15 Year Fixed Mortgage Rates and Payment Calculator
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Reviewed by Calculator Editorial Team
Understanding your mortgage payments is crucial when considering a home loan. Our 15-year fixed mortgage calculator helps you estimate your monthly payments, compare different loan terms, and understand how interest rates affect your payments over time.
How the 15-Year Fixed Mortgage Calculator Works
A 15-year fixed mortgage is a home loan with a fixed interest rate for 15 years. This type of loan typically offers lower interest rates than 30-year mortgages, which can result in lower monthly payments. However, because the loan term is shorter, you'll pay more in interest over the life of the loan.
Mortgage Payment Formula
The monthly payment (P) for a fixed-rate mortgage can be calculated using the formula:
P = L × [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
- L = Loan amount (principal)
- r = Monthly interest rate (annual rate divided by 12)
- n = Number of payments (loan term in years × 12)
Our calculator uses this formula to estimate your monthly payments based on the loan amount, interest rate, and loan term. It also provides a breakdown of how much you'll pay in interest over the life of the loan.
How to Use the Calculator
- Enter the loan amount you're considering. This is typically the purchase price of the home minus any down payment.
- Input the current interest rate for a 15-year fixed mortgage. You can find this rate from your lender or financial institution.
- Select the loan term (15 years in this case).
- Click the "Calculate" button to see your estimated monthly payment and total interest paid over the life of the loan.
- Review the results and compare them with other loan options if needed.
Remember that these are estimates based on the information you provide. Actual payments may vary based on your specific loan terms and conditions.
Worked Example
Let's say you're considering a $200,000 mortgage with a 15-year fixed rate of 3.5%. Here's how the calculation would work:
Example Calculation
Loan amount (L) = $200,000
Annual interest rate = 3.5% or 0.035
Monthly interest rate (r) = 0.035 / 12 ≈ 0.002917
Number of payments (n) = 15 × 12 = 180
Monthly payment (P) = $200,000 × [0.002917(1 + 0.002917)^180] / [(1 + 0.002917)^180 - 1]
P ≈ $1,424.50 per month
Total interest paid = ($1,424.50 × 180) - $200,000 ≈ $11,210
In this example, your monthly payment would be approximately $1,424.50, and you would pay about $11,210 in interest over the 15-year term.
30-Year vs 15-Year Mortgage Comparison
Here's a comparison of a $200,000 mortgage with a 3.5% interest rate for both 15-year and 30-year terms:
| Term | Monthly Payment | Total Interest Paid | Total Cost |
|---|---|---|---|
| 15 Years | $1,424.50 | $11,210 | $211,210 |
| 30 Years | $950.76 | $126,100 | $326,100 |
As you can see, the 15-year mortgage has higher monthly payments but lower total interest and total cost over the life of the loan. The 30-year mortgage has lower monthly payments but higher total interest and total cost.