15 Mortgage Calculator

Calculate your 15-year mortgage payments with this free online calculator. Get accurate monthly payment estimates, total interest paid, and amortization schedule breakdowns for your home loan.

How to Use This Calculator

Using our 15 mortgage calculator is simple:

Enter the loan amount you're considering
Input your current interest rate
Select the loan term (15 years in this case)
Click "Calculate" to see your monthly payment

The calculator will show you your estimated monthly payment, total interest paid over the loan term, and a breakdown of how your payments are applied to principal and interest.

Formula Used

The monthly mortgage payment 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
i = Monthly interest rate (annual rate divided by 12)
n = Number of payments (loan term in years × 12)

This formula accounts for the fact that each monthly payment includes both principal and interest, with the interest portion decreasing over time as the principal balance is paid down.

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 = 0.00375
Number of payments (n) = 15 × 12 = 180

Plugging these into the formula:

M = 200,000 [0.00375(1 + 0.00375)¹⁸⁰] / [(1 + 0.00375)¹⁸⁰ - 1]

Calculating the components:

(1 + 0.00375)¹⁸⁰ ≈ 4.427
Numerator = 200,000 × 0.00375 × 4.427 ≈ 3,344.25
Denominator = 4.427 - 1 = 3.427
M ≈ 3,344.25 / 3.427 ≈ $975.98

So your estimated monthly payment would be $975.98, with a total interest payment of approximately $114,594 over 15 years.

15-Year vs 30-Year Mortgages

Here's a comparison of key metrics for a $200,000 mortgage at 4.5% interest:

Term	Monthly Payment	Total Interest Paid	Total Payments
15 years	$975.98	$114,594	$214,594
30 years	$728.03	$180,969	$280,969

The 15-year mortgage offers lower monthly payments but higher total interest costs. The 30-year mortgage has lower total interest but higher monthly payments. Consider your financial situation and how long you plan to stay in the home when choosing between these options.

Frequently Asked Questions

How does a 15-year mortgage differ from a 30-year mortgage?

A 15-year mortgage has a shorter repayment term, resulting in higher monthly payments but lower total interest costs. It's suitable for homeowners who plan to sell or refinance before the 15 years are up.

What are the benefits of a 15-year mortgage?

Benefits include lower total interest payments, potential tax benefits, and the ability to build equity faster. However, the higher monthly payments may be challenging for some borrowers.

Can I get a 15-year mortgage with bad credit?

It's more difficult but possible. Lenders may offer higher interest rates or require larger down payments for borrowers with poor credit. It's best to shop around and compare offers.

What are the closing costs for a 15-year mortgage?

Closing costs are typically similar to a 30-year mortgage, ranging from 2-5% of the loan amount. Common costs include appraisal fees, title insurance, and origination fees.

How does a 15-year mortgage affect my credit score?

Making consistent, on-time payments will help maintain or improve your credit score. However, the shorter term means your credit report will show fewer payment histories for that loan.