3 million to 939.6 million shares
in the second quarter and by 50.2 million to 944.9 million shares on a six
months basis versus comparable periods in 1997.

      Revenue for the three months ended June 30, 1998 was flat as reported and
up 4% on a constant currency basis as the company continued to experience
category performance similar to the first quarter of 1998. Services revenue
growth remained strong while software continued to display improved year to year
growth dynamics. However, the hardware category deteriorated further from its
first quarter performance due to personal computer and OEM price pressures and
the System/390 product transition. For the period ended June 30, 1998, revenue
increased 0.7 percent as reported and approximately 5% on a constant currency
basis versus last year.

      On an as-reported basis, second-quarter revenue in the United States was
$8.2 billion, an increase of 3.8 percent from the same period of 1997. Revenue
from Europe/Middle East/Africa grew 2.0 percent to $5.8 billion and revenue from
Canada increased 13.3 percent to $790 million. Asia-Pacific revenue was $3.3
billion, a decline of 13.1 percent. Revenue from Latin America totaled $782
million, a decrease of 7.7 percent compared with the second quarter of 1997.

      Excluding the effects of currency translation, Asia-Pacific revenue grew 1
percent, European revenue grew 5 percent, Canada increased 19 percent and Latin
America declined 6 percent, versus the second-quarter 1997.

      The overall gross profit margin for the three months ended June 30, 1998
was 38.0 percent or 1.2 points lower than the comparable period last year. The
decline on a year-to-year basis is consistent with the first quarter of 1998 and
continues to reflect the changing mix of the company's businesses which tends to
lower the overall gross profit margin. For the six months ended June 30, 1998,
overall gross profit margin of 37.3 percent was down 1.4 points versus last
year.


                                      -7-
<PAGE>

Results of Operations - (continued)

      Total expenses declined 3.0 percent compared with last year's second
quarter. The company's expense-to-revenue ratio improved .8 points versus last
year.

      The company's tax rate was 30.3 percent in the second quarter compared
with 33.7 percent in the year-earlier period as the company continued to benefit
from increased profit generation in markets with lower effective tax rates.

Hardware Sales

(Dollars in millions)          Three Months Ended       Six Months Ended
                                    June 30                 June 30
                               -------------------     -------------------
                                 1998       1997          1998     1997
                               --------   --------     --------   --------

Total revenue                  $  7,523   $  8,616     $ 14,643   $ 16,377
Total cost                        5,241      5,559       10,343     10,803
                               --------   --------     --------   --------
Gross profit                   $  2,282   $  3,057     $  4,300   $  5,574
Gross profit margin                30.3%      35.5%        29.4%      34.0%

      Revenue from hardware sales for the second quarter and first six months of
1998 declined 12.7 percent and 10.6 percent, respectively, when compared to the
same periods in 1997. On a constant currency basis, the year-to-year decrease
was 9 percent in the second quarter and 7 percent through the first half of
1998.

      The hardware sales declines were due principally to continued weakness in
personal computers as a result of severe price competition and lower Systems/390
revenue as a result of price reductions and the G5 product transition. Reactions
to the G5 announcement have been positive and indications are that the G5 is
going to be a strong product and will be the most powerful server in the market.
RS/6000 revenue was lower for both the quarter and first six months of 1998,
versus comparable periods of 1997. AS/400 revenue was down slightly in the
second quarter, but increased on a six months basis when compared to the same
periods last year.

      Revenue from storage products increased on both a second-quarter and six
months basis when compared to the same periods in 1997, due primarily to strong
sales of hard disk drives, partially offset by lower revenue for high-end
storage systems, which experienced a significant decline in Asia.

      Semiconductor revenue declined in the second quarter and increased for the
first six months of 1998, when compared to the same periods in 1997. The decline
in the second quarter was primarily due to lower DRAM prices and an
Asian-related slow down in demand for ASICS products.

      Hardware sales gross profit for the second quarter and first six months of
1998 decreased 25.4 percent and 22.9 percent, respectively from comparable
periods in 1997. The hardware gross profit margin decreased 5.2 points and 4.6
points, respectively, from the prior year. These decreases were primarily driven
by pricing pressures associated with personal computers, hard disk drives and
memory chip prices when compared to the same periods in 1997. These declines
were partially offset by improved margins for AS/400, RS/6000 and System/390
products.


                                      -8-
<PAGE>

Results of Operations - (continued)

Services Other Than Maintenance

(Dollars in millions)          Three Months Ended       Six Months Ended
                                    June 30                 June 30
                               -------------------     -------------------
                                 1998       1997          1998      1997
                               --------   --------     --------   --------
Total revenue                  $  5,603   $  4,612     $ 10,611   $  8,707
Total cost                        4,378      3,664        8,330      6,961
                               --------   --------     --------   --------
Gross profit                   $  1,225   $    948     $  2,281   $  1,746
Gross profit margin                21.9%      20.6%        21.5%      20.0%

      Services revenue increased 21.5 percent and 21.9 percent, respectively, in
the second quarter and first six months of 1998, when compared to the same
period of last year. On a constant currency basis, growth rates in both the
quarter and the first half of 1998 would have improved 5 points to approximately
27 percent. The revenue increases were driven by continued strong growth in all
categories of service offerings. In the second quarter, new contract signings
amounted to $7.0 billion. Most of these contracts are for strategic outsourcing
agreements and require a full spectrum of the company's services.

      Services gross profit dollars increased in the second quarter and first
six months of 1998 by 29.2 percent and 30.6 percent, respectively, when compared
to year-ago periods. The positive gross profit margin trend seen in the first
quarter continued in the second quarter as margin improved 1.3 points versus
last year due to improved utilization rates and contract management.

Software

(Dollars in millions)        Three Months Ended         Six Months Ended
                                  June 30                   June 30
                             -------------------       -------------------
                               1998       1997            1998      1997
                             --------   --------       --------   --------

Total revenue                $  3,228   $  3,084       $  6,246   $  6,034
Total cost                        755        907          1,525      1,819
                             --------   --------       --------   --------
Gross profit                 $  2,473   $  2,177       $  4,721   $  4,215
Gross profit margin              76.6%      70.6%          75.6%      69.9%

      Revenue from software for the second quarter and first six months of 1998
increased 4.6 percent and 3.5 percent, respectively, over comparable periods in
1997. The second-quarter and first-six months results were negatively affected
by approximately 4 and 5 percentage points, respectively, from currency in 1998.
The revenue increases are being driven by growth in the company's middleware
products consisting of data management, transaction processing, systems
management, and messaging and collaboration. On a constant currency basis,
operating systems revenue also showed double digit growth, primarily as a result
of AS/400 revenue.


                                      -9-
<PAGE>

Results of Operations - (continued)

      Software gross profit dollars for the second quarter and first six months
of 1998 increased 13.6 and 12.0 percent, respectively, versus the same periods
in 1997. Software gross profit margins increased 6.0 percentage points and 5.7
percentage points, respectively, for the second quarter and first six months of
1998, when compared to the same periods of last year. The company continues to
see an improved margin due to lower levels of amortization associated with
deferred development costs.

Maintenance

(Dollars in millions)            Three Months Ended       Six Months Ended
                                      June 30                 June 30
                                 -------------------     ------------------
                                   1998       1997          1998      1997
                                 --------   --------     --------   -------
Total revenue                    $  1,480   $  1,632     $  2,956   $ 3,235
Total cost                            741        873        1,523     1,726
                                 --------   --------     --------   -------
Gross profit                     $    739   $    759     $  1,433   $ 1,509
Gross profit margin                  49.9%      46.5%        48.5%     46.6%

      Maintenance revenue for the second quarter and first six months of 1998
decreased 9.3 percent and 8.6 percent, respectively, from comparable periods in
1997. The second-quarter and first-six months revenue was negatively affected by
approximately 5 percentage points, respectively, from currency in 1998.
Maintenance gross profit dollars decreased 2.6 percent and 5.0 percent,
respectively, in the second quarter and first six months of 1998, when compared
to the same periods of 1997. While maintenance revenue continues to be impacted
by aggressive pricing dynamics, the gross profit margin has displayed a positive
trend in both the first and second quarter by virtue of effective cost
management actions.

Rentals and financing

(Dollars in millions)           Three Months Ended       Six Months Ended
                                     June 30                 June 30
                                -------------------     ------------------
                                  1998       1997          1998      1997
                                --------   --------     --------   -------

Total revenue                   $    989   $    928     $  1,985   $ 1,827
Total cost                           562        468        1,124       878
                                --------   --------     --------   -------
Gross profit                    $    427   $    460     $    861   $   949
Gross profit margin                 43.1%      49.6%        43.4%     52.0%

      Revenue from rentals and financing increased 6.6 percent and 8.6 percent,
respectively, for the second quarter and first six months of 1998, versus
comparable periods in 1997. The second-quarter and first-six months revenue was
negatively affected by approximately 3 percentage points, respectively, from
currency in 1997. The increases in revenue were driven by higher levels of
operating leases on low-end products.


                                      -10-
<PAGE>

Results of Operations - (continued)

      Rentals and financing gross profit dollars decreased 7.2 percent and 9.3
percent, respectively, for the second quarter and first six months of 1998, when
compared to the same periods of the prior year. The decline in gross profit
dollars and margin were principally due to a trend towards financing a greater
amount of low-end products and faster growth in the more competitive U.S.
market.

