Bankrate Calculator Auto Loan
Use our Bankrate Calculator Auto Loan to estimate your monthly payments, total interest, and loan cost. This calculator helps you understand how different loan terms affect your repayment.
How the Auto Loan Calculator Works
An auto loan calculator estimates your monthly payments based on the loan amount, interest rate, and loan term. The calculation uses the standard loan payment formula:
Monthly Payment = P × [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
- P = Principal loan amount
- r = Monthly interest rate (annual rate divided by 12)
- n = Number of payments (loan term in years × 12)
The calculator also shows the total interest paid over the life of the loan and the total cost of the loan (principal + interest).
Formula Used
The auto loan calculation follows these steps:
- Convert the annual interest rate to a monthly rate by dividing by 12
- Calculate the number of monthly payments by multiplying the loan term in years by 12
- Apply the loan payment formula to get the monthly payment amount
- Multiply the monthly payment by the number of payments to get the total loan cost
- Subtract the principal from the total cost to get the total interest
Note: This calculator assumes fixed monthly payments and does not account for prepayment penalties or changing interest rates.
Worked Example
Let's calculate a $25,000 auto loan at 4.5% annual interest for 5 years:
| Input | Value |
|---|---|
| Loan Amount | $25,000 |
| Annual Interest Rate | 4.5% |
| Loan Term (Years) | 5 |
Using the formula:
- Monthly rate = 4.5% ÷ 12 = 0.375% or 0.00375
- Number of payments = 5 × 12 = 60
- Monthly payment = $25,000 × [0.00375(1 + 0.00375)^60] / [(1 + 0.00375)^60 - 1] ≈ $454.23
- Total cost = $454.23 × 60 ≈ $27,253.80
- Total interest = $27,253.80 - $25,000 = $2,253.80
So for this example, you would pay approximately $454.23 per month, with a total interest cost of $2,253.80.