You must evaluate the purchase of a proposed spectrometer for the R&D department. The purchase price of the spectrometer including modifications is $260,000, and the equipment will be fully depreciated at the time of purchase. The equipment would be sold after 3 years for $79,000. The equipment would require a $13,000 increase in net operating working capital (spare parts inventory). The project would have no effect on revenues, but it should save the firm $77,000 per year in before-tax labor costs. The firm's marginal federal-plus-state tax rate is 25%.
Time line | 0 | 1 | 2 | 3 | |||
Cost of new machine | -260000 | ||||||
Initial working capital | -13000 | ||||||
=a. Initial Investment outlay | -273000 | ||||||
3 years MACR rate | 33.33% | 44.45% | 14.81% | 7.41% | |||
Savings | 77000 | 77000 | 77000 | ||||
-Depreciation | =Cost of machine*MACR% | -86658 | -115570 | -38506 | 19266 | =Salvage Value | |
=Pretax cash flows | -9658 | -38570 | 38494 | ||||
-taxes | =(Pretax cash flows)*(1-tax) | -7243.5 | -28927.5 | 28870.5 | |||
+Depreciation | 86658 | 115570 | 38506 | ||||
=after tax operating cash flow | 79414.5 | 86642.5 | 67376.5 | ||||
reversal of working capital | 13000 | ||||||
+Proceeds from sale of equipment after tax | =selling price* ( 1 -tax rate) | 59250 | |||||
+Tax shield on salvage book value | =Salvage value * tax rate | 4816.5 | |||||
=Terminal year after tax cash flows | 77066.5 | ||||||
b. Total Cash flow for the period | -273000 | 79414.5 | 86642.5 | 144443 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.11 | 1.2321 | 1.367631 | ||
Discounted CF= | Cashflow/discount factor | -273000 | 71544.59459 | 70320.99667 | 105615.4767 | ||
c. NPV= | Sum of discounted CF= | -25518.93 |
Reject as NPV is negative
You must evaluate the purchase of a proposed spectrometer for the R&D department. The purchase price...
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12.8
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