Expenses

(Dollars in millions)           Three Months Ended       Six Months Ended
                                     June 30                 June 30
                                -------------------     ------------------
                                  1998       1997          1998      1997
                                --------   --------     --------   -------
Selling, general and
   administrative               $  3,812   $  3,958     $  7,531   $ 7,642
Percentage of revenue               20.3%      21.0%        20.7%     21.1%

Research, development and
   engineering                  $  1,220   $  1,221     $  2,399   $ 2,290
Percentage of revenue                6.5%       6.5%         6.6%      6.3%

      Selling, general and administrative expense for the second quarter and
first six months of 1998 decreased 3.7 percent and 1.4 percent, respectively,
from the same periods in 1997. Currency had a benefit of about 3 percentage
points for the second quarter and first six months of 1998, respectively, versus
the same periods in 1997. The company continues to aggressively manage
infrastructure expense and its overall portfolio to allow for investment in
growth segments of the business.

      Research, development and engineering expense, was flat and increased 4.8
percent, respectively, for the second quarter and first six months of 1998, when
compared to the same periods of 1997. The increase in the six months of 1998 was
primarily due to the charges associated with the acquisition of Software
Artistry, Inc. and CommQuest Technologies in the first quarter of 1998.

      Interest on total borrowings of the company and its subsidiaries, which
includes interest expense and interest costs associated with rentals and
financing, amounted to $387 million and $795 million for the second quarter and
first six months of 1998, respectively. Of these amounts, $7 million for the
second quarter and $11 million for the first six months were capitalized.

      The effective tax rate for the quarter ended June 30, 1998, was 30.3
percent, versus 33.7 percent for the same period in 1997. The decrease was
primarily the result of the source of earnings and corresponding weighting of
tax rates on a country-by-country basis, as the company continued to expand into
markets with lower effective tax rates.


                                      -11-
<PAGE>

Results of Operations - (continued)

      The effective tax rate for the first six months of 1998 was 31.0 percent,
versus 34.5 percent for the same period in 1997. The 3.5 points decrease from
the 1997 rate was a result of the same factors that impacted the second quarter
effective tax rate.

Financial Condition

      During the first half of 1998, the company continued to make significant
investments to fund its future growth and increase shareholder value. These
included expenditures of $2.7 billion for research, development and engineering,
$2.8 billion in plant, rental machines and other property and $3.6 billion for
the repurchase of the company's common shares. The company had $5.5 billion in
cash, cash equivalents and marketable securities at June 30, 1998.

Cash Flow

(Dollars in millions)                      Six Months Ended
                                               June 30
                                          ------------------
                                            1998       1997
                                          -------    -------
Net cash provided from (used in):
   Operating activities                   $ 3,340    $ 2,934
   Investing activities                    (2,861)    (2,760)
   Financing activities                    (2,464)    (1,246)

Effect of exchange rate changes
   on cash and cash equivalents               (37)      (112)
                                          -------    -------

Net change in cash and cash equivalents   $(2,022)   $(1,184)

Working Capital

(Dollars in millions)              At June 30     At December 31
                                      1998             1997
                                  -----------     --------------
Current assets                      $ 37,011         $ 40,418
Current liabilities                   30,050           33,507
                                    --------         --------
   Working capital                  $  6,961         $  6,911

Current ratio                         1.23:1           1.21:1


                                      -12-
<PAGE>

Financial Condition - (continued)

      Current assets declined $3.4 billion from year-end 1997 with declines of
$2.1 billion in cash, cash equivalents and marketable securities, and $2.2
billion in accounts receivable, offset by increases of $.5 billion in inventory
and $.4 billion in prepaid expense. The decrease in cash, cash equivalents and
marketable securities resulted primarily from the stock repurchases and capital
expenditures, offset by cash generated from operations and debt financing. The
decline in accounts receivable was attributable to the collection of
traditionally higher year-end accounts receivable balances. Inventories
increased mainly due to ramp-up activity relative to new model introductions,
while prepaid expenses reflect the seasonal increase in prepaid expenses from
year-end levels.

      Current liabilities declined $3.5 billion with declines of $2.9 billion in
accounts payable and accruals (resulting primarily from seasonal declines in
these balances from their normally higher year-end levels), and $.6 billion in
taxes.

Investments

      During the first half of 1998, the company continued to invest in its
rapidly growing services business, primarily in the management of customers'
information technology, as well as, in manufacturing capacity for hard disk
drives and microelectronics. The company's capital investment for plant, rental
machines and property was $2.8 billion during the first half of 1998, a decrease
of $.2 billion from the comparable 1997 period.

      In addition to software development expense included in research,
development and engineering expense, the company capitalized $.1 billion of
software costs during the first half of both 1998 and 1997. Amortization of
capitalized software costs amounted to $.3 billion during the first half of
1998, a decline of $.3 billion from the comparable 1997 period.

      Investments and sundry assets were $20.9 billion at June 30, 1998, a
decrease of $1.0 billion from year-end 1997, resulting primarily from a decrease
in non-current sales-type lease receivables and deferred tax assets.

Other Non-Current Liabilities

      Other non-current liabilities of $12.5 billion at June 30, 1998, declined
$.5 billion from year-end 1997 primarily due to reductions in restructuring
accrual balances related to pre-1996 restructuring programs, and in
postretirement benefits and non-U.S. retirement reserves.


                                      -13-
<PAGE>

Financial Condition - (continued)

Debt and Equity

(Dollars in millions)             At June 30      At December 31
                                     1998             1997
                                  ------------    --------------

"Core" debt                         $  3,614         $  3,102
Global financing debt                 24,247           23,824
                                    --------         --------
   Total debt                       $ 27,861         $ 26,926

Stockholders' equity                $ 18,577         $ 19,816

Debt/capitalization                     60.0%            57.6%
"Core" debt/capitalization              19.6%            16.1%
Global financing debt/equity           6.4:1            6.5:1

      Total debt increased $.9 billion from year-end 1997, as "core" debt
increased $.5 billion, and debt in support of growth in global financing assets
increased $.4 billion. Stockholders' equity declined $1.2 billion from December
31, 1997, as the increase in the company's retained earnings was more than
offset by the common share repurchases.

Liquidity

      The company maintains a $10.0 billion committed global credit facility as
part of its ongoing efforts to ensure appropriate levels of liquidity. As of
June 30, 1998, $8.7 billion of this confirmed line of credit remained unused and
available for future use.

      At June 30, 1998, the company had an outstanding balance of $1.2 billion
in assets under management from the securitization of loans, leases and trade
receivables.

Year 2000

      The "Year 2000 issue" arises because many computer hardware and software
systems use only two digits to represent the year. As a result, these systems
and programs may not process dates beyond 1999, which may cause errors in
information or systems failures. Assessments of the potential effects of the
Year 2000 issues vary markedly among different companies, governments,
consultants, economists and commentators, and it is not possible to predict what
the actual impact may be. Given this uncertainty, the company recognizes the
need to remain vigilant and is continuing its analysis, assessment and planning
for the various Year 2000 issues, across its business.

      With respect to its internal systems, the potential Year 2000 impacts
extend beyond the company's information technology systems to its manufacturing
and development systems and physical facilities. The company is addressing these
issues, and aims to complete these efforts throughout 1999, including testing
phases. Although the company believes its efforts will be successful and does
not expect the costs of these efforts to be material, any failure or delay could
result in the disruption of business and in the


                                      -14-
<PAGE>

Year 2000 - (continued)

company incurring substantial expense. To minimize any such potential impact,
the company has initiated a global contingency planning effort designed to
support critical business operations.

      As part of its ordinary course product development efforts, the company's
current product and service offerings have been designed to be Year 2000 ready.
The Year 2000 readiness of the company's customers varies, and the company is
actively encouraging its customers to prepare their own systems, making
available a broad array of product, service and educational offerings to assist
them (see the IBM Year 2000 Home Page at http://www.ibm.com/IBM/year2000/).
Efforts by customers to address Year 2000 issues may absorb a substantial part
of their information technology budgets in the near term, and customers may
either delay or accelerate the deployment and implementation of new applications
and systems. While this behavior may increase demand for certain of the
company's products and services, including its Year 2000 offerings, it could
also soften demand for other offerings. These events could affect the company's
revenues or change its revenue patterns.

      The company is also in the process of assessing the Year 2000 readiness of
its key suppliers, subcontractors and business partners. This project has been
undertaken with a view toward assuring that the company has adequate resources
for required supplies, components and complementary offerings, and the company
expects to complete this project early in 1999. A failure of the company's
suppliers, subcontractors and business partners to address adequately their Year
2000 readiness could affect the company's business. As part of its contingency
planning efforts, the company is preparing to identify alternate sources or
strategies where necessary if significant exposures are identified.

      In addition, the company is aware of the potential for claims against it
and other companies for damages arising from products and services that were not
Year 2000 ready. The company continues to believe that any such claims against
it would be without merit.

      Finally, the Year 2000 presents a number of other risks and uncertainties
that could affect the company, including utilities failures, competition for
personnel skilled in the resolution of Year 2000 issues, and the nature of
government responses to the issues, among others. While the company continues to
believe that the Year 2000 matters discussed above will not have a material
impact on its business, financial condition or results of operations, it remains
uncertain whether or to what extent the company may be affected.

