How mortgage payments are calculated
A mortgage payment is made up of several components, but the core calculation is the principal and interest (P&I) payment. Lenders use the standard amortization formula:
- M = monthly principal & interest payment
- P = principal loan amount (home price β down payment)
- r = monthly interest rate (annual rate Γ· 12 Γ· 100)
- n = total number of monthly payments (loan term in years Γ 12)
Principal
The principal is the amount you borrow. Early in the loan, most of your payment goes toward interest; over time, more goes toward principal. This is the core of amortization.
Interest
Interest is the cost of borrowing money, expressed as an annual percentage rate (APR). Your monthly interest is calculated on the remaining loan balance, so as the balance drops, the interest portion shrinks.
Down payment
The down payment reduces the loan amount. A larger down payment means a smaller loan, lower monthly payments, and often a better interest rate. Many conventional loans require 20% down to avoid private mortgage insurance (PMI).
Interest rate
Even a small change in your interest rate can significantly affect your monthly payment and total interest. Shop around and consider locking your rate when you're ready.
Loan term
A 30-year term gives lower monthly payments but more total interest. A 15-year term has higher monthly payments but saves significantly on interest. Choose based on your budget and goals.
Amortization
Amortization is the schedule of loan payments over time. Each payment is split between principal and interest. Our amortization preview shows how your balance declines month by month.
Total interest
Total interest is the sum of all interest payments over the life of the loan. It can be surprisingly large β often close to or more than the original loan amount on a 30-year mortgage.
Taxes and insurance
Property taxes, homeowners insurance, and HOA fees are often collected monthly in an escrow account. These vary widely by location and property type, so we show them separately from P&I. Always confirm actual amounts with your lender and local tax authority.
Worked example
Suppose you buy a $400,000 home with a 20% down payment ($80,000). Your loan amount is $320,000 at 6.5% for 30 years.
- Monthly interest rate: 6.5% Γ· 12 Γ· 100 = 0.0054167
- Number of payments: 30 Γ 12 = 360
- Monthly P&I β $2,023
- Total interest β $408,282
- Total paid β $728,282
Adding $350/month property tax, $150/month insurance, and $0 HOA gives an estimated total monthly payment of about $2,523.