Question

Unless stated otherwise, interest is compounded annually, and payments occur at the end of the period....

Unless stated otherwise, interest is compounded annually, and payments occur at the end of the period. Face value for bonds is $1000.

  1. For the project below, you have the following cash flows. The maximum payback period is 3 years and the cost of capital is 8%.   

Project

Investment

CF 1

CF 2

CF 3

CF 4

See

-900,000

320,000

380,000

440,000

310,000

Calculate the profitability index. Do you accept the project? Explain.

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Answer #1

Profitability index = Present value / investment

Present value = 320,000 / (1 + 0.08)1 + 380,000 / (1 + 0.08)2 + 440,000 / (1 + 0.08)3 + 310,000 / (1 + 0.08)4

Present value = $1,199,230.488

Profitability index = 1,199,230.488 / 900,000

Profitability index = 1.33

You should NOT accept the project.

A project with profitability index less than 0 should be rejected. A project with profitability index will have a negative NPV and will reduce the value of the company.

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