Forward Looking and Cautionary Statements

      Except for the historical information and discussions contained herein,
statements contained in this Form 10-Q may constitute 'forward looking
statements' within the meaning of the Private Securities Litigation Reform Act
of 1995. These statements involve a number of risks, uncertainties and other
factors that could cause actual results to differ materially, including the
company's failure to continue to develop and market new and innovative products
and services and to keep pace with technological change; competitive pressures;
failure to obtain or protect intellectual property rights; the ultimate impact
of the various Year 2000 issues on the company's business, financial condition
or results of operations; quarterly


                                      -15-
<PAGE>

Forward Looking and Cautionary Statements - (continued)

fluctuations in revenues and volatility of stock prices; the company's ability
to attract and retain key personnel; currency and customer financing risks;
dependence on certain suppliers; changes in the financial or business condition
of the company's distributors or resellers; the company's ability to
successfully manage acquisitions and alliances; legal, political and economic
changes and other risks, uncertainties and factors discussed in the company's
other filings with the Securities and Exchange Commission, and in materials
incorporated therein by reference, including the company's Form 10-K filed on
March 30, 1998.

                          Part II - Other Information

ITEM 4. Submission of Matters to a Vote of Security Holders

      The Annual Meeting of Stockholders of International Business Machines
Corporation was held on April 28, 1998. For more information on the following
proposals, see the company's proxy statement dated March 13, 1998, the relevant
portions of which are incorporated herein by reference.

      (1)   Each of the eleven nominees to the Board of Directors was elected
            for a one-year term by the stockholders:

             DIRECTOR               FOR          WITHHELD

          C. Black              763,601,412      5,002,041
          J. Dormann            763,787,920      4,815,533
          L. V. Gerstner, Jr.   763,358,818      5,244,635
          N. O. Keohane         763,100,615      5,502,838
          C. F. Knight          763,775,338      4,828,115
          M. Makihara           760,400,024      8,203,429
          L. A. Noto            763,602,202      5,001,251
          J. B. Slaughter       762,937,365      5,666,088
          A. Trotman            763,702,286      4,901,167
          L. C. van Wachem      763,432,491      5,170,962
          C. M. Vest            763,355,302      5,248,151

      (2)   The appointment of Price Waterhouse LLP* as independent auditors of
            the company was ratified:

                    For             764,043,702
                    Not For           1,954,759
                    Abstain           2,604,992
                    Total           768,603,453

      (3)   The stockholders defeated a shareholder proposal on Executive
            Compensation:

                    For               38,211,948
                    Not For          563,467,429
                    Abstain           19,807,669
                    Broker No Vote   147,116,407
                    Total            768,603,453

* Effective July 1, 1998, Price Waterhouse LLP combined with Coopers &
  Lybrand L.L.P. to form PricewaterhouseCoopers LLP.


                                      -16-
<PAGE>

                   Part II - Other Information - (continued)

ITEM 6 (a). Exhibits

Exhibit Number

      3     The By-laws of IBM as amended through June 30, 1998.

      11    Statement re: computation of per share earnings.

      12    Statement re: computation of ratios.

      22    The company's proxy statement dated March 13, 1998, containing the
            full text of the proposals referred to in Item 4, which was
            previously filed electronically, is hereby incorporated by
            reference.

ITEM 6 (b).  Reports on Form 8-K

      A Form 8-K dated April 20, 1998 was filed with respect to the company's
financial results for the period ended March 31, 1998 and included unaudited
consolidated financial statements for the period ended March 31, 1998.

                                   SIGNATURE

      Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned thereunto duly authorized.

                      International Business Machines Corporation
                      -------------------------------------------
                                      (Registrant)

Date: August 12, 1998
- ---------------------


                      By:              Mark Loughridge
                             ------------------------------------
                                       Mark Loughridge
                                 Vice President and Controller


                                      -17-



                                     BY-LAWS

                                       of

                   INTERNATIONAL BUSINESS MACHINES CORPORATION

                             Adopted April 29, 1958

                               As Amended Through

                                  June 30, 1998
<PAGE>

                                TABLE OF CONTENTS

                                 ARTICLE I                                  PAGE

Definitions.................................................................  1

                                   ARTICLE II

                            MEETINGS OF STOCKHOLDERS

 SEC.  1.   Place of Meetings..............................................  1
 SEC.  2.   Annual Meetings................................................  1
 SEC.  3.   Special Meetings...............................................  2
 SEC.  4.   Notice of Meetings.............................................  2
 SEC.  5.   Quorum.........................................................  2
 SEC.  6.   Organization...................................................  3
 SEC.  7.   Items of Business..............................................  3
 SEC.  8.   Voting.........................................................  4
 SEC.  9.   List of Stockholders...........................................  5
 SEC. 10.   Inspectors of Election ........................................  5

                                   ARTICLE III

                               BOARD OF DIRECTORS

 SEC.  1.   General Powers.................................................  6
 SEC.  2.   Number; Qualifications; Election; Term of Office...............  6
 SEC.  3.   Place of Meetings..............................................  6
 SEC.  4.   First Meeting..................................................  6
 SEC.  5.   Regular Meetings...............................................  6
 SEC.  6.   Special Meetings...............................................  6
 SEC.  7.   Notice of Meetings.............................................  6
 SEC.  8.   Quorum and Manner of Acting....................................  7
 SEC.  9.   Organization...................................................  7
 SEC. 10.   Resignations...................................................  7
 SEC. 11.   Vacancies......................................................  7
 SEC. 12.   Retirement of Directors........................................  7


                                      - i -
<PAGE>

                                   ARTICLE IV

                         EXECUTIVE AND OTHER COMMITTEES

 SEC.  1.   Executive Committee............................................  8
 SEC.  2.   Powers of the Executive Committee..............................  8
 SEC.  3.   Meetings of the Executive Committee............................  8
 SEC.  4.   Quorum and Manner of Acting of the Executive Committee.........  9
 SEC.  5.   Other Committees...............................................  9
 SEC.  6.   Changes in Committees; Resignations; Removals; Vacancies....... 10

                                    ARTICLE V

                                    OFFICERS

 SEC.  1.   Number and Qualifications...................................... 10
 SEC.  2.   Resignations................................................... 10
 SEC.  3.   Removal........................................................ 11
 SEC.  4.   Vacancies...................................................... 11
 SEC.  5.   Chairman of the Board.......................................... 11
 SEC.  6.   Vice Chairman of the Board..................................... 11
 SEC.  7.   President...................................................... 11
 SEC.  8.   Designated Officers............................................ 12
 SEC.  9.   Executive Vice Presidents, Senior Vice Presidents and Vice
            Presidents..................................................... 12
 SEC. 10.   Treasurer...................................................... 12
 SEC. 11.   Secretary...................................................... 13
 SEC. 12.   Controller..................................................... 14
 SEC. 13.   Compensation................................................... 14

                                   ARTICLE VI

                           CONTRACTS, CHECKS, DRAFTS,
                               BANK ACCOUNTS, ETC.

 SEC.  1.   Execution of Contracts......................................... 14
 SEC.  2.   Loans.......................................................... 14
 SEC.  3.   Checks, Drafts, etc............................................ 15
 SEC.  4.   Deposits....................................................... 15
 SEC.  5.   General and Special Bank Accounts.............................. 15
 SEC.  6.   Indemnification................................................ 15


                                     - ii -
<PAGE>

                                   ARTICLE VII

                                     SHARES

 SEC.  1.   Stock Certificates............................................. 16
 SEC.  2.   Books of Account and Record of Stockholders.................... 16
 SEC.  3.   Transfers of Stock............................................. 16
 SEC.  4.   Regulations.................................................... 17
 SEC.  5.   Fixing of Record Date.......................................... 17
 SEC.  6.   Lost, Destroyed or Mutilated Certificates...................... 17
 SEC.  7.   Inspection of Records.......................................... 18
 SEC.  8.   Auditors....................................................... 18

                                  ARTICLE VIII

                                     OFFICES

 SEC.  1.   Principal Office............................................... 18
 SEC.  2.   Other Offices.................................................. 18

                                   ARTICLE IX

 Waiver of Notice.......................................................... 18

                                    ARTICLE X

 Fiscal Year............................................................... 19

                                   ARTICLE XI

 Seal...................................................................... 19

                                   ARTICLE XII

 Amendments................................................................ 19


                                     - iii -
<PAGE>

                                     BY-LAWS

                                       OF

                             INTERNATIONAL BUSINESS
                              MACHINES CORPORATION

                                     -------

                                    ARTICLE I

                                   DEFINITIONS

      In these By-laws, and for all purposes hereof, unless there be something
in the subject or context inconsistent therewith:

      (a) 'Corporation' shall mean International Business Machines Corporation.

      (b) 'Certificate of Incorporation' shall mean the restated Certificate of
Incorporation as filed on May 27, 1992, together with any and all amendments and
subsequent restatements thereto.

      (c) 'Board' shall mean the Board of Directors of the Corporation.

      (d) 'stockholders' shall mean the stockholders of the Corporation.

      (e) 'Chairman of the Board', 'Vice Chairman of the Board', 'Chairman of
the Executive Committee', 'Chief Executive Officer,' 'Chief Financial Officer',
'Chief Accounting Officer', 'President', 'Executive Vice President', 'Senior
Vice President', 'Vice President', 'Treasurer', 'Secretary', or 'Controller', as
the case may be, shall mean the person at any given time occupying the
particular office with the Corporation.

                                   ARTICLE II

                            MEETINGS OF STOCKHOLDERS

      SECTION 1. Place of Meetings. Meetings of the stockholders of the
Corporation shall be held at such place either within or outside the State of
New York as may from time to time be fixed by the Board or specified or fixed in
the notice of any such meeting.

