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What is the profitability index for the above set of cash flows if the relevant

ID: 2644065 • Letter: W

Question

  

  

What is the profitability index for the above set of cash flows if the relevant discount rate is 10 percent?(Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)

  

  

  

What is the profitability index if the discount rate is 15 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)

    

  

  

What is the profitability index if the discount rate is 22 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)

  

  

Consider the following cash flows:

Explanation / Answer

1)

PV of cash flows from year1 = 14700/1.1 + 14200/1.1^2 + 10600/1.1^3 = 33063.1104433

Profitability index = 33063.1104433/29000 = 1.140

2)

PV of cash flows from year1 = 14700/1.15 + 14200/1.15^2 + 10600/1.15^3 = 30489.520835

Profitability index = 30489.520835/29000 = 1.051

3)

PV of cash flows from year1 = 14700/1.22 + 14200/1.22^2 + 10600/1.22^3 = 27427.1194505

Profitability index = 27427.1194505/29000 = 0.946

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