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You must evaluate the purchase of a proposed spectrometer for the R&D department

Finance Nov 13, 2020

You must evaluate the purchase of a proposed spectrometer for the R&D department. The base price is $100,000, and it would cost another $15,000 to modify the equipment for special use by the firm. The equipment falls into the MACRS 3-year class and would be sold after 3 years for $30,000. The applicable depreciation rates are 33%, 45%, 15%, and 7%. The equipment would require a $12,000 increase in net operating working capital (spare parts inventory). The project would have no effect on revenues, but it should save the firm $35,000 per year in before-tax labor costs. The firm's marginal federal-plus-state tax rate is 40%.

  1. What is the initial investment outlay for the spectrometer, that is, what is the Year 0 project cash flow? Round your answer to the nearest cent. Negative amount should be indicated by a minus sign.
    $
  2. What are the project's annual cash flows in Years 1, 2, and 3? Round your answers to the nearest cent.

    In Year 1 $

    In Year 2 $

    In Year 3 $

  3. If the WACC is 11%, should the spectrometer be purchased?
    -Select-YesNoItem 5

Expert Solution

Answer :(a.) -127000

Annaul cash Inflow 1 = 36180

Annaul cash Inflow 2 = 41700

Annaul cash Inflow 3 =27900

c.) No

  Year 0 Year 1 Year 2 Year 3
Base Price -100000      
Modification Cost -15000      
NOWC -12000      
         
Before tax Labour Cost saving   35000 35000 35000
         
Less : Depreciation (Working Note)   37950 51750 17250
         
Operating Income   -2950 -16750 17750
         
Less :Taxes @ 40%   -1180 -6700 7100
         
After Tax Operating Income   -1770 -10050 10650
         
Add : Depreciation   37950 51750 17250
         
Operating Cash Flows   36180 41700 27900
         
Termination Cash Flows        
Before Tax salvage Proceeds       30000
         
Less : Tax on Sale       8780
         
Recapture of Net Working Capital       12000
         
Projects Cash Flows -127000 (a.) 36180 41700 61120
         
PV Factor @ 11% 1 0.900901 0.811622 0.731191
         
PV of Net Cash flows (Inflow)   32594.59 33844.66 44690.42
PV of Net Cash flows (Outflow) -127000      
         
The net present value (NPV) of this project is           =   $ - 15870.33
Project Acceptance                                               NO    
NPV = PV of cash inflow - PV of cash outflow        
        = 111129.67- 127000        
        =   $ - 15870.33        
         
Working Note :        
Calculation of Depreciation        
Year 1 = (100000+15000) * 33% = 37950        
Year 2 = (100000+15000) * 45% = 51750        
Year 3 = (100000+15000) * 15% = 17250        
         
Book Value at the end of year 3 = 115000 - 37950 - 51750 - 17250 = 8050        
Gain on Sale = 30000 - 8050 = 21950        
Tax on Gain on sale = 21950 * 40% = 8780  
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