Exhibit (g)(7)

                        AllianceBernstein Cap Fund, Inc.

                                                        December 12, 2012

State Street Bank and Trust Company
Lafayette Corporate Center
2 Avenue de Lafayette
Boston, MA  02111
Attention: James A. DePietro, Senior Vice President

      Re:   AllianceBernstein Cap Fund, Inc. (the "Fund")
            ---------------------------------------------

Ladies and Gentlemen:

Please be advised that the undersigned Fund has established a new series of
shares to be known as AllianceBernstein Select US Long/Short Portfolio (the
"Portfolio").

In accordance with Section 18.6, the Additional Portfolios provision, of the
Master Custodian Agreement dated as of August 3, 2009 by and among each
management investment company party thereto and State Street Bank and Trust
Company, the undersigned Fund hereby requests that your bank act as Custodian
for the aforementioned Portfolio under the terms of the aforementioned contract.
In connection with such request, the undersigned Fund hereby confirms to you, as
of the date hereof, its representations and warranties set forth in Section 18.7
of the aforementioned contract.

Kindly indicate your acceptance of the foregoing by executing two copies of this
letter agreement, returning one to the Fund and retaining one for your records.

                                     Sincerely,

                                     AllianceBernstein Cap Fund, Inc.
                                             on behalf of:
                                                   AllianceBernstein Select
                                                   US Long/Short Portfolio


                                     By:
                                         ---------------------------------------
                                     Name: Eric Freed
                                     Title: Assistant Secretary, Duly Authorized

Agreed and Accepted:

STATE STREET BANK AND TRUST COMPANY

By:
       ------------------------------
Name:
       ------------------------------
       Michael F. Rogers
Title: Executive Vice President

Effective Date: ___________, 2012