Delta Charter Consumer Math

← Money Basics After High School · about 50 min

Buying a car

The price tag is only the start. Here's what a car really costs.

Total cost of ownership

AAA estimates the average new car costs about $11,577 a year to own and drive (2025 study). The biggest single cost isn't gas. It's depreciation, the value the car loses, at about $4,334 a year.

Cash, loan, or lease?

Way to payHow it worksWatch out for
CashPay the full price. No interest, no payment.Don't drain your emergency fund to do it.
Loan (financing)Borrow, pay monthly with interest, own the car at the end.Long terms (72–84 months) mean more interest and owing more than the car is worth.
LeaseRent a new car for 2–4 years, then give it back.Mileage limits, wear charges, and you own nothing at the end.

Worked example: the long-loan trap

A used car costs $18,000 after tax and fees. You put $2,000 down and borrow $16,000 at 8% APR. Compare a 36-month loan to an 84-month loan.

  1. Monthly rate8% ÷ 12 ≈ 0.6667% = 0.006667
  2. Payment formulaPayment = P × r ÷ (1 − (1 + r)^−n)
  3. 36 months$16,000 × 0.006667 ÷ (1 − 1.006667^−36) = $501.38/month
  4. 36-month total interest$501.38 × 36 − $16,000 = $2,049.68
  5. 84 months$249.38/month, and $249.38 × 84 − $16,000 = $4,947.92 interest

The 84-month loan "saves" $252 a month but costs $2,898.24 more in interest, and you'd still be making payments on a 10-year-old car.

Try it

Auto loan calculator

Cash you pay up front, plus any trade-in value.
Your rate depends on your credit. Get a quote from a credit union first.
Amount you borrow—
Same car, different loan lengths
TermMonthly paymentTotal interestCar really costs

The bars show total interest. A longer loan lowers the monthly payment but costs more in the end, and the car keeps losing value the whole time.

At the dealer

Practice

  1. You borrow $10,000 at 6% for 48 months. The payment is $234.85. What's the total interest?

    Show answer

    $234.85 × 48 = $11,272.80. $11,272.80 − $10,000 = $1,272.80.

  2. A car bought for $25,000 is worth $15,000 three years later. By what percent did it depreciate?

    Show answer

    ($25,000 − $15,000) ÷ $25,000 = 40%.

  3. Insurance is $150/month, gas is $120/month, and maintenance averages $60/month. On top of a $300 car payment, what does the car cost per month?

    Show answer

    $300 + $150 + $120 + $60 = $630 a month.

  4. The dealer offers a 72-month loan so the payment fits your budget. What should you check first?

    Show answer

    The total interest and the out-the-door price. A low payment on a long loan often hides a higher price or rate.

Can you…

Sources and dates

  1. AAA: Your Driving Costs 2025 · as of 2025 study
  2. AAA: Your Driving Costs 2025 · as of 2025 study (full coverage)