How Bank of America savings accounts compare to top-yielding banks. The tiered rates on the bank's Advantage Savings account are based on. Bank of America Advantage Savings; Custodial Savings for Youth; Minor Savings. Explore our savings account options for an in-depth description of each of. Bank of America offers strong online tools and a large network of branches and and a solid digital experience come at the price of hefty fees and weak savings rates. Of its three checking account options, Bank of America's Advantage Plus.