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                                                                     Exhibit 4.1

                          AMENDMENT TO RIGHTS AGREEMENT

1.    GENERAL BACKGROUND. In accordance with Section 27 of the Rights Agreement
      between State Street Bank and Trust Company (the "Rights Agent") and RSA
      Security Inc. (the "Company") dated July 20, 1999 (the "Agreement"), the
      Rights Agent and the Company desire to amend the Agreement to appoint
      EquiServe Trust Company, N.A. as successor Rights Agent.

2.    EFFECTIVENESS. This Amendment shall be effective as of July 11, 2001 (the
      "Amendment"), and all defined terms and definitions in the Agreement shall
      be the same in the Amendment except as specifically revised by the
      Amendment.

3.    REVISION. Section 21 of the Agreement, entitled "Change of Rights Agent,"
      is hereby deleted in its entirety and replaced with the following:

      Change of Rights Agent. The Rights Agent or any successor Rights Agent may
      resign and be discharged from its duties under this Agreement upon 30
      days' notice in writing mailed to the Company and to each transfer agent
      of the Common Shares or Preferred shares by registered or certified mail
      and to the holders of the Right Certificates by first-class mail. 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
      or Preferred Shares by registered or certified mail, and to the holders of
      the Right Certificates 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 (who shall, with such
      notice, submit such holder's Right Certificate for inspection by the
      Company), then the registered holder of any Right Certificate 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 or trust company organized and doing
      business under the laws of the United States, in good standing, which is
      authorized under such laws to exercise corporate trust or stock transfer
      powers and is subject to supervision or examination by federal or state
      authority and which has individually or combined with an affiliate at the
      time of its appointment as Rights Agent a combined capital and surplus of
      at least $100,000,000. 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,

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      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 Stock, and
      mail a notice thereof in writing to the registered holders of the Right
      Certificates. Failure to give any notice provided for in this Section 21,
      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.

4.    Except as amended hereby, the Agreement and all schedules or exhibits
      thereto shall remain in full force and effect.

IN WITNESS WHEREOF, the parties hereto have caused this Amendment to be executed
in their names and on their behalf by and through their duly authorized
officers, as of this 2nd day of November, 2001.

RSA SECURITY INC                        STATE STREET BANK AND TRUST COMPANY

/s/John F. Kennedy                      /s/Carol Mulvey-Eori
------------------------------          ------------------------------------
By: John F. Kennedy                     By:    Carol Mulvey-Eori
Title: Senior Vice President, Finance   Title: Managing Director,
      and Operations, and CFO                  Client Administration

                                        EQUISERVE TRUST COMPANY, N.A.

                                        /s/Carol Mulvey-Eori
                                        ------------------------------------
                                        By:    Carol Mulvey-Eori
                                        Title: Managing Director,
                                               Client Administration

                                       2<PAGE>
                                                                     Exhibit 4.2

                                 AMENDMENT NO. 2
                                       TO
                                RIGHTS AGREEMENT

      This AMENDMENT NO. 2 TO RIGHTS AGREEMENT (the "Amendment") is entered into
as of March 19, 2002, between RSA Security Inc., a Delaware corporation (the
"Company"), and EquiServe Trust Company, N.A. (the "Rights Agent"). Capitalized
terms not otherwise defined herein shall have the meanings given them in the
Rights Agreement dated as of July 20, 1999, as amended, between the parties
hereto.

                                    RECITALS

      WHEREAS, the Board of Directors of the Company has determined that it is
in the best interests of the Company to amend the Rights Agreement to modify the
definition of Acquiring Person to exclude certain stockholders of the Company
from such definition in specified circumstances; and

      WHEREAS, the Company has determined that the Rights Agreement be amended
in accordance with Section 27 of the Rights Agreement, as set forth herein, and
the Rights Agent is hereby directed to join in the amendment to the Rights
Agreement as set forth herein.

                                    AGREEMENT

      NOW THEREFORE, the parties hereto, intending to be legally bound, hereby
agree as follows:

      1. Section 1(a) of the Rights Agreement is hereby amended to read in its
entirety as follows:

      "(a) "Acquiring Person" shall mean any Person who or which, together with
all Affiliates and Associates of such Person, shall be the Beneficial Owner of
15% or more of the shares of Common Stock then outstanding, but shall not
include (i) the Company, (ii) any Subsidiary of the Company, (iii) any employee
benefit plan of the Company or of any Subsidiary of the Company, (iv) any Person
organized, appointed or established by the Company for or pursuant to the terms
of any such plan, or (v) an Exempted Person. Notwithstanding the foregoing, (x)
if the Board determines in good faith that a Person who would otherwise be an
"Acquiring Person", as defined pursuant to the foregoing provisions of this
paragraph (a), has become such inadvertently, and such Person divests as
promptly as practicable a sufficient number of shares of Common Stock so that
such Person would no longer be an "Acquiring Person", as defined pursuant to the
foregoing provisions of this paragraph (a), then such Person shall not be deemed
to be an "Acquiring Person" for any purposes of this Agreement unless and until
such Person shall again become an "Acquiring Person" and (y) any such Person who
becomes the Beneficial Owner of fifteen percent (15%) or more of the shares of
the Common Stock then outstanding as a result of a reduction in the number of
shares of Common Stock then outstanding due to the repurchase of shares of
Common Stock by

