APR Auto Calculator

What is APR?

APR stands for Annual Percentage Rate. It's the annualized interest rate that includes all fees and charges associated with a loan. Unlike the nominal interest rate, APR provides a more accurate picture of the total cost of borrowing.

For auto loans, APR is typically higher than the stated interest rate because it includes origination fees, discount points, and other costs. Understanding APR helps you make informed decisions about your auto financing.

How to Use the APR Auto Calculator

Using the APR Auto Calculator is simple. Follow these steps:

1. Enter the loan amount you're considering
2. Input the interest rate (nominal rate)
3. Provide the loan term in months
4. Enter any additional fees or points
5. Click "Calculate" to see your APR

The calculator will display your calculated APR and provide additional information about the loan's true cost.

APR Formula

The formula for calculating APR is:

Where:

• Monthly Payment = (Loan Amount × (Interest Rate/12)) ÷ (1 - (1 + Interest Rate/12)^-Number of Payments)
• Number of Payments = Loan Term in Months
• Number of Years = Loan Term in Months ÷ 12

This formula accounts for the true cost of borrowing by including all fees and charges in the calculation.

Worked Example

Let's calculate the APR for a $20,000 loan with a 5% interest rate, 60-month term, and $500 in additional fees.

1. Calculate monthly payment: ($20,000 × 0.05/12) ÷ (1 - (1 + 0.05/12)^-60) ≈ $386.67
2. Total payments: $386.67 × 60 = $23,200.20
3. Total cost: $23,200.20 + $500 = $23,700.20
4. APR: [($23,700.20 - $20,000) ÷ $20,000 ÷ 5] × 12 × 100 ≈ 6.36%

This example shows how additional fees can significantly increase the true cost of the loan.