In: Accounting
Parrish, Inc. is considering the purchase of a machine that would cost $240,000 and would last for 5 years, at the end of which, the machine would have a salvage value of $48,000. The machine would reduce labor and other costs by $62,000 per year. Additional working capital of $7,000 would be needed immediately, all of which would be recovered at the end of 5 years. The company’s discount rate is 17%
Compute the net present value of the proposed project. Should the project be accepted or rejected? Why?
Answer :
The net present value of the proposed project of Parrish Inc is calculated by
Net present value = Present value of cash inflows - present value of cash outflows
Present value of cash inflows
= Present value of annual cash inflows + Present value of salvage value + working capital recovery
Present vlaue of annual cash inflows = Annual reduction of labour and other costs*PVIFA (5 yearss, 17%)
= $62,000 * 3.1993
= $198,357 A
Present value of salvage value = Salvage value * PVIF (5 years, 17%)
= 48,000 * 0.4561
= $21,893 B
Present value of working capital recovery = $7,000*PVIF (5 years, 17%)
= 7,000*0.4561
= $3,193 C
A + B + C = $223,443
Present value of cash outflows = cost of the machine + increase in working capital
'= $240,000 + $7,000
= $247,000
Net present value = $223,443 - $247,000
Net present vlaue = ($23,557)
Conclusion : Parrish Inc should not accept the proposal to purchase the machine as the Net present value of the project is negative.
Kindly Up-vote Thank You !!!