15 Year Fixed Mortgage Full Payment Calculator
This 15-year fixed mortgage full payment calculator helps you determine the total amount you'll pay over the life of your loan, including principal and interest. Understanding your full payment obligation is crucial for financial planning and budgeting.
How to Use This Calculator
To use this calculator, follow these simple steps:
- Enter the loan amount you're seeking (the principal)
- Input the annual interest rate (APR)
- Select the loan term (15 years for this calculator)
- Click "Calculate" to see your results
The calculator will display your monthly payment amount, total interest paid over the loan term, and the total amount paid (principal + interest).
Formula Used
The calculation uses the standard mortgage payment formula:
This formula accounts for the amortization of the loan over time, showing how much of each payment goes toward interest and principal.
Worked Example
Let's calculate a $200,000 loan at 4.5% APR over 15 years:
- Monthly interest rate = 4.5% ÷ 12 = 0.375% or 0.00375
- Number of payments = 15 × 12 = 180
- Using the formula:
M = 200,000 [ 0.00375(1 + 0.00375)^180 ] / [ (1 + 0.00375)^180 - 1 ]
- The calculation yields a monthly payment of approximately $1,224.42
- Total amount paid over 15 years = $1,224.42 × 180 = $220,396
- Total interest paid = $220,396 - $200,000 = $20,396
Note: This is an estimate. Actual payments may vary slightly based on your lender's specific calculation methods.
Comparison of 15-Year vs 30-Year Mortgages
Here's a comparison of a $200,000 loan at 4.5% APR for both terms:
| Term | Monthly Payment | Total Interest Paid | Total Amount Paid |
|---|---|---|---|
| 15 years | $1,224.42 | $20,396 | $220,396 |
| 30 years | $821.14 | $123,742 | $323,742 |
The 15-year mortgage offers lower monthly payments but pays significantly more in interest over the life of the loan. The 30-year mortgage has lower interest costs but requires more payments over time.