AmortMapWhat a given loan amount actually costs per month, and over its life.

Monthly Payment on a $35,000 Car Loan: $693 at 7% Over Five Years

Dealers negotiate the monthly payment because it is the number you feel. Lengthening the term lowers it every time, and it is the most expensive way to do so.

Payment falling as the term stretches, total cost rising
Payment falling as the term stretches, total cost rising

$693 a month on a $35,000 car loan at 7% over 60 months.

Rate 36 mo 48 mo 60 mo 72 mo 84 mo
5% $1,049 $806 $660 $564 $495
7% $1,081 $838 $693 $597 $528
9% $1,113 $871 $727 $631 $563
11% $1,146 $904 $761 $666 $598

The term costs more than the rate

At 7%, look at what each row of the term axis actually costs in total interest:

Term Monthly Total interest
36 months $1,081 $3,905
60 months $693 $6,583
72 months $597 $7,963
84 months $528 $9,372

Going from 60 to 84 months drops the payment by $165 and adds $2,789 in interest. Going from 7% to 5% at 60 months drops it by $33 and saves $1,953.

The payment is more sensitive to the term. The total cost is more sensitive to the rate. Dealers negotiate the first number because it is the one a buyer feels every month.

Lower payment, longer term, more interest

Why long terms are worse than the interest suggests

A car loses value on its own schedule, roughly 20% in the first year and 15% a year after that. A long loan pays down principal slowly at the start. The two curves cross.

Where the balance stays above the value

On an 84-month loan with little money down, the balance stays above the car's value for roughly four years. During that window:

  • Selling or trading means writing a cheque to close the loan.
  • A total loss pays out the car's value, not the balance, and the difference is yours. Gap insurance exists to cover exactly this window.
  • Rolling the shortfall into the next car loan starts the next one already underwater.

Being underwater is not a fee. It is a restriction on your options, and it lasts as long as it lasts.

What the payment is made of

The advertised price is not the amount financed:

Line Typical on a $35,000 car
Vehicle price $35,000
Sales tax $0–$3,000 depending on state
Title, registration, doc fees $200–$900
Less: down payment −$3,500 (10%)
Less: trade-in equity varies
Financed $31,700–$35,400

Tax and fees are commonly rolled in, which is why the financed amount often exceeds the price of the car even with money down. That is also why a "zero down" deal on a taxed purchase starts underwater on day one.

The formula, same as a mortgage

M = P × r(1+r)^n / ((1+r)^n − 1)
    r = annual rate ÷ 12      n = months

Identical mathematics to a 30-year mortgage. What differs is the term — and the fact that a house does not usually lose a fifth of its value in year one.

Two practical rules that survive contact with a dealership

Negotiate the price, then the trade, then the financing. Separately, in that order. Bundled into a monthly payment, a worse price hides inside a longer term and neither is visible.

Bring your own rate. A pre-approval from a bank or credit union is a number the dealer has to beat rather than set. Dealer financing is often competitive; it is easier to tell when you have something to compare it against.

The interest arithmetic runs the same way on both sides of the term: see where the money goes over thirty years, and note that a car payment counts against the debt-to-income ratio that sets your mortgage ceiling.

Work it out

A
AmortMap

What a given loan amount actually costs per month, and over its life. — AmortMap. Editorial policy