calculate value before and after recapitalization

1)[17-24]** Seger plc is an unlevered firm with expected annual earnings before taxes of 35 million in perpetuity. The current required return on the firm's equity is 20 per cent, and the firm distributes all of its earnings as dividends at the end of each year. The company has 1.5 million ordinary shares outstanding, and is subject to a corporate tax rate of 28 per cent. The firm is planning a recapitalization under which it will issue 40 million of perpetual 9 per cent debt and use the proceeds to buy back shares. a) Calculate the value of the company before the recapitalization plan is announced. What is the value of equity before the announcement? What is the price per share? b) Use the APV method to calculate the company value after the recapitalization plan is announced. What is the value of equity after the announcement? (Note, the debt has yet to be issued). What is the price per share? c) How many shares will be repurchased? (Use your answer to b)). What is the value of equity after the repurchase has been completed? What is the price per share? d) Use the flow to equity method to calculate the value of the company's equity after the recapitalization