How it works
You enter the loan amount, the rate you’d pay without buying points (base rate), the lower rate you would receive if you buy points, the points cost as a percentage of the loan, and the term in years. The calculator treats both scenarios as standard fixed‑rate, fully amortizing loans with the same loan amount and term—only the interest rate differs.
For each rate, we compute the monthly principal‑and‑interest payment using the standard amortization formula: Payment = P × [r(1+r)^n] ÷ [(1+r)^n − 1], where P is the loan amount, r is the monthly interest rate (APR ÷ 12), and n is the total number of payments (term in years × 12). This gives you Payment without points and Payment with points.
Points cost is calculated as Loan amount × Points %. For example, on a $400,000 loan, 1.5 points means 0.015 × 400,000 = $6,000 paid up front at closing in addition to your other closing costs.
Monthly savings is simply the difference between the two payments: Monthly savings = Payment without points − Payment with points. This shows how much you save on your mortgage payment each month by choosing the lower rate with points.
Breakeven months are then computed as Points cost ÷ Monthly savings (when monthly savings is positive). The result tells you how many months of reduced payments it takes for the cumulative savings to equal the upfront points cost. Breakeven years are breakeven months ÷ 12 for easier interpretation.
If the discounted rate does not actually lower your payment (for example, because of input errors or an unusual pricing structure), monthly savings will be zero or negative and the calculator shows breakeven as 0 to signal that paying points does not make economic sense in this simplified framework.
This breakeven calculation focuses purely on cash‑flow savings in the payment amount. It does not account for tax deductibility of points, the time value of money, potential future refinances, or changes in your plans to sell or move—but it gives you a clear starting point for deciding whether points are worth exploring further.