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30 March, 16:12

A company is planning to purchase a machine that will cost $54,000 with a six-year life and no salvage value. The company expects to sell the machine's output of 3,000 units evenly throughout each year. A projected income statement for each year of the asset's life appears below. What is the payback period for this machine?

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  1. 30 March, 16:30
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    Answer: 3.63 years.

    Explanation:

    The Payback period of a machine refers to how long it will take to repay it's initial investment. In this case, how long it will take to repay $54,000.

    The Net Income is given in the income statement. The Depreciation needs to be added back to this income though because it is a non-cash expense so failing to add it back understates the actual amount of money that the company is getting from the machine.

    Total Annual Payback = Net Income + Depreciation

    = 5,850 + 9,000

    = $14,850

    Payback Period is,

    = Initial Cost / Annual Inflow

    = 54,000 / 14,850

    = 3.63 years
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