Mortgage Calculator
Estimate your monthly mortgage payment, total interest, and view a full amortization schedule.
Monthly Payment (PITI)
$0
Total Interest
$0
Total Cost
$0
Amortization Schedule
| Month | Payment | Principal | Interest | Balance |
|---|
How Does a Mortgage Work?
A mortgage is a loan used to purchase real estate, where the property itself serves as collateral. In the United States, the most common mortgage terms are 15, 20, and 30 years with a fixed interest rate. Your monthly payment is typically made up of four components known as PITI: principal, interest, property taxes, and homeowner's insurance. Understanding each component helps you budget accurately and compare loan offers from different lenders.
The Mortgage Payment Formula
The principal and interest portion is calculated using 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 divided by 12), and n is the total number of monthly payments. Property tax and insurance are then added to arrive at the full monthly PITI payment.
Using This Calculator
Enter your home price, down payment amount or percentage, desired loan term, and the interest rate you have been quoted. You can also include monthly property tax and insurance costs for a complete picture of your housing expense. The calculator instantly shows your monthly payment with a PITI breakdown, total interest over the life of the loan, total cost, and a visual donut chart. The amortization schedule below reveals exactly how each payment is split between principal and interest month by month, helping you see how your equity builds over time.
Comparing different scenarios — such as a larger down payment, shorter term, or lower rate — can save you tens of thousands of dollars. Use the share button to bookmark or send a specific calculation, and print results to keep a record when meeting with your lender.
Formula
M = P × [r(1 + r)n] / [(1 + r)n − 1]
Where:
- M = monthly mortgage payment
- P = principal loan amount
- r = monthly interest rate (annual rate ÷ 12)
- n = total number of monthly payments (years × 12)
Example Calculation
Scenario: $300,000 home with 20% down payment, 6.5% interest rate, 30-year term
- Step 1: Loan amount P = $300,000 − $60,000 down payment = $240,000
- Step 2: Monthly rate r = 6.5% ÷ 12 = 0.005417
- Step 3: Total payments n = 30 × 12 = 360
- Step 4: M = $240,000 × [0.005417(1.005417)360] / [(1.005417)360 − 1]
- Result: Monthly payment = $1,517.09 | Total interest paid = $306,152.40
This calculator is for informational purposes only and does not constitute financial, tax, or legal advice. Always consult a qualified professional for decisions specific to your situation.