      SECTION 2. Annual Meetings. The annual meeting of the stockholders of the
Corporation for the election of directors and for the transaction of such other
business as may properly come before the meeting shall be held on the last
Tuesday of April of each year, if not a legal holiday, or, if such day shall be
a legal holiday, then on the next succeeding day not a legal holiday. If any
annual meeting shall not be held on the day designated herein, or if the
directors to be elected at such annual


                                       1
<PAGE>

meeting shall not have been elected thereat or at any adjournment thereof, the
Board shall forthwith call a special meeting of the stockholders for the
election of directors to be held as soon thereafter as convenient and give
notice thereof as provided in these By-laws in respect of the notice of an
annual meeting of the stockholders. At such special meeting the stockholders may
elect the directors and transact other business with the same force and effect
as at an annual meeting of the stockholders duly called and held.

      SECTION 3. Special Meetings. Special meetings of the stockholders, unless
otherwise provided by law, may be called at any time by the Chairman of the
Board or by the Board.

      SECTION 4. Notice of Meetings. Notice of each meeting of the stockholders,
annual or special, shall be given in the name of the Chairman of the Board, a
Vice Chairman of the Board or the President or a Vice President or the
Secretary. Such notice shall state the purpose or purposes for which the meeting
is called and the date and hour when and the place where it is to be held. A
copy thereof shall be duly delivered or transmitted to all stockholders of
record entitled to vote at such meeting, and all stockholders of record who, by
reason of any action proposed to be taken at such meeting, would be entitled to
have their stock appraised if such action were taken, not less than ten or more
than sixty days before the day on which the meeting is called to be held. If
mailed, such copy shall be directed to each stockholder at the address listed on
the record of stockholders of the Corporation, or if the stockholder shall have
filed with the Secretary a written request that notices be mailed to some other
address, it shall be mailed to the address designated in such request.
Nevertheless, notice of any meeting of the stockholders shall not be required to
be given to any stockholder who shall waive notice thereof as hereinafter
provided in Article IX of these By-laws. Except when expressly required by law,
notice of any adjourned meeting of the stockholders need not be given nor shall
publication of notice of any annual or special meeting thereof be required.

      SECTION 5. Quorum. Except as otherwise provided by law, at all meetings of
the stockholders, the presence of holders of record of a majority of the
outstanding shares of stock of the Corporation having voting power, in person or
represented by proxy and entitled to vote thereat, shall be necessary to
constitute a quorum for the transaction of business. In the absence of a quorum
at any such meeting or any adjournment or adjournments thereof, a majority in
voting interest of those present in person or represented by proxy and entitled
to vote thereat, or, in the absence of all the stockholders, any officer
entitled to preside at, or to act as secretary of, such meeting, may adjourn
such meeting from time to time without further notice, other than by
announcement at the meeting at which such adjournment shall be taken, until a
quorum shall be present thereat. At any adjourned meeting at which a quorum
shall be present any business may be transacted which might have been transacted
at the meeting as originally called.


                                       2
<PAGE>

      SECTION 6. Organization. At each meeting of the stockholders, the Chairman
of the Board, or in the absence of the Chairman of the Board, the President, or
in the absence of the Chairman of the Board and the President, a Vice Chairman
of the Board, or if the Chairman of the Board, the President, and all Vice
Chairmen of the Board shall be absent therefrom, an Executive Vice President, or
if the Chairman of the Board, the President, all Vice Chairmen of the Board and
all Executive Vice Presidents shall be absent therefrom, a Senior Vice President
shall act as chairman. The Secretary, or, if the Secretary shall be absent from
such meeting or unable to act, the person whom the Chairman of such meeting
shall appoint secretary of such meeting shall act as secretary of such meeting
and keep the minutes thereof.

      SECTION 7. Items of Business. The items of business at all meetings of the
stockholders shall be, insofar as applicable, as follows:

      -- Call to order.

      -- Proof of notice of meeting or of waiver thereof.

      -- Appointment of inspectors of election, if necessary.

      -- A quorum being present.

      -- Reports.

      -- Election of directors.

      -- Other business specified in the notice of the meeting.

      -- Voting.

      -- Adjournment.

      Any items of business not referred to in the foregoing may be taken up at
the meeting as the chairman of the meeting shall determine.

      No other business shall be transacted at any annual meeting of
stockholders, except business as may be: (i) specified in the notice of meeting
(including stockholder proposals included in the Corporation's proxy materials
under Rule 14a-8 of Regulation 14A under the Securities Exchange Act of 1934),
(ii) otherwise brought before the meeting by or at the direction of the Board of
Directors, or (iii) a proper subject for the meeting which is timely submitted
by a stockholder of the Corporation entitled to vote at such meeting who
complies fully with the notice requirements set forth below.

      For business to be properly submitted by a stockholder before any annual
meeting under subparagraph (iii) above, a stockholder must give timely notice in
writing of such business to the Secretary of the Corporation. To be considered
timely, a stockholder's notice must be received by the Secretary at the
principal executive offices of the Corporation not less than 120 calendar days
nor more than 150 calendar days before the date of the Corporation's proxy
statement released to stockholders in connection with the prior year's annual
meeting.


                                       3
<PAGE>

However, if no annual meeting was held in the previous year, or if the date of
the applicable annual meeting has been changed by more than 30 days from the
date contemplated at the time of the previous year's proxy statement, a
stockholder's notice must be received by the Secretary not later than 60 days
before the date the Corporation commences mailing of its proxy materials in
connection with the applicable annual meeting.

      A stockholder's notice to the Secretary to submit business to an annual
meeting of stockholders shall set forth: (i) the name and address of the
stockholder, (ii) the number of shares of stock held of record and beneficially
by such stockholder, (iii) the name in which all such shares of stock are
registered on the stock transfer books of the Corporation, (iv) a representation
that the stockholder intends to appear at the meeting in person or by proxy to
submit the business specified in such notice, (v) a brief description of the
business desired to be submitted to the annual meeting, including the complete
text of any resolutions intended to be presented at the annual meeting, and the
reasons for conducting such business at the annual meeting, (vi) any personal or
other material interest of the stockholder in the business to be submitted, and
(vii) all other information relating to the proposed business which may be
required to be disclosed under applicable law. In addition, a stockholder
seeking to submit such business at the meeting shall promptly provide any other
information reasonably requested by the Corporation.

      The chairman of the meeting shall determine all matters relating to the
efficient conduct of the meeting, including, but not limited to, the items of
business, as well as the maintenance of order and decorum. The chairman shall,
if the facts warrant, determine and declare that any putative business was not
properly brought before the meeting in accordance with the procedures prescribed
by this Section 7, in which case such business shall not be transacted.

      Notwithstanding the foregoing provisions of this Section 7, a stockholder
who seeks to have any proposal included in the Corporation's proxy materials
shall comply with the requirements of Rule 14a-8 under Regulation 14A of the
Securities Exchange Act of 1934, as amended.

      SECTION 8. Voting. Except as otherwise provided by law, each holder of
record of shares of stock of the Corporation having voting power shall be
entitled at each meeting of the stockholders to one vote for every share of such
stock standing in the stockholder's name on the record of stockholders of the
Corporation:

      (a) on the date fixed pursuant to the provisions of Section 5 of Article
VII of these By-laws as the record date for the determination of the
stockholders who shall be entitled to vote at such meeting, or


                                       4
<PAGE>

      (b) if such record date shall not have been so fixed, then at the close of
business on the day next preceding the day on which notice of such meeting shall
have been given, or

      (c) if such record date shall not have been so fixed and if no notice of
such meeting shall have been given, then at the time of the call to order of
such meeting.

      Any vote on stock of the Corporation at any meeting of the stockholders
may be given by the stockholder of record entitled thereto in person or by proxy
appointed by such stockholder or by the stockholder's attorney thereunto duly
authorized and delivered or transmitted to the secretary of such meeting at or
prior to the time designated in the order of business for turning in proxies. At
all meetings of the stockholders at which a quorum shall be present, all matters
(except where otherwise provided by law, the Certificate of Incorporation or
these By-laws) shall be decided by the vote of a majority in voting interest of
the stockholders present in person or represented by proxy and entitled to vote
thereat. Unless required by law, or determined by the chairman of the meeting to
be advisable, the vote on any question need not be by ballot. On a vote by
ballot, each ballot shall be signed by the stockholder voting, or by the
stockholder's proxy as such, if there be such proxy.

      SECTION 9. List of Stockholders. A list, certified by the Secretary, of
the stockholders of the Corporation entitled to vote shall be produced at any
meeting of the stockholders upon the request of any stockholder of the
Corporation pursuant to the provisions of applicable law, the Certificate of
Incorporation or these By-laws.

      SECTION 10. Inspectors of Election. Prior to the holding of each annual or
special meeting of the stockholders, two inspectors of election to serve thereat
shall be appointed by the Board, or, if the Board shall not have made such
appointment, by the Chairman of the Board. If there shall be a failure to
appoint inspectors, or if, at any such meeting, any inspector so appointed shall
be absent or shall fail to act or the office shall become vacant, the chairman
of the meeting may, and at the request of a stockholder present in person and
entitled to vote at such meeting shall, appoint such inspector or inspectors of
election, as the case may be, to act thereat. The inspectors of election so
appointed to act at any meeting of the stockholders, before entering upon the
discharge of their duties, shall be sworn faithfully to execute the duties of
inspectors at such meeting, with strict impartiality and according to the best
of their ability, and the oath so taken shall be subscribed by them. Such
inspectors of election shall take charge of the polls, and, after the voting on
any question, shall make a certificate of the results of the vote taken. No
director or candidate for the office of director shall act as an inspector of an
election of directors. Inspectors need not be stockholders.


