In: Finance
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NEW PROJECT ANALYSIS You must evaluate a proposal to buy a new milling machine. The base price is $123,000, and shipping and installation costs would add another $17,000. The machine falls into the MACRS 3-year class, and it would be sold after 3 years for $79,950. The applicable depreciation rates are 33%, 45%, 15%, and 7%. The machine would require a $5,000 increase in net operating working capital (increased inventory less increased accounts payable). There would be no effect on revenues, but pretax labor costs would decline by $55,000 per year. The marginal tax rate is 35%, and the WACC is 14%. Also, the firm spent $5,000 last year investigating the feasibility of using the machine.
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Initial Investment = Base Price + Modification Cost
Initial Investment = $123,000 + $17,000
Initial Investment = $140,000
Useful Life = 3 years
Depreciation Year 1 = 33% * $140,000
Depreciation Year 1 = $46,200
Depreciation Year 2 = 45% * $140,000
Depreciation Year 2 = $63,000
Depreciation Year 3 = 15% * $140,000
Depreciation Year 3 = $21,000
Book Value at the end of Year 3 = $140,000 - $46,200 - $63,000 -
$21,000
Book Value at the end of Year 3 = $9,800
After-tax Salvage Value = Salvage Value - (Salvage Value - Book
Value) * tax rate
After-tax Salvage Value = $79,950 - ($79,950 - $9,800) * 0.35
After-tax Salvage Value = $55,397.50
Initial Investment in NWC = $5,000
Answer a.
Last year's expenditure is considered as a sunk cost and does not represent an incremental cash flow. Hence, it should not be included in the analysis.
Answer b.
Year 0:
Net Cash Flows = Initial Investment + Initial Investment in
NWC
Net Cash Flows = -$140,000 - $5,000
Net Cash Flows = -$145,000
Answer b.
Year 1:
Operating Cash Flow = Pretax Cost Saving * (1 - tax) + tax *
Depreciation
Operating Cash Flow = $55,000 * (1 - 0.35) + 0.35 * $46,200
Operating Cash Flow = $51,920
Net Cash Flows = Operating Cash Flow
Net Cash Flows = $51,920
Year 2:
Operating Cash Flow = Pretax Cost Saving * (1 - tax) + tax *
Depreciation
Operating Cash Flow = $55,000 * (1 - 0.35) + 0.35 * $63,000
Operating Cash Flow = $57,800
Net Cash Flows = Operating Cash Flow
Net Cash Flows = $57,800
Year 3:
Operating Cash Flow = Pretax Cost Saving * (1 - tax) + tax *
Depreciation
Operating Cash Flow = $55,000 * (1 - 0.35) + 0.35 * $21,000
Operating Cash Flow = $43,100
Net Cash Flows = Operating Cash Flow + NWC recovered + After-tax
Salvage Value
Net Cash Flows = $43,100 + $5,000 + $55,397.50
Net Cash Flows = $103,497.50
Answer c.
WACC = 14%
NPV = -$145,000 + $51,920/1.14 + $57,800/1.14^2 +
$103,497.50/1.14^3
NPV = $14,876.95
Yes, the machine should be purchased as NPV is positive.