How Mortgage Payments Are Calculated: The Amortization Formula
A fixed-rate mortgage payment uses the standard amortization formula: M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1], where P is the loan amount (home price minus down payment), r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments (years × 12). The result M is the fixed monthly principal-and-interest payment. Early in the loan, most of each payment goes to interest; over time, the split shifts toward principal. An amortization schedule shows this split month-by-month. Our calculator generates the schedule automatically so you can see exactly how much of each payment reduces your loan balance.