Financial calculator

Mortgage Calculator

Enter a home price, down payment, rate, and loan term. Results update as you type.

Inputs

Core loan values first. Taxes, insurance, and PMI are optional estimates.

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$

PMI is estimated when the down payment is under 20%.

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%
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$
Extra payments
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$
$

Estimated monthly payment

$0.00
Loan amount $0
Down payment 0%
Total interest $0
Estimated total cost $0
Payoff date --
Payoff time --
Principal & interest $0.00
Extra principal $0

Monthly payment breakdown

Property tax$0.00
Home insurance$0.00
PMI$0.00
HOA$0.00
Other costs$0.00

Amortization schedule

This table groups payments by year so you can see how much goes toward principal, interest, estimated taxes and fees, and the remaining balance.

Year Principal Interest Taxes & fees Extra paid Balance

Mortgage payment formula

For a fixed-rate mortgage, the principal and interest payment is based on the loan balance, monthly interest rate, and number of monthly payments.

M = P × r(1 + r)^n / ((1 + r)^n - 1)

In this formula, M is the monthly principal and interest payment, P is the loan amount, r is the monthly interest rate, and n is the total number of monthly payments.

What is included in this mortgage calculator?

  • Principal and interest for fixed-rate loans.
  • Estimated property tax from a yearly tax rate.
  • Homeowners insurance from an annual premium.
  • Private mortgage insurance when the down payment is below 20%.
  • Monthly HOA dues, other costs, optional extra payments, and a yearly amortization schedule.

What does this calculator do?

This mortgage calculator estimates the full monthly housing payment, including loan principal and interest plus optional taxes, insurance, PMI, HOA, and extra payments.

Formula

Principal and interest use the fixed-payment loan formula. Monthly taxes, insurance, PMI, and HOA are added to estimate the total monthly payment.

Example calculation

For a $400,000 home with 20% down, the loan principal is $320,000. The calculator applies the interest rate and term, then adds recurring ownership costs.

Common use cases

  • Home affordability checks
  • Comparing down payment scenarios
  • Estimating PMI, taxes, insurance, and payoff timing

Limitations and accuracy notes

This tool is for quick planning and education. Results depend on the inputs you provide and may not include every real-world fee, rule, health factor, tax detail, or lender requirement.

Mortgage calculator FAQ

What is included in a monthly mortgage payment?

A typical mortgage payment can include principal and interest, property tax, homeowners insurance, PMI, and HOA dues.

When does PMI apply?

PMI often applies when the down payment is below 20%. This calculator estimates PMI only when the down payment is under that threshold.

How is mortgage interest calculated?

Fixed-rate mortgage interest uses the loan balance, annual interest rate, and payment term to calculate a monthly payment.