In: Finance
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?
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 |