                                       5
<PAGE>

                                   ARTICLE III

                               BOARD OF DIRECTORS

      SECTION 1. General Powers. The business and affairs of the Corporation
shall be managed by the Board. The Board may exercise all such authority and
powers of the Corporation and do all such lawful acts and things as are not by
law, the Certificate of Incorporation or these By-laws, directed or required to
be exercised or done by the stockholders.

      SECTION 2. Number; Qualifications; Election; Term of Office. The number of
directors of the Corporation shall be eleven, but the number thereof may be
increased to not more than twenty-five, or decreased to not less than nine, by
amendment of these By-laws. The directors shall be elected at the annual meeting
of the stockholders. At each meeting of the stockholders for the election of
directors at which a quorum is present, the persons receiving a plurality of the
votes at such election shall be elected. Each director shall hold office until
the annual meeting of the stockholders which shall be held next after the
election of such director and until a successor shall have been duly elected and
qualified, or until death, or until the director shall have resigned as
hereinafter provided in Section 10 of this Article III.

      SECTION 3. Place of Meetings. Meetings of the Board shall be held at such
place either within or outside State of New York as may from time to time be
fixed by the Board or specified or fixed in the notice of any such meeting.

      SECTION 4. First Meeting. The Board shall meet for the purpose of
organization, the election of officers and the transaction of other business, on
the same day the annual meeting of stockholders is held. Notice of such meeting
need not be given. Such meeting may be held at any other time or place which
shall be specified in a notice thereof given as hereinafter provided in Section
7 of this Article III.

      SECTION 5. Regular Meetings. Regular meetings of the Board shall be held
at times and dates fixed by the Board or at such other times and dates as the
Chairman of the Board shall determine and as shall be specified in the notice of
such meetings. Notice of regular meetings of the Board need not be given except
as otherwise required by law or these By-laws.

      SECTION 6. Special Meetings. Special meetings of the Board may be called
by the Chairman of the Board.

      SECTION 7. Notice of Meetings. Notice of each special meeting of the Board
(and of each regular meeting for which notice shall be required) shall be given
by the Secretary as hereinafter provided in this Section 7, in which notice
shall be stated the time, place and, if required by law or these By-laws, the
purposes of such meeting. Notice of each such meeting shall be mailed, postage
prepaid, to each director, by first-class mail, at least four days before the
day on which such meeting is to be held, or shall be sent by facsimile
transmission or comparable medium, or be delivered personally or by telephone,
at least twenty-four hours before the time at which such meeting is to be held.
Notice of any such meeting need not be given to any director who shall waive
notice thereof as provided in Article IX of these By-laws. Any


                                       6
<PAGE>

meeting of the Board shall be a legal meeting without notice thereof having been
given, if all the directors of the Corporation then holding office shall be
present thereat.

      SECTION 8. Quorum and Manner of Acting. A majority of the Board shall be
present in person at any meeting of the Board in order to constitute a quorum
for the transaction of business at such meeting. Participation in a meeting by
means of a conference telephone or similar communications equipment allowing all
persons participating in the meeting to hear each other shall constitute
presence in person at a meeting. Except as otherwise expressly required by law
or the Certificate of Incorporation and except also as specified in Section 1,
Section 5, and Section 6 of Article IV, in Section 3 of Article V and in Article
XII of these By-laws, the act of a majority of the directors present at any
meeting at which a quorum is present shall be the act of the Board. In the
absence of a quorum at any meeting of the Board, a majority of the directors
present thereat may adjourn such meeting from time to time until a quorum shall
be present thereat. Notice of any adjourned meeting need not be given. At any
adjourned meeting at which a quorum is present, any business may be transacted
which might have been transacted at the meeting as originally called. The
directors shall act only as a Board and the individual directors shall have no
power as such.

      SECTION 9. Organization. At each meeting of the Board, the Chairman of the
Board, or in the case of the Chairman's absence therefrom, the President, or in
the case of the President's absence therefrom, a Vice Chairman, or in the case
of the absence of all such persons, another director chosen by a majority of
directors present, shall act as chairman of the meeting and preside thereat. The
Secretary, or if the Secretary shall be absent from such meeting, any person
appointed by the chairman, shall act as secretary of the meeting and keep the
minutes thereof.

      SECTION 10. Resignations. Any director of the Corporation may resign at
any time by giving written notice of resignation to the Board or the Chairman of
the Board or the Secretary. Any such resignation shall take effect at the time
specified therein, or if the time when it shall become effective shall not be
specified therein, then it shall take effect immediately upon its receipt; and
unless otherwise specified therein, the acceptance of such resignation shall not
be necessary to make it effective.

      SECTION 11. Vacancies. Any vacancy in the Board, whether arising from
death, resignation, an increase in the number of directors or any other cause,
may be filled by the Board.

      SECTION 12. Retirement of Directors. The Board may prescribe a retirement
policy for directors on or after reaching a certain age, provided, however, that
such


                                       7
<PAGE>

retirement shall not cut short the annual term for which any director shall have
been elected by the stockholders.

                                   ARTICLE IV

                         EXECUTIVE AND OTHER COMMITTEES

      SECTION 1. Executive Committee. The Board, by resolution adopted by a
majority of the Board, may designate not less than four of the directors then in
office to constitute an Executive Committee, each member of which unless
otherwise determined by resolution adopted by a majority of the whole Board,
shall continue to be a member of such Committee until the annual meeting of the
stockholders which shall be held next after designation as a member of such
Committee or until the earlier termination as a director. The Chief Executive
Officer shall always be designated as a member of the Executive Committee. The
Board may by resolution appoint one member as the Chairman of the Executive
Committee who shall preside at all meetings of such Committee. In the absence of
said Chairman, the Chief Executive Officer shall preside at all such meetings.
In the absence of both the Chairman of the Executive Committee and the Chief
Executive Officer, the Chairman of the Board shall preside at all such meetings.
In the absence of the Chairman of the Executive Committee and the Chief
Executive Officer and the Chairman of the Board, the President shall preside at
all such meetings. In the absence of all such persons, a majority of the members
of the Executive Committee present shall choose a chairman to preside at such
meetings. The Secretary, or if the Secretary shall be absent from such meeting,
any person appointed by the chairman, shall act as secretary of the meeting and
keep the minutes thereof.

      SECTION 2. Powers of the Executive Committee. To the extent permitted by
law, the Executive Committee may exercise all the powers of the Board in the
management of specified matters where such authority is delegated to it by the
Board, and also, to the extent permitted by law, the Executive Committee shall
have, and may exercise, all the powers of the Board in the management of the
business and affairs of the Corporation (including the power to authorize the
seal of the Corporation to be affixed to all papers which may require it; but
excluding the power to appoint a member of the Executive Committee) in such
manner as the Executive Committee shall deem to be in the best interests of the
Corporation and not inconsistent with any prior specific action of the Board. An
act of the Executive Committee taken within the scope of its authority shall be
an act of the Board. The Executive Committee shall render in the form of minutes
a report of its several acts at each regular meeting of the Board and at any
other time when so directed by the Board.

      SECTION 3. Meetings of the Executive Committee. Regular meetings of the
Executive Committee shall be held at such times, on such dates and at such
places as shall be fixed by resolution adopted by a majority of the Executive
Committee,


                                       8
<PAGE>

of which regular meetings notice need not be given, or as shall be fixed by the
Chairman of the Executive Committee or in the absence of the Chairman of the
Executive Committee the Chief Executive Officer and specified in the notice of
such meeting. Special meetings of the Executive Committee may be called by the
Chairman of the Executive Committee or by the Chief Executive Officer. Notice of
each such special meeting of the Executive Committee (and of each regular
meeting for which notice shall be required), stating the time and place thereof
shall be mailed, postage prepaid, to each member of the Executive Committee, by
first-class mail, at least four days before the day on which such meeting is to
be held, or shall be sent by facsimile transmission or comparable medium, or be
delivered personally or by telephone, at least twenty-four hours before the time
at which such meeting is to be held; but notice need not be given to a member of
the Executive Committee who shall waive notice thereof as provided in Article IX
of these By-laws, and any meeting of the Executive Committee shall be a legal
meeting without any notice thereof having been given, if all the members of such
Committee shall be present thereat.

      SECTION 4. Quorum and Manner of Acting of the Executive Committee. Four
members of the Executive Committee shall constitute a quorum for the transaction
of business, and the act of a majority of the members of the Executive Committee
present at a meeting at which a quorum shall be present shall be the act of the
Executive Committee. Participating in a meeting by means of a conference
telephone or similar communications equipment allowing all persons participating
in the meeting to hear each other shall constitute presence at a meeting of the
Executive Committee. The members of the Executive Committee shall act only as a
committee and individual members shall have no power as such.

      SECTION 5. Other Committees. The Board may, by resolution adopted by a
majority of the Board, designate members of the Board to constitute other
committees, which shall have, and may exercise, such powers as the Board may by
resolution delegate to them, and shall in each case consist of such number of
directors as the Board may determine; provided, however, that each such
committee shall have at least three directors as members thereof. Such a
committee may either be constituted for a specified term or may be constituted
as a standing committee which does not require annual or periodic
reconstitution. A majority of all the members of any such committee may
determine its action and its quorum requirements and may fix the time and place
of its meetings, unless the Board shall otherwise provide. Participating in a
meeting by means of a conference telephone or similar communications equipment
allowing all persons participating in the meeting to hear each other shall
constitute presence at a meeting of such other committees.

