Question

Consider the following projects: Project C0 C1 C2 A − $ 2,850 + $ 2,750 +...

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:

Homework Answers

Answer #1

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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