Question

Assuming a specific single project with normal cash flows and a cost of capital of 10%, which of the following statements will ALWAYS be true?

a. If NPV > 0 at the stated cost of capital (i.e., 10%), then NPV will also be > 0 at a cost of capital of 12%.
b. If NPV > 0, then Profitability Index > 0.
c. If NPV > 0, then Payback Period > 0.
d. If NPV > 0, then a simple sum of the cash inflows of the project will always be greater than the cost of the project (i.e, the year 0 cash flow).
e. If NPV > 0, then IRR > 0.

Answer 1

b. If NPV > 0, then Profitability Index > 0.

c. If NPV > 0, then Payback Period > 0.

d. If NPV > 0, then a simple sum of the cash inflows of the project will always be greater than the cost of the project (i.e, the year 0 cash flow).

e. If NPV > 0, then IRR > 0

Step-by-step explanation:

The net present value shows the net worth of the assets or the project at the discount rate or the cost of capital. In the case when the net present value comes in positive so the internal rate of return should be more than the cost of capital

Also the profitability index lies between -1 and +1 so if the net present value is positive so the profitability should be more than 1

Hence, b to e statements are correct