AutoMath

Financing ~3 min read

How a Lease Payment Is Actually Built

A lease payment is two parts plus tax: depreciation and the money-factor rent charge. Here's the exact math, so a dealer's quote stops being a black box.

Most people negotiate a lease by haggling over the monthly payment. That’s backwards — the payment is an output of four numbers, and the dealer controls all four. Once you can build the payment yourself, the quote stops being a black box and starts being a thing you can check line by line.

A lease pays for the part you use up

A loan finances the whole car. A lease finances only the slice of value you consume while you drive it — the difference between what the car costs now and what it’s worth at the end. That ending value is the residual, set by the bank as a percentage of MSRP:

residual value = MSRP × residual %

Everything else builds from the adjusted capitalized cost — the negotiated price plus capitalized fees, minus anything you put toward it:

adjusted cap cost = price + fees − (down + trade + rebates)

Two parts plus tax

The payment has exactly two moving pieces. The depreciation fee spreads the value you use up across the term:

depreciation fee = (adjusted cap cost − residual) / term

The rent charge is interest — but a lease prices it with a money factor instead of an APR, and it applies to the cap cost and the residual:

rent charge = (adjusted cap cost + residual) × money factor

Add them, then apply sales tax (in most US states, on the payment itself):

base payment    = depreciation fee + rent charge
monthly payment = base payment × (1 + tax rate)

Build one yourself

Your numbersSaved on this device only
The car
The deal
Monthly payment

$397.98

$371.94 base + $26.04 tax · money factor ≈ 3.00% APR

What you're paying for
Of each payment, $305.97 is depreciation (value you use up) and $65.97 is the rent charge (interest). Over 36 months that's $2,375 in finance charges alone.
Residual value
$20,880MSRP × residual %
Adjusted cap cost
$31,895price + fee − reductions
Total of payments
$14,327
Total lease cost
$16,327payments + cash down

Change the negotiated price and watch both parts move — that’s why negotiating the cap cost beats negotiating the payment. Change the money factor and only the rent charge moves; multiply that money factor by 2,400 to read it as an APR.

The money factor is the whole game

A money factor of 0.0025 looks like a rounding error. It’s a 6% APR.

The money factor is the one number a dealer can quietly mark up, exactly like a loan rate, and it’s written as a four-decimal figure precisely because almost nobody reads it. The conversion is trivial and worth memorizing: APR = money factor × 2,400. If the quoted money factor times 2,400 is higher than what you’d pay on a loan, the lease is financing the car at a worse rate — and you should know that before you sign.

Should you put money down?

Usually not. A down payment lowers the payment, but it’s cash at risk: total the car in month two and your gap coverage repays the bank, not you — that down payment is gone. The conventional move is to lease with as little down as possible and keep the cash liquid. Set the down payment to zero in the calculator to see the true sign-and-drive number.

The one-paragraph version

A lease payment is depreciation — (adjusted cap cost − residual) ÷ term — plus a rent charge of (cap cost + residual) × money factor, then tax on the total. Negotiate the cap cost (it moves both parts), convert the money factor to an APR by multiplying by 2,400, confirm the residual, and put little or nothing down. Build the exact number with the lease payment calculator.

AutoMath is an educational tool, not financial advice. The output depends entirely on the deal terms you enter.