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?
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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