Mortgage Calculator Formula & How It Works
- M = Monthly payment
- P = Principal loan amount (home price minus down payment)
- r = Monthly interest rate = Annual Rate ÷ 12 ÷ 100
- n = Total payments = Loan term in years × 12
Each monthly payment covers interest on the remaining balance plus a portion of principal. Early payments are mostly interest; later payments repay more principal. This gradual shift is mortgage amortization and the formula ensures full repayment in exactly n payments.