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RainMan Inc is in the business of producing rain upon request

Finance Nov 03, 2020

RainMan Inc is in the business of producing rain upon request. They must decide between two investment projects: a new airplane for seeding rain clouds or a new weather control machine built by Dr. Nutzbaum. The discount rate for the new airplane is 9%, while the discount rate for the weather machine is 39% (it happens to have higher market risk). Which investment should the company select and why? (Assume a 0% inflation rate.)

Year       Airplane       Weather Machine
0             -900              -900
1              500               550
2              600               600
3                                    685    

Expert Solution

1] NPV of New Airplane = -900+500/1.09+600/1.09^2 = $                  63.72
2] NPV of Weather Machine = -900+550/1.39+600/1.39^2+685/1.39^3 = $                  61.29
3] Using NPV as the criteria, New Airplane is to be  
  selected as it has higher NPV.  
4] But, as the two options have different lives [assuming  
  that the two projects are repeatable, then the Equivalent  
  Annual NPV [Converting the above NPV into annuity  
  for the lives of the projects] should be calculated.  
  Equivalent Annual NPV:  
  For New Airplane = 63.72*0.09*1.09^2/(1.09^2-1) = $                  36.22
  For Weather Machine = 61.29*0.39*1.39^3/(1.39^3-1) = $                  38.08
  Using EANPV, the Weather Machine with higher EANPV is  
  to be selected, as it will give higher equated annual NPV.  
  Note: The decision using EANPV should be made only if,  
  the two projects are repeatable.
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