Which of the following is not true?

A$.$ The net present value method is superior to the profitability index method, when comparing projects with different investment sizes.

B$.$ Even if the net present value of a project is negative, its profitability index will be still positive.

C$.$ The net present value method is the only capital budgeting method that goes by dollar amounts.

D$.$ The higher the discount rate is$,$ the smaller the present value will be$.$

E$.$ The later a cash inflow occurs, the smaller its present value will be$.$