Question

On January 1, Smith Industries leased equipment to a customer for a four-year period, at which time possession of the leased asset will revert back to Smith. The equipment cost Smith $425,000 and has an expected useful life of six years. Its normal sales price is $425,000. 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 8%. Calculate the amount of the annual lease payments. (Round your answer to the nearest whole dollar.)

Answer 1

Answer:

The amount of the annual lease payments is $98,124.

Explanation:

This can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = Annual lease payments = ?

A = Amount to be recovered through periodic lease payments = Equipment cost - Residual value = $425,000 - $100,000 = $325,000

r = interest rate = 8%, or 0.08

n = Number of years of lease term  = 4

Substituting all the figures into equation (1), we have:

P = ($325,000 * (0.08 * (1 + 0.08)^4)) / (((1+0.08)^4) - 1)

P = $98,124.2614475627

Rounding to the nearest whole dollar as required, we have:

P = $98,124

Therefore, the amount of the annual lease payments is $98,124.