Question

In: Finance

You are asked to evaluate the following two projects for Boring Corporation. Use a discount rate...

You are asked to evaluate the following two projects for Boring Corporation. Use a discount rate of 12 percent. Use Appendix B.

Project X (DVDs
of the Weather Reports)
($36,000 Investment)

Project Y (Slow-Motion
Replays of Commercials)
($56,000 Investment)

Year    Cash Flow Year Cash Flow
1 $18,000 1 $28,000
2 16,000 2 21,000
3 17,000 3 22,000
4 16,600 4 24,000

a. Calculate the profitability index for project X. (Round "PV Factor" to 3 decimal places. Round the final answer to 2 decimal places.)

PI            

b. Calculate the profitability index for project Y. (Round "PV Factor" to 3 decimal places. Round the final answer to 2 decimal places.)

PI            

c. Using the NPV method combined with the PI approach, which project would you select? Use a discount rate of 12 percent.

  • Project Y

  • Project X

Solutions

Expert Solution

a.

Project X Project Y
NPV $ 15,487.60 $ 16,669.00

b.

Project X Project Y
Profitability Index (PI) 1.43 1.30

c.

Project Y

Based on NPV, Project Y is better. But, based on PI, Project X is better.

The objective of investment is to created money.So, NPV method is preferred over others to decide in case of conflict of decison.

Thus, Project Y is better.

Step-1:Calculation of present value of annual cash flow
Project X:
Year Cash Flow Discount factor Present Value
a b c=1.12^-a d=b*c
1 $       18,000              0.893 $ 16,074.00
2 $       16,000              0.797 $ 12,752.00
3 $       17,000              0.712 $ 12,104.00
4 $       16,600              0.636 $ 10,557.60
Total $ 51,487.60
Project Y:
Year Cash Flow Discount factor Present Value
a b c=1.12^-a d=b*c
1 $       28,000              0.893 $ 25,004.00
2 $       21,000              0.797 $ 16,737.00
3 $       22,000              0.712 $ 15,664.00
4 $       24,000              0.636 $ 15,264.00
Total $ 72,669.00
Step-2:Calculation of NPV and PI
NPV of:
Project X = Present Value of annual cash flow - Investment
= $ 51,487.60 - $ 36,000.00
= $ 15,487.60
Project Y = Present Value of annual cash flow - Investment
= $ 72,669.00 - $ 56,000.00
= $ 16,669.00
Profitability Index of :
Project X = Present Value of annual cash flow / Investment
= $ 51,487.60 / $ 36,000.00
=                1.43
Project Y = Present Value of annual cash flow / Investment
= $ 72,669.00 / $ 56,000.00
=                1.30

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