In: Finance
For a project with normal cash flows, if IRR = the required return (discount rate), then NPV = 0, and the profitability index = 1.0.
Group of answer choices
True
False
For a project with normal cash flows, if IRR = the required return (discount rate), then NPV = 0, and the profitability index = 1.0.
Answer: True
IRR is the rate or the firm's cost of capital that makes the present value of the project's cash inflows equal the initial investment.
I.e. IRR is the rate at which NPV is Zero.
NPV = Present value of project cash inflows – Initial Investment
Profitability Index = Present value of project cash inflows ÷ Initial Investment
When NPV is Zero, Present value of project cash inflows & Initial Investment will be same.
In that case profitability Index will be 1
Example
Initial Investment = $ 1000
Present Value of cash inflows = $ 1000
NPV = Present value of project cash inflows – Initial Investment
= $1000 - $1000
=$0
Profitability Index = Present value of project cash inflows ÷ Initial Investment
= $1000 ÷ $1000
=1