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Auto Lease Calculator: Payment, Money Factor and Interest Rate

This auto lease calculator splits a lease payment into depreciation, a rent charge and sales tax: a car with a $42,000 sticker negotiated down to $40,000, a 58% residual and a money factor worth about 6% comes to about $669 a month for 36 months with fees and tax in.

Example numbers

About 6.00% as an interest rate

3 years

Assumptionsdown payment or trade-in equity $0, fees added to the lease $995, sales tax rate 7%

Result

The answerfrom an example

This lease costs $669.25 a month for 3 years, sales tax included.

Worked on $42,000 MSRP, $40,000 price, 58% residual, money factor 0.0025, $995 fees, 36 months. Change anything below to use yours.

Equivalent interest rate
6.00%
Total lease cost
$24,093
Total rent charge
$5,882

The figures behind it

Equivalent interest rate
6.00%
Money factor 0.0025 × 2,400, a rule of thumb. A lessor may not call this an annual percentage rate.
Total lease cost
$24,093
36 payments of $669.25, nothing down. Fees at signing, the disposition fee and mileage or wear charges are not included.
Total rent charge
$5,882
$163.39 a month: (capitalized cost + residual) × money factor.
Depreciation you pay for
$16,635
$40,995 capitalized cost less the $24,360 residual, spread over 36 payments.
Residual value
$24,360
58% of the $42,000 MSRP: what the lessor expects the car to be worth at the end. A buyout price starts from it.
Capitalized cost
$40,995
$40,000 price plus $995 of fees, less $0 down.
Where each payment goes$669.25
  • Depreciation$462
  • Rent chargeThe finance charge: what you pay to use the lessor’s money.$163
  • Sales tax$44
Payment scheduleShow
LineAmount
Gross capitalized cost$40,995.00
Capitalized cost reduction$0.00
Adjusted capitalized cost$40,995.00
Residual value$24,360.00
Depreciation (total)$16,635.00
Rent charge (total)$5,881.92
Total of base payments$22,516.92
Number of payments36
Base monthly payment$625.47
Sales tax per payment$43.78
Total monthly payment$669.25

What this result assumes

  • The equivalent interest rate is a rule of thumb (money factor × 2,400). A lessor that quotes a rate in an ad or the lease documents must add that it may not measure the overall cost of the lease, and may not call it an annual percentage rate.
  • States differ: some tax each payment, others tax the full price or the amount due at signing, which this calculator does not model.

Depreciation is the value the car loses over the term, the rent charge is the money factor times the sum of the capitalized cost and the residual, and a money factor times 2,400 gives the rough interest rate it stands for.

Methodology

Reviewed by Acun Özdilek

How the payment is built

The calculator follows the payment worksheet Regulation M requires on a lease disclosure (12 CFR 1013.4(f)). The gross capitalized cost is the negotiated price plus any fees rolled into the lease: $40,000 plus $995 here. A down payment or trade-in equity is a capitalized cost reduction, and what is left, $40,995 with nothing down, is the adjusted capitalized cost.

The residual is what the lessor expects the car to be worth at the end of the lease, set as 58% of the $42,000 sticker price, or $24,360. Depreciation is the gap between the adjusted capitalized cost and the residual, $16,635 spread over 36 payments, or $462.08 a month.

Add the rent charge of $163.39 and sales tax of $43.78 and the payment is $669.25 a month. Over the term the lease costs $24,093. Each monthly part is rounded to the cent. The worksheet follows Regulation M: total depreciation is the adjusted capitalized cost less the residual, $16,635, and the total rent charge is the total of the base payments less that depreciation, so line 3 less line 4 equals line 5 whenever there is a rent charge, and lines 5 and 6 add up to line 7.

The money factor and the rent charge

Dealers work the monthly rent charge as the adjusted capitalized cost plus the residual, times the money factor. That formula is a common dealer convention; no regulation states it. It is interest on the average balance: the lease starts at the capitalized cost and ends at the residual, so the average balance is their sum divided by 2, and a month of interest on it at an annual rate r is (cap + residual) × r ÷ 24. With r written as a percent, the divisor becomes 2,400.

