What is the profitability index for the following set of cash flows if the relevant discount rate is 10 percent? What if the discount rate is 15 percent? If it is 22 percent? Year Cash Flow
0 -16,700
1-9,700
2 -7,800
3 - 4,300
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Answer:
discount rate = 10%
profitability index = pv of future cash flows/initial
investment
= (9700/1.1 + 7800/1.1^2 + 4300/1.1^3)/16700
=1.1075
discount rate = 15%
profitability index = pv of future cash flows/initial
investment
= (9700/1.15 + 7800/1.15^2 + 4300/1.15^3)/16700
=1.027546
discount rate = 22%
profitability index = pv of future cash flows/initial
investment
= (9700/1.22 + 7800/1.22^2 + 4300/1.22^3)/16700
= 0.9317
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