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

ID: 2650610 • Letter: W

Question

  

  

What is the profitability index for the above set of cash flows if the relevant discount rate is 9 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 14 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 21 percent? (Do not round intermediate calculations.Round your answer to 3 decimal places (e.g., 32.161).)

  

  

Consider the following cash flows:

Explanation / Answer

Requirement 1: What is the profitability index for the above set of cash flows if the relevant discount rate is 9 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)

    Profitability index = PV of Cash Inflow/PV of Cash Outflow

PV of Cash Inflow = 14400/1.09 + 14500/1.09^2 + 10900/1.09^3

PV of Cash Inflow = $ 33,832.17

PV of Cash Outflow = $ 29300

Profitability index = 33832.17/29300

Profitability index = 1.155

Answer

  Profitability index 1.155

  

  

Requirement 2:

What is the profitability index if the discount rate is 14 percent? (Do not round intermediate calculations.Round your answer to 3 decimal places (e.g., 32.161).)

    

Profitability index = PV of Cash Inflow/PV of Cash Outflow

PV of Cash Inflow = 14400/1.14 + 14500/1.14^2 + 10900/1.14^3

PV of Cash Inflow = $ 31146.05

PV of Cash Outflow = $ 29300

Profitability index = 31146.05/29300

Profitability index = 1.063

Answer

  Profitability index 1.063

  

  

Requirement 3:

What is the profitability index if the discount rate is 21 percent? (Do not round intermediate calculations.Round your answer to 3 decimal places (e.g., 32.161).)

  

Profitability index = PV of Cash Inflow/PV of Cash Outflow

PV of Cash Inflow = 14400/1.21 + 14500/1.21^2 + 10900/1.21^3

PV of Cash Inflow = $ 27957.29

PV of Cash Outflow = $ 29300

Profitability index = 27957.29/29300

Profitability index = 0.954

Answer

  Profitability index 0.954

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