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 October, 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 - October 5, 2005 - Converium informs about its progress in commuting North American liabilities. In the third quarter of 2005 Converium has commuted net reserves of close to US$ 250 million relating to liabilities of Converium Reinsurance (North America) Inc. (CRNA). The bottom-line impact on the third quarter result from these commutations will be positive. More than 90% of the commuted liabilities are associated with volatile and long-tail lines of business, e.g. General and Special Liability, Professional Liability and Workers' Compensation. These figures demonstrate that Converium's strategy of systematically commuting North American liabilities is on track. Converium reiterates its target to commute or otherwise settle CRNA net liabilities of approximately US$ 500 million in 2005, further de-risking the Company's balance-sheet. Enquiries: Dr. Kai-Uwe Schanz Zuzana Drozd Chief Communication & Corporate Head of Investor Relations Development Officer kai-uwe.schanz@converium.com zuzana.drozd@converium.com Phone: +41 (44) 639 90 35 Phone: +41 (44) 639 91 20 Fax: +41 (44) 639 70 35 Fax: +41 (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: October 7, 2005