15,000 Dollar Car Loan Over 7 Years: Monthly Payment

The 72 month payment on 15,000 dollars

Seven years is 72 payments. At the 7 percent example rate, the amortization formula M = P x r x (1 + r)^72 / ((1 + r)^72 - 1) returns 255.74 a month on 15,000 dollars, with r equal to 0.0058333. That is 41.28 less than the same balance over 60 months, and the difference is the whole appeal of the long term.

The first payment splits into 87.50 of interest and 168.24 of principal, so less than two thirds of the check reduces the debt in month one. Compare that with the 60 month version, where 209.52 of the first payment goes to principal. The gap between those two numbers is what a longer term does to equity.

Total paid is 18,412.93, so the interest is 3,412.93. That is 22.75 percent of the amount borrowed, and 18.54 cents of every dollar paid. The same figures at 60 months are 2,821.08 of interest and 15.83 cents per dollar, which is the first hint of what the extra year costs.

What the extra year buys and what it costs

Against 60 months, the 72 month loan frees up 41.28 a month, or 495.36 a year. It charges 591.85 more interest and it runs 12 months longer. Divide one by the other and each dollar of monthly payment relief costs about 14.34 dollars of extra interest, which is a hard price to defend on a 15,000 dollar car.

The pattern repeats at every step of the term ladder. Each step down in payment adds more interest than the step before it, because there are fewer and fewer dollars of payment relief left to buy.

The seventh year is the worst trade in the table. It gives up less monthly relief than any earlier step, 41.28, and adds more interest than any earlier step, 591.85. An eighth year is worse again: 29.35 of relief for 603.85 of interest.

The balance stays high for longer

A long term keeps the balance high for longer, and that creates the risk that matters most on a car loan: owing more than the vehicle is worth. After 12 payments the balance is 12,915.13, which is 86.1 percent of the original loan. After 24 it is 10,679.55, or 71.2 percent, and after 36 it is 8,282.36, or 55.2 percent.

A new car loses a large share of its value in the first two years, and a used car loses value more slowly but still steadily. On this schedule the loan is underwater for much of the first two years unless a down payment covered the early depreciation. If the car is totaled or stolen in that window, insurance pays market value and the borrower owes the difference out of pocket.

Selling before payoff has the same problem. A private buyer will not pay more than the car is worth, and the lienholder keeps the title until the balance clears. Gap coverage closes the insurance version of the gap; it does nothing for a voluntary sale.

How the rate changes a long term

The rate matters more on a long loan because it has more months to work. The table holds the balance at 15,000 and the term at 72 months, and moves only the APR.

Two things stand out. The payment moves far less than the rate: going from 5 to 11 percent adds 43.94 a month but more than doubles the interest, from 2,393.33 to 5,556.81. And the cost of choosing 72 months over 60 grows with the rate, from 409.22 at 5 percent to 988.62 at 11 percent. A borrower with a weaker credit profile pays more for the same extra year, which is the opposite of what a payment shopping conversation usually implies.

Down payments on a 72 month loan

A down payment does two jobs on a 72 month loan. It lowers the amount financed, and it starts the borrower with equity instead of a balance that sits above the car's value. The table holds the rate at 7 percent and the term at 72 months.

Each 2,000 dollars down takes 34.10 off the payment and 455.06 off the interest. Four thousand down cuts the payment by 68.20 and the interest by 910.12. Those are smaller payment cuts than the same money buys on a 60 month loan, because the balance is spread over more months, but the interest saving per dollar is larger.

The equity effect is the part the payment column hides. Starting at 11,000 instead of 15,000 means the balance is 4,000 closer to the car's value on day one, which shortens the stretch where the balance sits above the car's value.

Extra principal on a seven year note

Extra payments do more work on a long loan because there are more interest bearing months to remove. Adding 50 dollars a month ends this loan at payment 58 with 2,721.93 of interest, a saving of 691.00. Adding 100 ends it at payment 49 with 2,267.34 of interest, a saving of 1,145.58.

The same 50 dollars saves 486.16 on the 60 month version, so the long term gives an extra payment more to work with. That is the one clear advantage of a long loan: it responds better to prepayment. The advantage only pays off if the borrower sends the extra money every month, and a loan that was chosen for its low payment is often chosen by a borrower who cannot.

Ask the servicer to apply the extra to principal and to leave the scheduled payment and due date alone. A pay ahead entry moves the next due date and leaves the balance where it was, which produces no saving at all.

Tax and fees inside a long loan

Sales tax lands inside the loan on most dealer sales. At 6 percent, 15,000 dollars of car carries 900 dollars of tax, so the amount financed becomes 15,900, the payment becomes 271.08 and the interest becomes 3,617.70. The tax alone adds 204.77 of interest across the seven years.

Small add-ons have time to compound on a long term. A 500 dollar service contract financed at 7 percent over 72 months costs 8.52 a month and 113.76 of interest in total. That is not a reason to refuse every add-on, but it is a reason to pay cash for the small ones and to price the large ones against what the contract covers.

The calculator above adds tax before subtracting the down payment, which matches a typical dealer sale, and it ignores title, registration and documentation fees. Ask for the out the door figure with each fee listed, then run that number through the calculator with the tax field set to zero.

When 72 months makes sense

A 72 month loan fits when the 60 month payment would eat an emergency fund or force a cheaper car than the household needs. It does not fit when the only goal is a smaller number on the contract for a car that was already at the top of the budget.

Three checks before signing. First, compare the balance after 24 months, 10,679.55, with the car's expected value at that point. Second, compare the 3,412.93 of interest with the price of a cheaper car or a larger down payment. Third, add insurance, fuel and a repair reserve to the 255.74 and hold the total against take home pay.

Then read the paperwork. The CFPB auto loans guide recommends comparing offers by total cost rather than by monthly payment, and its shopping sheet has a line for exactly that. The FTC guide to buying a used car from a dealer covers add-ons, the Buyer's Guide and return policies. Before money changes hands, run the VIN through the NHTSA recall lookup.