You must evaluate the purchase of a proposed spectrometer for the R&D department. The base price...

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You must evaluate the purchase of a proposed spectrometer forthe R&D department. The base price is $80,000, and it wouldcost another $20,000 to modify the equipment for special use by thefirm. The equipment falls into the MACRS 3-year class and would besold after 3 years for $40,000. The applicable depreciation ratesare 33%, 45%, 15%, and 7%. The equipment would require a $9,000increase in net operating working capital (spare parts inventory).The project would have no effect on revenues, but it should savethe firm $38,000 per year in before-tax labor costs. The firm'smarginal federal-plus-state tax rate is 40%.

A: What is the initial investment outlay for the spectrometer,that is, what is the Year 0 project cash flow? Round your answer tothe nearest cent. Negative amount should be indicated by a minussign.

B: What are the project's annual cash flows in Years 1, 2, and3? Round your answers to the nearest cent.

C: If the WACC is 11%, should the spectrometer be purchased? (Yes or No)

Answer & Explanation Solved by verified expert
3.6 Ratings (574 Votes)

Time line 0 1 2 3
Cost of new machine -100000
Initial working capital -9000
=a. Initial Investment outlay -109000
3 years MACR rate 33.00% 45.00% 15.00% 7.00%
Savings 38000 38000 38000
-Depreciation =Cost of machine*MACR% -33000 -45000 -15000 7000 =Salvage Value
=Pretax cash flows 5000 -7000 23000
-taxes =(Pretax cash flows)*(1-tax) 3000 -4200 13800
+Depreciation 33000 45000 15000
=after tax operating cash flow 36000 40800 28800
reversal of working capital 9000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 24000
+Tax shield on salvage book value =Salvage value * tax rate 2800
=Terminal year after tax cash flows 35800
b. Total Cash flow for the period -109000 36000.00 40800.0000 64600.00
Discount factor= (1+discount rate)^corresponding period 1 1.11 1.2321 1.367631
Discounted CF= Cashflow/discount factor -109000 32432.43243 33114.19528 47234.96323
c. NPV= Sum of discounted CF= 3781.59

Purchase spectrometer as NPV is positive


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You must evaluate the purchase of a proposed spectrometer forthe R&D department. The base price is $80,000, and it wouldcost another $20,000 to modify the equipment for special use by thefirm. The equipment falls into the MACRS 3-year class and would besold after 3 years for $40,000. The applicable depreciation ratesare 33%, 45%, 15%, and 7%. The equipment would require a $9,000increase in net operating working capital (spare parts inventory).The project would have no effect on revenues, but it should savethe firm $38,000 per year in before-tax labor costs. The firm'smarginal federal-plus-state tax rate is 40%.A: What is the initial investment outlay for the spectrometer,that is, what is the Year 0 project cash flow? Round your answer tothe nearest cent. Negative amount should be indicated by a minussign.B: What are the project's annual cash flows in Years 1, 2, and3? Round your answers to the nearest cent.C: If the WACC is 11%, should the spectrometer be purchased? (Yes or No)

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