Calculate loan payments, total interest, and amortization
A loan calculator determines your monthly payment, total interest paid, and full amortization schedule based on the loan amount, interest rate, and term. It applies to auto loans, personal loans, student loans, and any fixed-rate installment loan.
Monthly Payment = P × [r(1+r)^n] / [(1+r)^n − 1], where P = principal, r = monthly interest rate, n = number of payments
Using the amortization formula: Payment = P × [r(1+r)^n] / [(1+r)^n − 1], where P is the loan amount, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments.
Interest is charged on the remaining balance, which is highest at the start, so a larger share of each early payment covers interest; as the balance shrinks, more of each payment goes to principal.
Extra payments reduce the principal balance directly, which reduces the interest charged on all future payments, shortening the loan term. Even modest extra payments early in the loan can save significant total interest.
For most personal and auto loans they're the same. For some mortgages, the amortization period (used to calculate the payment) can be longer than the loan term (when the balance is due or refinanced), which matters for balloon-payment loans.
Usually yes — a shorter term means less time for interest to accrue, so total interest paid is lower, even though the monthly payment is higher.