Payment Calculator for 15 Year Mortgage
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Reviewed by Calculator Editorial Team
Understanding your mortgage payments is crucial when considering a 15-year loan term. This calculator helps you determine your monthly payments, total interest, and principal repayment schedule for a 15-year mortgage.
How the 15-Year Mortgage Calculator Works
A 15-year mortgage offers lower monthly payments compared to a 30-year mortgage, but you'll pay more in total interest over the life of the loan. The calculator uses the standard mortgage payment formula to determine your monthly payment based on the loan amount, interest rate, and term.
Key Differences: 15-year mortgages typically have higher interest rates than 30-year mortgages, but the lower monthly payments can be appealing for those who want to pay off their home faster.
Key Inputs
- Loan Amount: The total amount you're borrowing
- Interest Rate: The annual percentage rate charged by your lender
- Loan Term: Fixed at 15 years for this calculator
Outputs
- Monthly Payment: Your regular payment amount
- Total Interest: The total interest paid over the life of the loan
- Total Cost: The sum of your principal and interest payments
The Mortgage Payment Formula
The standard formula for calculating mortgage payments is:
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 payment includes both principal and interest, with the interest portion decreasing over time as the principal balance decreases.
Worked Example
Let's calculate a monthly payment for a $200,000 loan at 4.5% interest over 15 years.
Monthly Payment: $1,372.86
Total Interest Paid: $117,238.00
Total Cost: $317,238.00
This example shows that while the monthly payment is lower than a 30-year mortgage, the total interest paid is significantly higher. The amortization schedule shows how the interest portion decreases over time as the principal balance decreases.
Amortization Schedule
The amortization schedule breaks down each payment into its principal and interest components. Here's a sample of the first few payments:
| Payment # | Payment Amount | Principal | Interest | Remaining Balance |
|---|---|---|---|---|
| 1 | $1,372.86 | $728.00 | $644.86 | $199,272.00 |
| 2 | $1,372.86 | $736.00 | $636.86 | $198,536.00 |
| 3 | $1,372.86 | $744.00 | $628.86 | $197,792.00 |
15-Year vs 30-Year Mortgages
Comparing a 15-year mortgage to a 30-year mortgage for the same loan amount and interest rate reveals key differences:
| Metric | 15-Year Mortgage | 30-Year Mortgage |
|---|---|---|
| Monthly Payment | $1,372.86 | $995.50 |
| Total Interest Paid | $117,238.00 | $142,000.00 |
| Total Cost | $317,238.00 | $342,000.00 |
| Payoff Time | 15 years | 30 years |
The 15-year mortgage has higher monthly payments but pays off the loan faster and costs less in total interest. The 30-year mortgage has lower monthly payments but costs more in total interest and takes longer to pay off.