15 Year Mtg Calculator

This 15-year mortgage calculator helps you estimate your monthly payments, total interest paid, and amortization schedule for a 15-year mortgage term. Whether you're comparing loan options or planning your budget, this tool provides quick, accurate results based on standard mortgage calculations.

How to Use This Calculator

Using our 15-year mortgage calculator is simple:

Enter the loan amount you're considering (e.g., $200,000)
Input your current interest rate (e.g., 4.5%)
Click "Calculate" to see your estimated monthly payment
Review the results including total interest paid and amortization details

The calculator uses standard mortgage formulas to provide accurate estimates. For precise results, consult with a mortgage professional or lender.

Formula Used

The calculator uses the standard mortgage payment formula:

Mortgage Payment Formula

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

Where:

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

For a 15-year mortgage, n equals 180 (15 years × 12 months). The calculator automatically applies this term when you select the 15-year option.

Worked Example

Let's calculate a 15-year mortgage for $200,000 at 4.5% interest:

Principal (P) = $200,000
Annual interest rate = 4.5% or 0.045
Monthly interest rate (i) = 0.045/12 ≈ 0.003792
Number of payments (n) = 15 × 12 = 180

Plugging these into the formula:

Calculation Steps

M = $200,000 [ 0.003792(1 + 0.003792)^180 ] / [ (1 + 0.003792)^180 - 1 ]

M ≈ $200,000 [ 0.003792 × 1.756 ] / [ 1.756 - 1 ]

M ≈ $200,000 [ 0.00664 ] / 0.756

M ≈ $1,328.50 per month

Over 15 years, you would pay approximately $1,328.50 per month, with a total of $2,407,300 paid (including principal and interest).

Frequently Asked Questions

What is a 15-year mortgage?

A 15-year mortgage is a home loan with a repayment term of 15 years (180 months) instead of the more common 30-year term. These loans typically have lower monthly payments but higher total interest costs compared to longer-term mortgages.

How do I qualify for a 15-year mortgage?

Qualification requirements are similar to 30-year mortgages, but lenders may have specific criteria for 15-year loans. You'll typically need good credit, a stable income, and sufficient down payment. Some lenders may require higher credit scores for 15-year terms.

Are 15-year mortgages better than 30-year?

15-year mortgages can be beneficial if you plan to sell or refinance before the term ends, as you'll pay less interest over the life of the loan. However, they have higher monthly payments and may not be suitable if you plan to stay in the home long-term.