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Year Cash Flow 0 -18,600 1 10,900 2 9,800 3 6,300 What is the profitability inde

ID: 2632507 • Letter: Y

Question

Year Cash Flow

0 -18,600

1 10,900

2 9,800

3 6,300

What is the profitability index for the set of cash flows if the relevant discount rate is 10 percent?

What is the profitability index for the set of cash flows if the relevant discount rate is 15 percent?

What is the profitability index for the set of cash flows if the relevant discount rate is 22 percent?

What is the profitability index for the set of cash flows if the relevant discount rate is 10 percent?

What is the profitability index for the set of cash flows if the relevant discount rate is 15 percent?

What is the profitability index for the set of cash flows if the relevant discount rate is 22 percent?

Explanation / Answer

a)


PV of cash flows = 10900/1.1 + 9800/1.1^2 +6300/1.1^3

=22741.5477085

Profitability index = 22741.5477085/18600 = 1.22

b)


PV of cash flows = 10900/1.15 + 9800/1.15^2 +6300/1.15^3

=21030.8210734

Profitability index = 21030.8210734/18600 = 1.13


c)


PV of cash flows = 10900/1.22 + 9800/1.22^2 +6300/1.22^3

=18988.1311652

Profitability index = 18988.1311652/18600 = 1.02