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                       SECURITIES AND EXCHANGE COMMISSION

                              WASHINGTON, DC 20549


                                  ------------



                                    FORM 8-K


                           CURRENT REPORT ON FORM 8-K
                     PURSUANT TO SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934



                             Aspen Technology, Inc.
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             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)



      Delaware                         0-24786                    04-2739697
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(STATE OR OTHER JURISDICTION          (COMMISSION               (IRS EMPLOYER
       OF INCORPORATION)              FILE NUMBER)           IDENTIFICATION NO.)



Ten Canal Park, Cambridge, Massachusetts                               02141
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(ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)                              (ZIP CODE)



Registrant's telephone number, including area code        (617) 949-1000
                                                  ------------------------------



                                 Not Applicable
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          (FORMER NAME OR FORMER ADDRESS, IF CHANGED SINCE LAST REPORT)



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ITEM 5.     OTHER EVENTS.

      On March 12, 1998, Aspen Technology, Inc., a Massachusetts corporation
("Aspen Massachusetts"), changed its state of incorporation by merging with and
into Aspen Technology, Inc., a Delaware corporation and wholly owned subsidiary
of Aspen Massachusetts ("Aspen Delaware" or the "Company"). The reincorporation
was approved by the stockholders of Aspen Massachusetts at the 1997 Annual
Meeting of Stockholders held on December 23, 1997. The Certificate of
Incorporation and By-Laws of Aspen Delaware are included as exhibits to this
Current Report on Form 8-K.

      In connection with the reincorporation, the Board of Directors of Aspen
Delaware determined to adopt a stockholder rights plan equivalent to the
stockholder rights plan adopted by the Board of Directors of Aspen Massachusetts
on October 9, 1997. On March 12, 1998 the Board of Directors of the Company
declared a dividend of one right (each a "Right" and collectively the "Rights")
for each outstanding share of common stock, par value $.10 per share, of the
Company (the "Common Shares"). The Rights will be issued to the holders of
record of Common Shares outstanding on March 12, 1998, and with respect to
Common Shares issued thereafter until the Distribution Date (as defined below)
and, in certain circumstances, with respect to Common Shares issued after the
Distribution Date. Each Right, when it becomes exercisable as described below,
will entitle the registered holder to purchase from the Company one
one-hundredth (1/100th) of a share of Series A participating cumulative
preferred stock, par value $.10 per share, of the Company (the "Preferred
Shares") at a price of $175.00 (the "Purchase Price"). The description and terms
of the Rights are set forth in a rights agreement dated as of March 12, 1998
(the "Rights Agreement") between the Company and American Stock Transfer and
Trust Company, as rights agent (the "Rights Agent"). THE TERMS OF THE RIGHTS
AGREEMENT ARE SUBSTANTIALLY EQUIVALENT TO THE TERMS OF A RIGHTS AGREEMENT DATED
AS OF OCTOBER 9, 1997 BETWEEN ASPEN MASSACHUSETTS AND AMERICAN STOCK TRANSFER
AND TRUST COMPANY, AS RIGHTS AGENT.

      Until the earlier of (i) such time as the Company learns that a person or
group (including any affiliate or associate of such person or group) acquired,
or obtained the right to acquire, beneficial ownership of 15% or more of the
outstanding Common Shares (such person or group being called an "Acquiring
Person") or (ii) such date, if any, as may be designated by the Board of
Directors of the Company following the commencement of, or first public
disclosure of an intent to commence, a tender or exchange offer for outstanding
Common Shares which could result in the offeror becoming the beneficial owner of
15% or more of the outstanding Common Shares (the earlier of such dates being
called the "Distribution Date"), the Rights will be evidenced by the
certificates for Common Shares registered in the names of the holders thereof
(which certificates for Common Shares shall also be deemed to be Right
Certificates, as defined below) and not by separate Right Certificates.
Therefore, until the Distribution Date, the Rights will be transferred with and
only with the Common Shares.

      As soon as practicable following the Distribution Date, separate
certificates evidencing the Rights ("Right Certificates") will be mailed to
holders of record of the Common Shares as of the close of business on the
Distribution Date (and to each initial record holder of certain Common Shares
originally issued after the Distribution Date), and such separate Right
Certificates alone will thereafter evidence the Rights. The Rights are not
exercisable until the Distribution Date and will expire on March 12, 2008 (the
"Expiration Date"), unless earlier redeemed by the Company as described below.

      To preserve the actual or potential economic value of the Rights, the
number of Preferred Shares or other securities issuable upon exercise of a
Right, the Purchase Price and Redemption Price and the number of Rights
associated with each outstanding Common Share are all subject to adjustment by
the Board of Directors as provided in the Rights Agreement in the event of any
change in the Common Shares or Preferred Shares, whether by reason of stock
dividends, stock splits, recapitalizations, mergers, consolidations,
combinations or exchanges of securities, split-ups, split-offs, spin-offs,
liquidations, other similar changes 


                                      -2-
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in capitalization, any distribution or issuance of cash, assets, evidences of
indebtedness or subscription rights, options or warrants to holders of Common
Shares or Preferred Shares, as the case may be (other than distribution of the
Rights or regular quarterly cash dividends) or otherwise.

      The Preferred Shares are authorized to be issued in fractions which are an
integral multiple of one one-hundredth (1/100th) of a Preferred Share. The
Company may, but is not required to, issue fractions of shares upon the exercise
of Rights, and, in lieu of fractional shares, the Company may issue certificates
or utilize a depository arrangement as provided by the terms of the Preferred
Shares and, in the case of fractions other than one one-hundredth (1/100th) of a
Preferred Share or integral multiples thereof, may make a cash payment based on
the market price of such shares.

      Upon a person or a group becoming an Acquiring Person, the Rights will
entitle each holder of a Right to purchase, for the Purchase Price, that number
of one one-hundredths (1/100ths) of a Preferred Share equivalent to the number
of Common Shares which at the time of the transaction would have a market value
of twice the Purchase Price.

      In the event the Company is acquired in a merger or other business
combination or 50% or more of its assets or assets representing 50% or more of
its earning power are sold, leased, exchanged or otherwise transferred (in one
or more transactions) to a publicly traded corporation, each Right will entitle
its holder to purchase, for the Purchase Price, that number of common shares of
such corporation which at the time of the transaction would have a market value
of twice the Purchase Price. In the event the Company is acquired in a merger or
other business combination or 50% or more of its assets or assets representing
50% or more of the earning power of the Company are sold, leased, exchanged or
otherwise transferred (in one or more transactions) to an entity that is not a
publicly traded corporation, each Right will entitle its holder to purchase, for
the Purchase Price, at such holder's option, (i) that number of shares of such
entity (or, at such holder's option, of the surviving corporation in such
acquisition, which could be the Company) which at the time of the transaction
would have a book value of twice the Purchase Price or (ii) if such entity has
an affiliate which has publicly traded common shares, that number of common
shares of such affiliate which at the time of the transaction would have a
market value of twice the Purchase Price.

      Any Rights that are at any time beneficially owned by an Acquiring Person
(or any affiliate or associate of an Acquiring Person) shall be null and void
and nontransferable, and any holder of any such Right (including any purported
transferee or subsequent holder) shall not have any right to exercise or
transfer any such right.

      At any time after a person or a group becomes an Acquiring Person, the
Board of Directors of the Company may exchange all or part of the then
outstanding Rights (other than Rights that have become null and void and
nontransferable as described above) for consideration per Right consisting of
one-half of the securities that otherwise would have been issuable to the holder
of each Right upon exercise thereof. The Board of Directors of the Company may
also issue, in substitution for Preferred Shares, Common Shares having an
equivalent market value to the Preferred Shares if, at such time, the Company
has a sufficient number of Common Shares issued but not outstanding or
authorized but unissued.

      At any time prior to the earlier of (i) such time as a person becomes an
Acquiring Person and (ii) the Expiration Date, the Board of Directors of the
Company may redeem the Rights in whole, but not in part, at a price (in cash or
Common Shares or other securities of the Company deemed by the Board of
Directors to be at least equivalent in value) of $.01 per Right (the "Redemption
Price").


                                      -3-

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      Immediately upon the action of the Board of Directors of the Company
electing to redeem the Rights, the Company shall make an announcement thereof,
and, upon such election, the right to exercise the Rights will terminate and the
only right of the holders of Rights will be to receive the Redemption Price.

      Until a Right is exercised, the holder thereof, as such, will have no
rights therefrom as a stockholder of the Company, including, without limitation,
the right to vote or to receive dividends.

      At any time prior to the Distribution Date, the Company may, without the
approval of any holder of the Rights, supplement or amend any provision of the
Rights Agreement (including the date on which the Distribution Date shall occur,
the time during which the Rights may be redeemed or the terms of the Preferred
Shares), except that no supplement or amendment shall be made which reduces the
Redemption Price or provides for an earlier Expiration Date.

      The Rights have certain antitakeover effects. The Rights will cause
substantial dilution to a person or group that attempts to acquire the Company
without conditioning the offer on substantially all the Rights being acquired.
The Rights will not interfere with any merger or other business combination or
with a third party approved by the Board of Directors of the Company since the
Board of Directors of the Company may, at its option, at any time prior to any
person becoming an Acquiring Person, redeem all but not less than all of the
then outstanding Rights at the Redemption Price.

      The Rights Agreement specifying the terms of the Rights, the Certificate
of Designation of the Preferred Shares specifying the terms of the Preferred
Shares (Exhibit A to the Rights Agreement) and the form of Right Certificate
(Exhibit B to the Rights Agreement) are filed as exhibits to this Current Report
on Form 8-K. The foregoing description of the Rights does not purport to be
complete and is qualified in its entirety by reference to such exhibits, which
are incorporated herein by reference.

ITEM 7.     FINANCIAL STATEMENTS, PRO FORMA FINANCIAL INFORMATION AND EXHIBITS.

      (a)   Financial Statements of Business Acquired.

            Not applicable.

      (b)   Pro Forma Financial Information.

            Not applicable.

      (c)   Exhibits.

   EXHIBIT
   NUMBER        DESCRIPTION
   -------       -----------

     3.1         Certificate of Incorporation of Aspen Technology, Inc. 
                 (a Delaware corporation)
     3.2         By-Laws of Aspen Technology, Inc. (a Delaware corporation)
     4.1         Rights Agreement dated as of March 12, 1998 between Aspen 
                 Technology, Inc. and American Stock Transfer and Trust Company,
                 as Rights Agent
     4.2         Form of Certificate of Designation of Series A Participating 
                 Cumulative Preferred Stock of Aspen Technology, Inc. 
                 (included as Exhibit A to the Rights Agreement filed as
                 Exhibit 4.1)
     4.3         Form of Right Certificate (included as Exhibit B to the Rights 
                 Agreement filed as Exhibit 4.1)


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                                    SIGNATURE

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

                                               ASPEN TECHNOLOGY, INC.



Date:  March 26, 1998                          By:  /s/ STEPHEN J. DOYLE
                                                  ------------------------------
                                                  Stephen J. Doyle
                                                  Vice President, General 
                                                  Counsel, Chief Legal Officer 
                                                  and Secretary



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                                  EXHIBIT INDEX

PAGE NUMBER IN EXHIBIT SEQUENTIALLY NUMBER DESCRIPTION NUMBERED COPY ------- ----------- -------------- 3.1 Certificate of Incorporation of Aspen Technology, Inc. (a Delaware corporation) 3.2 By-Laws of Aspen Technology, Inc. (a Delaware corporation) 4.1 Rights Agreement dated as of March 12, 1998 between Aspen Technology, Inc. and American Stock Transfer and Trust Company, as Rights Agent 4.2 Form of Certificate of Designation of Series A Participating Cumulative Preferred Stock of Aspen Technology, Inc. (included as Exhibit A to the Rights Agreement filed as Exhibit 4.1) 4.3 Form of Right Certificate (included as Exhibit B to the Rights Agreement filed as Exhibit 4.1)
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                                                                    EXHIBIT 3.1




                          CERTIFICATE OF INCORPORATION
                                       OF
                             ASPEN TECHNOLOGY, INC.

      FIRST:  The name of this corporation (the "Corporation") is Aspen 
              Technology, Inc.

      SECOND: The address of the registered office of the Corporation in the
State of Delaware is 1209 Orange Street, Wilmington, Delaware 19801, County of
New Castle, and the name of its registered agent at such address is The
Corporation Trust Company.

      THIRD:  The purpose for which the Corporation is organized is to engage in
any lawful act or activity for which corporations may be organized under the
General Corporation Law of the State of Delaware.

      FOURTH: The Corporation is authorized to issue two classes of capital
stock, one of which is designated as common stock, $.10 par value per share
("Common Stock"), and the other of which is designated as preferred stock, $.10
par value per share ("Preferred Stock"). The total number of shares of both
classes of capital stock that the Corporation shall have authority to issue is
50,000,000 shares, consisting of 40,000,000 shares of Common Stock and
10,000,000 shares of Preferred Stock. The Preferred Stock may be issued from
time to time in one or more series as set forth in Section (b) of this Article
FOURTH. The following is a statement of the designations and the powers,
preferences and rights of, and the qualifications, limitations or restrictions
applicable to, each class of capital stock of the Corporation.

      (a)   COMMON STOCK

            (1) General. The voting, dividend and liquidation rights of holders
      of Common Stock are subject to and qualified by the rights of holders of
      Preferred Stock of any series as may be designated in any resolution or
      resolutions providing for the issue of such series as may be adopted by
      the board of directors as hereinafter provided.

            (2) Voting. Holders of Common Stock are entitled to one vote for
      each share held at all meetings of stockholders. The number of authorized
      shares of Common Stock may be increased or decreased (but not below the
      number of shares thereof then outstanding) by the affirmative vote of the
      holders of a majority of the capital stock of the Corporation entitled to
      vote, irrespective of the provisions of Section 242(b)(2) of the General
      Corporation Law of the State of Delaware.

            (3) Dividends. Dividends may be declared and paid on Common Stock
      from funds lawfully available therefor, as and when determined by the
      board of directors and subject to any preferential dividend rights of any
      series of Preferred Stock then outstanding.

            (4) Liquidation. Upon the dissolution or liquidation of the
      Corporation, whether voluntary or involuntary, holders of Common Stock
      will be entitled to receive all assets of the Corporation available for
      distribution to stockholders of the Corporation, subject to any
      preferential rights of any series of Preferred Stock then outstanding.

      (b)   PREFERRED STOCK

            (1) Issuance. Preferred Stock may be issued from time to time in
      one or more series, each of which series shall have such terms as are set
      forth herein and in any resolution or resolutions providing for the issue
      of such series as may be adopted by the board of directors as hereinafter
      provided. Any



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      shares of Preferred Stock that may be redeemed, purchased or acquired by
      the Corporation may be reissued except as otherwise expressly provided in
      this Certificate of Incorporation or provided by law.

            (2) Single Class. Different series of Preferred Stock shall not be
      construed to constitute different classes of capital stock for the
      purposes of voting by classes unless expressly provided.

            (3) Authority of Board. Authority is hereby expressly granted to the
      board of directors to provide for the issuance of Preferred Stock from
      time to time in one or more series, and in connection with the creation of
      any such series, to determine and fix such voting powers, full or limited,
      or no voting powers, and such designations, preferences and relative
      participating, optional or other special rights thereof, and
      qualifications, limitations or restrictions applicable thereto, as shall
      be stated and expressed in such resolutions, all to the full extent now or
      hereafter permitted by the General Corporation Law of the State of
      Delaware. Without limiting the generality of the foregoing, a resolution
      or resolutions providing for issuance of any series of Preferred Stock may
      provide for dividend rights, conversion rights, redemption privileges and
      liquidation preferences applicable to such series and may provide that
      such series shall rank superior, equal or junior to the Preferred Stock of
      any other series, in each case except as otherwise expressly provided in
      this Certificate of Incorporation or as provided by law. Except as
      otherwise provided in this Certificate of Incorporation, no vote of
      holders of Common Stock or holders of Preferred Stock shall be a
      prerequisite to the designation or issuance of any shares of any series of
      Preferred Stock authorized by and complying with the conditions of this
      Certificate of Incorporation.

      FIFTH: Stockholders of the Corporation may not take any action by written
consent in lieu of a meeting. Special meetings of stockholders may be called at
any time by the Chairman of the Board, the Chief Executive Officer (or if there
is no Chief Executive Officer, the President) or the board of directors.
Business transacted at any special meeting of stockholders shall be limited to
matters relating to the purpose or purposes stated in the notice of the general
meeting.

      SIXTH:  The following provisions shall apply with respect to the board of
directors of the Corporation:

      (a)   NUMBER OF DIRECTORS

            The number of directors shall be fixed from time to time by, or in
      the manner provided in, the by-laws of the Corporation, the Series A
      Certificate or any other certificate of designation with respect to a
      series of Preferred Stock, provided that in no event shall the number of
      directors be less than three.

      (b)   ELECTION OF DIRECTORS

            Elections of directors need not be by written ballot unless
      otherwise provided in the by-laws of the Corporation.

      (c)   CLASSES OF DIRECTORS

            The board of directors shall be divided into three classes,
      consisting of Class I, Class II and Class III. No class of directors shall
      have more than one director more than any other class. If a fraction is
      contained in the quotient arrived at by dividing the designated number of
      directors by three, then, if such fraction is one-third, the extra
      director shall be a member of Class I, and if such fraction is two-thirds,
      one of the extra directors shall be a member of Class I and one of the
      extra directors shall

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      be a member of Class II, except as otherwise may be provided from time to
      time by the board of directors.

      (d)   TERMS OF OFFICE

            Each director shall serve for a term ending on the date of the third
      annual meeting following the annual meeting at which such director was
      elected; provided that each initial director in Class I shall serve for a
      term ending on the date of the annual meeting of stockholders in 2000,
      each initial director in Class II shall serve for a term ending on the
      date of the annual meeting of stockholders in 1998 and each initial
      director in Class III shall serve for a term ending on the date of the
      annual meeting of stockholders in 1999 and provided further that the term
      of each director shall be subject to the election and qualification of a
      successor to such director and to the earlier death, resignation or
      removal of such director.

      (e)   ALLOCATION OF DIRECTORS AMONG CLASSES UPON CHANGES IN AUTHORIZED 
            NUMBER OF DIRECTORS

            In the event of any increase or decrease in the authorized number of
      directors, (1) each director then serving shall continue as a director of
      the class of which such director is a member and (2) the newly created or
      eliminated directorships resulting from such increase or decrease shall be
      apportioned by the board of directors among the three classes of directors
      so as to ensure that no one class has more than one director more than any
      other class. To the extent possible, consistent with the foregoing, any
      newly created directorships shall be added to those classes whose terms of
      office are to expire at the latest dates following such allocation and any
      newly eliminated directorships shall be subtracted from those classes
      whose terms of offices are to expire at the earliest dates following such
      allocation, except as otherwise may be provided from time to time by the
      board of directors.

      (f)   REMOVAL

            Directors may be removed only for cause by the affirmative vote of
      the holders of at least two-thirds of the shares of capital stock of the
      Corporation issued and outstanding and entitled to vote.

      SEVENTH: No director shall be personally liable to the Corporation or to
any of its stockholders for monetary damages arising out of such director's
breach of fiduciary duty as a director of the Corporation, except to the extent
that the elimination or limitation of such liability is not permitted by the
General Corporation Law of the State of Delaware, as the same exists or may
hereafter be amended. No amendment to or repeal of the provisions of this
Article SEVENTH shall deprive any director of the Corporation of the benefit of
the provisions of this Article SEVENTH with respect to any act or failure to act
of any director occurring prior to such amendment or repeal.

      EIGHTH: The following provisions shall apply with respect to the 
indemnification of, and advancement of expenses to, certain parties as set forth
below:

      (a)   INDEMNIFICATION

            (1) Proceedings Other than by or in the Right of the Corporation.
      The Corporation shall indemnify each person who was or is a party or is
      threatened to be made a party to any threatened, pending or completed
      action, suit or proceeding, whether civil, criminal, administrative or
      investigative (other than an action by or in the right of the
      Corporation), by reason of the fact that such person is or was, or has
      agreed to become, a director or officer of the Corporation, or is or was
      serving or has agreed

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      to serve, at the request of the Corporation, as a director, officer or
      trustee of, or in a similar capacity with, another corporation (including
      any partially or wholly owned subsidiary of the Corporation), partnership,
      joint venture, trust or other enterprise (including any employee benefit
      plan) (each of such persons being referred to as an "Indemnitee"), or by
      reason of any action alleged to have been taken or omitted in such
      capacity, against all expenses (including attorneys' fees), judgments,
      fines and amounts paid in settlement actually and reasonably incurred by
      the Indemnitee or on the Indemnitee's behalf in connection with such
      action, suit or proceeding and any appeal therefrom, if (A) the Indemnitee
      acted in good faith and in a manner the Indemnitee reasonably believed to
      be in, or not opposed to, the best interests of the Corporation and (B)
      with respect to any criminal action or proceeding, the Indemnitee had no
      reasonable cause to believe the Indemnitee's conduct was unlawful. The
      termination of any action, suit or proceeding by judgment, order,
      settlement, conviction or upon a plea of nolo contendere or its
      equivalent, shall not, of itself, create a presumption that the Indemnitee
      did not act in good faith, did not act in a manner that the Indemnitee
      reasonably believed to be in, or not opposed to, the best interests of the
      Corporation or, with respect to any criminal action or proceeding, did not
      have reasonable cause to believe that the Indemnitee's conduct was
      unlawful. Notwithstanding anything to the contrary in this Article EIGHTH,
      except as set forth in Section (c)(2) of this Article EIGHTH, the
      Corporation shall not indemnify an Indemnitee seeking indemnification in
      connection with a proceeding (or part thereof) initiated by the Indemnitee
      unless the initiation thereof was approved by the board of directors of
      the Corporation.

            (2) Proceedings by or in the Right of the Corporation. The
      Corporation shall indemnify any Indemnitee who was or is a party or is
      threatened to be made a party to any threatened, pending or completed
      action or suit by or in the right of the Corporation to procure a judgment
      in the Corporation's favor by reason of the fact that the Indemnitee is or
      was, or has agreed to become, a director or officer of the Corporation, or
      is or was serving as a director, officer or trustee of, or in a similar
      capacity with, another corporation (including any partially or wholly
      owned subsidiary of the Corporation), partnership, joint venture, trust or
      other enterprise (including any employee benefit plan), or by reason of
      any action alleged to have been taken or omitted in such capacity, against
      all expenses (including attorneys' fees) and amounts paid in settlement
      actually and reasonably incurred by the Indemnitee or on the Indemnitee's
      behalf in connection with such action, suit or proceeding and any appeal
      therefrom, if the Indemnitee acted in good faith and in a manner the
      Indemnitee reasonably believed to be in, or not opposed to, the best
      interests of the Corporation, except that no indemnification shall be made
      in respect of any claim, issue or matter as to which the Indemnitee shall
      have been adjudged to be liable to the Corporation unless and only to the
      extent that the Court of Chancery of Delaware shall determine upon
      application that, despite the adjudication of such liability but in view
      of all the circumstances of the case, the Indemnitee is fairly and
      reasonably entitled to indemnity for such expenses (including attorneys'
      fees) that the Court of Chancery of the State of Delaware shall deem
      proper.

