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Year Cash Flow 0) –$ 17,400 1) 9,700 2) 8,600 3) 5,100 What is the profitability

ID: 2737448 • Letter: Y

Question

Year Cash Flow

0) –$ 17,400

1) 9,700

2) 8,600

3) 5,100

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

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

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

Explanation / Answer

profitability index =Present value of future cash flows/initial investment

1)

when discount rate is 11%

PV=9700/1.11^1+8600/1.11^2+5100/1.11^3=19447.77

profitability index =Present value of future cash flows/initial investment=19446.77/17400=1.118

2)

when discount rate is 16%

PV=9700/1.16^1+8600/1.16^2+5100/1.16^3=18020.62

profitability index =Present value of future cash flows/initial investment=18020.62/17400=1.036

1)

when discount rate is 23%

PV=9700/1.23^1+8600/1.23^2+5100/1.23^3=16311.28

profitability index =Present value of future cash flows/initial investment=16311.28/17400=0.937