How this instrument works
A lease payment is not a loan installment; it is rent for the difference between what a car is worth today and what it will be worth when the leasing company takes it back, plus a finance charge on the money tied up in between. The depreciation charge — cap cost minus residual, divided by the term — spreads that expected value loss evenly across the months. The rent charge — cap cost plus residual, times the money factor — behaves like interest, but it is computed on the sum of the two values rather than on a shrinking loan balance, because nobody is retiring a debt; the car reverts to the lessor at the end regardless of what has been paid.
Car buyers comparing a lease quote against financing outright are the usual audience for this arithmetic. A dealer's worksheet lists a negotiated price, a residual set by the leasing company rather than by negotiation, and a money factor written as a decimal like 0.00125 instead of a percentage rate — a format that makes two leases with different money factors hard to compare at a glance. Multiplying the money factor by 2,400 converts it back into an approximate annual rate, letting the number be checked against a loan quote or a competing lease.
The arithmetic here prices two things only, depreciation and rent, and leaves out everything else printed on a real lease contract: the acquisition fee charged at signing, the disposition fee charged at turn-in, sales tax on the payment where it applies, and per-mile charges for driving past the allotted mileage or returning the car with wear beyond normal. The residual itself is not a guess this sheet makes; it is a figure the leasing company sets in advance from resale forecasts, and a low residual on a car that otherwise holds its value well is one of the more common ways a lease payment ends up higher than the depreciation alone would suggest.
- Enter the agreed purchase price under Negotiated price (cap cost), $ — the lease's version of a negotiated sale price, before any cash put down.
- Set Residual value at lease end, $ to the figure printed on the lease worksheet; it is fixed by the leasing company, not something you negotiate.
- Choose Lease term, months for how long you plan to drive the car; most consumer leases run 24 to 39 months.
- Enter Money factor exactly as quoted, a decimal like 0.00125 — if your dealer only gave a percentage rate, divide it by 2,400 first.
- Read Monthly lease payment, then change Money factor or Lease term to see how each moves the depreciation and rent charges on their own.
Worked example — a $30,000 car, $18,000 residual
Take the golden case: a $30,000 Negotiated price (cap cost), $ against an $18,000 Residual value at lease end, $, over a 36-month Lease term, months, at a Money factor of 0.00125. The depreciation charge is (30,000 − 18,000) ÷ 36 = $333.33 a month, the car's expected value loss spread evenly across the term. The rent charge is (30,000 + 18,000) × 0.00125 = $60 a month. Add them and Monthly lease payment reads $393.33.
That 0.00125 money factor is equivalent to roughly a 3% annual rate (0.00125 × 2,400 = 3), a useful figure to hold against a loan quote when deciding between leasing and financing the same car. Push Money factor to zero, an interest-free lease promotion, and the payment falls to exactly $333.33, the depreciation charge alone — confirming the rent charge is the only piece the rate touches.
Questions
Why does the rent charge add cap cost and residual instead of subtracting them?
The finance charge on a lease is computed on the money the leasing company has tied up across the whole term, not on a shrinking balance the way loan interest is. Adding cap cost and residual approximates the average amount at stake over the lease rather than tracking a monthly payoff figure, which is why the rent charge in the golden example stays a flat $60 a month instead of declining like loan interest would.
What is a money factor, and why isn't it just an interest rate?
A money factor is a lease's financing charge written as a small decimal, commonly between 0.0001 and 0.005, instead of a percentage. Multiplying it by 2,400 converts it to an approximate annual rate — 0.00125 in the golden example works out to about 3% — which is the quickest way to compare a lease's financing cost against a loan quote or a competing lease that states its rate differently.
Can I negotiate the residual value the way I negotiate the cap cost?
Not really. The residual is set by the leasing company, often from a guide like the Automotive Lease Guide, before you sit down at the dealership, based on what the car is forecast to be worth at lease end. Cap cost, the negotiated price, is the lease variable actually open to negotiation; a lower cap cost lowers the depreciation charge directly, month for month.
Does this payment include sales tax, the acquisition fee, or mileage charges?
No. This sheet prices the depreciation and rent charges only, the two components every lease payment is built from. It excludes the upfront acquisition fee, the disposition fee charged at turn-in, sales tax on the payment where a state applies it, and per-mile charges for exceeding the mileage allowance or returning the car with excess wear. Add those from the actual contract on top of this figure.
How does a lease payment compare to financing the same car?
A loan payment retires a debt and the car is owned afterward; a lease payment covers depreciation plus a financing charge and the car goes back at the end. For the golden example's $30,000 car, a loan sized to pay it off in full would carry a higher monthly payment than this lease's $393.33, because a loan repays the whole price rather than just the drop from cap cost to residual.
What happens to the payment if I put money down to lower the cap cost?
A cap cost reduction, cash, a trade-in, or a rebate applied at signing, lowers Negotiated price (cap cost), $ directly, which shrinks the depreciation charge for every remaining month. Cutting cap cost by $3,000 to $27,000 in the golden example would drop the depreciation charge to $250 and the rent charge to $56.25, for a new payment of $306.25 — money that, unlike a loan down payment, is usually not recovered if the car is stolen or totaled early in the term.
References
- Federal Reserve — Keys to Vehicle Leasing consumer guide
- Consumer Financial Protection Bureau — Auto loans resources
Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.