How this calculator works
The payoff date follows from the balance, the rate, and the payment. With interest compounded semi-annually and converted to a monthly rate, the number of remaining payments is n = −ln(1 − i·B/P) / ln(1 + i), where B is the balance, P the payment, and i the monthly rate.
The reason a small extra payment has an outsized effect is that every extra dollar reduces the balance that interest is charged on for every remaining month. On a long amortization the effect compounds, which is why increasing the payment usually beats making a single lump sum of the same total size spread over time — though both help.
Assumptions and limits
This is an educational estimate produced entirely in your browser. It is not an offer of credit, an approval, or financial advice, and it does not use your real credit file. Lenders apply their own policy, pricing, and verification.