Mortgage Payment Calculator
Your Estimated Monthly Mortgage Payment:
Understanding Your Mortgage Payment
A mortgage is a significant financial commitment, and understanding how your monthly payment is calculated is crucial for budgeting and financial planning. The monthly mortgage payment, often referred to as P&I (Principal and Interest), is determined by several key factors: the loan principal, the annual interest rate, and the loan term.
Key Components of Your Mortgage Payment:
- Loan Principal: This is the total amount of money you are borrowing from the lender to purchase your home. It's the original balance of your mortgage.
- Annual Interest Rate: This is the percentage charged by the lender for borrowing the money. Mortgage interest rates can be fixed (stay the same for the life of the loan) or adjustable (change periodically based on market conditions).
- Loan Term: This is the length of time you have to repay the loan, typically expressed in years. Common loan terms include 15-year and 30-year mortgages. A shorter loan term usually means higher monthly payments but less interest paid overall. A longer loan term typically results in lower monthly payments but more interest paid over the life of the loan.
How the Monthly Payment is Calculated:
The standard formula used to calculate the monthly principal and interest payment for a mortgage is the annuity formula:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
Where:
Mis your total monthly mortgage payment.Pis the principal loan amount (the amount you borrow).iis your monthly interest rate (your annual interest rate divided by 12).nis the total number of payments over the loan's lifetime (your loan term in years multiplied by 12).
For example, if you borrow $200,000 at an annual interest rate of 5% for 30 years, your monthly interest rate would be (5% / 12) = 0.00416667, and the total number of payments would be 30 * 12 = 360. Plugging these values into the formula helps determine your fixed monthly P&I payment.
It's important to note that this calculation typically only covers the principal and interest. Your actual total monthly housing expense may also include property taxes, homeowner's insurance, and potentially Private Mortgage Insurance (PMI) or Homeowners Association (HOA) fees. These additional costs are often collected by the lender in an escrow account and paid out on your behalf.
Use our calculator above to get an estimate of your monthly mortgage payment based on the principal amount, interest rate, and loan term. This tool can help you explore different scenarios and understand the financial implications of various loan options.