Which of the following is true of internal rate of return $($IRR$)?$

A$.$ If it is the lower, it is the better.

B$.$ It is the discount rate that makes the profitability index $1.$

C$.$ If the NPV of a project is positive, its discount rate is higher than IRR.

D$.$ If a project's IRR is higher than its discount rate, the project should be rejected.

E$.$ If a project's IRR becomes higher, its net present value will become smaller.