The Savings account interest rate at First Tennessee Bank has just changed from 0.75% APY to 1% APY with a minimum of $10,000 required. See the full details and rate info at First Tennessee Bank Money Market/Savings $1000 rate. Special Money Market Savings The offer is for qualifying checking customers with a new or existing checking account (with balances averaging $2,500), with new money in a new or existing Money Market Savings account of at least $10,000.