How it works
Both loans are amortized month by month: interest is the balance times the rate ÷ 12, rounded to the cent, and the last payment clears the balance. The simple break-even divides the cash you pay up front by the monthly saving. The true break-even is the first month in which the payments you have saved, plus the difference between what you would still owe on each loan, cover that cash. It counts that a new, longer loan pays down more slowly. If you add the closing costs to the loan, nothing is paid up front, but you owe more. Worked example: refinance break-even tables.