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The Motor Standard

Step 3 of 5 · Negotiate · 6 min read

How Car Lease Payments Are Calculated (With a Worked Example)

Work out a lease payment yourself from cap cost, residual, and money factor, convert the money factor to an APR, and check a dealer's quote.

Listen to this guide10 min

The short version

  • A lease payment is depreciation plus a rent charge, plus tax.
  • Depreciation is the adjusted cap cost minus the residual value, divided by the number of months.
  • The rent charge is the adjusted cap cost plus the residual, multiplied by the money factor.
  • Multiply the money factor by 2,400 to get an approximate APR. A money factor of 0.0025 is about 6%.
  • You can negotiate the price of the car and question the money factor and fees. The residual is set by the leasing company.
In this guide
  1. The formula
  2. The inputs
  3. A fully worked example
  4. Converting money factor to APR
  5. What each lever does
  6. Fees to look for
  7. Tax varies by state
  8. Checking a dealer's quote

A lease payment has two parts: the value the car is expected to lose while you have it, and a charge for the money tied up in it. Add tax and you have the monthly number. Once you know the five inputs, you can reproduce any dealer's quote on a phone calculator and see exactly which input is off.

The formula

Monthly depreciation = (adjusted cap cost − residual value) ÷ months

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

Base payment = depreciation + rent charge

Monthly payment = base payment + tax, where your state taxes the payment

The inputs

Federal leasing rules (Regulation M) require a consumer lease to disclose most of these by name, so you will find them on the contract.

TermWhat it isNegotiable?
Gross capitalized costThe agreed price of the car plus anything rolled into the lease: fees, add-ons, a prior loan balanceYes. The price is negotiable like any purchase
Capitalized cost reductionAnything that lowers the gross cap cost: cash down, rebates, trade-in equityYour choice
Adjusted capitalized costGross cap cost minus cap cost reduction. The number the payment is built onFollows from the two above
Residual valueThe car's estimated value at lease end, usually a percentage of MSRPNo. Set by the leasing company
Money factorThe financing rate, written as a small decimalSometimes. Dealers may be able to mark it up
TermNumber of monthsYour choice among offered terms
Rent chargeThe total finance cost over the leaseFollows from the money factor

Notice that the residual is based on MSRP, not on the price you negotiate. That is why a discount helps so much on a lease: it lowers the cap cost while the residual stays put.

A fully worked example

Example only. Round numbers chosen to make the arithmetic easy to follow.

InputAmount
MSRP$40,000
Negotiated price$36,000
Acquisition fee, rolled in$900
Gross capitalized cost$36,900
Cap cost reduction (cash down plus rebate)$2,900
Adjusted capitalized cost$34,000
Residual: 55% of MSRP$22,000
Term36 months
Money factor0.0025

Step 1: depreciation. $34,000 − $22,000 = $12,000. Divided by 36 months = $333.33 a month.

Step 2: rent charge. $34,000 + $22,000 = $56,000. Multiplied by 0.0025 = $140.00 a month.

Step 3: base payment. $333.33 + $140.00 = $473.33.

Step 4: tax. If your state taxes the monthly payment at 6%, that adds $28.40, for $501.73 a month.

Over 36 months the rent charge totals $140 × 36 = $5,040. That is what the financing costs.

Why you add the two numbers in the rent charge

It looks odd to add the cap cost and the residual. The reason: over the lease, the amount you effectively owe falls from the adjusted cap cost to the residual, so the average balance is the two added together and divided by two. The money factor has that division, and the conversion from a yearly rate to a monthly one, already built in.

Converting money factor to APR

Approximate APR = money factor × 2,400

  • 0.0025 × 2,400 = 6.0%
  • 0.0010 × 2,400 = 2.4%
  • 0.0035 × 2,400 = 8.4%

To go the other way, divide the APR by 2,400. This is an approximation, but a close one, and it lets you compare a lease's financing cost with loan rates you have been quoted.

Lease contracts are not required to show a money factor or an APR. Regulation M requires the rent charge in dollars instead, and it restricts how lessors can present percentage rates. So ask the dealer for the money factor directly. If they will not give it, you can back it out:

Money factor = monthly rent charge ÷ (adjusted cap cost + residual)

Or take the total rent charge from the contract, divide by the number of months, and then apply the formula.

What each lever does

Using the example above, change one input at a time:

ChangeNew base paymentDifference
Negotiate another $1,000 off the price$443.05−$30.28
Money factor 0.0020 instead of 0.0025$445.33−$28.00
Residual 58% instead of 55% ($23,200)$443.00−$30.33
No cap cost reduction ($0 down, no rebate)$561.14+$87.81

A rough rule for 36-month leases: every $1,000 of price moves the payment by about $30.

About putting money down

In the example, the $2,900 cap cost reduction lowers the payment by about $88 a month, or roughly $3,161 over the lease. The saving beyond the $2,900 itself is the rent charge you avoid.

The catch is risk. If a leased car is totaled or stolen early, money you paid up front is generally not returned to you. Many people prefer to put little or nothing down on a lease for that reason and accept the higher payment. Rebates are different: they are not your cash, so applying them costs you nothing.

Fees to look for

FeeWhenNotes
Acquisition feeAt signing, or rolled into the cap costCharged by the leasing company; dealers can sometimes add to it
First month's paymentAt signing
Security depositAt signingNot always required; refundable
Dealer doc fee, title, registrationAt signingSee dealer fees explained
Disposition feeAt returnOften waived if you lease again with the same brand or buy the car
Excess mileage and wearAt returnPer-mile rate and wear standard are stated in the lease
Purchase option feeIf you buy at the endSee the lease buyout guide

The "amount due at signing" must be itemized on the lease. Ask for that itemization with any quote, because a low advertised payment often assumes a large amount due at signing.

Tax varies by state

States tax leases differently. Depending on where you register the car, tax may be charged on each monthly payment, on up-front amounts such as the cap cost reduction, or on the vehicle's full price. Some states also charge personal property tax on leased vehicles, billed through the leasing company. Check your state revenue department's guidance on leased motor vehicles, and ask the dealer to show the tax as its own line. More in sales tax, title, and registration.

Checking a dealer's quote

Ask for these in writing:

Please send the lease worksheet with MSRP, selling price, gross and adjusted cap cost, residual value and percentage, money factor, term, miles per year, itemized amount due at signing, and the monthly payment with tax.

Then:

  1. Run the formula. Your base payment should match theirs within a dollar or two.
  2. If it does not, look for items in the gross cap cost you did not ask for. See dealer add-ons.
  3. Compare the selling price to what dealers are advertising on The Motor Standard.
  4. Compare the money factor, converted to APR, with current loan rates and with the manufacturer's published lease offer for that model, if there is one.
  5. Get quotes from two or three dealers with the same term, mileage, and amount due at signing so the payments are comparable.

If you have not yet decided whether leasing fits you at all, start with lease vs. buy.

Read next · Step 3: Negotiate

Out-the-Door Price: What It Includes and How to Get It in Writing

6 min