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Loan calculator

Estimate

The interactive calculator needs JavaScript. The guide below explains the payment formula, how amortization works and why extra payments save interest.

How loan payments work

Most loans are amortizing: every payment is the same, but the split changes over time. Early payments are mostly interest because the balance is large; later payments are mostly principal. The schedule above shows that split for every payment.

The payment formula

Payment = P × r ÷ (1 − (1 + r)−n), where P is the amount borrowed, r is the rate per payment and n is the number of payments. Like most US lenders, the calculator uses r = APR ÷ payments per year, rounds the payment to the cent and adjusts the final payment so the balance ends at exactly $0.

Why extra payments save interest

Interest is charged on the balance you still owe. Any extra amount goes straight to principal, so every later payment is charged less interest and more of it pays down the loan. Your required payment stays the same; the loan just ends sooner.

Bi-weekly vs monthly

Paying every two weeks means 26 payments a year. Here a bi-weekly loan is amortized on its own schedule, at APR ÷ 26 per payment. A plan that splits a monthly payment in half and pays it every two weeks is different: it adds about one extra monthly payment a year, which you can model with “Extra once a year”.

0% loans

With no interest, each payment is simply the amount borrowed divided by the number of payments, with any leftover cents settled in the last payment. Promotional 0% offers can switch to a high rate later, so check the terms.

Interest-only and balloon loans

An interest-only period keeps payments low at first, but the balance doesn’t fall, so the payments that follow are higher. A balloon loan uses a long schedule to set the payment, then the rest of the balance is due in one large payment years earlier.

Mortgage costs beyond the loan

Property tax, home insurance, PMI and HOA dues are part of what you pay each month but not part of the loan. PMI usually applies when you put down less than 20%, and ends automatically once the balance reaches 78% of the home’s original value.