Consider the following projects:
Project | C0 | C1 | C2 | |||||||||||
A | − | $ | 2,850 | + | $ | 2,750 | + | $ | 1,950 | |||||
B | − | 2,850 | + | 2,190 | + | 1,878 | ||||||||
a. Calculate the profitability index for A and B assuming a 22% opportunity cost of capital.
Project A:
Project B:
Project A:
Present value = Future value / (1 + rate)^time
Present value of cash flows = 2750 / (1 + 0.22)^1 + 1950 / (1 + 0.22)^2
Present value of cash flows = 2,254.098361 + 1,310.131685
Present value of cash flows = 3,564.230046
profitability index = Present value of cash flows / initial investment
profitability index = 3,564.230046 / 2850
profitability index = 1.25
Project B:
Present value = Future value / (1 + rate)^time
Present value of cash flows = 2,190 / (1 + 0.22)^1 + 1,878 / (1 + 0.22)^2
Present value of cash flows = 1,795.081967 + 1,261.757592
Present value of cash flows = 3,056.839559
profitability index = Present value of cash flows / initial investment
profitability index = 3,056.839559 / 2850
profitability index = 1.07
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