Question

A new manufacturing machine is expected to cost $289,000, have an eight-year life, and a $33,000 salvage value. The machine will yield an annual incremental after-tax income of $34,000 after deducting the straight-line depreciation. Compute the payback period for the purchase.

Answer 1

4.38 years

Step-by-step explanation:

Data provided in the question:

Cost of the machine = $289,000

Useful life = 8 years

Salvage value = $33,000

Incremental income after deducting depreciation = $34,000

Now,

Annual depreciation = [ Cost - Salvage value ] ÷ Useful life

= [ $289,000 - $33,000 ] ÷ 8

= $32,000

Thus,

Net Annual cash flow = Incremental income + Annual depreciation

= $34,000 + $32,000

= $66,000

Therefore,

Payback period = Cost ÷ ( Net Annual cash flow )

= $289,000 ÷ $66,000

= 4.38 years