Auto Loan Calculator Schools First
This auto loan calculator helps schools first determine monthly payments, total interest, and loan affordability. Enter your loan amount, interest rate, and term to get instant results.
How to Use This Calculator
To use the auto loan calculator:
- Enter the loan amount in dollars
- Input the annual interest rate (APR)
- Select the loan term in years
- Click "Calculate" to see your monthly payment
The calculator will display your estimated monthly payment, total interest paid, and total amount paid over the loan term.
Formula Explained
The auto loan payment is calculated using 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 (APR/12/100)
- n = Number of payments (Loan term in years × 12)
This formula accounts for the interest charged on the outstanding loan balance each month.
Worked Example
Let's calculate a $20,000 auto loan at 5% APR for 4 years:
- Principal (P) = $20,000
- Annual interest rate = 5% → Monthly rate (r) = 5/12/100 = 0.004167
- Loan term = 4 years → Number of payments (n) = 48
Plugging into the formula:
Monthly Payment = $20,000 × (0.004167(1 + 0.004167)^48) / ((1 + 0.004167)^48 - 1)
Monthly Payment ≈ $452.38
Total interest paid over 4 years would be $2,344.64.
Frequently Asked Questions
What is the difference between APR and interest rate?
APR (Annual Percentage Rate) is the total cost of borrowing, including fees, while the interest rate is the portion of APR that goes to the lender. APR is always higher than the interest rate.
How does loan term affect my payment?
A longer loan term means lower monthly payments but more total interest paid. A shorter term means higher monthly payments but less total interest.
What happens if I make extra payments?
Extra payments reduce the principal balance faster, lowering total interest and potentially shortening the loan term. They may also qualify you for rewards.