Schools First Auto Loan Calculator
The Schools First Auto Loan Calculator helps you estimate your monthly payments and total interest for an auto loan through the Schools First program. This program is designed to help students purchase a vehicle at a lower interest rate while they're in school.
How the Schools First Auto Loan Calculator Works
The Schools First Auto Loan Calculator uses standard auto loan formulas to estimate your payments. You'll need to input:
- Loan amount (the total amount you want to borrow)
- Interest rate (the annual percentage rate for the loan)
- Loan term (how many years you'll repay the loan)
The calculator will then compute your monthly payment and show you how much interest you'll pay over the life of the loan.
Note: This calculator provides estimates only. Actual loan terms may vary based on your credit score, the lender's requirements, and other factors.
Formula Used
The calculator uses the standard auto 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)
Total interest paid is calculated by subtracting the original loan amount from the total of all monthly payments.
Worked Example
Let's say you want to borrow $20,000 at 4.5% interest for 5 years:
- Convert annual rate to monthly: 4.5% ÷ 12 = 0.375% or 0.00375
- Number of payments: 5 × 12 = 60
- Plug into formula: $20,000 × (0.00375(1 + 0.00375)^60) / ((1 + 0.00375)^60 - 1)
- This calculates to approximately $372.50 per month
- Total paid over 5 years: $372.50 × 60 = $22,350
- Total interest: $22,350 - $20,000 = $2,350
This example shows you would pay about $372.50 per month with $2,350 in total interest.
| Term | Monthly Payment | Total Interest |
|---|---|---|
| 3 years | $425.12 | $1,536.36 |
| 4 years | $392.38 | $1,956.48 |
| 5 years | $372.50 | $2,350.00 |