Answer:
a. The annual lease payment for Situation 1 is $12,774.47.
b. The annual lease payment for Situation 2 is $71,486.40.
c. The annual lease payment for Situation 3 is $57,412.37.
Explanation:
The annual lease payments can be calculated using the formula for calculating loan amortization as follows:
P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)
Where,
<u>For Situation 1</u>
P = Annual lease payments = ?
A = Fair value of leased asset = $62,000
r = interest rate = Lessor’s rate of return = 10%, or 0.01
n = Number of years of lease term = 5
Substituting all the figures into equation (1), we have:
P = ($62,000 * (0.01 * (1 + 0.01)^5)) / (((1+0.01)^5) - 1)
P = $12,774.47
Therefore, the annual lease payment for Situation 1 is $12,774.47.
<u>For Situation 2</u>
P = Annual lease payments = ?
A = Fair value of leased asset = $421,000
r = interest rate = Lessor’s rate of return = 11%, or 0.11
n = Number of years of lease term = 10
Substituting all the figures into equation (1), we have:
P = ($421,000 * (0.11 * (1 + 0.11)^10)) / (((1 + 0.11)^10) - 1)
P = $71,486.40
Therefore, the annual lease payment for Situation 2 is $71,486.40.
<u>For Situation 3</u>
P = Annual lease payments = ?
A = Fair value of leased asset = $186,000
r = interest rate = Lessor’s rate of return = 9%, or 0.09
n = Number of years of lease term = 4
Substituting all the figures into equation (1), we have:
P = ($186,000 * (0.09 * (1 + 0.09)^4)) / (((1 + 0.09)^4) - 1)
P = $57,412.37
Therefore, the annual lease payment for Situation 3 is $57,412.37.
