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You are asked to evaluate the following two projects for the Norton corporation.

ID: 2768656 • Letter: Y

Question

You are asked to evaluate the following two projects for the Norton corporation. Use a discount rate of 14 percent. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods. Project X (Videotapes of the Weather Report) ($42,000 Investment) Project Y (Slow-Motion Replays of Commercials) ($62,000 Investment) Year Cash Flow Year Cash Flow 1 $ 21,000 1 $ 31,000 2 19,000 2 24,000 3 20,000 3 25,000 4 19,600 4 27,000

a. Calculate the profitability index for project X. (Do not round intermediate calculations and round your answer to 2 decimal places.) Profitability index

b. Calculate the profitability index for project Y. (Do not round intermediate calculations and round your answer to 2 decimal places.) Profitability index

Explanation / Answer

Project X

year

Cashflow

PV Factor @ 8%

PV

0

        (42,000)

1.0000

         (42,000.00)

1

          21,000

0.8772

           18,421.05

2

          19,000

0.7695

           14,619.88

3

          20,000

0.6750

           13,499.43

4

          19,600

0.5921

           11,604.77

NPV

           16,145.14

Profitability Index= NPV+ Initial Investment/ Initial investment

                                 =$16,145.14+42,000/42,000

                                =1.38

        

Project Y

year

Cashflow

PV Factor @ 8%

PV

0

        (62,000)

1.0000

         (62,000.00)

1

          31,000

0.8772

           27,192.98

2

          24,000

0.7695

           18,467.22

3

          25,000

0.6750

           16,874.29

4

          27,000

0.5921

           15,986.17

NPV

           16,520.66

Profitability Index= NPV+ Initial Investment/ Initial investment

                                 =$16,520.66+62,000/62,000

                                =1.27

Project X

year

Cashflow

PV Factor @ 8%

PV

0

        (42,000)

1.0000

         (42,000.00)

1

          21,000

0.8772

           18,421.05

2

          19,000

0.7695

           14,619.88

3

          20,000

0.6750

           13,499.43

4

          19,600

0.5921

           11,604.77

NPV

           16,145.14

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