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Gardial Fisheries is considering two mutually exclusive investments. The project

ID: 2625918 • Letter: G

Question

Gardial Fisheries is considering two mutually exclusive investments. The projects' expected net cash flows are as follows:                                                                                                                       

                                                                                                                       

                        Expected Net Cash Flows                                                                                           

            Time     Project A         Project B                                                                                 

            0          ($375) ($575)                                                                         

            1          ($300) $190                                                                           

            2          ($200) $190                                                                           

            3          ($100) $190                                                                           

            4          $600    $190                                                                           

            5          $600    $190                                                                           

            6          $926    $190                                                                           

            7          ($200) $0                                                                               

                                                                                                                       

"a.   If each project's cost of capital is 12%, which project should be selected? If the cost of capital is 18%, what

      project is the proper choice?"   

@ 12% cost of capital                          @ 18% cost of capital                                                                        

                                                            Use Excel's NPV function as explained in this chapter's Tool Kit. Note that the range does not include the costs, which are added separately.                                                   

WACC =        12%                 WACC =        18%                                                                

                                                                                                                       

NPV A =                                 NPV A =                                                                                

                                                                                                                       

NPV B =                                 NPV B =                                                                                

At a cost of capital of 12%, Project A should be selected. However, if the cost of capital rises to 18%, then the choice is reversed, and Project B should be accepted.                                                                                                                

                                                                                                                       

                                                                                                                       

c.   What is each project's IRR?                                                                                                                       

                                                                                                                       

We find the internal rate of return with Excel's IRR function:                                                                                                                 

                                                                                                                       

IRR A =                       Note in the graph above that the X-axis intercepts are equal to the two projects' IRRs.                                                                                     

IRR B =                                                                                                                      

                                                                                                                       

                                                                                                                       

"e.   What is each project's MIRR at a cost of capital of 12%? At r = 18%? (Hint: Consider Period 7 as the end of

       Project B's life.)"                                                                                                               

                                                                                                                       

                                                                                                                       

            @ 12% cost of capital                         @ 18% cost of capital                                                            

                                                                                                                       

            MIRR A =                               MIRR A =                                                                  

            MIRR B =                                MIRR B =                                                                   

                                                                                                           

f.   What is the regular payback period for these two projects?                                                                                                 

Project A                                                                                                        

            Time period      0          1          2          3          4          5          6          7

            Cash flow         (375)    (300)    (200)    (100)    600      $600    $926    ($200)

            Cumulative cash flow                                                                                       

            Payback                                                                                              

                                                                                                           

Project B                                                                                                         

            Time period      0          1          2          3          4          5          6          7

            Cash flow         (575)    190      190      190      190      $190    $190    $0

            Cumulative cash flow                                                                                       

            Payback                                                                                              

                                                                                                           

g.    At a cost of capital of 12%, what is the discounted payback period for these two projects?                                                                                                

WACC   =       12%                                                                                        

                                                                                                           

Project A                                                                                                        

            Time period      0          1          2          3          4          5          6          7

            Cash flow         (375)    (300)    (200)    (100)    600      $600    $926    ($200)

            Disc. cash flow                                                                                    

            Disc. cum. cash flow                                                                                        

            Discounted Payback                                                                                        

                                                                                                           

Project B                                                                                                         

            Time period      0          1          2          3          4          5          6          7

            Cash flow         (575)    190      190      190      190      $190    $190    $0

            Disc. cash flow                                                                                    

            Disc. cum. cash flow                                                                                        

            Discounted Payback                                                                                        

h.   What is the profitability index for each project if the cost of capital is 12%?                         

PV of future cash flows for A:                          

PI of A:                                   

PV of future cash flows for B:                          

PI of B:   

Explanation / Answer

Please find the attached excel file link. See if it helps :)

https://drive.google.com/file/d/0B5XS_-xnCDzZMVRycmlUSFRuWU0/edit?usp=sharing