      In addition to the foregoing, the Board may, by resolution adopted by a
majority of the Board, create a committee of indeterminate membership and
duration and not subject to the limitations as to the membership, quorum and
manner of meeting and acting prescribed in these By-laws, which committee, in
the event of a major disaster or catastrophe or national emergency which renders
the Board


                                       9
<PAGE>

incapable of action by reason of the death, physical incapacity or inability to
meet of some or all of its members, shall have, and may exercise all the powers
of the Board in the management of the business and affairs of the Corporation
(including, without limitation, the power to authorize the seal of the
Corporation to be affixed to all papers which may require it and the power to
fill vacancies in the Board). An act of such committee taken within the scope of
its authority shall be an act of the Board.

      SECTION 6. Changes in Committees; Resignations; Removals; Vacancies. The
Board shall have power, by resolution adopted by a majority of the Board, at any
time to change or remove the members of, to fill vacancies in, and to discharge
any committee created pursuant to these By-laws, either with or without cause.
Any member of any such committee may resign at any time by giving written notice
to the Board or the Chairman of the Board or the Secretary. Such resignation
shall take effect upon receipt of such notice or at any later time specified
therein; and, unless otherwise specified therein, acceptance of such resignation
shall not be necessary to make it effective. Any vacancy in any committee,
whether arising from death, resignation, an increase in the number of committee
members or any other cause, shall be filled by the Board in the manner
prescribed in these By-laws for the original appointment of the members of such
committee.

                                    ARTICLE V

                                    OFFICERS

      SECTION 1. Number and Qualifications. The officers of the Corporation
shall include the Chairman of the Board, and may include one or more Vice
Chairmen of the Board, the President, one or more Vice Presidents (one or more
of whom may be designated as Executive Vice Presidents or as Senior Vice
Presidents or by other designations), the Treasurer, the Secretary and the
Controller. Officers shall be elected from time to time by the Board, each to
hold office until a successor shall have been duly elected and shall have
qualified, or until death, or until resignation as hereinafter provided in
Section 2 of this Article V, or until removed as hereinafter provided in Section
3 of this Article V.

      SECTION 2. Resignations. Any officer of the Corporation may resign at any
time by giving written notice of resignation to the Board, the Chairman of the
Board, the Chief Executive Officer or the Secretary. Any such resignation shall
take effect at the time specified therein, or, if the time when it shall become
effective shall not be specified therein, then it shall become effective upon
its receipt; and, unless otherwise specified therein, the acceptance of such
resignation shall not be necessary to make it effective.


                                       10
<PAGE>

      SECTION 3. Removal. Any officer of the Corporation may be removed, either
with or without cause, at any time, by a resolution adopted by a majority of the
Board at any meeting of the Board.

      SECTION 4. Vacancies. A vacancy in any office, whether arising from death,
resignation, removal or any other cause, may be filled for the unexpired portion
of the term of office which shall be vacant, in the manner prescribed in these
By-laws for the regular election or appointment to such office.

      SECTION 5. Chairman of the Board. The Chairman of the Board shall, if
present, preside at each meeting of the stockholders and of the Board and shall
perform such other duties as may from time to time be assigned by the Board. The
Chairman may sign certificates representing shares of the stock of the
Corporation pursuant to the provisions of Section 1 of Article VII of these
By-laws; sign, execute and deliver in the name of the Corporation all deeds,
mortgages, bonds, contracts or other instruments authorized by the Board, except
in cases where the signing, execution or delivery thereof shall be expressly
delegated by the Board or these Bylaws to some other officer or agent of the
Corporation or where they shall be required by law otherwise to be signed,
executed and delivered; and affix the seal of the Corporation to any instrument
which shall require it. The Chairman of the Board, when there is no President or
in the absence or incapacity of the President, shall perform all the duties and
functions and exercise all the powers of the President.

      SECTION 6. Vice Chairman of the Board. Each Vice Chairman of the Board
shall assist the Chairman of the Board and have such other duties as may be
assigned by the Board or the Chairman of the Board. The Vice Chairman may sign
certificates representing shares of the stock of the Corporation pursuant to the
provisions of Section 1 of Article VII of these By-laws; sign, execute and
deliver in the name of the Corporation all deeds, mortgages, bonds, contracts or
other instruments authorized by the Board, except in cases where the signing,
execution or delivery thereof shall be expressly delegated by the Board or these
By-laws to some officer or agent of the Corporation or where they shall be
required by law otherwise to be signed, executed and delivered; and affix the
seal of the Corporation to any instrument which shall require it.

      SECTION 7. President. The President shall perform all such duties as from
time to time may be assigned by the Board or the Chairman of the Board. The
President may sign certificates representing shares of the stock of the
Corporation pursuant to the provisions of Section 1 of Article VII of these
By-laws; sign, execute and deliver in the name of the Corporation all deeds
mortgages, bonds, contracts or other instruments authorized by the Board, except
in cases where the signing, execution or delivery thereof shall be expressly
delegated by the Board or these By-laws to some other officer or agent of the
Corporation or where they shall be required by law otherwise to be signed,
executed and delivered, and affix the seal of the Corporation to any instrument
which shall require it; and, in general, perform all duties incident to the
office of President. The President shall in the absence or incapacity of the
Chairman of the Board, perform all the duties and functions and exercise all the
powers of the Chairman of the Board.


                                       11
<PAGE>

      SECTION 8. Designated Officers. (a) Chief Executive Officer. Either the
Chairman of the Board, or the President, as the Board of Directors may
designate, shall be the Chief Executive Officer of the Corporation. The officer
so designated shall have, in addition to the powers and duties applicable to the
office set forth in Section 5 or 7 of this Article V, general and active
supervision over the business and affairs of the Corporation and over its
several officers, agents, and employees, subject, however, to the control of the
Board. The Chief Executive Officer shall see that all orders and resolutions of
the Board are carried into effect, be an ex officio member of all committees of
the Board (except the Audit Committee, the Directors and Corporate Governance
Committee, and committees specifically empowered to fix or approve the Chief
Executive Officer's compensation or to grant or administer bonus, option or
other similar plans in which the Chief Executive Officer is eligible to
participate), and, in general, shall perform all duties incident to the position
of Chief Executive Officer and such other duties as may from time to time be
assigned by the Board. (b) Other Designated Officers. The Board of Directors may
designate officers to serve as Chief Financial Officer, Chief Accounting Officer
and other such designated positions and to fulfill the responsibilities of such
designated positions in addition to their duties as officers as set forth in
this Article V.

      SECTION 9. Executive Vice Presidents, Senior Vice Presidents and Vice
Presidents. Each Executive and Senior Vice President shall perform all such
duties as from time to time may be assigned by the Board or the Chairman of the
Board or a Vice Chairman of the Board or the President. Each Vice President
shall perform all such duties as from time to time may be assigned by the Board
or the Chairman of the Board or a Vice Chairman of the Board or the President or
an Executive or a Senior Vice President. Any Vice President may sign
certificates representing shares of stock of the Corporation pursuant to the
provisions of Section 1 of Article VII of these By-laws.

      SECTION 10. Treasurer. The Treasurer shall:

      (a) have charge and custody of, and be responsible for, all the funds and
securities of the Corporation, and may invest the same in any securities, may
open, maintain and close accounts for effecting any and all purchase, sale,
investment and lending transactions in securities of any and all kinds for and
on behalf of the Corporation or any employee pension or benefit plan fund or
other fund established by the Corporation, as may be permitted by law;

      (b) keep full and accurate accounts of receipts and disbursements in books
belonging to the Corporation;


                                       12
<PAGE>

      (c) deposit all moneys and other valuables to the credit of the
Corporation in such depositaries as may be designated by the Board or the
Executive Committee;

      (d) receive, and give receipts for, moneys due and payable to the
Corporation from any source whatsoever;

      (e) disburse the funds of the Corporation and supervise the investment of
its funds, taking proper vouchers therefor;

      (f) render to the Board, whenever the Board may require, an account of all
transactions as Treasurer; and

      (g) in general, perform all the duties incident to the office of Treasurer
and such other duties as from time to time may be assigned by the Board or the
Chairman of the Board or a Vice Chairman of the Board or the President or an
Executive or Senior Vice President.

      SECTION 11. Secretary. The Secretary shall:

      (a) keep or cause to be kept in one or more books provided for the
purpose, the minutes of all meetings of the Board, the Executive Committee and
other committees of the Board and the stockholders;

      (b) see that all notices are duly given in accordance with the provisions
of these By-laws and as required by law;

      (c) be custodian of the records and the seal of the Corporation and affix
and attest the seal to all stock certificates of the Corporation and affix and
attest the seal to all other documents to be executed on behalf of the
Corporation under its seal;

      (d) see that the books, reports, statements, certificates and other
documents and records required by law to be kept and filed are properly kept and
filed; and

      (e) in general, perform all the duties incident to the office of Secretary
and such other duties as from time to time may be assigned by the Board or the
Chairman of the Board or a Vice Chairman of the Board or the President or an
Executive or Senior Vice President.


