- Enter home price, down payment percent, annual interest rate, and loan term in years. Term is years (15 or 30 is typical), not months.
- Click Calculate. The payment uses standard amortization: M = P × [r(1+r)^n] / [(1+r)^n − 1], where P is price after the down payment, r is the monthly rate, and n is months.
- Read monthly principal and interest, total paid, and total interest. Property tax, homeowners insurance, and PMI are not included.
Mortgage Calculator
The Mortgage Calculator is a tool to estimate your monthly mortgage payments.
How to Use This Tool
Learn More About Mortgage Calculator
Understanding Mortgage Calculations
The mortgage calculator uses a standard amortization formula to determine the monthly payment.
Amortization Formula
The formula considers the principal loan amount, interest rate, and loan term to arrive at the monthly payment.
- M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
Where: M = Monthly Payment P = Principal Loan Amount i = Monthly Interest Rate (annual rate divided by 12) n = Number of Payments (loan term in months)
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Examples
30-year loan, 20% down at 4%
{
"home_price": 300000,
"down_payment_percent": 20,
"interest_rate": 4,
"term": 30
}Home price: $300000.00 Down payment (20%): $60000.00 Loan amount: $240000.00 Rate: 4% APR Term: 30 years (360 payments) Monthly principal & interest: $1145.80 Total paid: $412486.82 Total interest: $172486.82 Taxes, insurance, and PMI are not included.
15-year loan, 10% down at 3.5%
{
"home_price": 500000,
"down_payment_percent": 10,
"interest_rate": 3.5,
"term": 15
}Home price: $500000.00 Down payment (10%): $50000.00 Loan amount: $450000.00 Rate: 3.5% APR Term: 15 years (180 payments) Monthly principal & interest: $3216.97 Total paid: $579054.86 Total interest: $129054.86 Taxes, insurance, and PMI are not included.
Use Cases
- Estimating monthly mortgage payments for a home purchase
- Comparing different mortgage options
- Determining the affordability of a home
- Planning a budget for homeownership