SOLVETUTORMATH SOLVER

Instrument MI-02-308 · Finance

Lease Calculator

Give it the negotiated price, the residual, the money factor, and the term. It splits the monthly payment into what pays for lost value and what pays to borrow.

Instrument MI-02-308
Sheet 1 OF 1
Rev A
Verified
Type 02 — Loans SER. 2026-02308

Total monthly lease payment

$578.22

depreciation = (cap cost − residual) ⁄ term

$472.22 Depreciation fee (monthly)
$106.00 Finance (rent) fee (monthly)
The working Every figure verified twice
  1. depreciationFee = (35000 − 18000) ⁄ 36 = 472.22
  2. financeFee = (35000 + 18000)·0.002 = 106.00
  3. monthlyPayment = 472.22222 + 106 = 578.22
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

A lease payment is built from two separate charges, not one blended number. The depreciation fee — capitalized cost minus residual value, divided by the term — spreads the asset's expected loss in value evenly across the months you hold it. The finance fee — capitalized cost plus residual value, multiplied by the money factor — behaves like interest, but it is charged on the sum of what the asset is worth now and what it will be worth at handback, not on a shrinking loan balance, because nobody here is retiring a debt; the asset simply reverts to its owner when the term ends.

This split shows up wherever an asset is leased instead of bought outright: a fleet manager pricing a work truck, a clinic financing an imaging machine, a print shop leasing a commercial press, or a driver comparing a car lease against a loan. Whoever reads the quote is usually staring at a money factor written as a small decimal, something like 0.002, instead of a percentage rate — a convention borrowed from vehicle leasing that makes two competing quotes hard to compare at a glance until the money factor is multiplied by 2,400 to approximate the equivalent annual rate.

The arithmetic here prices depreciation and financing only, and stops there. It leaves out the acquisition fee charged at signing, any disposition fee due at handback, sales tax on the payment where it applies, and per-unit or per-mile overage charges for exceeding a usage cap written into the contract. Residual value is not something this sheet estimates; it is a figure the lessor sets in advance, and a residual pitched low relative to how well an asset actually holds its value is one of the more common reasons a lease payment lands higher than the depreciation alone would suggest.

depreciation=cap costresidualterm\text{depreciation} = \frac{\text{cap cost} - \text{residual}}{\text{term}}finance=(cap cost+residual)×money factor\text{finance} = (\text{cap cost} + \text{residual}) \times \text{money factor}payment=depreciation+finance\text{payment} = \text{depreciation} + \text{finance}
cap cost — Negotiated price (capitalized cost), $ · residual — Residual value at lease end, $ · term — Lease term, months · money factor — the financing rate as a small decimal; multiply by 2,400 for an approximate annual rate · payment — Total monthly lease payment.
  • Enter the agreed price under Negotiated price (capitalized cost), $ — before any down payment or trade-in credit.
  • Set Residual value at lease end, $ to the figure the lessor quotes; it is fixed by them, not negotiated by you.
  • Enter Money factor exactly as quoted, a small decimal like 0.002 — divide a percentage rate by 2,400 first if that's all you were given.
  • Choose Lease term, months for how long the contract runs.
  • Read Depreciation fee (monthly), Finance (rent) fee (monthly), and Total monthly lease payment, then change Money factor or Lease term to see how each moves the two fees on its own.

Worked example — a $35,000 asset, $18,000 residual

Take a $35,000 Negotiated price (capitalized cost), $ against an $18,000 Residual value at lease end, $, over a 36-month Lease term, months, at a Money factor of 0.002. The depreciation fee is (35,000 minus 18,000) divided by 36, which is $472.22 a month, the value the asset is expected to lose spread evenly across the term. The finance fee is (35,000 plus 18,000) times 0.002, which is $106.00 a month. Add them and Total monthly lease payment reads $578.22.

That 0.002 money factor is equivalent to roughly a 4.8% annual rate, since 0.002 times 2,400 is 4.8 — a quick figure to hold against a loan quote when the decision is lease against buy. Push Money factor toward zero, an interest-free promotional rate, and the payment falls toward $472.22, the depreciation fee alone, confirming the finance fee is the only piece the rate touches.

Questions

Why does the finance fee add cap cost and residual instead of subtracting them?

Because the finance fee approximates the average amount of the lessor's money tied up across the whole term, not a shrinking loan balance the way interest normally works. Cap cost plus residual, run through the money factor, stands in for that average — which is why the $106.00 finance fee in the golden example stays flat every month instead of declining like loan interest would.

What is a money factor, and why is it not just an interest rate?

A money factor is a lease's financing charge written as a small decimal, commonly 0.0001 to 0.005, rather than a percentage. Multiply it by 2,400 to get an approximate annual rate: the golden example's 0.002 money factor works out to about 4.8%, the fastest way to weigh a lease's financing cost against a loan quote or a competing lease quoted differently.

Can I negotiate the residual value the way I negotiate the capitalized cost?

Rarely. The residual is set in advance by the lessor from resale or trade-in forecasts for that specific asset, not discussed at signing. Capitalized cost, the negotiated price, is the number actually open to bargaining — lowering it drops the depreciation fee directly, month for month, since it is the only variable that half of the formula depends on.

Does this payment include acquisition fees, tax, or usage overage charges?

No. This sheet prices the depreciation fee and finance fee only, the two components every lease payment is built from. It excludes the acquisition fee charged at signing, any disposition fee due at handback, sales tax on the payment where it applies, and per-mile or per-unit charges for exceeding a usage allowance. Add those from the actual contract on top of this figure.

How does this compare to financing the same asset with a loan instead?

A loan payment retires the asset's full price and you own it afterward; a lease payment covers only the drop from capitalized cost to residual plus a financing charge, and the asset goes back at the end. For the golden example's $35,000 asset, a loan sized to pay it off over the same 36 months would carry a materially higher monthly payment than this lease's $578.22, because a loan repays the whole price rather than just the value used up.

What happens to the payment if the residual value turns out to be wrong?

Nothing changes during the term — the residual is fixed in the contract regardless of what the asset is actually worth at handback. A residual set too high relative to real resale value is the lessor's risk, not yours, which is one reason lessors price riskier or fast-depreciating assets with a lower residual and, in turn, a higher depreciation fee for the same term.

References

Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.