            (3) Expenses of Successful Indemnitee. Notwithstanding any other
      provision of this Article EIGHTH, to the extent that an Indemnitee has
      been successful, on the merits or otherwise (including a disposition
      without prejudice), in defense of any action, suit or proceeding referred
      to in Section (a)(1) or (2) of this Article EIGHTH, or in defense of any
      claim, issue or matter therein, or on appeal from any such action, suit or
      proceeding, the Indemnitee shall be indemnified against all expenses
      (including attorneys' fees) actually and reasonably incurred by the
      Indemnitee or on the Indemnitee's behalf in connection therewith. Without
      limiting the foregoing, if any action, suit or proceeding is disposed of,
      on the merits or otherwise (including a disposition without prejudice),
      without (A) the disposition being adverse to the Indemnitee, (B) an
      adjudication that the Indemnitee was liable to the Corporation, (C) a plea
      of guilty or nolo contendere by the Indemnitee, (D) an adjudication that
      the Indemnitee did not act in good faith and in a manner the Indemnitee
      reasonably

                                       -4-

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      believed to be in, or not opposed to, the best interests of the
      Corporation, and (E) with respect to any criminal proceeding, an
      adjudication that the Indemnitee had reasonable cause to believe the
      Indemnitee's conduct was unlawful, the Indemnitee shall be considered for
      the purposes hereof to have been wholly successful with respect thereto.

            (4) Partial Indemnification. If any Indemnitee is entitled under any
      provision of this Section (a) to indemnification by the Corporation for a
      portion, but not all, of the expenses (including attorneys' fees),
      judgments, fines or amounts paid in settlement actually and reasonably
      incurred by the Indemnitee or on the Indemnitee's behalf in any appeal
      therefrom, the Corporation shall indemnify the Indemnitee for the portion
      of such expenses (including attorneys' fees), judgments, fines or amounts
      paid in settlement to which the Indemnitee is entitled.

      (b)   ADVANCEMENT OF EXPENSES

             Subject to Section (c)(2) of this Article EIGHTH, in the event that
      the Corporation does not assume a defense pursuant to Section (c)(1) of
      this Article EIGHTH of any action, suit, proceeding or investigation of
      which the Corporation receives notice under this Article EIGHTH, any
      expenses (including attorneys' fees) incurred by an Indemnitee in
      defending a civil or criminal action, suit, proceeding or investigation or
      any appeal therefrom shall be paid by the Corporation in advance of the
      final disposition of such matter; provided, however, that the payment of
      such expenses incurred by an Indemnitee in advance of the final deposition
      of such matter shall be made only upon receipt of an undertaking by or on
      behalf of the Indemnitee to repay all amounts so advanced in the event
      that it shall ultimately be determined that the Indemnitee is not entitled
      to be indemnified by the Corporation as authorized in this Article EIGHTH.
      Any such undertaking by an Indemnitee shall be accepted without reference
      to the financial ability of the Indemnitee to make such repayment.

      (c)   PROCEDURES

            (1) Notification and Defense of Claim. As a condition precedent to
      any Indemnitee's right to be indemnified, the Indemnitee must promptly
      notify the Corporation in writing of any action, suit, proceeding or
      investigation involving the Indemnitee for which indemnity will or may be
      sought. With respect to any action, suit, proceeding or investigation of
      which the Corporation is so notified, the Corporation will be entitled to
      participate therein at its own expense and/or to assume the defense
      thereof at its own expense, with legal counsel reasonably acceptable to
      the Indemnitee; provided that the Corporation shall not be entitled,
      without the consent of the Indemnitee, to assume the defense of any claim
      brought by or in the right of the Corporation or as to which counsel for
      the Indemnitee shall have reasonably concluded that there may be a
      conflict of interest or position on any significant issue between the
      Corporation and the Indemnitee in the conduct of the defense of such
      claim. After notice from the Corporation to the Indemnitee of its election
      so to assume such defense, the Corporation shall not be liable to the
      Indemnitee for any legal or other expenses subsequently incurred by the
      Indemnitee in connection with such claim, other than as provided in this
      Paragraph (1). The Indemnitee shall have the right to employ the
      Indemnitee's own counsel in connection with such claim, but the fees and
      expenses of such counsel incurred after notice from the Corporation of its
      assumption of the defense thereof shall be at the expense of the
      Indemnitee unless (A) the employment of counsel by the Indemnitee has been
      authorized by the Corporation, (B) counsel to the Indemnitee has
      reasonably concluded that there may be a conflict of interest or position
      on any significant issue between the Corporation and the Indemnitee in the
      conduct of the defense of such action or (C) the Corporation has not in
      fact employed counsel to assume the defense of such action, in each of
      which cases the fees and

                                       -5-

   6



      expenses of counsel for the Indemnitee shall be at the expense of the
      Corporation except as otherwise expressly provided by this Article EIGHTH.

            (2) Requests and Payment. In order to obtain indemnification or
      advancement of expenses pursuant to this Article EIGHTH, an Indemnitee
      shall submit to the Corporation a written request therefor, which request
      shall include documentation and information as is reasonably available to
      the Indemnitee and is reasonably necessary to determine whether and to
      what extent the Indemnitee is entitled to indemnification or advancement
      of expenses. Any such indemnification or advancement of expenses shall be
      made promptly, and in any event within sixty days after receipt by the
      Corporation of the written request of the Indemnitee, unless with respect
      to requests under Section (a)(1), (a)(2) or (b) of this Article EIGHTH,
      the Corporation determines, by clear and convincing evidence, within such
      sixty-day period, that any Indemnitee did not meet the applicable standard
      of conduct set forth in Section (a)(1) or (a)(2) of this Article EIGHTH.
      Such determination shall be made in each instance by (A) a majority vote
      of the directors of the Corporation consisting of persons who are not at
      that time parties to the action, suit or proceeding in question
      ("disinterested directors"), even though less than a quorum, (B) a
      majority vote of a quorum of the outstanding shares of capital stock of
      all classes entitled to vote for directors, which quorum shall consist of
      stockholders who are not at that time parties to the action, suit,
      proceeding or investigation in question, (C) independent legal counsel
      (who may be regular legal counsel to the Corporation), or (D) a court of
      competent jurisdiction.

            (3) Remedies. The right of an Indemnitee to indemnification or
      advancement of expenses pursuant to this Article EIGHTH shall be
      enforceable by the Indemnitee in any court of competent jurisdiction if
      the Corporation denies, in whole or in part, a request of an Indemnitee in
      accordance with the preceding Paragraph (2) or if no disposition thereof
      is made within the sixty-day period referred to in the preceding Paragraph
      (2). Unless otherwise provided by law, the burden of proving that an
      Indemnitee is not entitled to indemnification or advancement of expenses
      pursuant to this Article EIGHTH shall be on the Corporation. Neither the
      failure of the Corporation to have made a determination prior to the
      commencement of such action that indemnification is proper in the
      circumstances because the Indemnitee has met any applicable standard of
      conduct, nor an actual determination by the Corporation pursuant to the
      preceding Section (c)(2) that the Indemnitee has not met such applicable
      standard of conduct, shall be a defense to the action or create a
      presumption that the Indemnitee has not met the applicable standard of
      conduct. The Indemnitee's expenses (including attorneys' fees) incurred in
      connection with successfully establishing the Indemnitee's right to
      indemnification, in whole or in part, in any such proceeding shall also be
      indemnified by the Corporation.

      (d)   RIGHTS NOT EXCLUSIVE

            The right of an Indemnitee to indemnification and advancement of
      expenses pursuant to this Article EIGHTH shall not be deemed exclusive of
      any other rights to which the Indemnitee may be entitled under any law
      (common or statutory), agreement, vote of stockholders or disinterested
      directors, or otherwise, both as to action in the Indemnitee's official
      capacity and as to action in any other capacity while holding office for
      the Corporation, and shall continue as to an Indemnitee who has ceased to
      serve in the capacity with respect to which the Indemnitee's right to
      indemnification or advancement of expenses accrued, and shall inure to the
      benefit of the estate, heirs, executors and administrators of the
      Indemnitee. Nothing contained in this Article EIGHTH shall be deemed to
      prohibit, and the Corporation is specifically authorized to enter into,
      agreements with officers and directors providing indemnification rights
      and procedures supplemental to those set forth in this Article EIGHTH. The
      Corporation may, to the extent authorized from time to time by its board
      of

                                       -6-

   7

      directors, grant indemnification rights to other employees or agents of
      the Corporation or other persons serving the Corporation and such rights
      may be equivalent to, or greater or less than, those set forth in this
      Article EIGHTH. In addition, the Corporation may purchase and maintain
      insurance, at its expense, to protect itself and any director, officer,
      employee or agent of the Corporation or another corporation (including any
      partially or wholly owned subsidiary of the Corporation), partnership,
      joint venture, trust or other enterprise (including any employee benefit
      plan) against any expense, liability or loss incurred by such a person in
      any such capacity, or arising out of such person's status as such, whether
      or not the Corporation would have the power to indemnify such person
      against such expense, liability or loss under the General Corporation Law
      of the State of Delaware.

      (e)   SUBSEQUENT EVENTS

            (1) Amendments of Article or Law. No amendment, termination or
      repeal of this Article EIGHTH or of any relevant provisions of the General
      Corporation Law of the State of Delaware or any other applicable law shall
      affect or diminish in any way the rights of any Indemnitee to
      indemnification under the provisions of this Article EIGHTH with respect
      to any action, suit, proceeding or investigation arising out of or
      relating to any actions, transactions or facts occurring prior to the
      effective date of such amendment, termination or repeal. If the General
      Corporation Law of the State of Delaware is amended after adoption of this
      Article EIGHTH to expand further the indemnification permitted to any
      Indemnitee, then the Corporation shall indemnify the Indemnitee to the
      fullest extent permitted by the General Corporation Law of the State of
      Delaware, as so amended, without the need for any further action with
      respect to this Article EIGHTH.

            (2) Merger or Consolidation. If the Corporation is merged into or
      consolidated with another corporation and the Corporation is not the
      surviving corporation, the surviving corporation shall assume the
      obligations of the Corporation under this Article EIGHTH with respect to
      any action, suit, proceeding or investigation arising out of or relating
      to any actions, transactions or factors occurring prior to the date of
      such merger or consolidation.

      (f)   INVALIDATION

            If any or all of the provisions of this Article EIGHTH shall be
      invalidated on any ground by any court of competent jurisdiction, then the
      Corporation shall nevertheless indemnify each Indemnitee as to any
      expenses (including attorneys' fees), judgments, fines and amounts paid in
      settlement in connection with any action, suit, proceeding or
      investigation, whether civil, criminal or administrative, including an
      action by or in the right of the Corporation, to the fullest extent
      permitted by any applicable provision of this Article EIGHTH that shall
      not have been invalidated and to the fullest extent permitted by the
      General Corporation Law of the State of Delaware or any other applicable
      law.

      (g)   DEFINITIONS

            Unless defined elsewhere in this Certificate of Incorporation, any
      term used in this Article EIGHTH and defined in Section 145(h) or (i) of
      the General Corporation Law of the State of Delaware shall have the
      meaning ascribed to such term in such Section.

      NINTH: In furtherance of and not in limitation of powers conferred by 
statute, it is further provided that:


                                       -7-
   8



      (a)   AMENDMENT OF BY-LAWS

            Subject to the limitations and exceptions, if any, contained in the
      by-laws of the Corporation, the by-laws may be adopted, amended or
      repealed by the board of directors.

      (b)   LOCATION OF CORPORATE BOOKS

            Subject to any applicable requirements of the General Corporation
      Law of the State of Delaware, the books of the Corporation may be kept
      outside the State of Delaware at such location or locations as may be
      designated from time to time by the board of directors or in the by-laws
      of the Corporation.

      TENTH: Whenever a compromise or arrangement is proposed between the
Corporation and its creditors or any class of them or between the Corporation
and its stockholders or any class of them, any court of equitable jurisdiction
within the State of Delaware may, on the application in a summary way of the
Corporation or of any creditor or stockholder thereof or on the application of
any receiver or receivers appointed for the Corporation under Section 291 of
Title 8 of the Delaware Code or on the application of trustees in dissolution or
of any receiver or receivers appointed for the Corporation under Section 279 of
Title 8 of the Delaware Code, order a meeting of the creditors or class of
creditors, and/or of the stockholders or class of stockholders of the
Corporation, as the case may be, to be summoned in such manner as the said court
directs. If a majority in number representing three-fourths in value of the
creditors or class of creditors, and/or of the stockholders or class of
stockholders of the Corporation, as the case may be, agree to any compromise or
arrangement and to any reorganization of the Corporation as a consequence of
such compromise or arrangement, the said compromise or arrangement and the said
reorganization shall, if sanctioned by the court to which the said application
has been made, be binding on all the creditors or class of creditors, and/or on
all the stockholders or class of stockholders, of the Corporation, as the case
may be, and also on the Corporation.

      ELEVENTH: The Corporation reserves the right to amend, alter, change or
repeal any provision contained in this Certificate of Incorporation in the
manner now or hereafter prescribed by the General Corporation Law of the State
of Delaware and this Certificate of Incorporation, and all rights conferred upon
stockholders herein are granted subject to this reservation. Notwithstanding any
provision of law, any other provision of this Certificate of Incorporation or
any provision of the by-laws of the Corporation, the affirmative vote of the
holders of at least seventy-five percent of the shares of capital stock of the
Corporation issued and outstanding and entitled to vote shall be required to
amend or repeal, or to adopt any provision inconsistent with, any provision of
Article FIFTH, Article SIXTH or this Article ELEVENTH.

      TWELFTH: The name of the sole incorporator of the Corporation is Stephen 
J. Doyle and his mailing address is Aspen Technology, Inc., Ten Canal Park, 
Cambridge, Massachusetts 02141.

      IN WITNESS WHEREOF, I have hereunto set my hand as of March 10, 1998.


                                            /s/ STEPHEN J. DOYLE
                                           -------------------------------------
                                            Stephen  J. Doyle
                                            Sole Incorporator


                                       -8-

   1


                                                                     EXHIBIT 3.2


                             ASPEN TECHNOLOGY, INC.




                                     BY-LAWS





















                                                    Adopted as of March 10, 1998


   2



                                TABLE OF CONTENTS

                                                                            PAGE
SECTION 1.  CERTIFICATE OF INCORPORATION AND BY-LAWS.........................1
      1.1.   Conflicts.......................................................1
      1.2.   References......................................................1

SECTION 2.  OFFICES..........................................................1
      2.1.   Registered Office.  ............................................1
      2.2.   Other Offices...................................................1

SECTION 3.  STOCKHOLDERS.....................................................1
      3.1.   Location of Meetings............................................1
      3.2.   Annual Meeting..................................................1
      3.3.   Special Meeting in Place of Annual Meeting......................1
      3.4.   Notice of Annual Meeting........................................1
      3.5.   Other Special Meetings..........................................2
      3.6.   Notice of Special Meeting.......................................2
      3.7.   Stockholder List................................................2
      3.8.   Quorum of Stockholders..........................................2
      3.9.   Adjournment.....................................................2
      3.10.  Proxy Representation............................................3
      3.11.  Inspectors......................................................3
      3.12.  Action by Vote..................................................3
      3.13.  Nomination of Directors.........................................3
      3.14.  Notice of Business at Annual Meetings...........................4
      3.15.  Organization....................................................4
      3.16.  Action Without Meetings.........................................5

SECTION 4.  DIRECTORS........................................................5
      4.1.   Powers..........................................................5
      4.2.   Number..........................................................5
      4.3.   Vacancies.......................................................5
      4.4.   Classes of Directors............................................5
      4.5.   Terms of Office.................................................5
      4.6.   Committees......................................................6
      4.7.   Regular Meetings................................................6
      4.8.   Special Meetings................................................6
      4.9.   Notice..........................................................6
      4.10.  Quorum..........................................................6
      4.11.  Action by Vote..................................................7
      4.12.  Action Without a Meeting........................................7
      4.13.  Participation in Meetings by Conference Telephone...............7
      4.14.  Compensation....................................................7
      4.15.  Removal or Resignation of Directors.............................7

SECTION 5.  NOTICES..........................................................7
      5.1.   Form of Notice..................................................7
      5.2.   Waiver of Notice................................................8

                                       -i-

   3



SECTION 6.  OFFICERS AND AGENTS...............................................8
      6.1.   Enumeration; Qualification.......................................8
      6.2.   Election.........................................................8
      6.3.   Tenure...........................................................8
      6.4.   Powers...........................................................8
      6.5.   President........................................................8
      6.6.   Vice President...................................................9
      6.7.   Secretary and Assistant Secretaries..............................9
      6.8.   Treasurer and Assistant Treasurers...............................9
      6.9.   Resignation and Removal.........................................10
      6.10.  Vacancies.......................................................10

SECTION 7.  CAPITAL STOCK....................................................10
      7.1.   Stock Certificates..............................................10
      7.2.   Stock Issuances.................................................10
      7.3.   Stock Transfers.................................................10
      7.4.   Lost, Stolen or Destroyed Certificates..........................11
      7.5.   Record Date.....................................................11

SECTION 8.  GENERAL PROVISIONS...............................................11
      8.1.   Fiscal Year.....................................................11
      8.2.   Seal............................................................11
      8.3.   Dividends.......................................................12
      8.4.   Checks..........................................................12
      8.5.   Voting of Securities............................................12
      8.6.   Evidence of Authority...........................................12
      8.7.   Interested Parties..............................................12
      8.8.   Construction; Definitions.......................................13
      8.9.   Provisions Additional to Provisions of Law......................13
      8.10.   Provisions Contrary to Provisions of Law.......................13

SECTION 9.   AMENDMENT OF BY-LAWS............................................13
      9.1.   By Board of Directors...........................................13
      9.2.   By Stockholders.................................................13


                                      -ii-

   4



SECTION 1  CERTIFICATE OF INCORPORATION AND BY-LAWS.

      1.1 CONFLICTS. In the event of any conflict between the provisions of
these by-laws and the provisions of the certificate of incorporation of Aspen
Technology, Inc. (the "Corporation"), the provisions of the certificate of
incorporation shall govern.

      1.2 REFERENCES. In these by-laws, references to the certificate of
incorporation and by-laws mean the provisions of the certificate of
incorporation of the Corporation and these by-laws, respectively, as are from
time to time in effect.


SECTION 2  OFFICES.

      2.1 REGISTERED OFFICE. The registered office of the Corporation shall be
as fixed in the certificate of incorporation of the Corporation.

      2.2 OTHER OFFICES. The Corporation may also have offices at such other
places within or without the State of Delaware as the board of directors may
from time to time determine or the business of the Corporation may require.


SECTION 3  STOCKHOLDERS.

      3.1 LOCATION OF MEETINGS. All meetings of stockholders shall be held at
such places within or without the State of Delaware as shall be designated from
time to time by the board of directors or the Chief Executive Officer (or if
there is no Chief Executive Officer, the President) or, if not so designated, at
the principal office of the Corporation. Any adjourned session of any meeting
shall be held at the place designated in the vote of adjournment.

      3.2 ANNUAL MEETING. The annual meeting of stockholders shall be held at 10
A.M. on the Tuesday preceding Thanksgiving in November in each year (unless that
day shall be a legal holiday at the location where the meeting is to be held, in
which case the meeting shall be held at 10 A.M. on the next succeeding day that
is not a legal holiday) or at such other time and date as shall be designated
from time to time by the board of directors or the President, at which the
stockholders shall elect a board of directors and transact such other business
as may be required by law or these by-laws or as may otherwise properly come
before the meeting.

      3.3 SPECIAL MEETING IN PLACE OF ANNUAL MEETING. If the election of
directors shall not be held on the day designated by these by-laws, the board of
directors shall cause the election to be held as soon thereafter as convenient.
To that end, if the annual meeting is not held on the day provided in Subsection
3.2 or if the election of directors is not held at the annual meeting, a special
meeting of the stockholders may be held in place of such omitted meeting or
election and any business transacted or election held at such special meeting
shall have the same effect as if transacted or held at the annual meeting. In
such case all references in these by-laws to the annual meeting of the
stockholders, or to the annual election of directors, shall be deemed to refer
to or include such special meeting. Any such special meeting shall be called,
and the purposes thereof shall be specified in the call, as provided in
Subsection 3.4.

      3.4 NOTICE OF ANNUAL MEETING. Written notice of the annual meeting stating
the place, date and hour of the meeting shall be given to each stockholder
entitled to vote at such meeting not less than ten nor more than sixty days
before the date of the meeting. Such notice may specify the business to be
transacted and

                                        1

   5



actions to be taken at such meeting. No action shall be taken at such meeting
unless such notice is given, or unless waiver of such notice is given by the
holders of outstanding capital stock having not less than the minimum number of
votes necessary to take such action at a meeting at which all shares entitled to
vote thereon were voted. Prompt notice of all actions taken in connection with
such waiver of notice shall be given to all stockholders not present or
represented at such meeting. If mailed, notice shall be deemed to have been
given when the notice is deposited in the United States mail, postage prepaid,
directed to the stockholder at the stockholder's address as it appears on the
records of the Corporation. An affidavit of the mailing or other means of giving
any notice of any stockholders' meeting, executed by the Secretary, any
Assistant Secretary or any transfer agent of the Corporation giving the notice,
shall be prima facie evidence of the giving of such notice.

      3.5 OTHER SPECIAL MEETINGS. Special meetings of the stockholders may be
called for any purpose or purposes by the Chairman of the Board, the Chief
Executive Officer (or if there is no Chief Executive Officer, the President) or
the board of directors. Business transacted at any special meeting of
stockholders shall be limited to matters relating to the purpose or purposes
stated in the notice of meeting.

      3.6 NOTICE OF SPECIAL MEETING. Unless otherwise prescribed by law, written
notice of each special meeting stating the place, date and hour of the meeting
and the purpose or purposes for which the meeting is called shall be given not
less than ten nor more than sixty days before the date of the meeting to each
stockholder entitled to vote at such meeting. If mailed, notice shall be deemed
to have been given when the notice is deposited in the United States mail,
postage prepaid, directed to the stockholder at the stockholder's address as it
appears on the records of the Corporation. An affidavit of the mailing or other
means of giving any notice of any stockholders' meeting, executed by the
Secretary, any Assistant Secretary or any transfer agent of the Corporation
giving the notice, shall be prima facie evidence of the giving of such notice.

      3.7 STOCKHOLDER LIST. The officer who has charge of the stock record books
of the Corporation shall prepare and make, at least ten days before every
meeting of stockholders, a complete list of the stockholders entitled to vote at
the meeting, arranged in alphabetical order, and showing the address of each
stockholder and the number of shares registered in the name of each stockholder.
Such list shall be open to the examination of any stockholder, for any purpose
germane to the meeting, during ordinary business hours, for a period of at least
ten days prior to the meeting, either at a place within the city where the
meeting is to be held, which place shall be specified in the notice of the
meeting, or, if not so specified, at the place where the meeting is to be held.
The list shall also be produced and kept at the time and place of the meeting
during the whole time thereof, and may be inspected by any stockholder who is
present.

      3.8 QUORUM OF STOCKHOLDERS. The holders of a majority of the shares of
capital stock of the Corporation issued and outstanding and entitled to vote
thereat, present in person or represented by proxy, shall constitute a quorum at
all meetings of the stockholders for the transaction of business except as
otherwise required by law, the certificate of incorporation or these by-laws.
Except as otherwise provided by law, no stockholder present at a meeting may
withhold shares owned by such stockholder from the quorum count by declaring
those shares to be absent from the meeting.

