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Mortgage Calculator 15

Reviewed by Calculator Editorial Team

A 15-year mortgage calculator helps you determine your monthly payments, total interest costs, and amortization schedule for a 15-year loan term. This tool is useful for comparing different mortgage options and understanding the financial commitment of a 15-year loan versus longer terms.

How to Use This Calculator

To calculate your 15-year mortgage payments:

  1. Enter the loan amount you're seeking (e.g., $200,000).
  2. Input your annual interest rate (e.g., 3.5%).
  3. Select the loan term (15 years).
  4. Click "Calculate" to see your monthly payment, total interest, and amortization schedule.

The calculator uses the standard mortgage formula to provide accurate results. You can adjust the inputs to see how changes affect your payments.

Formula Used

The monthly mortgage payment is calculated using the following 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 interest on the remaining balance each month, creating a fixed monthly payment that gradually reduces the principal.

Worked Example

Let's calculate a 15-year mortgage for $200,000 at 3.5% annual interest:

  1. Convert annual interest to monthly: 3.5% ÷ 12 = 0.2917% or 0.002917 in decimal.
  2. Calculate number of payments: 15 years × 12 = 180 payments.
  3. Plug values into the formula:

    M = $200,000 [ 0.002917(1 + 0.002917)180 ] / [ (1 + 0.002917)180 - 1 ]

  4. The calculation yields a monthly payment of approximately $1,225.50.

Over 15 years, you would pay $222,182 in total, with $22,182 going to interest.

Frequently Asked Questions

What is a 15-year mortgage?
A 15-year mortgage is a home loan with a 15-year repayment term. It typically offers lower monthly payments than longer-term loans but requires higher monthly payments to pay off the loan faster.
How does a 15-year mortgage compare to a 30-year mortgage?
A 15-year mortgage usually has lower monthly payments but higher total interest costs. It's suitable for those who can afford higher payments and want to own a home sooner. A 30-year mortgage offers lower total interest costs but higher monthly payments.
What factors affect my mortgage payment?
Your mortgage payment is affected by the loan amount, interest rate, loan term, and any additional fees or points you pay upfront.