Form of Officers Certificate related to the 4.650% Senior Notes due 2029 and the 5.000% Senior Notes due 2034

Exhibit 4.1

CHUBB INA HOLDINGS LLC

Officer’s Certificate

Pursuant to Sections 1.2, 3.1 and 3.3 of the Indenture, dated as of August 1, 1999 (the “Base Indenture”), among Chubb INA Holdings LLC (formerly known as ACE INA Holdings Inc.), as issuer (the “Company”), Chubb Limited (formerly known as ACE Limited), as guarantor (the “Guarantor”), and The Bank of New York Mellon Trust Company, N.A. (formerly known as The Bank of New York Trust Company, N.A., as successor to J.P. Morgan Trust Company, National Association and The First National Bank of Chicago), as trustee (the “Trustee”), as supplemented by the First Supplemental Indenture, dated as of March 13, 2013 (the “First Supplemental Indenture” and, together with the Base Indenture, the “Indenture”), by and among the Company, the Guarantor and the Trustee, the undersigned, Peter C. Enns, Executive Vice President and Chief Financial Officer of the Company, hereby certifies as follows:

I. The issuance of the following Securities (as defined below) has been approved and authorized in accordance with the provisions of the Indenture pursuant to resolutions duly adopted by the Board of Directors of the Company on October 15, 2015, August 16, 2021 and February 22, 2024. The terms of the Securities shall be as follows:

(a) The title of the 2029 Notes is “4.650% Senior Notes due 2029” (the “2029 Notes”) and the title of the 2034 Notes is “5.000% Senior Notes due 2034” (the “2034 Notes” and, together with the 2029 Notes, the “Securities”).

(b) The 2034 Notes constitute a further issuance of, and will be consolidated and form a single series with, the $1,000,000,000 aggregate principal amount of 5.000% Senior Notes due 2034 issued on March 7, 2024 (the “Existing 2034 Notes”). The terms of the Existing 2034 Notes were previously established by an Officer’s Certificate dated March 7, 2024.

(c) The aggregate principal amount of the 2029 Notes which may be authenticated and delivered under the Indenture is initially limited to $700,000,000 and the aggregate principal amount of the 2034 Notes which may be authenticated and delivered under the Indenture is initially limited to $1,600,000,000, which includes the Existing 2034 Notes and $600,000,000 aggregate principal amount of the additional 2034 Notes, except, in each case, for the Securities of each series authenticated and delivered upon registration of transfer of, or in exchange for, or in lieu of, the other Securities of each series pursuant to Sections 3.4, 3.5, 3.6, 9.5 or 11.7 of the Indenture.

(d) The 2029 Notes shall be issued in book-entry form, in denominations of $2,000 or any amount in excess thereof which is an integral multiple of $1,000, and represented by two registered global securities substantially in the form attached hereto as Exhibit A delivered to The Depository Trust Company (the “Depositary”), or a custodian on the Depositary’s behalf, and recorded in the book-entry system maintained by the Depositary. The 2034 Notes shall be issued in book-entry form, in denominations of $2,000 or any amount in excess thereof which is an integral multiple of $1,000, and represented by two registered global securities substantially in the form attached hereto as Exhibit B delivered to the Depositary, or a custodian on the Depositary’s behalf, and recorded in the book-entry system maintained by the Depositary.

(e) The principal amount of the 2029 Notes shall be due and payable on August 15, 2029. The principal amount of the 2034 Notes shall be due and payable on March 15, 2034.

(f) The principal of the 2029 Notes shall bear interest from July 31, 2024 or from the most recent 2029 Note Interest Payment Date (as defined below) to which interest has been paid or duly provided for, payable semi-annually in arrears on February 15 and August 15 of each year (each, a “2029 Note Interest Payment Date”), commencing February 15, 2025, to the Persons in whose names the 2029 Notes (or one or more Predecessor Securities of the 2029 Notes, as defined in the Indenture) are registered at the close of business on the February 1 or August 1, as the case may be, preceding such 2029 Note Interest Payment Dates. The principal of the 2034 Notes shall bear interest from March 7, 2024 or from the most recent 2034 Note Interest Payment Date (as defined below) to which interest has been paid or duly provided for, payable semi-annually in arrears on March 15 and September 15 of each year (each, a “2034 Note Interest Payment Date” and, together with each 2029 Note Interest Payment Date, each an “Interest Payment Date”), commencing September 15, 2024, to the Persons in whose names the 2034 Notes (or one or more Predecessor Securities of the 2034 Notes, as defined in the Indenture) are registered at the close of business on the March 1 or September 1, as the case may be, preceding such 2034 Note Interest Payment Dates.