      3.9 ADJOURNMENT. Any meeting of stockholders may be adjourned from time to
time to any other time and place at which a meeting of stockholders may be held
under these by-laws, which time and place shall be announced at the meeting, by
a majority of votes cast upon the question, whether or not a quorum is present,
or, if no stockholder is present, by any officer entitled to preside at or to
act as secretary of such meeting. If a quorum shall be present or represented at
any adjourned meeting, any business may be transacted that might have been
transacted at the original meeting. If the adjournment is for less than thirty
days and the time and place of the adjourned meeting are announced at the
meeting at which adjournment is taken, it shall not be necessary to notify any
stockholder of the adjournment unless after the adjournment

                                        2

   6



a new record date is fixed for the adjourned meeting. If the adjournment is for
more than thirty days, the time and place of the adjourned meeting are not
announced at the meeting at which adjournment is taken, or a new record date is
fixed for the adjourned meeting after the adjournment, a notice of the adjourned
meeting shall be given to each stockholder of record entitled to vote at the
meeting.

      3.10 PROXY REPRESENTATION. Any stockholder may authorize another person or
persons to act for such stockholder by proxy in all matters in which the
stockholder is entitled to participate, whether by waiving notice of any
meeting, objecting to or voting or participating at a meeting, or expressing
consent or dissent without a meeting. Every proxy must be signed by the
stockholder or the stockholder's attorney-in-fact. No proxy shall be voted or
acted upon after three years from its date unless such proxy provides for a
longer period. Except as provided by law, a revocable proxy shall be deemed
revoked if the stockholder is present at the meeting for which the proxy was
given. A duly executed proxy shall be irrevocable if it states that it is
irrevocable and, if, and only as long as, it is coupled with an interest
sufficient in law to support an irrevocable power. A proxy may be made
irrevocable regardless of whether the interest with which it is coupled is an
interest in the stock itself or an interest in the Corporation generally. The
authorization of a proxy may but need not be limited to specified action,
provided, however, that if a proxy limits its authorization to a meeting or
meetings of stockholders, unless otherwise specifically provided such proxy
shall entitle the holder thereof to vote at any adjourned session but shall not
be valid after the final adjournment thereof.

      3.11 INSPECTORS. The directors or the person presiding at the meeting may,
but need not, appoint one or more inspectors of election and any substitute
inspectors to act at the meeting or any adjournment thereof. Before entering
upon the discharge of the duties of inspector, each inspector shall take and
sign an oath to execute faithfully the duties of inspector at such meeting with
strict impartiality and according to the best of the inspector's ability. The
inspectors, if any, shall (a) determine the number of shares of capital stock
outstanding and the voting power of each, the shares of capital stock
represented at the meeting, the existence of a quorum and the validity and
effect of proxies, and (b) receive votes, ballots or consents, hear and
determine all challenges and questions arising in connection with the right to
vote, count and tabulate all votes, ballots or consents, determine the result,
and do such acts as are proper to conduct the election or vote with fairness to
all stockholders. On request of the person presiding at the meeting, the
inspectors shall make a report in writing of any challenge, question or matter
determined by them and execute a certificate of any fact found by them.

      3.12 ACTION BY VOTE. When a quorum is present at any meeting, whether an
original or adjourned session, a plurality of the votes properly cast for
election to any office shall elect to such office and a majority of the votes
(or if there are two or more classes of capital stock entitled to vote as
separate classes, then in the case of each such class, the holders of a majority
of the capital stock of that class) properly cast upon any question other than
an election to an office shall decide such question, except when a larger vote
is required by law, the certificate of incorporation or these by-laws. No ballot
shall be required for any election unless requested by a stockholder present or
represented at the meeting and entitled to vote in the election.

      3.13 NOMINATION OF DIRECTORS. Only persons who are nominated in accordance
with the following procedures shall be eligible for election as directors.
Nomination for election to the board of directors at a meeting of stockholders
may be made by the board of directors or by any stockholder of the Corporation
entitled to vote for the election of directors at such meeting who complies with
the notice procedures set forth in this Subsection 3.13. Such nominations, other
than those made by or on behalf of the board of directors, shall be made by
notice in writing delivered or mailed by first class United State mail, postage
prepaid, to the Secretary, and received not less than sixty days nor more than
ninety days prior to such meeting; provided, however, that if less than seventy
days' notice or prior public disclosure of the date of

                                        3

   7



the meeting is given to stockholders, such nomination shall have been mailed or
delivered to the Secretary not later than the close of business on the tenth day
following the date on which the notice of the meeting was mailed or such public
disclosure was made, whichever occurs first. Such notice shall set forth: (a) as
to each proposed nominee, (i) the name, age, business address and, if known,
residence address of each such nominee, (ii) the principal occupation or
employment of each such nominee, (iii) the number of shares of capital stock of
the Corporation beneficially owned by each such nominee, and (iv) any other
information concerning the nominee that must be disclosed as to nominees in
proxy solicitations pursuant to Regulation 14A under the Securities Exchange Act
of 1934, as amended (including such person's written consent to be named as a
nominee and to serve as a director if elected); and (b) as to the stockholder
giving the notice, (i) the name and address, as they appear on the Corporation's
books, of such stockholder and (ii) the number of shares of each class and
series of capital stock of the Corporation beneficially owned by such
stockholder. The Corporation may require any proposed nominee to furnish such
other information as may reasonably be required by the Corporation to determine
the eligibility of such proposed nominee to serve as a director. The chairman of
the meeting may, if the facts warrant, determine and declare at the meeting that
a nomination was not made in accordance with the foregoing procedure, and if the
chairman should so determine, the chairman shall so declare at the meeting and
the defective nomination shall be disregarded.

      3.14 NOTICE OF BUSINESS AT ANNUAL MEETINGS. At an annual meeting of the
stockholders, only such business shall be conducted as shall have been properly
brought before the meeting. To be properly brought before an annual meeting,
business must be (a) specified in the notice of meeting (or any supplement
thereto) given by or at the direction of the board of directors, (b) otherwise
properly brought before the meeting by or at the direction of the board of
directors, or (c) otherwise properly brought before an annual meeting by a
stockholder. For business to be properly brought before an annual meeting by a
stockholder, if such business relates to the election of directors of the
Corporation, the procedures in Subsection 3.13 must be complied with, and if
such business relates to any other matter, the stockholder must have given
timely notice thereof in writing to the Secretary. To be timely, a stockholder's
notice must be delivered to or mailed and received at the principal executive
offices of the Corporation not less than sixty days nor more than ninety days
prior to the meeting; provided, however, that in the event that less than
seventy days' notice or prior public disclosure of the date of the meeting is
given or made to stockholders, notice by the stockholder to be timely must be so
received not later than the close of business on the tenth day following the
date on which such notice of the date of the meeting was mailed or such public
disclosure was made, whichever occurs first. A stockholder's notice to the
Secretary shall set forth as to each matter the stockholder proposes to bring
before the annual meeting (a) a brief description of the business desired to be
brought before the annual meeting and the reasons for conducting such business
at the annual meeting, (b) the name and address, as they appear on the
Corporation's books, of the stockholder proposing such business, (c) the number
of shares of each class and series of capital stock of the Corporation
beneficially owned by the stockholder and (d) any material interest of the
stockholder in such business. Notwithstanding anything in these by-laws to the
contrary, no business shall be conducted at any annual meeting except in
accordance with the procedures set forth in this Subsection 3.14 and except that
any stockholder proposal that complied with Rule 14a-8 (or any successor
provision) under the Securities Exchange Act of 1934, as amended, and is to be
included in the Corporation's proxy statement for an annual meeting of
stockholders shall be deemed to comply with the requirements of this Subsection
3.14. The chairman of the meeting shall, if the facts warrant, determine and
declare at the meeting that business was not properly brought before the meeting
in accordance with the provisions of this Subsection 3.14, and if the chairman
should so determine, the chairman shall so declare at the meeting that any such
business not properly brought before the meeting shall not be transacted.

      3.15 ORGANIZATION. The Chairman of the Board or, in the absence thereof,
the Chief Executive Officer (or if there is no Chief Executive Officer, the
President) shall call meetings of stockholders to order and shall

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act as chairman of such meeting, provided, however, that the board of directors
may appoint any stockholder to act as chairman of any meeting in the absence of
the Chairman of the Board. The Secretary shall act as secretary at all meetings
of the stockholders, but in the absence of the Secretary at any meeting of the
stockholders, the chairman may appoint any person to act as secretary of the
meeting.

      3.16 ACTION WITHOUT MEETINGS. Stockholders may not take any action by
written consent in lieu of a meeting.


SECTION 4  DIRECTORS.

      4.1 POWERS. The business of the Corporation shall be managed by or under
the direction of the board of directors, which shall have and may exercise all
the 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.

      4.2 NUMBER. The number of directors that shall constitute the board of
directors shall be determined by resolution of the board of directors, but in no
event shall be less than three. The number of directors may be decreased at any
time and from time to time by vote of a majority of the directors then in
office, but only to eliminate vacancies existing by reason of the death,
resignation, removal or expiration of the term of one or more directors. The
directors shall be elected at the annual meeting of the stockholders, except as
provided in Subsection 4.3 of these by-laws. Directors need not be stockholders.

      4.3 VACANCIES. Newly created directorships resulting from any increase in
the number of directors and other vacancies may be filled by vote of a majority
of the directors then in office, although less than a quorum, or by a sole
remaining director. When one or more directors shall resign from the board of
directors, effective at a future date, a majority of the directors then in
office, including those who have resigned, shall have power to fill such vacancy
or vacancies, the vote or action by writing thereon to take effect when such
resignation or resignations shall become effective. The directors shall have and
may exercise all their powers notwithstanding the existence of one or more
vacancies in their number, subject to any requirements of law or of the
certificate of incorporation or of these by-laws as to the number of directors
required for a quorum or for any vote or other actions. A director elected to
fill a vacancy shall be elected for the unexpired term of such director's
predecessor in office, and a director chosen to fill a position resulting from
an increase in the number of directors shall hold office until the next election
of the class for which such director shall have been chosen, subject to the
election and qualification of any such director's successor and to any such
director's earlier death, resignation or removal.

      4.4 CLASSES OF DIRECTORS. The board of directors shall be divided into
three classes, consisting of Class I, Class II and Class III. No class of
directors shall have more than one director more than any other class. If a
fraction is contained in the quotient arrived at by dividing the designated
number of directors by three, then, if such fraction is one-third, the extra
director shall be a member of Class I, and if such fraction is two-thirds, one
of the extra directors shall be a member of Class I and one of the extra
directors shall be a member of Class II, except as otherwise may be provided
from time to time by the board of directors.

      4.5 TERMS OF OFFICE. Each director shall serve for a term ending on the
date of the third annual meeting following the annual meeting at which such
director was elected; provided that each initial director in Class I shall serve
for a term ending on the date of the annual meeting of stockholders in 2000,
each initial director in Class II shall serve for a term ending on the date of
the annual meeting of stockholders in 1998 and each initial director in Class
III shall serve for a term ending on the date of the annual meeting of

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stockholders in 1999 and provided further that the term of each director shall
be subject to the election and qualification of a successor to such director and
to the earlier death, resignation or removal of such director.

      4.6 COMMITTEES. The board of directors may, by vote of a majority of the
whole board: (a) designate, change the membership of or terminate the existence
of any committee or committees, each committee to consist of one or more of the
directors; (b) designate one or more directors as alternate members of any such
committee who may replace any absent or disqualified member at any meeting of
the committee; and (c) determine the extent to which each such committee shall
have and may exercise the powers and authority of the board of directors 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 that
require it and the power and authority to declare dividends or to authorize the
issuance of capital stock; excepting, however, such powers that by law, the
certificate of incorporation or these by-laws the board is prohibited from so
delegating. In the absence or disqualification of any member of a committee and
such member's alternate, if any, the member or members thereof present at any
meeting and not disqualified from voting, whether or not constituting a quorum,
may unanimously appoint another member of the board of directors to act at the
meeting in the place of any such absent or disqualified member. Except as the
board of directors may otherwise determine, any committee may make rules for the
conduct of its business, but unless otherwise provided by the board or such
rules, its business shall be conducted as nearly as may be in the same manner as
is provided by these by-laws for the conduct of business by the board of
directors. Each committee shall keep regular minutes of its meetings and report
the same to the board of directors upon request.

      4.7 REGULAR MEETINGS. Regular meetings of the board of directors may be
held without call or notice at such times and at such places, within or without
the State of Delaware, as the board of directors may from time to time
determine, provided that any director who was absent when such determination was
made shall be given notice of the determination. A regular meeting of the
directors may be held without call or notice immediately after and at the same
place as an annual meeting of the stockholders.

      4.8 SPECIAL MEETINGS. Special meetings of the board of directors may be
held at such times and at such places, within or without the State of Delaware,
designated in a notice of the meeting, when called by the Chairman of the Board
or the Chief Executive Officer (or if there is no Chief Executive Officer, the
President) or by two or more directors, reasonable notice thereof being given to
each director by the Secretary, the officer or any of the directors calling the
meeting.

      4.9 NOTICE. It shall be reasonable and sufficient notice to a director:
(a) to send notice by mail at least forty-eight hours, or by telegram, telex,
facsimile or hand at least twenty-four hours, before the meeting, or directed to
the director at the director's usual or last known business or residence
address; or (b) to give notice to the director in person or by telephone at
least twenty-four hours before the meeting. Notice of a meeting need not be
given to any director if a written waiver of notice, executed by the director
before or after the meeting, is filed with the records of the meeting, or to any
director who attends the meeting without protesting prior thereto or at its
commencement the lack of notice to the director. Neither notice of a meeting nor
a waiver of a notice need specify the purposes of the meeting.

      4.10 QUORUM. Except as may be otherwise provided by law, the certificate
of incorporation or these by-laws, at any meeting of the board of directors a
majority of the directors then in office shall constitute a quorum. A quorum
shall not in any case be less than one-third of the total number of directors
constituting the whole board. In the event one or more of the directors shall be
disqualified to vote at any meeting, then the required quorum shall be reduced
by one for each such director so disqualified, subject to the preceding
sentence. Any meeting may be adjourned from time to time by a majority of the
directors present at the

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meeting, whether or not a quorum is present, and the meeting may be held as
adjourned without further notice.

      4.11 ACTION BY VOTE. Except as may be otherwise provided by law, the
certificate of incorporation or these by-laws, when a quorum is present at any
meeting the vote of a majority of the directors present shall be the act of the
board of directors.

      4.12 ACTION WITHOUT A MEETING. Any action required or permitted to be
taken at any meeting of the board of directors or of any committee thereof may
be taken without a meeting if all the members of the board or such committee, as
the case may be, consent to the action in writing, and the written consent is
filed with the records of the meetings of the board or such committee. Such
consent shall be treated for all purposes as the act of the board or of such
committee, as the case may be.

      4.13 PARTICIPATION IN MEETINGS BY CONFERENCE TELEPHONE. Members of the
board of directors or of any committee thereof may participate in a meeting of
such board or committee by means of conference telephone or similar
communications equipment by means of which all persons participating in the
meeting can hear each other. Such participation shall constitute presence in
person at such meeting.

      4.14 COMPENSATION. The board of directors shall have the authority to fix
from time to time the compensation of directors. The directors may be paid their
expenses, if any, of attendance at each meeting of the board of directors and
the performance of their responsibilities as directors and may be paid a fixed
sum for attendance at each meeting of the board of directors and/or a stated
salary as director. No such payment shall preclude any director from serving the
Corporation or its parent or subsidiary corporations in any other capacity and
receiving compensation therefor. The board of directors may also allow
compensation for members of special or standing committees for service on such
committees.

      4.15 REMOVAL OR RESIGNATION OF DIRECTORS. Directors may be removed only
for cause by the affirmative vote of the holders of at least two-third of the
shares of capital stock of the Corporation issued, outstanding and entitled to
vote. Any director may resign at any time by delivering a resignation in writing
to the Chief Executive Officer (or if there is no Chief Executive Officer, the
President) or the Secretary or to a meeting of the board of directors. Such
resignation shall be effective upon receipt unless specified to be effective at
some other time and without in either case the necessity of its being accepted,
unless the resignation shall so state. No director resigning and (except where a
right to receive compensation shall be expressly provided in a duly authorized
written agreement with the Corporation) no director removed shall have any right
to receive compensation as such director for any period following the director's
resignation or removal, or any right to damages on account of such removal,
whether the director's compensation be by the month or by the year or otherwise;
unless in the case of a resignation, the directors, or in the case of removal,
the body acting on the removal, shall in their or its discretion provide for
compensation.


SECTION 5  NOTICES.

      5.1 FORM OF NOTICE. Whenever, under the provisions of law, or of the
certificate of incorporation or of these by-laws, notice is required to be given
to any director or stockholder, such notice may be given by mail, addressed to
such director or stockholder, at the director's or stockholder's address as it
appears on the records of the Corporation, with postage thereon prepaid, and
such notice shall be deemed to be given at the time when the same shall be
deposited in the United States mail. Unless written notice by mail is required
by law, written notice may also be given by telegram, cable, facsimile,
commercial delivery service, telex or similar means, addressed to such director
or stockholder at the address thereof as such address appears on the records of
the Corporation, in which case such notice shall be deemed to be given when
delivered into

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the control of the persons charged with effecting such transmission, the
transmission charge to be paid by the Corporation or the person sending such
notice and not by the addressee. Oral notice or other in-hand delivery (in
person or by telephone) shall be deemed given at the time it is actually given.

      5.2 WAIVER OF NOTICE. Whenever notice is required to be given under the
provisions of law, the certificate of incorporation or these by-laws, a written
waiver thereof, signed by the person entitled to notice, whether before or after
the time stated therein, shall be deemed equivalent to notice. Attendance of a
person at a meeting shall constitute a waiver of notice of such meeting, except
when the person attends a meeting for the express purpose of objecting, at the
beginning of the meeting, to the transaction of any business because the meeting
is not lawfully called or convened. Neither the business to be transacted at,
nor the purpose of, any meeting of the stockholders, directors or members of a
committee of the board of directors need be specified in any written waiver of
notice.


SECTION 6  OFFICERS AND AGENTS.

      6.1 ENUMERATION; QUALIFICATION. The officers of the Corporation shall
consist of a President, a Treasurer, a Secretary and such other officers, if
any, as the board of directors from time to time may in its discretion elect or
appoint, including a Chairman of the Board, a Chief Executive Officer, a Chief
Financial Officer , a Chief Legal Officer and one or more Vice Presidents,
Assistant Treasurers and Assistant Secretaries. Any officer may be, but none
need be, a director or stockholder. Any two or more offices may be held by the
same person. Any officer may be required by the board of directors to secure the
faithful performance of the officer's duties to the Corporation by giving bond
in such amount and with sureties or otherwise as the board of directors may
determine.

      6.2 ELECTION. The board of directors shall choose a President, a Secretary
and a Treasurer at the first meeting of the board following each annual meeting
of stockholders. Other officers may be appointed by the board of directors at
such meeting, at any other meeting or by written consent. At any time or from
time to time, the directors may delegate to any officer their power to elect or
appoint any other officer or any agents.

      6.3 TENURE. Except as otherwise provided by law, the certificate of
incorporation or these by-laws, each officer shall hold office until a successor
is elected and qualified, unless a shorter period shall have been specified in
the vote approving the officer's election or appointment, or until the officer
sooner dies, resigns or is removed. Each agent of the Corporation shall retain
authority at the pleasure of the directors, or the officer by whom the agent was
appointed or by the officer who then holds agent appointive power.

      6.4 POWERS. Subject to law, the certificate of incorporation and these
by-laws, each officer shall have, in addition to the duties and powers herein
set forth, such duties and powers as are commonly incident to the officer's
office and such additional duties and powers as the board of directors may from
time to time designate.

      6.5 PRESIDENT. If there is no Chief Executive Officer, the President of
the Corporation shall be the chief executive officer of the Corporation. The
President shall, when and in the absence of a Chairman of the Board, preside at
all meetings of the stockholders and at all meetings of the board of directors.
The President may sign all authorized contracts in the name of the Corporation,
shall have general charge and supervision of the business of the Corporation,
subject to the control of the board of directors and shall be the medium of
communication of the board of directors and any board committee of reports,
proposals and recommendations for their respective consideration or action. The
President may sign certificates representing capital stock of the Corporation as
provided in Subsection 7.1, and the President shall do and

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perform such other duties as may be assigned from time to time by the board of
directors. All officers shall report to the President or according to the
President's direction in respect of any matters within the President's
jurisdiction. The board of directors may delegate from time to time certain or
all of the aforesaid powers and responsibilities to the Chief Executive Officer,
if any.

      6.6 VICE PRESIDENT. The Vice President, or if there shall be more than
one, the Vice Presidents in the order determined by the board of directors,
shall, in the absence or disability of the President, perform the duties and
exercise the powers of the President and shall perform such other duties and
have such other powers as the board of directors may from time to time
prescribe. If a Vice President is designated as the chief operating officer of
the Corporation, then such Vice President shall be deemed to be the most senior
Vice President of the Corporation.

      6.7    SECRETARY AND ASSISTANT SECRETARIES.

             (a) The Secretary shall attend all meetings of the board of
      directors and all meetings of the stockholders and record all the
      proceedings of the meetings of the stockholders and of the board of
      directors in a book to be kept for that purpose and shall perform like
      duties for the standing committees when required. The Secretary shall
      give, or cause to be given, notice of all meetings of the stockholders and
      special meetings of the board of directors, and shall perform such other
      duties as may be prescribed by the board of directors or the Chief
      Executive Officer (or if there is no Chief Executive Officer, the
      President), under whose supervision the Secretary shall be. The Secretary
      shall keep in safe custody the seal of the Corporation and, when
      authorized by the board of directors, affix the same to any instrument
      requiring it and, when so affixed, it shall be attested by his signature
      or by the signature of an Assistant Secretary.

             (b) The Assistant Secretary, or if there be more than one, the
      Assistant Secretaries in the order determined by the board of directors,
      shall, in the absence or disability of the Secretary, perform the duties
      and exercise the powers of the Secretary and shall perform such other
      duties and have such other powers as the board of directors may from time
      to time prescribe.

      6.8    TREASURER AND ASSISTANT TREASURERS.

             (a) If there is no Chief Financial Officer, the Treasurer shall be
      the chief financial officer of the Corporation. The Treasurer shall have
      the custody of the corporate funds and securities and shall keep full and
      accurate accounts of receipts and disbursements in books belonging to the
      Corporation and shall deposit all moneys and other valuable effects in the
      name and to the credit of the Corporation in such depositories as may be
      designated by the board of directors. The Treasurer shall disburse funds
      of the Corporation as may be ordered by the board of directors, taking
      proper vouchers for such disbursements, and shall render to the Chief
      Executive Officer (or if there is no Chief Executive Officer, the
      President) and the board of directors, at its regular meetings, or when
      the board of directors so requires, an account of all such officer's
      transactions as Treasurer and of the financial condition of the
      Corporation. If required by the board of directors, the Treasurer shall
      give the Corporation a bond (which shall be renewed as and when required)
      in such sum and with such surety and sureties as shall be satisfactory to
      the board of directors for the faithful performance of the duties of the
      Treasurer's office and for the restoration of the Corporation, in case of
      the Treasurer's death, resignation or removal from office, of all books,
      papers, vouchers, money and other property of whatever kind in the
      Treasurer's possession or under the Treasurer's control belonging to the
      Corporation. The board of directors may delegate from time to time certain
      or all of the aforesaid powers and responsibilities to the Chief Financial
      Officer, if any.