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the Company shall not be deemed to be an "Acquiring Person" for any purposes of
this Agreement unless and until such Person, after becoming aware that such
Person has become the Beneficial Owner of fifteen percent (15%) or more of the
shares of Common Stock then outstanding, acquires beneficial ownership of any
additional shares of Common Stock representing one percent (1%) or more of the
shares of Common Stock then outstanding."

      2.    Section 1(ff) of the Rights Agreement is hereby added as follows:

            "(ff) "Exempted Person" shall mean:

                  (i) Citigroup Inc., a Delaware corporation ("Citigroup"),
      which prior to the date of this Amendment reported that it is the
      Beneficial Owner of more than 15% of the Company's Common Stock then
      outstanding, unless and until the earlier of such time as Citigroup,
      directly or indirectly, becomes the Beneficial Owner of (x) more than 24%
      of the Common Stock then outstanding (other than under circumstances
      described in the second sentence of Section 1(a) hereof (replacing for
      purposes of this clause (x) all references in Section 1(a) to 15% with
      24%)) or (y) less than 15% of the Common Stock then outstanding, in either
      of which event, Citigroup immediately shall cease to be an Exempted
      Person;

                  (ii) Salomon Smith Barney Holdings Inc., a New York
      corporation ("SSBH"), which prior to the date of this Amendment reported
      that it is the Beneficial Owner of more than 15% of the Company's Common
      Stock then outstanding, unless and until the earlier of such time as SSBH,
      directly or indirectly, becomes the Beneficial Owner of (x) more than 23%
      of the Common Stock then outstanding (other than under circumstances
      described in the second sentence of Section 1(a) hereof (replacing for
      purposes of this clause (x) all references in Section 1(a) to 15% with
      23%)) or (y) less than 15% of the Common Stock then outstanding, in either
      of which event, SSBH immediately shall cease to be an Exempted Person;

                  (iii) Salomon Brothers Holding Company Inc., a Delaware
      corporation ("SBHC"), which prior to the date of this Amendment reported
      that it is the Beneficial Owner of more than 15% of the Company's Common
      Stock then outstanding, unless and until the earlier of such time as SBHC,
      directly or indirectly, becomes the Beneficial Owner of (x) more than 22%
      of the Common Stock then outstanding (other than under circumstances
      described in the second sentence of Section 1(a) hereof (replacing for
      purposes of this clause (x) all references in Section 1(a) to 15% with
      22%)) or (y) less than 15% of the Common Stock then outstanding, in either
      of which event, SBHC immediately shall cease to be an Exempted Person; and

                  (iv) Salomon Smith Barney Inc., a New York corporation
      ("SSB"), which prior to the date of this Amendment reported that it is the
      Beneficial Owner of more than 15% of the Company's Common Stock then
      outstanding, unless and until the earlier of such time as SSB, directly or
      indirectly, becomes the Beneficial Owner of (x) more than 22% of the
      Common Stock then outstanding (other than under circumstances described in
      the second sentence of Section 1(a) hereof (replacing for purposes of this
      clause (x) all references in Section 1(a) to 15% with 22%)) or (y) less
      than 15% of the Common Stock

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      then outstanding, in either of which event, SSB immediately shall cease to
      be an Exempted Person."

      3. Except as amended hereby, the Rights Agreement shall remain unchanged
and shall remain in full force and effect.

      4. This Amendment may be executed in any number of counterparts, each of
which shall be an original, but all of which together shall constitute one
instrument.

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IN WITNESS WHEREOF, the parties have caused this Amendment to be executed by
their respective duly authorized representatives as of the date first above
written.

                              RSA SECURITY INC.

                              By: /s/ Arthur W. Coviello, Jr.
                                  ---------------------------------------------
                                  Name:  Arthur W. Coviello, Jr.
                                  Title: President and Chief Executive Officer

                              EQUISERVE TRUST COMPANY, N.A.

                              By: /s/ Dennis V. Moccia
                                  ---------------------------------------------
                                  Name:  Dennis V. Moccia
                                  Title: Managing Director

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