Free 15 Year Mortgage Calculator
Use this free 15-year mortgage calculator to determine your monthly payments, total interest, and amortization schedule for a 15-year home loan. This tool helps you compare different loan options and understand the financial commitment of a shorter-term mortgage.
How to Use This Calculator
To calculate your 15-year mortgage payments:
- Enter the loan amount you're requesting
- Input your annual interest rate (APR)
- Select the loan term (15 years in this case)
- Click "Calculate" to see your results
The calculator will display your monthly payment, total interest paid over the loan term, and an amortization chart showing how your payments break down over time.
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 interest on the unpaid balance of your loan each month, creating a fixed payment schedule.
Worked Example
Let's calculate a $200,000 mortgage at 4% annual interest for 15 years:
Example Calculation
Monthly interest rate = 4% ÷ 12 = 0.333%
Number of payments = 15 × 12 = 180
Using the formula:
M = $200,000 [ 0.00333(1 + 0.00333)180 ] / [ (1 + 0.00333)180 - 1 ]
This results in a monthly payment of approximately $1,390.50
Over 15 years, you would pay $2,143,000 in total, with $143,000 going toward interest.
15-Year vs. 30-Year Mortgages
Compare the key differences between 15-year and 30-year mortgages:
| Feature | 15-Year Mortgage | 30-Year Mortgage |
|---|---|---|
| Monthly Payment | Higher (due to shorter term) | Lower (spread over longer term) |
| Total Interest Paid | Lower (less interest over shorter term) | Higher (more interest over longer term) |
| Refinancing Options | Less common (harder to refinance) | More common (easier to refinance) |
| Home Equity | Builds faster (more equity in less time) | Builds slower (more equity over time) |
Choose a 15-year mortgage if you plan to sell or refinance soon, or if you want to pay less interest in the long run. A 30-year mortgage may be better if you plan to stay in the home long-term and want lower monthly payments.