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             (b) The Assistant Treasurer, or if there shall be more than one,
      the Assistant Treasurers in the order determined by the board of
      directors, shall in the absence or disability of the Treasurer, perform
      the duties and exercise the powers of the Treasurer and shall perform such
      other duties and have such other powers as the board of directors may from
      time to time prescribe.

      6.9 RESIGNATION AND REMOVAL. Any officer may resign at any time by
delivering a resignation in writing to the Chief Executive Officer (or if there
is no Chief Executive Officer, the President), the Secretary or a meeting of the
board of directors. Such resignation shall be effective upon receipt unless
specified to be effective at some other time, and without in any case the
necessity of its being accepted unless the resignation shall so state. The board
of directors may, by a majority vote, at any time remove any officer either with
or without cause. The board of directors may at any time terminate or modify the
authority of any agent. No officer resigning and (except where a right to
receive compensation shall be expressly provided in a duly authorized written
agreement with the Corporation) no officer removed shall have any right to any
compensation as such officer for any period following the officer's resignation
or removal, or any right to damages on account of such removal, whether the
officer's compensation be by the month or by the year or otherwise, unless in
the case of a resignation, the directors, or in the case of removal, the body
acting on the removal, shall in their or its discretion provide for
compensation.

      6.10 VACANCIES. The board of directors may fill any vacancy occurring in
any office for any reason and may, in its discretion, leave unfilled for such
period as it may determine any offices other than those of the President, the
Treasurer and the Secretary. Each such successor shall hold office for the
unexpired term of the predecessor and until a successor is elected and
qualified, or in each case until such officer sooner dies, resigns or is
removed.


SECTION 7  CAPITAL STOCK.

      7.1 STOCK CERTIFICATES. Each stockholder shall be entitled to a
certificate stating the number and the class and the designation of the class
and series, if any, of the shares held by the stockholder, in such form as
shall, in conformity to law, the certificate of incorporation and the by-laws,
be prescribed from time to time by the board of directors. Such certificate
shall be signed by, or in the name of the Corporation by, (a) the Chief
Executive Officer, the President or a Vice President and (b) the Chief Financial
Officer, the Treasurer, an Assistant Treasurer, the Secretary or an Assistant
Secretary. Any of the signatures on the certificate may be facsimiles. In case
an officer, transfer agent or registrar who has signed or whose facsimile
signature has been placed on such certificate shall have ceased to be such
officer, transfer agent or registrar before such certificate is issued, it may
be issued by the Corporation with the same effect as if the signatory were such
officer, transfer agent, or registrar at the time of its issue.

      7.2 STOCK ISSUANCES. Unless otherwise voted by the stockholders and
subject to the provisions of the certificate of incorporation, the whole or any
part of any unissued balance of the authorized capital stock of the Corporation
or the whole or any part of any unissued balance of the authorized capital stock
of the Corporation held in its treasury may be issued, sold, transferred or
otherwise disposed of by vote of the board of directors in such manner, for such
consideration and on such terms as the board of directors may determine.

      7.3 STOCK TRANSFERS. Subject to any restrictions with respect to the
transfer of shares of capital stock, shares of capital stock may be transferred
on the books of the Corporation by the surrender to the Corporation or its
transfer agent of the certificate therefor properly endorsed or accompanied by a
written assignment and power of attorney properly executed, with necessary
transfer stamps affixed, and with such

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proof of the authenticity of signature as the board of directors or the transfer
agent of the Corporation may reasonably require. Except as may be otherwise
required by law, the certificate of incorporation or these by-laws, the
Corporation shall be entitled to treat the record holder of capital stock as
shown on its books as the owner of such capital stock for all purposes,
including the payment of dividends and the right to receive notice and to vote
or to give any consent with respect thereto and to be held liable for such calls
and assessments, if any, as may lawfully be made thereon, regardless of any
transfer, pledge or other disposition of such capital stock until the shares
have been properly transferred on the books of the Corporation. It shall be the
duty of each stockholder to notify the Corporation of the stockholder's post
office address.

      7.4 LOST, STOLEN OR DESTROYED CERTIFICATES. The board of directors may
direct a new certificate or certificates to be issued in place of any
certificate or certificates theretofore issued by the Corporation alleged to
have been lost, stolen or destroyed, upon the making of an affidavit of that
fact by the person claiming the certificate of stock to be lost, stolen or
destroyed. When authorizing such issue of a new certificate or certificates, the
board of directors may, in its discretion and as a condition precedent to the
issuance thereof, require the owner of such lost, stolen or destroyed
certificate or certificates, or such owner's legal representative, to advertise
the same in such manner as it shall require and/or to give the Corporation a
bond in such sum as it may direct as indemnity against any claim that may be
made against the Corporation with respect to the certificate alleged to have
been lost, stolen or destroyed.

      7.5 RECORD DATE. In order that the Corporation may determine the
stockholders entitled to notice of or to vote at any meeting of stockholders or
adjournment thereof or entitled to receive payment of any dividend or other
distribution or allotment of any rights, or entitled to exercise any rights in
respect of any change, conversion or exchange of stock or for the purpose of any
other lawful action, the board of directors may fix, in advance, a record date,
which shall not be more than sixty days nor less than ten days before the date
of such meeting, nor more than sixty days prior to any other action to which
such record date relates. A determination of stockholders of record entitled to
notice of or to vote at a meeting of stockholders shall apply to any adjournment
of the meeting; provided, however, that the board of directors may fix a new
record date for the adjourned meeting. If no record date is fixed:

             (a) the record date for determining stockholders entitled to notice
      of or to vote at a meeting of stockholders shall be at the close of
      business on the day next preceding the day on which notice is given, or,
      if notice is waived, at the close of business on the day next preceding
      the day on which the meeting is held;

             (b) the record date for determining stockholders entitled to
      express consent to corporate action in writing without a meeting, when no
      prior action by the board of directors is necessary, shall be the day on
      which the first written consent is expressed; and

             (c) the record date for determining stockholders for any other
      purpose shall be at the close of business on the day on which the board of
      directors adopts the resolution relating to such purpose.


SECTION 8  GENERAL PROVISIONS.

      8.1 FISCAL YEAR. The fiscal year of the Corporation shall begin on the
first day of July in each calendar year and shall end on the last day of June in
the immediately following calendar year.

      8.2 SEAL. The board of directors may, by resolution, adopt a corporate
seal. The corporate seal shall have inscribed thereon the name of the
Corporation, the year of its organization and the word "Delaware."

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The seal may be used by causing it or a facsimile thereof to be impressed or
affixed or reproduced or otherwise. The seal may be altered from time to time by
the board of directors.

      8.3 DIVIDENDS. Dividends upon the capital stock of the Corporation may be
declared by the board of directors at any regular or special meeting or by
written consent, pursuant to law. Dividends may be paid in cash, property or
shares of the capital stock, subject to the provisions of the certificate of
incorporation. Before payment of any dividend, there may be set aside out of any
funds of the Corporation available for dividends such sum or sums as the
directors from time to time, in their absolute discretion, think proper as a
reserve or reserves to meet contingencies, or for equalizing dividends, or for
repairing or maintaining any property of the Corporation, or for such other
purpose as the directors shall think conducive to the interest of the
Corporation, and the directors may modify or abolish any such reserve in the
manner in which it was created.

      8.4 CHECKS. All checks or demands for money and notes of the Corporation
shall be signed by such officer or officers or such other person or persons as
the board of directors may from time to time designate.

      8.5 VOTING OF SECURITIES. Except as the directors may otherwise designate,
the Chief Executive Officer, the President, the Chief Financial Officer, the
Treasurer or the Chief Legal Officer may waive notice of, and act as, or appoint
any person or persons to act as, proxy or attorney-in-fact for the Corporation
(with or without power of substitution) at any meeting of stockholders of any
other corporation or organization of which the Corporation holds securities.

      8.6 EVIDENCE OF AUTHORITY. A certificate of the Secretary, an Assistant
Secretary or a temporary Secretary as to any action taken by the stockholders,
the board of directors or a committee thereof, or any officer or representative
of the Corporation shall be conclusive evidence of such action as to all persons
who rely on the certificate in good faith.

      8.7    INTERESTED PARTIES.

             (a) No contract or transaction between the Corporation and one or
      more of its directors or officers, or between the Corporation and any
      other corporation, partnership, association or other organization in which
      one or more of the Corporation's directors or officers are directors or
      officers or have a financial interest, shall be void or voidable solely
      for this reason, or solely because the director or officer is present at
      or participates in the meeting of the board of directors or committee
      thereof that authorizes the contract or transaction, or solely because the
      vote of any such person is counted for such purpose, if:

             (1)  the material facts as to the relationship or interest of the
                  director or officer and the contract or transaction are
                  disclosed or known to the board of directors or the committee,
                  and the board or committee in good faith authorizes the
                  contract or transaction by the affirmative vote of a majority
                  of the disinterested directors, even though the disinterested
                  directors do not constitute a quorum;

             (2)  the material facts as to the relationship or interest of the
                  director or officer and the contract or transaction are
                  disclosed or known to the stockholders entitled to vote
                  thereon, and the contract or transaction is specifically
                  approved in good faith by vote of the stockholders; or


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             (3)  the contract or transaction is fair as to the Corporation as
                  of the time it is authorized, approved or ratified by the
                  board of directors, a committee thereof or the stockholders.

             (b) Common or interested directors may be counted in determining
      the presence of a quorum at a meeting of the board of directors or of a
      committee thereof that authorizes the contract or transaction.

      8.8 CONSTRUCTION; DEFINITIONS. Unless the context requires otherwise, the
general provisions, rules of construction and definitions in the General
Corporation Law of Delaware shall govern the construction of these by-laws.
Without limiting the generality of this provision, the singular number includes
the plural, the plural number includes the singular and the term "person"
includes both a corporation and a natural person. The term "including" as used
herein shall not be construed so as to exclude any other thing not referred to
or described..

      8.9 PROVISIONS ADDITIONAL TO PROVISIONS OF LAW. All restrictions,
limitations, requirements and other provisions of these by-laws shall be
construed, insofar as possible, as supplemental and additional to all provisions
of law applicable to the subject matter thereof and shall be fully complied with
in addition to such provisions of law unless such compliance shall be illegal.

      8.10 PROVISIONS CONTRARY TO PROVISIONS OF LAW. Any section, subsection,
subdivision, sentence, clause or phrase of these by-laws that, upon being
construed in the manner provided in Section 8.9 of these by-laws, shall be
contrary to or inconsistent with any applicable provision of law, shall not
apply so long as said provision of law shall remain in effect. Any such result
shall not affect the validity or applicability of any other portion of these
by-laws, it being hereby declared that these by-laws would have been adopted
irrespective of the fact that any one or more sections, subsections,
subdivisions, sentences, clauses or phrases of these by-laws is or are illegal.


SECTION 9  AMENDMENT OF BY-LAWS.

      9.1 BY BOARD OF DIRECTORS. These by-laws may be altered, amended or
repealed or new by-laws may be adopted by the affirmative vote of a majority of
the directors present at any regular or special meeting of the board of
directors at which a quorum is present.

      9.2 BY STOCKHOLDERS. These by-laws may be altered, amended or repealed or
new by-laws may be adopted by the affirmative vote of the holders of a majority
of the shares of capital stock of the Corporation issued, outstanding and
entitled to vote at any regular or special meeting of stockholders, provided
notice of such alteration, amendment, repeal or adoption of new by-laws shall
have been stated in the notice of such regular or special meeting.
Notwithstanding the foregoing or any other provision of law, the certificate of
incorporation or these by-laws, and notwithstanding the fact that a lesser
percentage may be specified by law, the affirmative vote of the holders of at
least seventy-five percent of the shares of the capital stock of the Corporation
issued, outstanding and entitled to vote shall be required to amend or repeal,
or to adopt any provision inconsistent with, Subsections 3.5, 3.13, 3.14 and
3.16, Section 4 or Section 9 of these by-laws.



                                       13
   1
                                                                     EXHIBIT 4.1








                                RIGHTS AGREEMENT

                           DATED AS OF MARCH 12, 1998

                                     BETWEEN

                             ASPEN TECHNOLOGY, INC.

                                       AND

                   AMERICAN STOCK TRANSFER AND TRUST COMPANY,
                                 AS RIGHTS AGENT




   2



                                TABLE OF CONTENTS

SECTION                                                                     PAGE

SECTION 1.        Certain Definitions..........................................1
SECTION 2.        Appointment of Rights Agent.  ...............................6
SECTION 3.        Issue of Rights and Right Certificates.  ....................6
SECTION 4.        Form of Right Certificates.  ................................7
SECTION 5.        Execution, Countersignature and Registration.................7
SECTION 6.        Transfer, Split-Up, Combination and Exchange of Right 
                        Certificates; Mutilated, Destroyed, Lost or Stolen
                        Right Certificates; Uncertificated Rights..............8
SECTION 7.        Exercise of Rights; Expiration Date of Rights................8
SECTION 8.        Cancellation and Destruction of Right Certificates..........10
SECTION 9.        Reservation and Availability of Preferred Shares............10
SECTION 10.       Preferred Shares Record Date................................11
SECTION 11.       Adjustments in Rights After There Is an Acquiring Person; 
                      Exchange of Rights for Shares; Business Combinations....11
SECTION 12.       Certain Adjustments.........................................15
SECTION 13.       Certificate of Adjustment...................................15
SECTION 14.       Additional Covenants........................................15
SECTION 15.       Fractional Rights and Fractional Shares.....................16
SECTION 16.       Rights of Action............................................17
SECTION 17.       Transfer and Ownership of Rights and Right Certificates.....17
SECTION 18.       Right Certificate Holder Not Deemed a Stockholder...........17
SECTION 19.       Concerning the Rights Agent.................................17
SECTION 20.       Merger or Consolidation or Change of Rights Agent...........18
SECTION 21.       Duties of Rights Agent......................................18
SECTION 22.       Change of Rights Agent......................................20
SECTION 23.       Issuance of Additional Rights and Right Certificates........20
SECTION 24.       Redemption and Termination..................................21
SECTION 25.       Notices.....................................................21
SECTION 26.       Supplements and Amendments..................................22
SECTION 27.       Successors..................................................22
SECTION 28.       Benefits of Rights Agreement; Determinations and Actions
                      by the Board of Directors, etc..........................22
SECTION 29.       Severability................................................23
SECTION 30.       Governing Law...............................................23
SECTION 31.       Counterparts; Effectiveness.................................23
SECTION 32.       Descriptive Headings........................................23

EXHIBITS

A        Certificate of Designation
B        Form of Right Certificate



   3



         THIS RIGHTS AGREEMENT dated as of March 12, 1998 is made between Aspen
Technology, Inc., a Delaware corporation (the "Company"), and American Stock
Transfer and Trust Company, a limited power banking trust company licensed by
the New York State Banking Authority, as Rights Agent (the "Rights Agent").

         The Board of Directors of the Company has authorized and declared a
distribution of one Right (as hereinafter defined) for each share of Common
Stock, par value $.10 per share, of the Company (the "Common Stock") outstanding
at the Close of Business (as hereinafter defined) on March 12, 1998 (the "Record
Date"), and has authorized the issuance of one Right (as such number may
hereafter be adjusted pursuant to the provisions of this Rights Agreement) with
respect to each share of Common Stock that shall become outstanding between the
Record Date and the earliest of the Distribution Date, the Redemption Date or
the Expiration Date (as such terms are hereinafter defined); PROVIDED, HOWEVER,
that Rights may be issued with respect to shares of Common Stock that shall
become outstanding after the Distribution Date and prior to the earlier of the
Redemption Date or the Expiration Date in accordance with the provisions of
Section 23. Each Right shall initially represent the right to purchase one
one-hundredth (1/100th) of a share of Series A Participating Cumulative
Preferred Stock, par value $.10 per share, of the Company (the "Preferred
Shares"), having the powers, rights and preferences set forth in the Certificate
of Designation attached as Exhibit A.

         Accordingly, in consideration of the premises and the mutual agreements
herein set forth, the parties hereby agree as follows:

         SECTION 1. CERTAIN DEFINITIONS. For purposes of this Rights Agreement,
the following terms have the meanings indicated:

         "ACQUIRING PERSON" shall mean any Person who or which, alone or
together with all Affiliates and Associates of such Person, shall be the
Beneficial Owner of Common Shares then outstanding that equals or exceeds such
Person's Ownership Threshold, but shall not include (A) the Company, any
Subsidiary of the Company, any employee benefit plan of the Company or of any of
its Subsidiaries, or any Person holding Common Shares for or pursuant to the
terms of any such employee benefit plan, or (B) any such Person who or which has
become such a Beneficial Owner solely because (i) of a change in the aggregate
number of Common Shares outstanding since the last date on which such Person
acquired Beneficial Ownership of any Common Shares or (ii) it acquired such
Beneficial Ownership in the good faith belief that such acquisition would not
cause such Beneficial Ownership to exceed such Person's Ownership Threshold and
such Person relied in good faith in computing the percentage of its Beneficial
Ownership on publicly filed reports or documents of the Company which are
inaccurate or out-of-date. Notwithstanding clause (B) of the immediately
preceding sentence, if any Person that is not an Acquiring Person due to such
clause (B) does not reduce its percentage of Beneficial Ownership of Common
Shares to an amount less than such Person's Ownership Threshold by the Close of
Business on the fifth Business Day after notice from the Company (the date of
notice being the first day) that such Person's Beneficial Ownership of Common
Shares so exceeds such Person's Ownership Threshold, such Person shall, at the
end of such five Business Day period, become an Acquiring Person (and such
clause (B) shall no longer apply to such Person). For purposes of this
definition, the determination whether any Person acted in "good faith" shall be
conclusively determined by the Board of Directors of the Company.

         "AFFILIATE" and "ASSOCIATE", when used with reference to any Person,
shall have the respective meanings ascribed to such terms in Rule 12b-2 of the
General Rules and Regulations under the Exchange Act, as in effect on the date
of this Rights Agreement.



   4



         A Person shall be deemed the "BENEFICIAL OWNER" of, and shall be deemed
to "BENEFICIALLY OWN", and shall be deemed to have "BENEFICIAL OWNERSHIP" of,
any securities:

                  (i) which such Person or any of such Person's Affiliates or
         Associates is deemed to "beneficially own" within the meaning of Rule
         13d-3 of the General Rules and Regulations under the Exchange Act, as
         in effect on the date of this Rights Agreement;

                  (ii) which such Person or any of such Person's Affiliates or
         Associates has (A) the right to acquire (whether such right is
         exercisable immediately or only after the passage of time) pursuant to
         any agreement, arrangement or understanding (written or oral), or upon
         the exercise of conversion rights, exchange rights, rights (other than
         the Rights), warrants or options, or otherwise; PROVIDED, HOWEVER, that
         a Person shall not be deemed the Beneficial Owner of, or to
         beneficially own, or to have Beneficial Ownership of, securities
         tendered pursuant to a tender or exchange offer made by or on behalf of
         such Person or any of such Person's Affiliates or Associates until such
         tendered securities are accepted for purchase or exchange thereunder,
         or (B) the right to vote pursuant to any agreement, arrangement or
         understanding (written or oral); PROVIDED, HOWEVER, that a Person shall
         not be deemed the Beneficial Owner of, or to beneficially own, any
         security if (1) the agreement, arrangement or understanding (written or
         oral) to vote such security arises solely from a revocable proxy or
         consent given to such Person pursuant to a definitive proxy statement
         filed with the Securities and Exchange Commission and otherwise in
         accordance with, the applicable rules and regulations under the
         Exchange Act and (2) the beneficial ownership of such security is not
         also then reportable on Schedule 13D under the Exchange Act (or any
         comparable or successor report); or

                  (iii) which are beneficially owned, directly or indirectly, by
         any other Person with which such Person or any of such Person's
         Affiliates or Associates has any agreement, arrangement or
         understanding (written or oral) for the purpose of acquiring, holding,
         voting (except pursuant to a revocable proxy as described in clause
         (ii)(B) of this definition) or disposing of any securities of the
         Company.

Notwithstanding the foregoing, nothing contained in this definition shall cause
a Person ordinarily engaged in business as an underwriter of securities to be
the "Beneficial Owner" of, or to "beneficially own", any securities acquired in
a bona fide firm commitment underwriting pursuant to an underwriting agreement
with the Company.

         "BOOK VALUE", when used with reference to Common Shares issued by any
Person, shall mean the amount of equity of such Person applicable to each Common
Share, determined (i) in accordance with generally accepted accounting
principles in effect on the date as of which such Book Value is to be
determined, (ii) using all the consolidated assets and all the consolidated
liabilities of such Person on the date as of which such Book Value is to be
determined, except that no value shall be included in such assets for goodwill
arising from consummation of a business combination, and (iii) after giving
effect to (A) the exercise of all rights, options and warrants to purchase such
Common Shares (other than the Rights), and the conversion of all securities
convertible into such Common Shares, at an exercise or conversion price, per
Common Share, which is less than such Book Value before giving effect to such
exercise or conversion (whether or not exercisability or convertibility is
conditioned upon occurrence of a future event), (B) all dividends and other
distributions on the capital stock of such Person declared prior to the date as
of which such Book Value is to be determined and to be paid or made after such
date, and (C) any other agreement, arrangement or understanding (written or
oral), or transaction or other action prior to the date as of which such Book
Value is to be determined which would have the effect of thereafter reducing
such Book Value.

         "BUSINESS COMBINATION" shall have the meaning set forth in Section 
11(c)(I).

                                       -2-

   5



         "BUSINESS DAY" shall mean each Monday, Tuesday, Wednesday, Thursday and
Friday which is not a day on which banking institutions in Boston,
Massachusetts, or the city in which the principal office of the Rights Agent is
located, are authorized or obligated by law or executive order to close.

         "CERTIFICATE OF DESIGNATION" shall mean the Certificate of Vote of
Directors Establishing a Series of a Class of Stock setting forth the powers,
preferences, rights, qualifications, limitations and restrictions of Series A
Participating Cumulative Preferred Stock of the Company, a copy of which is
attached as Exhibit A.

         "CLOSE OF BUSINESS" on any given date shall mean 5:00 p.m., Boston
time, on such date; PROVIDED, HOWEVER, that, if such date is not a Business Day,
"Close of Business" shall mean 5:00 p.m., Boston, Massachusetts time, on the
next succeeding Business Day.

         "COMMON SHARES", when used with reference to the Company prior to a
Business Combination, shall mean the shares of Common Stock or any other shares
of capital stock of the Company into which the Common Stock shall be
reclassified or changed. "Common Shares", when used with reference to any Person
(other than the Company prior to a Business Combination), shall mean shares of
capital stock of such Person (if such Person is a corporation) of any class or
series, or units of equity interests in such Person (if such Person is not a
corporation) of any class or series, the terms of which do not limit (as a
maximum amount and not merely in proportional terms) the amount of dividends or
income payable or distributable on such class or series or the amount of assets
distributable on such class or series upon any voluntary or involuntary
liquidation, dissolution or winding up of such Person and do not provide that
such class or series is subject to redemption at the option of such Person, or
any shares of capital stock or units of equity interests into which the
foregoing shall be reclassified or changed; PROVIDED, HOWEVER, that, if at any
time there shall be more than one such class or series of capital stock or
equity interests of such Person, "Common Shares" of such Person shall include
all such classes and series substantially in the proportion of the total number
of shares or other units of each such class or series outstanding at such time.

