Year Cash Flow 0 –$ 17,800 1 10,100 2 9,000 3 5,500 What is the profitability in
ID: 2720142 • Letter: Y
Question
Year Cash Flow
0 –$ 17,800
1 10,100
2 9,000
3 5,500
What is the profitability index for the set of cash flows if the relevant discount rate is 10 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
What is the profitability index for the set of cash flows if the relevant discount rate is 15 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
What is the profitability index for the set of cash flows if the relevant discount rate is 22 percent? (Do not round intermediate calculations and round your answer to 3 decimal places, e.g., 32.161.)
Explanation / Answer
year Cash flow A B C X PVF@10% (y) X*Y PVF@15%(Z) X*Z PVF@22%(S) X*S 1 10100 .90909 9181.81 .86957 8782.66 .81967 8278.67 2 9000 .82645 7438.05 .75614 6805.26 .67186 6046.74 3 5500 .75131 4132.21 .65752 3616.36 .55071 3028.91 Present value of cash flow 20752.06 19204.28 17354.31 Profitability index =Present value/Initial investment 20752.06/17800 19204.28/17800 17354.31/17800 = 1.166 = 1.079 = .975
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