Calculate 15 Year Fixed Rate Mortgage

Calculating a 15-year fixed rate mortgage helps you understand your monthly payments, total interest costs, and how your loan amortizes over time. This calculator provides an estimate based on standard mortgage terms and assumptions.

How to Use This Calculator

To calculate your 15-year fixed rate mortgage:

Enter the loan amount you're seeking (e.g., $200,000)
Input your current interest rate (e.g., 4.5%)
Select the loan term (15 years is fixed for this calculator)
Click "Calculate" to see your estimated monthly payment and total interest

The calculator uses the standard mortgage formula to provide an accurate estimate. For a more precise calculation, consult with a mortgage lender.

Formula Used

Mortgage Payment Formula

The monthly payment (PMT) for a fixed rate mortgage is calculated using the formula:

PMT = P × [r(1 + r)^n] / [(1 + r)^n - 1]

Where:

P = Principal loan amount
r = Monthly interest rate (annual rate ÷ 12 ÷ 100)
n = Number of payments (loan term in years × 12)

This formula accounts for the amortization of the loan over the term, showing how much of each payment goes toward interest and principal.

Worked Example

Let's calculate a $200,000 mortgage at 4.5% interest over 15 years:

Convert annual rate to monthly: 4.5% ÷ 12 = 0.375% or 0.00375
Number of payments: 15 × 12 = 180
Plug into formula: PMT = 200,000 × [0.00375(1 + 0.00375)^180] / [(1 + 0.00375)^180 - 1]
Calculate: PMT ≈ $1,284.50 per month

Over 15 years, you would pay approximately $2,312,200 total, with $312,200 going to interest.

Note

This is an estimate. Actual payments may vary based on your lender's specific terms and fees.

Frequently Asked Questions

What is a 15-year fixed rate mortgage?: A 15-year fixed rate mortgage is a home loan where the interest rate remains constant for the entire 15-year term, resulting in lower monthly payments compared to 30-year loans.
How does a fixed rate mortgage work?: With a fixed rate mortgage, your interest rate doesn't change during the loan term. This provides stability in your monthly payments and protects you from rising interest rates.
What are the benefits of a 15-year mortgage?: Benefits include lower monthly payments, potential tax benefits, and the opportunity to pay off the mortgage early without penalty.
What are the risks of a 15-year mortgage?: Risks include higher total interest payments over the life of the loan and the need to maintain payments for a shorter period.
How does a 15-year mortgage compare to a 30-year mortgage?: A 15-year mortgage typically has lower monthly payments but higher total interest costs. A 30-year mortgage has higher monthly payments but lower total interest over time.