A machine can be purchased for $140,000 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 Year 2 Year 3 Year 4 Year 5 Net income $ 9,500 $ 23,500 $ 64,000 $ 35,500 $ 94,000 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.)

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Answer:

Payback is 4.08 years

Explanation:

The payback period is the number of years it take an initial investment outlay to repay itself.

When an even amount of cash flow is involved,the payback period is simply the initial investment divided by annual cash inflow.

However,an uneven cash flow situation like this is better handled using an excel approach where the payback year is the year prior to the year in which the cumulative cash inflow becomes positive plus a a fraction of the year tha follows as shown in the attached

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