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

ID: 2650631 • Letter: W

Question

  

  

What is the profitability index for the above set of cash flows if the relevant discount rate is 8 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 13 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 20 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 8 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 = 13800/1.08 + 15100/1.08^2 + 11500/1.08^3

PV of Cash Inflow = $ 34852.66

PV of Cash Outflow = $ 29900

Profitability index = 34852.66/29900

Profitability index = 1.166

Answer

  Profitability index 1.166

  

  

Requirement 2:

What is the profitability index if the discount rate is 13 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 = 13800/1.13 + 15100/1.13^2 + 11500/1.13^3

PV of Cash Inflow = $ 32007.98

PV of Cash Outflow = $ 29900

Profitability index = 32007.98/29900

Profitability index = 1.071

Answer

  Profitability index 1.071

  

  

Requirement 3:

What is the profitability index if the discount rate is 20 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 = 13800/1.20 + 15100/1.20^2 + 11500/1.20^3

PV of Cash Inflow = $ 28641.20

PV of Cash Outflow = $ 29900

Profitability index = 28641.20/29900

Profitability index = 0.958

Answer

  Profitability index 0.958

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