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There are two mutually exclusive projects

Finance Dec 24, 2020

There are two mutually exclusive projects. The hurdle rate (discount rate) is 14%. A project A requires $100’000 today and returning $115’000 in one year. A project B requires $1’000’000 today returning $1’150’000 in one year. Project A: IRR = 15% Project B IRR = 15%. How would you decide which project to choose? Prove your answer with the necessary computations.

Expert Solution

Project A    
Discount rate 0.14  
Year 0 1
Cash flow stream -100000 115000
Discounting factor 1 1.14
Discounted cash flows project -100000 100877.2
NPV = Sum of discounted cash flows  
NPV Project A = 877.19  
Where    
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
     
     
     
     
Project B    
Discount rate 0.14  
Year 0 1
Cash flow stream -1000000 1150000
Discounting factor 1 1.14
Discounted cash flows project -1000000 1008772
NPV = Sum of discounted cash flows  
NPV Project B = 8771.93  
Where    
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
     
     

Choose project B as it has higher NPV

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