Question

On January 1, James Industries leased equipment to a customer for a four-year period, at which time possession of the leased asset will revert back to James. The equipment cost James $700,000 and has an expected useful life of six years. Its normal sales price is $700,000. The residual value after four years is $100,000. Lease payments are due on December 31 of each year, beginning with the first payment at the end of the first year. The interest rate is 5%. Calculate the amount of the annual lease payments.

Answer 1

$174,207.19

Step-by-step explanation:

Amount to be recovered (Fair value) = $700,000.....A

PV of residual value = $100,000 * PVIF of $1(5%, 4) = $100,000 * 0.82270 = $82,270.........B

Amount to be recovered through periodic lease payments = A - B = $700,000 - $82,270 = $617,730

Annual lease payment = Amount to be recovered through periodic lease payments / PV of ordinary annuity of $1(5%, 4)

Annual lease payment = $617,730 / 3.54595

Annual lease payment = $174207.194123

Annual lease payment = $174,207.19

So, the amount of the annual lease payments is $174,207.19.