Which of the Following Statements Is FALSE

Which of the following statements is FALSE?

A) As the firm borrows at the low cost of capital for debt, its equity cost of capital rises, but the net effect is that the firm's WACC is unchanged.
B) With perfect capital markets, a firm's WACC is dependent on its capital structure and is equal to its equity cost of capital only if the firm is unlevered.
C) Although debt has a lower cost of capital than equity, leverage does not lower a firm's WACC.
D) With no debt, the WACC is equal to the unlevered equity cost of capital.