Relationship CD Rates – Amegy Bank values the relationships that we have with our customers. To earn a relationship CD rate you must have an open and active Amegy checking account in good standing and two of the following account types or services: a savings account, money market account, loan, credit card, debit card and/or online banking. A minimum combined balance of $3,000 excluding CDs, is required. An account may only be enrolled in one Amegy relationship package at a time. All loans and credit cards must be current. To get more information about earning a relationship CD rate, please contact your personal banker.