                                       13
<PAGE>

      SECTION 12. Controller. The Controller shall:

      (a) have control of all the books of account of the Corporation;

      (b) keep a true and accurate record of all property owned by it, of its
debts and of its revenues and expenses;

      (c) keep all accounting records of the Corporation (other than the
accounts of receipts and disbursements and those relating to the deposits of
money and other valuables of the Corporation, which shall be kept by the
Treasurer);

      (d) render to the Board, whenever the Board may require, an account of the
financial condition of the Corporation; and

      (e) in general, perform all the duties incident to the office of
Controller and such other duties as from time to time may be assigned by the
Board or the Chairman of the Board or a Vice Chairman of the Board or the
President or an Executive or Senior Vice President.

      SECTION 13. Compensation. The compensation of the officers of the
Corporation shall be fixed from time to time by the Board; provided, however,
that the Board may delegate to a committee the power to fix or approve the
compensation of any officers. An officer of the Corporation shall not be
prevented from receiving compensation by reason of being also a director of the
Corporation; but any such officer who shall also be a director shall not have
any vote in the determination of the amount of compensation paid to such
officer.

                                   ARTICLE VI

                           CONTRACTS, CHECKS, DRAFTS,
                               BANK ACCOUNTS, ETC.

      SECTION 1. Execution of Contracts. Except as otherwise required by law or
these By-laws, any contract or other instrument may be executed and delivered in
the name and on behalf of the Corporation by any officer (including any
assistant officer) of the Corporation. The Board or the Executive Committee may
authorize any agent or employee to execute and deliver any contract or other
instrument in the name and on behalf of the Corporation, and such authority may
be general or confined to specific instances as the Board or such Committee, as
the case may be, may by resolution determine.

      SECTION 2. Loans. Unless the Board shall otherwise determine, the Chairman
of the Board or a Vice Chairman of the Board or the President or any Vice
President, acting together with the Treasurer or the Secretary, may effect loans
and advances at any time for the Corporation from any bank, trust company or
other


                                       14
<PAGE>

institution, or from any firm, corporation or individual, and for such loans and
advances may make, execute and deliver promissory notes, bonds or other
certificates or evidences of indebtedness of the Corporation, but in making such
loans or advances no officer or officers shall mortgage, pledge, hypothecate or
transfer any securities or other property of the Corporation, except when
authorized by resolution adopted by the Board.

      SECTION 3. Checks, Drafts, etc. All checks, drafts, bills of exchange or
other orders for the payment of money out of the funds of the Corporation, and
all notes or other evidences of indebtedness of the Corporation, shall be signed
in the name and on behalf of the Corporation by such persons and in such manner
as shall from time to time be authorized by the Board or the Executive Committee
or authorized by the Treasurer acting together with either the General Manager
of an operating unit or a nonfinancial Vice President of the Corporation, which
authorization may be general or confined to specific instances.

      SECTION 4. Deposits. All funds of the Corporation not otherwise employed
shall be deposited from time to time to the credit of the Corporation in such
banks, trust companies or other depositaries as the Board or the Executive
Committee may from time to time designate or as may be designated by any officer
or officers of the Corporation to whom such power of designation may from time
to time be delegated by the Board or the Executive Committee. For the purpose of
deposit and for the purpose of collection for the account of the Corporation,
checks, drafts and other orders for the payment of money which are payable to
the order of the Corporation may be endorsed, assigned and delivered by any
officer, employee or agent of the Corporation.

      SECTION 5. General and Special Bank Accounts. The Board or the Executive
Committee may from time to time authorize the opening and keeping of general and
special bank accounts with such banks, trust companies or other depositaries as
the Board or the Executive Committee may designate or as may be designated by
any officer or officers of the Corporation to whom such power of designation may
from time to time be delegated by the Board or the Executive Committee. The
Board or the Executive Committee may make such special rules and regulations
with respect to such bank accounts, not inconsistent with the provisions of
these By-laws, as it may deem expedient.

      SECTION 6. Indemnification. The Corporation shall, to the fullest extent
permitted by applicable law as in effect at any time, indemnify any person made,
or threatened to be made, a party to an action or proceeding whether civil or
criminal (including an action or proceeding by or in the right of the
Corporation or any other corporation of any type or kind, domestic or foreign,
or any partnership, joint venture, trust, employee benefit plan or other
enterprise, for which any director or officer of the Corporation served in any
capacity at the request of the Corporation), by reason of the fact that such
person or such person's testator or intestate was a director or officer of the
Corporation, or served such other corporation, partnership, joint


                                       15
<PAGE>

venture, trust, employee benefit plan or other enterprise in any capacity,
against judgments, fines, amounts paid in settlement and reasonable expenses,
including attorneys' fees actually and necessarily incurred as a result of such
action or proceeding, or any appeal therein. Such indemnification shall be a
contract right and shall include the right to be paid advances of any expenses
incurred by such person in connection with such action, suit or proceeding,
consistent with the provisions of applicable law in effect at any time.
Indemnification shall be deemed to be 'permitted' within the meaning of the
first sentence hereof if it is not expressly prohibited by applicable law as in
effect at the time.

                                   ARTICLE VII

                                     SHARES

      SECTION 1. Stock Certificates. The shares of the Corporation shall be
represented by certificates, or shall be uncertificated shares. Each owner of
stock of the Corporation shall be entitled to have a certificate, in such form
as shall be approved by the Board, certifying the number of shares of stock of
the Corporation owned. To the extent that shares are represented by
certificates, such certificates of stock shall be signed in the name of the
Corporation by the Chairman of the Board or a Vice Chairman of the Board or the
President or a Vice President and by the Secretary and sealed with the seal of
the Corporation (which seal may be a facsimile, engraved or printed); provided,
however, that where any such certificate is signed by a registrar, other than
the Corporation or its employee, the signatures of the Chairman of the Board, a
Vice Chairman of the Board, the President, the Secretary, and transfer agent or
a transfer clerk acting on behalf of the Corporation upon such certificates may
be facsimiles, engraved or printed. In case any officer, transfer agent or
transfer clerk acting on behalf of the Corporation ceases to be such officer,
transfer agent, or transfer clerk before such certificates shall be issued, they
may nevertheless be issued by the Corporation with the same effect as if they
were still such officer, transfer agent or transfer clerk at the date of their
issue.

      SECTION 2. Books of Account and Record of Stockholders. There shall be
kept at the office of the Corporation correct books of account of all its
business and transactions, minutes of the proceedings of stockholders, Board,
and Executive Committee, and a book to be known as the record of stockholders,
containing the names and addresses of all persons who are stockholders, the
number of shares of stock held, and the date when the stockholder became the
owner of record thereof.

      SECTION 3. Transfers of Stock. Transfers of shares of stock of the
Corporation shall be made on the record of stockholders of the Corporation only
upon authorization by the registered holder thereof, or by an attorney thereunto
authorized by power of attorney duly executed and filed with the Secretary or
with a transfer agent or transfer clerk, and on surrender of the certificate or
certificates for such shares properly endorsed, provided such shares are
represented by a certificate, or accompanied by a duly executed stock transfer
power and the payment of all taxes thereon. The person in whose names shares of
stock shall stand on the


                                       16
<PAGE>

record of stockholders of the Corporation shall be deemed the owner thereof for
all purposes as regards the Corporation. Whenever any transfers of shares shall
be made for collateral security and not absolutely and written notice thereof
shall be given to the Secretary or to such transfer agent or transfer clerk,
such fact shall be stated in the entry of the transfer.

      SECTION 4. Regulations. The Board may make such additional rules and
regulations as it may deem expedient, not inconsistent with these By-laws,
concerning the issue, transfer and registration of certificated or
uncertificated shares of stock of the Corporation. It may appoint, or authorize
any officer or officers to appoint, one or more transfer agents or one or more
transfer clerks and one or more registrars and may require all certificates of
stock to bear the signature or signatures of any of them.

      SECTION 5. Fixing of Record Date. The Board shall fix a time not exceeding
sixty nor less than ten days prior to the date then fixed for the holding of any
meeting of the stockholders or prior to the last day on which the consent or
dissent of the stockholders may be effectively expressed for any purpose without
a meeting, as the time as of which the stockholders entitled to notice of and to
vote at such meeting or whose consent or dissent is required or may be expressed
for any purpose, as the case may be, shall be determined, and all persons who
were holders of record of voting stock at such time, and no others, shall be
entitled to notice of and to vote at such meeting or to express their consent or
dissent, as the case may be. The Board may fix a time not exceeding sixty days
preceding the date fixed for the payment of any dividend or the making of any
distribution or the allotment of rights to subscribe for securities of the
Corporation, or for the delivery of evidences of rights or evidences of
interests arising out of any change, conversion or exchange of capital stock or
other securities, as the record date for the determination of the stockholders
entitled to receive any such dividend, distribution, allotment, rights or
interests, and in such case only the stockholders of record at the time so fixed
shall be entitled to receive such dividend, distribution, allotment, rights or
interests.

      SECTION 6. Lost, Destroyed or Mutilated Certificates. The holder of any
certificate representing shares of stock of the Corporation shall immediately
notify the Corporation of any loss, destruction or mutilation of such
certificate, and the Corporation may issue a new certificate of stock in the
place of any certificate theretofore issued by it which the owner thereof shall
allege to have been lost or destroyed or which shall have been mutilated, and
the Corporation may, in its discretion, require such owner or the owner's legal
representatives to give to the Corporation a bond in such sum, limited or
unlimited, and in such form and with such surety or sureties as the Board in its
absolute discretion shall determine, to indemnify the Corporation against any
claim that may be made against it on account of the alleged loss or destruction
of any such certificate, or the issuance of such new certificate. Anything to
the contrary notwithstanding, the Corporation, in its absolute discretion, may
refuse to issue any such new certificate, except pursuant to legal proceedings
under the laws of the State of New York.


