Mortgage Calculator
Calculate your monthly mortgage payment, total interest, and full loan cost. Enter loan amount, interest rate, and loan term to get instant results.
Mortgage Formula (Monthly Payment):
M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ−1]
Where: P = Principal, r = monthly rate, n = total payments
Mortgage Calculator
What Is a Mortgage Calculator?
A mortgage calculator is a financial tool that helps you estimate your monthly mortgage payment based on the loan amount, interest rate, and loan term. Whether you are buying your first home or refinancing an existing loan, this calculator gives you the numbers you need. Compare mortgage options and make informed decisions.
The NIST and the National Institute of Standards recommend using standardized formulas for financial calculations. Understanding your mortgage payment before you commit is one of the most important steps in the home-buying process. Our free mortgage calculator instantly shows your monthly payment, total amount paid over the life of the loan, and the total interest cost.
How to Use the Mortgage Calculator
Using the mortgage calculator is straightforward. Enter three values:
- Loan Amount: The total amount you plan to borrow. This is the home purchase price minus your down payment.
- Annual Interest Rate: The yearly interest rate on your mortgage, expressed as a percentage. Check with your lender or look up current mortgage rates.
- Loan Term: The number of years over which you will repay the loan. Common terms are 15 years and 30 years.
Click Calculate, and the tool instantly displays your monthly payment, total payment, and total interest paid.
The Mortgage Payment Formula
The formula used to calculate monthly mortgage payments is:
M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ−1]
Where:
- M = Monthly payment
- P = Principal loan amount
- r = Monthly interest rate (annual rate ÷ 12)
- n = Total number of payments (years × 12)
For example, on a $300,000 loan at 6.5% annual interest for 30 years: r = 6.5% ÷ 12 = 0.5417%, n = 360 payments. Monthly payment = $1,896.20.
Understanding Your Mortgage Results
Monthly Payment
This is the amount you pay every month to the lender. It includes both principal (reducing your loan balance) and interest (the cost of borrowing). Over time, a larger portion of each payment goes toward principal as the loan balance decreases — this is called amortization.
Total Payment
This is the total amount you will pay over the entire life of the loan — the sum of all monthly payments. For a 30-year mortgage, this is 360 monthly payments added together.
Total Interest
This is the total interest cost — the difference between total payment and the original loan amount. This number often surprises first-time buyers. On a $300,000 loan at 6.5% for 30 years, total interest paid is approximately $382,632 — more than the original loan amount.
15-Year vs. 30-Year Mortgage
The loan term dramatically affects both your monthly payment and total interest paid:
- 30-year mortgage: Lower monthly payment, but significantly more interest paid over time. Better for cash flow if monthly budget is tight.
- 15-year mortgage: Higher monthly payment, but builds equity faster and saves tens of thousands in interest. Best if you can afford the higher payment.
Use the calculator to compare both terms with your specific loan amount and rate. The difference in total interest is often eye-opening.
Factors That Affect Your Mortgage Payment
Down Payment
A larger down payment reduces the loan amount, which directly lowers your monthly payment and total interest. A 20% down payment also typically eliminates the need for private mortgage insurance (PMI), which can add $100–$200 per month to your costs.
Credit Score
Your credit score significantly impacts the interest rate you qualify for. A higher score means a lower rate and lower monthly payments. Improving your credit score before applying for a mortgage can save thousands of dollars over the life of the loan.
Interest Rate Type
Fixed-rate mortgages maintain the same interest rate for the entire loan term, making your payment predictable. Adjustable-rate mortgages (ARMs) start with a lower rate that can change after a set period, introducing uncertainty into your future payments.
How to Lower Your Monthly Mortgage Payment
- Increase your down payment to reduce the loan principal
- Improve your credit score to qualify for a lower interest rate
- Choose a longer loan term (30 years vs. 15 years) to spread payments out
- Shop multiple lenders to compare rates — even 0.5% difference saves thousands
- Buy a less expensive home to reduce the principal
What Is Not Included in This Calculator
This mortgage calculator calculates principal and interest only. Your actual monthly housing costs may also include:
- Property taxes: Typically 1–2% of home value annually, paid monthly through escrow
- Homeowner's insurance: Required by lenders, typically $1,000–$2,000 per year
- PMI: Required if your down payment is less than 20%
- HOA fees: If the property is in a homeowners association
Related Financial Calculators
- Compound Interest Calculator — See how your savings grow
- Savings Calculator — Plan your down payment savings
- Interest Rate Calculator — Calculate effective interest rates
- Percentage Calculator — Calculate percentages for down payments and rates
