Question

A machine can be purchased for $60,000 and used for five years, yielding the following net incomes. In projecting net incomes,

straight-line depreciation is applied using a five-year life and a zero salvage value.
Year 1
$3,900
Year 2
$9,900
Year 3
$32,000
Year 4
$14,700
Net income
Year 5
$39,600
Compute the machine's payback period (ignore taxes). (Round your intermediate calculations to 3 decimal places and round
payback period answer to 3 decimal places.)

Answer 1

2.505 Years

Step-by-step explanation:

Payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative cash flows

cash flow = ne income + depreciation

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

60,000 / 5 = $12,000

Cash flows :

Year 1 = 15900

Year 2 = 21900

Year 3 = 44,000

Amount recovered in year 1 = $-60,000 + 15900 = -44,100

Amount recovered in year 2 = -44,100 + 21900 = -22.200

Amount recovered in year 3 = - 22,200 + 44,000 = 21800

payback = 2 years + 22,200 /44,000 = 2.505 years