Vanshika and Hashem Investment Firm is an unlevered corporation which has $$250$ million of excess cash and $100$ million shares outstanding with a current market price of $$40$ per share. The board of directors of Vanshika and Hashem Investment Firm has declared a special dividend of $$250$ million.

A$)$ Calculate the ex$-$dividend price of a share in Vanshika and Hashem Investment Firm.

B$)$ If the board had decided to use the cash to do a "one$-$time" share repurchase, what would be the price of the shares once the repurchase is completed?