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

ID: 2650625 • Letter: W

Question

  

  

What is the profitability index for the above set of cash flows if the relevant discount rate is 11 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 16 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 23 percent? (Do not round intermediate calculations.Round your answer to 3 decimal places (e.g., 32.161).)

  

  

Consider the following cash flows:

Explanation / Answer

Profitability index= Present value of cash inflows / Initial investment

1) PI = 32904/29600 i.e 1.111

2) PI = 30331/29600 i.e 1.024

3) PI = 27265/29600 i.e 0.9211

Particulars Year Cash Flow PVF @ 11% PVF @ 16% PVF @ 23% PV @ 11% PV @ 16% PV @ 23% Cash outflow 0 29600 1 1 1        29,600        29,600        29,600 Present value of cash outflows        29,600        29,600        29,600 Cash inflow 1 14100 0.9009 0.8621 0.813        12,703        12,156        11,463 Cash inflow 2 14800 0.8116 0.7432 0.661        12,012        10,999           9,783 Cash inflow 3 11200 0.7312 0.6407 0.5374           8,189           7,176           6,019 Present value of cash inflows        32,904        30,331        27,265 Net Present Value           3,304              731         -2,335
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