Mortgage Calculator
Your monthly mortgage payment is calculated from three inputs — loan amount, interest rate, and loan term — using a standard amortization formula. Enter your numbers below to see the exact payment, a full principal-and-interest breakdown, and a year-by-year amortization schedule. Adjust any value to compare different scenarios instantly.
Your loan
Taxes, insurance and extra payments
$0.00
on a $0 loan at 0% loan-to-value
- Principal & interest
- $0.00
- Property tax
- $0.00
- Home insurance
- $0.00
- PMI
- $0.00
- HOA dues
- $0.00
- Total monthly
- $0.00
Principal overtakes interest in month 0 (—), then most of every payment is yours.
- Total of payments
- $0
- Paid off
- —
- PMI cancellable
- month —
Estimates from the figures you entered, not a loan offer. Taxes and insurance vary by property; your lender's escrow figure is the one that counts.
How the monthly payment formula works
Every fixed-rate mortgage payment comes from one formula: M = P × r × (1 + r)n / ((1 + r)n − 1). Here P is the loan principal, r is the monthly interest rate (your annual rate divided by 12), and n is the total number of monthly payments (loan term in years multiplied by 12).
The formula produces the same dollar amount each month, but what that payment covers shifts over time:
- In early months, the outstanding balance is large, so most of the payment goes to interest.
- As you pay down principal, the interest share shrinks and more of each payment reduces what you owe.
- By the final years, nearly the entire payment is principal.
This shift is called amortization. A 30-year borrower pays far more interest in the first decade than the last. Entering different terms or rates in the calculator above shows exactly how this split changes — and where extra payments have the greatest impact on total interest paid.
Year-by-year amortization schedule
| Year | Principal paid | Interest paid | Balance |
|---|
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