Chase offers a basic account, Chase Savings, along with one other option, Chase Plus Savings, that comes with slightly higher rates. Chase Savings comes with an APY of only 0.01% (effective 12/5/16; rates are variable and subject to change), while the rate on the Chase Plus Savings varies from 0.01% to 0.06%. Both can be used for overdraft protection. To avoid the $5 monthly fee on the Chase Savings account, you could keep a balance of at least $300 or schedule a recurring automatic transfer from a linked Chase checking account of at least $25. It's not quite as easy to avoid the $20 monthly fee on the Chase Plus Savings account. You need to keep a balance of at least $15,000 or have a link to one of Chase’s higher-end checking accounts.