         "COMMON STOCK" shall have the meaning set forth in the introductory
paragraph of this Rights Agreement.

         "COMPANY" shall have the meaning set forth in the heading of this
Rights Agreement; PROVIDED, HOWEVER, that if there is a Business Combination,
"Company" shall have the meaning set forth in Section 11(c)(III).

         The term "CONTROL" with respect to any Person shall mean the power to
direct the management and policies of such Person, directly or indirectly, by or
through stock ownership, agency or otherwise, or pursuant to or in connection
with an agreement, arrangement or understanding (written or oral) with one or
more other Persons by or through stock ownership, agency or otherwise; and the
terms "controlling" and "controlled" shall have meanings correlative to the
foregoing.

         "DISTRIBUTION DATE" shall have the meaning set forth in Section 3(b).

         "EXCHANGE ACT" shall mean the Securities Exchange Act of 1934, as in
effect on the date in question, unless otherwise specifically provided.

         "EXCHANGE CONSIDERATION" shall have the meaning set forth in 
Section 11(b)(I).

         "EXPIRATION DATE" shall have the meaning set forth in Section 7(a).

         "FORMULA NUMBER" shall have the meaning set forth in Section 2 of the
Certificate of Designation.

                                       -3-

   6



         "MAJOR PART", when used with reference to the assets of the Company and
its Subsidiaries as of any date, shall mean assets (i) having a fair market
value aggregating 50% or more of the total fair market value of all the assets
of the Company and its Subsidiaries (taken as a whole) as of the date in
question, (ii) accounting for 50% or more of the total value (net of
depreciation and amortization) of all the assets of the Company and its
Subsidiaries (taken as a whole) as would be shown on a consolidated or combined
balance sheet of the Company and its Subsidiaries as of the date in question,
prepared in accordance with generally accepted accounting principles then in
effect, or (iii) accounting for 50% or more of the total amount of earnings
before interest, taxes, depreciation and amortization or revenues of the Company
and its Subsidiaries (taken as a whole) as would be shown on, or derived from, a
consolidated or combined statement of income of the Company and its Subsidiaries
for the period of 12 months ending on the last day of the Company's monthly
accounting period next preceding the date in question, prepared in accordance
with generally accepted accounting principles then in effect.

         "MARKET VALUE", when used with reference to any class of Common Shares
on any date, shall be deemed to be the average of the daily closing prices, per
share, of any such class for the period which is the shorter of (1) 30
consecutive Trading Days immediately prior to the date in question or (2) the
number of consecutive Trading Days beginning on the Trading Day immediately
after the date of the first public announcement of a Business Combination with
an Acquiring Person or Affiliate or Associate of an Acquiring Person requiring a
determination of the Market Value and ending on the Trading Day immediately
prior to the record date of such Business Combination; PROVIDED, HOWEVER, that,
in the event that the Market Value of such class of Common Shares is to be
determined in whole or in part during a period following the announcement by the
issuer of such class of Common Shares of any action of the type described in
Section 12(a) that would require an adjustment thereunder, then, and in each
such case, the Market Value of such class shall be appropriately adjusted to
reflect the effect of such action on the market price of such class. The closing
price for each Trading Day shall be the closing price quoted on the composite
tape for securities listed on the New York Stock Exchange, or, if such
securities are not quoted on such composite tape or if such securities are not
listed on such exchange, on the principal United States securities exchange
registered under the Exchange Act (or any recognized foreign stock exchange) on
which such securities are listed, or, if such securities are not listed on any
such exchange, the last quoted price or, if not so quoted, the average of the
high bid and low asked prices in the over-the-counter market with respect to a
share of such securities as reported by the National Association of Securities
Dealers, Inc. Automated Quotations System ("NASDAQ") or such other system then
in use, or if no such quotations are available, the average of the closing bid
and asked prices as furnished by a professional market maker making a market in
such securities selected by the Board of Directors of the Company. If on any
such Trading Day no market maker is making a market in such securities for any
reason, the closing price of such securities on such Trading Day shall be deemed
to be the fair value of such securities as determined in good faith by the Board
of Directors of the Company (whose determination shall be described in a
statement filed with the Rights Agent and shall be binding on the Rights Agent,
the holders of Rights and all other Persons); PROVIDED, HOWEVER, that for the
purpose of determining the closing price of the Preferred Shares for any Trading
Day on which there is no such market maker for the Preferred Shares the closing
price on such Trading Day shall be deemed to be the Formula Number times the
closing price of the Common Stock of the Company on such Trading Day.

         "OWNERSHIP THRESHOLD" shall mean, with respect to any Person,
Beneficial Ownership of the GREATER of (A) 15% of the Common Shares at any time
outstanding or (B) the percentage of the outstanding Common Shares Beneficially
Owned by such Person on the date of this Rights Agreement, plus in the case of
this clause (B) 1% of the Common Shares outstanding on such date.

         "PERSON" shall mean an individual, corporation, partnership, joint
venture, association, trust, unincorporated organization or other entity.


                                       -4-

   7



         "PREFERRED SHARES" shall have the meaning set forth in the introductory
paragraph of this Rights Agreement. Any reference in this Rights Agreement to
Preferred Shares shall be deemed to include any authorized fraction of a
Preferred Share, unless the context otherwise requires.

         "PREFERRED STOCK" shall mean the Preferred Stock, par value $.10 per
share, of the Company.

         "PRINCIPAL PARTY" shall mean the Surviving Person in a Business
Combination; PROVIDED, HOWEVER, that, if such Surviving Person is a direct or
indirect Subsidiary of any other Person, "Principal Party" shall mean the Person
which is the ultimate parent of such Surviving Person and which is not itself a
Subsidiary of another Person. In the event ultimate control of such Surviving
Person is shared by two or more Persons, "Principal Party" shall mean that
Person that is immediately controlled by such two or more Persons.

         "PURCHASE PRICE" with respect to each Right shall mean $175.00, as such
amount may from time to time be adjusted as provided herein, and shall be
payable in lawful money of the United States of America. All references herein
to the Purchase Price shall mean the Purchase Price as in effect at the time in
question.

         "RECORD DATE" shall have the meaning set forth in the introductory
paragraph of this Rights Agreement.

         "REDEMPTION DATE" shall have the meaning set forth in Section 24(a).

         "REDEMPTION PRICE" with respect to each Right shall mean $.01, as such
amount may from time to time be adjusted in accordance with Section 12. All
references herein to the Redemption Price shall mean the Redemption Price as in
effect at the time in question.

         "REGISTERED COMMON SHARES" shall mean Common Shares which are, as of
the date of consummation of a Business Combination, and have continuously been
for the 12 months immediately preceding such date, registered under Section 12
of the Exchange Act.

         "RIGHT CERTIFICATE" shall mean a certificate evidencing a Right in
substantially the form attached as Exhibit B.

         "RIGHTS" shall mean the rights to purchase Preferred Shares (or other
securities) as provided in this Rights Agreement.

         "SECURITIES ACT" shall mean the Securities Act of 1933, as in effect on
the date in question, unless otherwise specifically provided.

         "SUBSIDIARY" shall mean a Person, at least a majority of the total
outstanding voting power (being the power under ordinary circumstances (and not
merely upon the happening of a contingency) to vote in the election of directors
of such Person (if such Person is a corporation) or to participate in the
management and control of such Person (if such Person is not a corporation)) of
which is owned, directly or indirectly, by another Person or by one or more
other Subsidiaries of such other Person or by such other Person and one or more
other Subsidiaries of such other Person.

         "SURVIVING PERSON" shall mean (1) the Person which is the continuing or
surviving Person in a consolidation or merger specified in Section 11(c)(I)(i)
or 11(c)(I)(ii) or (2) the Person to which the Major Part of the assets of the
Company and its Subsidiaries is sold, leased, exchanged or otherwise transferred
or disposed of in a transaction specified in Section 11(c)(I)(iii); PROVIDED,
HOWEVER, that, if the Major Part of the assets of the Company and its
Subsidiaries is sold, leased, exchanged or otherwise transferred or disposed

                                       -5-

   8



of in one or more related transactions specified in Section 11(c)(I)(iii) to
more than one Person, the "Surviving Person" in such case shall mean the Person
that acquired assets of the Company and/or its Subsidiaries with the greatest
fair market value in such transaction or transactions.

         "TRADING DAY" when used with reference to the Market Value of a
security, shall mean a day on which the principal national securities exchange
(or principal recognized foreign stock exchange, as the case may be) on which
such securities are listed or admitted to trading is open for the transaction of
business or, if such securities in question are not listed or admitted to
trading on any national securities exchange (or recognized foreign stock
exchange, as the case may be), a Business Day.

         SECTION 2. APPOINTMENT OF RIGHTS AGENT. The Company hereby appoints the
Rights Agent to act as agent for the Company in accordance with the terms and
conditions hereof, and the Rights Agent hereby accepts such appointment. The
Company may from time to time appoint one or more co-Rights Agents as it may
deem necessary or desirable (the term "Rights Agent" being used herein to refer,
collectively, to the Rights Agent together with any such co-Rights Agents). In
the event the Company appoints one or more co- Rights Agents, the respective
duties of the Rights Agent and any co-Rights Agents shall be as the Company
shall determine.

         SECTION 3. ISSUE OF RIGHTS AND RIGHT CERTIFICATES. (a) One Right shall
be associated with each Common Share outstanding on the Record Date, each
additional Common Share that shall become outstanding between the Record Date
and the earliest of the Distribution Date, the Redemption Date or the Expiration
Date and each additional Common Share with which Rights are issued after the
Distribution Date but prior to the earlier of the Redemption Date or the
Expiration Date as provided in Section 23, in each case subject to the
provisions of Section 12.

         (b) Until the earlier of (i) such time as the Company learns that a
Person has become an Acquiring Person or (ii) the Close of Business on such
date, if any, as may be designated by the Board of Directors of the Company
following the commencement of, or first public disclosure of an intent to
commence, a tender or exchange offer by any Person (other than the Company, any
Subsidiary of the Company, any Successor Company, any employee benefit plan of
the Company or of any of its Subsidiaries, or any Person holding Common Shares
for or pursuant to the terms of any such employee benefit plan) for outstanding
Common Shares, if upon consummation of such tender or exchange offer such
Person's Beneficial Ownership of Common Shares then outstanding could equal or
exceed such Person's Ownership Threshold (the Close of Business on the earlier
of such dates being the "Distribution Date"), (x) the Rights will be evidenced
by the certificates for Common Shares registered in the names of the holders
thereof and not by separate Right Certificates and (y) the Rights, including the
right to receive Right Certificates, will be transferable only in connection
with the transfer of Common Shares. As soon as practicable after the
Distribution Date, the Rights Agent will send, by first-class, postage-prepaid
mail, to each record holder of Common Shares as of the Distribution Date, at the
address of such holder shown on the records of the Company, a Right Certificate
evidencing the Rights to which such holder is entitled. As of and after the
Distribution Date, the Rights will be evidenced solely by such Right
Certificates.

         (c) With respect to any certificate for Common Shares, until the
earliest of the Distribution Date, the Redemption Date or the Expiration Date,
the Rights associated with the Common Shares represented by any such certificate
shall be evidenced by such certificate alone, the registered holders of the
Common Shares shall also be the registered holders of the associated Rights and
the surrender for transfer of any such certificate shall also constitute the
transfer of the Rights associated with the Common Shares represented thereby.


                                       -6-

   9



         (d) Certificates issued for Common Shares after the Record Date
(including, without limitation, upon transfer or exchange of outstanding Common
Shares), but prior to the earliest of the Distribution Date, the Redemption Date
or the Expiration Date, may have printed on, written on or otherwise affixed to
them the following legend:

                  This certificate also evidences and entitles the holder hereof
                  to certain Rights as set forth in a Rights Agreement dated as
                  of March 12, 1998, as it may be amended from time to time (the
                  "Rights Agreement"), between Aspen Technology, Inc. (the
                  "Company") and American Stock Transfer & Trust Company, as
                  Rights Agent (the "Rights Agent"), the terms of which are
                  hereby incorporated herein by reference and a copy of which is
                  on file at the principal executive offices of the Company.
                  Under certain circumstances, as set forth in the Rights
                  Agreement, such Rights will be evidenced by separate
                  certificates and will no longer be evidenced by this
                  certificate. The Company will mail to the holder of this
                  certificate a copy of the Rights Agreement without charge
                  after receipt of a written request therefor. Rights
                  beneficially owned by Acquiring Persons or their Affiliates or
                  Associates (as such terms are defined in the Rights Agreement)
                  and by any subsequent holder of such Rights are null and void
                  and nontransferable.

Notwithstanding this paragraph (d), the omission of a legend shall not affect
the enforceability of any part of this Rights Agreement or the rights of any
holder of Rights.

         SECTION 4. FORM OF RIGHT CERTIFICATES. The Right Certificates (and the
form of election to purchase and form of assignment to be printed on the reverse
side thereof) shall be in substantially the form set forth as Exhibit B and may
have such marks of identification or designation and such legends, summaries or
endorsements printed thereon as the Company may deem appropriate and as are not
inconsistent with the provisions of this Rights Agreement, or as may be required
to comply with any applicable law or with any rule or regulation made pursuant
thereto or with any rule or regulation of any stock exchange on which the Rights
may, from time to time be listed, or to conform to usage. Subject to the
provisions of Sections 7, 11 and 23, the Right Certificates, whenever issued,
shall be dated as of the Distribution Date, and on their face shall entitle the
holders thereof to purchase such number of Preferred Shares as shall be set
forth therein for the Purchase Price set forth therein, subject to adjustment
from time to time as herein provided.

         SECTION 5. EXECUTION, COUNTERSIGNATURE AND REGISTRATION. (a) The Right
Certificates shall be executed on behalf of the Company by the Chief Executive
Officer, the President, the Chief Financial Officer, the Treasurer or a Vice
President (whether preceded by any additional title) of the Company, either
manually or by facsimile signature, and have affixed thereto the Company's seal
or a facsimile thereof which shall be attested by the Secretary, an Assistant
Secretary or a Vice President (whether preceded by any additional title,
provided that such Vice President shall not have also executed the Right
Certificates) of the Company, either manually or by facsimile signature. The
Right Certificates shall be manually countersigned by the Rights Agent and shall
not be valid or obligatory for any purpose unless so countersigned. In case any
officer of the Company who shall have signed any of the Right Certificates shall
cease to be such an officer of the Company before countersignature by the Rights
Agent and issuance and delivery by the Company, such Right Certificates may
nevertheless be countersigned by the Rights Agent and issued and delivered by
the Company with the same force and effect as though the person who signed such
Right Certificates had not ceased to be such an officer of the Company; and any
Right Certificate may be signed on behalf of the Company by any person who, at
the actual date of execution of such Right Certificate, shall be a proper
officer of the Company to sign such Right Certificate, although at the date of
execution of this Rights Agreement any such person was not such an officer of
the Company.


                                       -7-

   10



         (b) Following the Distribution Date, the Rights Agent will keep or
cause to be kept, at its office in Brooklyn, New York, books for registration
and transfer of the Right Certificates issued hereunder. Such books shall show
the names and addresses of the respective holders of the Right Certificates, the
number of Rights evidenced by each of the Right Certificates, the certificate
number of each of the Right Certificates and the date of each of the Right
Certificates.

         SECTION 6. TRANSFER, SPLIT-UP, COMBINATION AND EXCHANGE OF RIGHT
CERTIFICATES; MUTILATED, DESTROYED, LOST OR STOLEN RIGHT CERTIFICATES;
UNCERTIFICATED RIGHTS. (a) Subject to the provisions of Sections 7(e) and 15, at
any time after the Distribution Date, and at or prior to the Close of Business
on the earlier of the Redemption Date or the Expiration Date, any Right
Certificate or Right Certificates may be transferred, split-up, combined or
exchanged for another Right Certificate or Right Certificates representing, in
the aggregate, the same number of Rights as the Right Certificate or Right
Certificates surrendered then represented. Any registered holder desiring to
transfer, split-up, combine or exchange any Right Certificate shall make such
request in writing delivered to the Rights Agent and shall surrender the Right
Certificate or Right Certificates to be transferred, split-up, combined or
exchanged at the office of the Rights Agent; PROVIDED, HOWEVER, that neither the
Rights Agent nor the Company shall be obligated to take any action whatsoever
with respect to the transfer of any Right Certificate surrendered for transfer
until the registered holder shall have completed and signed the certification
contained in the form of assignment on the reverse side of such Right
Certificate and shall have provided such additional evidence of the identity of
the Beneficial Owner (or former Beneficial Owner) or Affiliates or Associates
thereof as the Company shall reasonably request. Thereupon the Rights Agent
shall, subject to Sections 7(e) and 15, countersign and deliver to the Person
entitled thereto a Right Certificate or Right Certificates, as the case may be,
as so requested. The Company may require payment of a sum sufficient to cover
any tax or governmental charge that may be imposed in connection with any
transfer, split-up, combination or exchange of Right Certificates.

         (b) Upon receipt by the Company and the Rights Agent of evidence
reasonably satisfactory to them of the loss, theft, destruction or mutilation of
a valid Right Certificate, and, in case of loss, theft or destruction, of
indemnity or security reasonably satisfactory to them, and, at the Company's
request, reimbursement to the Company and the Rights Agent of all reasonable
expenses incidental thereto, and upon surrender to the Rights Agent and
cancellation of the Right Certificate if mutilated, the Company will make a new
Right Certificate of like tenor and deliver such new Right Certificate to the
Rights Agent for countersignature and delivery to the registered owner in lieu
of the Right Certificate so lost, stolen, destroyed or mutilated.

         (c) Notwithstanding any other provision hereof, the Company and the
Rights Agent may amend this Rights Agreement to provide for uncertificated
Rights in addition to or in place of Rights evidenced by Right Certificates.

         SECTION 7. EXERCISE OF RIGHTS; EXPIRATION DATE OF RIGHTS. (a) Subject
to Section 7(e) and except as otherwise provided herein (including Section 11),
each Right shall entitle the registered holder thereof, upon exercise thereof as
provided herein, to purchase for the Purchase Price, at any time after the
Distribution Date and at or prior to the earlier of (i) the Close of Business on
the 10th anniversary of the date of this Rights Agreement (the Close of Business
on such date being the "Expiration Date") or (ii) the Redemption Date, one
one-hundredth (1/100th) of a Preferred Share, subject to adjustment from time to
time as provided in Sections 11 and 12.

         (b) The registered holder of any Right Certificate may exercise the
Rights evidenced thereby (except as otherwise provided herein) in whole or in
part at any time after the Distribution Date, upon surrender of the Right
Certificate, with the form of election to purchase on the reverse side thereof
duly executed, to the Rights Agent at the office of the Rights Agent in
Brooklyn, New York, together with

                                       -8-

   11



payment of the Purchase Price for each one-hundredth (1/100th) of a Preferred
Share as to which the Rights are exercised, at or prior to the earlier of (i)
the Expiration Date or (ii) the Redemption Date.

         (c) Upon receipt of a Right Certificate representing exercisable
Rights, with the form of election to purchase duly executed, accompanied by
payment of the Purchase Price for the Preferred Shares to be purchased together
with an amount equal to any applicable transfer tax, in lawful money of the
United States of America, in cash or by certified check or money order payable
to the order of the Company, the Rights Agent shall thereupon (i) either (A)
promptly requisition from any transfer agent of the Preferred Shares (or make
available, if the Rights Agent is the transfer agent) certificates for the
number of Preferred Shares to be purchased and the Company hereby irrevocably
authorizes its transfer agent to comply with all such requests or (B) if the
Company shall have elected to deposit the Preferred Shares with a depositary
agent under a depositary arrangement, promptly requisition from the depositary
agent depositary receipts representing the number of one-hundredths (1/100ths)
of a Preferred Share to be purchased (in which case certificates for the
Preferred Shares to be represented by such receipts shall be deposited by the
transfer agent with the depositary agent) and the Company will direct the
depositary agent to comply with all such requests, (ii) when appropriate,
promptly requisition from the Company the amount of cash to be paid in lieu of
issuance of fractional shares in accordance with Section 15, (iii) promptly
after receipt of such certificates or depositary receipts, cause the same to be
delivered to or upon the order of the registered holder of such Right
Certificate, registered in such name or names as may be designated by such
holder and (iv) when appropriate, after receipt promptly deliver such cash to or
upon the order of the registered holder of such Right Certificate.

         (d) In case the registered holder of any Right Certificate shall
exercise fewer than all the Rights evidenced thereby, a new Right Certificate
evidencing Rights equivalent to the Rights remaining unexercised shall be issued
by the Rights Agent and delivered to the registered holder of such Right
Certificate or to his duly authorized assigns, subject to the provisions of
Section 15.

         (e) Notwithstanding anything in this Rights Agreement to the contrary,
any Rights that are at any time beneficially owned by an Acquiring Person or any
Affiliate or Associate of an Acquiring Person shall be null and void and
nontransferable, and any holder of any such Right (including any purported
transferee or subsequent holder) shall not have any right to exercise or
transfer any such Right.

         (f) Notwithstanding anything in this Rights Agreement to the contrary,
neither the Rights Agent nor the Company shall be obligated to undertake any
action with respect to a registered holder of any Right Certificates upon the
occurrence of any purported exercise as set forth in this Section 7 unless such
registered holder shall have (i) completed and signed the certificate contained
in the form of election to purchase set forth on the reverse side of the Right
Certificate surrendered for such exercise and (ii) provided such additional
evidence of the identity of the Beneficial Owner (or former Beneficial Owner) or
Affiliates or Associates thereof as the Company shall reasonably request.

         (g) The Company may temporarily suspend, for a period of time not to
exceed 90 calendar days after the Distribution Date, the exercisability of the
Rights in order to prepare and file a registration statement under the
Securities Act, on an appropriate form, with respect to the Preferred Shares
purchasable upon exercise of the Rights and permit such registration statement
to become effective; PROVIDED, HOWEVER, that no such suspension shall remain
effective after, and the Rights shall without any further action by the Company
or any other Person become exercisable immediately upon, the effectiveness of
such registration statement. Upon any such suspension, the Company shall issue a
public announcement stating that the exercisability of the Rights has been
temporarily suspended and shall issue a further public announcement at such time
as the suspension is no longer in effect. Notwithstanding any provision herein
to the contrary, the Rights shall not be exercisable in any jurisdiction if the
requisite qualification under the blue sky or

                                       -9-

   12



securities laws of such jurisdiction shall not have been obtained or the
exercise of the Rights shall not be permitted under applicable law.

         SECTION 8. CANCELLATION AND DESTRUCTION OF RIGHT CERTIFICATES. All
Right Certificates surrendered or presented for the purpose of exercise,
transfer, split-up, combination or exchange shall, and any Right Certificate
representing Rights that have become null and void and nontransferable pursuant
to Section 7(e) surrendered or presented for any purpose shall, if surrendered
or presented to the Company or to any of its agents, be delivered to the Rights
Agent for cancellation or in canceled form, or, if surrendered or presented to
the Rights Agent, shall be canceled by it, and no Right Certificates shall be
issued in lieu thereof except as expressly permitted by this Rights Agreement.
The Company shall deliver to the Rights Agent for cancellation and retirement,
and the Rights Agent shall so cancel and retire, any Right Certificate purchased
or acquired by the Company. The Rights Agent shall deliver all canceled Right
Certificates to the Company, or shall, at the written request of the Company,
destroy such canceled Right Certificates, and in such case shall deliver a
certificate of destruction thereof to the Company.

