A company is considering the purchase of a new machine for $49,000. Management predicts that the machine can produce sales of $16,100 each year for the next 10 years. Expenses are expected to include direct materials, direct labor, and factory overhead totaling $7,900 per year including depreciation of $4,100 per year. Income tax expense is $3,280 per year based on a tax rate of 40%. What is the payback period for the new machine?

7.47 years

Explanation:

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

= amount invested / cash flows

To derive cash flow: (S - C - D) x (1 - t) + D

S = sales = $16,100

C = Cost of goods sold = $7,900

D = deprecation = $4,100

T = tax = 40%

$16,100 - $7,900 - $4,100 = $4100

$4100 × 0.6 = $2460

$2460 + $4,100 = $6560

$49,000 / $6560 = 7.47 years

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