Terms Agreement, dated as of June 13, 2019, among Chubb INA Holdings Inc., Chubb Limited, Merrill Lynch International, Citigroup Global Markets Limited, J.P. Morgan Securities plc, MUFG Securities EMEA plc, Wells Fargo Securities International Limited, ANZ Securities, Inc., Barclays Bank PLC, BNY Mellon Capital Markets, LLC, Credit Suisse Securities (Europe) Limited, DBS Bank Ltd., HSBC Securities (USA) Inc., ING Bank N.V., Belgian Branch, RBC Europe Limited and Standard Chartered Bank

Exhibit 1.2

Execution Version

CHUBB INA HOLDINGS INC.

(a Delaware corporation)

Debt Securities

Unconditionally Guaranteed as to Payment of

Principal, Premium, if any, and Interest by

CHUBB LIMITED

TERMS AGREEMENT

June 13, 2019

436 Walnut Street, WA06K

Philadelphia, PA 19106

CHUBB LIMITED

Bärengasse 32,

CH-8001 Zurich, Switzerland

Ladies and Gentlemen:

We understand that Chubb INA Holdings Inc., a Delaware corporation (the “Company”), proposes to issue and sell €575,000,000 aggregate principal amount of its senior debt securities due 2027 (the “Underwritten 2027 Securities”) and €575,000,000 aggregate principal amount of its senior debt securities due 2031 (the “Underwritten 2031 Securities” and, together with the Underwritten 2027 Securities, the “Underwritten Securities”), which will be unconditionally guaranteed as to payment of principal, premium, if any, and interest by Chubb Limited, a Swiss company. Subject to the terms and conditions set forth or incorporated by reference herein, the underwriters named below (the “Underwriters”) offer to purchase, severally and not jointly, the principal amount of Underwritten Securities opposite their names set forth below at the purchase price set forth below.

The Underwritten 2027 Securities shall have the following terms:

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The Underwritten 2031 Securities shall have the following terms:

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Notices: Notice to the Underwriters shall be directed to the following, as Representatives, as follows:

Merrill Lynch International

2 King Edward Street

London EC1A 1HQ

United Kingdom

Attention: Syndicate Desk

Facsimile: +44 (0)20 7995 0048

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Citigroup Global Markets Limited

Citigroup Centre

Canada Square

Canary Wharf

London E14 5LB

United Kingdom

J.P. Morgan Securities plc

25 Bank Street

Canary Wharf

London E14 5JP

United Kingdom

Facsimile: +44 20 3493 0682

Attention: Head of Debt Syndicate and Head of EMEA Debt Capital Markets Group

All of the provisions contained in the document attached as Annex I hereto entitled “CHUBB INA HOLDINGS INC. (a Delaware corporation) – Senior and Subordinated Debt Securities – Unconditionally Guaranteed as to Payment of Principal, Premium, if any, and Interest by CHUBB LIMITED – UNDERWRITING AGREEMENT” (the “Underwriting Agreement”) are hereby incorporated by reference in their entirety herein and shall be deemed to be a part of this Terms Agreement to the same extent as if such provisions had been set forth in full herein. Terms defined in such document are used herein as therein defined.

Each of the parties hereto hereby expressly and irrevocably submits to the non-exclusive jurisdiction of any competent court in the place of its domicile and any United States Federal or New York State court sitting in the Borough of Manhattan in The City of New York in any action, suit or proceeding arising out of or relating to this Terms Agreement or the transactions contemplated hereby or thereby to the extent that such court has subject matter jurisdiction over the controversy, and expressly and irrevocably waives, to the extent permitted under applicable law, any immunity from the jurisdiction thereof and any claim or defense in such action, suit or proceeding based on a claim of improper venue, forum non conveniens or any similar basis to which it might otherwise be entitled in any such action, suit or proceeding. Each of the Company and the Guarantor irrevocably appoints Chubb Group Holdings Inc., 1133 Avenue of the Americas, 32nd Floor, New York, New York 10036, as its authorized agent in the Borough of Manhattan in The City of New York upon which process may be served in any such action, suit or proceeding, and agrees that service of process upon such agent, and written notice of said service to the Company or the Guarantor by the person serving the same to the address provided in Section 11 of the Underwriting Agreement, shall be deemed in every respect effective service of process upon the Company or the Guarantor, as the case may be, in any such action, suit or proceeding. Each of the Company and the Guarantor further agrees to take any and all action as may be necessary to maintain such designation and appointment of such agent in full force and effect for a period of seven years from the date of this Terms Agreement.

