Fixed-Rate Loan Payment Calculator
How to Estimate a Loan Payment
Use one currency throughout and enter the amount actually financed, a fixed nominal annual rate and the number of monthly payments.
Select a display currency; no exchange-rate conversion occurs.
APR is not always the note rate
This payment formula uses the entered interest rate. An APR may include certain finance charges and therefore should not automatically be substituted for the contractual note rate.
A Generic Amortizing Loan—not an Offer
This canonical calculator covers a level-payment loan with a fixed rate and monthly payments. Each payment first covers accrued monthly interest and then reduces principal. The model assumes payments arrive on schedule, there are no extra payments, and the rate does not change. Origination fees and add-on products are excluded unless you include them in principal. Results cannot predict underwriting, approval, available rates or lender-specific rounding.
Loan Payment Examples
Five-year installment loan
Entered assumptions
Estimated payment
The estimate uses 60 equal scheduled payments before the final rounding adjustment.
Zero-interest financing
Entered assumptions
Estimated payment
With no interest, principal is divided evenly by the number of payments.
Test more than one term
A longer term can reduce the scheduled payment while increasing total interest.
Frequently Asked Questions
Still have questions about this calculation?
Try the CalculatorFixed-Rate Loan Formula
The standard ordinary-annuity equation solves for a level monthly payment.
Formula
Positive-rate payment
M = P × r / (1 − (1 + r)^−n)
Zero-interest payment
M = P / n
Totals
total payments = sum of rounded schedule payments; total interest = sum of rounded monthly interest
Scientific Background
The implementation rounds payment-period interest and principal to cents and adjusts the last payment. A lender may use different day-count, accrual or rounding rules.