How to fill out the final account for an estate with no assets except a vehicle and nothing in the bank. Learn how to set up an estate account so that you can manage the deceased person's finances according to their wishes.Bank of America accounts. Visit your local financial center or contact Estate Servicing Operations to speak with our dedicated team. If the deceased person was the sole owner of the bank account and named a beneficiary, then the bank can release the funds to the beneficiary without probate. Learn More About Section 153.003 Of The Texas Estates Code And Obtaining Bank Account Information Of A Deceased Family Member In Texas. This guide tells you how to use a Small Estate Affidavit to probate an estate in Texas. A Zero Balance Account (ZBA) lets you write checks and use your debit card while you keep a zero balance. The bank's request for "Letters Testamentary" is a request for formal courtbased probate of your father's Will. However, if the deceased had set up a trust for their estate, no probate is needed.