You should also be aware of their reimbursement and recovery limits. Some financial institutions only reimburse you for a specific number of times in a specific time span. Other institutions may have a set dollar amount.
The policies and procedures for reimbursement and recovery vary greatly between the financial institutions. Some may have clauses that stipulate reimbursement is dependent on reporting within a specified timeframe, and other policies may have more stringent clauses. Smart consumers will only keep enough money in their accounts that if theft were to occur they would be reimbursed in full.
The bottom line is that financial institutions have significant leeway in helping you through this process or hindering you through this process. It is of the utmost importance that you know and understand the stipulations of your policies.