​(Common stock​ valuation) Assume the​ following: the​ investor's required rate of return is ​percent, the expected level of earnings at the end of this year ​(​) is ​$​, the retention ratio is ​percent, the return on equity ​(ROE​) is percent​ (that is, it can earn percent on reinvested​ earnings), and similar shares of stock sell at multiples of times earnings per share. ​Questions: a. Determine the expected growth rate for dividends. b. Determine the price earnings ratio ​(P​/​). c. What is the stock price using the​ P/E ratio valuation​ method? d. What is the stock price using the dividend discount​ model? e. What would happen to the ​P/E ratio ​(P​/​) and stock price if the firm could earn percent on reinvested earnings ​(ROE​)? f. What does this tell you about the relationship between the rate the firm can earn on reinvested earnings and ​P/E​ ratios?