Find the monthly payment on a lease when you know the rate, or the effective interest rate when you know the payment. Enter the asset value, residual (end-of-term) value, and term. Totals and a principal-versus-interest split are included. For a U.S. car lease with a money factor and sales tax, use the Auto Lease Calculator instead.
Formula
A lease with a residual is priced like a balloon loan. Monthly rate r is the annual rate ÷ 12; n is years × 12 + extra months. The payment amortizes today's value minus the discounted residual:
r = APR% / 1200
PMT = (asset − residual × (1 + r)^(−n)) × r / (1 − (1 + r)^(−n))
At 0% that simplifies to (asset − residual) / n. Fixed Payment inverts
the same identity and solves for r (then APR = r × 12). Total of payments
is the unrounded PMT × n, rounded to cents; total interest is that total minus
(asset − residual).
The default $20,000 asset, $8,000 residual, 3-year term, and 6% rate is $405.06 a month — $14,582.28 over 36 payments, of which $2,582.28 is interest. Drop the payment to $400 and the effective rate is 5.581%.
Default $20,000 · $8,000 residual · 3 years
| Input / result | Amount |
|---|---|
| Asset value | $20,000 |
| Residual value | $8,000 |
| Term | 36 months |
| Interest rate | 6% |
| Monthly pay | $405.06 |
| Total of 36 payments | $14,582.28 |
| Total interest | $2,582.28 |
Examples
Known rate, solve the payment
A copier worth $20,000 will be worth $8,000 after a 3-year lease at 6%. The present value of that $8,000 residual is about $6,685, so you finance roughly $13,315. The level payment is $405.06 a month. Over 36 months you pay $14,582.28; $12,000 is depreciation (principal) and $2,582.28 is interest.
Known payment, solve the rate
The same copier at $400 a month (still $20,000 / $8,000 / 36 months) implies an effective rate of 5.581%. Totals are $14,400 of payments and $2,400 of interest — a slightly cheaper money cost than the 6% quote.