15 Year Home Mortgage Calculator
Use this 15-year home mortgage calculator to estimate your monthly payments, total interest paid, and loan amortization schedule. This tool helps you understand the financial commitment of a 15-year mortgage compared to longer-term loans.
How the 15-Year Mortgage Calculator Works
A 15-year mortgage offers lower monthly payments than 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 Features
- Calculate monthly payments for a 15-year mortgage
- View total interest paid over the loan term
- See a breakdown of principal and interest payments
- Compare with 30-year mortgage options
When to Consider a 15-Year Mortgage
15-year mortgages may be suitable for:
- Homeowners who plan to sell or refinance within 15 years
- Those with excellent credit scores who qualify for lower interest rates
- Investors looking for shorter-term financing
Note: While 15-year mortgages offer lower monthly payments, they typically have higher interest rates and require more principal payments in the early years of the loan.
Mortgage Payment Formula
The standard mortgage payment formula 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)
For a 15-year mortgage, n would be 180 (15 × 12).
Assumptions
- Fixed interest rate throughout the loan term
- No prepayment penalties
- No additional costs like private mortgage insurance
Worked Example
Let's calculate a 15-year mortgage with these parameters:
- Loan amount: $200,000
- Annual interest rate: 4.5%
- Loan term: 15 years
Monthly interest rate = 4.5% ÷ 12 = 0.375% or 0.00375
Number of payments = 15 × 12 = 180
Monthly payment = $200,000 [ 0.00375(1 + 0.00375)180 ] / [ (1 + 0.00375)180 - 1 ]
Calculated monthly payment = $1,432.48
Over 15 years, you would pay:
- Total payments: $1432.48 × 180 = $257,846.40
- Total interest: $257,846.40 - $200,000 = $57,846.40
| Loan Term | Monthly Payment | Total Interest |
|---|---|---|
| 15 years | $1,432.48 | $57,846.40 |
| 30 years | $995.26 | $148,838.80 |