Loan Calculator
Calculate monthly payments, total interest, and payoff time for any standard loan.
Enter your values and click Calculate
How It Works
The standard amortization formula calculates your fixed monthly payment: M = P ร r(1 + r)^n / [(1 + r)^n โ 1], where P is the loan principal, r is the monthly interest rate (annual APR รท 12), and n is the total number of monthly payments. This formula ensures that equal monthly payments will retire the entire balance plus interest by the final payment. When an extra monthly payment is entered, the calculator switches to a month-by-month simulation: each month it charges interest on the current balance, applies the total payment, and reduces the balance by the principal component. The simulation runs until the balance reaches zero, counting the months elapsed and summing total interest charged. The difference between the simulation results with and without the extra payment reveals the time and interest savings.