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, guaranteed by the lessee, 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. Collectibility of the remaining lease payments is reasonably assured, and there are no material cost uncertainties. The interest rate is 5%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Calculate the amount of the annual lease payments

Guaranteed Residual Value

Table or calculator function: n=?, i=?

Amount ot be recovered (fair value) $?

Guaranteed residual value $?

Amount to be recovered through periodic lease payments $?

Lease Payment

Table or calculator function: PVAD of $1 ?

n=?, i=?

Amount of fair value recovered each lease payment (Lease Payments $?)

* I would like to make sure the answer is correct. Please provide step by step calculate and explain.

Answer 1

Answer:

-  $700,000

- 82,270

- $617,730

- present value of $1: n=4, i=5%

- the present value of an ordinary annuity of $1: n=4, i=5%

Explanation:

Amount to be recovered (fair value):                                              $700,000

Less: Present value of the residual value ($100,000 x .82270*):      82,270

Amount to be recovered through periodic lease payments:           $617,730

Lease payments -: end of each of the next four years: ($617,730 ÷ 3.54595**) $174,207

* present value of $1: n=4, i=5%

** present value of an ordinary annuity of $1: n=4, i=5%