         SECTION 9. RESERVATION AND AVAILABILITY OF PREFERRED SHARES. (a) The
Company covenants and agrees that it will cause to be reserved and kept
available out of its authorized and unissued Preferred Shares or any authorized
and issued Preferred Shares held in its treasury, free from preemptive rights or
any right of first refusal, a number of Preferred Shares sufficient to permit
the exercise in full of all outstanding Rights.

         (b) In the event that there shall not be sufficient Preferred Shares
issued but not outstanding or authorized but unissued to permit the exercise or
exchange of Rights in accordance with Section 11, the Company covenants and
agrees that it will take all such action as may be necessary to authorize
additional Preferred Shares for issuance upon the exercise or exchange of Rights
pursuant to Section 11; PROVIDED, HOWEVER, that if the Company is unable to
cause the authorization of additional Preferred Shares, then the Company shall,
or in lieu of seeking any such authorization, the Company may, to the extent
necessary and permitted by applicable law and any agreements or instruments in
effect prior to the Distribution Date to which it is a party, (A) upon surrender
of a Right, pay cash equal to the Purchase Price in lieu of issuing Preferred
Shares and requiring payment therefor, (B) upon due exercise of a Right and
payment of the Purchase Price for each Preferred Share as to which such Right is
exercised, issue equity securities having a value equal to the value of the
Preferred Shares which otherwise would have been issuable pursuant to Section
11, which value shall be determined by a nationally recognized investment
banking firm selected by the Board of Directors of the Company or (C) upon due
exercise of a Right and payment of the Purchase Price for each Preferred Share
as to which such Right is exercised, distribute a combination of Preferred
Shares, cash and/or other equity and/or debt securities having an aggregate
value equal to the value of the Preferred Shares which otherwise would have been
issuable pursuant to Section 11, which value shall be determined by a nationally
recognized investment banking firm selected by the Board of Directors of the
Company. To the extent that any legal or contractual restrictions (pursuant to
agreements or instruments in effect prior to the Distribution Date to which it
is party) prevent the Company from paying the full amount payable in accordance
with the foregoing sentence, the Company shall pay to holders of the Rights as
to which such payments are being made all amounts which are not then restricted
on a pro rata basis as such payments become permissible under such legal or
contractual restrictions until such payments have been paid in full.

         (c) The Company covenants and agrees that it will take all such action
as may be necessary to ensure that all Preferred Shares delivered upon exercise
or exchange of Rights shall, at the time of delivery of the certificates for
such Preferred Shares (subject to payment of the Purchase Price), be duly and
validly authorized and issued and fully paid and nonassessable shares.


                                      -10-

   13



         (d) So long as the Preferred Shares issuable upon the exercise or
exchange of Rights are to be listed on any national securities exchange, the
Company covenants and agrees to use its best efforts to cause, from and after
such time as the Rights become exercisable or exchangeable, all Preferred Shares
reserved for such issuance to be listed on such securities exchange upon
official notice of issuance upon such exercise or exchange.

         (e) The Company further covenants and agrees that it will pay when due
and payable any and all Federal and state transfer taxes and charges which may
be payable in respect of the issuance or delivery of Right Certificates or of
any Preferred Shares or other securities upon the exercise or exchange of the
Rights. The Company shall not, however, be required to pay any transfer tax
which may be payable in respect of any transfer or delivery of Right
Certificates to a Person other than, or in respect of the issuance or delivery
of certificates for the Preferred Shares or other securities, as the case may
be, in a name other than that of, the registered holder of the Right Certificate
evidencing Rights surrendered for exercise or exchange or to issue or deliver
any certificates for Preferred Shares or other securities, as the case may be,
upon the exercise or exchange of any Rights until any such tax shall have been
paid (any such tax being payable by the holder of such Right Certificate at the
time of surrender) or until it has been established to the Company's
satisfaction that no such tax is due.

         SECTION 10. PREFERRED SHARES RECORD DATE. Each Person in whose name any
certificate for Preferred Shares or other securities is issued upon the exercise
or exchange of Rights shall for all purposes be deemed to have become the holder
of record of the Preferred Shares or other securities, as the case may be,
represented thereby on, and such certificate shall be dated, the date upon which
the Right Certificate evidencing such Rights was duly surrendered and payment of
any Purchase Price (and any applicable transfer taxes) was made; PROVIDED,
HOWEVER, that, if the date of such surrender and payment is a date upon which
the transfer books of the Company for the Preferred Shares or other securities,
as the case may be, are closed, such Person shall be deemed to have become the
record holder of such Preferred Shares or other securities, as the case may be,
on, and such certificate shall be dated, the next succeeding Business Day on
which the transfer books of the Company for the Preferred Shares or other
securities, as the case may be, are open.

         SECTION 11. ADJUSTMENTS IN RIGHTS AFTER THERE IS AN ACQUIRING PERSON;
EXCHANGE OF RIGHTS FOR SHARES; BUSINESS COMBINATIONS. (a) Upon a Person becoming
an Acquiring Person, proper provision shall be made so that each holder of a
Right, except as provided in Section 7(e), shall thereafter have a right to
receive, upon exercise thereof for the Purchase Price in accordance with the
terms of this Rights Agreement, such number of one-hundredths (1/100ths) of a
Preferred Share as shall equal the result obtained by multiplying the Purchase
Price by a fraction, the numerator of which is the number of one-hundredths
(1/100ths) of a Preferred Share for which a Right is then exercisable and the
denominator of which is 50% of the Market Value of the Common Stock on the date
on which a Person becomes an Acquiring Person. As soon as practicable after a
Person becomes an Acquiring Person (provided the Company shall not have elected
to make the exchange permitted by Section 11(b)(I) for all outstanding Rights),
the Company covenants and agrees to use its best efforts to:

                  (I) prepare and file a registration statement under the
Securities Act, on an appropriate form, with respect to the Preferred Shares
purchasable upon exercise of the Rights;

                  (II) cause such registration statement to become effective as
soon as practicable after such filing;

                  (III) cause such registration statement to remain effective
(with a prospectus at all times meeting the requirements of the Securities Act)
until the Expiration Date; and


                                      -11-

   14



                  (IV) qualify or register the Preferred Shares purchasable upon
exercise of the Rights under the blue sky or securities laws of such
jurisdictions as may be necessary or appropriate.

         (b) (I) The Board of Directors of the Company may, at its option, at
any time after a Person becomes an Acquiring Person, mandatorily exchange all or
part of the then outstanding and exercisable Rights (which shall not include
Rights that shall have become null and void and nontransferable pursuant to the
provisions of Section 7(e)) for consideration per Right consisting of one-half
of the securities that would be issuable at such time upon the exercise of one
Right in accordance with Section 11(a) or, if applicable, Section 9(b) (the
consideration issuable per Right pursuant to this Section 11(b)(I) being the
"Exchange Consideration"). The Board of Directors of the Company may, at its
option, issue, in substitution for Preferred Shares, shares of Common Stock in
an amount per Preferred Share equal to the Formula Number if there are
sufficient shares of Common Stock issued but not outstanding or authorized but
unissued. If the Board of Directors of the Company elects to exchange all the
Rights for Exchange Consideration pursuant to this Section 11(b)(I) prior to the
physical distribution of the Rights Certificates, the Corporation may distribute
the Exchange Consideration in lieu of distributing Right Certificates, in which
case for purposes of this Rights Agreement holders of Rights shall be deemed to
have simultaneously received and surrendered for exchange Right Certificates on
the date of such distribution.

                  (II) Any action of the Board of Directors of the Company
ordering the exchange of any Rights pursuant to Section 11(b)(I) shall be
irrevocable and, immediately upon the taking of such action and without any
further action and without any notice, the right to exercise any such Right
pursuant to Section 11(a) shall terminate and the only right thereafter of a
holder of such Right shall be to receive the Exchange Consideration in exchange
for each such Right held by such holder or, if the Exchange Consideration shall
not have been paid or issued, to exercise any such Right pursuant to Section
11(c)(I). The Company shall promptly give public notice of any such exchange;
PROVIDED, HOWEVER, that the failure to give, or any defect in, such notice shall
not affect the validity of such exchange. The Company promptly shall mail a
notice of any such exchange to all holders of such Rights at their last
addresses as they appear upon the registry books of the Rights Agent. Any notice
which is mailed in the manner herein provided shall be deemed given, whether or
not the holder receives the notice. Each such notice of exchange will state the
method by which the exchange of the Rights for the Exchange Consideration will
be effected and, in the event of any partial exchange, the number of Rights
which will be exchanged. Any partial exchange shall be effected pro rata based
on the number of Rights (other than Rights which shall have become null and void
and nontransferable pursuant to the provisions of Section 7(e)) held by each
holder of Rights.

         (c)      (I) In the event that, following a Distribution Date, directly
or indirectly, any transactions specified in the following clause (i), (ii) or
(iii) of this Section 11(c) (each such transaction being a "Business
Combination") shall be consummated:

                  (i) the Company shall consolidate with, or merge with and
         into, any Acquiring Person or any Affiliate or Associate of an
         Acquiring Person;

                  (ii) any Acquiring Person or any Affiliate or Associate of an
         Acquiring Person shall merge with and into the Company and, in
         connection with such merger, all or part of the Common Shares shall be
         changed into or exchanged for capital stock or other securities of the
         Company or of any Acquiring Person or Affiliate or Associate of an
         Acquiring Person or cash or any other property; or

                  (iii) the Company shall sell, lease, exchange or otherwise
         transfer or dispose of (or one or more of its Subsidiaries shall sell,
         lease, exchange or otherwise transfer or dispose of), in one or

                                      -12-

   15



         more transactions, the Major Part of the assets of the Company and its
         Subsidiaries (taken as a whole) to any Acquiring Person or any
         Affiliate or Associate of an Acquiring Person,

then, in each such case, proper provision shall be made so that each holder of a
Right, except as provided in Section 7(e), shall thereafter have the right to
receive, upon the exercise thereof for the Purchase Price in accordance with the
terms of this Rights Agreement, the securities specified below (or, at such
holder's option, the securities specified in Section 11(a)):

                  (A) If the Principal Party in such Business Combination has
         Registered Common Shares outstanding, each Right shall thereafter
         represent the right to receive, upon the exercise thereof for the
         Purchase Price in accordance with the terms of this Rights Agreement,
         such number of Registered Common Shares of such Principal Party, free
         and clear of all liens, encumbrances or other adverse claims, as shall
         have an aggregate Market Value equal to the result obtained by
         multiplying the Purchase Price by two;

                  (B) If the Principal Party involved in such Business
         Combination does not have Registered Common Shares outstanding, each
         Right shall thereafter represent the right to receive, upon the
         exercise thereof for the Purchase Price in accordance with the terms of
         this Rights Agreement, at the election of the holder of such Right at
         the time of the exercise thereof, any of:

                           (1) such number of Common Shares of the Surviving
                  Person in such Business Combination as shall have an aggregate
                  Book Value immediately after giving effect to such Business
                  Combination equal to the result obtained by multiplying the
                  Purchase Price by two;

                           (2) such number of Common Shares of the Principal
                  Party in such Business Combination (if the Principal Party is
                  not also the Surviving Person in such Business Combination) as
                  shall have an aggregate Book Value immediately after giving
                  effect to such Business Combination equal to the result
                  obtained by multiplying the Purchase Price by two; or

                           (3) if the Principal Party in such Business
                  Combination is an Affiliate of one or more Persons which has
                  Registered Common Shares outstanding, such number of
                  Registered Common Shares of whichever of such Affiliates of
                  the Principal Party has Registered Common Shares with the
                  greatest aggregate Market Value on the date of consummation of
                  such Business Combination as shall have an aggregate Market
                  Value on the date of such Business Combination equal to the
                  result obtained by multiplying the Purchase Price by two.

                  (II) The Company shall not consummate any Business Combination
unless each issuer of Common Shares for which Rights may be exercised, as set
forth in this Section 11(c), shall have sufficient authorized Common Shares that
have not been issued or reserved for issuance (and which shall, when issued upon
exercise thereof in accordance with this Rights Agreement, be validly issued,
fully paid and nonassessable and free of preemptive rights, rights of first
refusal or any other restrictions or limitations on the transfer or ownership
thereof) to permit the exercise in full of the Rights in accordance with this
Section 11(c) and unless prior thereto:

                  (i) a registration statement under the Securities Act on an
         appropriate form, with respect to the Rights and the Common Shares of
         such issuer purchasable upon exercise of the Rights, shall be effective
         under the Securities Act; and


                                      -13-

   16



                  (ii)     the Company and each such issuer shall have:

                           (A) executed and delivered to the Rights Agent a
                  supplemental agreement providing for the assumption by such
                  issuer of the obligations set forth in this Section 11(c)
                  (including the obligation of such issuer to issue Common
                  Shares upon the exercise of Rights in accordance with the
                  terms set forth in Sections 11(c)(I) and 11(c)(III)) and
                  further providing that such issuer, at its own expense, will
                  use its best efforts to:

                                    (1) cause a registration statement under the
                           Securities Act on an appropriate form, with respect
                           to the Rights and the Common Shares of such issuer
                           purchasable upon exercise of the Rights, to remain
                           effective (with a prospectus at all times meeting the
                           requirements of the Securities Act) until the
                           Expiration Date;

                                    (2) qualify or register the Rights and the
                           Common Shares of such issuer purchasable upon
                           exercise of the Rights under the blue sky or
                           securities laws of such jurisdictions as may be
                           necessary or appropriate; and

                                    (3) list the Rights and the Common Shares of
                           such issuer purchasable upon exercise of the Rights
                           on each national securities exchange on which the
                           Common Shares were listed prior to the consummation
                           of the Business Combination or, if the Common Shares
                           were not listed on a national securities exchange
                           prior to the consummation of the Business
                           Combination, on a national securities exchange;

                           (B) furnished to the Rights Agent a written opinion
                  of independent counsel stating that such supplemental
                  agreement is a valid, binding and enforceable agreement of
                  such issuer; and

                           (C) filed with the Rights Agent a certificate of a
                  nationally recognized firm of independent accountants setting
                  forth the number of Common Shares of such issuer which may be
                  purchased upon the exercise of each Right after the
                  consummation of such Business Combination.

                  (III) After consummation of any Business Combination and
subject to the provisions of Section 11(c)(II), (i) each issuer of Common Shares
for which Rights may be exercised as set forth in this Section 11(c) shall be
liable for, and shall assume, by virtue of such Business Combination, all the
obligations and duties of the Company pursuant to this Rights Agreement, (ii)
the term "Company" shall thereafter be deemed to refer to such issuer, (iii)
each such issuer shall take such steps in connection with such consummation as
may be necessary to assure that the provisions hereof (including the provisions
of Sections 11(a) and 11(c)) shall thereafter be applicable, as nearly as
reasonably may be, in relation to its Common Shares thereafter deliverable upon
the exercise of the Rights, and (iv) the number of Common Shares of each such
issuer thereafter receivable upon exercise of any Right shall be subject to
adjustment from time to time in a manner and on terms as nearly equivalent as
practicable to the provisions of Sections 11 and 12, and the provisions of
Section 7, 9 and 10 with respect to the Preferred Shares shall apply, as nearly
as reasonably may be, on like terms to any such Common Shares.

         SECTION 12. CERTAIN ADJUSTMENTS. (a) To preserve the actual or
potential economic value of the Rights, if at any time after the date of this
Rights Agreement there shall be any change in the Common Shares or the Preferred
Shares, whether by reason of stock dividends, stock splits, recapitalizations,
mergers, consolidations, combinations or exchanges of securities, split-ups,
split-offs, spin-offs, liquidations, other

                                      -14-

   17



similar changes in capitalization, any distribution or issuance of cash, assets,
evidences of indebtedness or subscription rights, options or warrants to holders
of Common Shares or Preferred Shares, as the case may be (other than
distribution of the Rights or regular quarterly cash dividends) or otherwise,
then, in each such event the Board of Directors of the Company shall make such
appropriate adjustments in the number of Preferred Shares (or the number and
kind of other securities) issuable upon exercise of each Right, the Purchase
Price and Redemption Price in effect at such time and the number of Rights
outstanding at such time (including the number of Rights or fractional Rights
associated with each Common Share) such that following such adjustment such
event shall not have had the effect of reducing or limiting the benefits the
holders of the Rights would have had absent such event.

         (b) If, as a result of an adjustment made pursuant to Section 12(a),
the holder of any Right thereafter exercised shall become entitled to receive
any securities other than Preferred Shares, thereafter the number of such
securities so receivable upon exercise of any Right shall be subject to
adjustment from time to time in a manner and on terms as nearly equivalent as
practicable to the provisions of Sections 11 and 12, and the provisions of
Sections 7, 9 and 10 with respect to the Preferred Shares shall apply, as nearly
as reasonably may be, on like term, to any such other securities.

         (c) All Rights originally issued by the Company subsequent to any
adjustment made to the amount of Preferred Shares or other securities relating
to a Right shall evidence the right to purchase, for the Purchase Price, the
adjusted number and kind of securities purchasable from time to time hereunder
upon exercise of the Rights, all subject to further adjustment as provided
herein.

         (d) Irrespective of any adjustment or change in the Purchase Price or
the number of Preferred Shares or number or kind of other securities issuable
upon the exercise of the Rights, the Right Certificates theretofore and
thereafter issued may continue to express the terms which were expressed in the
initial Right Certificates issued hereunder.

         (e) In any case in which action taken pursuant to Section 12(a)
requires that an adjustment be made effective as of a record date for a
specified event, the Company may elect to defer until the occurrence of such
event the issuing to the holder of any Right exercised after such record date
the Preferred Shares and/or other securities, if any, issuable upon such
exercise over and above the Preferred Shares and/or other securities, if any,
issuable before giving effect to such adjustment; PROVIDED, HOWEVER, that the
Company shall deliver to such holder a due bill or other appropriate instrument
evidencing such holder's right to receive such additional securities upon the
occurrence of the event requiring such adjustment.

         SECTION 13. CERTIFICATE OF ADJUSTMENT. Whenever an adjustment is made
as provided in Section 11 or 12, the Company shall (a) promptly prepare a
certificate setting forth such adjustment and a brief statement of the facts
accounting for such adjustment, (b) promptly file with the Rights Agent and with
each transfer agent for the Preferred Shares a copy of such certificate and (c)
mail a brief summary thereof to each holder of a Right Certificate (or, prior to
the Distribution Date, of the Common Shares) in accordance with Section 25. The
Rights Agent shall be fully protected in relying on any such certificate and on
any adjustment therein contained.

         SECTION 14. ADDITIONAL COVENANTS. (a) Notwithstanding any other
provision of this Rights Agreement, no adjustment to the number of Preferred
Shares (or fractions of a share) or other securities for which a Right is
exercisable or the number of Rights outstanding or associated with each Common
Share or any similar or other adjustment shall be made or be effective if such
adjustment would have the effect of reducing or limiting the benefits the
holders of the Rights would have had absent such adjustment, including, without
limitation, the benefits under Sections 11 and 12, unless the terms of this
Rights Agreement are amended so as to preserve such benefits.

                                      -15-

   18



         (b) The Company covenants and agrees that, after the Distribution Date,
except as permitted by Section 26, it will not take (or permit any Subsidiary of
the Company to take) any action if at the time such action is taken it is
intended or reasonably foreseeable that such action will reduce or otherwise
limit the benefits the holders of the Rights would have had absent such action,
including, without limitation, the benefits under Sections 11 and 12. Any action
taken by the Company during any period after any Person becomes an Acquiring
Person but prior to the Distribution Date shall be null and void unless such
action could be taken under this Section 14(b) from and after the Distribution
Date. The Company shall not consummate any Business Combination if any issuer of
Common Shares for which Rights may be exercised after such Business Combination
in accordance with Section 11(c) shall have taken any action that reduces or
otherwise limits the benefits the holders of the Rights would have had absent
such action, including, without limitation, the benefits under Sections 11 and
12.

         SECTION 15. FRACTIONAL RIGHTS AND FRACTIONAL SHARES. (a) The Company
may, but shall not be required to, issue fractions of Rights or distribute Right
Certificates which evidence fractional Rights. In lieu of such fractional
Rights, the Company may pay to the registered holders of the Right Certificates
with regard to which such fractional Rights would otherwise be issuable an
amount in cash equal to the same fraction of the current market value of a whole
Right. For purposes of this Section 15(a), the current market value of a whole
Right shall be the closing price of the Rights (as determined in a manner
similar to that of Common Stock pursuant to the second and third sentences of
the definition of Market Value contained in Section 1) for the Trading Day
immediately prior to the date on which such fractional Rights would have been
otherwise issuable.

         (b) The Company may, but shall not be required to, issue fractions of
Preferred Shares upon exercise of the Rights or distribute certificates which
evidence fractional Preferred Shares. In lieu of fractional Preferred Shares,
the Company may elect to (i) utilize a depository arrangement as provided by the
terms of the Preferred Shares or (ii) in the case of a fraction of a Preferred
Share (other than one one-hundredth (1/100th) of a Preferred Share or any
integral multiple thereof), pay to the registered holders of Right Certificates
at the time such Rights are exercised as herein provided an amount in cash equal
to the same fraction of the current market value of one Preferred Share, if any
are outstanding and publicly traded (or the Formula Number times the current
market value of one share of Common Stock if the Preferred Shares are not
outstanding and publicly traded). If, as a result of an adjustment made pursuant
to Section 12(a), the holder of any Right thereafter exercised shall become
entitled to receive any securities other than Preferred Shares, the provisions
of this Section 15(b) shall apply, as nearly as reasonably may be, on like terms
to such other securities.

         (c) The Company may, but shall not be required to, issue fractions of
shares of Common Stock upon exchange of Rights pursuant to Section 11(b), or to
distribute certificates which evidence fractional shares of Common Stock. In
lieu of such fractional shares of Common Stock, the Company may pay to the
registered holders of the Right Certificates with regard to which such
fractional shares of Common Stock would otherwise be issuable an amount in cash
equal to the same fraction of the current Market Value of one share of Common
Stock as of the date on which a Person became an Acquiring Person.

         (d) The holder of Rights by the acceptance of the Rights expressly
waives his right to receive any fractional Rights or any fractional shares upon
exercise of a Right except as provided in this Section 15.

         SECTION 16. RIGHTS OF ACTION. (a) All rights of action in respect of
this Rights Agreement are vested in the respective registered holders of the
Right Certificates (and, prior to the Distribution Date, the registered holders
of the Common Shares); and any registered holder of any Right Certificate (or,
prior to the Distribution Date, of the Common Shares), without the consent of
the Rights Agent or of the holder of any other Right Certificate (or, prior to
the Distribution Date, of the Common Shares) may, in his own behalf

                                      -16-

   19



and for his own benefit, enforce, and may institute and maintain any suit,
action or proceeding against the Company to enforce, or otherwise act in respect
of, his right to exercise the Rights evidenced by such Right Certificate in the
manner provided in such Right Certificate and in this Rights Agreement. Without
limiting the foregoing or any remedies available to the holders of Rights, it is
specifically acknowledged that the holders of Rights would not have an adequate
remedy at law for any breach of this Rights Agreement and shall be entitled to
specific performance of the obligations of any Person under, and injunctive
relief against actual or threatened violations of the obligations of any Person
subject to, this Rights Agreement.

         (b) Any holder of Rights who prevails in an action to enforce the
provisions of this Rights Agreement shall be entitled to recover the reasonable
costs and expenses, including attorneys' fees, incurred in such action.

