What Is the Formula for Calculating Your Monthly Loan Payment?

Learn the formula to calculate monthly loan payments accurately using principal, interest rate, and loan term.

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To find the monthly payment for a loan, use the formula: M = P[r(1+r)^n]/[(1+r)^n - 1]. Here, M is the monthly payment, P is the loan principal, r is the monthly interest rate (annual rate divided by 12), and n is the number of payments (loan term in years multiplied by 12). This formula helps you determine what you need to budget each month to pay off your loan on time.

FAQs & Answers

  1. What does each variable represent in the monthly payment formula? In the formula M = P[r(1+r)^n] / [(1+r)^n - 1], M is the monthly payment, P is the loan principal, r is the monthly interest rate, and n is the total number of monthly payments.
  2. How do I convert an annual interest rate to a monthly interest rate? Divide the annual interest rate by 12 to find the monthly interest rate used in the monthly payment formula.
  3. Can this formula be used for all types of loans? This formula is typically applicable for fixed-rate loans with equal monthly payments, such as mortgages or personal loans.

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