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Consider the following two projects with differing lives and suppose each project will be replicated continuously once it wears out

Finance Nov 27, 2020

Consider the following two projects with differing lives and suppose each project will be replicated continuously once it wears out. Which Project would you invest in? Project Year 0 Year 0 Year 1 Cash Cash Flow Flow A -100 40 B -73 30 Discount Rate Year 2 Cash Flow 50 30 Year 3 Cash Flow 60 30 Year 4 Cash Flow 0.11 0.11 30

Expert Solution

We have to find the Equivalent Annual Annuity (EAA) for both the projects and which ever project has higher EAA has to be accepted

Use NPV function to find the NPV

=NPV(rate,Year1 to YearN cashflows)-Year0 cashflow

Project A:

=NPV(11%, Year1 to Year3 cashflows)-100=20.49

Use PMT function in EXCEL to find EAA

=PMT(rate,nper,pv,fv,type)

rate=11%;nper=3 years;pv=20.49,fv=0

=PMT(11%,3,-20.49,0,0)=8.38

Project B:

=NPV(11%, Year1 to Year3 cashflows)-73=20.07

Use PMT function in EXCEL to find EAA

=PMT(rate,nper,pv,fv,type)

rate=11%;nper=4 years;pv=20.07,fv=0

=PMT(11%,4,-20.07,0,0)=6.47

We should accept Project A because of higher EAA

discount rate   11.0%  
   Project A   Project B
Year0   -100   -73
Year1   40   30.00
Year2   50   30.00
Year3   60   30.00
Year4 30.00
      
NPV   20.49   20.07
EAA   8.38   6.47

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