UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934

                              (Amendment No. ___)*

                              CONVERIUM HOLDING AG
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                                (Name of Issuer)


                                Registered Shares
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                         (Title of Class of Securities)


                                     7248256
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                                 (CUSIP Number)


                                 August 12, 2005
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             (Date of Event Which Requires Filing of this Statement)


Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

|_|   Rule 13d-1(b)
|X|   Rule 13d-1(c)
|_|   Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).



                               Page 1 of 5 pages



CUSIP No.  7248256

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                NAME OF REPORTING PERSONS
       1        I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)

                Zuercher Kantonalbank
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                CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (See
                Instructions)
       2        (a) |_|
                (b) |X|
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       3        SEC USE ONLY

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                CITIZENSHIP OR PLACE OF ORGANIZATION
       4
                Switzerland
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                                        5      SOLE VOTING POWER

                                               18,911,601
           NUMBER OF
             SHARES                     6      SHARED VOTING POWER
          BENEFICIALLY
            OWNED BY                           0
              EACH
           REPORTING                    7      SOLE DISPOSITIVE POWER
             PERSON
              WITH                             18,911,601

                                        8      SHARED DISPOSITIVE POWER

                                               0
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      9         AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                18,911,601
--------------------------------------------------------------------------------
      10        CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
                (See Instructions)                                           |_|

--------------------------------------------------------------------------------
      11        PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

                12.9%

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      12        TYPE OF REPORTING PERSON (See Instructions)

                CO

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                               Page 2 of 5 pages


Item 1.

(a)      Name of Issuer

                  Converium Holding AG

(b)      Address of Issuer's Principal Executive Offices

                  Dammstrasse 19
                  CH-6301 Zug
                  Switzerland

Item 2.

(a)      Name of Person Filing

                  Zuercher Kantonalbank

(b)      Address of Principal Business Office or, if none, Residence

                  Bahnhofstr. 9
                  P.O. Box
                  CH-8001 Zurich
                  Switzerland

(c)      Citizenship

                  Switzerland

(d)      Title of Class of Securities

                  Registered Shares

(e)      CUSIP Number

                  7248256

Item 3.  If this statement is filed pursuant to ss.ss.240.13d-1(b) or
         240.13d-2(b) or (c), check whether the person filing is a:

(a)  |_|  Broker or dealer registered under section 15 of the Act (15 U.S.C.
     78o);

(b)  |_|  Bank as defined in section 3(a)(6) of the Act (15 U.S.C. 78c);

(c)  |_|  Insurance company as defined in section 3(a)(19) of the Act (15 U.S.C.
     78c);

(d)  |_|  Investment company registered under section 8 of the Investment
     Company Act of 1940 (15 U.S.C. 80a-8);



                               Page 3 of 5 pages


(e)  |_|  An investment adviser in accordance with ss.240.13d-1(b)(1)(ii)(E);

(f)  |_|  An employee benefit plan or endowment fund in accordance with
     ss.240.13d-1(b)(1)(ii)(F);

(g)  |_|  A parent holding company or control person in accordance with
     ss.240.13d-1(b)(1)(ii)(G);

(h)  |_|  A savings association as defined in Section 3(b) of the Federal
     Deposit Insurance Act (12 U.S.C. 1813);

(i)  |_|  A church plan that is excluded from the definition of an investment
     company under section 3(c)(14) of the Investment Company Act of 1940 (15
     U.S.C. 80a-3);

(j)  |_|  Group, in accordance with ss.240.13d-1(b)(1)(ii)(J).

Item 4.  Ownership.

         Provide the following information regarding the aggregate number and
percentage of the class of securities of the issuer identified in Item 1.

(a) Amount beneficially owned: 18,911,601.

(b) Percent of class: 12.9%.

(c) Number of shares as to which the person has:

      (i)   Sole power to vote or to direct the vote 18,911,601.

      (ii)  Shared power to vote or to direct the vote 0.

      (iii) Sole power to dispose or to direct the disposition of 18,911,601.

      (iv)  Shared power to dispose or to direct the disposition of 0.

Item 5.  Ownership of Five Percent or Less of a Class.

         If this statement is being filed to report the fact that as of the date
hereof the reporting person has ceased to be the beneficial owner of more than
five percent of the class of securities, check the following .

Item 6.  Ownership of More than Five Percent on Behalf of Another Person.

         No other person is known to have the right to receive or the power to
direct the receipt of dividends from, or the proceeds from the sale of the
shares of Registered Shares held by the reporting person.



                               Page 4 of 5 pages


Item 7.  Identification and Classification of the Subsidiary Which Acquired the
         Security Being Reported on By the Parent Holding Company.

         Not applicable.

Item 8.  Identification and Classification of Member of the Group.

         Not applicable.

Item 9.  Notice of Dissolution of Group.

         Not applicable.

Item 10. Certification.

(a) The following certification shall be included if the statement is filed
pursuant to ss.240.13d-1(c):

         By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were not acquired and are not held for
the purpose of or with the effect of changing or influencing the control of the
issuer of the securities and were not acquired and are not held in connection
with or as a participant in any transaction having that purpose or effect.



                                    SIGNATURE

         After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.



                                                     July 17, 2006
                                       -----------------------------------------
                                                         Date

                                                  /s/ Peter Hoeltschi
                                       -----------------------------------------
                                                     Signature

                                         Peter Hoeltschi, Deputy General Counsel
                                       -----------------------------------------
                                                     Name/Title


                                                 /s/ Johanna Preisig
                                       -----------------------------------------
                                                     Signature

                                          Johanna Preisig, Compliance Officer
                                       -----------------------------------------
                                                     Name/Title


                               Page 5 of 5 pages