Your corporation has a revolving line of credit (a corporate version of a credit card) at Olde National Bank with a borrowing limit of $500,000, and an APR of 14% with monthly compounding. Your firm has just hit the borrowing limit of $500,000. As CFO, you have decided that you will pay down this balance by paying $15,000 every month until the balance is $0.\ \ Another bank, Bank New, contacts you and offers to transfer your $500,000 balance to their bank, where you will be charged only an 8% APR with monthly compounding.\ \ If your firm switches to Bank New and pays $15,000 each month, starting one month from today, how much sooner will your firm pay off the balance, in terms of months, versus staying with Olde National?