EXECUTION VERSION

Exhibit 4(h)

Energy
Future Holdings Corp.

1601 Bryan Street

Dallas, TX 75201

DDJ Capital Management, LLC

130 Turner Street, Building 3, Suite 600

Waltham, MA 02453

April 12, 2010

Ladies and Gentlemen:

Reference is hereby made to that certain Exchange Agreement, dated April 12, 2010, between each of the funds and/or accounts listed
on Exhibit A attached hereto that is managed and/or advised by DDJ Capital Management, LLC (each a Holder), on the one hand, and Energy Future Holdings Corp. (the Company), Energy Future Competitive
Holdings Company (EFCH) and Energy Future Intermediate Holding Company LLC (together with EFCH, the Guarantors), on the other hand (the Exchange Agreement), pursuant to which the Company will
issue to such Holder its New Securities (as identified on Appendix A to the Exchange Agreement) in exchange for the Exchange Securities such Holder owned (as identified on Appendix A to the Exchange Agreement). Unless otherwise provided, capitalized
terms used but not defined herein have the meanings ascribed to them in the Exchange Agreement.

For purposes of providing
each Holder and any subsequent transferee of such Holders New Securities the right to receive New Exchange Notes or the right to register the New Securities under the Securities Act, as applicable, the Company and the Guarantors hereby grant
the New Securities the same rights afforded to Securities (as such term is defined in the Registration Rights Agreement) under the Registration Rights Agreement; provided, however, that each Holder and any subsequent
transferee of such Holders New Securities agree to abide by all of the terms and conditions of the Registration Rights Agreement applicable to a holder of Securities thereunder; and provided, further, that this letter agreement
shall not (i) provide any Holder or any subsequent transferee of such Holders New Securities with any right to designate its own counsel, managing underwriter or underwriter pursuant to Sections 3(d)(vi), 3(d)(vii), 4 and 7, as
applicable, of the Registration Rights Agreement. For the avoidance of doubt, the parties hereto acknowledge and agree that the New Securities shall be treated as a single class with the outstanding 10.000% Senior Secured Notes due 2020 of the
Company issued pursuant to the Indenture, and this letter agreement shall not extend or otherwise change the time period during which the Company and the Guarantors must cause the Exchange Registration Statement and the Shelf Registration Statement
(as such terms are defined in the Registration Rights Agreement) to become effective pursuant to Section 2(a) and (b), respectively, of the Registration Rights Agreement.

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If the foregoing is in accordance with your understanding of our agreement, please sign and
return to us a counterpart hereof, whereupon this Agreement, along with all counterparts, will become a binding agreement among each Holder, the Company and Guarantors in accordance with its terms.



Very truly yours,Energy Future Holdings Corp.By:

/s/ Anthony R. HortonName:

Anthony R. HortonTitle:

Senior Vice President and TreasurerEnergy Future Competitive Holdings CompanyBy:

/s/ Anthony R. HortonName:

Anthony R. HortonTitle:

TreasurerEnergy Future Intermediate Holding Company LLCBy:

/s/ Anthony R. HortonName:

Anthony R. HortonTitle:

Senior Vice President and Treasurer


SIGNATURE PAGE TO LETTER AGREEMENT



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Confirmed and agreed to as of the date first above written:

Holders



|                                                                                                                                 |  |                        
|-------------------------------------------------------------------------------------------------------------------------------- |  | -----------------------
|By: DDJ Capital Management, LLC, on behalf of the funds and/or accounts it manages and/or advises identified on Exhibit A hereto
|                                                                                                                                 | 
|By                                                                                                                               |  | /s/ Anthony M. Ranaldi 
|Name:                                                                                                                            |  | Anthony M. Ranaldi     
|Title:                                                                                                                           |  | Authorized Signatory   
|                                                                                                                                 | 
|By                                                                                                                               |  | /s/ Elizabeth B. Duggan
|Name:                                                                                                                            |  | Elizabeth B. Duggan    
|Title:                                                                                                                           |  | Authorized Signatory   

SIGNATURE PAGE TO LETTER AGREEMENT



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Exhibit A

Caterpillar Inc. Master Retirement Trust

GMAM
Investment Funds Trust (for the account of

the Promark High Yield Bond Fund (Account No.

7MKM))

Houston Municipal Employees Pension
System

J.C. Penney Corporation, Inc. Pension Plan Trust

Multi-Style, Multi-Manager Funds PLC The Global

Strategic Yield Fund

National Railroad
Retirement Investment Trust

Stichting Pensioenfonds Hoogovens

Stichting Bewaarder Interpolis Pensioenen Global

High Yield Pool

Stichting Pensioenfonds voor
Fysiotherapeuten

Stichting Pensioenfonds Metaal en Techniek

Stichting Pensioenfonds van de Metalektro (PME)

GMAM Group Pension Trust III (for the account of

the Promark Alternative High Yield Bond Fund

(Account No. 7M2E))

GMAM Group Pension
Trust III (for the account of

the Promark Alternative High Yield Bond Fund

(Account No. 7MWD))

UAW Retiree Medical
Benefits Trust



A-1