Question

In: Finance

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

ou must evaluate the purchase of a proposed spectrometer for the R&D department. The purchase price of the spectrometer including modifications is $110,000, and the equipment will be fully depreciated at the time of purchase. The equipment would be sold after 3 years for $53,000. The equipment would require an $11,000 increase in net operating working capital (spare parts inventory). The project would have no effect on revenues, but it should save the firm $74,000 per year in before-tax labor costs. The firm's marginal federal-plus-state tax rate is 25%. What is the initial investment outlay for the spectrometer, that is, what is the Year 0 project cash flow? Enter your answer as a positive value. Round your answer to the nearest dollar. $ What are the project's annual cash flows in Years 1, 2, and 3? Do not round intermediate calculations. Round your answers to the nearest dollar. Year 1: $ Year 2: $ Year 3: $ If the WACC is 10%, should the spectrometer be purchased?

Solutions

Expert Solution

a: Year 0 cash flow is -$93,500

b: Annual cash flow for year 1 is $55,500

  Annual cash flow for year 2 is $55,500

  Annual cash flow for year 3 is $106,250

c: NPV of the project is $82,649.51

Spectrometer should be purchase since NPV of the project is positive

Calculation of NPV of the Project
Particulars 0 1 2 3
Initial Investment
Spectometer Base Price (A) -110000
Working Capital (B) -11000
Net Investment (C = A+B) -121000
Operating Cashflows
Decrease in operating costs (D) 74000 74000 74000
Less: Depreciation (E)
($110,000 *100%)
110000 0.00 0.00 0.00
Profit Before Tax (F = D-E) -110000 74000 74000 74000
Less: Tax @25%(G = F*25%) -27500 18500 18500 18500
Profit After Tax (H = F-G) -82500 55500 55500 55500
Addback Depreciation (I = E) 110000 0.00 0.00 0.00
Net Operating Cashflows (J = H+I) 27500 55500.00 55500.00 55500
Salvage Value
Sale value of Spectometer (K) 53000
Less: Tax @25% (L= K*25%) 13250
After tax sale value (M = K-L) 39750
Recovery of net working capital (N) 11000
Net Terminal Value (O = M+N) 50750
Total Cash Flows (P = C+J+O) -93500 55500 55500 106250
Discount Factor @10% (Q )
1/(1+10%)^n n=0,1,2,3
1 0.909090909 0.82644628 0.7513148
Discounted Cash Flows (R = P*Q) -93500 50454.54545 45867.7686 79827.198
NPV of the project 82649.5116

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