Question

In: Finance

\\ Compute the internal rate of return for the cash flows of the following two projects....

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Compute the internal rate of return for the cash flows of the following two projects. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

    

Year Project A Project B
  0 –$ 6,300 –$ 3,900  
  1 2,400 1,400  
  2 3,200 2,500  
  3 2,000 1,600  

    

Solutions

Expert Solution

Project A
IRR is the rate at which NPV =0 0
IRR 10.27%
Year 0 1 2 3
Cash flow stream -6300.000 2400.000 3200.000 2000.000
Discounting factor 1.000 1.103 1.216 1.341
Discounted cash flows project -6300.000 2176.515 2631.787 1491.699
NPV = Sum of discounted cash flows
NPV Project A = 0.000
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor
Project B
IRR is the rate at which NPV =0 0
IRR 18.86%
Year 0 1 2 3
Cash flow stream -3900.000 1400.000 2500.000 1600.000
Discounting factor 1.000 1.189 1.413 1.679
Discounted cash flows project -3900.000 1177.817 1769.455 952.728
NPV = Sum of discounted cash flows
NPV Project B = 0.000
Where
Discounting factor = (1 + discount rate)^(Corresponding period in years)
Discounted Cashflow= Cash flow stream/discounting factor

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