15 Yr Mortgage Calculator
'/%3E%3Ccircle cx='48' cy='39' r='19' fill='%23f2c9a5'/%3E%3Cpath d='M27 35c3-16 39-17 42 2-8-8-27-9-42-2z' fill='%23374151'/%3E%3Cpath d='M21 86c5-24 49-28 56 0z' fill='%232563eb'/%3E%3Ccircle cx='41' cy='41' r='2' fill='%23111827'/%3E%3Ccircle cx='55' cy='41' r='2' fill='%23111827'/%3E%3Cpath d='M42 52c4 3 9 3 13 0' stroke='%2392400e' stroke-width='3' fill='none' stroke-linecap='round'/%3E%3C/svg%3E)
Reviewed by Calculator Editorial Team
Use this 15-year mortgage calculator to estimate your monthly payments, total interest, and loan amortization schedule. Simply enter your loan amount, interest rate, and down payment to get precise calculations.
How to Use This Calculator
To calculate your 15-year mortgage payments:
- Enter the loan amount you're requesting (e.g., $200,000)
- Input your annual interest rate (e.g., 4.5%)
- Specify your down payment amount or percentage
- Click "Calculate" to see your monthly payment and loan details
The calculator will show you:
- Monthly payment amount
- Total interest paid over 15 years
- Amortization schedule breakdown
- Visual representation of principal vs. interest payments
Formula Explained
The calculator uses the standard mortgage payment formula:
Mortgage Payment Formula
M = P [ i(1 + i)n ] / [ (1 + i)n - 1 ]
Where:
- M = Monthly payment
- P = Principal loan amount (Loan Amount - Down Payment)
- i = Monthly interest rate (Annual Rate / 12 / 100)
- n = Number of payments (15 years × 12 months = 180)
This formula calculates the fixed monthly payment required to fully amortize the loan over the 15-year term.
Worked Example
Let's calculate a $200,000 loan with a 4.5% annual interest rate and $20,000 down payment:
- Principal (P) = $200,000 - $20,000 = $180,000
- Monthly interest rate (i) = 4.5% / 12 / 100 = 0.00375
- Number of payments (n) = 15 × 12 = 180
- Plug into formula: M = $180,000 [ 0.00375(1 + 0.00375)180 ] / [ (1 + 0.00375)180 - 1 ]
- Calculate: M ≈ $1,200.45 per month
Over 15 years, you would pay approximately $216,082 in total payments, with $36,082 going toward interest.
Frequently Asked Questions
What is a 15-year mortgage?
A 15-year mortgage is a home loan that's repaid over 15 years (180 months) with fixed monthly payments. It typically offers lower interest rates than 30-year mortgages but requires higher monthly payments.
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 a good option for those who can afford higher payments and want to pay off their mortgage faster. A 30-year mortgage has lower monthly payments but higher total interest costs over time.
What factors affect my mortgage payment?
Your mortgage payment is primarily determined by the loan amount, interest rate, and loan term. Other factors include down payment amount, private mortgage insurance (PMI) if applicable, and any additional fees.