                                       17
<PAGE>

      SECTION 7. Inspection of Records. The record of stockholders and minutes
of the proceedings of stockholders shall be available for inspection, within the
limits and subject to the conditions and restrictions prescribed by applicable
law.

      SECTION 8. Auditors. The Board shall employ an independent public or
certified public accountant or firm of such accountants who shall act as
auditors in making examinations of the consolidated financial statements of the
Corporation and its subsidiaries in accordance with generally accepted auditing
standards. The auditors shall certify that the annual financial statements are
prepared in accordance with generally accepted accounting principles, and shall
report on such financial statements to the stockholders and directors of the
Corporation. The Board's selection of auditors shall be presented for
ratification by the stockholders at the annual meeting. Directors and officers,
when acting in good faith, may rely upon financial statements of the Corporation
represented to them to be correct by the officer of the Corporation having
charge of its books of account, or stated in a written report by the auditors
fairly to reflect the financial condition of the Corporation.

                                  ARTICLE VIII

                                     OFFICES

      SECTION 1. Principal Office. The principal office of the Corporation shall
be at such place in the Town of North Castle, County of Westchester and State of
New York as the Board shall from time to time determine.

      SECTION 2. Other Offices. The Corporation may also have an office or
offices other than said principal office at such place or places as the Board
shall from time to time determine or the business of the Corporation may
require.

                                   ARTICLE IX

                                WAIVER OF NOTICE

      Whenever under the provisions of any law of the State of New York, the
Certificate of Incorporation or these By-laws or any resolution of the Board or
any committee thereof, the Corporation or the Board or any committee thereof is
authorized to take any action after notice to the stockholders, directors or
members of any such committee, or after the lapse of a prescribed period of
time, such action may be taken without notice and without the lapse of any
period of time, if, at any time before or after such action shall be completed,
such notice or lapse of time shall be waived by the person or persons entitled
to said notice or entitled to participate in


                                       18
<PAGE>

the action to be taken, or, in the case of a stockholder, by an attorney
thereunto authorized. Attendance at a meeting requiring notice by any person or,
in the case of a stockholder, by the stockholder's attorney, agent or proxy,
shall constitute a waiver of such notice on the part of the person so attending,
or by such stockholder, as the case may be.

                                    ARTICLE X

                                   FISCAL YEAR

      The fiscal year of the Corporation shall end on the thirty-first day of
December in each year.

                                   ARTICLE XI

                                      SEAL

      The Seal of the Corporation shall consist of two concentric circles with
the IBM logotype appearing in bold face type within the inner circle and the
words 'International Business Machines Corporation' appearing within the outer
circle.

                                   ARTICLE XII

                                   AMENDMENTS

      These By-laws may be amended or repealed or new By-laws may be adopted by
the stockholders at any annual or special meeting, if the notice thereof
mentions that amendment or repeal or the adoption of new By-laws is one of the
purposes of such meeting. These By-laws, subject to the laws of the State of New
York, may also be amended or repealed or new By-laws may be adopted by the
affirmative vote of a majority of the Board given at any meeting, if the notice
thereof mentions that amendment or repeal or the adoption of new By-laws is one
of the purposes of such meeting.


                                       19
<PAGE>

                             INTERNATIONAL BUSINESS
                              MACHINES CORPORATION

      I, the undersigned, Secretary of International Business Machines
Corporation, do hereby certify that the foregoing is a true and complete copy of
the By-laws of said Corporation, including all amendments thereto, and the same
is in force at the date hereof.

      IN WITNESS WHEREOF, I have hereunto subscribed my name and affixed the
seal of said Corporation, this   day       of 19  .


                                    --------------------------------------------
                                    Secretary


                                       20



                                                                      EXHIBIT 11

               COMPUTATION OF BASIC AND DILUTED EARNINGS PER SHARE
                                   (UNAUDITED)

                                                 For Quarter Ended
                                          ------------------------------
                                          June 30, 1998    June 30, 1997
                                         --------------  ---------------

Number of shares on which basic 
 earnings per share is calculated:

Average outstanding during period         939,611,738      986,850,636

Add - Incremental shares under stock
compensation plans                         24,735,525       23,510,861
                                        -------------   --------------

Number of shares on which diluted
earnings per share is based               964,347,263    1,010,361,497
                                        =============    =============

Net earnings applicable to common
shareholders (millions)                   $     1,447      $     1,441
                                          -----------      -----------

Net earnings on which diluted
earnings per share
is based (millions)                       $     1,447      $     1,441
                                          ===========      ===========

Basic earnings per share                      $  1.54          $  1.46

Diluted earnings per share                    $  1.50          $  1.43

Net earnings applicable to common shareholders excludes preferred stock
dividends of $5 million for the periods ended June 30, 1998 and 1997.


                                      -18-
<PAGE>

        COMPUTATION OF BASIC AND DILUTED EARNINGS PER SHARE - (CONTINUED)
                                   (UNAUDITED)

                                              For Six Months Ended
                                          ------------------------------
                                          June 30, 1998    June 30, 1997
                                         --------------   --------------
Number of shares on which basic 
 earnings per share is based:

Average outstanding during period          944,911,022      995,143,843

Add - Incremental shares under stock
compensation plans                          24,571,649       24,035,390
                                         -------------    -------------


Number of shares on which diluted
earnings per share is calculated           969,482,671    1,019,179,233
                                         =============    =============

Net earnings applicable to common
shareholders (millions)                    $     2,478      $     2,631
                                           -----------      -----------

Net earnings on which diluted
earnings per share
is based (millions)                        $     2,478      $     2,631
                                           ===========      ===========

Basic earnings per share                       $  2.62          $  2.64

Diluted earnings per share                     $  2.56          $  2.58

Stock options to purchase 46,879 shares in 1998 were outstanding, but were not
included in the computation of diluted earnings because the options' exercise
price was greater than the average market price of the common shares, and
therefore, the effect would be antidilutive. Net earnings applicable to common
shareholders excludes preferred stock dividends of $10 million for the periods
ended June 30, 1998 and 1997.


                                      -19-

                                                          EXHIBIT 12

             COMPUTATION OF RATIO OF EARNINGS TO FIXED CHARGES AND
        EARNINGS TO COMBINED FIXED CHARGES AND PREFERRED STOCK DIVIDENDS
                         FOR SIX MONTHS ENDED JUNE 30:
                                  (UNAUDITED)

(Dollars in millions)

                                                      1998          1997
                                                   --------      --------

Earnings before income taxes(1)                    $  3,598      $  4,036

Add:
  Fixed charges, excluding capitalized interest       1,027           945
                                                   --------      --------
Earnings as adjusted                               $  4,625      $  4,981
                                                   ========      ========
Fixed charges:
  Interest expense                                      789           757
  Capitalized interest                                   11            16
  Portion of rental expense representative of
    interest                                            238           188
                                                   --------      --------
Total fixed charges                                $  1,038      $    961
                                                   ========      ========
Preferred stock dividends(2)                             14            15
                                                   --------      --------
Combined fixed charges and preferred stock
  dividends                                        $  1,052      $    976
                                                   ========      ========
Ratio of earnings to fixed charges                     4.46          5.18
Ratio of earnings to combined fixed charges and
  preferred stock dividends                            4.40          5.10

(1)   Earnings before income taxes excludes the company's share in the income
      and losses of less-than-fifty percent-owned affiliates.

(2)   Included in the ratio computation are preferred stock dividends of $10
      million for the first six months of 1998 and 1997, or $14 million and $15
      million, respectively, representing the pre-tax earnings which would be
      required to cover such dividend requirements based on the company's
      effective tax rate for the six months ended June 30, 1998 and 1997.


                                      - 20-


<TABLE> <S> <C>


<ARTICLE>                     5
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM
IBM CORPORATION'S FINANCIAL STATEMENTS FOR THE SIX MONTHS ENDED
JUNE 30, 1998 AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO
SUCH FINANCIAL STATEMENTS.
</LEGEND>
<MULTIPLIER>              1,000,000
       
<S>                               <C>
<PERIOD-TYPE>                     6-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-END>                               JUN-30-1998
<CASH>                                                  5,084
<SECURITIES>                                              387
<RECEIVABLES>                                          15,816
<ALLOWANCES>                                                0
<INVENTORY>                                             5,621
<CURRENT-ASSETS>                                       37,011
<PP&E>                                                 42,436
<DEPRECIATION>                                         23,983
<TOTAL-ASSETS>                                         77,112
<CURRENT-LIABILITIES>                                  30,050
<BONDS>                                                     0
<COMMON>                                                9,107
                                       0
                                               252
<OTHER-SE>                                              9,218
<TOTAL-LIABILITY-AND-EQUITY>                           77,112
<SALES>                                                14,643
<TOTAL-REVENUES>                                       36,441
<CGS>                                                  10,343
<TOTAL-COSTS>                                          22,845
<OTHER-EXPENSES>                                        9,930
<LOSS-PROVISION>                                            0
<INTEREST-EXPENSE>                                        340
<INCOME-PRETAX>                                         3,606
<INCOME-TAX>                                            1,118
<INCOME-CONTINUING>                                     2,488
<DISCONTINUED>                                              0
<EXTRAORDINARY>                                             0
<CHANGES>                                                   0
<NET-INCOME>                                            2,488
<EPS-PRIMARY>                                            2.62
<EPS-DILUTED>                                            2.56
        


</TABLE>


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