4. The Rogers Company is currently in this situation: (1) EBIT = $4.7 million; (2) tax rate, T = 40%; (3) value of debt, D = $2 million; (4) ra = 10%; (5) r, = 15%; (6) shares of stock outstanding, n = 600,000; and stock price, P= $30. The firm's market is stable and it expects no growth, so all earnings are paid out as dividends. The debt consists of perpetual bonds. a) What is the total market value of the firm's stock, S, and the firm's total market value, V? b) What is the firm's weighted average cost of capital? c) Suppose the firm can increase its debt so that its capital structure has 50% debt, based on market values (it will issue debt and buy back stock). At this level of debt, its cost of equity rises to 18.5% and its interest rate on all debt will rise to 12% (it will have to call and refund the old debt). What is the WACC under this capital structure? What is the total value? How much debt will it issue, and what is the stock price after the repurchase? How many shares will remain outstanding after the repurchase? 1. Stocks A and B have the following historical retums: Yea Stock A retur Stock B retur 200. (24 25%) 5.5% 200: 18.59 26.73% 2006 38.67% 48.25% 200' 14.33% (4.5%) 43.86% 200: 39.13% a) Calculate the average rate of return for each stock during the period 2004 through 2008 Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would the realized rate of retum on the portfolio have been in each year from 2004 through 20082 What would the average retum on the portfolio have been during that period? b) Calculate the standard deviation of retums for each stock and for the portfolio c) Looking at the annual retums on the two stocks, would you guess that the correlation coefficient between the two stocks is closer to +0.8 or to -0.8? d) If more randomly selected stocks had been included in the portfolio, which of the following is the most accurate statement of what would have happened to p? p would have remained constant ii. p would have been in the vicinity of 20%. pwould have declined to zero if enough stocks had been included