Ask the company or institution (like a bank) that has the property if they have an Affidavit for you to use. Begin the probate process.How to fill out the final account for an estate with no assets except a vehicle and nothing in the bank. Bank of America accounts. Visit your local financial center or contact Estate Servicing Operations to speak with our dedicated team. The process to claim a deceased person's bank account is straightforward if there are clearly defined payableondeath beneficiaries or a joint account owner. The process of claiming a bank account after death varies based on a number of factors. Here's how to claim a deceased person's bank accounts. Open a Free Checking w eStatements account, Teen checking or High-Yield checking account with SDCCU and experience better banking.