Use the mortgage payment calculator to estimate your monthly mortgage payments based on your home price, down payment, interest rate, and loan term.

Mortgage Payment Calculation Formula

The following formula is used to calculate the monthly mortgage payment:

Monthly Payment = Loan Amount * (Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

Variables:

  • Loan Amount is the total amount borrowed ($)
  • Monthly Interest Rate is the annual interest rate divided by 12
  • Number of Payments is the total number of monthly payments (Loan Term in months)

To calculate the monthly payment, multiply the loan amount by the monthly interest rate and divide by the difference of one minus the result of (1 + monthly interest rate) raised to the power of negative number of payments.

What is a Mortgage Payment?

A mortgage payment is a monthly payment made by a borrower to a lender to repay a loan used to purchase real estate. This payment typically includes the principal amount borrowed, interest on the loan, property taxes, homeowner’s insurance, and possibly private mortgage insurance (PMI) if the down payment is less than 20%.

How to Calculate Your Monthly Mortgage Payment?

Calculating your monthly mortgage payment involves several steps:


  1. Determine the home price and the amount of your down payment.
  2. Calculate the loan amount by subtracting the down payment from the home price.
  3. Identify the interest rate and the loan term in years.
  4. Convert the annual interest rate to a monthly rate by dividing by 12.
  5. Calculate the total number of payments by multiplying the loan term in years by 12.
  6. Use the mortgage payment formula to calculate your monthly payment.
  7. For a more comprehensive estimate, consider adding property taxes, homeowner’s insurance, and any HOA fees to your monthly payment.

Example Problem:

Use the following variables as an example problem to test your knowledge:

Home Price = $600,000

Down Payment = $120,000

Interest Rate = 3.5%

Loan Term = 30 years

FAQ

1. What is the difference between principal and interest?

The principal is the amount of money you borrow, while the interest is the cost of borrowing that money, expressed as a percentage of the principal.

2. What is PMI and when do I need it?

Private Mortgage Insurance (PMI) is insurance that protects the lender if you default on your loan. It is typically required if your down payment is less than 20% of the home’s purchase price.

3. How can I lower my monthly mortgage payment?

You can lower your monthly mortgage payment by increasing your down payment, securing a lower interest rate, or extending the loan term.

4. Are property taxes included in my mortgage payment?

Yes, property taxes are often included in your monthly mortgage payment and are held in an escrow account until they are due.

5. Can I pay off my mortgage early?

Yes, many lenders allow you to pay off your mortgage early, but be sure to check for any prepayment penalties that may apply.