Question

Your hospital is considering buying personal computers to install in each patient’s room. The cost of...

Your hospital is considering buying personal computers to install in each patient’s room. The cost of the investment to the hospital will be $1,400,000. It is expected that these PCs will reduce nursing costs by $200,000 per year for the next seven years. If your discount rate is 10 percent,

a) What is the Net Present Value of the investment?

b) What is the profitability index of this investment?

Homework Answers

Answer #1

a)

Net present value = Present value of cash inflows - present value of cash outflows

Net present value = Annuity * [1 - 1 / (1 + r)n] / r - Initial investment

Net present value = 200,000 * [1 - 1 / (1 + 0.1)7] / 0.1 - 1,400,000

Net present value = 200,000 * 4.86842 - 1,400,000

Net present value = 973,683.7635 - 1,400,000

Net present value = -$426,316.24

b)

Present value = 200,000 * [1 - 1 / (1 + 0.1)7] / 0.1 - 1,400,000

present value = 200,000 * 4.86842

present value = 973,683.7635

Profitability index = Present value / initial invesntment

Profitability index = 973,683.7635 / 1,400,000

Profitability index = 0.695

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