STRATS Trust For Wal-Mart Stores, Inc. Securities, Series 2005-4 10-K

Exhibit 31.1

CERTIFICATION

I, Barbara Garafalo, certify that:

I have reviewed this annual report on Form 10-K in respect of the STRATS Trust For Wal-Mart Stores, Inc. Securities, Series 2005-4 (the “Trust”) and all reports on Form 8-K containing distribution or servicing reports filed in respect of periods included in the year covered by this annual report of the Trust;

Based on my knowledge, the information in these reports, taken as a whole, does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading as of the last day of the period covered by this annual report;

Based on my knowledge, the distribution or servicing information required to be provided to the Depositor by the Trustee under the trust agreement for inclusion in these reports is included in these reports;

I am responsible for reviewing the activities performed by the Depositor and the Trustee under the trust agreement and based upon my knowledge and the annual compliance review required under that agreement, and except as disclosed in the reports, the Depositor and Trustee have each fulfilled its obligations under that agreement; and

The reports disclose all significant deficiencies relating to the compliance by the Trustee and the Depositor with the minimum servicing or similar standards based upon the report provided by an independent public accountant, after conducting a review in compliance with the Uniform Single Attestation Program for Mortgage Bankers or similar procedure, as set forth in the trust agreement that is included in these reports.

In giving the certifications above, I have reasonably relied on information provided to me by the following unaffiliated party: U.S. Bank Trust National Association, as Trustee.

Date: March 30, 2026

/s/ Barbara Garafalo
Name: Barbara Garafalo
Title: President

STRATS SM TRUST FOR WAL-MART STORES, INC. SECURITIES, SERIES 2005-4 10-K