TIAA Bank savings rates are some of the best savings rates available today. The highest yielding account is at 2.05 percent on TIAA Bank's money market account. The minimum opening deposit for the MMA account is only $1. Basic savings rates at TIAA Bank are currently at 0.61 percent with only a $25 minimum opening balance. You can see how TIAA Bank savings rates compare with other savings rates and money market rates below.