7.250% PERPETUAL NON-CUMULATIVE PREFERENCE SHARES FACE OF SECURITY

Exhibit 4.1

7.250% PERPETUAL NON-CUMULATIVE PREFERENCE SHARES

FACE OF SECURITY

UNLESS THIS CERTIFICATE IS PRESENTED BY AN AUTHORIZED REPRESENTATIVE OF THE DEPOSITORY TRUST COMPANY, A NEW YORK CORPORATION (“DTC”), NEW YORK, NEW YORK, TO THE COMPANY OR ITS AGENT FOR REGISTRATION OF TRANSFER, EXCHANGE OR PAYMENT, AND ANY CERTIFICATE ISSUED IS REGISTERED IN THE NAME OF CEDE & CO. OR SUCH OTHER NAME AS IS REQUESTED BY AN AUTHORIZED REPRESENTATIVE OF DTC (AND ANY PAYMENT IS MADE TO CEDE & CO., OR TO SUCH OTHER ENTITY AS IS REQUESTED BY AN AUTHORIZED REPRESENTATIVE OF DTC) ANY TRANSFER, PLEDGE OR OTHER USE HEREOF FOR VALUE OR OTHERWISE BY OR TO ANY PERSON IS WRONGFUL INASMUCH AS THE REGISTERED OWNER HEREOF, CEDE & CO. HAS AN INTEREST HEREIN.

TRANSFERS OF THIS GLOBAL SECURITY SHALL BE LIMITED TO TRANSFERS IN WHOLE, BUT NOT IN PART, TO NOMINEES OF DTC OR TO A SUCCESSOR THEREOF OR SUCH SUCCESSOR’S NOMINEE AND TRANSFERS OF PORTIONS OF THIS GLOBAL SECURITY SHALL BE LIMITED TO TRANSFERS MADE IN ACCORDANCE WITH THE RESTRICTIONS SET FORTH IN THE CERTIFICATE OF DESIGNATION REFERRED TO BELOW.

IN CONNECTION WITH ANY TRANSFER, THE HOLDER WILL DELIVER TO THE REGISTRAR AND TRANSFER AGENT SUCH CERTIFICATES AND OTHER INFORMATION AS SUCH REGISTRAR AND TRANSFER AGENT MAY REASONABLY REQUIRE TO CONFIRM THAT THE TRANSFER COMPLIES WITH THE FOREGOING RESTRICTIONS.

7.250% Perpetual Non-Cumulative Preference Shares

(liquidation preference U.S.$25 per Preference Share)

of

ASPEN INSURANCE HOLDINGS LIMITED

ASPEN INSURANCE HOLDINGS LIMITED, a Bermuda company (the “Company”), hereby certifies that Cede & Co. or its registered assigns (the “Holder”) is the registered owner of 6,400,000, or such number as is indicated in the records of the Registrar and the Depository, fully paid and non-assessable preference shares of the Company designated the 7.250% Perpetual Non-Cumulative Preference Shares, with a liquidation preference of U.S.$25 per share (the “Preference Shares”). The Preference Shares are transferable on the books and records of the Registrar, in person or by a duly authorized attorney, upon surrender of this certificate duly endorsed and in proper form for transfer. The designations, rights, privileges, restrictions, preferences and other terms and provisions of the Preference Shares represented hereby are issued and shall in all respects be subject to the provisions of the Certificate of Designation dated April 11, 2012, as the same may be amended from time to time (the “Certificate of Designation”). Capitalized terms used herein but not defined shall have the meaning given them in the Certificate of Designation. The Company will provide a copy of the Certificate of Designation to a holder without charge upon written request to the Company at its principal place of business.

Reference is hereby made to select provisions of the Preference Shares set forth on the reverse hereof, and to the Certificate of Designation, which select provisions and the Certificate of Designation shall for all purposes have the same effect as if set forth at this place.

Upon receipt of this certificate, the holder is bound by the Certificate of Designation and is entitled to the benefits thereunder.

Unless the Registrar has properly countersigned, these Preference Shares shall not be entitled to any benefit under the Certificate of Designation or be valid or obligatory for any purpose.

IN WITNESS WHEREOF, the Company has executed this certificate this 11th day of April, 2012.

REGISTRAR’S COUNTERSIGNATURE

These are Preference Shares referred to in the within-mentioned Certificate of Designation.

Dated: April 11, 2012

REVERSE OF SECURITY

Dividends on each Preference Share shall be payable at the rate provided in the Certificate of Designation.

The Preference Shares shall be redeemable at the Company’s option in the manner and accordance with the terms set forth in the Certificate of Designation.

The Company shall furnish without charge to each holder who so requests the powers, designations, preferences and relative, participating, optional or other special rights of each class or series of share capital and the qualifications, limitations or restrictions of such preferences and/or rights.

ASSIGNMENT

FOR VALUE RECEIVED, the undersigned assigns and transfers the Preference Shares evidenced hereby to:

(Insert assignee’s social security or tax identification number)

(Insert address and zip code of assignee)

and irrevocably appoints:

agent to transfer the Preference Shares evidenced hereby on the books of the Transfer Agent. The agent may substitute another to act for him or her.

(Signature must be guaranteed by an “eligible guarantor institution” that is a bank, stockbroker, savings and loan association or credit union meeting the requirements of the Transfer Agent, which requirements include membership or participation in the Securities Transfer Agents Medallion Program (“STAMP”) or such other “signature guarantee program” as may be determined by the Transfer Agent in addition to, or in substitution for, STAMP, all in accordance with the Securities Exchange Act of 1934, as amended.)