Question

On January 1, James Industries leased equipment to a customer for a five-year period, at which time possession of the leased asset will revert back to James. The equipment cost James $830,000 and has an expected useful life of seven years. Its normal sales price is $830,000. The residual value after five years is $200,000. 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 8%. (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.

Answer 1

Answer:

James Industries

The amount of the annual lease payments is:

= $207,878.86.

Explanation:

a) Data and Calculations:

Cost of equipment = $830,000

Normal sales price = $830,000

Residual value after 5 years = $200,000

Interest rate = 8%

Lease period = 5 years

From an online financial calculator:

Loan Amount  830000

Loan Term  5  years

Interest Rate  8

Results:

Payment Every Year   $207,878.86

Total of 5 Payments   $1,039,394.29

Total Interest   $209,394.29

Lease Payment Schedule:

Period    PV                      PMT                      Interest           FV

1           $830,000.00     $-207,878.86   $66,400.00    $-688,521.14

2            $688,521.14     $-207,878.86    $55,081.69  $-535,723.98

3          $535,723.98     $-207,878.86    $42,857.92  $-370,703.04

4          $370,703.04     $-207,878.86    $29,656.24  $-192,480.42

5          $192,480.42     $-207,878.86     $15,398.43  $0.00