How extra payments help
A mortgage payment is split between interest (rate ÷ 12 on the current balance) and principal (the rest). Early on, most of it is interest. Any extra you pay goes straight to principal, which shrinks the balance that all future interest is charged on - so a small extra payment compounds into large savings.
Here P is the balance, r is the monthly rate (APR ÷ 12) and n is the number of payments. The calculator works out your scheduled payment from your remaining term, then amortizes the loan month by month - once at the scheduled payment and once with your extra added - and compares them.
Worked example
A $280,000 balance at 6.5% with 28 years left, paying $200 extra a month:
Where the savings come from
The earlier in the loan you add extra principal, the more interest you avoid, because that balance would otherwise have been charged interest for the longest time. Even one extra payment a year - paying biweekly, for example - can cut years off a 30-year loan. The calculator assumes a fixed rate and that extra payments are applied to principal; check that your lender does not charge prepayment penalties. Everything is computed in your browser.