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                                    Form 6-K

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        Report of Foreign Private Issuer

                        Pursuant to Rule 13a-16 or 15d-16
                     of the Securities Exchange Act of 1934

                         For the month of December, 2005

                              CONVERIUM HOLDING AG 
                              -------------------- 
                 (Translation of registrant's name into English)

                                 Baarerstrasse 8
                                   CH-6300 Zug
                                  Switzerland 
                    ----------------------------------------
                    (Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports
under cover Form 20-F or Form 40-F.

                    Form 20-F X                 Form 40-F 
                             ---                          ---
Indicate by check mark whether the registrant by furnishing the information
contained in this Form is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                    Yes                         No  X   
                       ---                         ---

If "Yes" is marked, indicate the file number assigned to the registrant in
connection with Rule 12g3-2(b): 82- Not Applicable





                           Converium Holding Ltd, Zug


Zug, Switzerland - December 14, 2005 - Converium today announces the appointment
of Inga Kristine Beale as CEO.

The Board of Directors of Converium Holding Ltd has appointed Inga Kristine
Beale (42) as the new Chief Executive Officer of Converium. A British citizen,
she is currently CEO and Chairman of the Board of Management of GE Frankona
Ruckversicherungs-AG, Munich, Germany, as well as the leader of GE Insurance
Solutions' Property & Casualty reinsurance business written in Continental
Europe, the Middle East and Africa.

Inga Beale will take up her new role at Converium early 2006, replacing Terry
Clarke. Mr. Clarke, member of the Board of Directors of Converium Holding Ltd,
took over as CEO at the end of February 2005.

The Board of Directors would like to thank Terry Clarke for stabilizing the
company after a period of turbulence, thereby laying the foundation for
Converium's successful repositioning in the global reinsurance market.

Peter Colombo, Chairman of the Board of Directors, commented: "We are very
pleased to announce the appointment of Inga Beale. Her extensive professional
expertise and broad international experience put her in an ideal position to
further develop Converium's franchise as an independent international multi-line
reinsurer. Together with the new CEO, the Board of Directors pursues the
objective to restore Converium's position as a leading reinsurer within the
foreseeable future."

After business studies in Newbury, UK, Inga Beale joined the Prudential
Assurance Company in London as an underwriter specializing in international
reinsurance. In 1987, she became an Associate of the Chartered Insurance
Institute (ACII). She joined GE Insurance Solutions, formerly Employers Re, in
1992, assuming a number of managerial roles. In 2001, Inga Beale was promoted to
Global Underwriting Leader for GE Insurance Solutions at the global headquarters
in Kansas City, USA. In 2003, she relocated to Paris, taking responsibility for
the Property & Casualty reinsurance business throughout Continental Europe, the
Middle East and Africa. In October 2004, Inga Beale was appointed CEO and
Chairman of the Board of Management of GE Frankona Ruckversicherungs-AG, Munich.

Inga Beale's CV and photo can be downloaded from our website
(www.converium.com).



                                  * * * * * * *



Enquiries:

Esther Gerster                             Zuzana Drozd

Head of Public Relations                   Head of Investor Relations

esther.gerster@converium.com               zuzana.drozd@converium.com

Phone:         +41 (0) 44 639 90 22        Phone:         +41 (0) 44 639 91 20

Fax:           +41 (0) 44 639 70 22        Fax:           +41 (0) 44 639 71 20


About Converium

Converium is an independent international multi-line reinsurer known for its
innovation, professionalism and service. Today Converium employs about 600
people in 20 offices around the globe and is organized into four business
segments: Standard Property & Casualty Reinsurance, Specialty Lines and Life &
Health Reinsurance, which are based principally on ongoing global lines of
business, as well as the Run-Off segment, which primarily comprises the business
from Converium Reinsurance (North America) Inc., excluding the US originated
aviation business portfolio. Converium has a "BBB+" rating (outlook stable) from
Standard & Poor's and a "B++" rating (outlook stable) from A.M. Best Company.



                                  * * * * * * *


Important Disclaimer

This document contains forward-looking statements as defined in the U.S. Private
Securities Litigation Reform Act of 1995. It contains forward-looking statements
and information relating to the Company's financial condition, results of
operations, business, strategy and plans, based on currently available
information. These statements are often, but not always, made through the use of
words or phrases such as ` seek to', `expects', `should continue', `believes',
`anticipates', `estimates' and `intends'. The specific forward-looking
statements cover, among other matters, the reinsurance market, the Company's
operating results, the rating environment and the prospect for improving results
and expense reductions. Such statements are inherently subject to certain risks
and uncertainties. Actual future results and trends could differ materially from
those set forth in such statements due to various factors. Such factors include
the impact of our ratings downgrade or a further lowering or loss of one of our
financial strength ratings; uncertainties of assumptions used in our reserving
process; risk associated with implementing our business strategies and our
capital improvement measures and the run-off of our North American business;
cyclicality of the reinsurance industry; the occurrence of natural and man-made
catastrophic events with a frequency or severity exceeding our estimates; acts
of terrorism and acts of war; changes in economic conditions, including interest
and currency rate conditions that could affect our investment portfolio; actions
of competitors, including industry consolidation and development of competing
financial products; a decrease in the level of demand for our reinsurance or
increased competition in our industries or markets; a loss of our key employees



or executive officers without suitable replacements being recruited within a
suitable period of time; our ability to address material weaknesses we have
identified in our internal control environment; political risks in the countries
in which we operate or in which we reinsure risks; the passage of additional
legislation or the promulgation of new regulation in a jurisdiction in which we
or our clients operate or where our subsidiaries are organized; the effect on
the insurance industry as a result of the investigations being carried out by
the US Securities and Exchange Commission and New York's Attorney General;
changes in our investment results due to the changed composition of our invested
assets or changes in our investment policy; failure of our retrocessional
reinsurers to honor their obligations or changes in the credit worthiness of our
reinsurers; our failure to prevail in any current or future arbitration or
litigation; and extraordinary events affecting our clients, such as bankruptcies
and liquidations , and other risks and uncertainties, including those detailed
in the Company's filings with the U.S. Securities and Exchange Commission and
the SWX Swiss Exchange. The Company does not assume any obligation to update any
forward-looking statements, whether as a result of new information, future
events or otherwise.

www.converium.com



                                   SIGNATURES

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


                                               CONVERIUM HOLDING AG




                                               By:  /s/ Terry Clarke
                                                    Name:  Terry Clarke
                                                    Title: CEO




                                               By:  /s/ Christian Felderer
                                              Name: Christian Felderer
                                             Title: General Legal Counsel



Date: December 14, 2005