Car Lease Payment Calculator

Split a lease payment into depreciation and finance charge with AI-powered step-by-step solutions
Lease payment on $27,500 cap cost, $18,240 residual, 36 months, money factor 0.00200
Convert a money factor of 0.00225 to an APR
Residual value at 57% of a $32,000 MSRP on a 36-month lease
Total cost of a 36-month lease at $373.11 with $2,000 down and a $695 fee

A Lease Payment Is Two Numbers Added

A lease payment is not a loan payment. It has a depreciation part тАФ the value the car loses while you hold it, spread evenly тАФ and a finance part, the rent charged on the money tied up:

Payment=CтИТRNтПЯdepreciation+(C+R)тЛЕMFтПЯfinance┬аcharge\text{Payment} = \underbrace{\frac{C - R}{N}}_{\text{depreciation}} + \underbrace{(C + R)\cdot MF}_{\text{finance charge}}

  • CC тАФ adjusted capitalised cost: the negotiated price plus fees rolled in, minus any cap-cost reduction (down payment, trade equity, rebates)
  • RR тАФ residual value: the contract's estimate of what the car is worth at lease end, usually quoted as a percentage of MSRP
  • NN тАФ term in months
  • MFMF тАФ the money factor, a rate expressed per month in a peculiar scaling

The finance term uses C+RC + R, not the outstanding balance, because the average amount financed over the term is (C+R)/2(C+R)/2 and the money factor already carries a factor of 2 inside it. Sales tax is then applied on top, but how it is applied тАФ on the monthly payment, on the total of payments, or on the full price up front тАФ depends entirely on your jurisdiction.

Money Factor, Residual and the Buyout

Money factor to APR

APR=MF├Ч2400,MF=APR2400APR = MF \times 2400, \qquad MF = \frac{APR}{2400}

So MF=0.00200MF = 0.00200 is 4.8%4.8\%; MF=0.00225MF = 0.00225 is 5.4%5.4\%. The 24002400 is 1200├Ч21200 \times 2: 12001200 converts a monthly decimal to an annual percentage, and the 22 compensates for charging on C+RC + R rather than the average balance.

Residual value

R=MSRP├Чresidual%R = \text{MSRP} \times \text{residual}\%

Note that the residual percentage is set against MSRP, not against the price you negotiated. Negotiating the price down lowers CC and therefore the payment, but leaves RR untouched.

What the lease costs in total

Total=N├Чpayment┬а(with┬аtax)+cap-cost┬аreduction+fees\text{Total} = N \times \text{payment (with tax)} + \text{cap-cost reduction} + \text{fees}

Buying it at the end

Buyout=R+purchase-option┬аfeeтАЕтАК(+тАЕтАКtax)\text{Buyout} = R + \text{purchase-option fee} \;(+\;\text{tax})

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: CC 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 ├Ч2400\times 2400. Using 12001200 halves the implied rate.
  • Treating a lease like a loan: there is no amortisation table here. The depreciation part is a flat (CтИТR)/N(C-R)/N every month; only a loan payment splits differently each period.
  • Assuming a down payment saves interest proportionally: a cap-cost reduction lowers CC, which cuts both terms тАФ 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.

Examples

Step 1: Adjusted cap cost: C = 29{,}500 - 2{,}000 = \27{,}500$
Step 2: Residual: R = 32{,}000 \times 0.57 = \18{,}240$
Step 3: Depreciation: (27{,}500 - 18{,}240)/36 = 9{,}260/36 \approx \257.22$
Step 4: Finance charge: (27{,}500 + 18{,}240) \times 0.00200 = 45{,}740 \times 0.002 = \91.48$
Step 5: Base payment: 257.22 + 91.48 = \348.70$
Step 6: With tax: 348.70 \times 1.07 \approx \373.11$
Answer: \348.70base,aboutbase, about$373.11$ with 7% tax

Step 1: APR=0.00225├Ч2400=5.4%APR = 0.00225 \times 2400 = 5.4\% (against 0.00200├Ч2400=4.8%0.00200 \times 2400 = 4.8\%)
Step 2: Depreciation is unchanged: \257.22$
Step 3: New finance charge: 45{,}740 \times 0.00225 = \102.915$
Step 4: Base payment: 257.22 + 102.92 \approx \360.14,or, or 360.14 \times 1.07 \approx $385.35$ with tax
Step 5: Difference: 102.915 - 91.48 = \11.44amonth,a month,\times 36 \approx $411.66$ over the term
Answer: MF=0.00225MF = 0.00225 is a 5.4% APR and adds about \11.44amonth,roughlya month, roughly$412$ over 36 months

Step 1: Payments: 36 \times 373.11 \approx \13{,}432.01$
Step 2: Add the cap-cost reduction and a \695acquisitionfee:acquisition fee:13{,}432.01 + 2{,}000 + 695 = $16{,}127.01$
Step 3: Buyout at lease end: R + 350 = 18{,}240 + 350 = \18{,}590$ before tax
Step 4: Lease then buy: 16{,}127.01 + 18{,}590 = \34{,}717.01$
Step 5: Against the negotiated price of \29{,}500,thedifferenceof, the difference of $5{,}217.01$ is what the three years of finance charge and fees cost
Answer: About \16{,}127overtheterm,orover the term, or$34{,}717intotalifyouexercisethein total if you exercise the$18{,}590$ buyout

Frequently Asked Questions

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' тАФ 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) ├Ч MF rather than ((C + R)/2) ├Ч rate.

Yes тАФ 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.

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