Monthly Payment 15 Year Mortgage Calculator

Calculate your monthly mortgage payments for a 15-year loan with our free online calculator. Understand how interest rates, loan amounts, and down payments affect your monthly payments and total interest paid.

How to Use This Calculator

This mortgage calculator helps you determine your monthly payment for a 15-year fixed-rate loan. Simply enter your loan amount, interest rate, and down payment (if any), then click "Calculate" to see your estimated monthly payment.

Note: This calculator provides an estimate based on standard mortgage formulas. Actual payments may vary depending on your lender's specific terms and conditions.

Key Inputs

Loan Amount: The total amount you want to borrow for your mortgage.
Interest Rate: The annual percentage rate (APR) charged by your lender.
Down Payment: The amount you pay upfront as a percentage of the loan amount.

Understanding the Results

The calculator will display:

Your estimated monthly payment
Total amount paid over the life of the loan
Total interest paid
A breakdown of principal and interest payments over time

Formula Used

The monthly payment for a mortgage is calculated using the standard mortgage formula:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ - 1]

Where:

M = Monthly payment
P = Principal loan amount (loan amount minus down payment)
i = Monthly interest rate (annual rate divided by 12)
n = Number of payments (loan term in years multiplied by 12)

For a 15-year mortgage (180 payments), the formula becomes:

M = P [i(1 + i)¹⁸⁰] / [(1 + i)¹⁸⁰ - 1]

This formula accounts for the amortization of the loan, where each payment covers both principal and interest.

Worked Example

Let's calculate a monthly payment for a $200,000 mortgage with a 3.5% interest rate and a 10% down payment.

Step 1: Calculate the Principal

Down payment = 10% of $200,000 = $20,000

Principal = $200,000 - $20,000 = $180,000

Step 2: Convert Annual Rate to Monthly

Monthly interest rate = 3.5% / 12 = 0.0029167 (or 0.29167%)

Step 3: Apply the Mortgage Formula

Using the formula with n = 180 (15 years × 12 months):

M = $180,000 [0.0029167(1 + 0.0029167)¹⁸⁰] / [(1 + 0.0029167)¹⁸⁰ - 1]

Calculating the components:

(1 + 0.0029167)¹⁸⁰ ≈ 3.225
Numerator = $180,000 × 0.0029167 × 3.225 ≈ $1,655.46
Denominator = 3.225 - 1 = 2.225
Monthly payment ≈ $1,655.46 / 2.225 ≈ $744.00

Therefore, the estimated monthly payment would be approximately $744.

Note: This is an estimate. Your actual payment may vary based on your lender's specific terms and any additional fees.

Frequently Asked Questions

What is a 15-year mortgage?: A 15-year mortgage is a home loan that is repaid over 15 years (180 months) with fixed monthly payments. These loans typically have lower monthly payments than 30-year mortgages but require higher payments during the early years.
How does a 15-year mortgage compare to a 30-year mortgage?: 15-year mortgages generally have lower monthly payments but higher total interest costs. They're suitable for homeowners who plan to sell or refinance before the 15 years are up. 30-year mortgages have higher monthly payments but lower total interest costs.
What factors affect my monthly mortgage payment?: Your monthly payment is primarily determined by the loan amount, interest rate, and loan term. Other factors include down payment, points (prepaid interest), and private mortgage insurance (PMI) if you have less than 20% down.
Can I make extra payments on a 15-year mortgage?: Yes, you can make extra payments on a 15-year mortgage. These can reduce your principal balance faster, lower your total interest paid, and potentially allow you to pay off the loan early.
What happens if I can't make my mortgage payments?: If you can't make your mortgage payments, you should contact your lender immediately. Missing payments can lead to late fees, higher interest rates, and potential foreclosure. Many lenders offer loan modification programs for struggling homeowners.