Bankrate 15 Year Mortgage Calculator
Use our Bankrate 15-year mortgage calculator to estimate your monthly payments, total interest, and loan costs for a 15-year fixed-rate mortgage. This tool helps you compare different loan scenarios and understand the financial implications of choosing a shorter-term mortgage.
How the 15-Year Mortgage Calculator Works
A 15-year mortgage is a home loan that's repaid over 15 years instead of the more common 30-year term. The shorter repayment period means you'll pay less in total interest over the life of the loan, but your monthly payments will be higher than with a 30-year mortgage.
Key Features of a 15-Year Mortgage
- Shorter repayment term (15 years instead of 30)
- Higher monthly payments than a 30-year mortgage
- Lower total interest payments over the loan term
- Potential for lower monthly payments if interest rates are low
- Opportunity to pay off the mortgage early without penalty
When to Consider a 15-Year Mortgage
15-year mortgages may be suitable for borrowers who:
- Have strong credit scores and stable income
- Can afford higher monthly payments
- Plan to stay in the home for at least 15 years
- Want to minimize total interest payments
- Have access to a down payment of at least 20%
Note: Many lenders require a minimum down payment of 20% for 15-year mortgages. You may need to put down more money upfront to qualify.
Mortgage Calculation Formula
The monthly mortgage payment is calculated using the following 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 calculates the fixed monthly payment required to fully amortize the loan over the term. The payment includes both principal and interest components.
Additional Calculations
Our calculator also computes:
- Total interest paid over the life of the loan
- Total amount paid (principal + interest)
- Amortization schedule breakdown
Worked Example
Let's calculate a 15-year mortgage with these assumptions:
- Loan amount: $200,000
- Interest rate: 4.5% (0.375% monthly)
- Loan term: 15 years (180 months)
Using the formula:
M = $200,000 [ 0.00375(1 + 0.00375)^180 ] / [ (1 + 0.00375)^180 - 1 ]
Calculating this gives a monthly payment of approximately $1,534.36
Over the 15-year term, you would pay:
- Total principal: $200,000
- Total interest: $124,308
- Total amount paid: $324,308
This example shows that while your monthly payment is higher than a 30-year mortgage, you'll pay significantly less in total interest over the life of the loan.
15-Year vs 30-Year Mortgages
Here's a comparison of a $200,000 mortgage at 4.5% interest rate:
| Term | Monthly Payment | Total Interest | Total Amount Paid |
|---|---|---|---|
| 15 years | $1,534.36 | $124,308 | $324,308 |
| 30 years | $995.64 | $223,920 | $423,920 |
As this comparison shows, while the 15-year mortgage has higher monthly payments, it results in lower total interest payments and a smaller total amount paid over the life of the loan.