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By executing this Terms Agreement, each of the Underwriters hereby agrees to be bound by the provisions of the ICMA Agreement Among Managers Version 1 (Fixed-Price Non-Equity Related Issues)/New York Law Schedule (the “AMM”), save that clause 3 of the AMM shall not apply and, in the event of any conflict between the provisions of the AMM and this Terms Agreement, the terms of this Terms Agreement shall prevail. For the purposes of the AMM, “Managers” means the Underwriters and the Lead Managers shall be “Representative(s)”, “Settlement Lead Manager” and “Stabilizing Manager” means Merrill Lynch International and “Subscription Agreement” means this Terms Agreement.

Solely for the purposes of the requirements of Article 9(8) of the MiFID Product Governance rules under EU Delegated Directive 2017/593 (the “Product Governance Rules”) regarding the mutual responsibilities of manufacturers under the Product Governance Rules:

This Terms Agreement shall be governed by and construed in accordance with the laws of the State of New York.

Please accept this offer no later than 12:11 P.M. (New York City time) on June 13, 2019 by signing a copy of this Terms Agreement in the space set forth below and returning the signed copy to us.

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Schedule I

ISSUER FREE WRITING PROSPECTUSES

Final Term Sheet dated June 13, 2019 (attached hereto as Schedule II)

Schedule II

CHUBB INA HOLDINGS INC.

FINAL TERM SHEET

€1,150,000,000

Chubb INA Holdings Inc.

€575,000,000 0.875% Senior Notes due 2027

€575,000,000 1.400% Senior Notes due 2031

Each Fully and Unconditionally Guaranteed by

Chubb Limited

Pricing Term Sheet

June 13, 2019

The issuer and the guarantor have filed a registration statement (including a prospectus) with the SEC for the offerings to which this communication relates. Before you invest, you should read the prospectus in that registration statement and other documents the issuer or the guarantor has filed with the SEC for more complete information about the issuer, the guarantor and these offerings. You may get these documents for free by visiting EDGAR on the SEC Web site at www.sec.gov. Alternatively, the issuer, any underwriter or any dealer participating in these offerings will arrange to send you the prospectus if you request it by calling Merrill Lynch International toll-free at ###-###-####, Citigroup Global Markets Limited toll-free at ###-###-#### or J.P. Morgan Securities plc collect at +44-207-134-2468.

MiFID II professionals/ECPs-only / No PRIIPs KID – Manufacturer target market (MiFID II product governance) is eligible counterparties and professional clients only (all distribution channels). No PRIIPs key information document (KID) has been prepared as the notes are not available to retail investors in the EEA.

This pricing term sheet is not a prospectus for the purposes of the European Union’s Directive 2003/71/EC (as amended or superseded) as implemented in member states of the European Economic Area.

The communication of this pricing term sheet and any other document or materials relating to the issue of the Notes offered hereby is not being made, and such documents and/or materials have not been approved, by an authorized person for the purposes of section 21 of the United Kingdom’s Financial Services and Markets Act 2000, as amended (the “FSMA”). Accordingly, such documents and/or materials are not being distributed to, and must not be passed on to, the general public in the United Kingdom. The communication of such documents and/or materials as a financial promotion is only being made to those persons in the United Kingdom who have professional experience in matters relating to investments and who fall within the definition of investment professionals (as defined in Article 19(5) of the Financial Services and Markets Act 2000 (Financial Promotion) Order 2005, as amended (the “Financial Promotion Order”)), or who fall within Article 49(2)(a) to (d) of the Financial Promotion Order, or who are any other persons in the United Kingdom to whom it may otherwise lawfully be made under the Financial Promotion Order (all such persons together being referred to as “relevant persons”). In the United Kingdom, the Notes offered hereby are only available to, and any investment or investment activity to which this pricing term sheet relates will be engaged in only with, relevant persons. Any person in the United Kingdom that is not a relevant person should not act or rely on this pricing term sheet or any of its contents.

Relevant stabilisation regulation including FCA/ICMA will apply.

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Annex I

UNDERWRITING AGREEMENT

[Filed as Exhibit 1.1 to Form 8-K and not included herein]