Answer:
A. 1.89 years
B. 2.33 years
Explanation:
According to the scenario, computation of the given data are as follows,
(A) After-tax income = $72,115
Expected cost = $250,000
Useful life = 4 years
Salvage value = $10,000
Depreciation Value = ($250,000 - $10,000) ÷ 4 = $60,000
Annual net cashflow = After tax income + Depreciation
= $72,115 + $60,000 = $132,115
Payback Period = Machine expected cost ÷ Annual net cash flow
= $250,000 ÷ $132,115
= 1.89 years
(B) After-tax income = $39,000
Machine cost = $200,000
Useful life = 8 years
Salvage value = $13,000
Depreciation value = ($200,000 - $13,000) ÷ 4 = $46,750
Annual net cashflow = After tax income + Depreciation
= $39,000 + $46,750 = $85,750
Payback Period = Machine expected cost ÷ Annual net cash flow
= $200,000 ÷ $85,750
= 2.33 years