         SECTION 17. TRANSFER AND OWNERSHIP OF RIGHTS AND RIGHT CERTIFICATES.
(a) Prior to the Distribution Date, the Rights will be transferable only in
connection with the transfer of the Common Shares.

         (b) After the Distribution Date, the Right Certificates will be
transferable, subject to Section 7(e), only on the registry books of the Rights
Agent if surrendered at the office of the Rights Agent, duly endorsed or
accompanied by a proper instrument of transfer.

         (c) The Company and the Rights Agent may deem and treat the Person in
whose name a Right Certificate (or, prior to the Distribution Date, the
associated Common Shares certificate) is registered as the absolute owner
thereof and of the Rights evidenced thereby (notwithstanding any notations of
ownership or writing on the Right Certificates or the associated certificate for
Common Shares made by anyone other than the Company or the Rights Agent) for all
purposes whatsoever, and neither the Company nor the Rights Agent shall be
affected by any notice to the contrary.

         SECTION 18. RIGHT CERTIFICATE HOLDER NOT DEEMED A STOCKHOLDER. No
holder, as such, of any Right Certificate shall be entitled to vote or receive
dividends or be deemed, for any purpose, the holder of the Preferred Shares or
of any other securities of the Company which may at any time be issuable on the
exercise of the Rights represented thereby, nor shall anything contained herein
or in any Right Certificate be construed to confer upon the holder of any Right
Certificate, as such, any of the rights of a stockholder of the Company,
including, without limitation, any right to vote for the election of directors
or upon any matter submitted to stockholders at any meeting thereof, or to give
or withhold consent to any corporate action, or to receive notice of meetings or
other actions affecting stockholders, or to receive dividends or other
distributions or subscription rights, or otherwise, until the Right or Rights
evidenced by such Right Certificate shall have been exercised in accordance with
the provisions hereof.

         SECTION 19. CONCERNING THE RIGHTS AGENT. (a) The Company agrees to pay
to the Rights Agent reasonable compensation for all services rendered by it
hereunder and from time to time, on demand of the Rights Agent, its reasonable
expenses and counsel fees and other disbursements incurred in the administration
and execution of this Rights Agreement and the exercise and performance of its
duties hereunder.

         (b) The Rights Agent shall be protected and shall incur no liability
for or in respect of any action taken, suffered or omitted by it in connection
with its administration of this Rights Agreement in reliance upon any Right
Certificate or certificate for the Common Shares or for other securities of the
Company, instrument of assignment or transfer, power of attorney, endorsement,
affidavit, letter, notice, direction, consent, certificate, statement, or other
paper or document believed by it to be genuine and to be signed, executed and,
where necessary, verified or acknowledged, by the proper Person or Persons.


                                      -17-

   20



         SECTION 20. MERGER OR CONSOLIDATION OR CHANGE OF RIGHTS AGENT. (a) Any
corporation into which the Rights Agent or any successor Rights Agent may be
merged or with which it may be consolidated, or any corporation resulting from
any merger or consolidation to which the Rights Agent or any successor Rights
Agent shall be a party, or any corporation succeeding to the stock transfer or
corporate trust business of the Rights Agent or any successor Rights Agent,
shall be the successor to the Rights Agent under this Rights Agreement without
the execution or filing of any paper or any further act on the part of any of
the parties hereto; PROVIDED that such corporation would be eligible for
appointment as a successor Rights Agent under the provisions of Section 22. In
case, at the time such successor Rights Agent shall succeed to the agency
created by this Rights Agreement, any of the Right Certificates shall have been
countersigned but not delivered, any such successor Rights Agent may adopt the
countersignature of the predecessor Rights Agent and deliver such Right
Certificates so countersigned; and, in case at that time any of the Right
Certificates shall not have been countersigned, any successor Rights Agent may
countersign such Right Certificates either in the name of the predecessor Rights
Agent or in the name of the successor Rights Agent; and in all such cases such
Right Certificates shall have the full force provided in the Right Certificates
and in this Rights Agreement.

         (b) In case at any time the name of the Rights Agent shall be changed
and at such time any of the Right Certificates shall have been countersigned but
not delivered, the Rights Agent may adopt the countersignature under its prior
name and deliver Right Certificates so countersigned; and, in case at that time
any of the Right Certificates shall not have been countersigned, the Rights
Agent may countersign such Right Certificates either in its prior name or in its
changed name; and in all such cases such Right Certificates shall have the full
force provided in the Right Certificates and in this Rights Agreement.

         SECTION 21. DUTIES OF RIGHTS AGENT. The Rights Agent undertakes the
duties and obligations imposed by this Rights Agreement upon the following terms
and conditions, by all of which the Company and the holders of Right
Certificates (or, prior to the Distribution Date, of the Common Shares), by
their acceptance thereof, shall be bound:

         (a) The Rights Agent may consult with legal counsel (who may be legal
counsel for the Company), and the advice or opinion of such counsel shall be
full and complete authorization and protection to the Rights Agent as to any
action taken, suffered or omitted by it in good faith and in accordance with
such advice or opinion.

         (b) Whenever in the performance of its duties under this Rights
Agreement the Rights Agent shall deem it necessary or desirable that any fact or
matter (including, without limitation, the identity of any Acquiring Person) be
proved or established by the Company prior to taking, refraining from taking or
suffering any action hereunder, such fact or matter (unless other evidence in
respect thereof be herein specifically prescribed) may be deemed to be
conclusively proved and established by a certificate signed by any one of the
Chairman of the Board, the Chief Executive Officer, the President, the Chief
Operating Officer, the Chief Financial Officer, the Treasurer, a Vice President
(whether preceded by any additional title) or the Clerk of the Company and
delivered to the Rights Agent; and such certificate shall be full authorization
to the Rights Agent for any action taken or suffered in good faith by it under
the provisions of this Rights Agreement in reliance upon such certificate.

         (c) The Rights Agent shall be liable hereunder only for its own gross
negligence, bad faith or wilful misconduct.

         (d) The Rights Agent shall not be liable for or by reason of any of the
statements of fact or recitals contained in this Rights Agreement or in the
Right Certificates (except as to its countersignature

                                      -18-

   21



thereof) or be required to verify the same, but all such statements and recitals
are and shall be deemed to have been made by the Company only.

         (e) The Rights Agent shall not be under any responsibility in respect
of the validity of this Rights Agreement or the execution and delivery hereof
(except the due execution hereof by the Rights Agent) or in respect of the
validity or execution of any Right Certificate (except its countersignature
thereof); nor shall it be responsible for any breach by the Company of any
covenant or condition contained in this Rights Agreement or in any Right
Certificate; nor shall it be responsible for any adjustment required under the
provisions of Section 11 or 12 or responsible for the manner, method or amount
of any such adjustment or the ascertaining of the existence of facts that would
require any such adjustment (except with respect to the exercise of Rights
evidenced by Right Certificates after actual notice of any such adjustment); nor
shall it by any act hereunder be deemed to make any representation or warranty
as to the authorization or reservation of any Preferred Shares or Common Shares
to be issued pursuant to this Rights Agreement or any Right Certificate or as to
whether any Preferred Shares or Common Shares will, when so issued, be validly
authorized and issued, fully paid and nonassessable.

         (f) The Company agrees that it will perform, execute, acknowledge and
deliver or cause to be performed, executed, acknowledged and delivered all such
further and other acts, instruments and assurances as may reasonably be required
by the Rights Agent for the carrying out or performing by the Rights Agent of
the provisions of this Rights Agreement.

         (g) The Rights Agent is hereby authorized and directed to accept
instructions with respect to the performance of its duties hereunder from any
one of the Chief Executive Officer, the President, the Chief Financial Officer,
the Treasurer, a Vice President (whether preceded by any additional title) or
the Secretary of the Company, in connection with its duties and it shall not be
liable for any action taken or suffered to be taken by it in good faith in
accordance with instructions of any such officer.

         (h) The Rights Agent and any stockholder, director, officer or employee
of the Rights Agent may buy, sell or deal in any of the Rights or other
securities of the Company or become pecuniarily interested in any transaction in
which the Company may be interested, or contract with or lend money to the
Company or otherwise act as fully and freely as though it were not the Rights
Agent under this Rights Agreement. Nothing herein shall preclude the Rights
Agent from acting in any other capacity for the Company or for any other legal
entity.

         (i) The Rights Agent may execute and exercise any of the rights or
powers hereby vested in it or perform any duty hereunder either itself or by or
through its attorneys or agents, and the Rights Agent shall not be answerable or
accountable for any act, default, neglect or misconduct of any such attorneys or
agents or for any loss to the Company resulting from any such act, default,
neglect or misconduct provided reasonable care was exercised in the selection
and continued employment thereof.

         (j) The Company agrees to indemnify and to hold the Rights Agent
harmless against any loss, liability, damage or expense (including reasonable
fees and expenses of legal counsel) which the Rights Agent may incur resulting
from its actions as Rights Agent pursuant to this Rights Agreement; PROVIDED,
HOWEVER, that the Rights Agent shall not be indemnified or held harmless with
respect to any such loss, liability, damage or expense incurred by the Rights
Agent as a result of, or arising out of, its own gross negligence, bad faith or
wilful misconduct. In no case shall the Company be liable with respect to any
action, proceeding, suit or claim against the Rights Agent unless the Rights
Agent shall have notified the Company, by letter or by facsimile confirmed by
letter, of the assertion of any action, proceeding, suit or claim against the
Rights Agent, promptly after the Rights Agent shall have notice of any such
assertion of an action, proceeding, suit or claim or have been served with the
summons or other first legal process giving

                                      -19-

   22



information as to the nature and basis of the action, proceeding, suit or claim.
The Company shall be entitled to participate at its own expense in the defense
of any such action, proceeding, suit or claim, and, if the Company so elects,
the Company shall assume the defense of any such action, proceeding, suit or
claim. In the event that the Company assumes such defense, the Company shall not
thereafter be liable for the fees and expenses of any additional counsel
retained by the Rights Agent, so long as the Company shall retain counsel
satisfactory to the Rights Agent, in the exercise of its reasonable judgment, to
defend such action, proceeding, suit or claim. The Rights Agent agrees not to
settle any litigation in connection with any action, proceeding, suit or claim
with respect to which it may seek indemnification from the Company without the
prior written consent of the Company.

         SECTION 22. CHANGE OF RIGHTS AGENT. The Rights Agent or any successor
Rights Agent may resign and be discharged from its duties under this Rights
Agreement upon 30 days' notice in writing mailed to the Company and to each
transfer agent of the Common Shares and the Preferred Shares by registered or
certified mail, and to the holders of the Right Certificates (or, prior to the
Distribution Date, of the Common Shares) by first-class mail, postage prepaid.
The Company may remove the Rights Agent or any successor Rights Agent upon 30
days' notice in writing, mailed to the Rights Agent or successor Rights Agent,
as the case may be, and to each transfer agent of the Common Shares and the
Preferred Shares by registered or certified mail, and to the holders of the
Right Certificates (or, prior to the Distribution Date, of the Common Shares) by
first-class mail. If the Rights Agent shall resign or be removed or shall
otherwise become incapable of acting, the Company shall appoint a successor to
the Rights Agent. If the Company shall fail to make such appointment within a
period of 30 days after giving notice of such removal or after it has been
notified in writing of such resignation or incapacity by the resigning or
incapacitated Rights Agent or by the holder of a Right Certificate (or, prior to
the Distribution Date, of the Common Shares) (who shall, with such notice,
submit his Right Certificate or, prior to the Distribution Date, the certificate
representing his Common Shares, for inspection by the Company), then the
registered holder of any Right Certificate (or, prior to the Distribution Date,
of the Common Shares) may apply to any court of competent jurisdiction for the
appointment of a new Rights Agent. Any successor Rights Agent, whether appointed
by the Company or by such a court, shall be a corporation organized and doing
business under the laws of the United States or of any state of the United
States, in good standing, which is authorized under such laws to exercise stock
transfer or corporate trust powers and is subject to supervision or examination
by Federal or state authority and which has at the time of its appointment as
Rights Agent a combined capital and surplus of at least $50,000,000; PROVIDED
that the principal transfer agent for the Common Shares shall in any event be
qualified to be the Rights Agent. After appointment, the successor Rights Agent
shall be vested with the same powers, rights, duties and responsibilities as if
it had been originally named as Rights Agent without further act or deed; but
the predecessor Rights Agent shall deliver and transfer to the successor Rights
Agent any property at the time held by it hereunder, and execute and deliver any
further assurance, conveyance, act or deed necessary for the purpose. Not later
than the effective date of any such appointment, the Company shall file notice
thereof in writing with the predecessor Rights Agent and each transfer agent of
the Common Shares and the Preferred Shares, and mail a notice thereof in writing
to the registered holders of the Right Certificates (or, prior to the
Distribution Date, of the Common Shares). Failure to give any notice provided
for in this Section 22, however, or any defect therein shall not affect the
legality or validity of the resignation or removal of the Rights Agent or the
appointment of the successor Rights Agent, as the case may be.

         SECTION 23. ISSUANCE OF ADDITIONAL RIGHTS AND RIGHT CERTIFICATES.
Notwithstanding any of the provisions of this Rights Agreement or of the Rights
to the contrary, the Company may, at its option, issue new Right Certificates
evidencing Rights in such form as may be approved by its Board of Directors to
reflect any adjustment or change made in accordance with the provisions of this
Rights Agreement. In addition, in connection with the issuance or sale of Common
Shares following the Distribution Date and prior to the earlier of the
Redemption Date and the Expiration Date, the Company (a) shall, with respect to
Common Shares so issued or sold pursuant to the exercise of stock options or
under any employee plan or

                                      -20-

   23



arrangement, or upon the exercise, conversion or exchange of securities, notes
or debentures issued by the Company, and (b) may, in any other case, if deemed
necessary or appropriate by its Board of Directors, issue Right Certificates
representing the appropriate number of Rights in connection with such issuance
or sale; PROVIDED, HOWEVER, that (i) no such Right Certificate shall be issued
if, and to the extent that, the Company shall be advised by counsel that such
issuance would create a significant risk of material adverse tax consequences
to the Company or the Person to whom such Right Certificate would be issued, and
(ii) no such Right Certificate shall be issued if, and to the extent that,
appropriate adjustment shall otherwise have been made in lieu of the issuance
thereof.

         SECTION 24. REDEMPTION AND TERMINATION. (a) The Board of Directors of
the Company may, at its option, at any time prior to the earlier of (i) such
time as a Person becomes an Acquiring Person and (ii) the Expiration Date, order
the redemption of all, but not fewer than all, the then outstanding Rights at
the Redemption Price (the date of such redemption being the "Redemption Date"),
and the Company, at its option, may pay the Redemption Price either in cash or
Common Shares or other securities of the Company deemed by the Board of
Directors of the Company, in the exercise of its sole discretion, to be at least
equivalent in value to the Redemption Price.

         (b) Immediately upon the action of the Board of Directors of the
Company ordering the redemption of the Rights, and without any further action
and without any notice, the right to exercise the Rights will terminate and the
only right thereafter of the holders of Rights shall be to receive the
Redemption Price. Within 10 Business Days after the action of the Board of
Directors of the Company ordering the redemption of the Rights, the Company
shall give notice of such redemption to the holders of the then outstanding
Rights by mailing such notice to all such holders at their last addresses as
they appear upon the registry books of the Rights Agent or, prior to the
Distribution Date, on the registry books of the transfer agent for the Common
Shares. Each such notice of redemption will state the method by which payment of
the Redemption Price will be made. The notice, if mailed in the manner herein
provided, shall be conclusively presumed to have been duly given, whether or not
the holder of Rights receives such notice. In any case, failure to give such
notice by mail, or any defect in the notice, to any particular holder of Rights
shall not affect the sufficiency of the notice to other holders of Rights.

         SECTION 25. NOTICES. Notices or demands authorized by this Rights
Agreement to be given or made by the Rights Agent or by the holder of a Right
Certificate (or, prior to the Distribution Date, of the Common Shares) to or on
the Company shall be sufficiently given or made if sent by first-class mail,
postage prepaid, addressed (until another address is filed in writing with the
Rights Agent) as follows:

                  Aspen Technology, Inc.
                  Ten Canal Park
                  Cambridge, MA 02141
                  Attention of Chief Executive Officer

Subject to the provisions of Section 22, any notice or demand authorized by this
Rights Agreement to be given or made by the Company or by the holder of a Right
Certificate (or, prior to the Distribution Date, of the Common Shares) to or on
the Rights Agent shall be sufficiently given or made if sent by first-class
mail, postage prepaid, addressed (until another address is filed in writing with
the Company) as follows:

                  American Stock Transfer and Trust Company
                  6201 15th Avenue, 3rd Floor
                  Brooklyn, New York  11219
                  Attention of Vice President, Administration


                                      -21-

   24



Notices or demands authorized by this Rights Agreement to be given or made by
the Company or the Rights Agent to any holder of a Right Certificate (or, prior
to the Distribution Date, of the Common Shares) shall be sufficiently given or
made if sent by first-class mail, postage prepaid, addressed to such holder at
the address of such holder as shown on the registry books of the Rights Agent
or, prior to the Distribution Date, on the registry books of the transfer agent
for the Common Shares.

         SECTION 26. SUPPLEMENTS AND AMENDMENTS. At any time prior to the
Distribution Date and subject to the last sentence of this Section 26, the
Company may, and the Rights Agent shall if the Company so directs, supplement or
amend any provision of this Rights Agreement (including, without limitation, the
date on which the Distribution Date shall occur, the time during which the
Rights may be redeemed pursuant to Section 24 or any provision of the
Certificate of Designation) without the approval of any holder of the Rights.
From and after the Distribution Date and subject to applicable law, the Company
may, and the Rights Agent shall if the Company so directs, amend this Rights
Agreement without the approval of any holders of Right Certificates (i) to cure
any ambiguity or to correct or supplement any provision contained herein which
may be defective or inconsistent with any other provision of this Rights
Agreement or (ii) to make any other provisions in regard to matters or questions
arising hereunder which the Company may deem necessary or desirable and which
shall not adversely affect the interests of the holders of Right Certificates
(other than an Acquiring Person or an Affiliate or Associate of an Acquiring
Person). Any supplement or amendment adopted during any period after any Person
has become an Acquiring Person but prior to the Distribution Date shall be null
and void unless such supplement or amendment could have been adopted under the
prior sentence from and after the Distribution Date. Any supplement or amendment
to this Rights Agreement duly approved by the Company that does not amend
Sections 19, 20, 21 or 22 in a manner adverse to the Rights Agent shall become
effective immediately upon execution by the Company, whether or not also
executed by the Rights Agent. In addition, notwithstanding anything to the
contrary contained in this Rights Agreement, no supplement or amendment to this
Rights Agreement shall be made which (a) reduces the Redemption Price (except as
required by Section 12(a)) or (b) provides for an earlier Expiration Date.

         SECTION 27. SUCCESSORS. All the covenants and provisions of this Rights
Agreement by or for the benefit of the Company or the Rights Agent shall bind
and inure to the benefit of their respective successors and assigns hereunder.

         SECTION 28. BENEFITS OF RIGHTS AGREEMENT; DETERMINATIONS AND ACTIONS BY
THE BOARD OF DIRECTORS, ETC. (a) Nothing in this Rights Agreement shall be
construed to give to any Person other than the Company, the Rights Agent and the
registered holders of the Right Certificates (and, prior to the Distribution
Date, of the Common Shares) any legal or equitable right, remedy or claim under
this Rights Agreement; but this Rights Agreement shall be for the sole and
exclusive benefit of the Company, the Rights Agent and the registered holders of
the Right Certificates (and, prior to the Distribution Date, of the Common
Shares).

         (b) Except as explicitly otherwise provided in this Rights Agreement,
the Board of Directors of the Company shall have the exclusive power and
authority to administer this Rights Agreement and to exercise all rights and
powers specifically granted to the Board of Directors of the Company or to the
Company, or as may be necessary or advisable in the administration of this
Rights Agreement, including, without limitation, the right and power to (i)
interpret the provisions of this Rights Agreement and (ii) make all
determinations deemed necessary or advisable for the administration of this
Rights Agreement (including, without limitation, a determination to redeem or
not redeem the Rights or to amend this Rights Agreement and a determination of
whether there is an Acquiring Person).

         (c) Nothing contained in this Rights Agreement shall be deemed to be in
derogation of the obligation of the Board of Directors of the Company to
exercise its fiduciary duty. Without limiting the foregoing, nothing contained
herein shall be construed to suggest or imply that the Board of Directors shall

                                      -22-

   25



not be entitled to reject any tender offer, or to recommend that holders of
Common Shares reject any tender offer, or to take any other action (including,
without limitation, the commencement, prosecution, defense or settlement of any
litigation and the submission of additional or alternative offers or other
proposals) with respect to any tender offer that the Board of Directors believes
is necessary or appropriate in the exercise of such fiduciary duty.

         SECTION 29. SEVERABILITY. If any term, provision, covenant or
restriction of this Rights Agreement is held by a court of competent
jurisdiction or other authority to be invalid, void or unenforceable, the
remainder of the terms, provisions, covenants and restrictions of this Rights
Agreement shall remain in full force and effect and shall in no way be affected,
impaired or invalidated.

         SECTION 30. GOVERNING LAW. This Rights Agreement and each Right
Certificate issued hereunder shall be deemed to be a contract made under the
laws of the State of Delaware and for all purposes shall be governed by and
construed in accordance with the law of such state applicable to contracts to be
made and performed entirely within such state.

         SECTION 31. COUNTERPARTS; EFFECTIVENESS. This Rights Agreement may be
executed in any number of counterparts and each of such counterparts shall for
all purposes be deemed to be an original, and all such counterparts shall
together constitute but one and the same instrument. This Rights Agreement shall
be effective as of the Close of Business on the date hereof.

         SECTION 32. DESCRIPTIVE HEADINGS. Descriptive headings of the several
Sections of this Rights Agreement are inserted for convenience only and shall
not control or affect the meaning or construction of any of the provisions of
this Rights Agreement.

         IN WITNESS WHEREOF, the parties hereto have caused this Rights
Agreement to be duly executed as of the day and year first above written.

                                         ASPEN TECHNOLOGY, INC.



                                         By:/s/ LAWRENCE B. EVANS
                                            ------------------------------------
                                         Name: Lawrence B. Evans
                                         Title:Chief Executive Officer

                                         AMERICAN STOCK TRANSFER AND TRUST
                                         COMPANY, as Rights Agent


                                         By:/s/ HERBERT J. LEMMER
                                            ------------------------------------
                                         Name: Herbert J. Lemmer
                                         Title:Vice President


                                      -23-

   26



                                                                       EXHIBIT A


                           CERTIFICATE OF DESIGNATION
                                       OF
                SERIES A PARTICIPATING CUMULATIVE PREFERRED STOCK


      SECTION 1.  DESIGNATION AND NUMBER OF SHARES

      The shares of this series of Preferred Stock shall be designated as Series
A participating cumulative preferred stock, $.10 par value per share ("Series A
Preferred Stock"). The number of shares initially constituting the Series A
Preferred Stock shall be 400,000; provided, however, that, if more than a total
of 400,000 shares of Series A Preferred Stock shall be issuable upon the
exercise of Rights (the "Rights") issued pursuant to the Rights Agreement dated
as of March 11, 1998, between the Corporation and American Stock Transfer and
Trust Company, a limited power banking trust company licensed by the New York
State Banking Authority, as Rights Agent (the "Rights Agreement"), the board of
directors, pursuant to Section 151(g) of the General Corporation Law of the
State of Delaware, shall direct by resolution or resolutions that a certificate
be properly executed, acknowledged, filed and recorded, in accordance with the
provisions of Section 103 thereof, providing for the total number of shares of
Series A Preferred Stock authorized to be issued to be increased (to the extent
that the Certificate of Incorporation then permits) to the largest number of
whole shares (rounded up to the nearest whole number) issuable upon exercise of
such Rights.

