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Year Cash Flow 0 –$ 18,400 1 10,700 2 9,600 3 6,100 What is the profitability in

ID: 2782296 • Letter: Y

Question

Year Cash Flow 0 –$ 18,400 1 10,700 2 9,600 3 6,100 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

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

At 11%

Present value of inflows=10700/1.11+9600/1.11^2+6100/1.11^3

=$21891.48(Approx)

PI=Present value of inflows/Present value of outflows

=$21891.48/$18400=1.190

At 16%

Present value of inflows=10700/1.16+9600/1.16^2+6100/1.16^3

=$20266.51(Approx)

PI=Present value of inflows/Present value of outflows

=$20266.51/$18400=1.101(Approx)

At 23%

Present value of inflows=10700/1.23+9600/1.23^2+6100/1.23^3

=$18322.66(Approx)

PI=Present value of inflows/Present value of outflows

=$18322.66/$18400=0.996(Approx)