A new manufacturing machine is expected to cost $278,000, have an eight-year life, and a $30,000 salvage value. The machine will yield an annual incremental after-tax income of $35,000 after deducting the straight-line depreciation. Compute the payback period for the purchase. A) 8.7 years
B) 3.8 years.
C) 4.2 years
D) 7.3 years
E) 5.4 years

C) 4.2 years

Explanation:

The computation of the payback period is as follows;

As we know that

Payback Period = Initial cost ÷ Annual net cash flow

Here

Initial cost = $278000

Annual net cash flow = Incremental after tax + Depreciation per year

where,  

Depreciation per year = (Original cost - Salvage value) ÷ Estimated Life

= ($278,000 - $30,000) ÷ 8 years

= $31,000

Annual net cash flow is

= $35000 + $31000

= $66000

So,

Payback Period is

= $278000 ÷ $66000

= 4.2 Years

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