Auto Loan Calculator with Sales Tax and Trade

This auto loan calculator helps you estimate your monthly payments, total interest, and loan cost when factoring in sales tax and trade-in value. Simply enter your vehicle price, down payment, loan term, interest rate, sales tax rate, and trade-in value to get an accurate estimate.

How to Use This Calculator

Using this auto loan calculator is simple. Follow these steps to get your estimated monthly payment:

Enter the vehicle price - This is the total price of the vehicle you want to purchase.
Enter your down payment - This is the amount you plan to pay upfront.
Select the loan term - Choose the length of your loan in years.
Enter the interest rate - This is the annual percentage rate (APR) for your loan.
Enter the sales tax rate - This is the percentage of sales tax you'll pay on the vehicle price.
Enter your trade-in value - This is the estimated value of your current vehicle you're trading in.
Click "Calculate" - The calculator will compute your estimated monthly payment, total interest, and loan cost.

The calculator will display your estimated monthly payment, total interest paid over the life of the loan, and the total cost of the loan including principal and interest.

Formula Used

The auto loan calculator uses the standard auto loan formula to calculate your monthly payment:

Monthly Payment = P * (r(1 + r)^n) / ((1 + r)^n - 1) Where: P = Principal loan amount (Vehicle Price + Sales Tax - Down Payment - Trade-in Value) r = Monthly interest rate (Annual Interest Rate / 12) n = Number of payments (Loan Term in Years * 12)

After calculating the monthly payment, the calculator also computes the total interest paid and the total cost of the loan.

Worked Example

Let's walk through an example to see how the calculator works. Suppose you want to buy a vehicle with the following details:

Vehicle Price: $30,000
Down Payment: $5,000
Loan Term: 5 years
Interest Rate: 4.5%
Sales Tax Rate: 8%
Trade-in Value: $3,000

First, calculate the total sales tax:

Sales Tax = Vehicle Price * Sales Tax Rate Sales Tax = $30,000 * 8% = $2,400

Next, calculate the principal loan amount:

Principal = (Vehicle Price + Sales Tax - Down Payment - Trade-in Value) Principal = ($30,000 + $2,400 - $5,000 - $3,000) = $24,400

Now, calculate the monthly payment using the formula:

r = 4.5% / 12 = 0.00375 n = 5 * 12 = 60 Monthly Payment = $24,400 * (0.00375(1 + 0.00375)^60) / ((1 + 0.00375)^60 - 1) Monthly Payment ≈ $422.50

Total interest paid over the life of the loan:

Total Interest = (Monthly Payment * n) - Principal Total Interest = ($422.50 * 60) - $24,400 = $2,550

Total cost of the loan:

Total Cost = Principal + Total Interest Total Cost = $24,400 + $2,550 = $26,950

Using the calculator with these values will give you the same results.

Frequently Asked Questions

How accurate is this auto loan calculator?

This calculator provides an estimate based on the information you provide. Actual loan terms and payments may vary depending on your lender and specific loan conditions.

Can I use this calculator for both new and used cars?

Yes, you can use this calculator for both new and used cars. Simply enter the appropriate vehicle price and trade-in value for your situation.

What if I don't have a trade-in vehicle?

If you don't have a trade-in vehicle, simply enter $0 for the trade-in value. The calculator will adjust the principal loan amount accordingly.

How does sales tax affect my monthly payment?

Sales tax is added to the vehicle price before calculating the principal loan amount. This means the total amount you finance will be higher, which can affect your monthly payment.