That gives the conversion both ways, also a common dealer convention: a money factor times 2,400 is roughly the equivalent interest rate, and a rate divided by 2,400 is the money factor. A money factor of 0.0025 is about 6%.

When the Federal Reserve wrote the lease disclosure rules it described these rates this way: “Typically these rates are based on the lessor’s ‘money factor’—representing only the ‘rent’ or the ‘interest’ charge—and are sometimes labelled as an ‘annual percentage rate.’” (61 FR 52246, 52254, October 7, 1996). Regulation M now bars that label. A lessor that quotes a lease rate in an ad or the lease documents must add that it may not measure the overall cost of financing the lease. It may not use “annual percentage rate,” “annual lease rate” or an equivalent term (12 CFR 1013.4(s)).

Sales tax

Here sales tax is charged on each monthly payment at the rate you enter, which on the default lease is $43.78 a month. States differ: some tax each payment, others tax the full price or the amount due at signing, which this calculator does not model.

What this does not model

It does not say whether to lease or buy. The auto loan calculator works out financing the same car as a purchase, and cash back vs low APR compares a rebate with a low-rate offer on one.

It leaves out charges outside the monthly payment: the disposition fee at turn-in, a purchase option fee, a security deposit, and mileage or excess-wear charges. Early termination is not modelled either.

A money factor is not a loan APR. The APR calculator shows how a loan’s APR folds upfront fees into one yearly rate, which a money factor does not attempt.

Assumptions

  • Sales tax is charged on each monthly payment only, not on the price or the amount due at signing.
  • No disposition fee, purchase option fee, security deposit, mileage charges or excess-wear charges.
  • The first payment is treated like the others; the timing of a payment due at signing is not modelled.
  • Rebates count only if you enter them as part of the down payment.
  • Depreciation, rent charge and tax are each rounded to the cent, so a dealer’s monthly figure can differ by a cent from rounding.
  • The residual and money factor are taken as the lessor quotes them.
  • The lease runs its full term, with no early termination.

Sources

Common questions

What makes up a car lease payment?

Depreciation, a rent charge and sales tax. On a car with a $42,000 sticker, a $40,000 price, $995 of fees, a 58% residual and a money factor of 0.0025 over 36 months, that is $462.08 of depreciation plus $163.39 of rent charge plus $43.78 of tax, or $669.25 a month.

How do I convert a money factor to an interest rate?

Multiply it by 2,400: a money factor of 0.0025 is about 6%. To go back, divide the rate by 2,400, so 6 ÷ 2,400 is 0.0025. People often call the result the lease’s APR, but a lease has no APR: Regulation M bars a lessor from using “annual percentage rate,” “annual lease rate” or an equivalent term (12 CFR 1013.4(s)). The 2,400 factor is a common dealer convention and gives an approximation.

Why is the rent charge based on the capitalized cost plus the residual?

Because it works as interest on the average balance. The balance starts at the capitalized cost and falls to the residual, so the average is half their sum. A month of interest on that at an annual rate r is the sum × r ÷ 24, and with r as a percent the divisor becomes 2,400. That is why the money factor multiplies the sum, and why it is about the rate divided by 2,400.

Where does the residual value come from?

The lessor sets it, as a percentage of the sticker price, from what it expects the car to be worth when the lease ends. You pay for the gap between the capitalized cost and the residual, so a higher residual means less depreciation to pay. A shorter lease often carries a higher residual, but fewer payments share the depreciation: on the same car, 24 months at 65% comes to $793.27 a month against $669.25 for 36 months at 58%.

Does a down payment on a lease lower the total cost?

A little. Putting $3,000 down on the default lease cuts the payment by $97.19 and the total cost by $498.84, about the rent charge and sales tax that $3,000 would have carried over the term. The rest of it moves from the monthly payments to signing day. As the FTC puts it, “A down payment reduces the amount you need to finance or lease. That will lower your total financing or leasing costs.”

Is sales tax charged on the whole car or on each payment?

States differ: some tax each payment, others tax the full price or the amount due at signing, which this calculator does not model. Here the rate you enter is applied to each monthly payment, so set it to zero if your state taxes the lease another way.

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