Exhibit 99.(j)(4)

LETTER AMENDMENT

April 2, 2020

State Street Bank and Trust Company

1200 Crown Colony Drive, JQB5S

Quincy, MA 02169

Attn: Suzanne Hinckley, Managing Director

Dear Sir or Madam:

Lord Abbett & Co. LLC (“Lord Abbett”), as a party to the Custodian and Investment Accounting Agreement between various Lord Abbett-sponsored investment companies and State Street Bank and Trust Company (“State Street”) dated November 1, 2001, as amended (the “Agreement”), requests an amendment to the Agreement pursuant to Section 17.

Section 17 of the Agreement provides that: “in the event that a Fund establishes one or more series with respect to which it desires to have State Street render services as custodian and recordkeeper under the terms of the Agreement, it shall so notify State Street in writing, and if State Street agrees in writing to provide such services, such series of Shares shall become a Portfolio under the terms of the Agreement.” This Letter Amendment is to notify State Street that on January 30, 2020 Lord Abbett established Lord Abbett Floating Rate High Income Fund (the “Fund”), a Lord Abbett-sponsored investment company that is operated as an interval fund and is organized as a Delaware statutory trust. It is the Fund’s desire to have State Street render services as custodian and recordkeeper to the Fund under the terms of the Agreement; therefore, the Fund requests that State Street agree, in writing, to provide such services to the Fund.

Attached is an Amended Exhibit A to the Agreement that includes the name of the Fund as an entity that participates in the Agreement effective as of the close of business on April 2, 2020.

It is currently anticipated that the registration statement for the Fund will become effective on or around June 2020. Accordingly, we appreciate your prompt attention to this matter. Please indicate State Street’s acceptance by signing below.

On Behalf of :

Lord Abbett Floating Rate High Income Fund

/s/John Fitzgerald

John Fitzgerald

Vice President and Assistant Secretary

Accepted:

/s/Andrew Erickson

Andrew Erickson, Executive Vice President

State Street Bank and Trust Company

Enclosure

EXHIBIT A

Amended as of April 2, 2020¹

ENTITY AND SERIES	TYPE OF ENTITY	JURISDICTION
Lord Abbett Affiliated Fund, Inc.	Corporation	Maryland
Lord Abbett Bond-Debenture Fund, Inc.	Corporation	Maryland
Lord Abbett Credit Opportunities Fund	Statutory Trust	Delaware
Lord Abbett Developing Growth Fund, Inc.	Corporation	Maryland
Lord Abbett Floating Rate High Income Fund	Statutory Trust	Delaware
Lord Abbett Global Fund, Inc.	Corporation	Maryland
Lord Abbett Emerging Markets Bond Fund
Lord Abbett Emerging Markets Corporate Debt Fund
Lord Abbett Global Bond Fund
Lord Abbett Investment Trust	Statutory Trust	Delaware
Lord Abbett Convertible Fund
Lord Abbett Core Fixed Income Fund
Lord Abbett Core Plus Bond Fund
Lord Abbett Corporate Bond Fund
Lord Abbett Floating Rate Fund
Lord Abbett High Yield Fund
Lord Abbett Income Fund
Lord Abbett Inflation Focused Fund
Lord Abbett Multi-Asset Balanced Opportunity Fund
Lord Abbett Multi-Asset Income Fund
Lord Abbett Short Duration Core Bond Fund
Lord Abbett Short Duration Income Fund
Lord Abbett Total Return Fund Lord Abbett Ultra Short Bond Fund
Lord Abbett Mid Cap Stock Fund, Inc.	Corporation	Maryland
Lord Abbett Municipal Income Fund, Inc.	Corporation	Maryland
Lord Abbett AMT Free Municipal Bond Fund
Lord Abbett California Tax-Free Income Fund
Lord Abbett High Yield Municipal Bond Fund
Lord Abbett Intermediate Tax Free Fund
Lord Abbett National Tax-Free Income Fund
Lord Abbett New Jersey Tax-Free Income Fund
Lord Abbett New York Tax-Free Income Fund
Lord Abbett Short Duration High Yield Municipal Bond Fund
Lord Abbett Short Duration Tax Free Fund

¹  As amended on April 2, 2020 to reflect the addition of Lord Abbett Floating Rate High Income Fund.

Lord Abbett Research Fund, Inc.	Corporation	Maryland
Lord Abbett Dividend Growth Fund2
Lord Abbett Growth Opportunities Fund
Small-Cap Value Series
Lord Abbett Securities Trust	Statutory Trust	Delaware
Lord Abbett Alpha Strategy Fund
Lord Abbett Durable Growth Fund
Lord Abbett Focused Growth Fund
Lord Abbett Focused Large Cap Value Fund
Lord Abbett Focused Small Cap Value Fund
Lord Abbett Fundamental Equity Fund
Lord Abbett Global Equity Research Fund Lord Abbett Growth Leaders Fund
Lord Abbett Health Care Fund
Lord Abbett International Equity Fund
Lord Abbett International Opportunities Fund
Lord Abbett International Value Fund
Lord Abbett Micro-Cap Growth Fund
Lord Abbett Value Opportunities Fund
Lord Abbett Series Fund, Inc.	Corporation	Maryland
Bond-Debenture Portfolio
Dividend Growth Portfolio2
Developing Growth Portfolio
Fundamental Equity Portfolio
Growth and Income Portfolio
Growth Opportunities Portfolio
Mid Cap Stock Portfolio
Short Duration Income Portfolio
Total Return Portfolio
Lord Abbett Trust I	Statutory Trust	Delaware
Lord Abbett U.S. Government & Government Sponsored Enterprises Money Market Fund, Inc.	Corporation	Maryland

² Effective April 1, 2020, Lord Abbett Calibrated Dividend Growth and Calibrated Dividend Growth Portfolio were renamed Lord Abbett Dividend Growth Fund and Dividend Growth Portfolio, respectively.