How to use the mortgage calculator
Enter the home price and your down payment, either as a percentage of the price or as an amount. Add the annual interest rate and choose a loan term of 10, 15, 20 or 30 years, or pick Other to type any whole number of years up to 50.
The optional fields cover the other costs that usually come with a home: yearly property tax, yearly home insurance and a monthly HOA (homeowners association) fee. Leave any of them empty if they do not apply. Press Calculate to see the loan amount, the monthly principal and interest, the total monthly payment and the total interest over the life of the loan.
How the payment is calculated
The loan amount is the home price minus the down payment. The principal and interest part of the payment uses the annuity formula:
M = P × r / (1 − (1 + r)^−n)
Here P is the loan amount, r is the annual rate divided by 12 (as a decimal) and n is the number of monthly payments. The total monthly payment is M plus one twelfth of the yearly property tax and insurance, plus the monthly HOA fee.
Worked example
A 400,000 home with 20% down leaves a loan of 320,000. At 7% for 30 years, r is 0.07 / 12 and n is 360, giving principal and interest of 2,128.97 a month. With 4,800 a year in property tax (400 a month), 1,200 a year in insurance (100 a month) and a 50 HOA fee, the total monthly payment is 2,678.97. Over 30 years the interest alone adds up to about 446,428.47.
Reading the amortization table
Each row shows one year of the loan: how much interest you paid, how much went toward the principal and the balance left at the end of that year. In the early years most of the payment is interest; the balance falls faster toward the end.
Good to know
- Results are estimates. Taxes, insurance premiums and HOA fees change over time, and the calculator does not include private mortgage insurance (PMI), closing costs or points.
- The calculator assumes a fixed rate for the whole term. Adjustable-rate loans can change after the initial period.
- A larger down payment lowers both the monthly payment and the total interest.
- A 15-year term has a higher payment than a 30-year term but usually far less total interest.