(g) Interest on the 2029 Notes will accrue at the rate of 4.650% per annum from July 31, 2024 until the principal thereof is paid or made available for payment. Interest on the 2034 Notes will accrue at the rate of 5.000% per annum from March 7, 2024 until the principal thereof is paid or made available for payment.

(h) The principal of, interest on and any Additional Amounts with respect to each series of the Securities shall be payable, and the Securities may be surrendered or presented for payment, the Securities may be surrendered for registration of transfer or exchange, and notices and demands to or upon the Company or the Guarantor in respect of the Securities and the Indenture may be served, at the office or agency of the Company and the Guarantor maintained for such purposes in The City of New York, State of New York from time to time, and the Company hereby appoints the Trustee, acting through its office or agency in The City of New York designated from time to time for such purpose, as its agent for the foregoing purposes; provided, however, that, at the option of the Company or the Guarantor, interest may be paid by check mailed to the address of the Person entitled thereto as such address shall appear in the Security Register; and provided, further, that (subject to Section 10.2 of the Indenture) the Company may at any time remove the Trustee as its office or agency in The City of New York designated for the foregoing purposes and may from time to time designate one or more other offices or agencies for the foregoing purposes and may from time to time rescind such designations.

(i) The Securities of each series shall be redeemable at the option of the Company prior to Stated Maturity as described in Exhibit A with respect to the 2029 Notes and Exhibit B with respect to the 2034 Notes, and are not subject to a sinking fund or analogous provision.

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(j) Payments of principal, interest on and any Additional Amounts with respect to the Securities of each series shall be made in such coin or currency of the United States of America as at the time of payment shall be legal tender for the payment of public and private debts.

(k) The Trustee shall be Security Registrar and the initial Paying Agent and initial transfer agent for the Securities of each series (subject to the Company’s right (subject to Section 10.2 of the Indenture) to remove the Trustee as such Paying Agent and/or transfer agent and, from time to time, to designate one or more co-registrars and one or more other Paying Agents and transfer agents and to rescind from time to time any such designations), and The City of New York is designated as a Place of Payment for the Securities of each series.

(l) Additional Amounts shall be payable in respect of the Securities of each series on the terms and subject to the conditions set forth in Section 10.4 of the Indenture and in the Securities of each series. Whenever in this Officer’s Certificate or in the certificate evidencing the Securities of either series there is mentioned, in any context, the payment of principal, interest or any other amount payable under or with respect to such Security, such mention shall be deemed to include mention of the payment of Additional Amounts to the extent that, in such context, Additional Amounts are, were or would be payable in respect thereof.

(m) The Securities of each series shall have such additional terms and provisions as are set forth in Exhibit A hereto with respect to the 2029 Notes and Exhibit B hereto with respect to the 2034 Notes, all of which terms and provisions are incorporated by reference in and made a part of this Officer’s Certificate as if set forth in full herein.

II. To the best knowledge of the undersigned, all conditions precedent to the execution, authentication and delivery of the Securities of each series described herein have been complied with, and no event which is, or after notice or lapse of time would become, an Event of Default with respect to the Securities has occurred and is continuing.

The undersigned states that he has read and is familiar with the provisions of Article III of the Indenture relating to the issuance of Securities of each series thereunder; that he is generally familiar with the other provisions of the Indenture and with the affairs of the Company, the Guarantor and their corporate acts and proceedings; and that, in his opinion, he has made such examination or investigation as is necessary to enable him to express an informed opinion as to whether or not the conditions precedent referred to above have been complied with.

Insofar as this certificate relates to legal matters, it is based, as provided for in Section 3.3 of the Indenture, upon the Opinion of Counsel delivered to the Trustee contemporaneously herewith pursuant to Section 3.3 of the Indenture and relating to the Securities of each series described herein.

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Capitalized terms used herein and not otherwise defined herein have the meanings specified in the Indenture.

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IN WITNESS WHEREOF, I, as Executive Vice President and Chief Financial Officer of the Company, have hereunto signed my name.

Dated: July 31, 2024

[Signature Page to Officer’s Certificate (Indenture) of Chubb INA Holdings LLC]

EXHIBIT A

[Form of Note]

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EXHIBIT B

[Form of Note]

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