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Car lease payment calculator

By Jude Wallis

A lease payment has two parts. Depreciation spreads the drop from a $30,000 capitalised cost to an $18,000 residual over 36 months, which is $333.33 a month. A 0.00125 money factor adds a $60 rent charge, for $393.33 before tax.

Monthly lease payment

$393.33

Money factor 0.00125 from a 3 percent APR.

Depreciation
$333.33
Rent charge
$60.00
Payment
$393.33
Money factor
0.00125
$
$
%

Converted to a money factor as APR / 2400.

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The formula

payment=CRn+(C+R)f\text{payment}=\frac{C-R}{n}+(C+R)f

CC is capitalised cost, RR the residual value, nn the months in the term and ff the money factor. The rent charge uses the sum of CC and RR, not the difference.

You pay for the part you use up

A lease charges for depreciation, not for the car. Going from $30,000 to an $18,000 residual uses up 12000 of value, and spreading that over 36 months is $333.33 a month. Raise the residual and the payment falls, because there is less value to pay for.

This is why the residual matters as much as the price. Two identical cars at the same capitalised cost have very different payments if one holds its value better, and the residual is set by the lessor rather than negotiated.

The rent charge uses the sum, not the difference

The second term surprises almost everyone: the finance charge multiplies the money factor by 30000+18000=4800030000 + 18000 = 48000, the sum of capitalised cost and residual, giving $60 a month. Interest is being charged on the money the lessor has tied up, which averages out to roughly the midpoint of the two values across the term, and multiplying the sum is the shorthand for that average.

Use the difference by mistake and the rent charge comes out at a quarter of the truth. The car loan calculator shows the contrast: a loan charges interest on a falling balance you own, while a lease charges on value you are only renting.

A money factor is an interest rate in disguise

The 0.00125 in this example is 3 percent a year: multiply by 2400 and you have the APR. That conversion is the single most useful thing to know at a lease desk, because 0.00125 reads as nothing and 3 percent reads as a rate. The money factor calculator does the conversion both ways.

The second example uses 0.001, which is 2.4 percent, on a shorter 24 month term. Shorter terms raise the depreciation part and shrink the rent part, because there are fewer months to spread a similar drop in value over.

What the payment covers

This is the base monthly payment: depreciation plus rent charge. Sales tax, registration, acquisition and disposition fees are added by the lessor on top, and any capitalised cost reduction paid up front lowers CC before the arithmetic starts. Car finance and depreciation sets leases against buying, and depreciation as a concept sits behind both. This is educational material, not financial advice.

Worked examples

\$30,000 to an \$18,000 residual over 36 months

The capitalised cost is $30,000, the residual is $18,000, the term is 36 months and the money factor is 0.00125. What is the monthly payment?

  1. Depreciation: (3000018000)/36=333.33(30000 - 18000) / 36 = 333.33 a month.
  2. Rent charge: (30000+18000)×0.00125=60(30000 + 18000) \times 0.00125 = 60 a month.
  3. Payment: 333.33+60=393.33333.33 + 60 = 393.33.

The payment is $393.33 a month before tax: $333.33 of depreciation and $60 of rent charge.

A shorter term on a cheaper car

Capitalised cost $25,000, residual $15,000, 24 months, money factor 0.001. What is the payment?

  1. Depreciation: (2500015000)/24=416.67(25000 - 15000) / 24 = 416.67 a month.
  2. Rent charge: (25000+15000)×0.001=40(25000 + 15000) \times 0.001 = 40.
  3. Payment: 416.67+40=456.67416.67 + 40 = 456.67.

The payment is $456.67: $416.67 of depreciation and $40 of rent charge. Fewer months means a bigger depreciation share.

Multiplying the money factor by the depreciation

The rent charge uses capitalised cost plus residual, not minus. On this lease that is the difference between $60 a month and 15, which over 36 months is a real amount of money hidden inside a number nobody checks.

Common questions

How do I read a money factor as a rate?

Multiply by 2400. A money factor of 0.00125 is 3 percent a year.

Does a bigger deposit lower the payment?

Yes, by lowering the capitalised cost before the arithmetic runs, which shrinks both the depreciation and the rent charge.

Is this financial advice?

No. It is educational material for the two part lease payment identity.

This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.