Calculate Monthly Payment 15 Year Mortgage
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Reviewed by Calculator Editorial Team
Calculating your monthly mortgage payment for a 15-year loan helps you understand your financial commitment and compare different mortgage options. This calculator provides an accurate estimate based on standard mortgage formulas.
How to Use This Calculator
To calculate your monthly mortgage payment:
- Enter the loan amount (principal) in dollars.
- Input the annual interest rate as a percentage.
- Select "15 years" from the loan term dropdown.
- Click "Calculate" to see your estimated monthly payment.
The calculator uses the standard mortgage payment formula to provide an accurate estimate. The result includes principal and interest payments only - additional fees may apply.
Formula Used
Mortgage Payment Formula
The monthly payment (M) for a fixed-rate mortgage is calculated using the formula:
M = P [ i(1 + i)n ] / [ (1 + i)n - 1 ]
Where:
- 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 amortization of the loan over the term, showing how much of each payment goes toward interest and principal.
Worked Example
Let's calculate a monthly payment for a $200,000 loan with a 4.5% annual interest rate over 15 years.
- Convert annual rate to monthly: 4.5% ÷ 12 = 0.375% or 0.00375
- Calculate number of payments: 15 years × 12 = 180 payments
- Plug values into formula:
M = $200,000 [ 0.00375(1 + 0.00375)180 ] / [ (1 + 0.00375)180 - 1 ]
- Calculate the result: $200,000 × [0.00375 × 1.00375180] / [1.00375180 - 1] ≈ $1,425.28
Your estimated monthly payment would be $1,425.28.
15-Year vs. 30-Year Mortgage Comparison
| Feature | 15-Year Mortgage | 30-Year Mortgage |
|---|---|---|
| Loan Term | 15 years | 30 years |
| Monthly Payment | Higher (more interest) | Lower (less interest) |
| Interest Paid | More (higher rate) | Less (lower rate) |
| Refinancing Options | Fewer (shorter term) | More (longer term) |
| Best For | Homeowners who want to pay off the loan quickly | Homeowners who prefer lower monthly payments |
Choose the term that best fits your financial situation and goals.
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. It typically has higher monthly payments but lower total interest costs compared to a 30-year mortgage.
How does a 15-year mortgage compare to a 30-year mortgage?
A 15-year mortgage has higher monthly payments but lower total interest costs. It's suitable for homeowners who want to pay off their mortgage quickly or those who expect to sell or refinance before the 15-year term ends.
What factors affect my monthly mortgage payment?
Your monthly payment is affected by the loan amount, interest rate, loan term, and any additional fees. The calculator provides an estimate based on principal and interest payments only.