      SECTION 2.  DIVIDENDS OR DISTRIBUTIONS

      (a) Subject to the prior and superior rights of holders of shares of any
other series of Preferred Stock or other class of capital stock of the
Corporation ranking prior and superior to the shares of Series A Preferred Stock
with respect to dividends, holders of Series A Preferred Stock shall be entitled
to receive, when, as and if declared by the board of directors, out of the
assets of the Corporation legally available therefor, (i) quarterly dividends
payable in cash on the last day of each fiscal quarter in each year, or such
other dates as the board of directors of the Corporation shall approve (each
such date being referred to herein as a "Quarterly Dividend Payment Date"),
commencing on the first Quarterly Dividend Payment Date after the first issuance
of a share or a fraction of a share of Series A Preferred Stock, in the amount
of $1.00 per whole share (rounded to the nearest cent) less the amount of all
cash dividends declared on the Series A Preferred Stock pursuant to the
following clause (ii) since the immediately preceding Quarterly Dividend Payment
Date or, with respect to the first Quarterly Dividend Payment Date, since the
first issuance of any share or fraction of a share of Series A Preferred Stock
(the total of which shall not, in any event, be less than zero) and (ii)
dividends payable in cash on the payment date for each cash dividend declared on
the Corporation's common stock, $.10 par value per share ("Common Stock"), in an
amount per whole share (rounded to the nearest cent) equal to the Formula Number
(as hereinafter defined) then in effect times the cash dividends then to be paid
on each share of Common Stock. In addition, if the Corporation shall pay any
dividend or make any distribution on the Common Stock payable in assets,
securities or other forms of noncash consideration (other than dividends or
distributions solely in shares of Common Stock), then, in each such case, the
Corporation shall simultaneously pay or make on each outstanding whole share of
Series A Preferred Stock a dividend or distribution in like kind equal to the
Formula Number then in effect times such dividend or distribution on each share
of the Common Stock. As used herein, the "Formula Number" shall be 100;
provided, however, that if at any time on or after March 13, 1998, the
Corporation shall (i) declare or pay any dividend on the Common Stock payable in
shares of Common Stock or make any

                                       A-1

   27



distribution on the Common Stock in shares of Common Stock, (ii) subdivide (by a
stock split or otherwise) the outstanding shares of Common Stock into a larger
number of shares of Common Stock or (iii) combine (by a reverse stock split or
otherwise) the outstanding shares of Common Stock into a smaller number of
shares of Common Stock, then in each such event the Formula Number shall be
adjusted to a number determined by multiplying the Formula Number in effect
immediately prior to such event by a fraction, the numerator of which is the
number of shares of Common Stock that are outstanding immediately after such
event and the denominator of which is the number of shares of Common Stock that
are outstanding immediately prior to such event (and rounding the result to the
nearest whole number); and provided further that, if at any time on or after
March 13, 1998, the Corporation shall issue any shares of its capital stock in a
merger, reclassification, or change of the outstanding shares of Common Stock
then in each such event the Formula Number shall be appropriately adjusted to
reflect such merger, reclassification or change so that each share of Series A
Preferred Stock continues to be the economic equivalent of a Formula Number of
shares of Common Stock prior to such merger, reclassification or change.

      (b) The Corporation shall declare a dividend or distribution on the Series
A Preferred Stock as provided in Section 2(a) immediately prior to or at the
same time it declares a dividend or distribution on the Common Stock (other than
a dividend or distribution solely in shares of Common Stock); provided, however,
that, in the event no dividend or distribution (other than a dividend or
distribution in shares of Common Stock) shall have been declared on the Common
Stock during the period between any Quarterly Dividend Payment Date and the next
subsequent Quarterly Dividend Payment Date, a dividend of $1.00 per share on the
Series A Preferred Stock shall nevertheless be payable on such subsequent
Quarterly Dividend Payment Date. The board of directors may fix a record date
for the determination of holders of Series A Preferred Stock entitled to receive
a dividend or distribution declared thereon, which record date shall be the same
as the record date for any corresponding dividend or distribution on Common
Stock.

      (c) Dividends shall begin to accrue and be cumulative on outstanding
shares of Series A Preferred Stock from and after the Quarterly Dividend Payment
Date next preceding the date of original issue of such shares of Series A
Preferred Stock; provided, however, that dividends on such shares which are
originally issued after the record date for the determination of holders of
shares of Series A Preferred Stock entitled to receive a quarterly dividend and
on or prior to the next succeeding Quarterly Dividend Payment Date shall begin
to accrue and be cumulative from and after such Quarterly Dividend Payment Date.
Notwithstanding the foregoing, dividends on shares of Series A Preferred Stock
that are originally issued prior to the record date for the determination of
holders of shares of Series A Preferred Stock entitled to receive a quarterly
dividend on the first Quarterly Dividend Payment Date shall be calculated as if
cumulative from and after the last day of the fiscal quarter next preceding the
date of original issuance of such shares. Accrued but unpaid dividends shall not
bear interest. Dividends paid on the shares of Series A Preferred Stock in an
amount less than the total amount of such dividends at the time accrued and
payable on such shares shall be allocated pro rata on a share-by-share basis
among all such shares at the time outstanding.

      (d) So long as any shares of Series A Preferred Stock are outstanding, no
dividends or other distributions shall be declared, paid or distributed, or set
aside for payment or distribution, on Common Stock unless, in each case, the
dividend required by this Section 2 to be declared on Series A Preferred Stock
shall have been declared.

      (e) Holders of Series A Preferred Stock shall not be entitled to receive
any dividends or other distributions except as provided herein.


                                       A-2

   28



      SECTION 3.  VOTING RIGHTS

      Holders of Series A Preferred Stock shall have the following voting
rights:

      (a) Each holder of Series A Preferred Stock shall be entitled to a number
of votes equal to the Formula Number then in effect, for each share of Series A
Preferred Stock held of record on each matter on which holders of Common Stock
or stockholders generally are entitled to vote, multiplied by the maximum number
of votes per share which any holder of Common Stock or stockholders generally
then have with respect to such matter (assuming any holding period or other
requirement to vote a greater number of shares is satisfied).

      (b) Except as otherwise provided herein or by applicable law, holders of
Series A Preferred Stock and holders of Common Stock shall vote together as one
class for the election of directors and on all other matters submitted to a vote
of stockholders of the Corporation.

      (c) If, at the time of any annual meeting of stockholders for the election
of directors, the equivalent of six quarterly dividends (whether or not
consecutive) payable on any share or shares of Series A Preferred Stock are in
default, the number of directors constituting the board of directors of the
Corporation shall be increased by two. In addition to voting together with
holders of Common Stock for the election of other directors of the Corporation,
holders of Series A Preferred Stock, voting separately as a class, shall be
entitled at said meeting of stockholders (and at each subsequent annual meeting
of stockholders), unless all dividends in arrears have been paid or declared and
set apart for payment prior thereto, to vote for the election of two directors,
the holders of Series A Preferred Stock being entitled to cast a number of votes
per share of Series A Preferred Stock equal to the Formula Number. Until the
default in payments of all dividends which permitted the election of said
directors shall cease to exist, any director who shall have been so elected
pursuant to the next preceding sentence may be removed at any time, either with
or without cause, only by the affirmative vote of holders of Series A Preferred
Stock at the time entitled to cast a majority of the votes entitled to be cast
for the election of any such director at a special meeting of such holders
called for that purpose, and any vacancy thereby created may be filled by the
vote of such holders. If and when such default shall cease to exist, holders of
Series A Preferred Stock shall be divested of the foregoing special voting
rights, subject to revesting in the event of each and every subsequent like
default in payments of dividends. Upon the termination of the foregoing special
voting rights, the terms of office of all persons who may have been elected
directors pursuant to said special voting rights shall forthwith terminate, and
the number of directors constituting the board of directors shall be reduced by
two. The voting rights granted by this Section 3(c) shall be in addition to any
other voting rights granted to holders of Series A Preferred Stock in this
Section 3.

      (d) Except as provided herein, in Section 11 or by applicable law, holders
of Series A Preferred Stock shall have no special voting rights and their
consent shall not be required (except to the extent they are entitled to vote
with holders of Common Stock as set forth herein) for authorizing or taking any
corporate action.

      SECTION 4.  CERTAIN RESTRICTIONS

      (a) Whenever quarterly dividends or other dividends or distributions
payable on the Series A Preferred Stock as provided in Section 2 are in arrears,
thereafter and until all accrued and unpaid dividends and distributions, whether
or not declared, on shares of Series A Preferred Stock outstanding shall have
been paid in full, the Corporation shall not


                                       A-3

   29



            (i) declare or pay dividends on, make any other distributions on, or
      redeem or purchase or otherwise acquire for consideration any shares of
      capital stock ranking junior (either as to dividends or upon liquidation,
      dissolution or winding up) to the Series A Preferred Stock;

            (ii) declare or pay dividends on or make any other distributions on
      any shares of capital stock ranking on a parity (either as to dividends or
      upon liquidation, dissolution or winding up) with the Series A Preferred
      Stock, except dividends paid ratably on the Series A Preferred Stock and
      all such parity capital stock on which dividends are payable or in arrears
      in proportion to the total amounts to which the holders of all such shares
      are then entitled;

            (iii) redeem or purchase or otherwise acquire for consideration
      shares of any capital stock ranking on a parity (either as to dividends or
      upon liquidation, dissolution or winding up) with the Series A Preferred
      Stock; provided that the Corporation may at any time redeem, purchase or
      otherwise acquire shares of any such parity capital stock in exchange for
      shares of any capital stock of the Corporation ranking junior (either as
      to dividends or upon dissolution, liquidation or winding up) to the Series
      A Preferred Stock; or

            (iv) purchase or otherwise acquire for consideration any shares of
      Series A Preferred Stock, or any shares of capital stock ranking on a
      parity with the Series A Preferred Stock, except in accordance with a
      purchase offer made in writing or by publication (as determined by the
      board of directors) to all holders of such shares upon such terms as the
      board of directors, after consideration of the respective annual dividend
      rates and other relative rights and preferences of the respective series
      and classes, shall determine in good faith will result in fair and
      equitable treatment among the respective series or classes.

      (b) The Corporation shall not permit any subsidiary of the Corporation to
purchase or otherwise acquire for consideration any shares of capital stock of
the Corporation unless the Corporation could, under paragraph (a) of this
Section 4, purchase or otherwise acquire such shares at such time and in such
manner.

      SECTION 5.  LIQUIDATION RIGHTS

      Upon the liquidation, dissolution or winding up of the Corporation,
whether voluntary or involuntary, no distribution shall be made (a) to holders
of shares of capital stock ranking junior (either as to dividends or upon
liquidation, dissolution or winding up) to the Series A Preferred Stock unless,
prior thereto, the holders of Series A Preferred Stock shall have received an
amount equal to the accrued and unpaid dividends and distributions thereon,
whether or not declared, to the date of such payment, plus an amount equal to
the greater of (i) $10.00 per whole share and (ii) an aggregate amount per share
equal to the Formula Number then in effect multiplied by the aggregate amount to
be distributed per share to holders of Common Stock or (ii) to the holders of
capital stock ranking on a parity (either as to dividends or upon liquidation,
dissolution or winding up) with the Series A Preferred Stock, except
distributions made ratably on the Series A Preferred Stock and all other such
parity capital stock in proportion to the total amounts to which the holders of
all such shares are entitled upon such liquidation, dissolution or winding up.

      SECTION 6.  CONSOLIDATION, MERGER, ETC.

      In case the Corporation shall enter into any consolidation, merger,
combination or other transaction in which shares of Common Stock are exchanged
for or changed into other capital stock or securities, cash or any other
property, then in any such case the then-outstanding shares of Series A
Preferred Stock shall at the same time be similarly exchanged or changed into an
amount per share equal to the Formula Number then in effect multiplied by the
aggregate amount of capital stock, securities, cash or any other property
(payable

                                       A-4

   30



in kind), as the case may be, into which or for which each share of Common Stock
is exchanged or changed. In the event both Section 2 and this Section 6 would
apply to a transaction, this Section 6 shall control.

      SECTION 7.  NO REDEMPTION; NO SINKING FUND

      (a) Series A Preferred Stock shall not be subject to redemption by the
Corporation or at the option of any holder of Series A Preferred Stock;
provided, however, that the Corporation may purchase or otherwise acquire
outstanding shares of Series A Preferred Stock in the open market or by offer to
any holder or holders of Series A Preferred Stock.

      (b) Series A Preferred Stock shall not be subject to or entitled to the
operation of a retirement or sinking fund.

      SECTION 8.  RANKING

      Series A Preferred Stock shall rank junior to all other series of
Preferred Stock of the Corporation, unless the board of directors shall
specifically determine otherwise in fixing the powers, preferences and relative,
participating, optional and other special rights of the shares of such series
and the qualifications, limitations and restrictions thereof.

      SECTION 9.  FRACTIONAL SHARES

      Series A Preferred Stock shall be issuable upon exercise of the Rights
issued pursuant to the Rights Agreement in whole shares or in any fraction of a
share that is one one-hundredth (1/100th) of a share or any integral multiple of
such fraction that shall entitle the holder, in proportion to such holder's
fractional shares, to receive dividends, exercise voting rights, participate in
distributions and to have the benefit of all other rights of holders of Series A
Preferred Stock. In lieu of fractional shares, the Corporation, prior to the
first issuance of a share or a fraction of a share of Series A Preferred Stock,
may elect (a) to make a cash payment as provided in the Rights Agreement for
fractions of a share other than one one-hundredth (1/100th) of a share or any
integral multiple thereof or (b) to issue depository receipts evidencing such
authorized fraction of a share of Series A Preferred Stock pursuant to an
appropriate agreement between the Corporation and a depository selected by the
Corporation; provided that such agreement shall provide that the holders of such
depository receipts shall have all the rights, privileges and preferences to
which they are entitled as holders of the Series A Preferred Stock.

      SECTION 10.  REACQUIRED SHARES

      Any shares of Series A Preferred Stock purchased or otherwise acquired by
the Corporation in any manner whatsoever shall be retired and canceled promptly
after the acquisition thereof. All such shares shall upon their cancellation
become authorized but unissued shares of Preferred Stock, without designation as
to series until such shares are once more designated as part of a particular
series by the board of directors pursuant to the provisions of Section (b) of
Article FOURTH of the Certificate of Incorporation.

      SECTION 11.  AMENDMENT

      None of the powers, preferences and relative, participating, optional and
other special rights of the Series A Preferred Stock as provided herein or
otherwise in the Certificate of Incorporation shall be amended in any manner
that would alter or change the powers, preferences, rights or privileges of the
holders of Series A Preferred Stock so as to affect them adversely without the
affirmative vote of the holders of at least

                                       A-5

   31



66 2/3% of the outstanding shares of Series A Preferred Stock, voting as a
separate class; provided, however, that no such amendment approved by the
holders of at least 66 2/3% of the outstanding shares of Series A Preferred
Stock shall be deemed to apply to the powers, preferences, rights or privileges
of any holder of Series A Preferred Stock originally issued upon exercise of the
Rights after the time of such approval without the approval of such holder.

      IN WITNESS WHEREOF, Aspen Technology, Inc. has caused this Certificate of
Designation of Series A Participating Cumulative Preferred Stock to be executed
on its behalf by its President and its Secretary as of March 12, 1998.



                                          ASPEN TECHNOLOGY, INC.


                                          By:
                                             -----------------------------------
                                             President
Attest:


By:
   ------------------------------------
      Stephen J. Doyle
      Secretary











                                       A-6

   32



                                                                       EXHIBIT B






                           [Form of Right Certificate]


Certificate No. [R]-_____
 ___________ Rights


NOT EXERCISABLE AFTER JANUARY __, 2008, OR EARLIER IF REDEEMED BY THE COMPANY.
THE RIGHTS ARE SUBJECT TO REDEMPTION, AT THE OPTION OF THE COMPANY, AT $.01 PER
RIGHT, ON THE TERMS SET FORTH IN THE RIGHTS AGREEMENT. RIGHTS BENEFICIALLY OWNED
BY AN ACQUIRING PERSON OR AN AFFILIATE OR ASSOCIATE OF AN ACQUIRING PERSON (AS
SUCH TERMS ARE DEFINED IN THE RIGHTS AGREEMENT) AND BY ANY SUBSEQUENT HOLDER OF
SUCH RIGHTS ARE NULL AND VOID AND NONTRANSFERABLE.


                                Right Certificate

                             ASPEN TECHNOLOGY, INC.


      This certifies that               , or registered assigns, is the 
registered owner of the number of Rights set forth above, each of which 
entitles the owner, thereof, subject to the terms, provisions and conditions of
the Rights Agreement dated as of March 12, 1998 (the "Rights Agreement"), 
between Aspen Technology, Inc., a Delaware corporation (the "Company"), and 
American Stock Transfer and Trust Company, a limited power banking trust 
company licensed by the New York State Banking Authority, as Rights Agent (the 
"Rights Agent"), unless the Rights evidenced hereby shall have been previously 
redeemed by the Company, to purchase from the Company at any time after the 
Distribution Date (as defined in the Rights Agreement) and prior to 5:00 p.m., 
Boston time, on the tenth anniversary of the date of the Rights Agreement (the 
"Expiration Date"), at the office of the Rights Agent, or its successors as 
Rights Agent, in Brooklyn, New York, one one-hundredth (1/100th) of a fully 
paid, nonassessable share of Series A Participating Cumulative Preferred Stock,
par value $.10 per share, of the Company (the "Preferred Shares"), at a 
purchase price per one one-hundredth (1/100th) of a share equal to $175.00 (the
 "Purchase Price") payable in cash, upon presentation and surrender of this 
Right Certificate with the Form of Election to Purchase duly executed.

      The Purchase Price and the number and kind of shares which may be
purchased upon exercise of each Right evidenced by this Right Certificate, as
set forth above, are the Purchase Price and the number and kind of shares which
may be so purchased as of March 12, 1998. As provided in the Rights Agreement,
the Purchase Price and the number and kind of shares which may be purchased upon
the exercise of each Right evidenced by this Right Certificate are subject to
modification and adjustment upon the happening of certain events.

      If the Rights evidenced by this Right Certificate are at any time
beneficially owned by an Acquiring Person or an Affiliate or Associate of an
Acquiring Person (as such terms are defined in the Rights Agreement), such
Rights shall be null and void and nontransferable and the holder of any such
Right (including any purported transferee or subsequent holder) shall not have
any right to exercise or transfer any such Right.

      This Right Certificate is subject to all the terms, provisions and
conditions of the Rights Agreement, which terms, provisions and conditions are
hereby incorporated herein by reference and made a part hereof and to which
reference to the Rights Agreement is hereby made for a full description of the
rights, limitations

                                       B-1

   33



of rights, obligations, duties and immunities hereunder of the Rights Agent, the
Company and the holders of the Right Certificates. Copies of the Rights
Agreement are on file at the above-mentioned office of the Rights Agent and are
also available from the Company upon written request.

      This Right Certificate, with or without other Right Certificates, upon
surrender at the stock transfer or corporate trust office of the Rights Agent,
may be exchanged for another Right Certificate or Right Certificates of like
tenor and date evidencing Rights entitling the holder to purchase a like
aggregate number and kind of shares as the Rights evidenced by the Right
Certificate or Right Certificates surrendered shall entitle such holder to
purchase. If this Right Certificate shall be exercised in part, the holder shall
be entitled to receive upon surrender hereof another Right Certificate or Right
Certificates for the number of whole Rights not exercised.

      Subject to the provisions of the Rights Agreement, the Rights evidenced by
this Right Certificate may be redeemed by the Company at its option at a
redemption price (in cash or shares of Common Stock or other securities of the
Company deemed by the Board of Directors to be at least equivalent in value) of
$.01 per Right (which amount shall be subject to adjustment as provided in the
Rights Agreement) at any time prior to the earlier of (i) such time as a Person
becomes an Acquiring Person and (ii) the Expiration Date.

      The Company may, but shall not be required to, issue fractions of
Preferred Shares or distribute certificates which evidence fractions of
Preferred Shares upon the exercise of any Right or Rights evidenced hereby. In
lieu of issuing fractional shares, the Company may elect to make a cash payment
as provided in the Rights Agreement for fractions of a share other than one
one-hundredth (1/100th) of a share or any integral multiple thereof or to issue
certificates or utilize a depository arrangement as provided in the terms of the
Rights Agreement and the Preferred Shares.

      No holder of this Right Certificate shall be entitled to vote or receive
dividends or be deemed for any purpose the holder of the Preferred Shares or of
any other securities of the Company which may at any time be issuable on the
exercise hereof, nor shall anything contained in the Rights Agreement or herein
be construed to confer upon the holder hereof, as such, any of the rights of a
stockholder of the Company, including, without limitation, any right to vote for
the election of directors or upon any matter submitted to stockholders at any
meeting thereof, or to give or withhold consent to any corporate action, or to
receive notice of meetings or other actions affecting stockholders (except as
provided in the Rights Agreement), or to receive dividends or other
distributions or subscription rights, or otherwise, until the Right or Rights
evidenced by this Right Certificate shall have been exercised as provided in
accordance with the provisions of the Rights Agreement.

      This Right Certificate shall not be valid or obligatory for any purpose
until it shall have been counter signed by the Rights Agent.



                                       B-2

   34



      WITNESS the facsimile signature of the proper officers of the Company and
its corporate seal.


Dated as of:

                                         ASPEN TECHNOLOGY, INC.


                                         By:
                                            ------------------------------------
                                         Name:
                                         Title:
Attest:



- -------------------------------------
Name:
Title:

Countersigned:

American Stock Transfer and Trust Company
as Rights Agent,

By:
   ----------------------------------
     Authorized Signatory




                                       B-3

   35



                     [On Reverse Side of Right Certificate]


                          FORM OF ELECTION TO PURCHASE

                     (To be executed by the registered holder if
such holder desires to exercise the Rights
represented by this Right Certificate.)


To the Rights Agent:

      The undersigned hereby irrevocably elects to exercise ____________ Rights
represented by this Right Certificate to purchase the Preferred Shares (or other
shares) issuable upon the exercise of such Rights and requests that certificates
for such shares be issued in the name of:

Please insert social security
or other identifying number


- ----------------------------------

(Please print name and address)


- ----------------------------------

      If such number of Rights shall not be all the Rights evidenced by this 
Right Certificate, a new Right

                                       B-4

   36


Certificate for the balance remaining of such Rights shall be registered in the
name of 

and delivered to: 

Please insert social security 
or other identifying number


- --------------------------------

(Please print name and address)


- ---------------------------------


Dated:___________, ____



                                   ---------------------------------------------
                                   Signature

Signature Guaranteed:


                                     NOTICE

      The signature on the foregoing Form of Election to Purchase must
correspond to the name as written upon the face of this Right Certificate in
every particular, without alteration or enlargement or any change whatsoever.



                                       B-5