Car Lease Payment Calculator
Split a lease payment into depreciation and finance charge with AI-powered step-by-step solutions
A Lease Payment Is Two Numbers Added
A lease payment is not a loan payment. It has a depreciation part — the value the car loses while you hold it, spread evenly — and a finance part, the rent charged on the money tied up:
- — adjusted capitalised cost: the negotiated price plus fees rolled in, minus any cap-cost reduction (down payment, trade equity, rebates)
- — residual value: the contract's estimate of what the car is worth at lease end, usually quoted as a percentage of MSRP
- — term in months
- — the money factor, a rate expressed per month in a peculiar scaling
The finance term uses , not the outstanding balance, because the average amount financed over the term is and the money factor already carries a factor of 2 inside it. Sales tax is then applied on top, but how it is applied — on the monthly payment, on the total of payments, or on the full price up front — depends entirely on your jurisdiction.
Money Factor, Residual and the Buyout
Money factor to APR
So is ; is . The is : converts a monthly decimal to an annual percentage, and the compensates for charging on rather than the average balance.
Residual value
Note that the residual percentage is set against MSRP, not against the price you negotiated. Negotiating the price down lowers and therefore the payment, but leaves untouched.
What the lease costs in total
Buying it at the end
The residual is contractual, so an end-of-lease buyout price is known on day one. What the car is actually worth then is not.
Common Mistakes to Avoid
- Using MSRP as the cap cost: is the negotiated price after discounts, plus any fee you roll in. Starting from MSRP overstates every payment.
- Multiplying the money factor by 1200: the conversion is . Using halves the implied rate.
- Treating a lease like a loan: there is no amortisation table here. The depreciation part is a flat every month; only a loan payment splits differently each period.
- Assuming a down payment saves interest proportionally: a cap-cost reduction lowers , which cuts both terms — but on a lease that money is gone if the car is totalled early.
- Forgetting mileage and wear charges: those sit outside the payment formula entirely and are pure contract terms.
- Assuming your tax works like the example: lease taxation varies widely by jurisdiction. Apply the rule that applies where you are; the arithmetic below simply shows one common form.
示例题目
常见问题
Multiply by 2400. A money factor of 0.00200 is a 4.8% APR; 0.00375 is 9%. To go the other way, divide the APR by 2400. Some dealers quote the money factor already multiplied by 1000, as '2.00' — check the scale before converting.
Because the amount financed falls steadily from C to R, so the average is (C + R)/2. The money factor is defined with a 2 already baked in, which is why the formula reads (C + R) × MF rather than ((C + R)/2) × rate.
Yes — a cap-cost reduction lowers C, which cuts both the depreciation term and the finance term. The arithmetic is straightforward; whether it is a good idea depends on factors outside the formula, such as what happens to that money if the vehicle is written off early.
At lease end it is the contractual residual value plus any purchase-option fee, plus tax where applicable. Mid-lease, the lender instead quotes a payoff based on the remaining payments and residual discounted at the lease rate, which is generally higher than the residual alone.
免费试用 AI-Math
任何数学问题都能获得分步解答。拍照上传或输入问题即可。
开始解题